MATHEMATICS MIDDLE SCHOOL

3. If 2p + q = 11 and p + 2q = 13, thenp+q=
(A) 6
(B) 8
(C) 9
(D) 12
(E) 18

Answers

Answer 1
Answer:

Answer:

The correct answer is (B)8.

Step-by-step explanation:

We will first solve the two simultaneous equations for the values of 'p' and 'q' respectively.

EquationNo.1-

2p + q = 11

EquationNo.2-

p + 2q = 13

We will make 'q' the subject in EquationNo.1 and substitute the expression for 'q' into EquationNo.2.

EquationNo.1-

q = 11 - 2p

EquationNo.2-

p + 2 ( 11 - 2p ) = 13

We will solve EquationNo.2 for the value of 'p'.

EquationNo.2-

p + 22 - 4p = 13

p - 4p = 13 - 22

- 3p = - 9

p = - 9 ÷ - 3

p = 3

We will substitute the obtain value for 'p' from EquationNo.2 into EquationNo.1 to find the value of 'q'.

EquationNo.1-

q = 11 - 2 ( 3 )

q = 5

We will substitute the obtained values for 'p' and 'q' from EquationNo.1 and EquationNo.2 into p + q.

= p + q

= 3 + 5

= 8

Therefore:

The correct answer is ( B ) 8.
Answer 2
Answer: Answer:
(C) 9

Step by step:
11-2=9 and it’s asking for both p and q combined so no need to worry about that

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Copy and complete : The expressions 2(8+3) and 2(8)+2(3) are?​

Answers

Answer:

multiplier

Step-by-step explanation:

You get from a distribution. for example 2 (a + b) = (2a) + (2b) which has happened in this problem. It turns out the same if I make a sum of the subsequent parenthesis of a multiplication

Answer:

This is called "Distributive Law "

Step-by-step explanation:

x(y + z) = xy + xz

A metal recycling center pays $41.25 for 75 pounds ofaluminum. Which of the following is another possible amount
the metal recycling center would pay for aluminum?
A. $19.25 for 35 pounds
B. $24.00 for 40 pounds
C. $5.35 for 0.25 pounds
D. $45.45 for 25 pounds

Answers

Answer:

A

Step-by-step explanation:

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Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j, where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Answers

Answer: There are 26 trees which they chop down .

Explanation:

Since we have given that

the number of trees they chop down is given by

b+2c+3j

Where 'b' denotes number of hours Ben spends chopping,

'c' denotes number of hours Cam spends chopping,

'j' denotes number of hours Justin spends chopping.

Now, we have also given that,

Number of hours Ben spends chopping = 8

Number of hours Cam spends chopping = 3

Number of hours Justin spends chopping = 4

Now, we put the value of all these variable in the above expression ,we'll get

8+2* 3+3* 4=8+6+12=26

Hence, there are 26 trees which they chop down .
Substitute the values into the equation...
b = 8 so 8+2c+3j
c = 3 if 8+2(3)+3j or 8+6+3j
j = 4 8+6+3(4) or 8+6+12
Add this all together and you get...
26 trees

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Answers

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Answers

Answer:

The correct answer is that the total amount of insurance coverage on  Twyla Foreman's home is US$ 134,000

Step-by-step explanation:

1. Let's review the information given to solve the question.

Replacement value of Twyla Foreman's home = US$ 167,500

Amount of insurance coverage = 80% of  Twyla Foreman's home replacement value

Amount of insurance coverage = 80% of  US$ 167,500

Amount of insurance coverage = 80% * 167,500

Amount of insurance coverage = 0.8* 167,500

Amount of insurance coverage = 134,000

The correct answer is that the total amount of insurance coverage on  Twyla Foreman's home is US$ 134,000
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