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3 years ago

Assuming a motorcycle traveled 80 miles in 5 hours at a constant speed, How far did it go in 1 hour?

Mathematics

2 answers:

shutvik [7]3 years ago

7 0

Answer:

16 miles in 1 hour

Step-by-step explanation:

We can use ratios to solve

80 miles x miles

------------------- = ------------------

5 hours 1 hours

Using cross products

80*1 = 5x

Divide each side by 5

80/5 = 5x/5

16 =x

16 miles in 1 hour

Serggg [28]3 years ago

6 0

Answer:

16 miles

Step-by-step explanation:

We can write the ratio of miles:hours as 80:5 using the given information. Because we want to find the distance of 1 hour, we can divide the ratio by 5 (because 5/5 is 1, and we want 1 on the "right side") which gets us 16:1. This means that the motorcycle traveled 16 miles in one hour. Hope this helps!

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tresset_1 [31]

Step-by-step explanation:

x and y are roughly in a linear relationship.

when x increases by 2 units, then also y increases by more or less 2 units.

when x increases by 3 units, then also y increases by more or less 3 units.

it is not precise, but a good approximation model.

3 0

3 years ago

Use the diagram to determine which statement is true

hichkok12 [17]

A. Area of ABCD - Area of DGA = Area of DEFG
s^2 - 1/2bh = s^2
(5)^2 - 1/2(4)(3) = (3)^2
25 - 1/2(12) = 9
25 - 24 = 9
1 not equal to 9

B. Area of ABCD - Area of GHIA = Area of DGA
s^2 - s^2 = 1/2bh
(5)^2 - (4)^2 = 1/2(4)(3)
25 - 16 = 1/2(12)
9 not equal to 6

C. Area of ABCD + Area of DGA = Area of GHIA
s^2 + 1/2bh = s^2
(5)^2 + 1/2(4)(3) = (4)^2
25 + 1/2(12) = 16
25 + 6 = 16
31 not equal to 16

D. Area of DEFG + Area of GHIA = Area of ABCD
s^2 + s^2 = s^2
(3)^2 + (4)^2 = (5)^2
9 + 16 = 25
25 = 25

The answer is D.

5 0

3 years ago

Read 2 more answers

The length of an alligator in a zoo is 14 5/6 feet.The everglades national parks list the longest alligator ever reocord in flor

astraxan [27]

Answer:

The difference in the lengths of the two alligators = 3

Step-by-step explanation:

First, let us make the lengths improper fractions, then we will find the difference from there.

Alligator 1:

Length = $14\frac{5}{12} = \frac{173}{12}$

To convert to improper fraction, multiply the denominator by the whole number, and then add the denominator [(12 × 14) + 5]

Alligator 2:

Length = $17\frac{5}{12} = \frac{209}{12}$

Now Let us find the difference between the lengths:

$\frac{209}{12} - \frac{173}{12} = \frac{36}{12} =3$

Therefore the difference in the lengths of the two alligators = 3

3 0

3 years ago

Point A is (-9,-3) and is translated 4 left and 2 down. Where is A' at?

mezya [45]

Answer:

A translation maps point A(3,7)A(3,7)A, left parenthesis, 3, comma, 7, right parenthesis to point A'(6,-2)A

′

(6,−2)A, prime, left parenthesis, 6, comma, minus, 2, right parenthesis. Let's determine what translation this is.

Solution

Step 1: Horizontal shift. AAA is shifted 333 units to the right because (6)-(3)=\tealD{+3}(6)−(3)=+3left parenthesis, 6, right parenthesis, minus, left parenthesis, 3, right parenthesis, equals, start color #01a995, plus, 3, end color #01a995.

Step 2: Vertical shift. AAA is shifted 999 units down because (-2)-(7)=\maroonD{-9}(−2)−(7)=−9left parenthesis, minus, 2, right parenthesis, minus, left parenthesis, 7, right parenthesis, equals, start color #ca337c, minus, 9, end color #ca337c.

The answer: AAA is mapped onto A'A

′

A, prime under a translation by \langle \tealD{3},\maroonD{-9} \rangle⟨3,−9⟩open angle, start color #01a995, 3, end color #01a995, comma, start color #ca337c, minus, 9, end color #ca337c, close angle.

Step-by-step explanation:

5 0

3 years ago

Find a polynomial with zeros at x=2,x=-1 and x=0

Amiraneli [1.4K]

Answer:

f(x) = x^3 - x^2 -2x

Step-by-step explanation:

If x = a is a zero of a polynomial, then x-a is a factor of the polynomial. Given the factors of a polynomial, the polynomial can be obtained by multiplying the factors.

The factors of the given polynomial are;

x - 2

x + 1

Multiplying the first two factors;

(x-2)(x+1) = x^2 + x -2x -2

= x^2 -x -2

We finally multiply this result by x to obtain our polynomial;

f(x) = x ( x^2 -x -2)

= x^3 - x^2 -2x

which is a cubic polynomial since it has 3 roots.

5 0

3 years ago

Read 2 more answers