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ValentinkaMS [17]
2 years ago
14

Students in grade 7 and 8 were asked which food they liked best the results are shown in the table below?

Mathematics
1 answer:
svetoff [14.1K]2 years ago
6 0

Answer:

55% if the students like hotdods

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A boat heads south at 120 mph while a steamer heads east at 50 mph. If they started from the same dock and at the same time, whe
Snezhnost [94]

Answer:

  1 hour after they leave

Step-by-step explanation:

The distance each travels is proportional to its speed. The given speeds are at right angles to each other in a 5:12 ratio. The Pythagorean theorem tells you the hypotenuse of such a right triangle will have length ...

  √(5²+12²)=√169 = 13

That is the speeds are in the ratio 5:12:13, where 13 represents the relative separation speed. Actual speeds are then 50 mph : 120 mph : 130 mph.

So the distance between the boat and steamer will be increasing at 130 mph. The distance will be 130 miles after 1 hour.

8 0
2 years ago
Read 2 more answers
Find the area of the rectangle below by multiplying its length and width.
wariber [46]

Hello!

When multiply binomials together, we should use the FOIL method.

The FOIL method is an acronym for First, Outer, Inner, and Last.

First, let's set up the expression.

(7x - 1)(3x - 2)

Now, we can multiply in accordance with the FOIL method.

First: 7x · 3x = 21x²

Outer: 7x · -2 = -14x

Inner: -1 · 3x = -3x

Last: -1 · -2 = 2

Now, we simplify the inner terms.

21x² - 14x - 3x + 2

21x² - 17x + 2

Therefore, the area of the rectangle is 21x² - 17x + 2.

8 0
3 years ago
Max is stacking logs at his campground for firewood. After his first load of logs, he has 12 logs on the stack. After his sevent
Natasha2012 [34]

Answer:

Let L(n) be the function that gives the amount of logs stacked after n loads.

L(n) = 12 + 8(n-1)

Step-by-step explanation:

Let L(n) be the function that gives the amount of logs stacked after n loads.

Let's call for the moment the first load as L(0)

L(0)= 12  

Let r be the number of logs carried in each load, then  

L(n) = 12 + nr

Since L(6) (the seventh load) equals 60, we have

60 = 12 + 6r, and r = 8.

So a function for the number of loads starting from n=0 would be

L(n) = 12 + 8n

If we want to start with n=1, we simply change the variable

L(n) = 12 + 8(n-1) (n=1,2,3,...).

So L(1) = 12, L(2) = 20, L(3) = 28,...L(7) = 60 and so on.

7 0
3 years ago
Statements Reasons
Otrada [13]

Answer:

Step-by-step explanation:

6 0
3 years ago
A square garden has a side of length that is 3 meters shorter than the length of a rectangle garden. Find the perimeter of the r
Ray Of Light [21]
If the square perimeter is 8y, then the square side would be:
square perimeter= 4*side
8y= 4*side
side=2y

The square garden side is 3m shorter than the length of the rectangle garden. The rectangle garden length will be:
rectangle length= square sides +3
rectangle length= 2y+3

rectangle perimeter= 2(rectangle length + rectangle side)
rectangle perimeter= 2(2y+3 + 2y+1)
rectangle perimeter= 2(4y+4)
rectangle perimeter= 8y + 8
5 0
3 years ago
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