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2 years ago

Solve Quantity 4x plus 15 end quantity over 5x is equal to one-half. Show all work.

Mathematics

1 answer:

almond37 [142]2 years ago

4 0

((4x+15)/(5x)) = 1/2
4x+15 = (5x)/2
8x+30=5x
3x+30=0
3x=-30
x=-10

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What value of Y will satisfy the given equation y divided by 2y — 15 = 7/5

guapka [62]

Answer:

$\huge\boxed{\sf y = \frac{41}{5} \ OR \ y = 8\frac{1}{5} }$

Step-by-step explanation:

$\sf 2y-15 = \frac{7}{5} \\\\Adding \ 15 \ to \ both \ sides\\\\2y = \frac{7}{5} + 15\\\\2y = \frac{7+75}{5} \\\\2y = \frac{82}{5} \\\\Dividing \ both \ sides \ bu 2\\\\y = \frac{82}{5*2} \\\\y = \frac{41}{5}$

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2 years ago

Which table shows y as a function of x

ANTONII [103]

The answer should be C :) in order for there to be a function, first rule is the x number cannot repeat

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2 years ago

5p = 2.5<br><br> A.) 5<br> B.)0.05<br> C.)0.5<br> D)2

shutvik [7]

Divide both sides by 5. You get 1/2 or 0.5
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2 years ago

For every boy in an advanced math course there are 3 girls who are taking the course.

Nutka1998 [239]

Answer:

If 32 students are enrolled in the course, there would be 24 girls.

Step-by-step explanation:

Given that For every boy in an advanced math course there are 3 girls who are taking the course.

It means if there are four students in the class. There would be 3 girls and 1 boy. Thus, 75% of the students are girls.

Given that there are 32 students enrolled in the course.

75% of 32 = 75/100 × 32

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Thus, if 32 students are enrolled in the course, there would be 24 girls.

7 0

2 years ago

Find the perimeter of the following triangle.

pashok25 [27]

Hello!

To find the perimeter of the triangle, we need to find the length of all the sides using the <u>distance formula</u>.

The distance formula is: $d =\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ .

First, we can find the distance between the points (-3, -1) and (2, -1). The point (-3, -1) can be assigned to $(x_{1},y_{1})$ , and (2, -1) is assigned to $(x_{2},y_{2})$ . Then, substitute the values into the formula.

$d =\sqrt{(2 - (-3))^{2}+ (-1 - (-1))^{2}}$

$d =\sqrt{5^{2}+0^{2}}$

$d =\sqrt{25} = 5$

The distance between the points (-3, -1) and (2, -1) is 5 units.

Secondly, we need to find the distance between the points (2, 3) and (2, -1). Assign those points to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ , then substitute it into the formula.

$d =\sqrt{(2 - 2)^{2}+ (-1 - 3)^{2}}$

$d =\sqrt{0^{2}+(-4)^{2}}$

$d =\sqrt{16} = 4$

The distance between the two points (2, 3) and (2, -1) is 4 units.

Finally, we use the distance formula again to find the distance between the points (-3, -1) and (2, 3). Remember the assign the ordered pairs to $(x_{1},y_{1})$ and $(x_{2},y_{2})$ and substitute!

$d =\sqrt{(2 -(-3))^{2}+ (3 - (-1))^{2}}$

$d =\sqrt{5^{2}+4^{2}}$

$d =\sqrt{25 + 16}$

$d =\sqrt{41}$ This is equal to approximately 6.40 units.

The last step is to find the perimeter. To find the perimeter, add of the three sides of the triangle together.

P = 5 units + 4 units + 6.4 units

P = 15.4 units

Therefore, the perimeter of this triangle is choice A, 15.4.

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3 years ago