Solve for
x
4
x
+
6
<
2
x
+
1

Give your answer as an improper fraction in its simplest form.

Answer: $28.80

Step-by-step explanation:

We can start by finding the unit rate. How much money does Kevin earn from writing 1 story problem?

We can find how much Kevin earns from writing 1 story by dividing 12 by 5.

12 ÷ 5 = 2.4.

Therefore, Kevin earns $2.40 for every story he writes.

Now we have to find how much Kevin earns from writing 12 story problems. If Kevin earns $2.40 for every story he writes, then we should mutliply that by 12 to find how much money Kevin earns for writing 12 problems.

2.40 x 12 = 28.8.

In conclusion, Kevin earns $28.80 dollars for writing 12 problems.

9514 1404 393

Answer:

Step-by-step explanation:

The inverse cosine function of your calculator is used to find the angle from the cosine value. (Be sure your calculator is set to 'degrees' mode.)

1) A = arccos(0.9976) ≈ 4°

2) U = arccos(0.6691) ≈ 48°

Answer:

true

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

4 to the third power is 64

(7-3) = 4

*2

64/4*2 = 32

Hope this helps

Answer:

im guessing 100 milligrams of vitamin c

Step-by-step explanation:

Answer:

100 mg

Step-by-step explanation:

you could think of it like this: if you divide 200mg and 200% both by two you get 100mg for 100%

Answer:

The model is [tex]P(t) = 2000(1.075)^{t}[/tex].

There will be 4122 fish in 10 years.

Step-by-step explanation:

Exponentially increasing population:

An exponentially increasing population can be represented by the following model:

[tex]P(t) = P(0)(1+r)^t[/tex]

In which P(t) is the population after t years, P(0) is the initial population, and r is the growth rate, as a decimal.

A population of 2000 fish increases at an annual rate of 7.5%.

This means that [tex]P(0) = 2000, r = 0.075[/tex]

So

[tex]P(t) = P(0)(1+r)^t[/tex]

[tex]P(t) = 2000(1+0.075)^t[/tex]

[tex]P(t) = 2000(1.075)^{t}[/tex]

This is the model.

How many fish will there be in 10 years?

This is P(10).

[tex]P(t) = 2000(1.075)^{t}[/tex]

[tex]P(10) = 2000(1.075)^{10} = 4122[/tex]

There will be 4122 fish in 10 years.

Answer:

On a day when the high temperature is 79° F, the supermarket can expect to take in $380 in frozen yogurt sales.

Step-by-step explanation:

Answer:

x=79,y=63 I have solve it in above picture

Answer:27/40

Step-by-step explanation:

7/8-1/5  

35/40-8/40=27/40

Answer: No

15.09 is greater than 12.63

Answer:

y = 10x + 5

Step-by-step explanation:

Remember when x = 0 that is when you get your y-intercept. So when you look at the chart you  can see that your answer has to have a +5 so now you are  down to only to answers.

Now slope is the change of Y over the change of X , so 5 to 55 is 50

and 0 to 5 is 5

[tex]\frac{y}{x}[/tex]=[tex]\frac{50}{5}[/tex] and that equals 10

put both parts together and

y = 10x + 5

Answer:

8% per year

Step-by-step explanation:

............

Answer:

La D

Step-by-step explanation:

porque la variable de divide

Answer:Then 16x = 240, and x = 240/16 = 15. It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

16 miles     =  12 miles

20 mins.        how many mins?

16    =   12       cross multiply       16? = 240   divide by 16     240 divided by 16 = 15 miles

20          ?                                                                                because 15 x 16 = 240

Answer:

It will take 15 minutes to travel 12 miles.

Step-by-step explanation:

Write and solve an equation of ratios:

16 miles     20 min

-----------  = -----------

12 miles          x

Then 16x = 240, and x = 240/16 = 15.  

Answer:

2)

[tex]2x + 6x + 8 = 32[/tex]

collect like terms

[tex]8x + 8 = 32[/tex]

move the constant to the right hand side and change its sign.

[tex]8x = 32 - 8[/tex]

Subtract the numbers

[tex]8x = 24[/tex]

Divide both sides of the equation by 8

[tex]x = 3[/tex]

Answer:

16 boxes will be needed for 122 books.

Step-by-step explanation:

Given that,

Each box can hold 8 books.

