Consider the algebraic equation x + 3 = 9.

X is six more than four times the value of y.

Oksana_A [137]

Therefore
(4y+6) +y = 46

We can combine the like terms:
5y + 6 = 46

Subtract 6 on both sides:

5y+6-6=46-6

Therefore 5y =40

Divide by 5 on both sides

5y/5 = 40/5

Therefore

y= 8
We found y but to find the value x we use y.

X= 4y+6

Therefore
x= (4*8)+ 6

Therefore

x= 32 + 6

x= 38.

7 0

3 years ago

Read 2 more answers

8th grade - geometry

Cloud [144]

What are you trying to prove here? I know when step will be the use of the Transitive Property. If a=b, and b=c, then a=c.

8 0

3 years ago

Monica's rectangular living room is 12 ft by 15 ft. She has a square rug that covers 5/9 of the area of the floor. What is the s

GarryVolchara [31]

10 ft i think. 5/9 of 180 (which is 12 x 15) is 100 and 10 x 10 is 100

4 0

3 years ago

Write the slope-intercept form of the equation of each line given the slope and y-intercept.

saul85 [17]

Answer:

4b. −6x + y = −4

4a. 7x + 4y = −12

3b. y = ½x + 3

3a. y = −6x + 5

2b. y + 2 = −⅔(x + 3)

2a. y - 3 = ⅘(x - 5)

1b. y = -x + 5

1a. y = 5x - 3

Step-by-step explanation:

4.

Plug the coordinates into the Slope-Intercept Formula first, then convert to Standard Form [Ax + By = C]:

b.

2 = 6[1] + b

6

−4 = b

y = 6x - 4

-6x - 6x

_________

−6x + y = −4 >> Standard Equation

a.

4 = −7⁄4[-4] + b

7

−3 = b

y = −7⁄4x - 3

+7⁄4x +7⁄4x

____________

7⁄4x + y = −3 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]

4[7⁄4x + y = −3]

7x + 4y = −12 >> Standard Equation

__________________________________________________________

3.

Plug both coordinates into the Slope-Intercept Formula:

b.

5 = ½[4] + b

2

3 = b

y = ½x + 3 >> EXACT SAME EQUATION

a.

−1 = −6[1] + b

−6

5 = b

y = −6x + 5

* Parallel lines have SIMILAR RATE OF CHANGES [SLOPES].

__________________________________________________________

2.

b. y + 2 = −⅔(x + 3)

a. y - 3 = ⅘(x - 5)

According to the Point-Slope Formula, y - y₁ = m(x - x₁), all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.

__________________________________________________________

1.

b. y = -x + 5

a. y = 5x - 3

Just write out the Slope-Intercept Formula as it is given to you.

I am joyous to assist you anytime.

3 0

3 years ago

darcy likes to eat peanut butter and raisins on apple slices. on each apple slice she puts 1/16 cup of peanut butter and 8 raisi

netineya [11]

The answer is 7/10.

For one apple slice, Darcy needs 1/16 cup of peanut butter and 8 raisins. She has 2/5 cup of peanut butter. To compare how many butter she has and she needs we will divide 2/5 with 1/1

This means that Darcy needs 5/80 cup of peanut butter and 8 raisins.
If she has 32/80 cup of peanut butter, she will have it only fo 6 or 7 apple slices (32/80 ÷ 5/80 = 6.4) depending how it is rounded. If she prepares 6 apple slices, she will still have a little of peanut butter left (0.4 = 2/5 of cup). So, she will prepare 7 apple slices so the butter will be all gone.

For 7 apple slices, she needs 56 raisins (7 × 8 raisins).
That is 56 raisins out of 80 raisins, so fraction of the 80 raisins did she eat is:
 $\frac{56}{80} = \frac{7}{10}$

4 0

3 years ago