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Illusion [34]
3 years ago
15

Please I need help with this question. I am giving 15 points.

Mathematics
2 answers:
arsen [322]3 years ago
6 0
You would place the answer in quadrent 4
slamgirl [31]3 years ago
6 0
In need of graph, sorry
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The ratio between the volumes of two cubes is 125 to 216. what is the ratio between their respective surface areas?
MAVERICK [17]
Volume of a cube is length * width * height. Because it's a cube, all of these lengths are the same measurement so rather than doing V = l*w*h, we can do one of the measurements cubed, let's call it x.

So Volume = x³. So if we are given the volume, we can the length by doing the cube root. 

∛125 = 5
∛216 = 6

Surface area of a cube = 6x². So now we plug both of these measurements into the formula. 

For 5:

SA = 6(5)² = 6(25) = 150

For 6:

SA = 6(6)² = 6(36) = 216

The ratio of their surface areas is 150:216 or if you simplify it by dividing both by the GCF of 6, 25:36
8 0
3 years ago
What is the probability that a client chooses Greece, or Italy, or both countries, on a tour?
Jlenok [28]

Answer:

Both

Step-by-step explanation:

5 0
3 years ago
Use intercepts to graph the linear equation -2x+7y=-21 Question 2
Anna11 [10]

Answer:

The point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

The point representing the x-intercept is: (10.5, 0)

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Step-by-step explanation:

Given the linear equation

-2x+7y=-21

Determining the y-intercept

We know that the value of y-intercept can be determined by setting x = 0, and determining the corresponding value of y.

substituting x = 0 in the equation

-2x+7y=-21

-2(0) + 7y = -21

0+7y = -21

7y = -21

divide both sides by 7

7y/7 = -21/7

y = -3

Therefore, the point representing the y-intercept is: (0, -3)

The black dot represents the y-intercept on the attached graph. It is very clear at y = 0, x = -3.

Determining the x-intercept

We know that the value of x-intercept can be determined by setting y = 0, and determining the corresponding value of x.

substituting y = 0 in the equation

-2x+7y=-21

-2x+7(0) = -21

-2x + 0 = -21

-2x = -21

divide both sides by -2

-2x / -2 = -21 / -2

x = 21/2

x = 10.5

Therefore, the point representing the x-intercept is: (10.5, 0)

The graph of the linear equation containing the y-intercept (0, -3) and x-intercept (10.5, 0) is shown and attached below.

The red dot represents the x-intercept on the attached graph. It is very clear at x = 0, y = 10.5

Please check the attached graph.

8 0
3 years ago
. An individual wishes to invest $5000 over the next year in two types of investment: Investment A yields 5%, and investment B y
tresset_1 [31]

Answer:

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

Step-by-step explanation:

Let

x -----> the amount invested at Investment A yields 5%

y -----> the amount invested at Investment B yields 8%

we know that

x+y=5,000

x=5,000-y  -----> equation A

x \geq 0.25(5,000)

x \geq \$1,250 -----> inequality B

y \leq 0.50(5,000)

y \leq \$2,250 -----> inequality C

x \geq \frac{1}{2}y -----> inequality D

Substitute equation A in the inequality D and solve for y

5,000-y \geq \frac{1}{2}y

Multiply by 2 both sides

10,000-2y \geq y

Multiply by -1 both sides

-10,000+2y \leq -y

Adds y both sides

-10,000+2y+y \leq 0

-10,000+3y \leq 0

adds 10,000 both sides

3y \leq 10,000

Divide by 3 both sides

y \leq \$3,333.33 -----> inequality E

therefore

<em>Solve for y</em>

we have

y \leq \$2,250 -----> inequality C

y \leq \$3,333.33 -----> inequality E

The solution of inequality C and inequality E is

y \leq \$2,250

For y=2,250

x=5,000-y ----> x=5,000-2,250=2,750

so

x \geq \$2,750 -----> inequality F

<em>Solve for x</em>

we have

x \geq \$1,250 -----> inequality B

x \geq \$2,750 -----> inequality F

The solution of inequality B and inequality F is

x \geq \$2,750

therefore

The amount invested at Investment A must be greater than or equal to $2,750

The amount invested at Investment B must be less than or equal to $2,250

7 0
3 years ago
What is the value of (-ab)(a) when a=-2 and b=3
Romashka [77]


(-ab)(a) = (-(-2)(3))(-2) = -12

5 0
3 years ago
Read 2 more answers
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