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3 years ago

Write the equation in function form: 3y - 12x = 0

Mathematics

2 answers:

STatiana [176]3 years ago

7 0

Y = 4x

Kianna said so

ivanzaharov [21]3 years ago

6 0

Answer: 4x

Step-by-step explanation: Move all terms that don't contain y to the right side and solve. y = 4x

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What is 250 times 3/4

almond37 [142]

The answer is 187 and 1/2. If you multiply 250 by the decimal form of 3/4 which is .75, you get 187.5 which is 187 and 1/2 in fraction form. hope this helps :)

8 0

4 years ago

Factorise 5x + 40 <br> 7x - 49<br> 18x + 9<br> 15x - 10

Vera_Pavlovna [14]

<em><u>Factorization is:</u></em>

$5x+40=5(x+8)\\\\7x-49=7(x-7)\\\\18x+9=9(2x+1)\\\\15x-10=5(3x-2)$

<h3><u>Solution:</u></h3>

Given that we have to factor the given expressions

<h3><u>First expression:</u></h3>

5x + 40

We have to take the greatest common factor out

When we find all the factors of two or more numbers, and some factors are the same then the largest of those common factors is the Greatest Common Factor

Take G.C.F of 5 and 40

The factors of 5 are: 1, 5

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

Then the greatest common factor is 5

Factor out 5 from given expression

$5x + 40 = 5(x+8)$

<h3><u>Second expression:</u></h3>

7x - 49

Similarly, take G.C.F of 7 and 49

The factors of 7 are: 1, 7

The factors of 49 are: 1, 7, 49

Then the greatest common factor is 7

Factor out 7 from given expression

$7x - 49 = 7(x-7)$

<h3><u>Third expression:</u></h3>

18x + 9

Similarly, take G.C.F of 18 and 9

The factors of 9 are: 1, 3, 9

The factors of 18 are: 1, 2, 3, 6, 9, 18

Then the greatest common factor is 9

Factor out 9 from given expression

$18x + 9 = 9(2x+1)$

<h3><u>Fourth expression:</u></h3>

15x - 10

Similarly, take G.C.F of 15 and 10

The factors of 10 are: 1, 2, 5, 10

The factors of 15 are: 1, 3, 5, 15

Then the greatest common factor is 5

Factor out 5 from given expression

$15x-10 = 5(3x-2)$

Thus factorization is found

3 0

4 years ago

As mountain climbers know, the higher you go, the cooler the temperature gets. At noon on July 4th last summer, the temperature

Amanda [17]

Answer:

a. 63 °F

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

Step-by-step explanation:

a. To model this situation, we assume the temperature varies inversely as elevation decreases since at elevation 6288 ft the temperature is 56 °F and at elevation 2041 ft, the temperature is 87 °F

So, we model this as a straight line.

Let m be the gradient of the line.

Let the (6288 ft, 56 F) represent a point on the line and (2041 ft, 87 °F) represent another point on the line.

So m = (6288 ft - 2041 ft)/(56 °F - 87 °F) = 4247 ft/-31 °F = -137 ft/°F

At elevation 5376 ft, let the temperature be T and (5376 ft, T) represent another point on the line.

Since it is a straight line, any of the other two points matched with this point should also give our gradient. Since in the gradient, we took the point (6288 ft, 56 °F) first, we will also take it first in this instant.

So m = -137 ft/ °F = (6288 ft - 5376 ft)/(56 °F - T)

-137 ft/°F = 912 ft/(56 °F - T)

(56 °F - T)/912 ft = -1/(137 ft/ °F)

56 °F - T = -912 ft/(137 ft/°F)

56 °F - T = 6.66 °F

T = 56 °F + 6.66 °F

T = 62.66 °F

T ≅ 62.7 °F

T ≅ 63 °F to the nearest degree

b. When i decided to model the situation, I assumed that the temperature varied inversely as the elevation and that the change in elevation or temperature was linear.

5 0

3 years ago

The distance between two schools A and B is 2km.A market is situated 3/4 of the distance from A to B.How far is the market from

galina1969 [7]

Answer:

0.5 km

Step-by-step explanation:

the schools are 2km apart, so we are trying to find 3/4 of 2km, which is 1.5. So, the market is 1.5km from school A, which means that it is .5km from school b since they are 2km apart

3 0

3 years ago

If there are 14 dogs and 23 cats in the shelter. Which ratio DOES NOT accurately compare the

Leona [35]

Answer: B. 23 to 14

Since it asks for the ratio of dogs to cats the 14 has to go first. The other options are all different ways to write the same ratio. Hope this helps!

6 0

3 years ago