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lesantik [10]
4 years ago
14

Solve for the value of x: 3x + 25 = 2/3 (6x - 15)​

Mathematics
1 answer:
n200080 [17]4 years ago
3 0

3x + 25 = 2/3 (6x - 15)

9x + 75 = 12x - 30

75 + 30 = 12x - 9x

3x = 105

x = 105 : 3

x = 35

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HELP An investor invested a total of $2,800 in two mutual funds. One fund earned 5% profit while the other earned 3% profit. If
Musya8 [376]

Answer:

The amount invested in the mutual fund that earned 5% was $1,000

The amount invested in the mutual fund that earned 3% was $1,800

Step-by-step explanation:

Let

x ----> the amount invested in the mutual fund that earned 5%

y ----> the amount invested in the mutual fund that earned 3%

we know that

x+y=2,800 ----> y=2,800-x ----> equation A

5\%=5/100=0.05

3\%=3/100=0.03

0.05x+0.03y=104 ----> equation B

Solve the system by substitution

substitute equation A in equation B

0.05x+0.03(2,800-x)=104

Solve for x

0.05x+84-0.03x=104

0.05x-0.03x=104-84

0.02x=20

x=\$1,000

<em>Find the value of y</em>

y=2,800-x

y=2,800-1,000=\$1,800

therefore

The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800

5 0
4 years ago
What is the discimiant of 9x2+2=10x?
Marina CMI [18]

Answer:

28

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The radius of a sphere is multiplied by 1/7. What effect does this have on the volume of the sphere?
Cloud [144]

Answer:

The new volume is 1/343 of the old volume or the ratio of the new volume to the old volume is 1 to 343

Step-by-step explanation:

In this question, we are asked to state the effect of multiplying the radius of a sphere by 1/7 on the volume.

Mathematically, the volume of a sphere V can be calculated using the formula

V = 4/3 * π * r^3

Now multiplying the radius by 1/7, the new radius will be r/7

Thus the new volume here will be

V2 = 4/3 * π * (r/7)^3

V2 = 4/3 * π * (r^3)/343

Thus we can conclude that the value of the volume will be decreased by a factor of 343

Meaning the ratio of the old volume to the new volume will be 1 to 343

3 0
3 years ago
Read 2 more answers
Julie and her family go to the movies. They buy 2 adult tickets and 3 child tickets. An adult ticket costs $3.50 more than a chi
solniwko [45]

Answer:

$5.75

Step-by-step explanation:

First we will make an equation. We will put child tickets as x, and adult tickets as x+3.50. =

2x+7+3x=35.75=

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x=5.75

4 0
3 years ago
Algebra question please help
Oksana_A [137]

D. 15s +80t less than or equal to 4

hope that this helped you hon :)

4 0
3 years ago
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