A salad dressing recipe requires at least 8 oz of oil to be combined with some combination of vinegar and lemon juice in a 16 oz container. What inequality models this situation? Let x represent the number of ounces of vinegar and let y represent the number of ounces of lemon juice. Enter your answer in the box.

Assuming it's [tex]\sqrt{x^{14}}[/tex]

[tex]\sqrt{x^{14}}=\sqrt{(x^7)^2}=|x^7|[/tex]

Remember to follow PEMDAS, and left -> right rule.

First, solve the Parenthesis:

(4 + 2^3)

Solve the exponent.

2^3 = 2 x 2 x 2 = 4 x 2 = 8

4 + 8 = 12

_______________________________________________________________

(5^2) x (12)

5^2 = 5 x 5 = 25

25 x 12

_______________________________________________________________

Multiply

25 x 12 = 300

________________________________________________________________

300 is your answer

________________________________________________________________

~Rise Above the Ordinary

d+6/-2=5

d-3=5

d=8

hope it helps

Answer: the answer is lifeguard hope that helps.

Step-by-step explanation:

Square yards or square feet

A property manager charges = $59.

Rent is = 8% of rent.

Let us assume rent is = $ r per month.

Therefore, 8% of r would be 0.08 r.

Now, the total monthly fees charged by the property manager = Fix charge + 8% of rent.

Let us take total montly charge by T.

Therefore, we can setup an equation:

T = 59 + 0.08r.

Therefore, T = 59 + 0.08r is the equation to represent the total monthly fees charged by the property manager.

The total monthly fees formula is F = 59 + 0.08R. If Jack pays $165 per month, the rent is $1,325. With a rent increase to $1,495, the fees increase by $13.60 per month.

a) Equation for Total Monthly Fees

The total monthly fees charged by the property manager can be represented by the equation:

F = 59 + 0.08R

where F is the total monthly fee and R is the monthly rent.

b) Calculating Monthly Rent

If Jack pays the property manager $165 each month, we can set up the equation from part (a) and solve for R:

165 = 59 + 0.08R

First, subtract 59 from both sides:

106 = 0.08R

Next, divide by 0.08

R = 1325

Therefore, the monthly rent on Jack's property is $1,325.

c) Increased Fee with Higher Rent

If Jack raises the rent to $1,495, we need to find the new monthly fee and calculate the increase:

Total fee at $1,495 rent:

F = 59 + 0.08 × 1495

F = 59 + 119.6

F = 178.6

Previously, Jack was paying $165, so the increase in fee is:

178.6 - 165 = 13.6

Jack will pay $13.60 more each month to the property manager.

Complete Question:- To manage a rental property, a property manager charges $59 per month plus 8% of the rent.

a) write an equation to represent the total monthly fees charged by the property manager.

b) if jack pays the property manager $165 each month, what is the monthly rent on his property?

c) if jack raises the rent on the house to $1,495, how much more will he pay the property manager each month?

First, divide 1200 by 4 to find out how many pounds they make per hour. The answer is 300. Then, multiply 300 by 10 to find out how many chips they would make in 10 hours. The answer is 3,000 pounds of chips.

The factory will make 3000 pounds of potato chips in 10 hours.

To find out how many pounds of potato chips will be made in 10 hours, we can set up a proportion using the given information. The rate of making potato chips is 1200 pounds in 4 hours. Let's label the unknown as 'x'. The proportion would be:

1200 pounds / 4 hours = x pounds / 10 hours.

To solve for 'x', we can cross multiply and then divide:

1200 pounds * 10 hours = 4 hours * x pounds;

Now divide both sides of the equation by 4 to isolate 'x':

x = (1200 pounds * 10 hours) / 4 hours = 3000 pounds.

Therefore, the factory will make 3000 pounds of potato chips in 10 hours.

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Answer:

3 3/5

Step-by-step explanation:

Final answer:

Given that the average of m, n, and -1 is 0, the sum of m+n is calculated to be 1.

Explanation:

The question asks for the sum m+n given that the average of m, n, and -1 is 0. To find the sum, we can set up an equation using the definition of the average:

(m + n + (-1)) / 3 = 0

Solving this equation, we get:

m + n - 1 = 0

And once we add 1 to both sides:

m + n = 1

Therefore, the value of m+n is 1.

