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AnnZ [28]
3 years ago
11

Solve for x. 8(x + 1) - 31x + 4) = 7(2 - x)

Mathematics
1 answer:
Alex_Xolod [135]3 years ago
3 0

Answer: -8.5625

Step-by-step explanation:

Use the distributive property....   ex: 8(x+1)= 8x+1 (by multiplying both by 8)

8x+1-31x-124=14-7x

Combine like variables

-23x-123=14-7x

Bring like variables to the same side of the equation by changing the sign(+,-)

-16x=137

Divide -16 by both sides

x=-8.5625

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What is the distance between the sandbox and garden
elena55 [62]
For this case, the first thing we must do is apply the law of the sine.
 We then have the following expression:
 sine (65) / x = sine (104) / 36
 Clearing the value of x we have:
 x = (sine (65) / sine (104)) * (36)
 x = 33.6 feet
 Answer:
 
The distance between the sandbox and garden is:
 
x = 33.6 feet
6 0
3 years ago
Which property allows you to write the expression
umka2103 [35]

Answer:

the associative property

Step-by-step explanation:

the associative property allows the numbers to add regardless of how you group the numbers

8 0
3 years ago
HELP ASAP Keiko divided 5 cups of milk into 1/4 cup portions. How many 1/4 cup portions did Keiko have???
Anarel [89]

Answer:

20

Step-by-step explanation:

Given data

Number of cups= 5 cups

Number of portions= 1/4 portions

Hence the number of 1/4 portion can be gotten as

=5/1/4

=5*4/1

=20

Therefore, the number of 1/4 portions is 20

7 0
3 years ago
Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax
Alisiya [41]

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

8 0
3 years ago
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liubo4ka [24]

Answer:

the probability is 50% or 1/2 (equally likely and equally unlikely)

That is because it does not state the amount of socks inside the draw; meaning the answer has to be theoretical.

If the probability is the same, than it has to equal to 100

so we can conclude that 1/2 of the drawer is blue socks and 1/2 is white socks.

5 0
3 years ago
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