What is the area of rectangle PQRS? ​

What Is The Area Of Rectangle PQRS?

Answers

Answer 1

The area of a rectangle is l*w. We have the length as 4.5 in and we can find the width by doing 3+2+4.5 = 9.5 in.

Then, we multiply them. 4.5*9.5 = 42.75 inches²


Related Questions

I have already done Number one but I need help with 2. Please help when you find time to!

Answers

Answer:

Step-by-step explanation:

Formulae

Area of a triangle = 1/2 x base x height

Area of a rectangle = width x length

Question 1

Surface area of square based pyramid = area of base + 4 × area of triangle

⇒ SA = (6 × 6) + 4(1/2 × 6 × 14)

         = 36 + 168

         = 204 yd²

Question 2

Surface area of a cuboid = 2 × base area + 2 × end area + 2 × side area

⇒ SA = 2(10 × 6) + 2(6 × 3) + 2(10 × 3)

         = 120 + 36 + 60

         = 216 mm²

Extra credit question

Surface area of a triangular based prism = base area + 2 × triangle area + 2 × side areas

base area = 3 × 10 = 30 mm²

triangle area = 1/2 × 3 × 2 = 3 mm²

side area = 10 × 2.5 = 25 mm²

⇒ total SA = 30 + (2 × 3) + (2 × 25)

                 = 30 + 6 + 50

                 = 86 mm²

Concept :-

We can solve these questions by using the formulas of area of triangle and rectangle, which will make our work easier. So, we know that,

[tex] \blue{ \underline{ \boxed{ \begin{array}{cc} \sf1. ~Area_{Triangle} = \dfrac{1} {2} \times b \times h \qquad \: \: \: \: \: \: \: \\ \\ \\ \sf2. \: Area_{Rectangle} = Length \times Breadth \end{array}}}} \\ \\ [/tex]

Using these formulas and figuring out the number of triangles and rectangles in each shape, we will solve this question.

Solution :-

1. In this square pyramid, if we closely observe, we will get to know that there are 1 rectangle and 4 triangular faces. Thus,

[tex]\sf \hookrightarrow Area=6 \times 6 + 4( \dfrac{1}{2} \times 6 \times 14) \\ \\ \\ \sf \hookrightarrow Area=36 + 168 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {204 \: yd}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ [/tex]

2. Now, here, we can use the formula of total surface area for cuboid, i.e.

TSA = 2( lb + bh + hl )

[tex]\sf \hookrightarrow Area=2(10 \times 6 + 6 \times 3 + 10 \times 3) \\ \\ \\ \sf \hookrightarrow Area=2(60 + 18 + 30) \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=2 \times 108 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {216 \: mm}^{2} \: \: \qquad \qquad \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Extra Credit Question.

Here, we can find out the total surface area by finding,

Base area i.e. length x breadth ( B.A. )

Side area i.e. length x breadth ( S.A. )

triangular area = 1/2 x b x h ( T.A. )

Now,

TSA = BA + 2 x S.A. + 2 x T.A.

[tex]\sf \hookrightarrow Area=(10 \times 3) + 2(10 \times 2.5) + 2(\dfrac{1}{2} \times 3 \times 2) \\ \\ \\ \sf \hookrightarrow Area= 30 + 2 \times 25 + 2 \times 3 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area=30 + 50 + 6 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow Area= {86 \: mm}^{2} \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ [/tex]

Which equation best models the data shown on the scatter-plot below?

Answers

The scatterplot is an illustration of a linear regression.

The equation that best models the scatter plot is y = 4x+ 35

How to determine the equation of the scatterplot?

The equation of a linear regression is represented as:

y = mx + b

Where:

m represents the slope

b represents the y-intercept

From the graph, we have the following points on the line of best fit (see attachment)

(x,y) = (10,75) and (20,105)

The equation is then calculated as:

[tex]y = (\frac{y_2 - y_1}{x_2 - x_1})(x -x_1) + y_1[/tex]

This gives

[tex]y = (\frac{105 - 75}{20- 10})(x -10) + 75[/tex]

Evaluate

[tex]y = 4(x -10) + 75[/tex]

Open the bracket

[tex]y = 4x -40 + 75[/tex]

Simplify

[tex]y = 4x+ 35[/tex]

Hence, the equation that best models the scatter plot is y = 4x+ 35

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What is the volume of the triangular prism

Answers

Answer:

A.

