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sertanlavr [38]
3 years ago
11

Emily spent 1/2 of her money at the grocery store.Then, she spent 1/2 of what was left at the bakery. Next, at the music store,

she spent 1/2 of what is left on a CD that was on sale. She spent the remainder $6.00 on lunch at the diner. find how much money Emily start with?
Mathematics
1 answer:
Artist 52 [7]3 years ago
4 0
I believe the answer is $48 because 6 * 2 is 12 and 12 * 2 is 24 and 24 * 2 is 48, thus 48$. Please feel free to check my work, though.
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How do I solve these systems of equations?
ruslelena [56]
1. -x+9y=-5
x-5y=1
-----------------
x=1+5y
-(1+5y)+9y=-5
-1-5y+9y=-5
-1+4y=-5
4y=-5-(-1)
4y=-5+1=-4
4y=-4
y=-4/4=-1
So x=1+5y=1+5(-1)=1-5=-4
Answer: x=-4, y=-1. (-4, -1).

2) -7x-y=13
8x+y=-14
------------------
y=-14-8x
-7x-(-14-8x)=13
-7x+14+8x=13
14+x=13
x=13-14=-1
y=-14-8(-1)=-14+8=-6.
Answer: x=-1, y=-6. (-1, -6).

3) x+7y=24
x-9y=-24
----------------
x=24-7y
24-7y-9y=-24
24-16y=-24
16y=24-(-24)=24+24=48
y=48/16=3
x=24-7(3)=24-21=3
Answer: x=3, y=3. (3, 3).

4). 3x+y=-21
x+y=-5
-------------------
x=-5-y
3(-5-y)+y=-21
-15-3y+y=-21
-15-2y=-21
2y=-15-(-21)=-15+21=6
y=6/2=3
x=-5-3=-8.
Answer: x=-8, y=3. (-8, 3).

5) 3x+6y=6
9x-12y=18
---------------
Simplify 3x+6y=6 will get you x+2y=2,
x=2-2y,
9(2-2y)-12y=18
18-18y-12y=18
18-30y=18
30y=18-18=0
y=0/30=0
x=2-2(0)=2-0=2
Answer: x=2, y=0. (2, 0).

6) 6x+8y=26
-7x+2y=-19
-----------------
-4(-7x+2y)=-4(-19)
28x-8y=76
---------------------------
6x+8y=26
28x-8y=76
-----------------
34x=102
x=102/34=3
6(3)+8y=26
18+8y=26
8y=26-18=8
y=8/8=1
Answer: x=3, y=1. (3, 1)

BONUS:
-5x+5y=-25
3x+2y=10
---------------
Simplify -5x+5y=-25 you will get x-y=5
x=y+5
3(y+5)+2y=10
3y+15+2y=10
5y+15=10
5y=10-15=-5
y=-5/5=-1
x=-1+5=4
Answer: x=4, y=-1. (4, -1). 
6 0
2 years ago
Help me please with This no need to explain
Softa [21]
The answer your looking for is D
7 0
2 years ago
Read 2 more answers
Round 10,982 to the nearest thousand
nadezda [96]
11,000 - rounded to the nearest thousand!
4 0
2 years ago
2(x+3) + 6 = 3x - 9 written in word form? HELP!!!
zheka24 [161]
Two multiplied by x plus three plus six is equal to three multiplied by x subtracted by nine
7 0
3 years ago
In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.If there are 30 ounces of green paint how many o
gladu [14]

Answer:

There are 30 ounce of green paint 18 ounces blue paint was needed.

Step-by-step explanation:

Given that,

In order to make green paint a 2:3 ratio of blue paint and yellow paint is used.

Assume 2x blue paint and 3x yellow paint required to make 30 ounce of green paint.

According to the problem,

2x+3x=30

⇒5x=30

\Rightarrow x=\frac {30}{5}

⇒ x=6

The amount of blue paint is = 2×6

                                              =12 ounces

The amount yellow paint is = (3×6)

                                            = 18 ounces

There are 30 ounce of green paint 18 ounces blue paint was needed.

6 0
2 years ago
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