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Marianna [84]
2 years ago
13

1. A new company wants to mail out samples of its hair products. The company has a sample box that is a rectangular prism with a

rectangular base with
an area of 23 1/3 sq. in. The height of the prism is 1 1/4 in. Determine the volume of the sample box
A.24 7/12 sq. inches
B. 24 7/12 cubic inches
C.175/6 sq. inches
D. 175/6 cubic inches

Mathematics
1 answer:
Goryan [66]2 years ago
4 0

Answer:

Volume of rectangular prism = 175 / 6 inch³

Step-by-step explanation:

Given:

Base area of rectangular prism = 23 ¹/₃ inch² =  70 / 3 inch²

Height of rectangular prism = 1 ¹/₄ inch = 5 / 4 inch

Find:

Volume of rectangular prism

Computation:

Volume of rectangular prism = Base area of rectangular prism x Height of rectangular prism

Volume of rectangular prism = [70 / 3] x [5 / 4]

Volume of rectangular prism = [350 / 12]

Volume of rectangular prism = 175 / 6 inch³

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Jessica drew a circle divided into 8 equal parts she shaded six of the parts what fraction is equivalent to the part of the circ
Anni [7]

Answer:

3/4

Step-by-step explanation:

Jessica shaded 6/8 of the circle. That fraction can be reduced by removing a factor of 2 from numerator and denominator. The reduced fraction is 3/4.

\dfrac{6}{8}=\dfrac{2\cdot 3}{2\cdot 4}=\dfrac{2}{2}\cdot\dfrac{3}{4}=1\cdot\dfrac{3}{4}\\\\=\dfrac{3}{4}

3 0
3 years ago
Simplify each expression.<br><br> 5x+ 3/4 +2x− 1/2
suter [353]

Answer:

7x+1/4

Step-by-step explanation:

5x+3/4+2x+-1/2

Combine Like Terms:

5x+3/4+2x+-1/2

(5x+2x)+(3/4+-1/2)

7x+1/4

Hope this helps

7 0
3 years ago
Y&gt;1 and y&gt;x on a graph
zlopas [31]

So,

y>1\wedge y>x

1. Graph each inequality separately.

2. Choose a test point to determine which side of the line needs to be shaded.

3. The solution to the system will be the area where the shadings from each inequality overlap one another (purple area)

As for the system of inequalities we say it's unbounded.

3 0
3 years ago
AB = x + 8
vivado [14]

Answer: The length of BC is 7

Step-by-step explanation: Assuming the lengths of the opposite sides of the quadrilateral are congruent, then

AB=DC and

AD=BC

Inputting the values of AB, DC and AD as given in the question:

x + 8 = 3x ...(1)

x + 3=? ...(2)

We have to solve for the value of x to get the actual lengths and thus ascertain BD.

From equation (1):

8 = 3x - x

8 = 2x

8/2 = x

Therefore, x = 4.

If x = 4 then equation(2) would be

4 + 3= 7.

Hence, the actual lengths of the quadrilateral are:

AB = 4 + 8. DC = 3(4)

=12. =12.

AD = 4 + 3. AD = BC

= 7. Therefore, BC = 7.

Hence, it is confirmed that quadrilateral ABCD is a parallelogram since both the opposite sides are proven to be congruent.

3 0
3 years ago
HELP DUE NOW GIVING BRAINLIST HELP ASAP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Sergeeva-Olga [200]

Answer:

1) distributive property.

Step-by-step explanation:

Becca used the distributive property, in that she distributed (multiplied) 4 to all terms within the parenthesis:

4(x + 2) = 4x + 8

~

8 0
3 years ago
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