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Katarina [22]
3 years ago
5

Shelf A had 40 books and Shelf B had 16 books. After Abigail borrowed an equal number of books from Shelf A and Shelf B, there w

ere 3 times as many books on Shelf A than on Shelf B. How many books did Abigail borrow altogether?
Mathematics
1 answer:
FinnZ [79.3K]3 years ago
8 0

Answer:

120

Step-by-step explanation:

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A line has a slope of -4 and passes through the point (2,-5) <br> which is the equation of the line
dimulka [17.4K]

We will be using the Point Slope formula which is y-y_{1} =m(x-x_{1} )

The information we are given is that m = -4 and the point is (2,-5), so we can input it into the equation.

y- (-5) = -4(x-2)

This simplifies into y+5 = -4x +8

Then we can subtract 5 from each side to get the answer:

y = 4x+3

6 0
3 years ago
Lines l and m are parallel
soldi70 [24.7K]

Answer:

  • m∠ABC = 15°

Step-by-step explanation:

<u>Given</u>

  • m∠ABC = x°
  • m∠BCD = 25°
  • m∠CDE = 55°
  • m∠DEF = 3x°

Add two more parallel lines passing through points C and D.

Consider alternate interior angles formed by the four parallel lines.

<u>The angles between the two middle lines are equal to:</u>

  • m∠BCD - m∠ABC  = m∠CDE - m∠DEF

<u>Substitute values and solve for x:</u>

  • 25 - x = 55 - 3x
  • 3x - x = 55 - 25
  • 2x = 30
  • x = 15

m∠ABC = 15°

4 0
3 years ago
A family owns two businesses that made a combined profit of $$$10 million in the previous financial year, with business B making
Archy [21]

Answer:

The equation to find the profit made by business combined is x+4x = 10.

Business A made $2 million profit and Business B made $8 million profit.

Step-by-step explanation:

Given:

Profit made in previous financial year = $10 million

We need to write an equation to find the profit made by the business.

Solution:

Let the profit (in millions) made by  business A be 'x'.

Let the profit (in millions) made by  business B be 'y'.

Now given:

business B making 4 times as much profit as business A.

so we can say that;

y =4x

Now we know that;

Profit made in previous financial year is equal to sum of profit (in millions) made by  business A and profit (in millions) made by  business B.

framing in equation form we get;

x+y =10\ million

Substituting the value of y in above equation we get;

x+4x = 10

Hence The equation to find the profit made by business combined is x+4x = 10.

On Solving above equation we get;

5x =10\\\\x =\frac{10}{5} = \$2 \ million

profit (in millions) made by  business A = \$2 \ million

profit (in millions) made by  business B = 4x =4\times 2 =\$8 \ million

Hence Business A made $2 million profit and Business B made $8 million profit.

8 0
3 years ago
What is (-3)x(5-7)-9(39/3)
Orlov [11]

Answer:-111

Step-by-step explanation:

3 0
3 years ago
HELP FAST I NEVER SAW THIS BEFORE IN MY LIFE<br><br> I'll mark brainliest for the best answer!!
OlgaM077 [116]

Answer:

GIRL NO WAY IM LITTERALY TAKING THAT TEST RN AND IM TRYING TO FIGURE OUT THAT SAME QUESTION LOL

Step-by-step explanation:

BUT I THINK ITS -0.5 DONT TAKE MY WORD FOR IT IM JUST ASSUMING ITS THE ANSWER BC ITS THE ONLY ONE THAT MAKES SENSE

8 0
2 years ago
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