Ellen is filling the pool shown in the figure for her little brother. She can carry 2
5
8 gallons of water each trip. Write and solve an equation to find how many trips she needs to make.

Answer:

x = ±√(y/25 + 4)

Step-by-step explanation:

Given the expression;

y = 25x² - 100

We are to make x the subject of the formula;

-25x² = -y - 100

25x²= y + 100

x² = y/25 + 100/25

x²= y/25 + 4

x = ±√(y/25 + 4)

This give the value of x

It is False :))

Step-by-step explanation:

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Answer:

(0,0), (10,6) (15,9)

Step-by-step explanation:

Answer:

Origin(0,0)

First point(2.5,1.5)

2nd point (5,3)

3rd point(10,6)

Step-by-step explanation:

Answer:

x=27

Step-by-step explanation:

You want to isolate the variables so you subtract 5 from both sides. Therefore the equation will be 2/3x-1/9x=15. You want to take away the fraction because no one likes fractions. You have to multiply everything by 9. Therefore, the equation will be 6x-x=135. 5x=135. You want to isolate x so you have to divide each side by 5. x=135/5. Simplify to get x=27.

If this has helped you please mark as brainliest

Answer:

1

Step-by-step explanation:

1 because the circumference is the diameter x pi. Since the circumference is 3.14, and 3.14 divided by 3.14 is 1, then the diameter is 1.

Answer:

A

Step-by-step explanation:

Answer:

(2x+2)+(x+34)

3x+36=180

-36=144

144/3

x=48

Step-by-step explanation:

Answer:

Arc length SR = 18.85 ft

Step-by-step explanation:

To get the arc length, we use the formula below

theta/360 * 2 * pi * r

theta is the central angle subtended by the arc which is 120 degrees

r is the radius of the circle which is 9 ft

Substituting these values, we have

120/360 * 2 * 3.142 * 9

= 18.85 ft

Answer:

(x2 +2x+1)+(y2+4y)=31+1

(x+1)2 +(y2+4y)=32

(x+1)2 +(y2+4y+4)=32+4

(x+1)2 +(y+2)2=36

The equation can be written in the form (x-p)2 +(y-q)2=r2

so it represents a circle with the radius r=6  and the center (-1,-2)

Step-by-step explanation:

Answer:

6 units is the amswer

Step-by-step explanation:

here you gooo

Answer:

Step-by-step explanation:

Hope this helps u!!

Answer:

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Answer:

-1,-6

Step-by-step explanation:

The reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

In mathematics, reflection is a transformation that flips a shape, point, or object over a line, plane, or point. Reflection is also known as flipping, mirroring, or symmetry.

In two-dimensional geometry, the most common type of reflection is a mirror reflection, which involves flipping a shape or point over a line (known as the line of reflection) to create a mirror image. The line of reflection acts as a mirror, and the shape or point is reflected in the mirror as if it were a real reflection.

To find the reflection of the point P=(-1,6) across the x-axis, we can use the following formula:

Rx-axis(P) = (x, -y)

where x is the x-coordinate of P, and y is the y-coordinate of P.

In this case, the x-coordinate of P is -1, and the y-coordinate of P is 6. Therefore, the reflection of P across the x-axis, Rx-axis(P), is:

Rx-axis(P) = (-1, -6)

So the reflection of point P=(-1,6) across the x-axis is the point (-1,-6).

To know more about reflection follow

https://brainly.com/question/20750065

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Answer:

x = 1+sqrt(69)/8 about 2.0383

or

x = 1-sqrt(69)/8 about -0.0383

Step-by-step explanation:

Use the quadratic formula:

(Move 17 to the left side first though)

(-b±√(b²-4ac))/2a

(1±sqrt(1-4*1*-17))/2(4)

x = 1±sqrt(69)/8

The most efficient method is the quadratic equation because the equation is not easily factorable and a!=1.

Answer:

70 mb

Step-by-step explanation:

264 picture = 528 mb

35 pictures = ?

Solve for one picture:

Variable x = mb per 1 picture

264/528 = 1/x

Cross multiply:

264 × x = 528 × 1

264x = 528

x = 528 ÷ 264

x = 2

Each picture takes up 2 mb.

