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3 years ago

The variables x and y are related proportionally. When x = 8, y = 14. Find y when x = 32.

Mathematics

1 answer:

KengaRu [80]3 years ago

6 0

Answer:

y = 56

Step-by-step explanation:

given that x and y are proportional then

y = kx ← k is the constant of proportionality

to find k use the given condition y = 14 when x = 8

k = $\frac{y}{x}$ = $\frac{14}{8}$ = $\frac{7}{4}$ , thus

y = $\frac{7x}{4}$

when x = 32

y = $\frac{7(32)}{4}$ = 56

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ser-zykov [4K]

Answer:

a = 12

Step-by-step explanation:

add 2 to each side

5a/3 = a/4 + 17

distribute 12 to remove fractions

20a = 3a + 204

17a = 204

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2 years ago

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jolli1 [7]

Answer:

h=8

Step-by-step explanation: $\frac{-7}{8} h= -7\\\\(\frac{8}{-7} )(\frac{-7}{8} h)= -7 (\frac{8}{-7} )\\\\\frac{-56}{-56}h = \frac{56}{7}\\\\ h=\frac{56}{7}\\\\h=8$

the goal is to isolate the variable, get it all by itself. to do that in this problem, we have to move the -7/8 away from the h. we do this by multiplying by the reciprocal (the opposite of the fraction). The reciprocal of -7/8 is 8/-7. So multiply both sides by this and you will get h=8

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2 years ago

Members of the band are selling candy bars to raise money. The director uses this equation to calculate the amount of profit, p,

ivolga24 [154]

Answer:

Step-by-step explanation:

Given the equation used to calculate the amount of profit, p, made from selling n candy bars expressed as p = 1.50n – 500

To find the number of candies sold for $700, we are going to substitute p = $700 into the given expression and find n as shown;

700 = 1.50n - 500

Add 500 to both sides

700+500 = 1.50n-500+500

1200 = 1.50n

Divide both sides by 1.50

1200/1.50 = 1.50n/1.50

800 = n

Rearrange

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Hence 800 candy bars must be sold to make $700 profit

7 0

2 years ago

URGENT DUE BY 2:30 WILL RATE GOOD:)

Dmitry [639]

Areashaded=areabigcircle-areasmallcircle

areacircle=pir^2
d/2=r

big diameter=20.4, so radius i 20.4/2=10.2cm

small is 10.8/2=5.4

so
big-small
pi10.2^2-pi5.4^2
pi(104.04-29.16)
pi(74.88)
using 3.14=pi
235.1232 cm^2

answer is B

7 0

2 years ago

Read 2 more answers

The figure below shows a quadrilateral ABCD. Sides AB and DC are congruent and parallel: A quadrilateral ABCD is shown with the

algol [13]

A Quadrilateral A B C D in which Sides AB and DC are congruent and parallel.

The student has written the following explanation

Side AB is parallel to side DC so the alternate interior angles, angle ABD and angle BDC, are congruent. Side AB is equal to side DC and DB is the side common to triangles ABD and BCD. Therefore, the triangles ABD and CDB are congruent by SAS.

The student has also written

angles DBC and ADB are congruent and sides AD and BC are congruent. Angle DBC and angle ADB form a pair of alternate interior angles. Therefore, AD is congruent and parallel to BC. Quadrilateral ABCD is a parallelogram because its opposite sides are equal and parallel.

Postulate SAS completely describes the student's proof.

Because if in a quadrilateral one pair of opposite sides are equal and parallel then it is a parallelogram.

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2 years ago