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Montano1993 [528]
3 years ago
13

What is the volume of the figure below?

Mathematics
1 answer:
Alja [10]3 years ago
7 0

Answer:

312

Step-by-step explanation:

Volume of the parallalelepiped:

base x width x height

V = 5 x 4 x 12 = 240

for triangular prism:

base = 8-5 = 3

base area = (base x height)/2 = (3x4)/2 = 6

V = base area x 12

V = 6 x 12 = 72

Total volume = 240 + 72 = 312

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A collection of 22 dimes and quarters has a total value of $4.00. Write a system of equations that defines this situation and so
Rainbow [258]
Since dimes + quarters = 22
And dimes are 0.10 cents as quarters = 0.25 cents
Let’s make d = dime, q = quarter
d + q = 22
0.10d + 0.25q = 4.00
Let’s use substitution
d + q = 22, get d or q by itself
d = 22 - q (plug into second equation)
0.10(22-q) + 0.25q = 4
2.2 - 0.10q + 0.25q = 4
2.2 + 0.15q = 4
0.15q = 1.8, q = 12
Since there are 12 quarters you know there are 10 dimes (22 in total)

Solution: 10 dimes, 12 quarters
7 0
3 years ago
Find the LCM of 2 and 3
max2010maxim [7]

\boxed{\sf  \: \begin{cases}\\\begin{gathered} {{{ \sf {\red{\large\bf { {\rm {\orange{\begin{array}{r | l}2&\underline{2,3}\\3&  \underline{1,3}\\&\underline{1,1}\ \: \end{array}}}}} }}}}}\end{gathered}\\\end{cases}}

LCM = 2 × 3 = 6

<u>LCM </u><u>of </u><u>2</u><u> </u><u>and</u><u> </u><u>3</u><u> </u><u>is </u><u>6</u>

8 0
3 years ago
One serving of granola provides 4% of the protein you need daily. You must get the remaining 48 grams from other sources. How ma
Inessa [10]
X=grams of protein you need daily.
Remember (4%=4/100=0.04).

x=4% of x + 48 g

therefore, we can suggest this equation:
x=0.04x+ 48
x-0.04x=48
0.96x=48
x=48/0.96
x=50

Answer: 50 grams of proteins you need daily.

Other method:
the remaning is equal to =100%-4%=96%

Therefore: 96% of x=48
Remember (96%=96/100=0.96)

we can suggest this equation too.
0.96x=48
x=48/0.96
x=50

Answer:50 grams of proteins you need daily.
3 0
3 years ago
Helpppp plsssssssss
Kryger [21]

Answer:

x intercept is (3,0)

y intercept is (0,-10)

7 0
3 years ago
In the jone school library,10/20 of the computers have scanners.in simplest form, which fraction of the computers have scanners?
n200080 [17]

Answer:

1/2

Step-by-step explanation:

5 0
3 years ago
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