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4 years ago

What is the solution of the system?

Mathematics

1 answer:

aliina [53]4 years ago

5 0

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

y= − $\frac{3x}{2}$ + $\frac{11}{2}$

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Igoryamba

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3 0

3 years ago

Read 2 more answers

One month ruby wokred 6 more hours than isaac and svetlana worked 4 times as many as ruby they together worked 126 hours how man

jok3333 [9.3K]

R + R - 6 + 4R = 126
6R - 6 = 126
6R = 126 + 6
6R = 132
R = 132/6
R = 22 (hours Ruby worked)
I = R - 6
I = 22 - 6
I = 16 (hours Isaac worked)
S = 4R
S = 4(22)
S = 88 (hours Svetlana worked)

Finally, let's check our three answers to see if their sum is 126 (the given total of hours worked):
22 + 16 + 88 = 38 + 88 = 126

8 0

3 years ago

Horses are measure in units called hands.One inch equals 1/4 hand.The average Clydesdale is 17 1/5 hands tall.What is th is heig

Mashcka [7]

(17.2 hand)*(1 in)/(0.25 hand) = 68.8 in

8 0

4 years ago

A spherical ball with a volume of 972 π π in. 3 3 is packaged in a box that is in the shape of a cube. The edge length of the bo

IRINA_888 [86]

Remember that the equation of the volume of a sphere is: $V= \frac{4 \pi r^{3}}{3}$
where
$V$ is the volume of the sphere
$r$ is the radius of the sphere
We know from our problem that the volume of our spherical ball is $972 \pi in^{3}$ , so $V=972 \pi$ . Lets replace that value in our equation to find $r$ :
$V= \frac{4 \pi r^{3}}{3}$
$972 \pi = \frac{4 \pi r^{3 }}{3}$
$r^3= \frac{3(972 \pi )}{4 \pi }$
$r^{3}=729$
$r= \sqrt[3]{729}$
$r=9$
Now that we have the radius of our spherical ball, we can find its diameter using the equation: $d=2r$ :
$d=2(9)$
$d=18$

Since we know for our problem that t<span>he edge length of the box is equal to the diameter of the ball, the length of one side of our square is 18 in.
Now, to find the volume of our cube, we are going to use the equation: </span> $V=a^3$
where
$V$ is the volume of the cube
$a$ is a side of the cube (remember that all the sides of a cube are equal)
$V=18^3$
$V=5832$

We can conclude that the volume of our cube is 5832 $in^{3}$ .

7 0

3 years ago

Alison went to an arcade where she wins 50 points per round for 8 rounds.However during the last round she gets penalized and en

Jlenok [28]

$50 \times 8 = 400 \\ 400 - 575 = - 175$
score changed by 575 points

8 0

3 years ago

Read 2 more answers