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ehidna [41]
2 years ago
14

How many unit cubes will fit in the rectangular prism? A) 9 B) 36 C) 40 D) 45

Mathematics
1 answer:
antiseptic1488 [7]2 years ago
8 0

Answer:

D) 45

Step-by-step explanation:

5 x 3 x 3 = 45

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Degrees Celsius and degrees Fahrenheit are related by C=5/9(F-32).What is F in terms of C?
valina [46]

We are given: Degrees Celsius and degrees Fahrenheit are related by formula

C=\frac{5}{9} (F-32)

To find : Solve formula for F in terms of C.

Solution: We have , C=\frac{5}{9} (F-32)

First we need to get rid 9 from right denominator.

In order to get rid 9 from right denominator, we need to multiply equation both sides by 9.

9*C=9*\frac{5}{9} (F-32)

9C = 5 (F-32).

Distributing 5 on right side over (F-32), we get 5*F - 5*32 = 5F - 160.

9C = 5F - 160.

Adding 160 on both sides,

9C+160 = 5F - 160+160.

9C+160 =5F

Dividing both sides by 5, we get

(9C+160)/5 =5F/5.

\frac{9C+160}{5}=F

Splitting fraction 1/5, we get

F= \frac{1}{5} (9C+160).




4 0
3 years ago
Whats the exanded expression for -7(k-3)
gizmo_the_mogwai [7]

Answer:

-7k+21

Step-by-step explanation:

<em>Distributive Property:</em>

<em>     ↓</em>

<em>A(B+C)=AB+AC</em>

<em />

<em>A=-7, B=K, and C=3</em>

<em />

<em>-7k+7*3</em>

<em />

<em>Multiply by the numbers from left to right to find the answer.</em>

<em />

<em>7*3=21</em>

<em>-7k+21 is the correct answer.</em>

<em />

4 0
3 years ago
Jackie used to be on the phone 3 1/2 times as much as her brother. Her parents threatened to take away the phone, so she cut dow
Citrus2011 [14]
Hello! Your answer is 4 1/6!
Enjoy your day and good luck!
5 0
2 years ago
A bakery uses 10 1/5 ounces of icing for every 1/4 of a cake. What is the unit rate in ounces of icing per cake
Marrrta [24]

Answer:   40\dfrac{4}{5}\text{ ounces}

Step-by-step explanation:

Given : The amount of icing used for every \dfrac{1}{4} of a cake = 10\dfrac{1}{5}\text{ ounces}

=\dfrac{51}{5}\text{ ounces}

To find the unit rate in ounces of icing per cake, we need to divide \dfrac{51}{5} by  \dfrac{1}{4} , we get

The unit rate in ounces of icing per cake = \dfrac{51}{5}\div\dfrac{1}{4}

\dfrac{51}{5}\times4=\dfrac{204}{5}=40\dfrac{4}{5}

Hence, the unit rate in ounces of icing per cake = 40\dfrac{4}{5}\text{ ounces}

4 0
3 years ago
Read 2 more answers
For what values of the numbers a and b does the function below have maximum value f(1) = 4? (Round the answers to three decimal
Georgia [21]
F (x) = a x  e^{b x^{2} }
f ` (x) = a( e^{b x^{2} } +x e ^{b x^{2} } *2 b x )=a e ^{b x^{2} } (1+2b x^{2} )
f ( 1 ) = 4
f ` ( 1 ) = 0
4 = a e ^{b}  \\ a e ^{b} (1 + 2 b ) = 0 \\ 4 ( 1 + 2 b )= 0&#10;
b = -1/2
4=a e ^{-1/2} =  \frac{a}{ \sqrt{e} }  \\ a = 4 \sqrt{e}
Answer:  a = 4√e, b = -1/2

4 0
3 years ago
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