The length of the ears on the shadow puppet is 3 inches. The length of the ears on the shadow is 4 inches. What is the scale factor?

Answers

Answer 1

the scale factor is the number u multiply by the first image to get to the second image.

so 3 times what = 4
3x = 4
x = 4/3 (or 1 1/3) <== this is ur scale factor

Answer 2

In linear equation, 4/3 is the scale factor.

What are instances of linear equations?Ax+By=C represents a two-variable linear equation in its standard form. A standard form linear equation is, for instance, 2x+3y=5.Finding both intercepts of an equation in this form is rather simple (x and y).When resolving systems of two linear equations, this form is also incredibly helpful.A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

given,

The length of the ears on the shadow puppet = 3 inches

The length of the ears on the shadow = 4 inches.

so according to question we apply the formula of scale factor ,

scale factor = length of ears on the shadow/length of ears on the shadow

scale factor = 4/3

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Related Questions

Write an expression that shows how to multiply 7 x 256 using the expanded form and the Distributive Property.

Answers

7 x200+50+6 good luck

To multiply any number using expanded form and Distributive property, we need two steps:
1. Write the greater factor in expanded form, and
2. Record partial products by using Distributive property.

Step 1.
7 x 256 = 7 x (200 + 50 + 6)

Step 2.
7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

Hence, the complete expression should look like:
7 x 256 = 7 x (200 + 50 + 6) = 7 x 200 + 7 x 50 + 7 x 6

A skydiver jumps out of an airplane. After 0.8 seconds, she has fallen 100 feet. After 3.1 seconds, she has fallen 500 feet. Emtiaz says that the skydiver should fall about 187.5 feet in 1.5 seconds. Is his answer reasonable? Explain.

Answers

u = the initial vertical velocity of the skydiver.
g = 32 ft/s², acceleration due to gravity.

Ignore air resistance.
The distance fallen after t seconds is
s = (u ft/s)*(t s) + (1/2)*(32 ft/s²)*(t s)² = ut + 16t²

When t = 0.8 s,
s = 0.8u + 16*0.8² = 0.8u + 10.24
Because s = 100 ft, therefore
u = (100 - 10.24)/0.8 = 112.2 ft/s

When t = 3.1 s,
s = 112.2*3.1 + 16*3.1² = 501.6 ft
This compares favorably with 500 ft.

When t = 1.5 s, then
s = 112.2*1.5 + 16*1.5² = 204.3 ft
This disagrees with the specified value of 187.5 ft

Answer:
The answer is not reasonable.
Reason:
The answer does not obey the equation
s = u + (1/2)gt²

Gas is $2.09 per gallon; how much will it cost to get 10 gallons of gas?

$20.90

$12.09

$7.91

$4.10

Answers

It's 20.90 because you just move the decimal point back one when multiplying by 10

Per gallon means that $2.09 is the price for 1 gallon.

$2.09 * 10 gallons= $20.90
Remember that to multiply by 10, you can just move the decimal one place value to the left.

Final answer: $20.90

10 questions very simple. Lots of points.

1 Simplify the given equation.

5x + 2(x - 3) = -2(x - 1)

a. 7x - 6 = -2x + 2
b. 7x - 3 = -2x - 1

2 Solve for x.

3(x + 2) = 12

a. x = 2
b. x = 3 1/3
c. x = 4 2/3

3 Solve for x.

7(x + 1) = 21

a. x = 2
b. x = 20/7
c. x = 4

4 Solve for x.

4(x + 2) = 48

a. x = 7 1/2
b. x = 10
c. x = 14

5 Solve for x.

13(x - 3) = 39

a. x = 1
b. x = 4
c. x = 6

6 Solve for x.

5(x + 1) = 4(x + 8)

a. x = 7
b. x = 27
c. x = 37

7 Solve for x.

7(x + 2) = 6(x + 5)

a. x = -16
b. x = 16
c. x = 44

8 Solve for x.

3(x + 2) + 4(x - 5) = 10

a. x = 36/7
b. x = 24/7
c. x = 16/7

9 Solve for x.

7(x - 3) + 3(4 - x) = -8

a. x = 1/4
b. x = 25/10
c. x = -41/10

10 Solve for x.

7(3 - x) = 8(4 - 2x)

a. x = -5/9
b. x = 11/23
c. x = 11/9

Answers

2. a
3. a
4. b
5. c
6. b
7. b
8. b
9. a
10. c
hope this helps

see attached picture for the answers:

write the addition sentence illustrated by each figure

Answers

31. The answer is -5+8=3
32. The answer is -2+9=7
33. -11+9=-2
34. -6+(-3)=-9

Karl participated in a two-day charity walk. His parents donated money for each mile he walked. Karl walked 3 1/4 miles on the first day and 5 1/2 miles on the second day. His parents donated $175. How much money did his parents pay for each mile

Answers

This is quite simple. We will first add the amount of miles walked together.
3.25+5.5=8.75
Then we will divide 175 by the number of miles walked which in this case is 8.75.
Then we get 20 which is the amount of money that his parents donated for every mile that he walked.

