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andriy [413]
3 years ago
14

Solve for X: 5x+2=12 A) -2 B) 5 C) 2 D) 1

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
5 0

\huge\boxed{\text{C)}\ 2}}

Start with the original equation.

5x+2=12

Subtract 2 from both sides.

5x=10

Divide both sides by 5.

\large\boxed{x=2}

puteri [66]3 years ago
3 0

Answer: C) 2

Step-by-step explanation: The first step is to subtract 2 from both sides. This leaves you with 5x=10. Lastly, you divide both sides by 5. You end up with x=2

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The lengths of a triangle are in the extended ratio 6:7:9. The perimeter of the triangle is 88 cm. What are the lengths of the s
hoa [83]

Answer:

24cm, 28cm, 36cm

Step-by-step explanation:

Since the sides have a ratio of 6:7:9 we can connect them to the variable of x and find the sum of the sides for the perimeter:

P = 6x + 7x + 9x = 88

Combine like terms: 22x = 88

Divide by 22 on both sides: 22x/22 = 88/22

Solve for x:  x = 4

6x = 6(4) = 24cm

7x = 7(4) = 28cm

9x = 9(4) = 36 cm

5 0
3 years ago
In a survey of 90 students 20 choose rock.40 chose hip hop 30 chose country. In a school of 360 students how many would be expec
lina2011 [118]

Answer:

The students would be expected to choose rock be<u> 80</u> or students choose hip hop be <u>160</u> or choose to country be <u>120</u>.

Step-by-step explanation:

Given:

In a survey of 90 students 20 choose rock, 40 choose hip hop and 30 choose country.

Now, to find the students expected to choose hip hop or rock or country in a school of 360 students.

Let the number of students expected to choose rock be x.

Let the number of students expected to choose hip hop be y.

Let the number of students expected to choose country be z.

Total number of students = 360.

Now, to get the number of students choosing hip hop or rock or country by using cross multiplication method:

In a survey of 90 students 20 choose rock.

So, 90 is equivalent to 20.

Thus, 360 is equivalent to x.

\frac{90}{20} =\frac{360}{x} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=7200\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=80.

<u><em>Thus, the number of students expected to choose rock is 80.</em></u>

Now,

In a survey of 90 students 40 choose hip hop.

So, 90 is equivalent to 40.

Thus, 360 is equivalent to y.

\frac{90}{40} =\frac{360}{y} \\\\By\ cross\ multiplying\ we\ get:\\\\90y=14400\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\y=160.

<u><em>Therefore, 160 students expected to choose hip hop.</em></u>

And,

In a survey of 90 students 30 choose country.

So, 90 is equivalent to 30.

Thus, 360 is equivalent to y.

\frac{90}{30} =\frac{360}{z} \\\\By\ cross\ multiplying\ we\ get:\\\\90x=10800\\\\Dividing\ both\ sides\ by\ 90\ we\ get:\\\\x=120.

<u><em>Hence, 120 students expected to choose country.</em></u>

Therefore, the students would be expected to choose rock be 80 or students choose hip hop be 160 or choose to country be 120.

5 0
4 years ago
What is the volume of this rectangular prism?
nirvana33 [79]
262 1/2 the last one
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Finger [1]

Answer:

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Step-by-step explanation:

1. Factor the 2 out of the equation (don't forget about it - it will be used later). This gives you x^2 + 6x + 7

2. Subtract the 7 over. This gives you x^2 + 6x = -7

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4. Factor the left side of the equation. This gives you (x + 3)^2 = 2

5. Subtract the 2 over. This gives you (x + 3)^2 - 2

6. Remember that 2 we factored out of the equation earlier? Well that goes in front of the parentheses now, giving you the final answer of 2 (x + 3)^2 -2

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A.5÷4 divide and show work​
expeople1 [14]

Answer:

1.25

Step-by-step explanation:

7 0
3 years ago
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