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3 years ago

Given f(x) = 2x + 9, if f(x) = 15, find x.

Mathematics

1 answer:

AleksandrR [38]3 years ago

4 0

Answer:

Step-by-step explanation:

$f(x)=2x+9\\\\\text{Substitute}\ f(x)=15:\\\\15=2x+9\qquad\text{subtract 9 from both isdes}\\\\15-9=2x+9-9\\\\6=2x\qquad\text{divide both sides by 2}\\\\\dfrac{6}{2}=\dfrac{2x}{2}\\\\3=x\to x=3$

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Shelly and Mickelle are making a quilt. They have a piece of fabric that measures 48 inches by 168 inches.

irinina [24]

Answer:

(a) The largest square side is 24 inches

(b) No. of pieces are 14

Step-by-step explanation:

As per the question:

The dimensions of the fabric are $48 in\times 168 in$

(a)To calculate the side length of the largest square piece, we need to find the Greatest Common Factor (GCF) of the dimensions as:

$48 = 2\times 2\times 2\times 2\times 3$

$168 = 2\times 2\times 2\times 3\times 7$

Therefore,

The GCF of the dimensions = $48 = 2\times 2\times 2\times 3 = 24$

Therefore, the largest side of a square that can be cut from the fabric is 24 inches.

(b) The no. of pieces of 24 inches that can be cut from the fabric can be given as:

No. of pieces = $\frac{Total\ Area}{Area\ of\ largest\ square}$

No. of pieces = $\frac{48\times 168}{24\times 24}$ = 14

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2 years ago

Round to the nearest whole number. Simplify (5(12 - 2)2 + 7]/3=

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2 years ago

What are the Multiples of 24

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You just have to take your multiplication table and then you can find what multiplication make 24
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3 years ago

Given f(x) = 2x + 9, if f(x) = 15, find x.​

Given f(x) = 2x + 9, if f(x) = 15, find x.