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ElenaW [278]
3 years ago
13

If x varies directly with y and x = 2.5 when y = 10, find x when y = 16.

Mathematics
2 answers:
irina1246 [14]3 years ago
5 0

Answer:

x = 4

Step-by-step explanation:

If x varies directly with y

Directly Proportional:

y\proto x

y=kx

where, k is constant of proportionality

x = 2.5 when y = 10

10=k\cdot 2.5

k=4

Equation:

y=4x

Put y=16 and solve for x

16=4x

x=4

Hence, The value of x is 4 at y=16

aksik [14]3 years ago
4 0
Since 2.5 is a quarter of 10, u have to find a quarter of 16 which is 4. So X=4
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3 years ago
A choir teacher is dividing 12 sopranos and 9 altos into singing groups. He wants each group to have the same combination of sop
almond37 [142]

Answer:

3 groups

Step-by-step explanation:

Sopranos = 12

Altos = 9

Find the highest common factor of 12 and 9

12 = 1, 2, 3, 4, 6, 12

9 = 1, 3, 9

The highest common factor of 12 and 9 is 3

Therefore, the choir teacher can only have 3 groups

12 sopranos / 3 groups

= 4 sopranos per group

9 Altos / 3 groups

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Each of the 3 groups Will have 4 sopranos and 3 altos each

3 0
3 years ago
Translate the sentence into an equation or formula.
inn [45]
4 times the sum of f and g: 4(f+g)
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6 0
3 years ago
Please help me out..
sdas [7]

Answer:

x=41

y=139

Step-by-step explanation:

x+y = 180  since they form a straight line

y is 3x +16

y = 3x +16

Replace y in the first equation

x+3x +16 = 180

Combine like terms

4x +16 = 180

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4x+16-16 =180-16

4x =164

Divide each side by 4

4x/4 =164/4

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