We need to find the number of boxes needed for 122 books. It can be calculated as follows :

[tex]\dfrac{122}{8}[/tex] = 15.25

It means 15 boxes can be filled and 16 boxes will be needed for 122 books.

Step-by-step explanation:

We can model the annual consumption of iron by the equation

c = 900 million tons x [tex]1.025^n[/tex], where

n is the number of years after 1993 and

c is the consumption for that year.

An estimate for the total consumption of iron can now be obtained by integrating this equation with respect to a dummy variable, x from 0 to n.

[tex]C = 900*10^6* \int\limits^n_0 {1.025^x} \, dx[/tex]

This equation simplifies to

C = 900 million tons x (1.025^n - 1) / ln(1.025), where

x is a dummy variable and

C is the total consumption of iron n years after 1993.

Let R be the amount of iron remaining at n years after 1993, so

R = 480 billion tons - C

R = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

We need to find the value of n when R is 0, so

0 = 480 billion tons - 900 million tons x (1.025^n - 1) / ln(1.025)

Simplify this equation to obtain

n = 107.4

So the iron will run out in the year 1993 + 107 = 2100

Answer:

2624

Step-by-step explanation:

30 * 64 = 1920

64 * 22 (1/2) = 704

1920 + 704 = 2624

i hope this helps, good luck :)

Answer: 2n > -15

Step-by-step explanation:

We can use the variable n to show the unknown number.

It says that there is twice a number, meaning two of an unknown number. We can show it by using the term 2n.

It also states that 2n is greater than -15. Because of that, we can use the equation 2n > -15, to show that 2n is greater than -15.

(Quick note: The variable n just represents the unknown number, you can subsitutue any variable into its place.)

The Inequality that shows seven more than twice a number is greater than negative fifteen is; 2n > -15

Inequality is defined as the relation which makes a non-equal comparison between two given functions.

We can consider the variable n to show the unknown number.

That says, there is twice a number, meaning two of an unknown number. We can show it by using the term "2n".

It states that seven more than twice a number is greater than negative fifteen

MEans 2n is greater than -15.

we can use the equation 2n > -15, to show that 2n is greater than -15.

Learn more about inequality ;

brainly.com/question/14164153

#SPJ2

Answer:

The slope of the line is: 1

Step-by-step explanation:

Use the equation

[tex] \frac{y2 - y1}{x2 - x1} [/tex]

Use the two sets of points given to you to slve the equation.

Assign the points their variables:

x1 y1 x2 y2

(4, 4) (8, 8)

Insert the numbers into the equation:

[tex] \frac{8 - 4}{8 - 4} [/tex]

Simplify:

[tex] \frac{4}{4} = 1[/tex]

Answer:

Step-by-step explanation:

If x is the white dot on the graph:

From what it looks like, x is right between -35 and -34 x (which is -35.5).

If that is the case then none of the answers are correct since -35.5 is equal or less than x. (the sign looks like this:  "[tex]\leq[/tex]" )

But if you have to choose one of the answers then number 4 (-35.5 < x) would be closest.

Answer: She will owe $12.50 at the end of the week, and her account balance will be -12.50 dollars.

Step-by-step explanation:

A school week is 5 days. If Ms. Ortiz borrows $2.50 every day, then we will have to multiply 2.50 by 5 to find how much Ms. Ortiz owes at the end of the week.

2.50 x 5 = 12.5, or $12.50.

Therefore, Ms. Ortiz owes $12.50 at the end of the week, and her account balance will be -12.50.

Answer:

Buying Groceries, paying for a house, maybe in your job, doing schoolwork of course, and counting money.

Step-by-step explanation:

Answer:

1. you use it to calculate time (managing your day)

2. you use it while driving (use in angles and degrees)

3. you use it while drawing (again, use in angles and degrees)

4. you use it while cooking

5. you use it while banking (financial help)

Step-by-step explanation:

hope this helps:) please mark brainliest

Answer:

-3

Step-by-step explanation:

can you mark me brainliest

Answer:

x=-3

Step-by-step explanation:

14-4x=26

-14       -14

-4x=12

/-4    /-4

x=-3

Answer:

6-18y-9x

Step-by-step explanation:

Answer:

22 meters

Step-by-step explanation:

If the penguin goes from 15 meters above sea level to sea level (0 meters), they traveled 15 meters in elevation.

Then they traveled another 7 meters when going 7 meters below sea level.

15 + 7 = 22

Hope this helps :)