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Natalka [10]
2 years ago
8

Hey! So I know the answer to this question… but I’m having trouble figuring out how to fill in the chart below

Mathematics
1 answer:
Karolina [17]2 years ago
5 0

Step-by-step explanation:

Sry if it is blurr, is this what you wanted?

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Runner A crosses the starting line of a marathon and runs at an average pace of 5.6 miles per hour. Half an hour later, Runner B
marishachu [46]
Time it took runner A to complete the marathon = 26.2 / 5.6 = 4 hrs 41 mins
Time it took runner B to complete the marathon = 26.2 / 6.4 = 4 hrs 6 mins

Time it took runner B to complete the marathon relative to when runner A started = 30 mins + 4 hrs 6 mins = 4 hrs 36 mins

Therefore, runner B will finnish ahead of runner A.

Let x be the time the two runners are at the same point, then
5.6x + 5.6(0.5) = 6.4x
6.4x - 5.6x = 2.8
0.8x = 2.8
x = 2.8/0.8 = 3.5
Therefore, runner B will catch up with runner A 3.5 hours after runner A starts the race.
<span>Runner B; Runner B will catch up to Runner A 3.5 hours after Runner A crosses the starting line.</span>

5 0
2 years ago
Associative property of (21)(7)(3x) ? <br> PLEASE HELPPPP <br> 40 PTS!!!!
sdas [7]
Ehh, now it's letting me answer.

So the associative property is basically as long as it's addition or multiplication,  you can move around the groupings and it will still be the same.

For example, you can say:(21 * 7) (3x)  instead of (21)(7)(3x)

And it would be equal to the old version.

(To answer your other question, the commutative property is you can move around all the parts of the equation as long as it's addition or multiplication.)

So basically, it would be the first one you sent me.
3 0
3 years ago
Read 2 more answers
What is the lateral surface area of the square pyramid below?
den301095 [7]

Answer:

lateral surface area = 48 inches²

Step-by-step explanation:

The picture below is the square base pyramid you are referring. The lateral area is adding the area of the 4 triangles in the pyramid.

area of a triangle = 1/2 × b × h

The slant height of the triangle is gotten using Pythagoras theorem

lateral surface area = 4 × (1/2 ×  3 × 8)

lateral surface area = 4 × 24/2

lateral surface area = 4 × 12

lateral surface area = 48 inches²

3 0
2 years ago
Read 2 more answers
Find the value of x and y
vova2212 [387]

let's first off take a look at the <u>tickmarks</u>, three <u>side tickmarks</u>, so all those 3 sides are equal, all have a length of y - 25, so is an equilateral triangle.

there are two <u>angle tickmarks</u>, meaning those two angles are equal, wait a second! if those two angles are equal, that means is an isosceles triangle.

now, in an equilateral triangle, all sides are equal, but also all angles are equal, since the sum of all interior angles is 180°, then each angle is really 60°.

let's notice that angle on the upper-left-corner, is a right-angle, but 60° are on the equilateral triangle, and so the remaining 30° must be on the isosceles triangle.

the isosceles triangle has then a vertex of 30°, and twin angles, the twin angles let's say are each a° so then

30° + a° + a° = 180°

30 + 2a = 180

2a = 150

a = 75° = y

now, let's recall, the isosceles triangle has twin angles but it also has twin sides, so the side "x" and the side with the tickmark are equal.

well, we know that y = 75, so the sides with the tickmark are then (75) - 25 = 50 = x.

5 0
3 years ago
Fatheya purchased a prepaid phone card for $25. Long distance calls cost 12 cents a minute using this card. Fatheya used her car
Pachacha [2.7K]

Answer:

22 minutes

Step-by-step explanation:

First you take away the original amount away from the remaining amount.

$25 - $22.36 = $2.64

Then you take that number and divide it by the cents per minute.

$2.64 ÷ 12 = 0.22

Then that's your answer!

Her call lasted 22 minutes.

7 0
2 years ago
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