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andrew-mc [135]
3 years ago
13

WORTH 50 POINTS | Which is equivalent to 8/12 = x/9

Mathematics
1 answer:
kaheart [24]3 years ago
8 0

\\ \sf\longmapsto \dfrac{8}{12}=\dfrac{x}{9}

\\ \sf\longmapsto 12x=8(9)

\\ \sf\longmapsto 12x=72

\\ \sf\longmapsto x=\dfrac{72}{12}

\\ \sf\longmapsto x=6

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Sally can detail a car in 50 minutes. Manny does the same job in 35 minutes. How long will it take them to detail a car working
Debora [2.8K]

<u>Answer:</u>

Both Sally ans Manny can detail a car in 20.6 min.

<u>Solution: </u>

Let us assume that together they will take total x minutes to detail the car.

Sally detail the car in 50 min.

So in 1 min sally can detail \left(\frac{1}{50}\right) of the car.

Hence in x min sally can detail \left(\frac{x}{50}\right) of the car.

Manny can detail a car in 35 min.

So in 1 min many can detail \left(\frac{1}{35}\right) of the car.

Hence in x min Manny can detail \left(\frac{x}{35}\right) of the car.

So we can say,

\left(\frac{x}{50}\right)+\left(\frac{x}{35}\right)=1

x\left(\frac{1}{50}+\frac{1}{35}\right)=1

x\left(\frac{7+10}{350}\right)=1

\left(\frac{17 x}{350}\right)=1

17 x=350

x=\left(\frac{350}{17}\right)=20.5 8\approx 20.6

So, both of them can detail a car in 20.6 min.

3 0
3 years ago
Write the equation of the graph
olchik [2.2K]

Answer:

y = 2.cos(x) - 2

Step-by-step explanation:

1. Shifting cos(x) right or left, top or down, as the graph in the question has the same illustration of  cos(x). Consider

y = a.cos(x) + b

2. find a and b by using two sample points from the graph: (0, 0) and (\pi, -4)

0 = a.cos(0) + b  => a + b = 0\\ -4 = a.cos(\pi) + b => b-a=-4\\\left \{ {{2b=-4} \atop {2a=4}} \right.\\a = 2, b=-2\\

5 0
3 years ago
The area of a triangle is 20 cm², and the
grandymaker [24]

Answer:

Heavenly,  we need the forumula for the area of a triangle, do you know it?

Step-by-step explanation:

Area of a triangle is (1/2 ) * B*H

where B = base

H = height

then

A = 1/2* B * H

A is given to be 20

B = b

H = b+4

plug all those into the formula,

20 = (1/2)*b*(b+4)

use your algebra skillz  :P

20 = 1/2 *( b^{2} + 4b)

20*2 = b^{2} + 4b

40 = b^{2} + 4b

0 = b^{2} + 4b-40

rewrite the above so it's in x format

x^{2} + 4x -40 = 0

use the quadratic formula to find  x  , and for our problem, remember that x represents the base,  or b,  but don't mix it up with the b in the quadatic fomula,  with the b of the triangle, which is the base,  they are differnt "b"s   :P

X = (b±\sqrt{b^{2}-4*a*c } ) / 2*a

a = 1

b = 4

c = -40

x = (4±\sqrt{4^{2}-4*1*(-40) }  ) /2*1

x = ( 4±\sqrt{16+160} ) / 2

x = (4±\sqrt{176} ) / 2

x = (4±13.266499)/2

x= 2±6.633249

x = 2 + 6.633249 = 8.633

b= 8.633 cm

5 0
2 years ago
Answer for brainlest and 10 points
valkas [14]

Answer:

Rational

Step-by-step explanation:

This can be reduced to a ratio of 1/2. Numbers that can be expressed as ratios are rational.

7 0
3 years ago
Solve the inequality<br> 1/6 w≥2.5
ale4655 [162]

Answer:w is equal or more than 15

Step-by-step explanation:

6 0
3 years ago
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