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Alik [6]
2 years ago
8

Write a 1/4 as an equivalent fraction of 360 in the denominator

Mathematics
1 answer:
Karo-lina-s [1.5K]2 years ago
6 0
1/4 = x/360

4×9 = 36 so 4 × 90 = 360

also multiply the numerator by 90 and you get

1/4 × 90/90 = 90/360
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For what values of the variable, do the following fractions exist: y^2-1/y+y/y-3
ale4655 [162]

Answer:

Remember that the division by zero is not defined, this is the criteria that we will use in this case.

1) \frac{y^2 - 1}{y}  + \frac{y}{y - 3}

So the fractions are defined such that the denominator is never zero.

For the first fraction, the denominator is zero when y = 0

and for the second fraction, the denominator is zero when y = 3

Then the fractions exist for all real values except for y = 0 or y = 3

we can write this as:

R / {0} U { 3}

(the set of all real numbers except the elements 0 and 3)

2) \frac{b + 4}{b^2 + 7}

Let's see the values of b such that the denominator is zero:

b^2 + 7 = 0

b^2 = -7

b = √-7

This is a complex value, assuming that b can only be a real number, there is no value of b such that the denominator is zero, then the fraction is defined for every real number.

The allowed values are R, the set of all real numbers.

3) \frac{a}{a*(a - 1) - 1}

Again, we need to find the value of a such that the denominator is zero.

a*(a - 1) - 1 = a^2 - a - 1

So we need to solve:

a^2 - a - 1 = 0

We can use the Bhaskara's formula, the two values of a are given by:

a = \frac{-(-1) \pm \sqrt{(-1)^2 + 4*1*(-1)}  }{2*1}  = \frac{1 \pm \sqrt{5} }{2}

Then the two values of a that are not allowed are:

a = (1 + √5)/2

a = (1 - √5)/2

Then the allowed values of a are:

R / {(1 + √5)/2} U {(1 - √5)/2}

7 0
2 years ago
Haley's car gets at least 18 miles per gallon. She is planning a trip that is 200 miles.
maxonik [38]

Answer:

11\ gallons

Step-by-step explanation:

we know that

Haley's car gets at least 18 miles per gallon

so

by proportion

Find the minimum number of gallons she'll need for a trip that is 200 miles

\frac{1}{18}\frac{gallon}{miles} =\frac{x}{200}\frac{gallon}{miles}\\ \\x=200/18\\ \\x= 11.11\ gallons

7 0
2 years ago
Read 2 more answers
How do I solve this please?
djyliett [7]

Answer:

given us,

n=4

here

3^-n+1-3^-n+2

3^-4+1-3^-4+2

-4+1-4+2

-5

Step-by-step explanation:

we can put value in n .we can power add and subtract then we can cut 3 then power we can add or subtract

7 0
2 years ago
Help sweet people of the web​
leva [86]

Answer: no

Step-by-step explanation:

4 0
2 years ago
mary had 1 3/4 pound of blackberries. Mary's friend ate 3/4 of the blackberries. How many pounds of blackberries did Mary friend
OLEGan [10]

Hey there! I'm happy to help!

If Mary's friend at 3/4 of blackberries, we will simply multiply the total number of blackberries by 3/4 to find how many blackberries Mary ate.

3/4×1 3/4= 1 5/16

Therefore, Mary's friend at 1 5/16 pounds of blackberries.

I hope that this helps! Have a wonderful day!

3 0
3 years ago
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