Step-by-step explanation:

hope its help^^

#carry on learning

Help pls!!!!!!!!!

ddddddddddddddd

Answers

#3- 1436.76
#4- 4188.79
#5- 3053.63
#6- 523.6
#7- 33.51
#8- 5575.28
I’m pretty sure

Convert 2.25 to a mixed number and an improper fraction. Write answers in the simplest form.

Answers

Answer: Answer in picture

Step-by-step explanation:

Math

Review the work showing the first few steps in writing a partial fraction decomposition.

StartFraction 4 x + 40 Over (x + 2) (x + 6) EndFraction = StartFraction A Over x + 2 EndFraction + StartFraction 16 Over x + 6 EndFraction
4x + 40 = A(x + 6) + B(x + 2)
4x + 40 = Ax + 6A + Bx + 2B

What is the partial fraction decomposition in terms of x?

Answers

Answer:

8/(x + 2) - 4/(x + 6)

Step-by-step explanation:

4x + 40 = Ax + 6A + Bx + 2B

Equating coefficients of x

4 = A + B      (1)

Equating constant terms:

40 = 6A + 2B    (2)

Multiply  equation (1) by -2:

-8 = -2A - 2B   .. (3)

Add (2) and (3):

32 = 4A

A = 32/4

A = 8.

4 = 8 + B

B = 4 - 8

B = -4.

The decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

What is partial fraction?

The partial fraction is the result of writing a rational expression as the sum of two or more fractions.

According to the given question.

We have a partial fraction

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A}{(x+2)} +\frac{B}{(x+6)}[/tex]

We have to decompose the above partial fraction in terms of x.

The above partial fraction can be written as

[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{A(x+6)+B(x+2)}{(x+2)(x+6)}[/tex]

⇒[tex]4x+40 = A(x+6)+B(x+2)[/tex]

⇒[tex]4x + 40 = Ax + 6A + Bx + 2B[/tex]

⇒[tex]4x + 40 = x(A+B) +6A + 2B...(i)[/tex]

On comparing the coefficient of x and the constant terms.

[tex]A+B = 4..(ii)[/tex]

⇒[tex]A = 4 - B[/tex]

and, [tex]6A+2B = 40..(iii)[/tex]

⇒[tex]2(3A+B) = 40[/tex]

Substitute the value of A in (iii)

⇒[tex]2(3A+B) = 40[/tex]

⇒[tex]3A+B = 20[/tex]

⇒[tex]3(4-B)+B = 20[/tex]

⇒[tex]12 - 3B +B = 20[/tex]

⇒[tex]12 - 2B = 20[/tex]

⇒[tex]-2B = 8[/tex]

⇒[tex]B = -4[/tex]

So, [tex]A = 4-(-4) = 8[/tex]

Substitute the value of A and B in the given partial fraction.

⇒[tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex]

Hence, the decomposition of the given partial fraction in terms of x is [tex]\frac{4x+40}{(x+2)(x+6)} =\frac{8}{(x+2)}-\frac{4}{(x+6)}[/tex].

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Melanie invested $9,800 in an account paying an interest rate of 4.5 compounded quarterly. Amelia invested $9,800 in an account paying an interest rate of 4.75 compounded continuously. After 20 years, how much more money would Amelia have in her account than Melanie, to the nearest dollar?

Answers

Answer:

$13,082.60 more

Step-by-step explanation:

Melanie:

[tex]A=P(1+\frac{r}{n})^(20)\\ A=9800(1+\frac{.045}{4})^(20)\\A=$12,257.36[/tex]

Amelia:

[tex]A=Pe^(rt)\\A=9800e^(.0475*20)\\A=$25,339.95[/tex]

Amelia-Melanie= $13,082.60

The volumes of two similar solids have an 125 : 216 ratio. What is the ratio of their side lengths

Answers

Answer:

5:6

Step-by-step explanation:

To find the ratio of side lengths you need to cube root of the ratio of the volumes. The reason you use the cube root is because you are multiplying 3 things together when you find volume.

