Factor mn+7n−m−7 by grouping.

Answer:

x =5

Step-by-step explanation:

[tex]7x + 15 - 9x = 5\\\\\mathrm{Group\:like\:terms}\\7x-9x+15=5\\\\\mathrm{Add\:similar\:elements:}\:7x-9x=-2x\\-2x+15=5\\\\\mathrm{Subtract\:}15\mathrm{\:from\:both\:sides}\\-2x+15-15=5-15\\\\Simplify\\-2x=-10\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2x}{-2}=\frac{-10}{-2}\\\\Simplify\\x = 5[/tex]

Answer:

3^12 = 531441

Step-by-step explanation:

For this problem, it's important to understand what is meant by the exponents. Notice, there are two sets of separators, a parentheses and a bracket. When you have powers to powers you multiply, hence 2 * 3 * 2 is 12. The given expression can also be broken down like this:

[ ( 3^2 ) ^ 3 ] ^ 2

= [ 3^2 * 3^2 * 3^2 ] ^ 2

= 3^2 * 3^2 * 3^2 * 3^2 * 3^2 * 3^2

And we can apply the rule, when you are multiply powers of like bases you add the exponents. Hence:

3 ^ (2 + 2 + 2 + 2 + 2 + 2)

= 3^12

Either way of power manipulation, you end with the same result of 3^12. Hope this helps.

Cheers.

Answer: -8

Step-by-step explanation:

Your below so the integer will be negative.

Answer:

16

Step-by-step explanation:

Take the total amount and divide by the amount per candy bar

28 /1.75

16

He can buy 16 candy bars

Answer:

54.6

Step-by-step explanation:

42 =  70%

100% - 70% = .30%

42 x 1.3 = 54.6

Answer:

6.48

Step-by-step explanation:

Start with:

 [tex]4.88[/tex]

+ [tex]1.6[/tex]

I could understand why you may be confused, so one trick is to add a [tex]0[/tex] next to the [tex]6.[/tex]

Rewrite:

 [tex]4.88[/tex]

+ [tex]1.60[/tex]

Add.

[tex]6.48[/tex]

Answer:

(3,-3) or x = 3

Step-by-step explanation:

I solved this problem with the help of graphing, you would start by sketching each equation. The x-value of the point where both equations intersect would be solution to your equations.

Answer:A plane flew to its destination 300 miles away. With a tail wind, the flight took 5/6 of an hour. The return trip, with a head wind, took 1 hour....

Step-by-step explanation:

1/3 divided by 4/5 = 5/12

1 pound = 16 ounces

you should make both with the same unit measurement. Let's convert them to ounces.

4 pounds= 4x16 ounces=64 ounces

ratio 10 ounces to 4 pounds= 10 ounces : 64 ounces

= 5 ounces : 32 ounces= 5 : 32

Answer:

Step-by-step explanation:

Answer:

8 hours and 1 min

Step-by-step explanation:

3men=5hours

5men=x

cross multiply

5x5=3x

25=3x

divide both side by 3

x=8hrs and 1 min

Answer:

If the question is how much she would have in each account the value would be that two would have $9,333 and one would have to be $9,334

Step-by-step explanation:

Answer:

[tex](\sqrt{3} + 6i)(\sqrt{3} - 6i)[/tex]

Simplifies to:

[tex]36i^2 + 3[/tex]

[tex]= 39[/tex]

Answer:

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

Hope this helps you

Answer:

1. "Everyone is doing it"; 2. "It's fun to use our products"; 3. "You will be successful if you use our products."

Step-by-step explanation:

Answer:

The original price is 337.50

Step-by-step explanation:

If we get 20% off, we still have to pay 100-20 =80%

Let x be the original price

x *80% = 270

.80x = 270

Divide each side by .80

.80x/.80 = 270/.80

x =337.50

The original price is 337.50

Answer:

the original price was $324.

Step-by-step explanation:

since 20% of $270 is $54, you add the $54 and get $324.

hope this helps! best of luck <3 (also i didn't include tax; it didn't specify and also i don't know the tax for your region)

Answer:

131

Step-by-step explanation:

supplementary angles are any two angles whode sum is 180. If v= 49 then 131 would be W. 131+49= 180

Step-by-step explanation:

If two variables x and y are independent, then:

P(x and y) = P(x) P(y)

Or, in terms of conditional probability:

P(x given y) = P(x)

From part 3, 27.3% of the students are sophomores, 57.8% are juniors, and 14.8% are seniors.