Step 1

Find the equation in function notation

Let

h-------> the number of hours

y-------> the function for the walker fee in dollars

we know that

the hourly rate is [tex]30\frac{\$}{hour}[/tex]

[tex]y=6+30h[/tex]

in this linear equation

the independent variable is the variable h

the dependent variable is the variable y

Convert to function notation

Let

[tex]f(h)=y[/tex]

[tex]f(h)=6+30h[/tex]

Step 2

Find how much does the dog walker charge for a 45 minute walk

Convert the time in hours

[tex]1\ hour=60\ minutes[/tex]

[tex]45\ minutes=45/60=0.75\ hours[/tex]

substitute in the equation

For [tex]h=0.75\ hours[/tex]

[tex]f(0.75)=6+30*(0.75)=\$28.5[/tex]

therefore

the answer is

the dog walker charge for a 45 minute walk [tex]\$28.5[/tex]

Statements

Step 3

The dependent variable is the number of hours true or false

The statement is false,

because the independent variable is the number of hours and the dependent variable is the walker fee in dollars

Step 4

The function for the walker fee is f(h)= 30h+6 true or false

The statement is True --------> see the Step 1

Step 5

The dog walker charges $22.5 for a 45 min walk true or false

The statement is False

Because the dog walker charges for a 45 minute walk [tex]\$28.5[/tex]

The dependent variable is indeed the number of hours. The proper function for the walker's fee is f(h)= 6+30h. When using the function to calculate a 45-minute walk, we find the cost to be $28.5, not $22.5.

The subject of this question is Mathematical analysis, more specifically, function notation and applied arithmetic. Here, the dependent variable is indeed the number of hours, it is true. We can express the cost of dog walking as a function of the time in hours. We denote the function with 'f' and the hours with 'h'. The flat rate plus the hourly rate can be express as f(h) = 6 + 30h. So the function given f(h)= 30h+6 is  true.

To find a 45-minute walk cost, we need to express 45 minutes in hours, because our function is defined in terms of hours. 45 minutes is 0.75 of an hour. Substituting h = 0.75 into the function, we get f(0.75) = 6 + 30* 0.75 = 6 + 22.5 = 28.5, not $22.5. So, the statement 'The dog walker charges $22.5 for a 45min walk' is false.

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[tex]c^2-4=0\qquad|+4\\\\c^2=4\to c=\pm\sqrt4\\\\c=-2\ \vee\ c=2[/tex]

Answer:

The answer is probably 4.

Step-by-step explanation:

Answer:

Option C.

Step-by-step explanation:

The given table represents a linear function.

If a linear is graphed by a line and the line passes through two points (x, y) and (x', y'), slope of the line is calculated by the formula

Slope = [tex]\frac{y-y'}{x-x'}[/tex]

Since line passes through two points (-2, -2) and (-1, 1)

Therefore, slope = [tex]\frac{1+2}{-1+2}[/tex]

                            = [tex]\frac{3}{1}[/tex]

                            = 3

Slope of the line will be 3.

Option C. is the answer.

7. Loan amount = $12000

Monthly payment = $380

Duration of the repayment = 3 years = 3(12) = 36 months.

Total amount Jason repaid = 36 × 380 = 13680

Interest on loan amount = amount repaid - loan amount

= 13680 - 12000

= 1680

Hence, total amount Jason paid in interest on loan = $1680 and the correct option is (D).

8. Loan amount = $35000

Monthly payment = $315

Duration of the repayment = 10 years = 10(12) = 120 months.

Total amount Gerald repaid = 120 × 315 = 37800

Interest on loan amount = amount repaid - loan amount

= 37800 - 35000

= 2800

Hence, total amount Gerald paid in interest on loan = $2800 and the correct option is (B).

I'm pretty sure the unit price is $0.14. :)

Well then you need to use inverse operations. SO......

Since it is addition you do subtraction.

-18 - 12

-18 + -12

-30      SOOOOO.......

-30 + 12 = -18

-18 = -18

M = -30

answer:  [tex]m = -1.2[/tex]

work:

[tex]5m + 12 = -18[/tex]  | subtract the 12 over to the -18, and solve.

[tex]5m = -6 [/tex]  | divide by 5m on both sides, and solve.

[tex]m = -1.2[/tex]  | final answer.

hope this helps! ❤ from peachimin

Answer: The total weight  is [tex](1.14)(10^{7})[/tex] pounds.

Step-by-step explanation:

1. To solve this problem you need to multiply the number of whales by the weight. Based on the given information, the weight of each whale is approximately [tex](3.8)(10^{5})[/tex] pounds, therefore:

[tex](30)[(3.8)(10^{5})]=11,400,000[/tex] pounds.

3. To express the result in scientific notation, you must move the decimal point to the right until you have a non-zero number on the left of the decimal point. Then, it is:

[tex](1.14)(10^{7})[/tex]

Answer: The group weights 1.14x10^7 pounds

Step-by-step explanation:

The group has 30 whales.

Each whale weights 3.8x10^5 pounds, then, 30 whales weight 30 times that amount:

Total weight = (30)*(3.8x10^5)

Remember that for the scientific notation we want only one digit before the decimal point.

