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3 years ago

Which statement is true? Help please.

Mathematics

1 answer:

e-lub [12.9K]3 years ago

7 0

Every point on a line satisfies the equation of that line.
If two lines intersect at one point, that point is a point on both lines, so it must satisfy both lines. Since two different lines can intersect at most at one point, that point is the only point that makes the two equations true.

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The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes. The hose at his next-door neighbor's house can fill a

mina [271]

Answer:

The time it would take them to fill 750 gallons

= 200 minutes or 3 hours 20 minutes

Step-by-step explanation:

Step 1 :

We calculate the rate at which the hoses fill for Andre and His neighbor

For Andre

The garden hose at Andre's house can fill a 5-gallon bucket in 2 minutes.

The rate is calculated as:

5 gallon/2 minutes

= 2.5 gallons/minute

For His neighbor

The hose at his next-door neighbor's house can fill a 10-gallon bucket in 8

minutes.

= 10 gallon/8 minutes

= 1.25 gallon/minute

Step 2

Hence:

If they use both their garden hoses at the same time, and the hoses continue working at the same rate, the sum of their rate =

2.5 + 1.25 = 3.75 gallons per minute.

Step 3

The time it would take them to fill 750 gallons =

750 gallons ÷ 3.75 gallons per minute

= 200 minutes

= 3 hours 20 minutes

6 0

2 years ago

Write the ratio of the area of a circle with radius r to the circumference of the same circle

Goshia [24]

Answer:

$\frac{r}{2\pi r} =\frac{1}{2\pi }$

Step-by-step explanation:

A ratio is a comparison of two quantities and can be written in several forms including fractions. It is most commonly written in fraction form or a:b.

To write a ratio, we count the number of each quantity we are comparing or use the variable for that quantity. We write radius:circumference. Recall, the circumference of a circle can be found using $\pi d$ or $2\pi r$ .

We write r: $\pi d$ or r: $2\pi r$ .

We can also write in fraction form:

$\frac{r}{\pi d}$ or $\frac{r}{2\pi r} =\frac{1}{2\pi }$

6 0

3 years ago

Three consecutive odd integers are such that the sum of the first and second is 31 less than 3 times the third. Find the integer

Otrada [13]

1st:x

2nd x+2

3rd: x+4

(x)+(x+2) = 3(x+4)-31

distribute

2x+2 = 3x+12-31

2x+2 =3x-19

subtract 2x from each side

2 = x-19

add 19 to each side

21 =x

Answer: 21,23,25

3 0

2 years ago

Which percent is represented by the diagram below?

ivanzaharov [21]

Your answer will be B 12.5% because there's one whole that equals 10 and the second box that has 2 and a half that's equals 2.5 and then you add them together...

10+2.5=12.5

So your answer is B 12.5.

5 0

2 years ago

Read 2 more answers

Graph the line by plotting any two ordered pairs that satisfy the equation.

ollegr [7]

Answer:

(0,-4)

(3,0)

Step-by-step explanation:

Let start at the orgin.

This is a linear equation since the equation is in the form of

$y = mx + b$

where m is the slope and b is the y intercept.

Since we starting at the orgin, and b is our y intercept.

Our first point is

(0,-4).

since the slope is 4/3.

We would rise 4 from the y value and run 3 to the x value.

In other words, to find your second point, go up 4 units from the first point and move to the right 3 units.

So our next point is at

(3,0).

U can continously go up 4 units and move 3 units to the right to find other points.

6 0

3 years ago