How to graph the equation y=1/4x-6

Answers

Answer 1

Answer: $y= (1)/(4)x-6 \n \nx=-8 \Rightarrow y=(1)/(4)* (-8)-6=-2-6=-8\n \nx=-4 \Rightarrow y=(1)/(4)* (-4)-6=-1-6=-7\n \nx=0 \Rightarrow y=(1)/(4)* 0-6=0-6=-6\n \nx=4 \Rightarrow y=(1)/(4)*4-6=1-6=-5 \n \nx=8 \Rightarrow y=(1)/(4)*8-6= 2-6=-4$

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in a two digit number the tens digit is 6 more than the units digit. if the digits are interchanged, the sum of the new and the original number is 132. Determine the original number.

Answers

Given:

In a two digit number the tens digit is 6 more than the units digit.

If the digits are interchanged, the sum of the new and the original number is 132.

To find:

The original number.

Solution:

Let the unit digit of the original number be x. So, the tens digit is (x+6) and the value of the number is:

$m=(x+6)* 10+x* 1$

$m=10x+60+x$

$m=11x+60$

If we interchange the digits, then the value of new number is:

$n=x* 10+(x+6)* 1$

$n=10x+x+6$

$n=11x+6$

The sum of the new and the original number is 132.

$m+n=132$

$11x+60+11x+6=132$

$22x+66=132$

$22x=132-66$

$22x=66$

Divide both sides by 22.

$x=(66)/(22)$

$x=3$

So, the unit digit of the original number is 3 and the tens digit is:

$x+6=3+6$

$x+6=9$

Therefore, the original number is 39.

grant plans to evaporate enough water from 22 gallons of a 16% ammonia solution to make a 24% ammonia solution. Which equation can he use to find n, the number of gallons of water he should remove?

Answers

The equation to get the number of gallons of water he should evaporate
= 22 - (22 x 0.16)/0.24

Find value 40% of 25 is what number?

Answers

40% from 25 is:

25 * 40% =
= 25 * 40/100 =
= 25 * 4/10 =
= 25 * 0,4 =
= 10

Another way is to find 1% of 25 and then multiply it by 40:

25 * 40% =
= (25 / 100) * 40 =
= 0,25 * 40 =
= 10

A right pyramid has a regular hexagon as a base. The slant height is 20, and the perimeter of its base is 10. What is the lateral surface area of the pyramid

Answers

Answer:

100 unit^2

Step-by-step explanation:

lateral surface area of right pyramid = .5*p*s

p = perimeter

s = slant ht

LS = 100 unit^2

Which of the following is an example of an improper fraction?a. 6/7
b. 3/10
c. 10/3
d. 4/5

Answers

Improper fractions are called such because the numerator is greater than the denominator. The only way it can be simplified is through a mixed fraction.

c) 10/3 is the improper fraction.

10/3 is simplified into 3 1/3.

Find the product: (5x + 5y) (x + 4y)A. 4x2 +22ry - 12y2
B.5x2+ 20y2
c.5x2 + 25xy + 20y2
D. 35x2 - 54ry + 16y2

Answers

Answer:

Step-by-step explanation:

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