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Lostsunrise [7]
3 years ago
7

Jasmine would like to purchase a game system that normally cost $210 but is on sale for 35% off the regular price. Jasmine earns

$6.90 per hour at her job and plans to save 1/2 of her total earnings to purchase the game system. Will jasmine have enough money for the game system after working 50 hours?
Mathematics
1 answer:
Rainbow [258]3 years ago
3 0
35% off of 210 is 64.05, which will bring the total down to $145.95.
If Jasmine works 50 hours, she will earn $172.50.
Yes, she will have enough money to purchase the game.
Hope this Helps!!

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One canned juice drink is 15​% orange​ juice; another is 10​% orange juice. How many liters of each should be mixed together in
Vaselesa [24]

Answer:

3 liters of 15% and 2 liters of 10%

Step-by-step explanation:

You can set up a table that says the number of liters multiplied by the percent juice equals total percent of juice in L liters:

              L      *      % juice    =         %L

That is the main set up for the table.  We will put in values for the percent juice right away, because they were given to us.  Remember that percentages need to be expressed as decimals in order to use them in equations.

              L     *       % juice       =        %L

15%                          .15

10%                          .10

___________________________________

13%                           .13

Easy enough so far.  We know that the 15% juice canned juice contains 15% juice.  No secrets there at all.  We also made a row for the mixture that needs to be 13% juice.  Next we know that the total amount of the mixture has to be 5 liters.  If we mix one juice with another and the total has to be 5 liters, then we have an unknown amount of one juice, and 5 - that unknown amount of the other juice.  Filling in we have:

             L      *      % juice       =       %L

15%        x                   .15

10%      5 - x                .10

______________________________

13%         5                   .13

Our equation tells us that we have to multiply the L times the % to fill in that last column:

             L      *      % juice      =       %L

15%        x     *          .15           =      .15x

10%      5-x    *          .10          =     .10(5 - x)

__________________________________

13%         5      *        .13           =     .65

We are told from the problem we are adding the 2 juices to get the mixture, so we will add the rows in the last column and set it equal to .65:

.15x + .10(5 - x) = .65

Let's multiply everything by 100 to get rid of all those decimals:

15x + 10(5 - x) = 65

Distributing and combining like terms:

15x + 50 - 10x = 65 and

5x = 15

x = 3

That means that we need 3 liters of the canned juice that is 15% juice.

5 - 3 = 2...and 2 liters of the canned juice that is 10% juice to get the correct number of liters of 13% juice.

6 0
3 years ago
Given: AB=BC,AM=MC BM ⊥AC , EF⊥BC Prove: EC/AB = FC/MA
kenny6666 [7]

Answer:

<em>9</em><em>0</em><em> </em><em>degree</em><em> </em><em>EFC</em><em>. </em><em>and</em><em>. </em><em>BMC</em>

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<em>across</em><em> </em><em>ec</em><em>/</em><em>ab</em>

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Jack is using a ladder to hang lights up in his house.he places the ladder 5 feet from the base of his house and leans it so it
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You did not complete your question but I think this is what you are looking for. View the image.

5 0
3 years ago
Find all x and y intercepts of the graph of the function f(x)= 2x^3+6x^2-2x-6
topjm [15]

9514 1404 393

Answer:

  • y-intercept: (0, -6)
  • x-intercepts: (-3, 0), (-1, 0), (1, 0)

Step-by-step explanation:

We notice the first pair of coefficients is the same as the last pair (with the sign changed). This means we can factor by grouping.

  f(x) = (2x^3 +6x^2) -(2x +6)

  f(x) = 2x^2(x +3) -2(x +3)

  f(x) = 2(x^2 -1)(x +3) = 2(x -1)(x +1)(x +3)

The factors are made to be zero when x is 1, -1, or -3.

The x-intercepts are (1, 0), (-1, 0), (-3, 0).

The y-intercept is the constant, -6.

4 0
2 years ago
Melanie's room measures 10 ft by 12 ft. Her rug covers 90 ft². Explain how to determine the percent of floor covered by the rug.
Inessa [10]

\huge \bf༆ Answer ༄

Here's the solution ~

Area of floor is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:10 \times 12

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:120 \: ft {}^{2}

Area covered by rug is ;

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:90 \: ft {}^{2}

So, the percentage of floor covered by rug is ~

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{90}{120}  \times 100

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \: \dfrac{3}{4}   \times 100

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:3 \times 25

{ \qquad{ \sf{ \dashrightarrow}}}  \:  \: \sf \:75  \%

5 0
2 years ago
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