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2 years ago

ABC Bookstore sells new books, n, for $12, and used books, u, for $8. The

Mathematics

1 answer:

Helen [10]2 years ago

6 0

Answer:

D.) $12n + $8u = 112 ;u = 4 + n

Step-by-step explanation:

Given that :

Cost per new books (n) = $12

Cost per used book (u) = $8

Total revenue earned = $112

store sold 4 more used books than new books

Hence,

Total revenue should be :

Revenue from new books + Revenue from used book = total revenue

Revenue from new books = $12 * n = $12n

Revenue from used books = $8 * n = $8n

$12n + $8u = 112

Number of books sold :

Number of used books sold = 4 + number of new books sold

u = 4 + n

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Answer the Blanks:

vfiekz [6]

Answer:

1. 90°

2. 90°

3. 40°

4. 45°

5. 45°

Step-by-step explanation:

<u>Given:</u> ΔABC,

CD⊥AB,

m∠A=50°,

m∠ACB=85°

<u>Solution:</u>

1. ∠ADC is a right ange, because CD⊥AB, so

$m\angle ADC=90^{\circ}$

2. ∠CDB is a right ange, because CD⊥AB, so

$m\angle CDB=90^{\circ}$

3. Consider triangle ACD. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ADC+m\angle ACD=180^{\circ}\\ \\50^{\circ}+90^{\circ}+m\angle ACD=180^{\circ}\\ \\m\angle ACD=180^{\circ}-50^{\circ}-90^{\circ}=40^{\circ}$

4. By Angle Addition Postulate,

$m\angle ACD+m\angle BCD=m\angle ACB\\ \\40^{\circ}+m\angle BCD=85^{\circ}\\ \\m\angle BCD=85^{\circ}-40^{\circ}=45^{\circ}$

5. Consider triangle ABC. The sum of the measures of all interior angles is always 180°, so

$m\angle A+m\angle ACB+m\angle B=180^{\circ}\\ \\50^{\circ}+85^{\circ}+m\angle B=180^{\circ}\\ \\m\angle B=180^{\circ}-50^{\circ}-85^{\circ}=45^{\circ}$

6 0

3 years ago

If EF = 5w + 20, FG = 7w + 28, and EG = 72, find the value of w. Find EF and FG

IrinaK [193]

Answer:

w = 2, EF = 30 , FG = 42

Explanation:

We have EF = 5w + 20 and FG = 7w + 28

Since these points E, F and G are col-linear points we have.

EG = EF + FG

And given that EG = 72

So, EF+EG = 72

5w + 20 + 7w + 28 = 72

12w + 48 = 72

12 w = 24

w = 2

So EF = 5w + 20 = 5x2 + 20 = 30

FG = 7w + 28 = 7x2 + 28 = 42

7 0

3 years ago

Which equation has a solution of x = 13?

aniked [119]

Answer: x-10=3

Step-by-step explanation:

The answer is b or, if it shows different its the second option x-10=3

Got it right on edge 100%

Hope I helped.

3 0

3 years ago

Read 2 more answers

#82 will give brainliest to best answer!

Fofino [41]

Answer:

$\frac{6}{k-6}$

Step-by-step explanation:

First, we can factor all of the following equations to turn that weird, huge looking thing into $\frac{(k+6)(k-6)}{(k-6)(k-10)}$ ÷ $\frac{(k-6)^2}{k(k-6)}$ × $\frac{6(k-10)}{k(k + 6)}$ . We know that division is simply multiplication by the reciprocal, so that whole equation will turn into $\frac{(k+6)(k-6)}{(k-6)(k-10)}$ × $\frac{k(k-6)}{(k-6)^2}$ × $\frac{6(k-10)}{k(k+6)}$ . Now we can cancel out some values if they are both in the numerator and denominator, which will turn that still huge looking thing into $\frac{6}{k-6}$ which is our final answer, as it cannot be simplified further.