[tex]\sqrt[3]{\frac{125}{216} } =\frac{5}{6}[/tex]

5 : 6

help me please, im struggling

Answers

Answer:

8.57

Step-by-step explanation:

Hope it helps.......

Answer:

x = 8.57

Step-by-step explanation:

Hi! So first of all, I attached an image that has my best visual explanation of how the 2 triangles overlap but are indeed two separate triangles!

Since the question states that the triangles are similar, that basically means in simple terms that their sides are proportional or, are all based on the same fraction (proportion)! (An example of this is the triangles with the sides that correlate [in this problem, 11 to 7] would be 1 to 2, 3 to 6, and 4 to 8)

Now, we have to figure out which of our sides correspond, the first one being 11 to 7, and the second one being x + 15 (which I got by adding the small portion I have from the big triangle, and the portion I have from the smaller triangle together because the small triangle is inside of the big one!) to 15.

Next, I have to find out what x is based on the fraction (proportion) I already have which is 11 to 7 or [tex]\frac{11}{7}[/tex]. Then, I compare this by setting this proportion equal to are other proportion with x in it!

[tex]\frac{11}{7} = \frac{x+15}{15}[/tex]

Finally, I have to get x by itself to find what it is equal to, which you can see in the image! (If you have a number in the denominator and a variable in the numerator, and a regular number or fraction without a variable on the other side, you can just multiply both sides by the number in the denominator to cancel out the bottom of said variable fraction!)

So! X is equal to 8.57!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO


[tex] \binom{4a + 3}{5} - \binom{2a + 3}{3} [/tex]
simplify the fraction

Answers

I assume your question was to simplify the following fraction ;

[tex]{:\implies \quad \sf \dfrac{4a+3}{5}-\dfrac{2a+3}{3}}[/tex]

Taking LCM will yield ;

[tex]{:\implies \quad \sf \dfrac{3(4a+3)-5(2a+3)}{15}}[/tex]

[tex]{:\implies \quad \sf \dfrac{12a+9-10a-15}{15}}[/tex]

[tex]{:\implies \quad \boxed{\bf \dfrac{2a-6}{15}}}[/tex]

This is the required answer

Brody rearranged the entertainment room at his house. Before the move, he had his game console plugged into an electrical cord that was 60 inches long. After he moved everything, he had to add an additional cord that was 2 feet long.

How many feet of electrical cord did he use altogether?

Answers

Answer:

7 feet

Step-by-step explanation:

60 inches is 5 feet add the 2 feet

La distancia entre dos ciudades A y B es de 255 km. Un automovil sale de A hacia B a una velocidad de 90 km/h. Al mismo tiempo sale, otro automovil de B hacia A a una velocidad de 80 km/h. Suponiendo su velocidad constante , calcula la distancia que ha recorrido cada uno hasta el momento del encuentro

Answers

Usando proporciones, hay que:

El auto A hay recorrido 135 km.El auto B hay recorrido 120 km.

¿Qué es una proporción?

Una proporción es una fracción de la cantidad total.

En este problema, dos automovis, en sentidos opostos, salen al mismo tiempo. Por eso, su velocidad relativa es de 90 km/h + 80 km/h = 170 km/h.

La distancia es de 255 km, por eso, el tiempo en que se encontraran, en horas, es dado por:

t = 255/170 = 1.5h

La distancia recorrida por cada auto es dada por:

dA = 90 x 1.5 = 135 km.

dB = 80 x 1.5 = 120 km.

Puede-se aprender mas a cerca de proporciones en brainly.com/question/26425852

Help Please!!!!!!!
I give Brainlist

Your grandmother gives you $1500 to invest in a savings account on your 15th birthday. The only condition is that you may NOT use it until you have graduated high school at 18. After researching savings accounts, you come up with two options.



