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Dmitrij [34]
3 years ago
10

If a/b= 8 and ac -5 = 11, then bc =?

Mathematics
1 answer:
Klio2033 [76]3 years ago
5 0

Answer:

bc = 2

Step-by-step explanation:

From a/b = 8

a=8b (times b on both sides)

We can then substitute a for 8b:

ac-5=11 (given equation)

8bc-5=11

8bc=16

bc=2

I hope this helps :)

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I SPENT 50 POINTS ON THIS, PLEASE HELP
Anestetic [448]

In the figure, we can consider that the base is the side that mesures 12 in and that the height is the side that measures 15 in, since that sides are perpendicular. So, we just need to use the given formula:

A = \dfrac{bh}{2}\Longrightarrow A = \dfrac{12\cdot15}{2}\Longrightarrow A=6\cdot15\Longrightarrow \boxed{A = 90~\text{in}^2}

Hence, the area of the triangle is 90 in² (B).

5 0
3 years ago
Read 2 more answers
Carlos is helping his grandmother make a rug.They have 5 yards of fabric,which is equal to 180 inches.They need an additional of
lesya692 [45]

Answer:

162 inches.

Step-by-step explanation:

Please consider the complete question.

Carlos is helping his grandmother make a rug. They have 5 yards of fabric, which is equal to 180 inches. They need an additional of 4 1/2 yards of fabric to finish the trim. How many inches are in 4\frac{1}{2} yards?

Let us convert 4\frac{1}{2} into improper fraction as:

4\frac{1}{2}=\frac{4\cdot 2+1}{2}=\frac{8+1}{2}=\frac{9}{2}

Now, we will use proportions to solve our given problem as:

\frac{\text{Inches}}{\text{Yard}}=\frac{180}{5}

\frac{\text{Inches}}{\text{Yard}}=36

1\text{ Yard}=36\text{ Inches}

To find number of inches in 9/2 yards, we will multiply 9/2 by 36 as:

\frac{9}{2}\text{ Yards}=\frac{9}{2}\times 36\text{ Inches}

\frac{9}{2}\text{ Yards}=9\times 18\text{ Inches}

\frac{9}{2}\text{ Yards}=162\text{ Inches}

Therefore, there are 162 inches in 4\frac{1}{2} yards.

5 0
4 years ago
15% of tickets sold are child tickets if there were 460 tickets sold on Saturday how many were sold too children
Feliz [49]
The answer would be 69 because u need to convert the percentage to a decimal which would be .15 and multiply by 460 and get 69
4 0
4 years ago
Vanessa typically works 8 hours per day in a normal 5 day work week. last week, however, vanessa had to take 90 minutes off on t
Rasek [7]

The total number of hours Vanessa work in a week is:

total work hours = (8 hours / day) * 5 day / week

total work hours = 40 hours per week

The total number of hours she did not work:

<span>total hours did not work = (90 minutes)(1 hour / 60 minutes) + (45 minutes)(1 hour / 60 minutes)  + 2.5 hours</span>

total hours did not work = 4.75 hours

The amount of hours Vanessa work last week can be calculated using the formula:

work hours = total work hours - total hours did not work

work hours = 40 hours – 4.75 hours

<span>work hours = 35.25 hours</span>

4 0
3 years ago
2. Determine whether each of these sets is finite, countably
lesya692 [45]
A) the integers greater than 10

countable infinite: 1 -> 11; 2 -> 12; 3 -> 13; 4-> 14; 5->15; ...

b) the odd negative integers

countable infinite: 1-> -1; 2-> -3; 3-> -5; 4-> -7; 5-> -9; ...

c) the integers with absolute value less than 1,000,000

finite (-999,999; -999,998; -999,997;...0;...; 999,997;999,998;999,999)

d) the real numbers between 0 and 2

uncountable
e) the set A _ Z+ where A = {2, 3}

finite (it is empty)

f ) the integers that are multiples of 10

countable infinite: 1-> 10; 2-> -10; 3-> 20; 4-> -20; 5-> 30; 6-> -30;...
8 0
3 years ago
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