MATHEMATICS MIDDLE SCHOOL

the ratio of the point (-3,k) divides the line segment joining the points (-5,-4) and (-2,3) also find the value of k

Answers

Answer 1

Answer:

Answer:

Step-by-step explanation:

midpoint theorem : (mx₂+nx₁/m+n , my₂+ny₁/m+n)

(-3, k) = ( -3*-2 + k*-5/-3+k , -3*3 + k*-4/-3+k)

(-3, k) = (6-5k/-3+k , -9-4k/-3+k)

Compare x values of both side ;

-3 = 6-5k/-3+k

-3 *( -3+k) = 6-5k

-3*-3 +k *-3 = 6-5k

9 -3k = 6- 5k

5k -3k = 6 - 9

2k = -3

k= -3/2

Answer 2

Answer: Step by step equation

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Answers

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simon is making wreaths to sell. He has 60 bows, 36 silk roses, and 48 silk carnations. He wants to put the same number of items on each wreath. All the items on a wreath will be the same type. How many items can Simon put on each wreath?

Answers

If he wants the same amount of each item on the wreaths we need to find the factors of each to find the highest amount of wreaths he can make.
60=2×2×3×5=(2×2×3)×5
36=2×2×3×3=(2×2×3)×3
48=2×2×2×2×3=(2×2×3)×2×2
so 2×2×3 is in each which is equal to 12 so he can make 12 wreaths with remaining factors being the amount of each item.

12 wreaths
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What is the value of the expression (-8/9) + (-2/3) x (-4 1/2)

Answers

$(4)/(9)$

I hope this this is what you need ..

A window washer uses the proportional relationship y = kx to determine how long (y) it will take him to wash any number of windows (x). It takes the window washer 8 hours to wash 250 windows. What is the value of kA) k = 242
B) k = 258
C) k = 0.032
D) k = 31.25