Growing up, I never got enough of my favorite side dishes. I even conducted a - survey to prove to my family that they should make more mashed potatoes. In my survey, I found that the ratio of people who prefer mashed potatoes to sweet potato casserole was 7:2. I 18 people preferred sweet potato casserole, how many preferred mashed potatoes? .S​

Answer:

x = 11

y = 43

Step-by-step explanation:

x = small number

y = large number

Set up a system of equations:

y = 10 + 3x

x + y = 54

Solve system by substitution:  x + 10 + 3x = 54

                                                  4x + 10 = 54

                                                   4x = 44

                                                    x = 11

x + y = 54

11 + y = 54

y = 54 - 11

y = 43

Answer:

its only 20

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Step-by-step explanation:

f(x)=x^3+7

y=x^3+7

x=y^3+7

y^3=x-7

y=cube root (x-7)

f(x) inverse=cube root of x-7

The inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].

The given function is f(x)=x³+7.

Inverse function is represented by [tex]f^{-1[/tex] with regards to the original function [tex]f[/tex] and the domain of the original function becomes the range of inverse function and the range of the given function becomes the domain of the inverse function. The graph of the inverse function is obtained by swapping (x, y) with (y, x) with reference to the line y = x.

Now, f(x)=x³+7 can be written as y=x³+7

⇒ x=y³+7

⇒ y³=x-7

⇒ [tex]y=\sqrt[3]{(x-7)}[/tex]

Therefore, the inverse function of the given function is [tex]y=\sqrt[3]{(x-7)}[/tex].

To learn more about the inverse function visit:

https://brainly.com/question/28595547.

#SPJ5

Answer:

5 hours or 300 minutes

Step-by-step explanation:

If Peter has already written 600 words, he has 7,500 words left to write. If he can write 25 words per minute, it will take 300 minutes for him to finish because 7,500/25=300. 300 minutes can be converted to 5 hours.

Answer:

option C is the correct answer

Answer:

29

Step-by-step explanation:

n = smaller number

n + 11 = larger number

3(n + 11) = 4n + 4

3n + 33 = 4n + 4

33 = n + 4

29 = n

Answer:

B) Ill only

Step-by-step explanation:

This is because y = arcsin x can be re-written as sin y = x, We then differentiate sin y = x implicitly with respect to z to obtain

d(siny)/dz = dx/dz

(cosy)dy/dz = dx/dz

dy/dz = (1/cosy)dx/dz

Answer:

Average speed = 90 km/h

Step-by-step explanation:

Given that:

Distance covered at 100 km/h = 450 km

Time = [tex]\frac{Distance}{Speed}[/tex]

Time = [tex]\frac{450}{100}=4.5\ hours[/tex]

Distance covered at 60 km/h = 90 km

Time = [tex]\frac{90}{60}=1.5\ hours[/tex]

Total distance travelled = 450 + 90 = 540 km

Total time taken = 4.5 + 1.5 = 6 hours

Average speed = [tex]\frac{Total\ distance}{Total\ time}[/tex]

Average speed = [tex]\frac{540}{6}[/tex]

Average speed = 90 km/hr

Hence,

Average speed = 90 km/h

Answer:

2.5

Step-by-step explanation:

The radius is half of the diameter. 5 / 2 = 2.5

Answer:

2.5

Step-by-step explanation:

radius = Diameter ÷ 2

We plug the  diameter value that we know

radius = 5 ÷ 2

Then Solve

5 ÷ 2 = 2.5

Done!

Remember diameter divided by two = the radius

Why? Because one radius is equivalent to 1 half. So we need two halves to form one full.

The diameter is the size of the full length which is why it is divided by two in order to form two halves!

Hope This Helps

Answer:

1/3

Step-by-step explanation:

9514 1404 393

Answer:

  (15, 0) = (movies, games)

Step-by-step explanation:

If the goal is to purchase as many items as possible, that is best reached by spending all of the money on the least-expensive items. Purchase of 15 movies (at $20 each) will do what Lane wants.

  (movies, games) = (15, 0)

__

The graph shows that answer choice (12, 4) is not in the solution set.

Answer:

625

Step-by-step explanation:

250 divided by 2 to figure out how many calories in each piece, then you get 125 and muliply it by 5!