1) A high interest savings account, with 2.5% simple interest annually or

2) A High Yield Savings account with 2% interest compounded annually.



Which account will you chose and why?

Answers

Answer:

Step-by-step explanation:

This is a logical question that can be d=solved thus;

To decide which decision to make,one has to calculate the amount for both methods to detrmine which is higher.

1. Using simple interest formula of ( P X R X T)/ 100

Since p  = 1500, r  = 2.5%,  T = 3

1500 x 2.5% x 3  / 100  =  1500 x 0.025 x 3 / 100

112.5 / 100 = 1.125

to find amount  = 1.125 + 1500 = 1501.25 for the three 3years.

2. Using compound interest formula of ( P ( 1 + r/n)∧nt

1 + (2%/3) ∧3(3)

1500( 0.02/3) ∧ 9

1500  x 0.006 ∧9

1500 x 2.60 = 3900

A = 3900 + 1500 = 5400

SO FROM THE ABOVE I WILL G FOR THE HIGH YIELD SAVINGS AS IT IS HIGHER THAN THE INTEREST SAVINGS

Given the data from the question, the best account to use is:

A high interest savings account, with 2.5% simple interest annually (Option 1)

Simply interest formula

I = PRT / 100

A = I + P

Where

I is the interest P is the principal R is the rate T is the time A is the amount after time t

Compound interest formula

A = P(1 + r/n)ⁿᵗ

Where

A is the amount after time tP is the principal r is the rate t is the time n is number of times compounded per annual

Case 1 (simple interest) Principal (P) = $ 1500Rate (R) = 2.5%Time (T) = 3 years Interest (I) =? Amount (A) =?

I = PRT / 100

I = (1500 × 2.5 × 3) / 100

I = $ 112.5

Thus

A = I + P

A = 112.5 + 1500

A = $ 1612.5

Case 2 (compound interest) Principal (P) = $ 1500Rate (R) = 2% = 0.02Time (T) = 3 years Number of time compounded annually (n) = 1Amount (A) =?

A = P(1 + r/n)ⁿᵗ

Since n = 1,

A = P(1 + r)ᵗ

A = 1500(1 + 0.02)³

A = $ 1591.8

SUMMARY

The amount at the end of 3 years using:

A High interest savings account, with 2.5% simple interest annually is $ 1612.5A High Yield Savings account with 2% interest compounded annually is $ 1591.8

Thus, the best account to use is a high interest savings account, with 2.5% simple interest annually (option 2)

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NEED HELP ASAP!!!!

Which equations define y as a linear function of x ?
Select all that apply.

A
y=2x

B
y=5x3+3

C
y=12x−9

D
y=x2

E
y=4x2+2x

F
y=2(4x−2)+16

Answers

Answer: A, C, F

Step-by-step explanation:

Manny does not eat 4/9 of his orange at lunch. Josh does not 5/9 of his orange at lunch. How much orange do Manny and Josh have left over?

Answers

The amount of orange that Manny and Josh have leftover after eating lunch is 1.

What are fractions?

A fraction is a non-integer. A fraction usually has a numerator and a denominator. The numerator is the number above. While the denominator is the number below

How much orange is leftover?

Oranges Manny has left = 1 - 4/9 = 5/9

Oranges Josh has left = 1 - 5/9 = 4/9

Oranges they both have left = 5/9 + 4/9 = 1

To learn more about subtraction of fractions, please check: https://brainly.com/question/915789

Use the right triangular prism to find the total surface area of the prism. Leave label off answer.

Answers

Step-by-step explanation:

the total surface area is the sum of the 5 individual areas in the surface :

2 triangle sides (left and right).

