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Temka [501]
3 years ago
11

Solve for x Help!!!!!!

Mathematics
1 answer:
Shkiper50 [21]3 years ago
7 0

Answer:

x = 6

Step-by-step explanation:

(11x-9)+(6x+20)+(10x+7) = 180

27x + 18 = 180

27x = 162

x = 6

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Luis skates 2/3 mile from his home to school. Isabella skates 2/4 mile to get to school. Who skates father?
iogann1982 [59]
In order to figure out whether Luis or Isabella skates farther to get to school, we have to create a common denominator between the two fractions that represent the distance that each person walks.

The least common denominator of 3 and 4 is 12.  This means that we have to change both fractions into equal fractions with denominators of 12.

To figure this out, we must set up a proportion.
2/3 = x/12
To solve this proportion, we must cross-multiply the fractions.  We get:
24 = 3x
If we divide both sides by the coefficient of x which is 3, to get the variable x alone, we get:
x = 8

Therefore, 2/3 = 8/12, so Luis skates 8/12 mile from his home to school.

If we do the same process for the 2/4 mile to get to school for Isabella, we get 6/12, because both fractions are equal to 1/2.

Therefore, we know that Luis skates 8/12 mile to school and Isabella skates 6/12 mile to get to school.  Because they have the same denominator, we can just compare the numerators.  We know that 8 is greater than 6, thus Luis skates farther to get to school.

3 0
3 years ago
Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inc
Natasha_Volkova [10]

Answer:

2400 in^3

Step-by-step explanation:

Tyler asks for a fish tank for his birthday. The task he wants is a rectangular prism 20 inches long, 10 inches wide, and 12 inches tall. How much water will the fish tank hold?

the capacity of the tank can be determined by calculating the volume of the tank

volume of a prism = length x width x height

20 x 10 x 12 = 2400 in^3

8 0
3 years ago
What does solution mean in math
yanalaym [24]

Answer:

the act or process of forming a solution. the state of being dissolved (esp in the phrase in solution) a mixture of two or more substances in which one or more components are present as small particles with colloidal dimension; colloida colloidal solution. a specific answer to or way of answering a problem.

( I hope this was helpful) >;D

8 0
3 years ago
I just need help with this
Alexxx [7]

Answer:

z = 4.5

Step-by-step explanation:

∠B = ∠B      ∠BAD = 90° - ∠B = ∠C

ΔBAD ~ ΔBCA

AB / z = BD / AB

z = AB * AB / BD = 3*3 / 2 = 4.5

3 0
3 years ago
Human population numbers are in constant flux. Suppose a country has a population of 20 million people at the start of one year
Sati [7]
  • Birth=+600000
  • Death=-350000
  • Immigrants=+100000
  • emigrants=-5000

. Population Change:-

\\ \sf\longmapsto 600000-350000+100000-5000=+350000

Population:-

\\ \sf\longmapsto 2000000+350000=2350000

7 0
3 years ago
Read 2 more answers
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