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3 years ago

Which ordered pair would form a proportional relationship with the point graphed below

Mathematics

2 answers:

butalik [34]3 years ago

8 0

Your answer should be b

mr_godi [17]3 years ago

6 0

Answer:

(15,-30) when y=-2x

Step-by-step explanation:

As you can see in the point in the graph the relationship between x and y would be y=-2x or y=x+60, but since proportional relationships require that y equals x times something that is not an option.

So we just have to evaluate the possibilities from the points given for this problem with the relationship found:

(-40,20)

y=-2x> y=-2(-40)> y=80> since y is not equal to 80 this one is wrong

(-10,-20)

y=-2x> y=-2(-10)> y=20 since y= 20 is not true this is wrong

(15,-30)

y=-2x> y=15(-2)> y=-30 since y=-30 this is correct

(5,-15)

y=-2x> y=-2(5)> y=-10 since y=-10 is not true, this is wrong

So after evaluating the options we know that the correct one that would create a proprotional relationship would be (15,-30)

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The ratio of boy campers to the number of girl campers is 8:7. If there are a total of 195 children, how many are boys and how

Luden [163]

$8x-amount\ of\ boys\\7x-amount\ of\ girls\\\\8x+7x=195\\
15x=195\ \ \ |Divide\ by\ 15\\x=13\\\\
8x=8*13=104\\
7x=7*13=91\\\\
\textbf{There\ are\ 104\ boys\ and\ 91\ girls.}$

7 0

3 years ago

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

3 years ago

A balloon is released from a height of 10 feet. The balloon climbs an additional 70% of its previous height as each minute passe

Ainat [17]

The initial height of the balloon is 10 feet which then increases by 70% to (10 ×1.7) = 17 feet, then to (17 × 1.7) =28.9 feet, and so fourth if the rate of increase is kept constant. Therefore, forming a geometric sequence such that to get any term in the sequence we use the formula ar∧(n-1), where a is the first term, r is the common ratio, and n is the term in the sequence. In this case a is 10 and r= 1.7 , to get the height in the fourth minute it means n =5 (for the first term there is 0 minutes, such that for 0 minutes n= 1)
Thus, 10 × 1.7 ∧ 4 = 83.521 feet.
Therefore, the answer is 83.521 feet

3 0

3 years ago

Read 2 more answers

Add the two expressions 6q+1 and q+11 Enter your answer into the box

In-s [12.5K]

Answer:

7q + 12

Step-by-step explanation:

6q + 1 + q + 11

add like terms. add 6q and q together and then add 1 and 11 together

6q + q + 1 + 11

7q + 12

7q + 12 is your answer. i hope this helps :)

7 0

3 years ago

Read 2 more answers

Please I need help!

Artemon [7]

Answer:

I think it’s 20 ft

Step-by-step explanation:

7 0

3 years ago

Which ordered pair would form a proportional relationship with the point graphed below​

Which ordered pair would form a proportional relationship with the point graphed below