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Gnom [1K]
3 years ago
7

Summer spent $55.60 on clothes before sales tax. If sales tax is 7.5%, what did Summer spend with tax included?  *Add Explanatio

n If U Can*
Mathematics
1 answer:
vampirchik [111]3 years ago
3 0
$59.77. Turn the percent into a decimal by moving the decimal to the left two places (7.5 to 0.075). Then multiply the new decimal by the cost (55.60×0.075=4.17). 4.17 would be the total sales tax, so then add it to the price (55.77+4.17=59.77). Hope that helped.
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A meter stick casts a shadow 2.4 m long at the same time a flagpole casts a shadow 9.7 m long. How tall is the flagpole
Luda [366]
The first thing we are going to do is draw a diagram of the situation to help us to solve the situation.
We an draw tow similar triangle between the length of the shadows and the height of the stick and the pole.
Since <span>meter stick has a length of 1 meter, the height of our smaller triangle is 1 meter. Let </span>h be height of of the pole. Since both triangles are similiar we can establish a proportion between their corresponding sides and solve for h:
\frac{h}{1} = \frac{9.7}{2.4}
h=\frac{9.7}{2.4}
h=4.04

We can conclude that the pole is 4.04 meters tall. 

8 0
3 years ago
A private jet flies the same distance in 8 hours that a commercial jet flies in 7 hours. If the speed of the commercial jet was
mamaluj [8]

Solving a system of equations, we can see that:

  • Speed of the private jet: 168 mi/h
  • Speed of the commercial jet: 192mi/h

<h3>How to find the speeds of each jet?</h3>

Let's define the variables:

  • P = speed of the private jet.
  • C = speed of the commercial jet.

With the given information, we can write:

P*8h = D

C*7h = D

C = 2*P - 144mi/h

So we have a system of 3 equations, where D is the distance in the problem.

With the first and second equations we can write:

P*8h = D = C*7h

Isolating P, we get:

P = C*(7/8)

Now we can replace that in the last equation:

C = 2*P - 144mi/h

C = 2*C*(7/8) - 144mi/h

And now we can solve that for C.

C - 2*(7/8)*C = - 144mi/h

C*(1 - 14/8) = -144mi/h

C*(8/8 - 14/8) = - 144mi/h

C*(6/8) = 144mi/h

C = (8/6)*144mi/h = 192mi/h

Now that we know the speed of the commercial jet, we can find the speed of the private jet.

P = C*(7/8) = 192mi/h*(7/8) = 168 mi/h

If you want to learn more about systems of equations:

brainly.com/question/13729904

#SPJ1

6 0
2 years ago
Mason wants to buy some pull toys for his dogs. Each toy costs $3. He knows that 1 toy costs $3, 2 toys cost $6, and 3 toys cost
Ainat [17]
1 toy costs $3  (  $3 x 1 = $3)<span>
2 toys cost $6  ( </span> $3 x 2 = $6)<span>
3 toys cost $9  </span>(  $3 x 3 = $9)
4 toys cost $12 ( $3 x 4 = $12)

answer 4 toys will cost $12
5 0
3 years ago
Jenni bakes two rectangular cakes to put on top of each other. Each cake is 9 in wide, 13 in long, and 2 in high. How many squar
omeli [17]

Answer:

Step-by-step explanation:

we will need to find the volume of the frosting

V=l*w*h

V=2(13*2*9)= 468 in^2 of frosting for the cake

3 0
3 years ago
This equation will be in standard form if you subtract 2x2 from both sides and
prisoha [69]

Answer:

The answer is false

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
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