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mariarad [96]
2 years ago
5

Find the ratio x:y:z if: X=4y and 2y = 3z​

Mathematics
1 answer:
LiRa [457]2 years ago
8 0

Answer:

x:y:z = 12:3:2

Step-by-step explanation:

x = 4y

2y = 3z ⇒ 4y = 6z

⇒ x = 4y = 6z

To find x:

Multiply the coefficients of y & z: 4 × 6 = 24

To find y:

Multiply the coefficients of x & z: 1 × 6 = 6

To find z:

Multiply the coefficients of x & y: 1 × 4 = 4

⇒ x:y:z = 24:6:4 = 12:3:2

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identify the coordinates of four points on the line with each given slope and y-intercept. slope=-1 and that y-intercept=8
VladimirAG [237]

Answer:

[-1, 9], [-2, 10], [-3, 11], [1, 7]

Step-by-step explanation:

Starting from the y-intercept of [0, 8], I did <em>rise</em><em>\</em><em>run</em><em> </em>by moving one block <em>north</em><em> </em>over <em>one</em> block <em>west</em><em> </em>for the first three coordinates, but retracing back to the y-intercept, I moved one block <em>south</em><em> </em>over <em>one</em> block <em>east</em> for the last coordinate. It does not matter where you go, as long as you follow the pattern within this <em>rate</em><em> </em><em>of</em><em> </em><em>change</em><em> </em>[<em>slope</em>].

I am joyous to assist you anytime.

5 0
3 years ago
If 4 apples cost 0.80, how much do 12 apples cost
Neporo4naja [7]
4 / 0.80 = 12 / x...cross multiply
4x = 0.80 * 12
4x = 9.6
x = 9.6 / 4
x = 2.4.....12 apples cost $ 2.40
3 0
3 years ago
Read 2 more answers
A large plane is able to cruise at 530 miles per hour.<br> What is the ratio of miles per hour?
NeTakaya
530 miles are travelled for every hour passed?
3 0
3 years ago
PLEASE HELP!!
beks73 [17]
<span>Let x = the width
:
It says,"The length of a rectangle is 4 less than 3 times the width." write that as:
L = 3x - 4
:
If the perimeter is 40, find the dimensions of the rectangle.
:
We know: 2L + 2W = 40
:
Substitute (3x-4) for L and x for W
2(3x-4) + 2x = 40
:
6x - 8 + 2x = 40; Multiplied what's inside the brackets
:
6x + 2x = 40 + 8; do some basic algebra to find x; (added 8 to both sides)

:
8x = 48
:
x = 48/8
:
x = 6 which is the width
:
It said that L = 3x - 4, therefore:
L = 3(6) - 4
L = 18 - 4
L = 14; is the length
:
Check our solutions in the perimeter:
2(14) + 2(6) =
28 + 12 = 40</span>
8 0
2 years ago
Read 2 more answers
Help find the missing lengths round to nearest tenth
Mama L [17]

Answer:

<h2>x = 20.8</h2><h2>y = 22.3</h2>

Step-by-step explanation:

  • Theta is 21 degrees
  • x is the adjacent side
  • 8 is the opposite side
  • y is the hypothenuse

SOH - CAH - TOA

Since the opposite side is given and we need to find the length of the adjacent side, we can use tangent to solve for x.

tan 21=\frac{opposite}{adjacent} \\tan 21 =\frac{8}{x} \\0.384 =\frac{8}{x} \\0.384x =8 \\x=\frac{8}{0.384} \\x=20.84

Since the opposite side is given and we need to find the length of the hypotenuse, we can use sine to solve for y.

sin 21=\frac{opposite}{hypotenuse} \\sin21 =\frac{8}{y} \\0.358 =\frac{8}{y} \\0.358y=8 \\y=\frac{8}{0.358} \\y=22.32

6 0
2 years ago
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