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Zolol [24]
1 year ago
8

Miss Jones attended a a southern living home party she purchased a vase which cost $34.99The shipping charge was three dollars a

nd 8.25% sales tax was paid on the subtotal which included the shipping charge how much did you pay for the vase
Mathematics
1 answer:
jenyasd209 [6]1 year ago
8 0
The answer is $41.12
(Work is below)

First add the total of the vase and shipping-
Vase:                    $34.99
Shipping:              $   3.00
                         +__________
                             $37.99

Then calculate sales tax by multiplying $37.99 x 0.0825 -
Above Total:         $37.99
Sales Tax Rate:    $   0.0825
                         x__________
                              $  3.1341
You round down because ^ less than five (five or above you would round up)

Sales Tax:             $3.13

Then you add the sales tax to the above total

Vase:                    $37.99
Shipping:              $  3.13
                         +__________
                             $41.12
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Graph the line y = kx +1 if it is known that the point M belongs to it: M(1,3)
tigry1 [53]

Answer:

M(x,y) = (1,3) belongs to the line y = 2\cdot x +1. Please see attachment below to know the graph of the line.

Step-by-step explanation:

From Analytical Geometry we know that a line is represented by this formula:

y=k\cdot x + b

Where:

x - Independent variable, dimensionless.

y - Dependent variable, dimensionless.

k - Slope, dimensionless.

b - y-Intercept, dimensionless.

If we know that b = 1, x = 1 and y = 3, then we clear slope and solve the resulting expression:

k = \frac{y-b}{x}

k = \frac{3-1}{1}

k = 2

Then, we conclude that point M(x,y) = (1,3) belongs to the line y = 2\cdot x +1, whose graph is presented below.

3 0
1 year ago
There are 53 students on the Jackson Middle School basketball teams. The number of 8th graders is 15 fewer than three times the
pshichka [43]

Answer:

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

Step-by-step explanation:

Let

x ----> the number of 7th students on the Jackson Middle School basketball teams

y ----> the number of 8th students on the Jackson Middle School basketball teams

we know that

There are 53 students on the Jackson Middle School basketball teams

so

x+y=53 -----> equation A

The number of 8th graders is 15 fewer than three times the number of 7th graders

so

y=3x-15 ----> equation B

substitute equation B in equation A

x+(3x-15)=53

solve for x

x+3x=53+15\\4x=68\\x=17

Find the value of y

y=3(17)-15=36

therefore

The number of 7th students on the Jackson Middle School basketball teams is 17 and the number of 8th students on the Jackson Middle School basketball teams is 36

6 0
1 year ago
Read 2 more answers
Estimate how many 12 inch rulers will be about the same length as a bike
navik [9.2K]

Answer:

So that means length of the bike is approx 5.7 rulers.

Step-by-step explanation:

the question says to estimate how many 12-inch rulers will be about the same length as a bike. In other words we have to measure the length of bike by in terms of ruler like 3 ruler length or 5 rular length etc.

Type of bike is not mentioned so i'm going to use bicyle.

From internet I found that approx lenght of a bike ( bicycle) is = 68 inches.

Given that 1 ruler = 12 inches

So number of rulers that can fit into 68 inches can be found by dividing 68 by 12

68/12 = 5.7

8 0
2 years ago
Which is the simplified form of x Superscript negative 12?
chubhunter [2.5K]

Answer:

C.\frac{1}{x^{12}}

Step-by-step explanation:

We are given that an expression

(x)^{-12}

We have to find the simplified form of given expression.

We know that

a^{-b}=\frac{1}{a^b}

Using the property then we get

x^{-12}=\frac{1}{x^{12}}

Hence, the simplified form of x^{-12} is given by

\frac{1}{x^{12}}

Option C is true.

5 0
2 years ago
Read 2 more answers
An entry level web developer's annual pay is $55,640 based on 52 weeks per year. Due to the economy, his company is having to cu
katen-ka-za [31]

Answer:

Reduction = \$3300

Step-by-step explanation:

Given

Pay\ for\ 52\ weeks = \$55,640

Required

Determine the reduction when paid is reduced to 49 weeks

First, we need to determine the weekly pay

Weekly\ Pay = \frac{\$55,640}{52}

Weekly\ Pay = \$1070

Next, is to determine the pay for 49 weeks;

Pay = Weekly\ Pay * 49

Pay = \$1070 * 49

Pay = \$52430

Subtract the 49 week pay from 52 weeks pay to get the payment reduction;

Reduction = \$55640 - \$52340

Reduction = \$3300

5 0
1 year ago
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