1 back rectangle side

1 rectangle floor

1 inclined rectangle front side

to get the length of the baseline (Hypotenuse) of the right-angled triangles on the side. we use Pythagoras

c² = a² + b²

where c is the Hypotenuse (the side opposite of the 90° angle).

c² = 3² + 4² = 9 + 16 = 25

c = 5

so, now, we have everything we need.

the area of a triangle side (since it is right-angled) :

4×3/2 = 6

2 sides, that makes 12

the area of the back side

6×3 = 18

the area of the floor

6×4 = 24

the area of the inclined front side

6×5 = 30

so, the total surface area is

12+18+24+30 = 84

2640 yards= ________ miles
complete each conversion

Answers

So, 2640 yards = 2640 × 0.00056818181818182 = 1 12 or 1.5 miles. Conversion of 2640 yards to other length, height & distance units. 2640 yards = 2.41 kilometers.

After converting yards to miles:

2640 yards =  1.5 miles

Given,

2640 yards= ________ miles

Now,

To convert to yard to miles the conversion factor is 0.000568182.

So,

1 yard ⇒ 0.000568182 miles

Multiply 2640 on both sides,

2640 yards ⇒ 1.5 miles.

Therefore 2640 yards is equivalent to 1.5 miles.

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Let f(x)=3x-4 and g(x)=x^2-5. Find f(g(3))

Answers

Answer:

hello

g (x)= x² - 5

g (3) = 3² - 5 =  9 - 5 =  4

Step-by-step explanation:

If the number of bacteria in a
colony doubles every 25 hours
and there is currently a population
of 10,000 bacteria, what will the
population be 75 hours Trom now?

Answers

Answer:

The population of 75 hours from now would be 40,000.

Step-by-step explanation:

The reason for this is because your initial number is 10,000 and when 25 hours pass by, your population would be 20,000. Another 25 hours pass by, and then your population would be 40,000. If you multiply 25 by 3, you will notice 75 hours have just passed, so your answer would be 40,000.

3 kitchen assistants can prepare 10 kg of vegetables in 60 minutes. How long would it take 25 assistants to prepare the same amount?

Answers

Answer:

App. 83.33 kg

Step-by-step explanation:

10/60=0.167 kg/minute

0.167/3=0.056 kg/minute/person

0.056 x 25 x 60= 83.33...6

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP THANKS

Answers

For the first question it's 52.99 cm^3 because the formula for volume of a cylinder is V=πr^2h.

The second question is 722.57 or 722 cm^2 because the formula for surface area is A=2πrh+2πr^2.

hope it helps!

Answer:

For question 3: 52.9875 cm^3 or 52.99 cm^3.

For question 4: 1,413 cm^3.

Step-by-step explanation: To find the volume of a cylinder, you need the area of the base times the height.  We don't have the area of the base, but we can find out by using the formula 3.14 x r^2 where r is the radius, which is 1.5 for question 3 and 5 for question 4.  It should look like this:

For question 3: 3.14 x 1.5^2 = 7.065.

For question 4: 3.14 x 5^2 = 78.5.

When you find the area of the base, you multiply it by the height, which is 7.5 for question 3 and 18 for question 4.  It should look like this:

For question 3: 7.065 x 7.5 = 52.9875 or 52.99.

For question 4: 78.5 x 18 = 1,413.

Therefore, 52.9875 cm^3 or 52.99 cm^3 is your answer for question 3 and 1,413 cm^3 is your answer for question 4.

Let me know if this is right! :)

Find the slope of the line containing the following points by using the slope-formula, below: (-3, 6) (5, -9)

Answers

Answer:

Step-by-step explanation:

(x₁, y₁) = (-3 , 6)   &

(x₂ , y₂) = ( 5 , -9)

[tex]Slope =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

         [tex]=\dfrac{-9-6}{5-[-3]}\\\\\\=\dfrac{-15}{5+3}\\\\\\=\dfrac{-15}{8}[/tex]

Please I give lots of points

Answers

Answer: y = 12.5x

Step-by-step explanation:

Because 250 bottles are filled every 20 minutes:

250/20=12.5

So, x=1, y=12.5

Hence, x=2 y=25

Because the number of bottles is directly proportional to the operation of the machine so:

12.5=a+b, 25.2a+b

a=12.5, b=0

Therefore, the equation is y = 12.5x

The Desmos graph of y = 12.5x is attached below

6 , 9 , 12 , . . . 6,9,12,... Find the 34th term. Find the 34th term.

