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xxMikexx [17]
3 years ago
9

Which steps can be taken to translate the phrase “the height of a tree is increased by seven inches” into an algebraic expressio

n? Check all that apply.
Replace “the height of a tree” with a variable, x.

Replace “seven inches” with a variable, x.

Replace “increased by” with an addition symbol.

Replace “seven inches” with 7.

Replace “increased by” with a multiplication symbol.

Replace “the height of a tree” with 7.

Write the expression X + 7 .

Write the expression X x 7 .
Mathematics
2 answers:
-BARSIC- [3]3 years ago
8 0

Answer:

Replace “the height of a tree” with a variable, x

Replace “increased by” with an addition symbol

Replace “seven inches” with the number  7.

Write the expression X + 7

Step-by-step explanation:

borishaifa [10]3 years ago
6 0

Answer:

Replace “the height of a tree” with a variable, x

Replace “increased by” with an addition symbol

Replace “seven inches” with the number  7.

Write the expression X + 7

Step-by-step explanation:

we have the phrase

“The height of a tree is increased by seven inches”

so

Let

x------> the height of a tree

1) Replace “the height of a tree” with a variable, x

2) Replace “increased by” with an addition symbol (+)

3) Replace “seven inches” with 7.

4) Write the expression X + 7

therefore

The algebraic expression is

X+7

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4 years ago
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If y varies directly as x and y = 144 when x = 12, what is the value of y when x = 17?
olasank [31]
Direct variation:
y=kx

y=144 when x=12.
144=12k \\ k=\frac{144}{12} \\ k=12

y=? when x=17.
y=12 \times 17 \\
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6 0
3 years ago
PLS HELP ASAP!!! <br><br> THANK YOU.
ipn [44]

9514 1404 393

Answer:

  • rectangular prism: 288 ft³
  • triangular prism: 72 ft³
  • total: 360 ft³

Step-by-step explanation:

The volume of a rectangular prism is given by the formula ...

  V = LWH . . . . . the product of length, width, height

This rectangular prism has a volume of ...

  V = (12 ft)(6 ft)(4 ft) = 288 ft³ . . . . rectangular prism volume

__

The volume of a triangular prism is found from the formula ...

  V = Bh

where B is the area of the triangular base, and h is the height of the prism (distance between the triangular bases). The triangular base area is found from ...

  A = 1/2bh . . . . .where b is the base of the triangle, and h is its height.

Here, we have ...

  B = 1/2(6 ft)(4 ft) = 12 ft²

  V = Bh = (12 ft²)(6 ft) = 72 ft³ . . . . triangular prism volume

__

The total volume of the given geometry is the sum of the volumes of the parts:

  aquarium volume = 288 ft³ +72 ft³ = 360 ft³

3 0
3 years ago
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