Explain why the fractions in question number 2 are equivalent?

Answer:

9 guests

Step-by-step explanation:

the first 3 guests are free and anyone after is 7 per guest

well if we divide 42/7 we get 6

and we add the 3 we get 9 guests.

This makes sense due to the fact that the first 3 guests are free and we are paying for everyone else after them. So it's 7 dollars a student therefore, 9 guests.

Answer :-

Explanation :-

As per the provided information in the given question, we have been given that the Length of Rectangle is 11.2 cm . Its Breadth is given as 5.1 cm . And, we have been asked to calculate the Area of Rectangle .

For calculating the Area , we will use the Formula :-

[tex] \bigstar \: \: \: \boxed {\sf { \: Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth \: }} [/tex]

Therefore , by Substituting the given values in the above Formula :-

[tex] \dag \: \: \: \sf {Area \: of \: Rectangle \: = \: Lenght \: \times \: Breadth} [/tex]

[tex] \longmapsto \: \: \: \sf {Area \: of \: Rectangle \: = \: 11.2 \: \times \: 5.1} [/tex]

[tex] \longmapsto \: \: \: \textbf {\textsf {Area \: of \: Rectangle \: = \: 57.12 }} [/tex]

Hence :-

[tex] \underline {\rule {205pt} {4pt}} [/tex]

Additional Information :-

[tex] \begin{gathered} \begin{gathered} \begin{gathered}\begin{gathered}\boxed{\begin{array}{c} \\ \underline{ { \textbf {\textsf \red{ \dag \: \: More \: Formulas \: \: \dag}}}} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Square} = Side \times Side} \\ \\ \\ \footnotesize\bigstar \: \bf{Area \: _{Rectangle} = Lenght \times Breadth} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Triangle} = \frac{1}{2} \times Base \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Parallelogram} = Base \times Height} \\ \\ \\ \footnotesize \bigstar \: \bf{Area \: _{Trapezium} = \frac{1}{2} \times [ \: A + B \: ] \times Height } \\ \\ \\ \footnotesize \bigstar \: \bf {Area \: _{Rhombus} = \frac{1}{2} \times Diagonal \: 1 \times Diagonal \: 2}\end{array}}\end{gathered}\end{gathered} \end{gathered} \end{gathered} [/tex]

[tex] \underline {\rule {205pt} {4pt}} [/tex]

Note :-

The area of the given rectangle.

[tex]a = length \times width[/tex]

[tex]a = 11.2 \times 5.1[/tex]

[tex]a = 57.12 \: {cm}^{2} [/tex]

Therefore, the area of the given rectangle is 57.12 square centimeters.

Answer:

the answer is 8

Step-by-step explanation:

it is 8 because if you 2x2 = 4 then + 4 more equal 8. ( or just count the area )

Answer:

25 :) hope this helps you

:v

Answer:

  period

Step-by-step explanation:

The attached graph shows a period of the function. Its amplitude is 1/4 (vertical distance from centerline to peak). Its period is 4π (horizontal distance from peak to peak). Its frequency is the reciprocal of the period, so would be 1/(4π).

The value 4π is the period of the function.

Answer:

Step-by-step explanation:

Answer:

The answer for the x would be 20.25 ft.

Step-by-step explanation:

Check the underlined writing for the 2nd easier and more efficient method

The area is 9 ft.^2, and area means length*width=area. So, if you were to multiply 4.5*2 that would equal 9, which is the area of the smaller rectangle.

Now use scale factor. If the length of the smaller rectangle is 2, you need to see how many times 2 can fit into 9. 9/2 equals 4.5, then you would multiply 4.5 by 4.5 to get 20.5 to get the width of the rectangle.

If you want to check, put 2/4.5 and 9/20.25 and you both get 0.444....= 4/9

Which means that they both have the same scale

Okay, there is a much easier method I didn't realize, the butterfly method. After you find the length and width of the smaller rectange, you can cross multiply.

2/4.5 = 9/x. (keep the numbers in line, for example both of the lengths stay in the numerator) So 9*4.5 equals 40.5, and 2*x equals 2x. Use basic algebra (divide everything by 2) and you get x=20.25 as well. This solution is much more reliable.

Hope this helps!