At a car repair shop, the cost of repair depends on the time the mechanic works. Which of the following shows this idea in function notation?

Pleas show all work.

A. number of cars (time)

B. time(cost)

C. time(number of cars)

D. cost(time)

Answers

The correct answer would be D.
The mechanic would charge x amount per hour,
so it would look like:
x(time)
So lets say every hour was $5 and he worked on it for 5 hours, then it would be
$5(5)
hope this helps!

The answer is D

i hope this helped and have a wonderful day!!

the temperature on monday was -1.5°C. The temperature on Tuesday was 2.6°C less than the temperature on Monday.what was the temperature on Tuesday?

Answers

Our starting point is -1.5 and we need to decrease from there by 2.6. This can be written in math as:
[tex]-1.5+(-2.6)[/tex]

So then the temperature on Tuesday is -4.1.

Solve for x. The triangles in each pair are similar.

Answers

(134x+37):846=735:378Than you need to sole the equivalent

What’s 36/1000 (fraction) Simplified
What’s 506/1000 simplified (fraction)

Answers

36/1000 simplified in fraction form is 9/250.

506/1000 simplified in fraction form is 253/500.

1. 9/250
2. 253/500
These are the simplified versions of the fractions.

Two families are sharing the cost of vacation home for one week. The cost to rent the home is $3,513 plus a $351.30 deposit. What is each family’s fair share of the home plus deposit?

$1756.50

$1128.10

$1932.15
.

$1432.15

Answers

The answer is $1932.15

3,513+351.30=3864.30

3864.30÷2=1932.15

Hope this helps!

The answer is $1932.15

In the diagram shown, ∠2 measures 77 degrees. What is the measure of ∠4?

Answers

103 degrees, hope this helps

103 degrees i put it and go it right woohoo 4 points

Each small square on the grid is 1 ft².

Which estimate best describes the area of this figure?

25 ft²
35 ft²
50 ft²
65 ft²

Answers

the answer would be 50ft

Answer:

50 ft²

Step-by-step explanation:

As you can see the polygon on the grid is not a regular polygon, so to calculate the area would be very complicated without having the right tools, what we can doo is to draw a squre that covers the whole height but not the total length, that way we can take a close estimate of the area, the closest square that can be formed would be a 6x9 square, and the estimated area would be 54, that would be the maximun area, so the answer would be 50 squared feet.

What is 15% higher than 60?

A.9
B.24
C.69
D.75

Answers

C. 69
.15 x 60 = 9 + 60 = 69

25=2y-5 solve the equation for y

Answers

25 = 2y - 5
+5 +5
30 = 2y
/2 /2
y=15

A softball is thrown straight up, reaching a maximum height of 20 meters, what is the ball's approximate vertical speed when it hits the ground?

Answers

Velocity is the rate of change of distance over time.

The ball's approximate vertical speed when it hits the ground is 19.8m/s

The maximum height of an object, thrown up is calculated as:

[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]

Where:

[tex]\mathbf{h_{max} = 20m}[/tex] --- the maximum height

[tex]\mathbf{v = ??}[/tex] --- final velocity

[tex]\mathbf{g = 9.8ms^{-2}}[/tex] --- acceleration due to gravity

So, we have:

[tex]\mathbf{h_{max} = \frac{v^2}{2g}}[/tex]

[tex]\mathbf{20 = \frac{v^2}{2 \times 9.8}}[/tex]

Solve for v^2

[tex]\mathbf{v^2 = 2 \times 9.8 \times 20}[/tex]

[tex]\mathbf{v^2 = 392}[/tex]

Take square roots of both sides

[tex]\mathbf{v = 19.8ms^{-1}}[/tex]

Hence, the ball's approximate vertical speed when it hits the ground is 19.8m/s

Answers

4:4

Alice and Cori have the same amount of cookies

which side correspond to TA

Answers

OD corresponds with TA

Answer:

The correct option is 3.

Step-by-step explanation:

In ΔACT and ΔDGO.

[tex]\angle A=\angle D[/tex] (Given)

[tex]\angle AC=\angle DG[/tex] (Given)

[tex]\angle C=\angle G[/tex] (Given)

By ASA property of congruent triangles.