Answer:

Step-by-step explanation:

Total pencils = 10 + 10 + 10 = 30 pencils

Option A 1/30 is the correct answer

Answer:

letter b

Step-by-step explanation:

Answer:1/5

Step-by-step explanation:

It’s goes 1/5 per time

Answer:

24

Step-by-step explanation:

52-2x=4 (move the constant to the right)

-2x=4-52 (calculate)

-2x=-48 (divide both sides)

solution: 24

hope this helps!

Answer:Change values to whole numbers.

Convert any mixed numbers to fractions.

Convert 3 1/8

3 1/8 = 25/8

We now have:

5 : 3 1/8 = 5 : 25/8

Convert the whole number 5 to a fraction with 1 in the denominator.

We then have:

5 : 3 1/8 = 5/1 : 25/8

Convert fractions to integers by eliminating the denominators.

Our two fractions have unlike denominators so we find the Least Common Denominator and rewrite our fractions as necessary with the common denominator

LCD(5/1, 25/8) = 8

We now have:

5 : 3 1/8 = 40/8 : 25/8

Our two fractions now have like denominators so we can multiply both by 8 to eliminate the denominators.

We then have:

5 : 3 1/8 = 40 : 25

Try to reduce the ratio further with the greatest common factor (GCF).

The GCF of 40 and 25 is 5

Divide both terms by the GCF, 5:

40 ÷ 5 = 8

25 ÷ 5 = 5

The ratio 40 : 25 can be reduced to lowest terms by dividing both terms by the GCF = 5 :

40 : 25 = 8 : 5

Therefore:

5 : 3 1/8 = 8 : 5

Step-by-step explanation:

Answer:

a.) T b.) T

Step-by-step explanation:

Answer:

Gene then pouts

Step-by-step explanation:

Answer:

we can say that the points are reflection of each other over the x-axis.

Option D is correct option.

Step-by-step explanation:

We need to find which of the following statements are true about the points (5,3) and (5,-3) is true.

We are given a point (5,3)

and other point (5,-3)

We know that refection over x-axis states that the value of y-coordinate will be negated while x-coordinate value remain same.

In our case, first point (5,3) the coordinates are: x=5, y=3

The other point (5,-3) the coordinates are: x=5, y=-3

The x-coordinate value remains same while, y-coordinate value is negated (negative)

So, we can say that the points are reflection of each other over the x-axis.

Option D is correct option.

Answer: Option D is the correct option.

Step-by-step explanation:

We need to find which of the following statements are true about points (5,3) and (5,-3) is accurate.

We are given a point (5,3)

and another point (5,-3)

We know that reflection over the x-axis states that the value of the y-coordinate will be negated while the x-coordinate value remains the same.

In our case, for the first point (5,3) the coordinates are x=5, y=3

The other point (5,-3) the coordinates are: x=5, y=-3

The x-coordinate value remains the same while, the y-coordinate value is negated (negative)

So, we can say that the points are reflections of each other over the x-axis.

Answer:

a) $2.75

b) $2.2

c) Second tomato option is better value option.

Step-by-step explanation:

First option to buy tomatoes = $2.75 per pound

Second option to buy tomatoes:

To buy a box which is a 5 pound box and the price is $11.

To find:

a) Unit price for the first tomato option.

b) Unit price for the second tomato option.

c) Better value option on the basis of price.

Solution:

Let the consider the unit here to be a pound.

So, we will find the price of tomato per pound to find the unit price of tomato.

a) Unit price of the first tomato option is : $2.75 per pound

b) Unit price of the second tomato option:

Price for 5 pounds = $11

Dividing both sides with 5 to find the price of 1 pound or unit price.

Price for [tex]\frac{5}{5}[/tex] = 1 pound = [tex]\frac{\$11}5 = \$2.2[/tex]

c) To find the better value option, we can compare the unit prices of the two tomato options.

Here, we have the two tomato options with unit prices as:

$2.75 and $2.2

Second tomato option has a lower unit price, therefore, second option is better value option on the basis of price.

Answer: 4²

Explanation: First, we count the number of 4's to

find that we have 2 factors of 4.

So to write this problem in exponential form, we use a base

of 4 and an exponent of 2 which can be read as "4 to the 2nd power."

Answer:

4×4×4=64 to the power of 3=64

Answer:

the answer is 19.2

Since you already know how to multiply, how you do this is when you see a negative sign your answer will come out as positive, and if there's no negative sign then your answer is positive. If there's 2 negative signs then your answer is positive.

(+)(+) = positive

(-)(+) = negative

(-)(-) = negative

Answer:

You should study for about 30-60 minutes and make sure your somewhere quite so you can focus. While you take your assessment you want water, and maybe some gum.