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3 years ago

Can someone solve this with explanation?

Mathematics

1 answer:

Flura [38]3 years ago

3 0

If I understand what the question might be, they're asking for the length of BC.
4 points (A, B, C, and D) make up the number line, with a total distance of 3.75 inches.

Line segment BC makes up one-third of the line, so the length of BC is 3.75 divided by 3. When you solve, you'll get 1.25.

So the length of line segment BC is 1.25 inches.

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Including a 5 percent sales tax, a hotel charges $147 per night. What’s the cost without the tax

Arisa [49]

For one night WITH SALES TAX, it would be $154.35, but without sales tax, it would just be $147.. unless you add tip, you would just multipy the original by the percent of the tip then add that answer to the original price.

Solving Steps:

WITH SALES TAX :
$147 x 5% = 7.35 or $147 x .05 = 7.35
147 + 7.35 = $154.35

5 0

3 years ago

The nth term of a sequence is (n + 1) (n + 2).

lions [1.4K]

Answer:

every term has an even factor

Step-by-step explanation:

One of the two factors of the n-th term will be even.

for n odd, n+1 is even
for n even, n+2 is even

If the number has an even factor, it is an even number. Every term of the sequence has an even factor, so every term will be even.

8 0

3 years ago

Anna makes 120 dolls each month to sell. This month, she increases the number of dolls she makes by 30%. How many dolls does Ann

Tresset [83]

30% = .3

120 x .3 = 40

120 + 40 = 160

Anna makes 160 dolls

5 0

3 years ago

What is an equation of the line that passes through the point (-5, -6) and is

Vikentia [17]

Answer: y= 2x +4

Step-by-step explanation:

1. To be able to write the equation of the line, you want to be able to find the slope first. To do so, rearrange the given equation x+2y=2 into slope-intercept form, which is y=mx+b

First subtract x from both side, which will give us 2y=2-x. Rearrange this to get 2y= -x+2. Then, divide both sides by 2. This will give us y= -1/2x+1

2. Now that you have the equation, look for the slope in the new equation; this will be the m value. In this case, the slope is -1/2. Since we are looking for a line that is perpendicular, we have to change the slope so that it is the opposite reciprocal. The opposite reciprocal of -1/2 is 2, so the slope of the equation we want to find is 2.

3. Next, all we have to do is plug the given ordered pair (-5, -6) and the slope that we found (m=2) into the point-slope equation, which is $y-y_{1} = m(x-x_{1} )$

That will give us:

y+6 = 2(x+5)

4. Now, solve this equation.

y+6 = 2(x+5) --> distribute the 2 inside the parentheses

y+6 = 2x + 10 --> subtract 6 from both sides

y= 2x +4

4 0

3 years ago

Oil consumption is increasing at a rate of 1.8% per year. by what factor will oil consumption increase inn 6 years? Use the appr

Vesna [10]

$\frac{70}{1,8} \approx 38.8 \ \ \ \ \ \rightarrow \ the \ amount \ of \ time \ to \ double \ the \ consumption \\ \\
38,8 - 100\% \\ 6 - x \\
38,8 x = 600\% \\x \approx 15.5\% \\ \\
In \ six \ years \ oil \ consumption \ will \ increase \ by \ approximately \ 15.5\%$

6 0

3 years ago

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