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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:

A

Step-by-step explanation:

8 0
2 years ago
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Which statements about the factors of the terms in the expression 20 a + 15 a b + 24 b are true? Select three options.
ExtremeBDS [4]

Answer:

Following are the true statements

2. The factors common to 20a and 15ab are 1, 5, and a.

3. The factors common to 20a and 24b are 1, 2, and 4.

5. The GCF of the expression is 1

Step-by-step explanation:

Expression is  20a + 15ab + 24b

Now lets have a look at each of the options provided!

1. The factors common to 20a and 15ab are 1, 5, a, and b.

False

As you can see there is no b in 20a term only 1,5,a are common hence it is false.

2. The factors common to 20a and 15ab are 1, 5, and a.

True

The terms 20a and 15ab are divisible by 1,5,a hence it is true.

3. The factors common to 20a and 24b are 1, 2, and 4.

True

The terms 20a and 24b are divisible by 1,2,4 hence it is true

4. The GCF of the expression is ab.

False

20a + 15ab + 24b

As you can see ab is not common in all of the terms hence it cannot be greatest common factor

5. The GCF of the expression is 1

True

Factor of 20 are: 2,2,5,1

Factor of 15 are: 3,5,1

Factor of 24 are: 2,2,2,3,1

As you can see the only common factor among all the terms is 1 hence GCF is 1.

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3 years ago
Find 54 is 90% of what number
aleksandrvk [35]
54=.9x Solve for x. x=54/.9=60
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2 years ago
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Y = –5x + 30<br> x = 10<br> What is the solution to the system of equations?
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Answer:

x=10, y = -20

Step-by-step explanation:

y = –5x + 30

x = 10

Substitute the second equation into the first

y = –5*10 + 30

y = -50 +30

y = -20

x=10, y = -20

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What is the value of the expression 8 cubed?
Ierofanga [76]

Answer:

512

Step-by-step explanation:

8*8*8

64*8

512

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2 years ago
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