For what values of the variable does each of the following expressions make sense? We call the set of this values the domain of the expression. \sqrt{4-6a}

Answer: 120

Step-by-step explanation: Since the equation is asking for 24% percent of 500 we will have to solve by putting them both as fractions. 24 percent automatically means the denominator will be 100 so we have 24/100. 500 is the denominator since that's the base number we are trying to solve for 24% of 500. So we put x over 500. The equation will be:

24/100 x/500

We multiply diagonally so 24*500=12000.

We then divide 500 by 100 which equals 120.

The reason why we didn't multiply 100 and x is because we are trying to solve for x so we had to simplify each side until we got what x was equal to.

Answer:

She has 120 Red Marbles

Step-by-step explanation:

1% of 500= 5 so you can do 5x24 which would be 120.

I hope it helps you!

~XxBellsAloneXx~

Below, you'll find a list of all the answers to the questions which are solved by using proportional relationship.

The general equation for a straight line is y=mx + c, where m represents the line's slope and expresses the rate of change of y per unit time with respect to x.

The point where the graph crosses the y-axis is called the y-intercept, or c.

Direct proportionality is also represented by y = mx. We can express m as follows: m = y/x

OR

y₁/x₁ = y₂/x₂

In our cafeteria, lemonade is made using a powdered drink mix. The quantity of water required to manufacture a certain amount of powdered drink mix is proportional to the number of scoops required. For every 2 scoops of mix, 1/2 gallon of water is required, and for every 5 scoops,

1 1/4 gallons of water are required.

The proportional formula is written as y = k x.

Using the information provided, we can now write: 2 scoops require 0.5 gallon of water.

1.25 gallon of water is required for 6 scoops.

This means that k = 2/0.5

k = 2/(1/2)

k = 2 x 2

k= 4

Equations describing the relationship can be expressed as y = 4x + c.

0.5 gallon of water is now required for 2 scoops.

2=4(1/2)+c

2=2+c

c=0

Therefore, the formula will be y = 4x.

The end includes a graph for y = 4x.

12 scoops of water:

12=4x

x=3 gallons of water is needed.

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Answer:

D. \(\sqrt[4]{7}\)

Step-by-step explanation:

Answer:

d.

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Answer:

y = -1

Step-by-step explanation:

the x always has to be 0 so when you look at the point it is (0, -1 ) therefore the y = -1

Answer:

The coordinates are (3,1)

Step-by-step explanation:

The class had cleaned x × A square miles before lunch.

Let's assume that the area of the park is A square miles, and the portion of the park cleaned by Mai's class before the lunch break is represented by x (a fraction or decimal between 0 and 1).

If the class had cleaned x portion of the park, then the area they had cleaned is x times the total area of the park:

Area cleaned before lunch = x × A

Since x represents a fraction or decimal, multiplying it by the total area A gives us the corresponding portion of the park that was cleaned.

Let's say the park has an area of A square miles, and the area that Mai's class cleaned up before lunch is denoted by the number x (a fraction or decimal between 0 and 1).

If the class had cleaned a certain percentage of the park, their cleaned area would be x times the park's overall area:

Before lunch, the area was cleaned = x A

We may calculate the proportion of the park that was cleaned by multiplying x by the entire area A because it indicates a fraction or decimal.

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Answer:

B

Step-by-step explanation:

rational number means comparison between two numbers

eg: 1:3 or 1/3 or 0.333

irritional number does not

The one of the numbers is an irrational number that is A) 134 / 675

Rational numbers are numbers which can be written in the form of \(\dfrac{a}{b}\)where a and b are integers. Example: 1/2, 3.5 (which is writable as 7/5) etc.

Irrational numbers are those real numbers which are not rational numbers.

Noted that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

For example

: 1:3 or 1/3

or 0.333

But irrational number does not.

The rational number means the comparison between two numbers

A) 134 / 675 = 0.19

B) 3.

C) 7.676767…

D) 8.12131415…

So,  A) 134 / 675

This is an irrational number

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Answer:

Step-by-step explanation:

considering A). hemisphere diameter = 48 yd

volume of hemisphere = (2/3)*pi*(r)^3

the radius of hemisphere = diameter/2 = 48/2 = 24 yd

hence, the volume of hemisphere = (2/3)*pi*(24)^3  yd^3

taking pi = 3.14

volume = 28938.24 yd^3 approximately volume = 28940 yd^3

considering B). Circumference of a great circle = 26 m

circumference of sphere = 2*pi*r

therefore r = 4.14 m

volume of sphere = (4/3)*pi*(r)^3

volume of sphere = 297.077 m^3

Answer:

24. A. 28952.9 yd²

B. 297.2 m³

Step-by-step explanation:

24.

A.

diameter=48 yd

radius (r)=diameter/2=48/2=24yd

We have

Volume of Hemisphere= ⅔*πr³=⅔*π*r³

Substituting value

Volume of Hemisphere=⅔*π*24³=28952.9 yd³

B.

Circumference of great circle=2πr=26m

2πr=26

r=26/(2π)

r=4.14

Now

Volume of sphere = 4/3*πr³

Volume of sphere=4/3*π*4.14³=297.2 m³

Answer:

Step-by-step explanation:

3√2×8√17=24√(2×17)=24√(34)

it is an irrational number.

√34 can't be expressed in the form p/q where p and q are integers.

moreover

5²=25

6²=36

so √34 is between 5 and 6.

The dimensions of the rectangle are 4 ft by 5 ft.

