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3 years ago

How to find the scale factor of something

Mathematics

1 answer:

AysviL [449]3 years ago

5 0

Answer:

To find the scale factor, locate two corresponding sides, one on each figure. Write the ratio of one length to the other to find the scale factor from one figure to the other. In this example, the scale factor from the blue figure to the red figure is 1.6 : 3.2, or 1 : 2.

Step-by-step explanation:

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Simplify: –4(x – 5) + 3(a – 7)

Serga [27]

-4 (x - 5) + 3 (a - 7)

First, expand your problem. / Your problem should look like: -4x + 20 + 3a - 21
Second, simplify. / Your problem should look like: -4x + 3a - 1

Answer: -4x + 3a - 1 (C)

8 0

3 years ago

Read 2 more answers

The archway of the main entrance of a university is modeled by the quadratic equation

Scilla [17]

Answer:

B. (1,5) and (5.25, 3.94)

Step-by-step explanation:

The answer is where the 2 equations intersect.

We need to solve the following system of equations:

y = -x^2 + 6x

4y = 21 - x

From the second equation:

x = 21 - 4y

Plug this into the first equation:

y = -(21 - 4y)^2 + 6(21 - 4y)

y = -(441 - 168y + 16y^2)+ 126 - 24y

y = -441 + 168y - 16y^2 + 126 - 24y

16y^2 + y - 168y + 24y + 441 - 126 = 0

16y^2 - 143y + 315 = 0

y = [-(-143) +/- sqrt ((-143)^2 - 4 * 16 * 315)]/ (2*16)

y = 5, 3.938

When y = 5:

x = 21 - 4(5) = 1

When y = 3.938

x = 21 - 4(3.938) = 5.25.

3 0

3 years ago

(1,10), (18.-10) slope

kobusy [5.1K]

Answer:

I think the slope is -20/17 hope this helps

8 0

3 years ago

A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel

-Dominant- [34]

Given:

Capacity of jet plane = 200,000 liters of fuel

Fuel used during flight = 130,000 liters

To find:

The percentage of the fuel capacity it uses on this flight.

Solution:

According to the question, we need to find 130,000 is what percent of 200,000.

$\text{Required percentage}=\dfrac{\text{Fuel used during flight}}{\text{Capacity of jet plane}}\times 100$

$\text{Required percentage}=\dfrac{130000}{200000}\times 100$

$\text{Required percentage}=65$

Therefore, the jet plane uses 65 percent of fuel capacity during flight.

6 0

3 years ago

A custodian plans to repaint some classrooms. He has 5 = gallons of paint. All of

dlinn [17]

Answer: 2 bookcases.

Step-by-step explanation:

Let be "x" the number of bookcases that the custodian will be able to repaint completly with 5 gallons of paint.

According to the data given, the custodian needs 2 gallons of paint to repaint one bookcase. Since all the bookcases are equal, you can set up the following proportion:

$\frac{2}{1}=\frac{5}{x}$

Now you must solve for "x" in order to find its value:

$(x)(\frac{2}{1})=5\\\\2x=5\\\\x=\frac{5}{2}\\\\x=2.5$

Notice that the custodian will be able to repaint 2 bookcases completely, then you can say that:

$x\approx2$

5 0

3 years ago