Simplify the expression.

–6.5(–4.9)

Answer:

she walked 6 miles.

Step-by-step explanation:

We know that Ruth walks at a speed of 4 mph and it took her 1.5 hours to walk from her home to the library (from 9 to 10.30).

We can solve this using a rule of three:

If she walks 4 miles in 1 hour, how many hours did she walk in 1.5 hours?

1 hour           4 miles

1.5 hours       x miles

Solving for x we get:

[tex]x=\frac{1.5(4)}{1} =6[/tex] miles

Thus, she walked a distance of 6 miles

The distance between her home and the library is the number of meters between them.

The distance walked is 6 m

The speed is given as:

[tex]\mathbf{Speed = 4mph}[/tex]

The time spent walking is calculated as:

[tex]\mathbf{Time = 10:30am - 9:00am}[/tex]

[tex]\mathbf{Time = 1.5\ hrs}[/tex]

So, the distance is calculated as:

[tex]\mathbf{Distance = Speed \times Time}[/tex]

Substitute known values

[tex]\mathbf{Distance = 4mph \times 1.5hrs}[/tex]

[tex]\mathbf{Distance = 6m}[/tex]

Hence, the distance walked is 6 m

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Answer:

4th one

Step-by-step explanation:

Step-by-step explanation:

An algebraic expression haa atleast one variable and operator sign such as (+,-,×,÷)

According to the question, an algebraic expression should be made from difference of 'a' and 'b'

so, the expression is (a - b) or a - b.

Hope it helps!!!!

Answer:

AC = 20°

Step-by-step explanation:

180° (total angle amount of a triangle) - 70° + 90° (right angle) = ac

AC = 20°

Hope this helps!

Answer:

they are 16 and 4

Step-by-step explanation:

We can call the numbers x and y and we can write:

x - y = 12

x + y = 20

Adding these equations gives us 2x = 32 which means x = 16 and substituting this value into the first equation gives us y = 4.

Answer:

The numbers are 16 and 4

Step-by-step explanation:

Let the two numbers be x and y

x-y = 12

x+y = 20

Add the two equations together

x-y = 12

x+y = 20

-------------------

2x = 32

Divide by 2

2x/2 =32/2

x = 16

Now find y

x+y =20

16+y =20

Subtract 16

y = 20-16

y = 4

Answer:

The tower is 73.4 m tall

Step-by-step explanation:

The height of the pole = 2.5 m

The shadow cast by the pole = 1.72 m

Shadow cast by tower = 50.5 m

To find the height of the tower, we proceed by finding the angle of elevation, θ, of the light source casting the shadows as follows;

[tex]Tan\theta =\dfrac{Opposite \ side \ to\ angle \ of \ elevation}{Adjacent\ side \ to\ angle \ of \ elevation} = \dfrac{Height \ of \ pole }{Length \ of \ shadow} =\dfrac{2.5 }{1.72}[/tex]

[tex]\theta = tan ^{-1} \left (\dfrac{2.5 }{1.72} \right) = 55.47 ^{\circ}[/tex]

The same tanθ gives;

[tex]Tan\theta = \dfrac{Height \ of \ tower}{Length \ of \ tower \ shadow} =\dfrac{Height \ of \ tower }{50.5} = \dfrac{2.5}{1.72}[/tex]

Which gives;

[tex]{Height \ of \ tower } = {50.5} \times \dfrac{2.5}{1.72} = 73.4 \ m[/tex]

Answer:

C= 3g

Step-by-step explanation:

Hey there! I'm happy to help!

There are 31 days in March, so there are 11 days left in March. We add this to the 20 days in April, giving us 31 total days this interest is compounded.

We could calculate the amount compounded each day for 31 total days, but that would take a long time. Instead, there is a formula we can use to calculate compound interest instead.

[tex]Total= P(1+i)^n\\\\P=Principal Amount\\i=interest rate\\\\n=number of times compounded[/tex]

So, let's plug in those numbers! Remember to convert the percent to a decimal so it works in the equation!

[tex]Total=1000(1+0.055)^3^1\\Total=1000(5.258068609)\\Total=5258.068609[/tex]

Now, we subtract the initial amount just to see how much interest was earned.

5258.068609-1000=4258.07 (rounded to nearest cent).

Therefore, the money will have earned $4,258.07 by April 20.

