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GaryK [48]
2 years ago
13

Kim saved $250 to buy new clothes for her summer vacation. She found several items she would like to buy, but is trying to decid

e if she has enough money to buy all the items she likes. She found a bathing suit for $35, two pairs of shoes for $15 each and five shirts with an average cost of $17 per shirt. She will have to pay 6% sales tax. If she buys all of the items, how much sales tax will she have to pay?
Mathematics
1 answer:
drek231 [11]2 years ago
8 0

Answer:

She will have to pay $9 as sales tax

Step-by-step explanation:

Total amount with Kim = $250

Bathing suit = $35

Two pairs of shoes = 2 × $15

= $30

Five shirts = 5 × $17

= $85

Cost of items = Bathing suit + Two pairs of shoes + Five shirts

= $35 + $30 + $85

= $150

Sales tax = 6%

Amount of sales tax paid = 6% of $150

= 6/100 × 150

= 0.06 × 150

= $9

Kim will have to pay $9 as sales tax

Total cost of the items = cost of items + sales tax

= $150 + $9

= $159

Kim has enough money to buy all the items she likes

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On a coordinate plane, a triangle has points (negative 5, 1), (2, 1), (2, negative 1).
daser333 [38]

Answer:

Step-by-step explanation:

Given a triangle has points:

(-5,1),(2,1), (2,-1)

Let us label the points:

A(2,1),

B(-5,1) and  

C(2,-1)

To find:

Distance between (−5, 1) and (2, −1) i.e. BC.

Horizontal leg AB and

Vertical leg, AC.

Solution:

Please refer to the attached diagram for the labeling of the points on xy coordinate plane.

We can simply use Distance formula here, to find the distance between two coordinates.

Distance formula :

D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

For BC:

x_2 = 2\\x_1 = -5\\y_2 = -1\\y_1 = 1

BC = \sqrt{(2--5)^2+(-1-1)^2} = \sqrt{63}

Horizontal leg, AC:

x_2 = -5\\x_1 = 2\\y_2 = 1\\y_1 = 1

AC = \sqrt{(2-(-5))^2+(1-1)^2} = 7

Vertical Leg,  AB:

x_2 = 2\\x_1 = 2\\y_2 = -1\\y_1 = 1

AB = \sqrt{(2-2)^2+(-1-1)^2} = 2

5 0
2 years ago
Read 2 more answers
In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation.
Minchanka [31]
<h3><u>Question:</u></h3>

In math class, Sam correctly multiplied 3.625×10-8 by 500, then reported his product in scientific notation. What was the exponent in Sam’s product? A -16 B -10 C -7 D -5

<h3><u>Answer:</u></h3>

OPTION D

The exponent in Sam’s product is -5

<h3><u>Solution:</u></h3>

Given that,

In math class, Sam correctly multiplied 3.625 \times 10^{-8} by 500, then reported his product in scientific notation.

<em><u>To find: exponent in Sam’s product</u></em>

Let us first multiply 500 with 3.625 \times 10^{-8}

3.625 \times 10^{-8} \times 500 = 1812.5 \times 10^{-8}

Then Sam has reported this answer in scientific notation

Lets understand what is scientific notation of any number.

Scientific notation is a way of representing number between 1 and 10 incluing 1 and excluding 10 multiplied by appropriate power of 10.

Let us rewrite the Sam's answer in scientific notation

<em><u>The format for writing a number in scientific notation is:</u></em>

(first digit of the number) followed by (the decimal point) and then (all the rest of the digits of the number), times (10 to an appropriate power).

In 1812.5 \times 10^{-8} , we move the decimal 3 times to left side

Since the decimal is moved left side, we multiply by 10^3

1812.5 \times 10^{-8} = 1.8125 \times 10^3 \times 10^{-8} \\\\1812.5 \times 10^{-8} = 1.8125 \times 10^{-5}

Exponent is a quantity representing the power to which a given number or expression is to be raised

So in 1.8125 \times 10^{-5} exponent is -5

5 0
2 years ago
200 students attend a school which offers French and History. 10% of those who take History also take French and 4 times as many
SIZIF [17.4K]

Answer:   P(hist& french)=16/200=0.08

Step-by-step explanation:

To find the required probability we have to know what is the number of students that take both History and French ( Intersection of 2 circles in Venn diagram)

1. Lets find the number of students that take History or French or both.

We know that 8% from 200 take neither History or French. So number or students who take History or French or both is 200-200*0.08=184

2. Let number of students that takes French (or both Fr+Hist)=x (left circle)

So number of students that takes History (or both Fr+Hist)=4x (right circle)

So number of students that take both French+History= 10% from 4x or

0.1*4x=0.4x (circles'  intersection)

3. Now we have the equation as follows:

x+4*x-0.4*x = 184

4.6*x=184

x=40 students takes French (or both French+ History)

4*x= 40*4=160 students takes History (or both French+ History)

10% from 160 =0.1*160=16 students takes both History and French

P(hist& french)=16/200=0.08

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2 years ago
Liam had \$250$250dollar sign, 250. Then, he and his classmates bought a present for their teacher, evenly splitting the \$p$pdo
Nostrana [21]

Answer: 250- 9/24

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Step-by-step explanation:

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3 0
2 years ago
A polygon is graphed on a coordinate grid with (x,y) representing the location of a certain point on the polygon. the polygon is
nasty-shy [4]

Answer: D. if a is greater than 1, the image of the polygon is smaller than the polygon

Step-by-step explanation: MARK ME BRAINLIEST!!!!

5 0
2 years ago
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