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Related Questions

Mark earned $48. He spent $6 and saved the remaining money.
What is the ratio of amount spent to amount saved?

Answers

Answer:

1:7

Step-by-step explanation:

The sand pit for the long jump has a width of 3.65 meters and a length of 9.5 meters. The cheerleaders want to cover the pit with a sign cheering on their team. How many square meters of paper will the cheerleaders need to cover the sand pit?

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Answer:

34.675 square meters of paper

Step-by-step explanation:

multiply 3.65 by 9.5 to get the area or square meters

10b - 5m - 4b +8b - 4m
Simplify the expression you combining like terms

Answers

Answer:

14b - 9m

Step-by-step explanation:

10b - 4b + 8b - 5m - 4m

14b - 9m

the tables represent two linear functions in a system. what is the solution to this system?​

Answers

Answer: The solution is the point (-14, -54)

Step-by-step explanation:

When we have a system of linear equations like:

y = a*x + b

y = c*x + d

The solution of this system is the point (x, y) that is a solution for both equations, if we graph the lines, this point would be the point where the lines intersect.

To start with this, we need to find the equations of the lines, we will use the following:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Now, for the first table, we can use the points: (-3, -10) and (0, 2)

The slope of this line is:

a = (2 - (-10))/(0 - (-3)) = 12/3 = 4

then we have:

y = 4*x + b

To find the value of b, we can just replace one of the points in the equation, for example, we can use the point (0, 2), this means that we need to replace x by 0, and y by 2.

2 = 4*0 + b

2 = b

Then the equation for the first table is y = 4*x + 2

For the second table, we can use the points (0, -12) and (3, - 3)

Then the slope is:

a = (-3 - (-12))/(3 - 0) = 9/3 = 3

Then we have:

y = 3*x + c

And to find the value of c, we can do the same as before, now we use the point (0, -12) then:

-12 = 3*0 + c

-12 = c

Then the equation for this line is:

y = 3*x - 12

The system of linear equations is then:

y = 4*x + 2

y = 3*x - 12

To find the solution of the system, we must have that y = y, then we can write:

4*x + 2 = y = 3*x - 12

4*x + 2 = 3*x - 12

Now we can solve this for x.

4*x - 3*x = -12 - 2

x = -14

x = -14

Now we can replace this in one of the equations to find the value of y.

y = 3*(-14) - 12 = -54

Then the solution is the point (-14, -54)

Last year, Josh had $20,000 to invest. He invested some of it in an account that paid 7% simple interest per year, and he invested the rest in an account that paid 9% simple interest per year. After one year, he received a total of $1560 in interest. How much did he invest in each account?

Answers

Answer: $12000 was invested at 7% while $8000 was invested at 9%.

Step-by-step explanation:

Based on the information given in the question, let the amount that was invested at 7% be n.

Therefore,

0.07n + 0.09(20000 - n) = 1560

0.07n + 1800 - 0.09n = 1560

-0.02n = 1560 - 1800

-0.02n = -240

n = 240/0.02

n = 120

Therefore, $12000 was invested at 7% while $8000 was invested at 9%.

Please need help on this one

Answers

The answer is 130°
Because it is a circle, the angles have to all add up to 360°. So if you add up the two known angles, and subtract that sum from 360, you will get 130°

Click an item in the list or group of plctures at the bottom of the problem and, holding the button down, drag It into the
correct position in the answer box. Release your mouse button when the tem is place. If you change your mind, drag
the Item to the trashcan. Click the trashcan to clear all your answers.
Solve the problem as directed.
The volume (v) of a sphere varies directily as the cube of its diameter (d). Write this statement in algebraic language,
using an equation with the variables c, V, and d.

Answers

Volume= constant × diameter to the power 3