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Maslowich
3 years ago
12

Jenna and Richie go shopping at the mall to buy their mom a present they buy a scarf for $12.45 and a necklace for $35.65 their

state tax charges 8% sales tax how much tax do Jenna and Richie pay on the gifts they bought round your answer to the nearest cent
Mathematics
1 answer:
padilas [110]3 years ago
5 0

Answer:

The tax Jenna and Richie pay on the gifts is <u>$3.85</u>.

Step-by-step explanation:

Given:

Cost of scarf = $12.45.

Cost of necklace = $35.65.

State tax charges sale tax = 8%.

Now, to find the sales tax paid on the gifts.

So, adding the price of the gifts:

12.45+35.65=48.10

Thus, the total amount of the gifts = $48.10.

Now, getting the sales tax the state charges:

8\%\ of\ 48.10

=\frac{8}{100}\times 48.10

=0.08\times 48.10

=3.848

<em><u>The tax nearest to cent = $3.85</u></em>

Therefore, the tax Jenna and Richie pay on the gifts is $3.85.

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If theta is a positive acute angles find theta when <br>2 sin^2 theta + 3 cos theta =3​
MArishka [77]

Answer:

Theta = 0, 60 degrees.

Step-by-step explanation:

2 sin^2 theta + 3 cos theta = 3​

Using the identity sin ^2 theta = 1 - cos^2 theta :

2(1 - cos^2 theta) + 3 cos theta  = 3

2 - 2cos^2 theta) + 3 cos theta  = 3

2 cos^2 theta - 3 cos theta   + 3 - 2 = 0

2 cos^2 theta - 3 cos theta   + 1 = 0

(2 cos theta - 1)(cos theta - 1) = 0

cos theta = 1/2 , cos theta = 1

Theta = 60 degrees or theta = 0

6 0
3 years ago
The following equations are given:
jarptica [38.1K]

The solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3 and the solutions in part b hold for equation 4

<h3>Solving the variables using equations 1 and 2</h3>

There are three variables in the system

To solve the three variables, there must be at least three equations in the system of equations

Hence, the variables cannot be solved because the number of equations is not enough

<h3>Solving the variables using equations 1, 2 and 3</h3>

We have:

3x + z + y = 8

5y - x = -7

3z + 2x - 2y = 15

Make x the subject in (2)

x = 5y + 7

Substitute x = 5y + 7 in (1) and (3)

3(5y + 7) + z + y = 8

15y + 21 + z + y = 8

16y + z = -13

3z + 2(5y + 7) - 2y = 15

3z + 10y + 14 - 2y = 15

3z + 8y = 1

Multiply 16y + z = -13 by 3

48y + 3z = -39

Subtract 3z + 8y = 1 from 48y + 3z = -39

48y - 8y + 3z - 3z = -39 - 1

40y = -40

Divide by 40

y = -1

Substitute y = -1 in x = 5y + 7

x = 5(-1) + 7

x = 2

Make z the subject in 16y + z = -13

z = -13 - 16y

Substitute y = -1

z = -13 - 16(-1)

z = 3

Hence, the solution to the variables using equations 1, 2 and 3 is x = 2, y = -1 and z = 3

<h3>Can the solution work for equation 4?</h3>

We have:

4x + 5y - 2z = -3

Substitute x = 2, y = -1 and z = 3

4(2) + 5(-1) - 2(3) = -3

Evaluate

-3 = -3 --- this is true

Hence, the solutions in part b hold for equation 4

Read more about system of equations at:

brainly.com/question/12895249

#SPJ1

<u>Missing part of the question</u>

The following equations are given:

Equation #1: 3x + z + y = 8

Equation #2: 5y - x = -7

Equation #3: 3z + 2x - 2y = 15

Equation #4: 4x + 5y - 2z = -3

3 0
2 years ago
Deborah bought a yard of ribbon for $14.76. How much did Deborah pay per inch? (1 yard = 3 fee
natta225 [31]

Answer:

41 cents

Step-by-step explanation:

because their are 36 inches in 1 yard i divided 14.76 by 36 to get the amount she payed per inch.

8 0
3 years ago
Judith is planning a party for her younger brother. She has 36 prizes and 24 balloons. What is the greatest number of children w
jeka94
24 so each child can get at least one balloon
6 0
3 years ago
Read 2 more answers
A triangle has two sides measuring 16 and 21. The included angle is 116°. What is the length of the side opposite the 116° angle
aleksley [76]

Answer: A. 31.5

Step-by-step explanation:

Using law of cosine because it is side angle side

a=16

b=21

angle = 116

c^2=a^2+b^2-2ab cosC, let C be the angle given

c^2=(21)^2+(16)^2-2(16)(21) cos(116)

c^2=441+256-672 cos(116)

i used a ti-89 and answered the right side and got

(you can find a ti-89 simulator online, but for problems like this make sure it is in degree mode)

991.585

c^2=991.585

take square root of both sides

=31.4894, which if you round it up it would be 31.5, so the answer would be A

therefore:

a=16

b=21

c=31.5

4 0
4 years ago
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