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3 years ago

What is the solution to the system of equations?

Mathematics

1 answer:

lord [1]3 years ago

4 0

Answer:

(3, -2)

Step-by-step explanation:

both of the equations are equal to y, which means they are equal to each other.

So you write them as equation(1) = equation(2)

and solve for x.

Next substitute the value of x to any of the equations and find y. And that is how I got (3 , -2)

Hope I was able to help:)

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What is the total time it will take the snowball to melt completely

podryga [215]

Point-slope form

y -24 = -4/5(x -0)

Find x when y is 0 (X-intercept)

0 -24 = -4/5(x -0)

-24 = -4/5x

x = -120/-4

x = 30

Answer: A. 30 minutes

5 0

3 years ago

A school is selling tickets to their Spring theater production. Student tickets cost $6 each and non-student tickets cost $9 eac

I am Lyosha [343]

Answer:

x=137

y=525-137

y=388

Step-by-step explanation:

Let the student tickets be x

Let the geral Admission tickets be y

x+y=525

y=525-x

4x+6y=2876 (subsitute for y)

4x+6(525-x)=2876

4x+3150-6x=2876

-2x=-274

x=137

y=525-137

y=388

Hence, about 137 childern tickets were sold and 388 gernal admission tickets were sold.

Paul.

3 0

3 years ago

Read 2 more answers

A truck is being filled with cube-shaped packages that have side lengths of 1/4 foot. The part of the truck that is being filled

n200080 [17]

Answer:

24000 pieces.

Step-by-step explanation:

Given:

Side lengths of cube = $\frac{1}{4} \ foot$

The part of the truck that is being filled is in the shape of a rectangular prism with dimensions of 8 ft x 6 1/4 ft x 7 1/2 ft.

Question asked:

What is the greatest number of packages that can fit in the truck?

Solution:

First of all we will find volume of cube, then volume of rectangular prism and then simply divide the volume of prism by volume of cube to find the greatest number of packages that can fit in the truck.

$Volume\ of\ cube =a^{3}$

$=\frac{1}{4} \times\frac{1}{4}\times \frac{1}{4} =\frac{1}{64} \ cubic \ foot$

Length = 8 foot, Breadth = $6\frac{1}{4} =\frac{25}{4} \ foot$ , Height = $7\frac{1}{2} =\frac{15}{2} \ foot$

$Volume\ of\ rectangular\ prism =length\times breadth\times height$

$=8\times\frac{25}{4} \times\frac{15}{2} \\=\frac{3000}{8} =375\ cubic\ foot$

The greatest number of packages that can fit in the truck = Volume of prism divided by volume of cube

The greatest number of packages that can fit in the truck = $\frac{375}{\frac{1}{64} } =375\times64=24000\ pieces\ of\ cube$

Thus, the greatest number of packages that can fit in the truck is 24000 pieces.

7 0

3 years ago

On each 3 days derrik rode 6.45 km to school, 150 meters to the library, and then 500 meters back home. How many kilometers did

Andrew [12]

Just add all 3 numbers up together:

6.45+ 0.15+0.5

=7.1

Since it was three days multiply the 7.1 by three

=7.1x3

=24

So for three days derrick rode for 24 km

Hoped I helped :)

7 0

3 years ago

Eric runs 3 miles in 28 minutes. at the same rate how many miles would he run in 42 minutes?

Nastasia [14]

3miles/ 28 minutes times 42 minutes is equal to 4.5 miles.

Therefore, Eric run 4.5 miles in 42 minutes.

Hopefully this helps!

7 0

3 years ago