Answer:

635

Step-by-step explanation:

Answer:

45+40+45=55+60+90+30+55+35+60+45+75

Step-by-step explanation:

Its 505

answer:40

Step-by-step explanation:

a quarter is 25

a dime is 10

a nickle is 5

25+10+5=40

Answer: 25

Step-by-step explanation:

25 * 25 = 625

Answer:

625

Step-by-step explanation:

25 times 25 equals 625

Answer:

13.5

Step-by-step explanation:

because 18 times 75 equals 1350 then you divide 1350 by 100 and you get 13.5

Answer:

Step-by-step explanation:

First, find the first multiple that can be divisible by 5 and 8:

40 is divisible by 5 and 8.

Second, find the days in April and subtract 7 from the days:

April=30 days.

30-7= 23 days.

Finally, subtract 23 from 40 and find it in the next month, which is May:

40-23=17

Therefore, they will both next visit their mother on the 7th of May.

Answer:

it's 2.9 that's how. I get the qnswer

Answer:

7.2

Step-by-step explanation:

Cos θ= adjacent side÷ hypotenuse

adjacent side= 6

hypotenuse= x

θ=33°

Therefore,

cos 33°=6÷x

cos 33°= 0.8387

0.8387=6÷x

Multiply both sides by X to cancel off the X on the right hand side.

0.8387×x=6

Divide both sides by 0.8387 to subject X and to bring the values to the other side

x=6÷ 0.8387

x= 7.154

X= 7.2

Hope this helps!

Answer:

The cost for selling 100 lunches is 150 dollars.

Step-by-step explanation:

First, consider the equation: y = mx + b
y in this case is the profit in dollars (what' on the y axis) x in this case is the number of lunches sold (x- axis), m is the slope.

How do we calculate the slope of a graph? we take two points from the graph, let's say, (65,45) and (20,-90)

the formula for finding the slope is:

[tex]\frac{rise}{run} = \frac{y2 - y1}{x2-x1} \\\\[/tex]

where (x1, y1) is coordinates of first point in the line

where (x2, y2) is coordinates of second point in the line

[tex]\frac{45-(-90)}{65-20} = 3[/tex]

m = 3

y = 3x + b

now we need to find b. We just insert one point of your choice from the grpah, let's choose (50,0) now plug them in out newfound equation (y = 3x + b)

0 = 3(50) + b

find b using algebra:

0 = 150 + b

b = -150

Yay! we found b, now we have the equation y = 3x - 150

(by the way I just noticed you can find b from the graph, the point that touches the y-axis is b)

now we are told to find the cost for selling 100, we need to plug in 100 instead of x in our equation.

y = 3(100) - 150 = 150

therefore the cost is 150 dollars.

hope this helps, tell me if you misunderstood something.

Answer:

w

Step-by-step explanation:

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

A shoe factory produces 1.81 × 10⁴ pairs of shoes each month.

Estimate the number of pairs of shoes the factory will produce if it maintains that rate for 10 years.

There are 1.2 × 10² months in 10 years.

1.81 ≈ 2 and 1.2 ≈ 1

The number of shoes in 10 years will be

→ (2 × 10⁴)(1 × 10²)

→ 2 × 10⁶

The number of pairs of shoes in the factory is approximately 2 × 10⁶  in 10 years.

More about the multiplication link is given below.

https://brainly.com/question/19943359

Answer:

[D] a/b < d

Step-by-step explanation:

a = -1.25

b = 1

c = 0.5

d = 1.25

Now Solve the statement:

a/d > c

substitute

-1.25/1.25  which is -1

-1 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

c < ab

substitute

0.5 < (-1.25)(1)

0.5 < -1.25

Thus, this is false.

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a > bc

-1.25 > (1)(0.5)

Hence,

-1.25 > 0.5

Thus, this is false

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

a/b < d

-1.25/1 < 1.25

-1.25 < 1.25

Thus, this is true

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Hence, Answer is [D] a/b < d

[RevyBreeze]

Answer:

(y-4) = 2(X+1)

Step-by-step explanation:

The given eqaution is; y = 2x-5.......(i)

Now; the equation is in the form of y= mx+b.

Slope(m1) = 2.

As per the condition of parallel lines, the slope of the 1st equation (m1) = the slope of the 2nd equation (m2).

