Dernea Gardening sells wheelbarrows. A wheelbarrow costs $6.94 to produce and it sells for $42.50. The company employs two salespeople, each of whom earns a different commission per wheelbarrow sold, as shown in the table below.

Answer: I think B is the correct answer, I am not 100% postive though. I am about 98%.

Step-by-step explanation:

For this case we have that, by definition of properties of powers and roots, it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Now, from option B we have:

[tex](\sqrt [m] {x ^ a}) ^ b = (x ^ {\frac {a} {m}) ^ b[/tex]

By definition of power properties we have:

[tex](a ^ n) ^ m = a ^ {n * m}[/tex]

So:

[tex](x ^ {\frac {a} {m}) ^ b =[/tex]

[tex]x ^ {\frac {ab} {m}} =[/tex]

[tex]\sqrt [m] {x ^ {ab}}[/tex]

Thus, it is observed that equality was demonstrated.

THE correct option is B.

ANswer:

Option B

Answer:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

Step-by-step explanation:

If we observe the given sequence, we find that the ratio of two consecutive terms is the same. i.e.

[tex]\frac{3}{1.2}=2.5\\\\\frac{7.5}{3}=2.5\\\\ \frac{18.75}{7.5}=2.5[/tex]

Such a sequence in which the ratio of consecutive terms remain the same is know as Geometric Sequence. Following formula is used to represent a Geometric Sequence:

[tex]a_{n}=a_{1}\times(r)^{n-1}[/tex]

Here:

[tex]a_{n}[/tex] is the general term. Using the value of n =1,2,3 ... will give us the term of the sequence.

[tex]a_{1}[/tex] is the first term which is 1.2 in this case.

r represents the common ratio which is 2.5.

Using these values we get:

[tex]a_{n}=1.2 \times(2.5)^{n-1}[/tex]

This formula can be used to represent the given sequence.

Answer:

60 square units.

Step-by-step explanation:

First, work out what the length of of the other leg is

[tex]120 \times 2 = 240 \: 240 \div \: 24 = 10[/tex]

Next, to work out the hypotenuse you add the squares of the legs.

[tex] {24}^{2} + 10 ^{2} = 676[/tex]

Then square root the answer from the previous calculation.

[tex] \sqrt{676} = 26[/tex]

And finally add the sides together.

26+24+10= 60 square units

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side. Then the perimeter of the triangle is 60 units.

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

A right triangle has an area of 120 square units and a leg length of 24 units.

Then the other length of the triangle will be

Area = 1/2 (b x h)

120 = 1/2 (24 h)

240 = 24h

h = 10

Then the third length of the triangle will be given by the Pythagoras theorem.

H² = b² + h²

H² = 24² + 10²

H² = 576 + 100

H² = 676

H = 26

Then the perimeter of the right-angle triangle will be

Perimeter = 10 + 24 + 26

Perimeter = 60 units

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Combine like terms:

3 x 2 - 2x + 7 - 57 - 4x + 10

-34 - 6x

Answer:

500,000 grams

Step-by-step explanation:

1 kg = 1,000 g

500*1,000=500,000

ANSWER

[tex] \frac{237}{10} \: or \: 23 \frac{7}{10} [/tex]

EXPLANATION

We want to simplify:

[tex]\frac{23}{5} + \frac{37}{5} + \frac{117}{10} [/tex]

The LCM of the denominators is 10.

We collect LCD to obtain.

[tex] \frac{23 \times 2 + 37 \times 2 + 117}{10} [/tex]

Carry out the multiplication in the numerator to get,

[tex]\frac{46 +74 + 117}{10} [/tex]

Add the numerator to get:

[tex] \frac{237}{10} = 23 \frac{7}{10} [/tex]

Answer:

55790000  :p :)

Answer: it would be 55,709,000

Step-by-step explanation:

1. Multiply the amount of iced tea mix by 1/3 to get the amount of water.

Explanation:

As seen in the graph, for every 1 cup of water, 3 tablespoons of the mix are needed.

3 * X = 1

X= 1/3

2. Use the equation y=3x

X=18 , y=cups of water needed

Y= 3*18

Y= 54 cups of water are needed

8 * x + 6

or

6 + ( 8 * x)

Answer:

[tex]6 + 8 \times x[/tex]

Step-by-step explanation:

Given the statement:

Translate the sum of 6 and the product of 8 and x

"Product of 8 and x" translated to: [tex]8 \times x[/tex]

"Sum of 6 and the product of 8 and x" translated to :

[tex]6 + 8 \times x[/tex]

Therefore, the given statement into  a mathematical expression is:

[tex]6 + 8 \times x[/tex]

Answer:

b(3) = -16

Step-by-step explanation:

b(1) = -2

b(n) = b(n-1) - 7

so

b(2) = b(1) - 7 = -2 - 7 = -9

b(3) = b(2) - 7 = -9 - 7 = -16

Answer:

a

Step-by-step explanation:

Answer:

C.

