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djverab [1.8K]
3 years ago
10

Given the points J(4,-7) and L(-2, 13) find the coordinates of point K on line JL such that the ratio of JK to JL 1:4

Mathematics
1 answer:
Anastasy [175]3 years ago
4 0

Answer:

The answer is K(2.5,-2)

Step-by-step explanation:

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A collection of nickels and dimes is worth $9.45. If the number of dimes is doubled, the value is
eduard

Answer:

The number of nickels is 45 and the number of dimes is 72.

Step-by-step explanation:

Let

x ----> number of nickels

y ----> number of dimes

Remember that

1\ nickel=\$0.05

1\ dime=\$0.10

so

0.05x+0.10y=9.45 ------> equation A

0.05x+0.10(2y)=16.65

0.05x+0.20y=16.65 ------> equation B

<em>Solve the system by substitution</em>

we have

0.05x+0.10y=9.45 ------> equation A

0.05x+0.20y=16.65 ------> equation B

Multiply both equations by 100 both sides

5x+10y=945 ---->5x=945-10y --> equation C

5x+20y=1,665 ----> equation D

substitute equation C in equation D

(945-10y)+20y=1,665

solve for y

945+10y=1,665

10y=1,665-945

10y=720

y=72\ dimes

Find the value of x

5x=945-10y

5x=945-10(72)

5x=225

x=45\ nickels

<em>Alternative Method</em>

Solve the system by graphing

Remember that the solution is the intersection point both graphs

using a graphing tool

the solution is the point (45,72)

therefore

The number of nickels is 45 and the number of dimes is 72.

7 0
3 years ago
A cookie factory uses 1/3 of a bag of flour in each batch of cookies. The factory used 2/3 of a bag of flour yesterday. How many
Mumz [18]

Answer:

They made 2 batches

Step-by-step explanation:

If the factory used ⅔, and 1 batch is ⅓, the factory made 1 batch for each 3rd they used. ⅔, 2 batches

7 0
3 years ago
1. 8x-x <br> solve <br> I NEED HELPPP ASAP
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Answer:

<h2>7x</h2>

Step-by-step explanation:

8x-x\\\mathrm{Add\:similar\:elements:}\:8x-x=7x

4 0
3 years ago
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I need help with my math
stepladder [879]

Answer:

28.26

Step-by-step explanation:

π r² = A

A = (3.14) (3²)

A = 3.14 · 9 = 28.26

8 0
3 years ago
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Match each system of linear equations with the correct number of solutions
kondaur [170]

Answer:

Hey there!

The first equation has no solutions, as it is parallel lines.

The second equation has infinitely many solutions, as it is basically the same line, and the two lines intersect at infinite points.

The third equation is just one solution.

Let me know if this helps :)

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3 years ago
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