[tex]\triangle ACT\cong \triangle DGO[/tex]

The congruent part of congruent triangles are congruent.

[tex]TA=OD[/tex] (CPCTC)

The side TA is corresponding to OD.

Therefore the correct option is 3.

the local bakery uses 1.75 cups of flour in each batch of cookies. The bakery used 5.25 cups this morning. How many batches of cookies did the barkey make?

Answers

divide total by amount needed for each batch

5.25 / 1.75 = 3

they made 3 batches of cookies

They made 3 batches because 5.25 divided by 1.75 equals 3

whats 603X4 estimate go math

Answers

Round 603 to 600.
Multiply 600 and 4.
=2400

603 X 4≈2400

Round 603 to 600
600 x 4 = 2,400

if 2/3 of the girls in class have brown eyes and 1/4 of the girls have blue eyes, what fraction of the girls in class have neither blue or brown eyes.

Answers

2/3 + 1/4. You start by converting the fractions so that they have a common denominator.
8/12 + 3/12 = 11/12
11/12 of the girls have blue and brown eyes. That leaves 1/12 of the girls who have neither blue nor brown eyes.

1-(2/3+1/4)=
1-(8/12+3/12)
1-11/12
1/12

1/12 of girls the class has neither blue nor brown eyes.

You have to add the two fractions (2/3 and 1/4) together to get the fraction of the girls in the class that have blue or brown eyes and subtract that by one to get the fraction of the girls in the class that have neither brown nor blue eyes.

Hope this helps :)

Charlie made four out of 23 free-throw shots. What percentage of shots does he make? Round to the nearest whole number

Answers

He makes 4 shots.

He attempts a total of 23 shots.

His accuracy is 4/23 * 100, or 400/23 %.

He makes 17.39% of his shots.

Alicia and Elena each earned $135 doing telephone surveys. Alicia did her surveys in 12 hours. It took Elena 75% as long to do her surveys. How much money did Elena earn per hour? A. $7 B. $11 C. $12 D. $15

Answers

Both Alicia and Elena earned #135 each.

Alicia worked for 12 hours.
Elena worked for 75% of 12 hours = 0.75*12 = 9 hours.
Elena's earning rate is
($135)/(9 hours) = $15 per hour.

Answer: D. $15

Answer:

d 15

Easy. As that

write an indirect proof..if two angles are supplementary, than they both cannot be obtuse angles.

Answers

Let's assume that both angles are, in fact, obtuse supplements. We know that supplementary angles must add up to 180°. We also know by definition that obtuse angles are greater than 90°. If we were to take the two supplementary, obtuse angles, ∡A=90+x and ∡B=90+y, with x and y equaling positive real numbers, then we should be able to say that 180=m∡A+mB, or 180=90+x+90+y. By simplifying we get that 180=180+x+y. Simplify further and you get that 0=x+y. If we define x in terms of y, then x= -y. If we define y in terms of x, then y= -x. Because either x or y must be negative to make this statement true, one of the angle measures must be less than 90. If one of the angles must be less than 90 while the other is greater than 90, then one angle MUST be acute if the other is obtuse in order for them to be supplements of each other.

Answer:

They cannot. They have to be obtuse and acute.

A polynomial expression is shown below.
(mx³ + 3)(2x² + 5x + 2) - (8x⁵ + 20x⁴)
The expression is simplified to 8x³ + 6x² + 15x + 6. What is the value of m?

Answers

the polynomial is (mx^3+3)(2x²+5x+2)-(8x^5 +20x^4)
if it is reduced to 8x^3+6x²+15x+6, so we can find the value of m

(mx^3+3)(2x²+5x+2)-(8x^5+20x^4) = 8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3+6x²+15x+6-8x^5-20x^4=8x^3+6x²+15x+6
2mx^5+5mx^4+2mx^3=8x^3+6x²+15x+6-6x²-15x-6+ 8x^5+20x^4
= 8x^5+20x^4+8x^3= 4(2x^5+5x^4+2x^3)
finally

m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3), and after simplification

C: m=4

4. When the expression is factored x²-3x-18 completely,

one of its factor is x-6
x²-3x-18=0
D= 9-4(-18)= 81, sqrtD=9 x=3-9/2= -6/2= -3, and x=3+9 / 2= 6
so x²-3x-18= (x-6)(x+6)

The value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.

What is the simplified form of a equation?

Simplified form of an equation is the simplest way of expression the equation, which is obtained by applying the required operations of mathematics.

A polynomial expression is shown below.

[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)[/tex]

The expression is simplified to the following expression,

[tex]8x^3 + 6x^2 + 15x + 6[/tex]

As the equation is a simplified expression of the given polynomial. Thus, both the equation are same.

