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Katena32 [7]
3 years ago
6

Which choice is the most efficient first step to solve this set of equations?

Mathematics
1 answer:
Verdich [7]3 years ago
4 0

Answer:

Option b) is correct

3x+4(2x+4)=17  Substitute (2x+4) for y in the second equation

Step-by-step explanation:

Given Equations are

y=2x+4\hfill (1) and 3x+4y=17\hfill (2)

To solve the given equations we have to find the value of

x and y values.

Here y value is given so that we can substitute  y=3x+4 value  in second equation

ie., Substitute equation (1) in (2) equation we can easily get x value.

Therefore  substitute (2x+4) for y in the second equation we get

3x+4(2x+4)=17

Option b) is correct

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A cylinder with radius 3 feet and height 5 feet is shown.
Leviafan [203]

Answer:

The volume of the cylinder is <u>141.23 cubic feet </u>

Step by step explanation :

<u>Given</u>-

  • Radius of cylinder = 3 feet
  • Height of cylinder = 5 feet

Now, we know that

<h3>\boxed {\mathfrak \red{ volume \: of \: cylinder = \pi {r}^{2} h}}</h3>

where, r is the radius of the cylinder & h is the height of the cylinder.

Now,

Volume of the cylinder = \frac{22}{7}  \times  {3}^{2}  \times 5

=  \frac{22}{7}  \times 3 \times 3 \times 5

<h3>=   \frac{990}{7}</h3>

= 141.428571 ( approximately )

=  \boxed{ 141.43 \:  \mathfrak { {ft}^{3}} }

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2 years ago
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Assoli18 [71]

Answer:

Step-by-step explanation:

1). 8(5)-8+10

40-8+10

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42, so answer is C

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8 0
3 years ago
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Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes. The distance from Hickory Hills t
beks73 [17]

Answer: V=51\ \frac{mi}{h}

Step-by-step explanation:

You need to used the following formula:

V=\frac{d}{t}

Where "V" is the speed, "d" is the distance and "t" is the time.

In this case you know that Kevin traveled at a constant speed on the highway from Hickory Hills to Chicago in 20 minutes (which is \frac{1}{3}\ h) and the distance is 17 miles. Then, you can identify that:

t=\frac{1}{3}\ h\\\\d=17\ mi

Therefore, knowing these values, you can substitute them into the formula. Then, you get:

V=\frac{17\ mi}{\frac{1}{3}\ h}\\\\V=51\ \frac{mi}{h}

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3 years ago
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PtichkaEL [24]
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