Nathan read a total of 630 pages over 30 hours. In all, how many hours of reading will Nathan have to do this week in order to have read a total of 714 pages? Solve using unit rates.

Steps to solve:

-(1 + 4x) = 4(1 - x) - 5

~Distribute both sides

-1 - 4x = 4 - 4x - 5

~Combine like terms on the left side

-1 - 4x = -1 - 4x

~Add 4x to both sides

-1 = -1

~Add 1 to both sides

0 = 0

Therefore, all real numbers are solutions.

Best of Luck!

Answer:

a=-6

Step-by-step explanation:

2(a+5)=-2 Step 1 distribute

2a+10=-2 Step 2 minus 10 on both sides

2a=-12      Step 3 divide but 2 on both sides

a=-6

Answer:

a=-6

Step-by-step explanation:

In order to solve for a, we must isolate a on one side of the equation.

[tex]2(a+5)=-2[/tex]

2 is being multiplied by (a+5). The inverse of multiplication is division. Divide both sides of the equation by 2.

[tex]2(a+5)/2=-2/2[/tex]

[tex](a+5)=-2/2[/tex]

[tex](a+5)=-1[/tex]

5 is being added to a. The inverse of addition is subtraction. Subtract 5 from both sides of the equation.

[tex]a+5-5=-1-5[/tex]

[tex]a=-1-5[/tex]

[tex]a=-6[/tex]

Let's check our solution. Plug -6 in for a and solve.

[tex]2(a+5)=-2[/tex]

[tex]2(-6+5)=-2[/tex]

[tex]2(-1)=-2[/tex]

[tex]-2=-2[/tex]

This checks out, so we know our solution is correct.

The solution to the equation 2(a+5)=-2 is a=-6

Answer:  -2²¹

Step-by-step explanation:

Convert each term into a power of 2.

Use the product rule of adding the exponents and the quotient rule of subtracting the exponents.

[tex]\dfrac{(-2)^3\times 4^4}{16^{-1}\times 8^{-2}}\quad =\dfrac{(-1)^3(2)^3(2)^{2(4)}}{(2)^{4(-1)}(2)^{3(-2)}}\qquad =-1^3\bigg(\dfrac{2^32^8}{2^{-4}2^{-6}}\bigg)[/tex]

[tex]=-1(2^{3+8-(-4)-(-6)})\qquad =-1(2^{3+8+4+6})\qquad =-2^{21}[/tex]

Answer:

-2^21

Step-by-step explanation:

(-2)^3*4^4=-8*(2^2)^4=-1*2*4*2^8=-1*2^9*2^2=

=-1*2^11

(16)^-1*8^-2=2^-4*2^-6=2^-10

-1*2^11/2^-10=-1*2^11*2^10=-2^21

Answer:

x = 6

Step-by-step explanation:

Solve for x:

11 x + x + 5 = 11 x + 11

Hint: | Add like terms in 11 x + x + 5.

x + 11 x = 12 x:

12 x + 5 = 11 x + 11

Hint: | Move terms with x to the left hand side.

Subtract 11 x from both sides:

(12 x - 11 x) + 5 = (11 x - 11 x) + 11

Hint: | Combine like terms in 12 x - 11 x.

12 x - 11 x = x:

x + 5 = (11 x - 11 x) + 11

Hint: | Look for the difference of two identical terms.

11 x - 11 x = 0:

x + 5 = 11

Hint: | Isolate terms with x to the left hand side.

Subtract 5 from both sides:

x + (5 - 5) = 11 - 5

Hint: | Look for the difference of two identical terms.

5 - 5 = 0:

x = 11 - 5

Hint: | Evaluate 11 - 5.

11 - 5 = 6:

Answer: x = 6

Answer:

x = 6

Step-by-step explanation:

5 + x + 11x = 11x + 11

5 + 12x = 11x + 11

5 + 1x = 11

1x = 6

x = 6

Answer:

:)

Step-by-step explanation:

Let 'N' rep. Nancy's age

Let 'M' rep. Molly's age

1) 2N

2) M - 6

3) 2(10) = 20

therefore, Molly is 20

M = 20

M - 6 = 14 (Zander's age)

Answer:

Which expression represents Molly’s current age in terms of Nancy’s?

Answer: 2n

Which expression represents Molly’s current age in terms of Zander’s?

Answer: z plus 6

Nancy is currently 10 years old, and Zander is 14. How old is Molly?

Answer: 20 years old

Just did the assignment and got a 100, edge 2021

Answer:

y = 4x

Step-by-step explanation:

2(3y + 6x) = 2(5y - 2x)

Divide both sides by 2.

3y + 6x = 5y - 2x

Subtract 5y from both sides. Add 2x to both sides.

-2y = -8x

Divide both sides by -2.

y = 4x

Step-by-step explanation:

h(n)=4n+ 4 find h (-3)

h(-3)=4(-3)+4

=-12+4

=--8

Answer: -8

Step-by-step explanation: h(n) = 4n + 4 means that

if we put an n into our function, a 4n + 4 comes out.

So here, we're putting a -3 into our function which means that

a 4(-3) + 4 comes out which simplifies to -12 + 4 or -8.

So h(-3) = -8 or the value of the function at -3 equals -8.

