Taylor and Abby shared a $55 cash prize in the ratio 2:3. How much money did Taylor get?

Answers

Answer 1

Answer: the 2 to 3 ratio means there was 5 equal shares. because 2 plus 3 is 5

so if you divide 5 into 55 you get 11. each share is 11.

then multiply 11 by or 3 (depending on the person) in this case 2 because we want to know about Taylor

2 times 11 is 22.

Taylor got 22 dollars

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What is an equation of the line that passes through the point (−5,−1) and is parallel to the line 4x+5y=45?

Answers

Answer:

y = -4/5x - 5

Step-by-step explanation:

4x + 5y = 45

we need to write it in slope intercept form, so:

5y = -4x + 45

y = -4/5x + 45/5

y = -4/5x + 9

The line is parallel so the slope will be -4/5x, point ( -5 -1 )

y = mx + b

-1 = -4/5(-5)+b

-1 = 4 + b

-1 - 4 = b

-5 = b

y = -4/5x - 5

The equation of the line that passes through the point (-5, -1) and is parallel to the line 4x + 5y = 45 is $y = -(4)/(5)x - 5$ .

What is the equation of the parallel line?

Given the parameter:

Equation of the original line: 4x + 5y = 45

Point of the parallel line: (-5,-1)

First, we determine the slope of the original line:

4x + 5y = 45

4x - 4x + 5y = -4x + 45

5y = -4x + 45

y = (-4/5 )x + 45/5

y = (-4/5 )x + 9

Hence, the slope is -4/5.

Since the slope of the parallel line will be the same as that of the original line.

Plug the slope m = -4/5 and point (-5,-1) into the point-slope formula and simplify.

( y - y₁ ) = m( x - x₁ )

$y - (-1) = -(4)/(5)(x - (-5)) \n\ny + 1 = -(4)/(5)(x + 5) \n\ny + 1 = -(4)/(5)x - 4\n\ny = -(4)/(5)x - 4 - 1\n\ny = -(4)/(5)x - 5$

Therefore, the equation of the parallel line is $y = -(4)/(5)x - 5$ .

Learn more about equation of line here: brainly.com/question/2564656

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Which part of the expression is a constant 3x + 4

Answers

the constant of the fraction is the 4

Please help asap 20 pts

Answers

D. If you were to solve for x, the x values you would get would be 1.3743 and -1.3743.

Is (2,4) a solution of 3x - y = 2?

Answers

yes because when filling in the unknown (3*2-4=2) gets you the answer of 2.

Answer: Yes, it is a solution.

Step-by-step explanation:

3(2)=6-4=2

Tomas bought a book that cost $18. it was on sale for 84% of its original price. how much did tomas pay

Answers

Answer: 15.12

Step-by-step explanation:

84% of 18

=84/ 100 × 18

=84× 18 / 100

=1512/100

=15.12

The original price is $15.12

You said so yourself, Tomas paid $18.
The original price of the book was about $21.43.

Plot the data points on the graph below. Make sure you use the corresponding color dot for the point according to the following: 1st point - yellow dot, 2nd point - blue dot, 3rd point - green dot, 4th point - red dot, 5th point - pink dot, 6th point - purple dot. x values y values 1 18 2 9 3 6 6 3 9 2 18 1 (Inverse relationship, k = 18)

Answers

Hello,

Please, see the attached graph.

Thanks.

Answer: :)

Step by Step: :)

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