[tex](mx^3 + 3)(2x^2 + 5x + 2) - (8x^5 + 20x^4)=8x^3 + 6x^2 + 15x + 6[/tex]

Open the brackets and simplify it further,

[tex]2mx^5+5mx^4+2mx^3+6x^2+15x+6-8x^5-20x^4=8x^3 + 6x^2 + 15x + 6\\2mx^5+5mx^4+2mx^3=8x^3+6x^2+15x+6-6x^2-15x-6+ 8x^5+20x^4\\m(2x^5+5x^4+2x^3)= 8x^5+20x^4+8x^3 \\m(2x^5+5x^4+2x^3)=4(2x^5+5x^4+2x^3)[/tex]

On comparing both side of the equation, the value of m we get is,

[tex]m=4[/tex]

Thus, the value of the m in the polynomial expression for which the simplified expression is 8x³ + 6x² + 15x + 6 is 4.

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Which point represents the fraction 3/6???

A
B
C
or
D
????
PLEASE HELP

Answers

c. because 3/6 is equal to 1/2.
c is 1/2 of 1

Final answer:

The point that represents the fraction 3/6 is point B.

Explanation:

The point that represents the fraction 3/6 is point B.

When we simplify the fraction 3/6, we obtain 1/2.

To represent a fraction on a number line, we divide the line segment between 0 and 1 into equal parts. Since the denominator is 2, we divide the segment into 2 equal parts. The numerator, 1, represents the number of parts we need to take from the line (starting from 0) to reach the fraction. Thus, we locate point B on the number line to represent the fraction 3/6.

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Two cars start at the same time, but travel in opposite directions. One car's average speed is 30 miles per hour (mph). At the end of 4 hours, the two cars are 400 miles apart. Find the average speed in mph of the other car.

Answers

Final answer:

The average speed of the second car is calculated by subtracting the distance traveled by the first car from the total distance after both cars have traveled in opposite directions for the same amount of time. The second car's average speed is found to be 70 mph.

Explanation:

To find the average speed of the second car, we first need to establish the total distance covered by both cars. Since they are moving in opposite directions, we can add their distances together to determine the total distance.

Let's designate the distance the first car travels as D1 and the distance the second car travels as D2. The average speed of the first car is given as 30 mph, and both cars travel for 4 hours. Therefore, D1 can be calculated as follows:

D1 = average speed of first car × time = 30 mph × 4 h = 120 miles

Since we know that the combined distance D1 + D2 is 400 miles, we can find D2 by subtracting D1 from the total distance:

D2 = total distance - D1 = 400 miles - 120 miles = 280 miles

Now, to find the average speed of the second car, we divide D2 by the time, which is 4 hours:

Average speed of the second car = D2 / time = 280 miles / 4 h = 70 mph

Therefore, the average speed of the second car is 70 mph.

Ivan has a piece of lumber 104 inches long. He is sawing it into 12-inch lengths to make fence posts. He says he can get about 9 fence posts out of the board.

Answers

Assuming the question is what Ivan is saying possible the answer is no based on multiplication. He could get at most 8 12-inch fence posts.

12 x 8 = 96 leaving him 8 more inches of board.
12 x 9 = 108 meaning he would need 4 more inches of lumber to make his last fence post uniform with the rest.

Whitch best describes the resulting three-dimensional figure !?

Answers

D. A cylinder with a base radius of 14

Answer:

The statement which best describes the resulting three-dimensional figure is:

A cylinder with a base radius of 14 cm.Step-by-step explanation:

We know that when a rectangle is rotated about a line then the resulting figure so obtained is a cylinder.

Hence, the three dimensional figure will be a cylinder.

Also, the breadth of the rectangle will be the radius of the cylinder.

Here the perimeter of the rectangle is: 76 cm.

Also the length of the rectangle is: 24 cm.

Let b be the breadth of the rectangle.

We know that the perimeter of rectangle is given by the formula:

[tex]Perimeter=2(l+b)[/tex]

where l is the length of the rectangle and b is the breadth of the rectangle.

Here we have: l=24 cm

Hence,

[tex]76=2(24+b)\\\\i.e.\\\\24+b=\dfrac{76}{2}\\\\i.e.\\\\24+b=38\\\\i.e.\\\\b=38-24\\\\i.e.\\\\b=14\ cm[/tex]

Hence, the radius of the cylinder is: 14 cm.

Jennifer has 3 1/2 cups of jelly beans to share with 7 friends how many cups does each person get

Answers

divide 3 1/2 by 7= 1/2 a cup per person

The jelly beans each person get
=3 1/2 ÷7
=1/2
each person gets 1/2 cup

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