Have a wonderful day!

Answer:

( x+3) ^2 + ( y-4) ^2 = 9

Step-by-step explanation:

The equation of a circle can be written as

( x-h) ^2 + ( y-k) ^2 = r^2

Where ( h,k) is the center and r is the radius

( x--3) ^2 + ( y-4) ^2 = 3^2

( x+3) ^2 + ( y-4) ^2 = 9

Answer:

0.5333333333 or 0.53 when simplified.

Step-by-step explanation:

8/15 is simply 8÷15

15 into 8 is not possible so you annex a zero and write a decimal point.The 8 now becomes 80. We now say 80÷15,the answer is 5 because 15x5=75.The remainder is five.We annex another zero and it becomes 50,50÷15=3

I hope this helps.

Step-by-step explanation:

Keeping,  one angle FDE, many triangles are possible since length of no segment is fixed and only one angle is fixed.

At many instances, triangle ABC and DEF have same angle measurements. Referring to the image attached here.

As point G moved on the ray EF, many triangles with same angle measurements as of ABC can be formed.

Answer:

Since no segment length is fixed and only one angle is fixed, multiple triangles are possible while maintaining one angle FDE. Triangles ABC and DEF frequently have the same measured angles. referring to the picture that is attached. Numerous triangles with the same angle measurements as ABC can be constructed when point G moves along ray EF.

Step-by-step explanation:

Answer:

86

Step-by-step explanation:

We can set the first digit as (10x+y)

We can interchange it to be (10y+x)

X is the second digit and Y is the first.

1) (10x+y) +(10y+x) =154

2) 11x+11y=154

3) 11(x+y) =154

4) x+y=14

5) x+x+2=14

6) 2x=12

7) x=6

8) y=6+2=8 , so y =8

Answer:

9 and 23

Step-by-step explanation:

Let x be smaller length in inches.

x+3x-4=32

4x=36

x=9

9*3-4=23

So they're 9 and 23 inches long.

The lengths of the two parts of the pipe are 9 and 23 inches long.

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let x be the smaller length in inches.

x + 3x - 4 = 32

4x = 36

x  =9

Now substitute;

9*3 - 4 = 23

Hence, the lengths of the two parts of the pipe are 9 and 23 inches long.

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Answer:

366 minute

Step-by-step explanation:

first divide 15000 by 41 since there are 41 drops per minute and you get 365.85 so then you round it and get 366

Answer:

(-7/9, -4/9)

Step-by-step explanation:

i used this formula \left(\frac{m\cdot x_{2}+n\cdot x_{1}}{m+n},\frac{m\cdot y_{2}+n\cdot y_{1}}{m+n}\right) in the desmos calculator and this is the answer i got GL

Hope do will on what you are doing :)

If you want you can give me brainliest, it helps me a lot

have a good day :)

Answer:

I got (1,-4) on my Khan

Step-by-step explanation:

Answer:

C. 16π

Step-by-step explanation:

Well we need to find the area of the top circle which has a radius of 4cm.

π(4)^2

16π in terms of pi

Thus,

the answer is C. 16π.

Hope this helps :)

Answer: 180

Step-by-step explanation:

Let the tons of ice the ship was carrying when it set sail be y.

We are told that one third of the original cargo was lost because it had melted on the voyage and that it arrived in Calcutta with 120 tons remaining of its cargo of ice.

This means that (1 - 1/3 = 2/3) remained which was the 120 tons remaining. This implies that:

2/3 × y = 120

2y/3 = 120

2y = 120 × 3

2y = 360

y = 360/2

y = 180

The ship was carrying 180 tons of ice when it set sail

Answer:

2x - 3x -6y - 5y +35x

Step-by-step explanation:

-3 multiplied by x is -3x

-3 multiplied by +2y is -6y

-5 multiplied by y is -5y

-5 multiplied by -7x is +35x

2x remains the same.

Answer:

c. 2x – 3x – 6y – 5y + 35x

Step-by-step explanation:

edge 2021

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Answer:

[tex]f(5)=17[/tex]

Step-by-step explanation:

[tex]f(x)=3x+2[/tex]

[tex]f(5)=3(5)+2[/tex]

[tex]f(5)=15+2[/tex]

[tex]f(5)=17[/tex]

Answer:

17

Step-by-step explanation:

f(x) = 3x + 2

f(5) = 3(5)+ 2

f(5) = 15 + 2

f(5) = 17

a) The population is all of the flights belonging to the particular airline. It's not all flights in general because the airline does not have control over a rival company's flight schedule.

