Divide 180 in a ratio of 4:5:9

Answers

Answer 1

Answer: ratio in which 180 should be divided is 4:5:9
firstly we need to find the total number of portions
this we can find by adding all the numbers making up the ratio
4 + 5 + 9 = 18
180 is made of 18 portions
size of 1 portion = 180 / 18 = 10
when dividing 180 into the respective ratio 4:5:9 the portions are as follows
4 x 10 = 40
5 x 10 = 50
9 x 10 = 90
therefore when we divide 180 in the ratio 4:5:9
the answer we get is
40 :50: 90

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Corey and his two friends, Alex and Carl, have a combined weight of 405 pounds. Corey weighs 127 pounds. Alex weighs at least 130 pounds, but no more than 145 pounds. Which inequality represents Carl's weight (x)?
12 1/4 - 5 2/3 subtract fraction with remaining
Derive the equation of the parabola with a focus at (−5, 5) and a directrix of y = -1.
Rewrite each equation below. Then solve your new equation. Be sure to check your solution using the original equation.(n+4)+n(n+2)+n=0
(-2x) 4O A. – 16x4O B. -8x4O C. -2xtO D. 84O E. 16x4

9x+2y=36
9x+8y=36
What is the answer

Answers

$\left \{ {{9x+2y=36} \atop {9x+8y=36}} \right. \n y=- (2)/(9)x+4 \n 9x+8(- (2)/(9)x+4) \n 9x+ (16)/(-9) x+32 \n 8 (2)/(9)x+32$

Daltons dad rode 1 kilometer north 2 kilometers west 1 kilometer south and 2 kilometers east. Dalton rode the same path 5 times . How many kilometers farther did dalton ride?

Answers

Answer:

Dalton didn't ride any kilometer farther since he keeps threading in the same path as that of his father.

Step-by-step explanation:

If Dalton's dad rode 1 kilometer north, 2 kilometers west 1 kilometer south and 2 kilometers east, then he has been moving in a rectangular path.

If Dalton rode in the same path 5times, then Dalton's has not move farther than his dad since he is still moving in the same rectangular path. He is only expending more energy.

Their final destination will still be the same for both of them no matter how many times Dalton keeps threading in the same path.

Answer:

Step-by-step explanation

Heather built a geometrically similar model of the great pyramid. The height of the actual pyramid is approximately 147 meters. Heathers model is 98 millimeters in height. The width of the base of the actual pyramid is 231 meters. Which measurement is closest to the width of the base of Heathers model?

Answers

Answer:

154 millimeters

Step-by-step explanation:

Answer:

154

Step-by-step explanation:

Plato test said i was right

Reduce the fraction to lowest terms. 75a^2b / 25ab^2

Answers

$(75a^2b)/(25ab^2) =\boxed{\bf{(3a)/(b)}}$

75a^2b/25ab^2
= 75x axaxb /25xaxbxb
=3a/b

Kari and Julie are practicing for basketball tryouts. Kari makes 3 less than twice as many baskets as Julie. Write an expression with two terms for the number of baskets that Kari makes. Explain how you found your expression

Answers

Answer:

X= 2y - 3

Step-by-step explanation:

Kari makes X tryouts. She also makes 3 less than twice as many as Julie which would be X= 2y - 3

Julie makes y tryouts and twice would be 2y.

Scott has 1/3 of the computer games as Anish, and Anish has 1/2 as many games as Nick. Together they have 140 games. How many do they have each?Scott has......
Anish has......
Nick has......

Answers

Scott = Anish ÷ 3 or 1/3 Anish
Anish = Nick ÷ 2 or 1/2 Nick
S + A + N = 140
1/6 N + 3/6 N + 6/6 N = 10/6 N (140)
10/6 N = (140)
140 ÷ 10 = 1/6 N (14) = Scott
9/6 N (126) - 3/6 (42 = Anish) = N = 84
S = 14
A = 42
N = 84

CHECK?

14 = 1/3 of 42
42 = 1/2 of 84
14 + 42 + 84 = 140 :)

let x = # of computer games nick has
then
Anish has 1/2x games
and
Scot has 1/2*1/3 = 1/6x games
thus
1/6x + 1/2x + x = 140
1/6x + 3/6x + x = 140
10/6x = 140
10x =140* 6
x = 84 > Nick
1/2x = 42 > Anish
1/6x = 14 > Scot

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