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borishaifa [10]
3 years ago
11

Solve for x: 4x(3y-2)=7x+11

Mathematics
2 answers:
kupik [55]3 years ago
7 0

Answer:

x=11(12y-15)

Step-by-step explanation:

4x(3y-2)=7x+11

12xy-8x=7x+11

12xy-8x-7x=11

12xy-15x=11

x(12y-15)=11

x(12y-15)/(12y-15)=11/(12y-15)

x=11/(12y-15)

g100num [7]3 years ago
7 0

Answer: x=\frac{11}{12y-15}

Step-by-step explanation:

To solve for x, we want to isolate the variable.

4x(3y-2)=7x+11      [distribute]

12xy-8x=7x+11       [subtract both sides by 7x]

12xy-8x-7x=11       [combine like terms]

12xy-15x=11             [factor out x]

x(12y-15)=11             [divide both sides by 12y-15]

x=\frac{11}{12y-15}

Now, we know that x=\frac{11}{12y-15}.

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amid [387]

Answer:

a) $86.11

b) $467.33

Step-by-step explanation:

no. of gallons saved 'n' per year

n = (10000/33) - (10000/36)

n = 2500/99

Amount saved = 3.41×n = 3.41×2500/99

= $86.11

b) over 5 years:

86.11( 1 + (1.041) + (1.041)² + (1.041)³ + (1.041)⁴ )

= 86.11(5.427157431)

= $467.33

6 0
3 years ago
A line has a slope of 5 and passes through the point
podryga [215]

Answer:

Step-by-step explanation:

The equation is mx+b=y.

M=slope (in this case 5)

x=x coordinates

b=y intercept

y=y coordinates

For the x and y coordinates, I'll use (2,0).

5(2)+_=0

10+_=0.

In this case, we only have one awnser, -10. Since 10+(-10) are the only ways to equal 0.

Hope this helps,

5 0
3 years ago
Hey! Please help me
mafiozo [28]

Answer:

Exact: 10.08

To 1 decimal place: 10.1

Step-by-step explanation:

Just ask.

Hope this helps.

3 0
2 years ago
Does anyone know the answers to these?
dem82 [27]

Step-by-step explanation:

a. The point estimate is the mean, 47 days.

b. The margin of error is the critical value times the standard error.

At 31 degrees of freedom and 98% confidence, t = 2.453.

The margin of error is therefore:

MoE = 2.453 × 10.2 / √32

MoE = 4.42

c.  The confidence interval is:

CI = 47 ± 4.42

CI = (42.58, 51.42)

d. We can conclude with 98% confidence that the true mean is between 42.58 days and 51.42 days.

e. We can reduce the margin of error by either increasing the sample size, or using a lower confidence level.

3 0
3 years ago
a fruit farm grows 4486 apple trees in 5 different Orchards each Orchard has about the same number of apples trees which is the
wariber [46]

Answer:

897.2

Steps:

1) 4486 divided by 5 = 897.2

2) Estimate:

We know that if the number is less than 5 the number in front of it stays the same, so the answer will be 897.

5 0
3 years ago
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