From part 4, 31.6% of procrastinators are sophomores, 53.6% are juniors, and 14.8% are seniors.

Since the percent of procrastinators that are sophmores is not the same as the percent of students that are sophmores, the variables are not independent, which means there is a relationship between academic level and whether students procrastinate.

[tex]\boxed{\sf ab+ac=a(b+c)}[/tex]

[tex]\\ \rm\longmapsto (8\times 5)+(8\times 2)[/tex]

[tex]\\ \rm\longmapsto 8(5+2)[/tex]

[tex]\\ \rm\longmapsto 8(7)[/tex]

[tex]\\ \rm\longmapsto 56[/tex]

Answer:

-45

Step-by-step explanation:

(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer:-45

Step-by-step explanation:(4.5)(5)(-2)=-45

therefore the answer would be the fourth option which is -45

Answer: i'm pretty sure Meg would have skated 1/2 of a mile in an hour

Answer:

meg would have skated 1/2 of a mile in 1 hour.

Step-by-step explanation:

Answer:

Step-by-step explanation:

2x^3(x^2 + 5x - 11)

Answer:

[tex]x=-\frac{9}{4} \\ or \:\\x = -2\frac{1}{4}[/tex]

Step-by-step explanation:

[tex]-2 (x + 1/4)+1=5\\\\-2\left(x+\frac{1}{4}\right)+1=5\\\\\mathrm{Subtract\:}1\mathrm{\:from\:both\:sides}\\\\-2\left(x+\frac{1}{4}\right)+1-1=5-1\\\\Simplify\\-2\left(x+\frac{1}{4}\right)=4\\\\\mathrm{Divide\:both\:sides\:by\:}-2\\\frac{-2\left(x+\frac{1}{4}\right)}{-2}=\frac{4}{-2}\\\\Simplify\\x+\frac{1}{4}=-2\\\\\mathrm{Subtract\:}\frac{1}{4}\mathrm{\:from\:both\:sides}\\\\x+\frac{1}{4}-\frac{1}{4}=-2-\frac{1}{4}\\\\Simplify\\x=-\frac{9}{4}\\\\x = -2\frac{1}{4}[/tex]

Answer:

<MLK

<EFH

<KLJ

Step-by-step explanation:

Each Is At A Right Angle, I Just Answered This On My Quiz.

===========================================================

Explanation:

Check out the diagram below. I've added in the label (4x+13) degrees to the angle adjacent to the (9x-2) degree angle. This is valid due to corresponding angles being congruent when we have parallel lines like this.

The two angles form a 180 degree straight angle

(4x+13) + (9x-2) = 180

4x+13 + 9x-2 = 180

(4x+9x) + (13-2) = 180

13x + 11 = 180

13x+11-11 = 180-11 .... subtracting 11 from both sides

13x = 169

13x/13 = 169/13 .... dividing both sides by 13

x = 13

We can verify this by noticing that

4x+13 = 4*13+13 = 65

9x-2 = 9*13-2 = 115

So, (4x+13)+(9x-2) = (65)+(115) = 180, showing the two angles are supplementary.

-----------------

The angles (9x-2) and (6y-1) are also a linear pair. They are adjacent and supplementary

Let's use x = 13 to find the value of y

(9x-2) + (6y-1) = 180

9x-2+6y-1 = 180

9x+6y-3 = 180

9*13+6y-3 = 180 .... plug in x = 13

117+6y-3 = 180

6y+114 = 180

6y+114-114 = 180-114 .... subtract 114 from both sides

6y = 66

6y/6 = 66/6 ...... divide both sides by 6

y = 11

To help confirm,

6y-1 = 6*11-1 = 65

which adds onto the (9x-2) = 115 degree angle to get 180.

-----------

Side note: as an alternative, you can solve 4x+13 = 6y-1 to get the same y value. This is because alternate exterior angles are congruent when we have parallel lines like this.

Step-by-step explanation:

If I'm not wrong it should be 27.93