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4 years ago

In a cross country marathon jack and ted ren a total of 81 kn. Ted ran 5kn farther than jack how far did each of them run?

Mathematics

1 answer:

kotegsom [21]4 years ago

3 0

Answer:

Jack ran 38 km and Ted ran 43 km.

Step-by-step explanation:

Let Jack’s displacement be $x$

$x + (x+5) = 81$

$2x + 5 = 81\\2x = 76$

$x = 38 km$

$x+5 = 38 + 5\\x+5 = 43km\\$

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Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32. Ms Ramirez bought 4 rolls of toilet paper and 1

zlopas [31]

Answer:

The cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

Step-by-step explanation:

Given:

Mrs Leon bought 6 rolls of toilet paper and 5 bottles of hand sanitizer for $32.

Ms Ramirez bought 4 rolls of toilet paper and 1 bottle of hand sanitizer for $12.

Now, to find the cost for each item sold.

Let the cost of a roll of toilet paper be $x.$

And the cost of a bottle of hand sanitizer be $y.$

So, the cost of 4 rolls of toilet paper and 1 bottle of hand sanitizer:

$4x+y=12\\\\y=12-4x\ \ \ \ .....(1)$

Now, the cost of 6 rolls of toilet paper and 5 bottles of hand sanitizer:

$6x+5y=32$

Substituting the value of $y$ from equation (1):

$6x+5(12-4x)=32$

$6x+60-20x=32$

$60-14x=32$

Subtracting both sides by 60 we get:

$-14x=-28$

Dividing both sides by -14 we get:

$x=2.$

The cost of a roll of toilet paper = $2.

Now, substituting the value of $x$ in equation (1):

$y=12-4x\\\\y=12-4\times 2\\\\y=12-8\\\\y=4.$

The cost of a bottle of hand sanitizer = $4.

Therefore, the cost of a roll of toilet paper is $2 and the cost of a bottle of hand sanitizer is $4.

7 0

3 years ago

Please Help I will vote Brainliest!

almond37 [142]

Answer:

x = 600 pages

Step-by-step explanation:

Let the total books pages be x

Given that

Hank had read = 25% of x

25% of x = 150

Multiplying both sides by 4

=> x = 150 * 4

=> x = 600 pages

Step-by-step explanation:

There you go.

5 0

3 years ago

Select the correct answer.

Aneli [31]

Answer:

B. x = -6

Step-by-step explanation:

A line with the equation, y = ¼, is a horizontal line. Therefore, the line that is perpendicular to it would be a vertical line, which can be represented by the equation, x = a. Where, a is the x-value or the point where the vertical line intersects the x-axis. This x-coordinate remains the same for every point on the vertical line.

Thus, since the perpendicular line passes through (-6, -9), therefore, the value of a = -6.

Thus, the equation of the perpendicular line would be:

x = -6

7 0

3 years ago

Solve for A in b=2a÷h

agasfer [191]

To isolate and ultimately solve for a:
1. bh=2a
2. bh/2=a
________
1. multiply h over to the other side (and cancel it on the right)
2. Divide by 2 on both sides

5 0

3 years ago

Which one doesn't belong

muminat

The bottom left one

all of the rest start at 0 but that one doesn’t

8 0

3 years ago

Read 2 more answers