Given that the length of a rectangle is 3 ft less than twice the width, and the area of the rectangle is 44 sq.ft. We have to find the dimensions of the rectangle. Let's consider the width of the rectangle as x ft.Length of the rectangle = (2x - 3) ftArea of the rectangle = Length x Width44 = (2x - 3) x x44 = 2x^2 - 3x44 = x (2x - 3)2x^2 - 3x - 44 = 0To solve for x, we will factorize the equation by splitting the middle term.2x^2 - 8x + 5x - 20 = 0Factorize2x(x - 4) + 5(x - 4) = 0(x - 4) (2x + 5) = 0x = 4 ft (since the width of a rectangle can't be negative)or 2x = -5This gives us an invalid value, so x = 4 ftNow that we have the width of the rectangle, we can calculate the length as follows:Length of the rectangle = (2x - 3) ftLength of the rectangle = (2 * 4) - 3Length of the rectangle = 8 - 3Length of the rectangle = 5 ft.

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Answer:

36

Step-by-step explanation:

The least common multiple for 9, 12, and 18 is 36

Answer:

0.24

Step-by-step explanation:

Answer:

x = 2 and x = −3.

Step-by-step explanation

i solved it

Answer:

1/6 square miles

Step-by-step explanation:

lw=a

1*1/6=1/6

Answer:

1/6 square mlies

Step-by-step explanation:

Answer:

15.6 MPG

Step-by-step explanation:

You start a trip when your odometer reads 23,672 miles, and you have a full tank of gas. After driving a few hours, you fill up your tank. If you buy 16.5 gallons and your odometer reads 23,927, how many miles to the gallon are you getting, rounded to the nearest tenth of a gallon.

You went 23,927 - 23,672 = 255 miles

Because you started on a full tank, you went 255 miles on 16.5 gallons

to figure MPG:

255/16.5 = 15.4545... MPG

rounded to nearest 10th of gallon:

15.6 MPG

The expression for the total amount of sales the store makes will be:25s + 28.8p

Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both.

From the information, the shoe store stocks x pair of sneakers and y pairs of sandals. During a promotion, a pair of sneakers is priced at $50 and a pair of sandals at $36. The shop manages to sell half the sneakers and 80% of the sandal.

Let sneakers = s

Let sandals = p

An expression for the total amount of sales the store makes will be: 1/2(50s) + 0.8(36p).

= 25s + 28.8p

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From the p-value of the test, it is found that the conclusion is:

At the null hypothesis, it is tested if there is no difference between the mean weight loss of men and women, that is:

\(H_0: \mu_m - \mu_w = 0\)

At the alternative hypothesis, it is tested if there is difference, that is:

\(H_1: \mu_m - \mu_w \neq 0\)

The p-value is of 0.03 < 0.05, hence the null hypothesis is rejected, and it is found that there is significant evidence to conclude that there is a difference.

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Answer:

There is sufficient evidence that there is a difference in mean weight loss between men and women.

Step-by-step explanation:

got it right

The question that Diondra would ask that does not allow for variability is A. Which movie did her best friend like the most?

The other three questions ("How many awards did each movie win?", "What is the total dollar amount that each movie made from ticket sales?", and "How many weeks did each movie play in the theater?") all offer metrics by which a movie's popularity could be measured, and those measurements could vary from movie to movie.

However, the question about her best friend's favorite movie depends solely on the opinion of one individual, not a variable measure, and therefore doesn't allow for variability.

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Answer:

ss

Step-by-step explanation:

s

The characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

When we talk about tessellation, our minds go to a situation in which many shapes especially polygons are packed together without spaces between them.

Thus, the characteristic of the repeating shapes in a tessellation is that shapes cannot have spaces between them.

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The sequence is decreasing as n increases and sequence converges to the value 0.

The given sequence is defined as aₙ = 1 / (7n + 3).

To determine if the sequence converges or diverges, we need to analyze its behavior as n approaches infinity.

As n increases, the denominator 7n + 3 also increases which means that the values of aₙ will get smaller and smaller, approaching zero as n becomes larger.

The sequence converges to the value 0.

The sequence is decreasing as n increases.

The sequence converges to the value 0.

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Answer:

We don't need to worry about the displaystyle- {3} −3 anyway, because we dcided in the first step that displaystyle {x}ge- {2} x ≥ −2. So the domain for this case is displaystyle {x}ge- {2}, {x}ne {3} x≥ −2,x≠ 3, which we can write as displaystyle {left [- {2}, {3}right)}cup {left ({3},inftyright)} [−2,3)∪(3,∞).

Step-by-step explanation:

Answer:

3s = 5s - 10

Step-by-step explanation:

Answer:

∠BCA = 59

x = 2

∠B = 83

Step-by-step explanation:

Properties of a parallelogram:

Opposite angles are congruent

Opposite side lengths are congruent

That being said lets find x, ∠B and ∠BCA

First x

Segment AD and segment CD are parallels which are congruent

Knowing that we create an equation

6x = 12

step 1: Divide each side by 6

6x/6=x

12/6=2

we're left with x = 2

For ∠B

∠D and ∠B are opposite angles of a parallelogram

meaning that ∠D≅∠B

So if ∠D=83 then ∠B also = 83

For ∠BCA

∠BCA and ∠DAC happen to be opposite angles ( like stated previously opposite angles are congruent.)

Because ∠DAC = 59 ∠BCA also = 59

Answer:

hope this help you

have a nice day/night

Answer:

3, 9, 15, 21

Step-by-step explanation:

3x1=3 v

3x2=6

3x3=9 v

3x4=12

3x5=15 v

3x6=18

3x7=21 v

Skip one each time, 3, 9, 15, 21

Answer:

-22x-11

Hope this helped you, and have a good day!