Therefore, m1= m2= 2

Now, use one point formula for finding the equation of the line which passes through the point.

(y-y1) = m2(x-x1)

~ Put all values.

(y-4) = 2(X+1)

You can simply write up here. But if you want to make it simplified form then, (look below)

~ simplify it.

y = 2x +2+4

The eqaution of the line which is parallel to y = 2x -5 and point (-1,4) is y = 2x + 6.

Answer:

4 pepperoni pizzas

Step-by-step explanation:

3 cheese => 1 pepperoni

12cheese (3x4) => 4 (1x4) pepperoni

Answer:

yeh

Step-by-step explanation:

1 gallons = 4 quarts

4,8,20,28

quarts= 2 pints

1,3,6,16

1 pint= 2 cups

2,6,5,18

Answer:

c 7-x

Step-by-step explanation:

Answer:

28+2x

Step-by-step explanation:

simplificar la expresión.

Answer:

I solved the first question. Hope this helped you and can solve other by yourself.

Answer:

at X axis, Y=0 and at Y axis, X=0

accordingly substitute the value in the equation and find coordinates

Answer:

The intersection with the x-axis is the point with coordinates (4, 0)

The intersection with the y-axis is the point with coordinates (0, 9.6)

Step-by-step explanation:

The line intercepts (crosses) the x-axis when y = 0.

Therefore, substitute y = 0 into the equation and solve for x:

⇒ −2.4x + 9.6 = 0

⇒ −2.4x = -9.6

⇒ x = -9.6 ÷ −2.4

⇒ x = 4

So, the intersection with the x-axis is the point with coordinates (4, 0)

The line intercepts (crosses) the y-axis when x = 0.

Therefore, substitute x = 0 into the equation and solve for y:

⇒ y = −2.4(0) + 9.6

⇒ y = 9.6

So, the intersection with the y-axis is the point with coordinates (0, 9.6)

Answer:

10.7

Step-by-step explanation:

the tenth place is the first number that comes after the decimal so, that is the number you are rounding. We take a look following that number and it it is equal to or greater than 5, (which it is), we round up one number.

Answer:

10.7

Step-by-step explanation:

Any number between 1-4 rounds down and 5-9 rounds up, so here you will round up. I've included the decimal places as well below. The number after the decimal point is the tenth's place.

Good luck! Hope this helps

11% of the total are left handed

so if we take random 100 students then 11% will be applicable to it also

so :-

[tex] \frac{11}{100} \times 100 \\ 11students[/tex]

well, we know she paid a total after tax of $68.37, we also know that each game had a tax of $1.29, so 3 games that'll be 3 * 1.29 = 3.87.

so if we take out the tax from 68.37, that'll be 68.37 - 3.87 = 65 bucks.

we know each game cost the same amount so 65 ÷ 3 ≈ 21.67 before tax.

Tiana bought 3 video games at a cost of $22.36 each, before tax. The total amount paid after tax was $68.37.

Given that,

Tiana bought 3 video games.

The cost of each video game was the same.

The tax on each video game was $1.29.

Tiana paid a total of $68.37 after tax.

To find the price of each video game before tax,

Start by subtracting the total tax from the total amount paid.

Tiana paid a total of $68.37 after tax and the tax on each video game was $1.29.

So, subtract the tax from the total amount to get the price before tax.

$68.37 - $1.29 = $67.08.

Since Tiana bought 3 video games,

Divide the total price before tax by 3 to find the price of each video game.

$67.08 ÷ 3 = $22.36.

Hence, the price of each video game before tax was $22.36.

To learn more about subtraction visit:

https://brainly.com/question/17301989

#SPJ3

Answer:

12

Step-by-step explanation:

the ratio of the 2 numbers = 3 : 4 = 3x : 4x ( x is a multiplier ) , then

3(3x) + 2(4x) = 68 , that is

9x + 8x = 68

17x = 68 ( divide both sides by 17 )

x = 4

smaller number = 3x = 3 × 4 = 12

Answer:

Step-by-step explanation:

First, we have to find 14% of 56

14% of 56 is = 56 x 14/100

                  = 7.84

Now we have to increase the number 56 by 14%, which means we have to add 14% of 56 (7.84) to the given number (56)  

56 + (14% of 56)

= 56 + 7.84

= £63.84