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Alina [70]
3 years ago
13

Dami works 4 times as many hours per week as Cooler. Together they work a total of 49 h One week. Find the number of hours worke

d by each person
Mathematics
1 answer:
Ahat [919]3 years ago
8 0

Answer:

Cooler - 9.8 hours   |   Dami - 39.2 hours

Step-by-step explanation:

If Dami works 4 times as much as Cooler, and Cooler works x hours every week, then Dami works 4*x hours every week, or 4x. Since the combined time they work is 49 hours, we can represent this in the equation 4x+x=49, or 5x=49. Dividing both sides by 5 we get x=9.8.

Since Cooler works x hours every week, he worked for 9.8 hours. And since Dami works 4x hours every week, she worked 4*9.8 hours=39.2 hours.

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8 is (7+4)/(7+4+5+9) = 11/25 = 0.44

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5 0
2 years ago
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olga2289 [7]

Answer:

HL

Step-by-step explanation:

The things that are congruent between the 2 triangles are the 90° angles and the hypotenuses and legs. HA and LA only work with the acute angles, not right angles, and AA isn't a way of proving things to be congruent, meaning that HL is the answer

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3 years ago
Read 2 more answers
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Mnenie [13.5K]

Answer:

$960

Step-by-step explanation:

1/5= .2

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7 0
2 years ago
Read 2 more answers
K is the midpoint of PQ, P has
Pachacha [2.7K]

Answer:

Coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

Step-by-step explanation:

We are given:

K is the midpoint of PQ

Coordinates of P = (-9,-4)

Coordinates of K = (-1,6)

We need to find coordinates of Q  (x_2,y_2)

We will use the formula of midpoint: Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

We are given midpoint K and x_1,y_1 the coordinates of P we need to find x_2,y_2 the coordinates of Q.

Midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\(-1,6)=(\frac{-9+x_2}{2},\frac{-4+y_2}{2})\\

Now, we can write

-1=\frac{-9+x_2}{2}, 6=\frac{-4+y_2}{2}\\Simplifying:\\-2=-9+x_2\:,\: 12=-4+y_2\\-2+9=x_2\:,\: 12+4=+y_2\\x_2=7\:,\:y_2=16

So, we get coordinates of Q (x_2,y_2) \:are\: \mathbf{(7,16)}

Option D is correct option.

6 0
3 years ago
The Nuthouse offers a mixture of soy nuts and almonds, Almonds
elena55 [62]

Answer:

  14 pounds

Step-by-step explanation:

The given equations can be solved for y by substituting for x. The first equation is convenient for writing x in terms of y.

<h3>Solution</h3>

  x = 20 -y . . . . . . . subtract y from the first equation

  7(20 -y) +5.5y = 119 . . . . . substitute for x in the second equation

  140 -1.5y = 119 . . . . . . . . simplify

  21 = 1.5y . . . . . . . . . . . add 1.5y -119 to both sides

  14 = y . . . . . . . . . . . .divide by 1.5

14 pounds of soy nuts should be used in the mixture.

__

<em>Additional comment</em>

There are many ways to solve a system of two linear equations. The attachments shows a matrix solution using a suitable calculator. It tells us that x=6 and y=14, as we found above.

6 0
1 year ago
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