Answers

Answer:

105

Step-by-step explanation:

nth term=a+(n-1)d (a=first term,d=difference)

a=6,d=9-6=3

34th term=6+(34-1)3

=6+(33×3)

=6+99=105

help again thank you .

Answers

Answer:

Left 2, up 1

Step-by-step explanation:

If you use slope, remember rise/run. You go up then left.

Answer: left 2 up 1

Step-by-step explanation: I did it by using the rule rise over run so it goes up then left . Hope it helps

What is the value represented by the digit 8 after 7,824 is divided by 10

Answers

Answer:

See below.

Step-by-step explanation:

7,824/10=782.4

782.4

 |

The 8 is in the tens place. It represents 80.

-hope it helps

Answer:

80

Step-by-step explanation:

7824÷10=782.4

Therfore the 8 is in the tens place meaning that the 8 in this is 80

can someone please help me

Answers

40 dollars is the setup so it happens only once. It is a fixed cost.
10 dollars is for each shirt so it is a variable cost. Happens for every shirt.

Y is total cost:

Y= 40 + 10x

For one shirt:
Y=40+10(1)
Y=50

For five shirts:
Y=40+10(5)
Y= 90

For ten shirts:
Y=40+10(10)
Y=140

For fifty shirts:
Y=40+10(50)
Y= 540



Moussa owns a small business selling clothing. He knows that in the last week 92 customers paid cash, 5 customers used a debit card, and 25 customers used a credit card.
If next week, he is expecting 1600 customers, about how many would you expect to pay with cash? Round your answer to the nearest whole number.

Answers

Answer:

1207

Step-by-step explanation:

Total number of customers last week: 92 + 5 + 25 = 122

Number of customers who paid cash: 92

Percent of customers who paid cash last week: 92/122 × 100% = 75.4%

Next week:

Total number of customers: 1600

Expected number of customers paying cash:

75.4% of 1600 = 0.754 × 1600 = 1207

An adult takes 400mg of vitamin c.
Each hour, the amount of vitamin c in
the person's system decreases by about
29%. How much vitamin c is left after 6
hours?

Answers

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Answer:

51.24 mg

Step-by-step explanation:

400 x (0.71^6) = 51.24

Can someone please HELP ME I HAVE A TEST TMRW I STUDIED BUT I FORGOT HOW TO DO THIS STUFF CAN SOMEONE EXPLAIN IT TO ME

Answers

Answer:

1. (a. 8 b. 3 d. 6,6,12 e. 3,3,9) 2. (a. 2,3 b. 4,5 c. 6,6,2,3 d. 5,3,5) 3. (a.2/3 b.1/3 c.2/3 f.1/2 g.7/8 h.4/5)

Step-by-step explanation:

OK this is quite simple. Just multiply the top and bottom, otherwise known as the numerators and denominators, by whatever is next to it. In this case, 1a is [tex]\frac{2*4}{5*4}[/tex].

That would result in [tex]\frac{8}{20}[/tex]

Hey there!

In order to multiply fractions, we should multiply the numerator of the 1st fraction by the numerator of the 2nd fraction.

Same with denominators.

Let's multiply these fractions.

2/5=2*4/5*4=8/20

2/3=2*6/3*6=12/18

1/4=1*3/4*3=3/12

3/4=3*3/4*3=9/12

now divide:

10/15=10:5/15:5=2/3

12/18=12:6/18:6=2/3

12/15=12:3/15:3=4/5

15/25=15:5/25:5=3/5

Now, simplify the following fractions:

4/6

divide the top & bottom by 2:

2/3

next:

5/10

divide the top & bottom by 5:

1/2

next

5/15

divide the top & bottom by 5:

1/3

next:

12/18

divide the top & bottom. by 6

2/3

next

5/10

divide the top & bottom by 5

1/2

next

14/16

divide the top & bottom by 2

7/8

and then last but not least

28/35

divide the top & bottom by 7

4/5

And we're done!

