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vampirchik [111]
2 years ago
15

Sam and Paul started a business. Their investments were in the ratio 6 : 7, respectively. How much did Paul invest if Sam's inve

stment was $828?
Mathematics
1 answer:
salantis [7]2 years ago
4 0

Answer:

$966

Step-by-step explanation:

6/7 =  828/x

Write a proportion.

6x = 7(828) Use cross products.

6x = 5796 Multiply.

x = 966 Divide both sides by 6.

Paul's investment was $966.

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In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.
Mila [183]

Answer:

JL = 32

Step-by-step explanation:

We are told in the above question that:

In triangle △JKL, ∠JKL is right angle, and KM is an altitude. JK=24 and JM=18, find JL.

From the attached diagram, we can see that

JL : JK = JK: JM

Therefore,

JL/ JK = JK /JM

Where JL = Unknown

JK = 24

JM = 18

JL/ 24 = 24/18

Cross Multiply

24 × 24 = JL × 18

Divide both sides by 18

JL = (24 × 24) /18

JL = 576/18

JL = 32

8 0
3 years ago
An arithmetic sequence has the following properties:
WINSTONCH [101]

Answer:

Easy peasy

Step-by-step explanation:

7+(n-1)5

3 0
3 years ago
I need help i don’t understand
suter [353]
The answer should be B, in other words 41
8 0
2 years ago
2/4 + 3/9 in Modeling Fractions?
horrorfan [7]

Answer: 13/12

Step-by-step explanation:

Reduce the fraction 3/9 to the lowest terms by extracting and canceling out 3.

The least common multiple of 4 and 3 is 12. Convert 3/4 and 1/3 to fractions with denominator 12.

Since 9/12 and 4/12 have the same denominator, add them by adding their numerators.

Add 9 and 4 to get 13.

5 0
2 years ago
ABDE is a rectangle on coordinate axes, the sides of the rectangle are parallel to the axes,
Hitman42 [59]

The coordinates of B and D are the location of the vertices B and D in the rectangle

The coordinates of B and D are (55, 30) and (55, 14)

<h3>How to determine the coordinates of B and D?</h3>

From the figure of the rectangle, we have:

A = (25,30)

C = (40, 22)

Point B has the same y-coordinate as point A

So, we have:

B = (x, 30)

The x-coordinate is then calculated as:

Bx = 2Cx - Ax

This gives

Bx = 2*40 - 25

Bx = 55

So, the coordinates of B are:

B = (55, 30)

Point D has the same x-coordinate as point B

So, we have:

D = (55, y)

The y-coordinate is then calculated as:

Dy = Cy - (By - Cy)

This gives

Dy = 22 - (30 - 22)

Dy = 14

So, the coordinates of B are:

D = (55, 14)

Hence, the coordinates of B and D are (55, 30) and (55, 14)

Read more about rectangles at:

brainly.com/question/10737082

8 0
2 years ago
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