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2 years ago

Express the division expression as a fraction in simplest form. Then, rewrite the fraction as a mixed number.

Mathematics

2 answers:

Levart [38]2 years ago

6 0

14/4 is simplified to 7/2 and as a mixed number it would be 3 1/2

pav-90 [236]2 years ago

6 0

Step-by-step explanation:

14 ÷ 4 is the same as the corresponding fraction (because a fraction is nothing else than a mini-division) :

14/4 = 7/2

and 7 divided by 2 is 3 with a remainder of 1. that means 1 time 1/2 remains as fraction.

so, the mixed number is

3 1/2

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Three quarters the product two number x and y

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Answer:

0.75*(x)*(y)

Step-by-step explanation:

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2 years ago

Two functions, P and Q, are described as follows: Function P y = 5x + 3 Function Q The rate of change is 2 and the y-intercept i

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Function P . . . . . y = 5x + 3

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Find the equation of a circle with a center at (7,2) and a point on the circle at (2,5)?

monitta

Answer:

$(x-7)^2+(y-2)^2=34$

Step-by-step explanation:

We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).

First, recall that the equation of a circle is given by:

$(x-h)^2+(y-k)^2=r^2$

Where (h, k) is the center and r is the radius.

Since our center is at (7, 2), h = 7 and k = 2. Substitute:

$(x-7)^2+(y-2)^2=r^2$

Next, the since a point on the circle is (2, 5), y = 5 when x = 2. Substitute:

$(2-7)^2+(5-2)^2=r^2$

Solve for r:

$(-5)^2+(3)^2=r^2$

Simplify. Thus:

$25+9=r^2$

Finally, add:

$r^2=34$

We don't need to take the square root of both sides, as we will have the square it again anyways.

Therefore, our equation is:

$(x-7)^2+(y-2)^2=34$

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2 years ago

A family has traveled 114 miles of a planned trip. This is 37% of the total distance they must travel on the trip. Find, correct

denis23 [38]

Answer:

The total distance they will travel on their trip is 308 miles.

Step-by-step explanation:

This question can be solved using a rule of three.

114 miles is 37% = 0.37. How many mines are 100% = 1?

114 miles - 0.37

x miles - 1

$0.37x = 114$

$x = \frac{114}{0.37}$

$x = 308.11$

Rounding to the nearest mile

The total distance they will travel on their trip is 308 miles.

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2 years ago