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hichkok12 [17]
3 years ago
8

A set of two or more equations with the same variables is called a system of equations. When you set the

Mathematics
1 answer:
goldenfox [79]3 years ago
8 0

Answer:

Both pools will have the same amount of water after 11 minutes and 32 seconds.

Step-by-step explanation:

Since Team Sunshine is filling an inflatable kiddie pool from a garden hose, and the pool has 30 gallons in it and Team Sunshine is adding 8 gallons per minute with a garden hose, while next door, Team Breeze's pool is already filled with 180 gallons of water, and they are emptying the pool at 5 gallons per minute with buckets, to determine how long it will take until both pools have the same amount of water, the following calculation must be performed:

Team Sunshine:

30 + (8X) = T

30 + 8x10 = 110

30 + 8x11 = 118

30 + 8x12 = 126

30 + 8x11.5 = 122

30 + 8x11.6 = 122.8

30 + 8x11.55 = 122.4

30 + 8x11.54 = 122.3

Team Breeze:

180 - (5X) = T

180 - 5x11 = 125

180 - 5x12 = 120

180 - 5x11.5 = 122.5

180 - 5x11.6 = 122

180 - 5x11.55 = 122.25

180 - 5x11.54 = 122.3

1 = 60

0.54 = X

0.54 x 60 = X

32.4

Thus, both pools will have the same amount of water after 11 minutes and 32 seconds.

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In a store the number of dogs is 12 times greater than 3 times of cats. If there are 21 dogs in the store, how many cats are in
user100 [1]

Answer:

If you really meant that the number of dogs is 12 greater than 3 times the number of cats then:

3 cats

Step-by-step explanation:

21= number of dogs

c = number of cats

21 = 12 + (3c)

3c = 9

c = 3

8 0
2 years ago
Find x and decide if that side (with the x) is an Altitude
irga5000 [103]

Answer:

  1. b = 15
  2. c = 51
  3. c = 100
  4. b = 25.75

Step-by-step explanation:

Using the Pythagoras theorem equation:

c^{2}=a^{2}+b^{2}

Where 'c' is the hypotenuse and 'b' and 'a' the sides of the right triangle.

1) Here c = 17, a = 8 and b = ?

Then, using the above equation we can find the side b.

17^{2}=8^{2}+b^{2}

b=\sqrt{225}

b=15

2) Here a = 24, b = 45 and c = ?  

c=\sqrt{24^{2}+45^{2}}

c=51

3)  Here a = 28, b = 96 and c = ?

c=\sqrt{28^{2}+96^{2}}    

c=100

4)  Here a = 17, b = ? and c = 28

b=\sqrt{28^{2}-11^{2}}  

b=25.75

Just in the 4 case x is an altitude.

I hope it helps you!

         

3 0
3 years ago
16+5x=8x-5 What would the variable be?
11111nata11111 [884]
16+5x =8x-5

Reorder the terms
16+5x = -5+8x
Solving for variable for x

Move all terms containing x to the left, all other terms to the right.
Add -8x to each side of the equation.
16+ -3x = -5 + 8x + -8x

Combine like terms: 5x + -8x=-3x
16+-3x = -5 + 8x + -8x

Combine like terms: 8x + -8x = 0
16+-3x = -5 + 0
16+ -3x = -5

Add -16 to each side of the equation
16+-16 + -3x = -5 + 16

Combine like terms: 16+ -16 = 0
0 + -3x =-5 + -16
-3x = -5 + -16

combine like terms: -5 + -16 = -21
-3x = -21
Divide each side by -3
x=7


7 0
3 years ago
You design a new app for cell phones. Your revenue for x downloads is given by f(x) = 3x Your profit
Snowcat [4.5K]

Answer:

p = 2.7x - 20

p(90) = $223

Step-by-step explanation:

revenue → f(x) = 3x  ,where x is the number of downloads.

the statement “Your profit p is $20 less than 90% of the revenue for x downloads”

<u><em>means</em></u>

p=90\% f\left( x\right)  -20

<u><em>means</em></u>

<u><em></em></u>p=\frac{90}{100} \times f\left( x\right)  -20

<u><em>means</em></u>

p=\frac{9}{10} \times (3x)  -20

<u><em>means</em></u>

p=\frac{9}{10} \times (3x)  -20

<u><em>means</em></u>

p=2.7x -20

………………………………

the profit for 90 downloads :

= p(90)

= 2.7×(90) - 20

= $223

5 0
2 years ago
Can someone please help me with this
tatiyna

Answer: -124

Step-by-step explanation: -83-41

subtract and it suppose to give you -124

7 0
3 years ago
Read 2 more answers
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