The graphs of the equations y=2x-7 and y-kx=7 are parallel when k equals

Answers

Answer 1

Answer: $y=2x-7 \ and \ y-kx=7 \n \n y=2x-7 \ and \ y=kx+7 \n \n two \ lines \ are \ parallel \ if \ their \ slopes \ are \ the \ same : \n \n k= 2$

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The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:Car A
y = 60x + 10

Car B
y = 40x + 70

After how many hours will the two cars be at the same distance from their starting point and what will that distance be?

2 hours, 150 miles
2 hours, 190 miles
3 hours, 150 miles
3 hours, 190 miles

Answers

when the cars are at the same distance from the starting point the y will be the same for both of the equations.
which means that 60x + 10 = 40x + 70

⇒ 60x-40x=70-10
⇒ 20x=60
⇒ x=3 hours

now that we know the x we can choose an equation and solve it

60x3+10=y⇒
⇒y=180+10
⇒y=190 miles

the correct answer is the last one: 3 hours, 190 miles

If you work an 8 hour shift on each weekend day and take two weeks off during the year, how many hours will you work in a year?

Answers

It can depend Izzybelivaz. I will calculate it for a leap year. 53-14=39, 39x8=312 hours. Now I will calculate it for a regular year. 52-14=38, 38x8=304 hours.

A box contains 3 plains pencils and 7 pens . A second box contains 6 color pencils and 2 crayons one item from each box is chosen at random. What is the probability that a pen from the first box and crayon from the second box are selected

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Well to solve these type of question it is very easy to make a tree diagram and then solve them. How ever i have done it here for you.

So basically we have to get a pen from the first box so its probability is 7 / 10.

Similarly, we have to get a crayon from the second box so its probability is 2 / 8.

Now by counting principle we can multiply the two probabilities so 7/10 * 1/4 which becomes equal to 7/40.

8 4/9 + 5 3/8 = Please explain.

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Ok, so first of all... You've got to get the same numerator. What's a number that 9 and 8 both share? Hmm... How about 72? So then, 9 would be multiplied by 8 and 8 by 9. And so do the denominators. So, your new fraction would be : 8 32/72 + 5 27/72 which equals 13 59/72 The addition part is actually pretty easy. Just add the whole numbers like a normal addition problem and add the denominators to the denominators and the numerator stays the same. Your final answer should be 13 59/72. Hope this helped!

Find the common denominators within the fractions. So take 4/9 and times the top and bottom by 8 to get 32/72 and 5/8 and times top and bottom by 9 so 45/72. So you will then have 8 32/72 + 5 45/72. Then plus them together. 13 77/72 which equals 14 5/72.

Point Mis on line segment LN. Given LN = 9, MN. = 4x, andLM = 5x, determine the numerical length of MN.

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Answer: 4

Step-by-step explanation:

at a concession, stand seven hotdogs and two hamburgers cost $12.75; two hot dogs and seven burgers cost $16.50. find the cost of one hot dog and one burger.

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The answer is $2.25 for the hamburger and $1.25 for the hot dog. I think my answer is right. hope it helps!!

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