Multiply the number of pictures per 2 mb:

35 pictures × 2 mb

70 mb total

Answer: 32

Step-by-step explanation:

When given a question where there is a distinct set of items to choose from, the total number of configurations is equal to 2 to the power of number of different choices. Since there are five different choices, the number of different sundaes is equal to 2^5 or 32 sundaes.

Answer:

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Step-by-step explanation:

α and β are Supplementary (given)

[tex] \therefore \alpha + \beta = 180\degree.... (1)[/tex]

It is given that:

[tex] \alpha= \frac{3}{2} \beta[/tex]

Plugging the value of α in equation (1), we find:

[tex] \frac{3}{2} \beta + \beta = 180\degree[/tex]

[tex]\therefore \frac{3+2}{2} \beta = 180\degree[/tex]

[tex]\therefore \frac{5}{2} \beta = 180\degree[/tex]

[tex]\therefore \beta = 180\degree\times \frac{2}{5}[/tex]

[tex]\therefore \beta = 72\degree[/tex]

[tex]\implies \alpha= \frac{3}{2} \times 72\degree= 108\degree [/tex]

So,

[tex] \alpha = 108\degree, \: \beta = 72\degree [/tex]

Answer:

18 is the answer

Step-by-step explanation:

added all the marbles she took out to see the total she took out which was 50

if she did it 90 times I need to see how much time 50 she did it more and that was so 90 divided by 50 is 1.8 and that times 10

(times because we want to see how many times the red marble would come out) and that’s 18

hope this helps u

Have a nice day : )

Mark brainliest

Answer:

C)

Step-by-step explanation:

Answer:

if it rains 7 out of 10 days the chance of rain for one day is 70%

Step-by-step explanation:

Answer:

5 millennia

Step-by-step explanation:

The simplest way to get the answer is that a millennium is 1,000 years and since you mentioned there are 4 millennia in 4,000 years, you would need to divide 5,000 by 1,000.  Your answer should be 5 millennia.

Answer: 68.5 pounds

Step-by-step explanation:

he grew 1.5 inches, or 6/4 inches, a total of 6 1/4 inches. 6*(3/4) = 4.5.

If he gained 4.5 pounds, then he would be 64 + 4.5 = 68.5 pounds

Answer:

68.5 pounds

Step-by-step explanation:

hope this helps you!

Answer:

Step-by-step explanation:

perimeter = 74+74+93+93 = 334 ft

area = (74× 93) = 6882 ft²

b . area

c. perimeter

Answer:

Step-by-step explanation:

Answer:

A. & B. are the corect answers

Step-by-step explanation:

Answer:

A and B

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Step-by-step explanation:

x:y is 1:3

=>  y is bigger than x

=>  y is 3x bigger than x

=>  y = 3 lots of x

=>  [tex]y =[/tex] [tex]3x[/tex]

=>  [tex]\frac{y}{3}[/tex] [tex]= x[/tex]

=>  [tex]\frac{1}{3} y[/tex] [tex]= x[/tex]

So x is [tex]\frac{1}{3}[/tex] of y

y is [tex]\frac{3}{4}[/tex] of (x+y)

If x = 1 and y = 3 (substitute in values)

=>  3 is [tex]\frac{3}{4}[/tex] of (4)

=>  3 is [tex]\frac{3}{4}[/tex](4)

=>  3 is ([tex]\frac{3}{4}[/tex]x4)

=>  3 = 3

Therefore, y is [tex]\frac{3}{4}[/tex] of (x+y) is true

So the answers are:

x is [tex]\frac{1}{3}[/tex] of y

AND

y is [tex]\frac{3}{4}[/tex] of (x+y)

Answer:

The slope is 1/8.

Step-by-step explanation:

So basically, when we are trying to find slope, we think of the change of y over the change of x. And so the change of y between those two points would be 4-2 which is 2. And the change of x would be 32-16, which is 16. Because slope is y/x, therefore the slope is 2/16, which is also 1/8 simplified. I hope this helps!

Answer:

Step-by-step explanation:

Answer:

The answer is 42 3/4 for this question

Solution :

It is given in the question that Ben goes to the zoo by walking and then he walks down to the city park. He moves several blocks while walking from his home to the zoo and then to the city park.

The figure is provided below.

So from the picture, the least number of blocks that Ben had walked from his home to the city park can be found out by counting the number of blocks he moved.

So the least number of blocks will be = 19