What 2 numbers multiply to 60 and add up to 22

Answers

Answer 1

Answer: 1*60 | 60-1 =59
2*30 | 30-2 =28
3*20 | 20+3 = 23
4*15 | 15+4 =19
5*12 | 12+5 =17
6*10 | 10+6 =16
Not possible. You can get a 23. But not 22.

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A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If 6 ounces of coconut oil and 5 ounces of beeswax are used to create the lip balm mixture, which values represent a and b in the table?
If four times a number plus 3 is 11, what is the number

The length of a rectangle is five inches less than twice its width. If the rectangle has a perimeter of 80 inches, findthe length and width.

Answers

the length the width the perimeter
50 + 30 = 80

Which statements about the system are true? Check all that apply. y = x – 4
3y – x = –7
The system has one solution.
The system consists of parallel lines.
Both lines have the same slope.
Both lines have the same y–intercept.
The equations represent the same line.
The lines intersect.

Answers

Answer:

The correct answers are:

The system has one solution.

The lines intersect.

Step-by-step explanation:

We are given system of linear equations as:

y=x-4--------(1)

and 3 y-x= -7----------(2)

on substituting the value of 'y' from equation (1) into equation (2) we have:

3(x-4)-x=-7

⇒ 3x-3×4-x=-7

⇒ 3x-x= -7+12

⇒ 2x=5

⇒ $x=(5)/(2)$

also putting the value of x into equation (1) we have:

$y=(5)/(2)-4=(5-8)/(2)=(-3)/(2)$

Hence, we get a unique value of x and y on solving the system of linear equations.

Hence, the system has one solution.

the slope for line y=x-4 is 1 ( since on comparing the equation with y=mx+c; where m denotes the slope of line and c is the y-intercept)

y-intercept is -4

but the slope of line 3y-x = -7 i.e.

$y=(x-7)/(3)=(x)/(3)-(7)/(3)$

hence the slope of second line is: $(1)/(3)$ .

and y-intercept is $(-7)/(3)$ .

They represent different lines.

the lines intersect at the point $((5)/(2),(-3)/(2))$

Answer and explanation:

Given : Equations $y=x-4$ and $3y-x=-7$

To find : Which statements about the system are true? Check all that apply.

Solution :

First we solve the system of equations,

$y=x-4$ .....(1)

$3y-x=-7$ ......(2)

Substitute y from (1) in (2),

$3(x-4)-x=-7$

$3x-12-x=-7$

$2x=5$

$x=(5)/(2)$

Substitute the value of x in (1),

$y=(5)/(2)-4$

$y=(5-8)/(2)$

$y=(-3)/(2)$

1) The system has one solution i.e. $((5)/(2),-(3)/(2))$

2) The system has solution which means it is not parallel lines.

Writing equation in slope from, $y=mx+c$

$y=x-4$ where m=1 and c=-4

$3y-x=-7$ where $m=(1)/(3)$ and c=-4

3) Both lines have different slopes.

4) Both lines have the same y-intercept.

5) The equations represent the different lines.

6) The lines intersect at $((5)/(2),-(3)/(2))$

is tim as 11 cakes and mike has 7 and Emily has 11 more than time and mike combined how many does she have

Answers

$11+7 = 14 \n14+11=25 \n\boxed{25}$

11 + 7 = 18

18+11= 29

Emily has 29 cakes

Rounded to the nearest hundred thousandth, the number 0.00004327 is 0.00004

Answers

Answer:

000000.10

Step-by-step explanation:

Find the circumference and area of each circle. PLEASE HELP!

Answers

Answer:

There are so many!

For circumference use = 2 pi r

For area use = pi r²

I have told only formula, else you may lack practice. try to solve yourself

A train leaves the station with a 7/8 load of coal. The train drops off 2/16 and 3/12. What is left in the train?

Answers

Answer:

4/8 is left on the train

Step-by-step explanation:

Hope this helps :D brainliest?

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What is the slope of the line y = 9

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A square wrestling mat has a perimeter of 12x + 32 feet. Write an expression that represents the side length of the mat in feet.