Here, i will use that 30 = 3x10^1

(3x10^1)*(3.8x10^5) pounds = (3*3.8)x10^(5 + 1) pounds

(11.4)x10^6 pounds

and 11.4 = 1.14x10^1

(11.4)x10^6 pounds =  1.14x10^(1 + 6) pounds = 1.14x10^7 pounds

Let's assume

It started in 2000

so, t=0 in 2000

[tex]P_0=6.4million[/tex]

we can use formula

[tex]P(t)=P_0 e^{rt}[/tex]

we can plug value

[tex]P(t)=6.4 e^{rt}[/tex]

In 2005, the same survey was made and the total amount of gamma ray bursts was 7.3 million

so, at t=2005-2000=5

P(t)=7.3 million

we can plug value and then we can solve for r

[tex]7.3=6.4 e^{r*5}[/tex]

[tex]r=0.02632[/tex]

now, we can plug back

[tex]P(t)=6.4 e^{0.02632t}[/tex]

now, we have

P(t)=1 billion =1000 million

so, we can set it and then we can solve for t

[tex]1000=6.4 e^{0.02632t}[/tex]

[tex]t=191.924[/tex]

approximately

[tex]t=192[/tex]

Year is 2000+192

year is 2192................Answer

The area of the outer ring of the circle can be found by subtracting the area of the inner circle from the area of the whole circle.

The area of the whole circle is represented by the expression 25x2 - 12x - 9. To find the area of the outer ring of the circle, we need to subtract the area of the inner circle from the area of the whole circle.

The area of the inner circle can be represented as a difference of squares: (5x - 3)(5x + 3).

Therefore, the area of the outer ring of the circle is given by the expression (25x2 - 12x - 9) - (5x - 3)(5x + 3).

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54900 not very hard just do 610 by 90

Hello there!

This question is so easy to me.

Explanation:

↓↓↓↓↓↓↓↓↓↓↓

First you had to multiply by the numbers.

[tex]612*87=53244[/tex]

[tex]=53244[/tex]

Answer⇒⇒⇒53244

Hope this helps!

Thank you for posting your question at here on Brainly.

Have a great day!

-Charlie

Games*80% = 4

g*.8 = 4

g = 4/.8

games = 5

5 games played

Answer:

5

Step-by-step explanation:

The mean of the remaining four numbers is 4.

To find the mean of the remaining four numbers, we need to first find the sum of all six numbers.

The mean of six numbers is given as 4.5. So, the sum of all six numbers is [tex]\(4.5 \times 6 = 27\)[/tex].

Now, we know that the mean of two of the numbers is 5.5. So, the sum of these two numbers is [tex]\(5.5 \times 2 = 11\)[/tex].

To find the sum of the remaining four numbers, we subtract the sum of the two numbers with a mean of 5.5 from the sum of all six numbers:

27 - 11 = 16

Now, since the mean is the sum of all numbers divided by the count of numbers, the mean of the remaining four numbers is [tex]\( \frac{16}{4} = 4 \)[/tex].

Therefore, the mean of the remaining four numbers is 4.

To find the perimeter of the triangle, add the lengths of all three sides. Use the Law of Sines to calculate the lengths of the other two sides. To find the area, use the formula: Area = (1/2) * AB * AC * sin(C)

To find the perimeter of the triangle ABC, we need to add the lengths of all three sides. Given that AB = 8, we can calculate the length of the other two sides using the Law of Sines. Since m∠A = 60° and m∠C = 45°, we have:

AC/sin(60°) = AB/sin(m∠C)

AC/sin(60°) = 8/sin(45°)

Solving for AC, we find that AC is approximately 9.66. Similarly, we can find BC using:

BC/sin(∠C) = AB/sin(∠A)

BC/sin(45°) = 8/sin(60°)

Solving for BC, we find that BC is approximately 8.62. Therefore, the perimeter of triangle ABC is:
8 + 9.66 + 8.62 = 26.28

To find the area of the triangle, we can use the formula:
Area = (1/2) * AB * AC * sin(∠C)

Area = (1/2) * 8 * 9.66 * sin(45°)

Calculating this, we find that the area of triangle ABC is approximately 30.36 square units.

12 ÷ 75 = 0.16.

So she runs 0.16 miles per minute.

Hope it helps!

9.20 divides by 4 is 2.3 per quarter pound

There are 9 quarters in 2 1/4

So 9 times 2.3 is 20.7

First you would take 35% of 40:

.35 * 40 = 14

That's how many skittles ARE RED. Now, subtract 14 from 40:

40 - 14 = 26

Hope this helps!