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Marizza181 [45]
3 years ago
6

If Kamina can do a job in 43 hours and Simon and Kamina working together can do the same job in 15 hours, find how

Mathematics
1 answer:
jenyasd209 [6]3 years ago
5 0

Answer:

645/28 hours

Step-by-step explanation:

In 1 hour, Kamina does 1/43 of the job.

Simon takes x hour to do the job alone.

In 1 hour, Simon does 1/x of the job.

Together, they do the job is 15 hours, so in 1 hour, they do 1/15 of the job.

1/43 + 1/x = 1/15

15x/(645x) + 645/(645x) = 43x/(645x)

15x + 645 = 43x

28x = 645

x = 645/28

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6) on Monday, 350 students went on a trip to the zoo. All 8
pav-90 [236]

Answer: 58

Step-by-step explanation: You just have to divide 350 and 6

7 0
3 years ago
Write the equation in slope-intercept form of the line that passes through
mixer [17]

Answer:

We conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

  • y=\frac{4}{3}x-7

Step-by-step explanation:

We know the slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the line

y = -3/4x + 1

comparing with the slope-intercept form of the line equation

The slope = m = -3/4

We know that a line perpendicular to another line contains a slope that is the negative reciprocal of the slope of the other line, such as:  

slope = m = -3/4

Thus, the slope of the new perpendicular line = – 1/(-3/4) = 4/3

Using the point-slope form

y-y_1=m\left(x-x_1\right)

where m is the slope of the line and (x₁, y₁) is the point

substituting the values of the slope = 4/3 and the point (12, 9)

y-y_1=m\left(x-x_1\right)

y-9=\frac{4}{3}\left(x-12\right)

Add 9 to both sides

y-9+9=\frac{4}{3}\left(x-12\right)+9

y=\frac{4}{3}x-16+9

y=\frac{4}{3}x-7

Therefore, we conclude that the equation in slope-intercept form of the line that passes through  (12,9) and is perpendicular to the graph of y = -3/4x + 1 will be:

  • y=\frac{4}{3}x-7
7 0
3 years ago
A gardener wants to run a border around the outside of her garden. She plots it on a grid to plan how much she will
Karo-lina-s [1.5K]

Answer:

16 units.

Step-by-step explanation:

Just to make things easy, let's name the points A(3,9) B(5,9) C(3, 3) and D(5, 3).

Because this question wants perimeter, we'll just use the distance formula twice, then l*2 + w*2 = p.

Distance formula is sqrt((x1 - x2)^2 + (y1 - y2)^2) = d.

sqrt((5 - 3)^2 + (9 - 9)^2) = 2

sqrt((5 - 5)^2 + (9 - 3)^2) = 6.

The distance of points A and B is 2 units, and B to D is 6 units, multiply both by 2, (2*2=4, 6*2=12) and add the values to find 16 units.

Hope this helps, and if this is for OW, I feel your pain.

5 0
3 years ago
-3x + 1 + 10x = x + 4<br><br> x = 12<br> x = 18
s344n2d4d5 [400]

-3x + 1 + 10x = x + 4

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6x = 3

x = 3/6

3 0
3 years ago
If you had to add two fractions with denominators of 4 and 5. What might the denominator of the sum be? Show more than one possi
Fiesta28 [93]

Answer:

9

Step-by-step explanation:

4 0
3 years ago
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