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3 years ago

Solve the equation step by step and find the y value: 1/3(2y+6)=y+4

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

y = -6

Step-by-step explanation:

We are given;

1/3(2y+6)=y+4

We are required to solve for the value of X

First, we open the brackets;

(2/3)y + 2 = y + 4

Combining the like terms

(2/3)y - y = 4-2

Solving for y

(-1/3)y = 2

-y = 6

y = -6

Hence, the value of y is -6

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Montana Company sold merchandise with a retail price of $ 29 comma 000 for cash. Montana Company is required to collect 6 % sta

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Answer:

The total cash received is $30740.

Step-by-step explanation:

Montana Company sold merchandise with a retail price of $ 29,000 for cash. Montana Company is required to collect a 6 % state sales tax.

Therefore, the total cash received from customer = Retail Price + State Sales Tax.

= $29000 + 29000 \times \frac{6}{100}$

= $30740

Hence, the total cash received is $30740. (Answer)

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3 years ago

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2 years ago

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frosja888 [35]

Answer:

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Step-by-step explanation:

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2 years ago

A triangular lot has sides of 215m, 185m, and 125m. Find the measures of the angles at its corners

Vlada [557]

Answer:

The measures of the angles at its corners are $59.1\°,35.4\°,85.5\°$

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

Find the measure of angle A

Applying the law of cosines

$185^{2}= 215^{2}+125^{2}-2(215)(125)cos(A)$

$2(215)(125)cos(A)= 215^{2}+125^{2}-185^{2}$

$cos(A)= [215^{2}+125^{2}-185^{2}]/(2(215)(125))$ $cos(A)=0.513953$

$A=arccos(0.513953)=59.1\°$

step 2

Find the measure of angle B

Applying the law of cosines

$125^{2}= 215^{2}+185^{2}-2(215)(185)cos(B)$

$2(215)(185)cos(B)= 215^{2}+185^{2}-125^{2}$

$cos(B)= [215^{2}+185^{2}-125^{2}]/(2(215)(185))$ $cos(B)=0.81489$

$B=arccos(0.81489)=35.4\°$

step 3

Find the measure of angle C

Applying the law of cosines

$215^{2}= 125^{2}+185^{2}-2(125)(185)cos(C)$

$2(125)(185)cos(C)= 125^{2}+185^{2}-215^{2}$

$cos(C)= [125^{2}+185^{2}-215^{2}]/(2(125)(185))$ $cos(C)=0.0784$

$C=arccos(0.0784)=85.5\°$

3 0

3 years ago

Whick scenario is most likely the one shown on the graph?

serg [7]

Answer:

yes

Step-by-step explanation:

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3 years ago

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