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zmey [24]
3 years ago
12

What is the volume of the prism shown below? PLEASE HELP

Mathematics
1 answer:
hram777 [196]3 years ago
5 0

the volume of a rectangular prism is just the product of its height, length and width.

let's firstly convert the mixed fraction to improper fraction and then multiply.


\bf \stackrel{mixed}{1\frac{1}{4}}\implies \cfrac{1\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{5}{4}} ~\hfill V=\cfrac{5}{4}\cdot 4\cdot 2\implies V=10 \\\\\\ ~\hspace{34em}

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Plz help!
jek_recluse [69]

Step-by-step explanation:

let's look at the last line :

x³ + 8x - 3 = Ax³ +5Ax + Bx² + 5B + Cx + D

since we find A, B, C, and D by simply comparing the factors of the various terms in x (or constants) in both sides of the equation, we need to combine a few terms on the right hand side (so that we have one term per x exponent grade).

x³ + 8x - 3 = Ax³ + (5A + C)x + Bx² + (5B + D)

by comparing now both sides, to make both sides truly equal, the factors have to be equal.

A = 1 (the same as for x³ on the left hand side).

B = 0 (a we have no x² on the left side).

5A + C = 8 (a 8 is the factor of x in the left side).

5×1 + C = 8

5 + C = 8

C = 3

5B + D = -3 (as the constant term is -3 on the left side).

5×0 + D = -3

D = -3

so, the 4th answer option is correct.

7 0
2 years ago
Last month a bakery sold a total of 3,500 cookies and cupcakes. They sold cookies for $0.75 each and cupcakes for $2 each. If th
Schach [20]

Answer:

Number of cookies sold is 2000 and number of cupcakes sold is 1500

Step-by-step explanation:

Let number of cookies be x

and number of cupcakes be y so

x+y=3500

Cost of one cookie is $0.75

Cost of one cupcake is $2

0.75x+2y=4500

x+y=3500 \times 2

2x+2y=7000

-1.25x=-2500\\\Rightarrow x=\dfrac{2500}{1.25}\\\Rightarrow x=2000

y=3500-x=3500-2000\\\Rightarrow y=1500

Number of cookies sold is 2000 and number of cupcakes sold is 1500.

6 0
3 years ago
What is the slope of the line that passes through the following points? <br> (-1,-2) and (-3,-4)
iragen [17]

Answer:

y = x - 1

Step-by-step explanation:

Find the slope:

(-4 - (-2))/(-3 - (-1))

-2/-2 = 1

y = x + b

Plug in one of the points:

(-1,-2)

-2 = -1 + b

b = -1

y = x - 1

4 0
3 years ago
4 [-2a - 6b + 5a - 1]​
Paha777 [63]

Answer:

<h2>4(3a-6b-1)</h2>

Step-by-step explanation:

4 [-2a - 6b + 5a - 1]​\\\\Simplify\:\\-2a - 6b + 5a - 1 : 3a-6b-1\\\\=4\left(3a-6b-1\right)

3 0
3 years ago
Please help I need to finish this test today
nignag [31]

Answer:

What are the options for the answers?

Step-by-step explanation:

please put the options so I can help you!

3 0
3 years ago
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