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sweet [91]
1 year ago
6

Use the distributive property to simplify 4(2p+4q+6)

Mathematics
2 answers:
cestrela7 [59]1 year ago
8 0
<span>4(2p+4q+6)

You need to multiply 4 by each variable in the parentheses.
(4*2p) + (4*4q) + (4*6)

8p + 16q + 24 is the answer.</span>
Evgen [1.6K]1 year ago
8 0

Answer:

The simplified form of the provided expression is: 8p+16q+24

Step-by-step explanation:

Consider the provided expression.

4(2p+4q+6)

Distributive property:

a(b+c)=ab+ac

Now use the distributive property to simplify the provided expression.

Distribute 4 inside the parentheses.

4\times 2p+4\times 4q+4\times 6

8p+16q+24

Hence, the simplified form of the provided expression is: 8p+16q+24

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A. The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.
erastovalidia [21]

Answer:

The average yearly salary of  the architect is <u>$62,000</u> and the lawyer is <u>$100,000</u>.

Step-by-step explanation:

Given:

The average yearly salary of a lawyer is $24 thousand less than twice that of an architect.

Combined, an architect and a lawyer earn $ 210 thousand.

Now, to find the average yearly salary of  an architect and a lawyer.

Let the average yearly salary of  an architect be x.

So, the average yearly salary of  the lawyer = 2x-24,000.

Combined, architect and lawyer earn = \$210,000.

Now, to get the average salary of the architect and lawyer:

x+(2x-24000)=210000

x+2x-24000=210000\\\\3x-24000=210000

<em>Adding both sides 24000 we get:</em>

3x=186,000\\\\Dividing\ both\ sides\ by\ 3\ we\ get:\\\\x=62000.

<u>The average salary of architect = $62,000.</u>

Now, to get the average salary of lawyer by substituting the value of x:

2x-24000\\\\=2(62000)-24000\\\\=124000-24000\\\\=\$100,000.

<u>The average salary of lawyer = $100,000.</u>

Therefore, the average yearly salary of  the architect is $62,000 and the lawyer is $100,000.

4 0
2 years ago
A researcher wants to develop a product for families who have small children. He needs to determine if there is a nationwide int
krok68 [10]

Answer:

b

Step-by-step explanation:

3 0
1 year ago
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Gwendolyn francis is interested in buying a bond that pays $70 annually. the current price of the bond is $800. what is her curr
serg [7]
Below are the choices that can be found from other sources:

<span>A. 4%
B. 7%
C. 8%
D. 3.5%
E: 8.75%
</span>
Below is the solution;

<span>Current yield = Annual interest amount/Current price —t 70/800 = .0875 = 8.75%. 
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Thank you for posting your question here at brainly. I hope the answer will help you. Feel free to ask more questions here.
4 0
1 year ago
Lyman Company returned $750 of goods it had purchased from another company. The original invoice was for $4,200, 3/10, n/30. Wha
Scilla [17]
Calculation: 
<span>3/10   </span><span><span>             3---------></span>3% discount</span><span><span>     
                      10--------></span>the days in the discount period, the company has 10 days to pay the bill in full.</span> 

Therefore

Lyman pays the balance within the discount period

 ($4,200 – $750) x .03 = $103.50

the discount is <span>$103.50</span>

4 0
1 year ago
Triangle J K L is shown. Angle K L J is a right angle. The length of hypotenuse K J is 10.9 centimeters and the length of L J is
scZoUnD [109]

Answer:

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

Step-by-step explanation:

From the given triangle JKL;

Hypotenuse KJ = 10.9

Length LJ is the opposite = 8.9cm

The angle LKJ is the angle opposite to side KJ = x

Using the SOH CAH TOA Identity;

sin theta = opp/hyp

sin LKJ = LJ/KJ

Sinx = 8.9/10.9

x = arcsin(8.9/10.9)

sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x

7 0
1 year ago
Read 2 more answers
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