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Darina [25.2K]
3 years ago
12

Write an algebraic expression to represent each verbal expression.

Mathematics
1 answer:
Nina [5.8K]3 years ago
6 0
Question (1):
Assume that the number is x
We want to get: <span>four times the sum of x and 3
This means that we would add x and 3 first and then multiply the result by 4.
The algebraic expression would be as follows:
4(x+3)

Question (2):
Assume that the number is x.
We want to get: </span><span>7 less than fifteen times x
This means that we would multiply the x by 15 and then subtract 7 from the product.
The algebraic expression would be as follows:
15x - 7

Question (3):
Assume that the number is x.
We want to get: </span><span>the difference of nine times x and the quotient of 6 and x 
This means that:
i- We would first multiply 9 by the number x
ii- Then we would divide 6 by x
iii- Finally we will subtract the quotient (step ii) from the product (step i)
</span>The algebraic expression would be as follows:
(9x) - (6/x)

Question (4):
Assume that the number is x.
We want to get: <span>the sum of 100 and four times a number
This meas that we would first multiply 4 by x and then add 100 to the product.
The algebraic expression would be as follows:
4x + 100

Question (5):
Assume that the number is x.
We want to get: </span><span>the product of 3 and the sum of 11 and x
This means that we would first add 11 to the number x and then multiply the result by 3
The algebraic expression would be as follows:
3(11+x)

Question (6):
Assume that the number is x.
We want to get: </span><span>four times the square of x increased by five times x
This means that:
i- We would square the x first
ii- multiply the result from step i by 4
iii- multiply 5 by x
iv- add the result from step ii to the result from step iii
The algebraic expression would be as follows:
4x^2 + 5x

Question (7):
Assume that the number is x.
We want to get: </span><span>23 more than the product of 7 and x
This means that we would multiply x by 7 and then add 23 to the product
The algebraic expression would be as follows:
7x+23

Hope this helps :)</span>
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Answer:

5x+3x=8x

8x = 32

x=32/8 = 4

boys are 4 x 5 = 20

girls are 4 x 3 = 12

Step-by-step explanation:

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Paul is running Tennis shop. He sells balls and rackets. Rackets (R) cost $1.20 each and Balls (B) cost $2:0 each. At the end of
Rus_ich [418]

The system of equations that represent the situation are 1.20R + 2B = 70, and R + B = 90.

<h3>What are the system of equations?</h3>

The system of equations are sets of equations that have to be solved simultaneously in order to determine their required values. They are often referred to as simultaneous equations.

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What is the answer? <br> Plzz answer fast! <br> I’ll put you in brainliest.
Olenka [21]

Answer:

No they are not equivalent

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Which of the following is NOT an arithmetic sequence?
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Answer:

2, 4, 8, 16, 32

Step-by-step explanation:

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Mara's family is driving to her grandmothers' house. The family travels 239.4 miles between the hours of 9:10 a.M. To 1:40 p.M.
anzhelika [568]

Answer:

53.2 mph

Step-by-step explanation:

Mara's family travels 239.4 miles between the hours of 9:10 a.m. to 1:40 p.m.

1:40 p.m. is 13:40.

Thus, they traveled for

13 hours 40 minutes - 9 hours 10 minutes = 4 hours 30 minutes

that is 4\frac{1}{2}=4.5 hours.

Use formula:

D=r\cdot t,

where

D = distance

r = rate

t = time.

In your case,

D = 239.4 miles

t = 4.5 hours

Hence,

239.4=4.5r\\ \\r=\dfrac{239.4}{4.5}=53.2\ mph

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3 years ago
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