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3 years ago

I need help with this Algebra question

Mathematics

1 answer:

Ainat [17]3 years ago

3 0

Step 1 = Distributive Property ( multiplying the 2 by each term in parenthesis)

Step 2 = Addition Property ( adding like terms)

Step 3 = Addition Property (adding 34x to each side)

Step 4 = Division Property. ( dividing both sides by 17)

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Solve for g. 9 - g = 2g

svp [43]

Answer:

g=3

Step-by-step explanation:

9 - g = 2g

+g +g

9=3g

divide both sides by 3

g=9

8 0

3 years ago

Herman and Jackie are saving money to pay for college. Herman currently has $15,000 and is working hard to save $1000 per month.

Mashutka [201]

Answer:

Part 1) $10\ months$

Part 2) $\$25,000$

Step-by-step explanation:

Let

y ----> the total amount of savings

x ----> the number of months

we know that

The linear equation in slope intercept form is equal to

$y=mx+b$

where

m is the slope or unit rate

b is the y-intercept or initial value

In this problem we have

Herman

The slope is equal to $m=\$1,000\ per\ month$

The y-intercept is $b=\$15,000$

substitute

$y=1,000x+15,000$ ----> equation A

Jackie

The slope is equal to $m=\$1,300\ per\ month$

The y-intercept is $b=\$12,000$

substitute

$y=1,300x+12,000$ ----> equation B

Part 1) In how many months will they have the same amount of savings?

equate equation A and equation B

$1,300x+12,000=1,000x+15,000$

solve for x

$1,300x-1,000x=15,000-12,000$

$300x=3,000$

$x=10\ months$

Part 2) How much will each of them have saved?

substitute the value of x=10 months in any of the equations

equation A

$y=1,000(10)+15,000=\$25,000$

equation B

$y=1,300(10)+12,000=\$25,000$

7 0

3 years ago

In what quadrant does the angle 9pi/ 5 terminate?

aev [14]

the angle 4pi/5 in quadrent 2

3 0

3 years ago

Read 2 more answers

Cade and Tyce both tried to find the missing side of the right triangle. A right triangle is shown. The legs are labeled 6 and 9

Talja [164]

Step-by-step explanation:

Two legs of the right triangle are 6 and 9. We can find its third side as follows :

$a^2+b^2=c^2$

The above is called Pythagoras theorem and it is applicable for a right angled triangle.

a,b and c are base, perpendicular and hypotenuse respectively

c is the third side

So,

$c^2=6^2+9^2\\\\c=\sqrt{117} \\\\c=10.816\approx 10.82$

Hence, Cade and Tyce both are correct. The length of the missing side is 10.82

7 0

3 years ago

Read 2 more answers

Eliminate the parameter. x = t^2 + 1, y = t^2 - 1.

Maksim231197 [3]

Answer:

Eliminating the parameter, the equation is $y = x - 2$

Step-by-step explanation:

We are given the following parametric equations:

$x = t^2 + 1$

$y = t^2 - 1$

We want to eliminate the parameter t. From the first equation:

$x = t^2 + 1$

$t^2 = x - 1$

Replacing in the second equation:

$y = x - 1 - 1$

$y = x - 2$

Eliminating the parameter, the equation is $y = x - 2$

7 0

3 years ago