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1 year ago

If y varies directly with x and y is 37.4 when x is 17, what is the value of x when y is 13.2?

Mathematics

1 answer:

borishaifa [10]1 year ago

8 0

Answer:

Step-by-step explanation:

We have y ∝ x which is another way of saying y varies directly with x

We can rewrite the direct proportion relation y ∝ x as y = k.x where k is a constant - the constant of proportionality

So y = kx or x = y/k

using y and x values know, we can solve for k and then solve for any x given y

We have

y = 37.4 = k (17)

Therefore k = (37.4/17) = 2.2

To find x given y = 13.2, use the second equation
x = y/k = 13.2 / 2.2 = 6

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Need help with number 2

Slav-nsk [51]

Luis is wrong because 8 to the third power is not 24, but is 512. He multiplied 8 by 3 instead of doing 8x8x8, so Luis made an incorrect claim.

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3 years ago

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For a Chinese New Year celebration, James and Zhou are making a dragon costume similar to the one shown above.

Lilit [14]

Answer:

C. 24 meters

Step-by-step explanation:

Given:

Total length of fabric required for the costume = 56.6 m

Length of fabric Zhou already has = 15 m

Length of fabric James just purchased = 17.6 m

To find how much more length of fabric is required to make the complete costume.

Solution:

Let the length of fabric in meters still required be = $x$

The total length can be given as :

⇒ $(15+17.6+x)\ m$

⇒ $(32.6+x)\ m$

The total fabric required = 56.6 m

So, the equation to find $x$ will be:

$32.6+x=56.6$

Subtracting both sides by 32.6

$32.6+x-32.6=56.6-32.6$

∴ $x=24$

Thus, 24 meters of fabric is still required to make the costume.

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3 years ago

If a ray QT bisects <RQS, what will be the measure of one of the resulting angles? mZTQS=

Free_Kalibri [48]

Answer:

add it bro

Step-by-step explanation:

so easy and you will find your answer

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4 years ago

Angles A and B are supplementary angles. The mZA = (9x - 12) and the mZB = (24x + 60).

Kruka [31]

Answer:

/ A = 24°

/ B = 156°

Step-by-step explanation:

Supplementary angles add up to 180°.

_________________________________

Therefore, / A + / B = 180

(9x - 12) + (24x + 60) = 180

9x - 12 + 24x + 60 = 180

33x + 48 = 180

33x = 180 - 48

33x = 132

x = 132/33

x = 12/3

x = 4

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/ A = (9x - 12)

= (9(4) - 12)

= (36 - 12)

= 24°

/ B = (24x + 60)

= (24(4) + 60)

= (96 + 60)

= 156°

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#teamtrees#WAP

4 0

3 years ago

At a restaurant, 40% of customers order tacos and 60% order fajitas. Of the customers that order tacos, 50% order a chicken taco

fiasKO [112]

Answer:

38% order a chicken dinner

Step-by-step explanation:

40% order tacos. 50% of 40% order chicken tacos. 50% of 40% = 0.5 * 0.4 = 0.2 = 20% order chicken tacos.

60% order fajitas. 30% of 60% order chicken fajitas. 30% of 60% = 0.3 * 0.6 = 0.18 = 18% order chicken fajitas.

20% + 18% = 38% order a chicken dinner.

7 0

4 years ago