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2 years ago

If a scale is represented by a ratio less than 1, what do we know about the actual object? What about a ratio greater than 1?

1 answer:

8 0

If a scale is represented by a ratio less than 1, we know that the actual object is being reduced. A scale factor of less than 1 means that there is reduction. Reduction is the decrease in the dimension of an object by a constant factor. This scaling results to an image that is the same shape but proportionally smaller than the actual object. The ratio of <span>greater than 1 on the other hand, represents an enlargement. This means that the actual object is actually bigger than the representation. Enlargement is the increase in the dimension of an object by a constant factor.</span>

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Christopher buys 120 hot dog buns for a picnic. He buys two different brands of hot dog buns. Brand X has 12 hot dog buns in a p

lianna [129]

A system of equations that can be used to find the number of packages of Brand X hot dog buns and Brand Y hot dog buns that Christopher buys is:

12x + 8y = 120

4.5x + 3.5y = 49.50.

The number of packages of Brand X bought is 4 and the number of packages of Brand Y bought is 9

The following equations can be derived from the question

12x + 8y = 120 equation 1

4.5x + 3.5y = 49.50 equation 2

x represents the number of packages of Brand X

y represents the number of packages of Brand Y

The elimination method would be used to determine the values of x and y

Multiply equation 1 by 4.5 and equation 2 by 12

54x + 36y = 540 equation 3

54x + 42y = 594 equation 4

Subtract equation 3 from 4

6y = 54

Divide both sides of the equation by 6

y = 9

Substitute for y in equation 1

12x + 8(9) = 120

12x + 72 = 120

12x = 48

x = 4

To learn more about simultaneous equations, please check: brainly.com/question/23589883?referrer=searchResults

6 0

3 years ago

Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of π (no approximations).

masya89 [10]

Answer:

$40\pi \ m^{2}$

Step-by-step explanation:

we know that

The area of a circle is equal to

$A=\pi r^{2}$

In this problem we have

$r=10\ m$

Substitute and find the area

$A=\pi (10)^{2}=100 \pi\ m^{2}$

Remember that

$360\°$ subtends the area of complete circle

by proportion

Find the area of the shaded regions

The central angle of the shaded regions is equal to $2*72\°=144\°$

$\frac{100\pi }{360} \frac{m^{2}}{degrees} =\frac{x }{144} \frac{m^{2}}{degrees} \\ \\x=144*100\pi /360\\ \\ x=40\pi \ m^{2}$

6 0

2 years ago

What is the slope of the line y = 3?

CaHeK987 [17]

The slope would be 0. Because the line would be flat if all of the y values equal 3, that means the slope = 0. If now x=9 or anything like that, that would be undefined,

I hope this helped! If it does then please thank, rate, and give brainliest answer!

4 0

3 years ago

Read 2 more answers

Alaina’s sugar cookie recipe calls for 21 4 cups of flour per batch. If she wants to make 2 3 a batch of cookies, how much flour

Over [174]

"Alaina’s sugar cookie recipe calls for 2 1/4

cups of flour per batch. If she wants to make 2/3

a batch of cookies, how much flour should she use?"

1 1/2 Cups, if she wants to make less than the original recipe, she would need less flour, you have to divide.

8 0

2 years ago

Read 2 more answers