but whatever you do, don't put A or E cause it symbolizes a graph that is having a decrease in incline but this graph shows a positive incline

Answer:

Step-by-step explanation:

The formula of a lateral area of a cone:

[tex]L.A.=\pi rs[/tex]

r - radius

s - slant height

We have r = 5m and s = 12m. Substitute:

[tex]L.A.=\pi(5)(12)=60\pi\ m^2\\\\\pi\approx3.14\to L.A.\approx(60)(3.14)=188.4\ m^2[/tex]

The formula of a surface area of a cone:

[tex]S.A.=\pi r(r+s)[/tex]

Substitute:

[tex]S.A.=\pi(5)(5+12)=\pi(5)(17)=85\pi\ m^2\approx(85)(3.14)=266.9\ m^2[/tex]

Answer:

c. y= cos2/3x

Step-by-step explanation:

ANSWER

C.

[tex]y = \: \cos( \frac{2}{3}x ) [/tex]

EXPLANATION

The period of a cosine function is calculated using the formula;

[tex]T= \frac{2 \pi}{b} [/tex]

Therefore , if the period is 3π, then

[tex] \frac{2 \pi}{b} = 3\pi[/tex]

We solve b to obtain,

[tex]b = \frac{2}{3} [/tex]

This implies that, the given cosine function must have an equation of the form

[tex]y = a \: \cos( \frac{2}{3}x ) [/tex]

Among the options, the function in this form is:

[tex]y = \: \cos( \frac{2}{3}x ) [/tex]

The correct choice is C.

Least: 10.5

Greatest: 14.125

Hope that helps!

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

It is the order of the numbers in which a smaller number comes first and then followed by the next number and then the last number will be the biggest one.

The data is given below.

11.25, 12.5, 11.25, 14.125, 10.5, 11.25, 12

Arrange the order into ascending order. Then we have

10.5, 11.25, 11.25, 11.25, 12, 12.5, 14.125

The least and greatest values in the data set will be 10.5, 11.25, 11.25, 11.25, 12, 12.5, and 14.125.

More about the ascending order link is given below.

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Answer:

x=320+t-s

Step-by-step explanation:

Answer:

A on the botton axis and B on the left axis

Answer:

8/10

Half of 10 is 5 so 5/10 are blonde + 3/10 are brunette so you get 8/10 but in its simplest form would be 4/5

Answer:

8/10

Step-by-step explanation:

we know it is 8/10 because half of ten is five and 5/10 are blonde, then we add 3/10 which are brunette so we therefore get 8/10 or 4/5 if we simplify it to its simplest form!

×║hope this helps you║×

Answer:

I believe the correct answer would be 220 meters.

Step-by-step explanation:

If one centimeter equals 2 meters, then you would have to multiply the width (5.5 cm.) by 2 and the length (10 cm.) by 2. After you multiply those, you get 11 meters for the width and 20 meters for the length. You then multiply those by each other, so 11x20, and you get 220.

The actual length and width will be 20 meters and 11 meters. Then the area of the rectangle will be 220 square meters.

Let L be the length and W be the width of the rectangle.

Then the area of the rectangle will be

Area of the rectangle = L×W units

The scale for a drawing of the tennis court is 1 centimeter = 2 meters. Then the area of the actual tennis court will be

Width = 5.5 cm

Length = 10 cm

Then the actual length and width will be

L = 10 x 2 = 20 meters

W = 5.5 x 2 = 11 meters

Then the area of the rectangle will be

A = 20 x 11

A = 220 square meters

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Answer:

16%

Step-by-step explanation:

What you need to do is add both 48 and 240 together. That gives you a total of 288 flowers. Now you need to divide 48 by 288 because that will give you your percentage. In this case, it's 16%.

Answer:

Here.

Step-by-step explanation:

You add the number of flowers together to get the total number- 48 + 240 is 288.

48 should be 16.66%, as 288 divided by 6 is 48.

(I am not entirely sure about this answer.)

The answer is:

D. [tex](x-6)+5[/tex]

The answer is c because it’s the only one showing division

Answer:

Step-by-step explanation:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Answer:

-2 < -3/4.  Another way in which to do this would be to use the LCD:

-8/4 < -3/4.

Even though 8 has a larger magnitude than does 3, -8/4 is smaller than -3/4.  On the number line, -8/4 (or -2) is to the left of -3/4.

