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iogann1982 [59]
3 years ago
15

You have a large container of petrol. You have used 320 quarts of petrol. Eighty percent of the petrol remains. How many quarts

of petrol remain?
Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer:

256 quarts remain.

Step-by-step explanation:

.8x320=256

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If f(x) = x3 - 12x2 + 44x - 48, which of the following is not a factor of f(x)? O (x + 4) O (x - 6) O (x - 2) O (x - 4)​
denis-greek [22]

Answer:

(x + 4)

Step-by-step explanation:

x - 2 = 0, so x = 2

x - 4 = 0, so x = 4

x - 6 = 0, so x = 6

8 0
3 years ago
The number of users on a website has grown exponentially since its launch. After 2 months, there were 90 users. After 4 months,
grigory [225]

Answer:

10(3)^x

Step-by-step explanation:

The function contains the points (2,90) and (4,810). Use the general form y=abx to write two equations:

90=ab^2 and 810=ab^4

Solve each equation for a:

a=90/b^2 and a=810/b^4

Since a=a, set the other sides of the equations equal and solve for b.

90/b2=810/b4

Cross multiply, then divide and simplify as follows:

90b^4=810b^2

b^4/b^2=810/90

b^2=90

b^3

Now, use the value of b and the point (2,90) to find the value of a.

90=a(3^2)

a=10

So, substitute answers in original equation for a final answer of f(x)=10(3)^x.

8 0
3 years ago
Find the volume of the triangular prism.
krok68 [10]
Approximately 673.76
4 0
3 years ago
Please help me solve for x =
Sladkaya [172]

Answer:

x = 13

Step-by-step explanation:

Given that Δ NML and Δ PST are similar right triangles, we can set up the following proportional statement to establish their relationship:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

Cross multiply:

8(x + 2) = 10 (x - 1)

8x + 16 = 10x - 10

Subtract 8x from both sides:

8x - 8x + 16 = 10x - 8x - 10

16 = 2x - 10

Add 10 to both sides:

16 + 10 = 2x - 10 + 10

26 = 2x

Divide both sides by 2:

\frac{26}{2} = \frac{2x}{2}

13 = x

Verify whether x = 13 is the correct value:

\frac{ML}{NM} = \frac{ST}{PS}

\frac{8}{10} = \frac{x - 1}{x + 2}

\frac{8/2}{10/2} = \frac{4}{5}

\frac{x -1}{x+2} =  \frac{13 - 1}{13 + 2} = \frac{12}{15} = \frac{12 / 3}{15 /3} = \frac{4}{5}

This shows the proportional relationship between \frac{ML}{NM} = \frac{ST}{PS}, and that ΔNML and ΔPST are indeed similar right triangles.

Therefore, the correct answer is x = 13.

4 0
3 years ago
Solve the proportions:
IRINA_888 [86]

<u>Answer:</u>

  • 6. 6.75
  • 7. 27
  • 8. 92/17
  • 9. 49

<u>Step-by-step explanation:</u>

<u>- Question 6 -</u>

  • 9/16 = x/12
  • => 16x = 12 x 9
  • => 16x = 108
  • => x = 6.75

Hence, <u>the value of x in this proportion is 6.75.</u>

<h3>_______________________________</h3>

<u>- Question 7 -</u>

  • -3 + x/18 = 12/9
  • => -3/18 + x/18 = 4/3
  • => x/18 = 4/3 + 1/6
  • => x/18 = 8/6 + 1/6
  • => x/18 = 9/6
  • => x = 9/6 x 18
  • => x = 27

Hence, <u>the value of x is 27</u>

<h3>_______________________________</h3>

<u>- Question 8 -</u>

17/15 = 10/2x - 2

=> 17(2x - 2) = 150

=> 34x - 34 = 150

=> 34x = 184

=> x = 184/34

=> x = 92/17

Hence, <u>the value of x is 92/17</u>

<h3>_______________________________</h3>

<u>- Question 9 -</u>

  • x - 16/x + 6 = 3/5
  • => 5(x - 16) = 3(x + 6)
  • => 5x - 80 = 3x + 18
  • => 2x = 98
  • => x = 49

Hence, <u>the value of x is 49.</u>

<h3>_______________________________</h3>

Hoped this helped.

3 0
3 years ago
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