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trapecia [35]
3 years ago
10

Solving a System of Linear Equations - Applications - Item 92238

Mathematics
1 answer:
Viktor [21]3 years ago
7 0

Answer:

$132

Step-by-step explanation:

1) In this system of eqn x represents the price of washing cars and y represents the price of washing SUVs

2) From the given eqn,

y = (84 - 4x)/2

and

y = (126 - 3x)/5

equating both the equation,

(84 - 4x)/2 = (126 - 3x)/5

=> 210 - 10x = 126 - 3x

=> 7x = 84

=> x = 12

=> y = (84 - 48)/2 = 18

Hence the co-ordinate of intersection will be (12,18)

3) The total cost of 1 car and 1 suv = x + y = 12 + 18 = $ 30

4) The total earning of hour 3

= 5x + 4y

= 5.12 + 4.18

= 60 + 72

= $ 132

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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
Write the standard equation of the circle with the given Center and radius:
Kipish [7]

9514 1404 393

Answer:

  B.  (x +4)² +(y +5)² = 64

Step-by-step explanation:

The equation for a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

Filling in your given values, you have ...

  (x -(-4))² +(y -(-5))² = 8²

Simplifying, you get ...

  (x +4)² +(y +5)² = 64 . . . . . . . matches choice B

_____

<em>Additional comment</em>

As you learn more different "standard form" equations, it may be helpful to keep a list, along with reminders of what the variables stand for and how the equation is used.

5 0
2 years ago
The probability that Jessica will strike oil is 18%. If she drills 14 wells, find the probability that she will make exactly 4 s
barxatty [35]

Answer:

19 678932

Step-by-step explanation:

i am not sure

7 0
2 years ago
Please help me find the value of x the answer must be exact
jenyasd209 [6]

Answer:

x=11

Step-by-step explanation:

This is a 45°-45°-90° triangle. The two legs are the same length, and the hypotenuse is that length times the square root of two:

leg=x\\hypotenuse=x\sqrt{2}

Therefore, the value of x is 11.

You can double-check using the sine ratio:

sineX=\frac{opposite}{hypotenuse}

Insert the values:

sin45=\frac{x}{11\sqrt{2} }

Insert the equation into a calculator:

x=11

:Done

*It's important to know that, when working with trigonometry ratios, the hypotenuse is never considered the adjacent or opposite side, and the 90° angle is never used in the ratios.

6 0
3 years ago
0.04 is 1/10 of what number
bulgar [2K]
If you would like to calculate 1/10 of what number is 0.04, you can do this using the following steps:

1/10 of what number is 0.04
1/10 * x = 0.04     /*10
x = 0.04 * 10
x = 0.4

Result: 1/10 of 0.4 is 0.04.
5 0
3 years ago
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