Answer:

-1 4/5

Step-by-step explanation:

In mathematics, a fraction is a number that represents a part of a whole. It consists of a numerator and a denominator. The numerator represents the number of equal parts of a whole, while the denominator is the total number of parts that make up said whole. For example, in the fraction 3  5, the numerator is 3, and the denominator is 5. A more illustrative example could involve a pie with 8 slices. 1 of those 8 slices would constitute the numerator of a fraction, while the total of 8 slices that comprises the whole pie would be the denominator. If a person were to eat 3 slices, the remaining fraction of the pie would therefore be 5  8 as shown in the image to the right. Note that the denominator of a fraction cannot be 0, as it would make the fraction undefined. Fractions can undergo many different operations, some of which are mentioned below.

Answer:

D

Step-by-step explanation:

well the 2 negative becomes a plus so it is really

3+2=5

Answer:

40

Step-by-step explanation:

Given that the number of cans are fewer than 50.

Let the number of cans = [tex]x[/tex]

It is given that no cans remain if they are put in the stacks of five cans each.

i.e. number of cans are a multiple of 5.

Let us have a look at the numbers in decreasing order which are multiples of 5 and are lesser than 50.

45, 40, 35, 30, ......

Now, let us check the numbers one by one.

If [tex]x=[/tex] 45,

Now, they are placed on stacks of three each and one can remains.

So, the remainder when [tex]x[/tex] is divided by 3 will be 1.

But when 45 is divided by 3, remainder is 0.

Now, let us check next greatest number, which is 40.

When 40 is divided by 3, the remainder is 1.

Therefore, greater number of cans can be 40.

Answer:

After 4 minutes

Step-by-step explanation:

Balloon 1

Balloon 2

Time required for the balloons to meet = x

After x minutes the first balloon will be at position:

And the second balloon will be at position:

Since they meet after x minutes, their position must be same:

So the balloons will meet after 4 minutes

Answer:

2x-10

Step-by-step explanation:

3x2+2x-16

6+2x-16

2x-10

Answer:

[tex]y = -\frac{2}{3} x - \frac{8}{3}[/tex]

Step-by-step explanation:

[tex]2x - 3y = 8\\[/tex]

Isolate y

[tex]-3y = 8-2x\\-3y = -2x+8[/tex]

Divide both sides of the equation by -3

[tex]\frac{-3y}{-3} = \frac{2x}{-3} +\frac{8}{-3} \\\\y = -\frac{2}{3} x - \frac{8}{3}[/tex]

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

Answer:

-0.5 and -1/2; 11/20 and 0.55; -1/50 and -0.02

Step-by-step explanation:

Answer:

The Answer is 5

Step-by-step explanation:

Draw 2 circles divide 10 by those 2 circles see how much you have on both circles which is 5 thats the mid point M for AB.

Your Welcome! :3 Please mark me brainliest!

Answer:

{x,y,z}={2,2,−2}

Step-by-step explanation:

Answer:

194,440 or 127,947.559

Step-by-step explanation:

if that's supposed to be a comma on 66.559 then the answer is 194,440. If not it's 127,947.559.

Answer:

Commutative property of multiplication

Step-by-step explanation:

This property states that numbers can be switched around when multiplying and the answer still remains the same

Answer:

C

Step-by-step explanation:

So we have the expression:

[tex]63\cdot 3[/tex]

And Jared rewrote it as:

[tex]3\cdot 63[/tex]

In other words, he just switched the order and the expression remains equivalent.

This is an example of the commutative property of multiplication, which states that if you change the order of a multiplication sentence, the sentence will remain equivalent.

So, our answer is C.

And we're done!

Answer:

(3, -1)

Step-by-step explanation:

Let A be the midpoint and (x,y) its coordinates

● x = (2 + 4)/2 = 6/2 = 3

● y = (5 +(-7))/2 = -2/2 = -1

So the coordinates are (3, -1)

Answer:

18

Step-by-step explanation:

Small airboat = 6

Large airboat = 4× the small airboat's capacity = 4×6= 24

thus 24-6 = 18 more people can fit in the large airboat

Answer:

In order to get an answer you have to post a question.

Step-by-step explanation:

The question is incomplete:

1. A cosmetologist must double his/her salary before the employer con realize any profit from  his/her work,  Miss, Mead paid Miss, Adams $125,00 per week to start.

2. Miss. Mead pays Miss. Brown $125.00 per week. How much money must Miss. Brown take in for  services if Miss. Mead is to realize $50.00 profit on her work? (Conditions on salary are the same  as in problem 1)  

ODS

a. $275.00 b. $325.00 c. $250.00 d. $300.00

Answer:

d. $300.00

Step-by-step explanation:

Given that a cosmetologist must double her salary before the employer can realize any profit from  his/her work, for Miss. Mead to realize $50.00 profit on her work, you would have to determine the amount that doubles the salary of the cosmetologist and add the $50 needed as profit:

Salary= $125*2=$250

$250+$50= $300

According to this, the answer is that for Mead to realize $50.00 profit on her work, Miss. Brown must take $300.

Answer:

x=2

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

6x + 2 = 9x - 4

We want terms with x on the left side and numbers on the right side.

Subtract 9x from both sides.

6x - 9x + 2 = 9x - 9x - 4

-3x + 2 = -4

Subtract 2 from both sides.

-3x + 2 - 2 = -4 - 2

-3x = -6

Divide both sides by -3.

-3x/(-3) = -6/(-3)

x = 2

Answer:

-44

Step-by-step explanation:

I believe the difference is 5 degrees Fahrenheit.

Answer:

9 9/10

Step-by-step explanation:

10

55/10 +42/10=97/10=9 7/10

Answer:

sounds like .063 to me