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Mariulka [41]
3 years ago
13

13 cans of paint with 5/6 liters of paint in each were used to paint 4 identical cars. How can you calculate the amount of paint

used for each car? Select all that apply.
(A) 5/6 ·4÷13 (B) 5/6 ·13÷4 (C) 5/6 ÷4·13
(D) 5/6 · 13/4 (E) 5/6 ÷13·4 (F) 5/6 · 4/13
Mathematics
1 answer:
brilliants [131]3 years ago
3 0

Answer:

(B) 5/6 ·13÷4

(C) 5/6 ÷4·13

(D) 5/6 · 13/4

Step-by-step explanation:

Amount of paint per can = \[\frac{5}{6}\] liters.

Number of cans used to paint 4 cars = 13

Total amount of paint used for 4 cars = \[13 * \frac{5}{6}\] liters.

= \[\frac{13 * 5}{6}\] liters.

= \[\frac{65}{6}\] liters.

Total amount of paint used for 1 car = \[\frac{65}{6} \div 4\] liters.

= \[\frac{65}{24}\] liters.

Of the given options, option B,C and D correspond to the same value.

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7 0
3 years ago
A total of $12,000 is invested at an annual interest rate of 9%. Find the balance
sineoko [7]

Answer:

$18,726.11

Step-by-step explanation:

Lets use the compound interest formula provided to solve this:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First lets change 9% into a decimal:

9% -> \frac{9}{100} -> 0.09

Since the interest is compounded quarterly, we will use 4 for n. Lets plug in the values now:

A=12,000(1+\frac{0.09}{4})^{4(5)}

A=18,726.11

<u>The balance after 5 years is $18,726.11</u>

6 0
3 years ago
Plz help
kvv77 [185]

Option C: 5 x(4 x+7)(3 x+2) is the possible expressions for length, width and height of the prism.

Explanation:

The volume of the rectangular prism is 60 x^{3}+145 x^{2}+70 x

To determine the length, width and height of the rectangular prism, let us factor the expression.

Thus, factoring 5x from the expression, we have,

5 x\left(12 x^{2}+29 x+14\right)

Let us break the expression 12 x^{2}+29 x+14 into two groups, we get,

5x[\left(12 x^{2}+8 x\right)+(21 x+14)]

Factoring 4x from the term 12 x^{2}+8 x , we get,

5x[4 x(3 x+2)+(21x+14)]

Similarly, factoring 7x from the term 21 x+14 , we get,

5x[4 x(3 x+2)+7(3x+2)]

Now, let us factor out 3x+2, we get,

5 x(4 x+7)(3 x+2)

Hence, the possible expressions for length, width and height of the prism is 5 x(4 x+7)(3 x+2)

Therefore, Option C is the correct answer.

8 0
3 years ago
HELP!! <br> Determine the length of side CB.
bazaltina [42]

Answer:

3√2 is the answer as:

sin45°=p/b

1/√2= AC/CB

1/√2= 3/CB

cross multiplication

CB = 3√2

4 0
3 years ago
Which statement about the amount of paint found by
stepan [7]
  • Circumference=37.68cm
  • 2πr=37.68
  • 6.28r=37.68
  • r=6cm

So

TSA of one hemisphere

  • 2πr²+πr²
  • 6.28(6)²+3.14(6)²
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  • 36(6.28+3.14)
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  • 339.12cm³

For 2 hemisphere

  • TSA=2(339.12)=678.24cm³
3 0
2 years ago
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