Part A: Solve A = (x + 23) for x.

A = x + 23

=> A - 23 = x + 23 - 23

=> A - 23 = x

=> x = A - 23 <------- answer

Part B: Determine the value of x when A = 108

Replace the value of A in the expression x = A - 23

x = 108 - 23 = 75

x = 75 <------- answer

Part C: Solve -np - 90 > 30 for n.

-np - 90 > 30

=> -np + np - 90 >30 + np

=> - 90 > 30 + np

=> -90 - 30 > 30 - 30 + np

=> -120 > np

=> np < - 120 <----- answer

7 0

3 years ago

A graphic designer created a logo on 8 1/2 by 11 inch paper. In order to place on a business card the logo needs to be 1 7/10 in

neonofarm [45]

K - scale factor
a = 8 1/2
b = 11
a₁ = 1 7/10
b₁ = 2 1/5

$k = \frac{a_1}{a}=\frac{b_1}b\\\\\\\frac{a_1}{a}=\dfrac{1 \frac{7}{10}}{8\frac12}=1 \frac{7}{10}:8\frac12=\frac{17}{10}:\frac{17}2=\frac{17}{10}\cdot\frac2{17}=\frac15\cdot\frac11=\frac15\\\\\\\frac{b_1}{b}=\dfrac{2 \frac{1}{5}}{11}=2\frac15:11=\frac{11}{5}\cdot\frac1{11}=\frac15\cdot\frac11=\frac15 \\\\\\\frac{a_1}{a}=\frac{b_1}b=\frac15\ \ \ \implies\ \ \ k=\frac15$

6 0

3 years ago

? divided by 2/3= 3/8

NeX [460]

When you divide by a fraction all you have to is multiply by the reciprocal. The reciprocal of 3/8 is 8/3.
The real problem is 2/3 TIMES 8/3. Multiply the numerators across 2 X 8 = 16. Then multiply the denominators across 3 X 3 = 9. The answer is 16/9. If you need to simplify then the answer is 1 7/9.

3 0

3 years ago

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