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2 years ago

each of 16 students in a class made a poetry book. each book contained 24 poems. how many poems are in 16 books

Mathematics

1 answer:

n200080 [17]2 years ago

6 0

16 x 24 = 384
384 poems are in 16 books.

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Find the work done in winding up a 175 ft cable that weighs 3 lb/ft.

nignag [31]

Answer:

$work \ done= 45937.5$

Step-by-step explanation:

Work done is given by

$work \ done=\int_a^b w(d-x) \ dx$ , where d = length of cable and w = weight of cable.

Here, d = 175 ft and w = 3 lb/ft

Now, $work \ done=\int_0^{175} 3(175-x) \ dx$

$work \ done= 3\left [175x-\frac{x^2}{2} \right ]_0^{175}$

$work \ done= 3\left [175^2-\frac{175^2}{2} \right ]$

$work \ done= 3\cdot \frac{175^2}{2}$

$work \ done= 45937.5$

8 0

4 years ago

Find the domain and range of the relation: {(–20, 11), (6, –8), (1, –20), (–13, 13)}

user100 [1]

Answer:

D: {-20, -13, 1, 6}

R: {-20, -8, 11, 13}

Step-by-step explanation:

Given the relation, {(–20, 11), (6, –8), (1, –20), (–13, 13)}, all x-values (inputs) make up the domain of the relation while all y-values make up the range of the relation.

Therefore:

Domain: {-20, -13, 1, 6}

Range: {-20, -8, 11, 13}

4 0

3 years ago

Is x a solution to 80<-9x+8

saveliy_v [14]

Answers: $x$

1. Switch sides

$-9x+8>80$

2. Subtract by 8 from both sides of equation.

$-9x+8-8>80-8$

3. Simplify.

$-9x>72$

4. Multiply by -1 from both sides of equation. (it's should be the reverse inequality).

$(-9x)(-1)$

5. Simplify.

$9x$

6. Then you had to divide by 9 from both sides of equation.

$\frac{9x}{9}< \frac{-72}{9}$

7. Simplify.

$\frac{9x}{9}=x$

8. Divide by the numbers.

$\frac{9}{9}=1$

$=x$

$\frac{-72}{9}=-8$

9. Divide by the numbers.

$\frac{72}{9}=8$

$=-8$

$x$

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3 0

3 years ago

kandy is financing a $335,000 mortgage for 30 years at a fixed rate of 7.5% what is the total cost of the principal and interest

-BARSIC- [3]

Given:
<span>F= $335,000
n = 30 years at a fixed rate of i = 7.5%

Required:
the total cost of the principal

Solution:
F = P(1+i)^n
P = F/(1+i)^n
P = 335,000 / (1.0.075)^30
P = 38,264.05</span>

8 0

3 years ago

Please answer please

IRISSAK [1]

Step-by-step explanation:

cos A = 16/20 = 4/5

tan A = 12/16 = 3/4

sin A = 12/20 = 3/5

4 0

3 years ago