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3 years ago

What is the solution to the following equation 4(-2x+3)=10x-15

1 answer:

3 0

$4(2x + 3) = 10x - 15 \\ \\ 1. \: - 8x + 12 = 10x - 15 \\ 2. \: 12 = 10x - 15 + 8x \\ 3. \: 12 = 18x - 15 \\ 4. \: 12 + 15 = 18x \\ 5. \: 27 = 18x \\ 6. \: \frac{27}{18} = x \\ 7. \: \frac{3}{2} = x \\ 8. \: x = \frac{3}{2}$

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» Which pair of numbers has an LCM of 60? 2 and 12 5 and 12 6 and 12 3 and 12

Mariana [72]

Answer: 5 and 12

Step-by-step explanation:

2 and 12 is not it because 12 can be divided by 2 meaning that the LCM of those two numbers will be 12.

6 and 12 is not it because 12 can also be divided by 6 meaning that the LCM of 6 and 12 is also 12.

3 and 12 is also the same, 12 can be divided by 3 so their LCM will be 12.

With 5 and 12, 12 is not divisible by 5 so you will have to find the multiples of 5 and 12 and it will eventually be 60.

Multiples of 5: 5, 10,15,20,25,30,35,40,45,50,55,60,65

Multiples of 12: 12, 24, 36, 48, 60, 72

As it appears in both multiples, 60 is the least number that appears in both multiples so the LCM of 5 and 12 is 60.

3 0

3 years ago

Read 2 more answers

tongue tied sauces inc finds that the revenue in dollars from the sale of x bottles of barbeque sauce is given by

charle [14.2K]

Answer:

The answert is "$0.007 / bottle".

Step-by-step explanation:

Please find the complete question in the attachment file.

$\to R(x) =7.5x^{0.7}$

The average income:

$\to A(x) = \frac{R(x)}{x} =7.5 x^{-0.3}$

The change rate on the average revenue:

$\to A'(x) =7.5(-0.3)x^{-1.3}$

when 81 bottles were produced , then the rate of change in average revenue

$\to =A'(81)\\\\\to -0.007 \ / \ bottle$

The average income is decreasing at rate = $0.007 / bottle

4 0

2 years ago

Quadrilateral ABCD is inscribed in this circle.

fgiga [73]

Assuming the sum of the opposite angle would be 180. We can easily calculate for x and ultimately solve for the angle of B. We do as follows

B + D = 180
3x-12 + x = 180
4x - 12 = 180
4x = 192
x = 48 degrees

Therefore angle B would have a measurement of 132 degrees. Hope this helps.

3 0

3 years ago

Read 2 more answers

What is the compounded interest after 3 years if you invest $10 000 and earn an interest rate of 5% per year?

denis23 [38]

Compound Interest is the interest that is compounded on a particular sum of money or investment over a given period of time.

The interest for the first year is $1,576.25
The sum of money after adding the original to the interest is $11,576.25
The interest on the new total is $13,400.96

Step 1: Find the interest for the first year.

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $10,000

R = Rate = 5%

n = 1

t = 1

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 10,000(1 + 0.05/1)^(1)(3)

A = 10,000.00(1 + 0.05)^(3)

A = $11,576.25

I = A - P

Hence:

I = $11,576.25 - $10,000.00

I (interest) = $1,576.25

Step 2: Add the interest to the original amount.

$10,000 + $1,576.25

= $11,576.25

Step 3: Determine interest in the new total

The formula is given as:

A = P(1 + r/n)^nt

P = Principal = $11,576.25

r = 0.05 rate per year,

Then solve the equation for A

A = P(1 + r/n)^nt

A = 11,576.25(1 + 0.05/1)^(1)(3)

A = 11,576.25(1 + 0.05)^(3)

A = $13,400.96

Therefore,

The interest for the first year is $1,576.25
The sum of money after adding the original to the interest is $11,576.25
The interest on the new total is $13,400.96

To learn more, visit the link below:

brainly.com/question/16020930

5 0

3 years ago

0.2 ( 10 - 5c ) = 5c - 16

Mumz [18]

Answer: c = 3

Step-by-step explanation: Distribute 0.2 to (10-5c)

2-1c=5c-16

Then subtract 2 on both sides and subtract the 5c.

-1c=5c-18

-6c=-18

Then divide -6 to -18

-18/-6 = 3

8 0

3 years ago

Read 2 more answers