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jek_recluse [69]
3 years ago
7

Matt thinks of a number. when he multiplies it by 5 and adds he gets the same as when he multiplies it by 6 and subtracts 5. wha

t is this mystery number?
Mathematics
1 answer:
krek1111 [17]3 years ago
3 0
The number is 10.
5*10=50
50+5=55
6*10=60
60-5=55
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JJ decides to leave a tip that is 15% of the original price for his meal. How much should he leave as tip for the $5.50 cheesebu
Lady_Fox [76]

Answer: $9.20

Step-by-step explanation: To get the answer, you add both the cost and multiply it by .15. Then you add the product to the number you got adding the cost of the food.

4 0
3 years ago
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I need an answer ASAP!!! Tyyyy
patriot [66]

Part A

x = amount of money she starts with

(4/9)x = cost of the dress

(5/9)x = amount of money leftover after buying the dress

note that 4/9 and 5/9 add to 1 to represent 100% of her money

(3/4)*(5/9)x = (15/36)x = (5/12)x = amount spent on shoes

We see that she spent 5/12 of her original amount of money on shoes.

-----------------------

We can look at a more concrete example if the previous section does not make sense.

Let's multiply the denominators 9 and 4 to get 9*4 = 36. Doing this trick will mean that the later steps won't involve decimal values.

Let's say she starts off with $36

Multiply that with 4/9 to get (4/9)*36 = 16. So in this hypothetical situation, the dress costs $16 and she's left with 36-16 = 20 dollars.

Multiply that 20 by 3/4 to get (3/4)*20 = 15

In this situation, the shoes cost $15

We'll then divide the cost of the shoes (15) over the original amount of money she started with (36)

15/36 = (3*5)/(3*12) = 5/12

-----------------------

<h3>Answer:  5/12</h3>

=======================================================

Part B

From the first section in part A, we found that:

  • (4/9)x = amount of money spent on the dress
  • (5/12)x = amount of money spent on shoes

Add those two expressions

(4/9)x + (5/12)x = (16/36)x + (15/36)x = (31/36)x

This indicates that buying the dress and shoes will cost (31/36)x dollars, where x is the original amount of money Jing has to start with.

The amount left over is (5/36)x because 5/36 adds with 31/36 to get 1.

Take 1/3 of this to get:

(1/3)*(5/36)x = (5/108)x

Then set this equal to 18 and solve for x

(5/108)x = 18

5x = 18*108

5x = 1944

x = 1944/5

x = 388.80

--------------------

Let's check the answer

If she starts with 388.80 dollars, then the dress costs (4/9)*388.80 = 172.80

She's left with 388.80 - 172.80 = 216 dollars after buying the dress.

She then spends the remaining 3/4 of that on shoes. So (3/4)*216 = 162 dollars is spent on the shoes.

Jing now has 216 - 162 = 54 dollars left over.

1/3 of which is spent on the shoe bag, meaning it costs (1/3)*54 = 18 dollars

This confirms our answer.

--------------------

<h3>Answer:  $388.80</h3>
8 0
2 years ago
An amateur soccer ball is priced at
Oduvanchick [21]

Answer: $26

Step-by-step explanation:

   If $19.50 is 3/4, we need to find 4/4.

3/4 -> 0.75

4/4 -> 1

    We will set up a proportion and solve.

\frac{19.5}{0.75} =\frac{x}{1}

19.5 = 0.75x

26 = x

         The professional ball is $26.

4 0
1 year ago
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Which of the following numbers is rational but not an integer? 3, 0, -4.3, -9
skad [1K]

-4.3 is rational but not an intiger

4 0
2 years ago
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9x + Зу = -3<br> 2х - у = -4
Irina18 [472]
Answer: (-1, 2)

explanation:

3(2x-y=-4)
6x-3y=-12

9x+3y=-3
6x-3y=-12

15x=-15
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2(-1) - y = -4
-2-y=-4
-y=-2
y=2
5 0
2 years ago
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