Hope everything is clear.

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what is the war dance in Visayas Jason drew a square with a side length of 8 cm. and Bella drew a rhombus with a side length of 8 cm. Jason says the perimeter of the square is smaller than the perimeter of the rhombus. Bella says they have the same perimeter. Which of them is correct and why? A. Jason is correct because a square is always smaller than a rhombus. B. Bella is correct because the rhombus and square have equal side lengths. C. Jason is correct because a square has fewer sides than a rhombus. D. Bella is correct because a square is half the perimeter of the rhombus. 5 / 18 4 of 18 Answered ................................................................................................................./////////////////////////// HELLPPPP REALLLLYYY NEEDDDTHISS ANSWER which one is greater 7 pounds or 70 ounces The home health nurse is conducting a home safety assessment for an older adult client following a hospital aminsion for frequent falls. List three assessment findings that require intervetnion Nine wolves, eight female and one male, are to be released into the wild three at a time. If the male wolf is to be in the first released group and order does not matter, in how many ways can the first group of three wolves be formed? 28 ways 36 ways 56 ways 84 ways. What is the following product?30. 102.1103.104./1010/5 Do you think it would be possible to construct a pyramid where the number of carnivores was more than the number of herbivores? Why or why not? How did the Etruscans influence Roman culture?They did not believe in gods and goddesses.They destroyed Roman statues and temples.They built the first statues and temples in Rome.They wrote myths about the creation of Rome. Find the length of the diagonal. In this circuit, energy is transferred from a battery to a circuit wire and then to a light bulb, where some of it leaves the system. Starting from the battery, which series shows the correct order of energy transformations taking place in this circuit?light and heatchemicalelectricalput them in order Mrs. Lennon has 100/275/50 liability insurance and $50,000 PIP (Personal Injury Protection) insurance. During an ice storm, she hits a fence and bounces into a store front with 11 people inside. Some are hurt and sue her. A passenger in Mrs. Lennons car is also hurt. A) The store front will cost $24,000 to replace. There was $1,450 worth of damage to the fence. What insurance will cover this, and how much will the company pay? B) The passenger in the car had medical bills totaling $20,000. What type of insurance covers this, and how much will the insurance company pay? Solve for e:2e-13+8=135 What is the displacement current between the plates if the separation of the plates is r and they have an area of a? 32 The area of a parallelogram is (32 + sqrt(2)) square feetIf the length of the base is (4 + sqrt(2)) feet, find the height of the parallelogram in simplest radical form Correct errors and grammar in this text I couldn't wear tight clothes because it was a bad things and they could call a meeting of church leaders to punish me, much less could I wear pants, short skirts. , shorts or revealing clothes or wear makeup because all that is sin I think the Christian religion is very little permissive and very strict but would be a lot fortelling everything that the evangelicalreligion forbids in the end to be the daughter of a pastor was not easy and if I had another life I would not like to be one again.Everything was very hard, hate many things that I did not like today my father stopped being a pastor only my mother remains so they no longer forbid me things, although my mother he still tells me to pray when we talk on the phone, but obviously I don't, I always fall asleep in half a sentence. I have communication problems even with my parents because when I was little I wanted to express my feelings when I was angry, sad or complaining to him, my father did not allow it because for him it was as being rude and disrespecting them, I think being a pastor was not easy for them, that had consequences for them as parents and me as a daughter.my experience could help many people to understand them or at least I think so, I also believe that from beginning to end pastors suffer and their children have sequelae in exchange forthe problems of the church, I have a lot of anger with people who think badly of pastors or their children, it is true that there are families who give a lot to talk about, in exchange for that several have amisconception of all pastoralist families.It was fun and melancholic to tell this experience and share a little of my feelings and my life, thanks to you dear reader I hope you liked it. Introducing a vascular catheter directly into a vessel without further advancement past the punctured vessel is called __________ vascular catheterization. What is the measure of < L Why do you think it is so important to Starr to never appear ghetto around white people?