Step-by-step explanation:

Hope this helps darlin

Answer: The answer is the third one "1 25/48"

Answer:

C

Step-by-step explanation:

Before multiplying perform the addition in the parenthesis

2 [tex]\frac{1}{6}[/tex] + [tex]\frac{7}{8}[/tex]

Change the mixed number to an improper fraction

2 [tex]\frac{1}{6}[/tex] = [tex]\frac{13}{6}[/tex], thus

[tex]\frac{13}{6}[/tex] + [tex]\frac{7}{8}[/tex]

The fractions require to have a common denominator before adding

The lowest common multiple of 6 and 8 is 24

Multiply numerator/denominator of first fraction by 4

Multiply the numerator/denominator of the second fraction by 3

= [tex]\frac{13(4)}{6(4)}[/tex] + [tex]\frac{7(3)}{8(3)}[/tex]

= [tex]\frac{52}{24}[/tex] + [tex]\frac{21}{24}[/tex] = [tex]\frac{73}{24}[/tex]

Now multiply this result by [tex]\frac{1}{2}[/tex], thus

[tex]\frac{1}{2}[/tex] × [tex]\frac{73}{24}[/tex]

= [tex]\frac{1(73)}{2(24)}[/tex]

= [tex]\frac{73}{48}[/tex]

= 1 [tex]\frac{25}{48}[/tex]

Answer:

The number could be [tex]x=-6[/tex]  or [tex]x=-1/3[/tex]

Step-by-step explanation:

Let

x-----> the number

Remember that

The reciprocal of a number is 1 divided by the number

we know that

[tex]x+2(\frac{1}{x})=-\frac{19}{3}[/tex]

Solve for x

Multiply by 3x both sides

[tex]3x^{2} +6=-19x\\ \\ 3x^{2}+19x+6=0[/tex]

Solve the quadratic equation by graphing

The solutions are [tex]x=-6, x=-1/3[/tex]

see the attached figure

Verify both solutions

For [tex]x=-6[/tex]

[tex]-6+2(-\frac{1}{6})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true

For [tex]x=-1/3[/tex]

[tex]-(1/3)+2(\frac{1}{(-1/3)})=-\frac{19}{3}[/tex]

[tex]-\frac{19}{3}=-\frac{19}{3}[/tex] ----> is true

The value of x is 5 for the given statement.

An equation is a mathematical statement formed when two algebraic expressions are equated by an equal sign.

The statement given in the question is

Six less than twice a number x is four​

The equation that can be formed by this statement is

2x - 6 = 4

on solving the equation

2x = 10

x=5

The value of x is 5 for the given statement.

The complete question is

Six less than twice a number x is four​ , Determine the value of x.

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Answer:

The pennies

Step-by-step explanation:

We can create a geometric equation for the pennies and an arithmetic equation for the dollars.

The format for a geometric equation is

[tex]y=a_1(\frac{1-r^n}{1-r} )[/tex]

If we plug in the values we already know we should get the equation.

[tex]y=2^x-1[/tex]

Now we can plug in the number of days in a year for [tex]x[/tex] to find how much money we get.

[tex]2^{365}=7.52*10^{109}[/tex]

Which is basically 752 with 107 zeros following it.

Then we can divide this number by 100 to find the number of dollars it is.

We get 752 with 105 zeros following it.

Now we can find the arithmetic equation for the dollars.

We can see that 10 dollars is being added every time.

Use the formula.

[tex]a_n=a_1+m(n-1)[/tex]

We can plug in.

[tex]a_n=10+10(n-1)[/tex]

Now we can substitute 52 for [tex]x[/tex] in the equation.

[tex]a_{52}=10+10(52-1)[/tex]

[tex]a_{52}=10+510 \\ \\a_{52}=520[/tex]

So you'll be getting 520 dollars at the end of the year, which is far less than the amount of money you get from the pennies.

Answer:

[tex]1.2\ hours[/tex]

Step-by-step explanation:

we know that

Joey can paint a room in 2 hours

That means

Joey can paint the 100% of the room-------> 2 hours

so

In 1 hour ------> can paint 100%/2=50%

Chelsea can paint a room in 3 hours

That means

Chelsea can paint the 100% of the room-------> 3 hours

so

In 1 hour ------> can paint (100%/3)=33.33%

therefore

Joey and Chelsea in 1 hour can paint -----> 50%+33.33%=83.33%

by proportion

[tex]\frac{1}{83.33}\frac{hour}{\%} =\frac{x}{100}\frac{hour}{\%}\\ \\x=100/83.33\\ \\ x=1.2\ hours[/tex]

Answer:

it 100 you would do 20%of 500 and you 100

Step-by-step explanation:

Answer: 100

Step-by-step explanation: 20% of 500 Is equal to 100. It’s also 1/5 in a fraction

Answer: The formula for the volume of a polygon is  1/2 x perimeter x apothem

Answer:

The mean would be 14.4 hours.

Step-by-step explanation:

In order to find the mean, or average, of the numbers, you would add all the numbers together.

17 + 15 +14 + 14 + 12 which equals 72

Then, you take the total which is 72, and divide it by how many numbers you added together which is 5.

72/5 = 14.4

Answer:

14.4

Step-by-step explanation:

To find the mean in math, you add all of your numbers together, the divide by how many numbers you added together. So add 17,15,14,14, and 12 together to get 72. Divide 72 by 5 to get 14.4

The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Answer:The answer is A, it is 15x because the x is the number of services. The base rate is $25 so f(0) means 0 services so only $25

Step-by-step explanation: