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3 years ago

Winter breaks starts in 3 4/7 weeks. Write the mixed number as a fraction greater than one.

Mathematics

2 answers:

Tanzania [10]3 years ago

6 0

Answer:

25/7

Step-by-step explanation:

mixed number to improper fraction greater than 1

-multiply the denominator by the whole number then add that number to the top number and put the original denominator under that number.

artcher [175]3 years ago

5 0

25/7 the person above is correct

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Use partial products to find 15 x 32

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480 because I caculated it hehe

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3 years ago

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Find the equation of the line with slope m= -2 that contains the point (-8,18)

slava [35]

For slope-intercept form it's y=-2x+2 and for point-slope form the answer is y-18=-2(x-(-8)) or y-18=-2(x+8).

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3 years ago

Bill and john competed in the shot put event in their school's track meet bill threw the shot 21 feet and 6 inches while john th

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4 feet 2 inches, 21-17=4 6-4=2

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4 years ago

A tunnel is constructed with a semielliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of

rusak2 [61]

The height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

<h3>What is an ellipse?</h3>

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have:

A tunnel is constructed with a semi-elliptical arch. The width of the tunnel is 60 feet, and the maximum height at the center of the tunnel is 25 feet.

2a = 60 (width of the tunnel is 60 feet)

a = 30

And the maximum height at the center of the tunnel is 25 feet

b = 25

Let's assume the center of the ellipse is at the origin.

So the equation of the ellipse:

$\rm \dfrac{x^2}{30^2}+\dfrac{y^2}{25^2}=1$

Now plug x = a - 5 = 30 - 5 = 25

$\rm \dfrac{25^2}{30^2}+\dfrac{y^2}{25^2}=1$

After solving:

$\rm \dfrac{y^2}{25^2}=1-\dfrac{25}{36}$

$\rm y^2=\dfrac{6875}{36}$

y = ±13.819 ≈ ±13.82

Height cannot be negative

y = 13.82 feet

Thus, the height of the tunnel 5 feet from the edge is 13.82 feet option second 13.82 feet is correct.

Learn more about the ellipse here:

brainly.com/question/19507943

#SPJ1

5 0

2 years ago

Micheal has 5^(2) boxes. There are 5^1 of apples in each box. When empty, a box weighs 5^-2 kg. What is the total weight of Mich

Orlov [11]

Answer: 1 Kilogram.

Step-by-step explanation:

You know that the weight of one box is $5^{-2}$ kilograms.

You also know that Micheal has $5^2$ boxes.

If you want to know the total weight of Micheal's boxes when empty, you need to multiply the weight of one box by the total number of boxes that Micheal has.

You need to remember the Product of powers property:

$(a^m)(a^n)=a^{(m+n)}$

Then:

$Total\ weight=(5^{-2}\ Kg)(5^2\ Kg)\\\\Total\ weight=5^{(-2+2)}\ Kg\\\\Total\ weight=5^0\ Kg$

Remember that:

$a^0=1$

Then, the result is:

$Total\ weight=1\ Kg$

5 0

3 years ago