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adoni [48]
3 years ago
10

How is 2.5/3=75% equivalent

Mathematics
1 answer:
horsena [70]3 years ago
4 0

Answer:

its equivalent because 75% equals to 75 over one hundred = 75/100 so when you divide 75 by 3 you get 25 but then you have to divide 25 by 10 you get 2.5

Step-by-step explanation:

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Luis rides his bicycle 34 mile in 5 minutes, or 112 hour, along the bike trail. Assuming he rides at a constant rate, what is hi
artcher [175]

Answer:

408\frac{miles}{hour}

Step-by-step explanation:

we know that

To find the speed divide the total distance by the time

so

\frac{34}{(1/12)}=34*12=408\frac{miles}{hour}

3 0
2 years ago
Pew Research recently did a study on American's response to the question "Do you think that business corporations make too much
kirill115 [55]

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comparison

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comparison

4 0
3 years ago
The hypotenuse of a right triangle is 37 units long. Find the other two sides if the perimeter of the triangle is 84 units. Sepa
taurus [48]

Answer:

The lengths of the legs are 12 and 35 units

Step-by-step explanation:

Let c represent the hypotenuse and a and b represent the legs.  Then the Pythagorean Theorem requires that a^2 + b^2 = c^2 = 37^2 = Hypotenuse^2

Also:  a + b + c = Perimeter = 84 units.  

Since c = 37 units, a + b + 37 units = 84 units, or a + b = 47 units, or a = 47 - b.

Then a^2 + b^2 = 37^2 becomes (47 - b)^2 + b^2 = 37^2, or 1369.  Therefore:

2209 - 94b + b^2 + b^2 = 1369.

Simplifying by combining like terms, we get:  

840 - 94b + 2b^2 = 0, which is a quadratic equation in standard form.

Reducing all terms by division by 2, we get:

420 - 47b + b^2 = 0.  Here the coefficients are a = 1, b = -47 and c = 420.

The discriminant is therefore b^2 - 4ac, or 529, whose square root is ± 23.

Then the b values of this quadratic in b are

      47 ± 23

b = -------------- , so that b is either 35 or 12

             2

and then side a has length a = 47 - b = 12  or  35.

Thus, a = 12 and b = 35, and c is given:  37.

Check:  Is 12^2 + 35^2 = 37^2 true?  Is 144 + 1225 = 1369?  YES

The lengths of the legs are 12 and 35 units.

7 0
2 years ago
(1 point) The length of an insect (L, in mm) is a function of the temperature during development (T , measured in ∘C according t
lawyer [7]

Answer:

M(T)=1.1(7(8+T^{10})^{3}) and M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}

Step-by-step explanation:

We have the next set of functions:

L(T)=8+T^{10}

V(L)=7L^{3}

M(V)=1.1V

We want to know M(T) then:

M(V)=1.1V but we know that V(L)=7L^{3}:

M(L)=1.1(7L^{3}) and we know that L(T)=8+T^{10}

M(T)=1.1(7(8+T^{10})^{3})

Finally using the value of 22º we have

M(T)=1.1(7(8+22^{10})^{3})=1.44\time10^{41}

3 0
3 years ago
A box holds three circular flower pots, each with the same diameter. What is the exact area of the base of one pot? Show your wo
RoseWind [281]
19.635 square inches.

Assuming that the pots are arranged in a straight line, each pot would have a diameter of 5, because 5 • 3 = 15, and 15 is the length of the box. The radius of the base of one pot is therefore 2.5.
A = pi • r^2 = pi • 2.5^2 = 19.635 (approximation)
7 0
2 years ago
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