------------------

b) The sample is the 5 airlines the company selected. Ideally the sample should represent the population as much as possible. The larger the sample, the more representative the sample is.

------------------

c) No, the sample is likely not representative because one day of flight does not represent the entire lifetime of all flights done so far for that company. This particular day could have been a very good day with good weather, which may explain why the 5 flights were all on time.

------------------

d) It would be better for the company to select the days at random and sample all of the flights for those particular days chosen. This is a cluster sample. Each cluster is a day. Also, I think more flights should be sampled. Five flights does not seem like enough.

Answer:

(0,-7)

Step-by-step explanation:

If nay point is form (x,y)

x is abscissa can be also called x axis coordinate

y is ordinate can be also called y axis coordinate

ordiantes are points lying on y axis.

For any point lying on y axis, its x-axis coordinate will be 0

given that ordinate is -7. it means that value of y coordinate is -7

Thus,  coordinates of the point is (0,-7)

This question is incomplete. Please find attached to this solved question, the diagram required to solve this question.

Answer:

11 units

Step-by-step explanation:

The shaded portion of the rectangle forms the shape of a trapezium

The area of a trapezium = 1/2(a + b)h

From the diagram, we can see than x = b

a = 7 units

b = 7 units

Area of the trapezium = Area of the shaded portion = 63 square units

A = 1/2(a + b)h

63 = 1/2(7 + b)7

63 = 1/2(49 + 7b)

63 × 2 = 49 + 7b

126 - 49 = 7b

7b = 77

b = 77/7

b = 11 units

Since x = b, x = 11 units

The value of x is 11

Start by calculating the area (A) of the trapezoid using

[tex]A= 0.5 * (a + b)h[/tex]

Using the parameters from the complete question, we have:

[tex]63 = 0.5 * (7 + x) * 7[/tex]

Multiply both sides by 2

[tex]126 = (7 + x) * 7[/tex]

Divide both sides by 7

[tex]18 = 7 + x[/tex]

Subtract 7 from both sides

[tex]x = 11[/tex]

Hence, the value of x is 11

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Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

Answer:

$600

Step-by-step explanation:

1800/300 = 6

6 x 100 = $600

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            Hi my lil bunny!

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It looks lilke one of those old'n day Juice makers

2, 3 , and 4 would be the part im talking about.

You can write : I seleted the story called Old In Day Juice Makers

( I don't know about the paragraph, sorry)

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Hope this helped you.

Could you maybe give brainliest..?

❀*May*❀

[tex]\sqrt{3}x^2+10x+7\sqrt{3}=0\\\\\sqrt3(x^2+\dfrac{10x}{\sqrt{3}}+7)=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+7=0\\\\x^2+\dfrac{10x}{\sqrt{3}}+\dfrac{25}{3}-\dfrac{25}{3} +7=0\\\\(x+\dfrac{5}{\sqrt{3}})^2 = \dfrac{4}{3}\\\\|x+\dfrac{5}{\sqrt{3}}| = \dfrac{2}{\sqrt{3}}\\\\x_1 = \dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = -\dfrac{3}{\sqrt{3}} = -\sqrt{3}\\\\x_2 = -\dfrac{2}{\sqrt{3}}-\dfrac{5}{\sqrt{3}} = \dfrac{-7}{\sqrt{3}} = -\dfrac{-7\sqrt{3}}{3}[/tex]

Answer:

Step-by-step explanation:

P (m) = a (m + 1) + b (m + 1) - c (m + 1)

P (m) = (a + b - c) (m + 1)

There are 2 prime factors

Answer:

64π units²

Step-by-step explanation:

The area (A) of a circle is calculated as

A = πr² ( r is the radius )

   = π × 8²

   = 64π units²

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

A) 22°

∡DBG = (360° - BD - BG)/2

= (360° - 170° - 146°)/2

= 44°/2

= 22°

Answer:

Step-by-step explanation:

The sides of the base are each 5 inches. We see 4 right angles so that we are dealing with a square.

The triangles look to be isosceles. In any event there are 4 of them. So the answer is the 3rd one down.

Answer:

C

Step-by-step explanation: