Alice works for a paint manufacturer. She is paid 3% commission on her first $20,000 of monthly sales and 8% commission on all sales over $20,000. In March her sales were $54,500; in April, her sales totaled $47,300. What were the total commissions she earned for the 2 months?​

Answer:

unit rate = cost/weight

Step-by-step explanation:

To find the unit rate, divide the cost by the weight of each brand.

The lower unit rate represents a lower price, so that is the one you choose.

Answer:

Brand B.

Step-by-step explanation: Jacob should pick Brand B because he will save money. This is because if he buys 8 ounces 6 times, he will have to pay about $17.94, but if he buys 16 ounces 3 times, he will only spend $14.97.

Hope this helps! :)

Answer:

1 3/4

Step-by-step explanation:

i took this quiz its the correct answer...

Answer:

B. ! 3/4 miles

Step-by-step explanation:

I got it right on edge.

Answer:  see proof below

Step-by-step explanation:

  Statement                      Reason

1. YO = NZ                      1. Given

2. OZ = OZ                     2. Reflexive Property

3. YO + OZ = YZ             3. Segment Addition Property

   NZ + OZ = NO

4. YO + OZ = NZ + OZ    4. Addition Property

5.  YZ = NO                     5. Substitution

6. ∠M ≅ ∠X                      6. Given

7. ∠N ≅ ∠Y                       7. Given

8. ΔMNO ≅ ΔXYZ           8. AAS Congruency Theorem

Step-by-step explanation:

Hope it helps u please mark it as brainlist

Answer:

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

Step-by-step explanation:

There are two types of decisions that we can make .

One is :

C. reject the alternative hypothesis

F. accept the null hypothesis

The other is :

E. reject the null hypothesis

G. accept the alternative hypothesis

Another type of decision is when we

D. fail to reject the alternative hypothesis

E. reject the null hypothesis

and

H. fail to reject the null hypothesis

C. reject the alternative hypothesis

It is clear from the above that when we reject one hypothesis we accept the other hypothesis.

or

When we fail to reject one hypothesis we reject the other hypothesis.

Answer:

the answer would be 1/15, or approximately 0.067.

Step-by-step explanation:

Answer:

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Step-by-step explanation:

Given that

Observations                     Samples                             Total

40-49             10       11              9         9                        39

The degrees of freedom is given by

For numerator= k-1 = 4-1=3

For denominator= n-k= 39-4= 35

F statistic is given by

F= MS between/ MS within

=11.632991 / 1.261143 = 9.2242

Where

Mean Square Between = MS between = 11.632991

Mean Square Within = MS within = 1.261143

Hence the correct choices are  A, C and F

A. The F statistic increases as the differences among the sample means for the exercise groups increase.

C. The F statistic has 3 degrees of freedom in the numerator and 35 degrees of freedom in the denominator.

F. The F statistic is 9.2242.

Suppose we have

Mean Square Between = MS between = 18.632991

Mean Square Within = MS within = 1.261143

Then F statistic would be = 14.77468 > 9.2242

which tells that The F statistic increases as the differences among the sample means for the exercise groups increase.

Answer:

Step-by-step explanation:  

8.935e+6

Answer:

8.935e+6 minutes

Step-by-step explanation:

[tex]1 calendar year = 525600\\17 years\:\:\:\:\:\:\: = x\\\\x = 525600\times 17\\\\=8935200[/tex]

Answer:

If the present age is x, then age n years later/hence = x + n. If the present age is x, then age n years ago = x – n. The ages in a ratio a: b will be ax and bx. If the current age is y, then 1/n of the age is y/n.

Answer:

ab=1

Step-by-step explanation:

Assuming that you meant ab=1

[tex]x=10^{a}\\\\y=10^b\\\\x^b*y^a=100\\\\(10^a)^b*(10^b)^a=100\\\\10^{ab}*10^{ba}=100\\\\10^{ab+ba}=100\\\\10^{2ab}=100\\\\(10^2)^{ab}=100\\\\100^{ab}=100\\\\ab=1[/tex]this is because the exponents have to be equal

Answer:

a) C = 0.18M + 70

Step-by-step explanation:

Charges:

Totals, considering number of minutes:

So the equation would be:

This is the option a)

Answer:

7. 4^2 = 6

8. 7^2 = 49

9. 6^4 =1296

10. 1^2 = 1

11. 5^3 =125

12. 1^3 =1

Step-by-step explanation:

Answer:

[tex]\huge \boxed{m=12}[/tex]

Step-by-step explanation:

[tex]m+-12=0[/tex]

[tex]\sf Add \ 12 \ to \ both \ sides.[/tex]

[tex]m+-12+12=0+12[/tex]

[tex]m=12[/tex]

Answer:

51

Step-by-step explanation:

33+2(5+8)-(6-2)2

open the brackets FIRST

2(5+8) = 26

33+26-(6-2)2

33+18

= 51

Answer:

The map that has a scale of 1 inch to 500 feet must be larger in size

Step-by-step explanation:

Since both maps represent the ame park area, the map that show more detail using 1 inch for every 500 feet, must be larger in size. notice that in order to represent 1000 feet this map needs to use 2 inches, while the other one uses only 1 inch of paper.

Equation for the monthly wage will be → W = 0.07S + 5000

   Given in the question,

Let the total sales of a month = $S

Therefore, commission on this sale = 7% of $S

                                                            = $0.07S

Salary of the month = $5000

Total earnings (W) of the sales person = $(0.07S + 5000)

     Therefore, equation for the monthly wage will be,

W = 0.07S + 5000

Learn more,

https://brainly.com/question/25362379

Answer:

Step-by-step explanation:

f(x) = x² - 4x

g(x) = 2x – 3

To find f(g(4)) we must first find f(g(x))

To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)

That's

We have

Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4

We have

We have the final answer as

Hope this helps you

Answer:

Answer:

f(g(4)) = 5f(g(4))=5

Step-by-step explanation:

f(x) = x² - 4x

g(x) = 2x – 3

To find f(g(4)) we must first find f(g(x))

To find f(g(x)) substitute g(x) into f(x) that's for every x in f(x) replace it with g (x)

That's

\begin{lgathered}f(g(x)) = ({2x - 3})^{2} - 4(2x - 3) \\ = 4x^{2} - 12x + 9 - 8x + 12 \\ = 4 {x}^{2} - 12x - 8x + 9 + 12\end{lgathered}

f(g(x))=(2x−3)

2

−4(2x−3)

=4x

2

−12x+9−8x+12

=4x

2

−12x−8x+9+12

We have

f(g(x)) = {4x}^{2} - 20x + 21f(g(x))=4x

2

−20x+21

Now to find f(g(4)) substitute the value of x that's 4 into f(g(x)) that's replace every x in f(g(x)) by 4

We have

\begin{lgathered}f(g(4)) = 4( {4})^{2} - 20(4) + 21 \\ = 4(16) - 80 + 21 \\ = 64 - 80 + 21 \\ = 85 - 80\end{lgathered}

f(g(4))=4(4)

2

−20(4)+21

=4(16)−80+21

=64−80+21

=85−80

We have the final answer as

f(g(4)) = 5f(g(4))=5

Hope this helps you

Answer:

[tex] {x}^{2} + 7x + \frac{49}{4} = {(x + \frac{7}{2}) }^{2} [/tex]

Explanation:

[tex] {x}^{2} + 7x + a = {(x + b)}^{2} [/tex]

[tex] {x}^{2} + 7x + a = {x}^{2} + 2bx + {b}^{2} [/tex]

compare the x co-efficient

[tex] 7 = 2b[/tex]

[tex] b = \frac{7}{2} [/tex]

compare the constants

[tex]a = {b}^{2} [/tex]

[tex]a = {( \frac{7}{2}) }^{2} [/tex]

[tex]a = \frac{49}{4} [/tex]

Answer:

Step-by-step explanation:

3. Formula of a Cylinder + Formula of a Cone = Total

V=πr^2h + V=πr^2h

/3 = total

V = 3.14 * 36 * 10 + V = 3.14 * 36 * 10/3

V = 1,130.4 + V = 376.8 = Total

4. Formula of Cone + Formula of Cone = Total

V=πr^2h

/3 + V=πr^2h

/3 = Total

V = 3.14 * 36 * 8/3 + V = 3.14 * 100 * 8 = Total

V = 301.44 + 2,512 = Total

5. Formula of a cylinder + formula of a sphere = Total

V=πr^2h + V=4

/3πr^3 = Total

V = 3.14 * 4 * 5 + V = 4/3 * 3.14 * 8

V = 62.8 + V = 33.493 = Total

DEFINITELY hope this helped,

Kavitha

Answer:

w = ((u-5)/-4) + 1

Step-by-step explanation:

To make w an independent variable, it must be by itself, so we have

u - 5 = -4(w-1)

We divide both sides by -4

(u-5)/-4 = -4(w-1)/-4

(u-5)/-4 = w-1

Now we add 1 to both sides,

(u-5)/-4+1 = w-1+1

((u-5)/-4) + 1 = w

w = ((u-5)/-4) + 1

Answer:

u = -4w + 9.

Step-by-step explanation:

If w is the independent variable, it will be the variable you are changing.

u - 5 = -4(w - 1)

u - 5 = -4w + 4

u = -4w + 9.

Hope this helps!

Answer:

3 x^2 - x + -1

Step-by-step explanation:

Simplify the following:

-(4 x - 2 x^2 - 3) + x^2 + 3 x - 4

Factor -1 out of -2 x^2 + 4 x - 3:

--(2 x^2 - 4 x + 3) + x^2 + 3 x - 4

(-1)^2 = 1:

2 x^2 - 4 x + 3 + x^2 + 3 x - 4

Grouping like terms, 2 x^2 + x^2 + 3 x - 4 x - 4 + 3 = (x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3):

(x^2 + 2 x^2) + (3 x - 4 x) + (-4 + 3)

x^2 + 2 x^2 = 3 x^2:

3 x^2 + (3 x - 4 x) + (-4 + 3)

3 x - 4 x = -x:

3 x^2 + -x + (-4 + 3)

3 - 4 = -1:

Answer: 3 x^2 - x + -1

Answer:

v = 23

Step-by-step explanation:

Formatting the question gives;

a = mg - kv² / m

Make v subject of the formula as follows;

(i) Multiply both sides by m

ma = m²g - kv²

(ii) Collect like terms

kv² = m²g - ma

(iii) Divide through by k

v² = (m²g - ma) / k

(iv) Take the square root of both sides

v = √ [(m²g - ma) / k]            --------------(ii)

From the question:

a = 2.8

m = 12

g = 9.8

k = 8/3

Substitute these values into equation (i) as follows;

v = √ [(12²(9.8) - 12(2.8)) / (8/3)]

v = √ [(1411.2 - 33.6) / (8/3)]

v = √ [1377.6 / (8/3)]

v = √ [1377.6 x (3/8)]

v = √ [1377.6 x 3 / 8)]

v = √ [516.6]

v = 22.73

v = 23 [to the nearest whole number]

Therefore v = 23 to the nearest whole number    

Answer:

[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]

Step-by-step explanation:

Solve

[tex]\log_2(2 \sin x) + \log_2(\cos x) =1[/tex]

in interval [tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]

Remember that logarithms follow:

[tex]f(x\cdot y)=f(x)+ f(y)[/tex]

Therefore

[tex]\log_2(2 \sin x) + \log_2(\cos x) =-1 \implies \log_2(2 \sin x \cdot \cos x) =-1[/tex]

We got a double angle of sine:

[tex]\sin(2x)= 2 \sin x \cos x[/tex]

[tex]\log_2( \sin 2x ) =-1[/tex]

[tex]2^{-1}=\sin 2x[/tex]

[tex]$\frac{1}{2} =\sin 2x$[/tex]

The solutions for it are:

[tex]$2x=\frac{\pi }{6}+2\pi n \text{ and }2x=\frac{5\pi }{6}+2\pi n, \text{ as } n\in \mathbb{Z}$[/tex]

As

[tex]$x=\frac{\pi }{12}+\pi n \text{ and }x=\frac{5\pi }{12}+\pi n, \text{ as } n\in \mathbb{Z}$[/tex]

But we have the interval

[tex]$\left(2\pi, \frac{5\pi}{2} \right)$[/tex]

Therefore, the answer is

[tex]$x=\frac{25\pi }{12} \text{ and }x=\frac{29\pi }{12}[/tex]

Answer:

4

Step-by-step explanation:

An equilateral triangle has 3 equal sides.

So

4(x-1) = x +8

4x-4=x+8

3x=12

x=4

Same result obtained when comparing the other pairs of equations.

Answer:

Step-by-step explanation:

Hello, do you agree that for any real number a (different from 0)

[tex]\dfrac{a}{a}=1[/tex]

?

5/5 = 1 for instance.

So, when you have the same common factor at the numerator and at the denominator you can eliminate it. For instance.

[tex]\dfrac{10}{4}=\dfrac{5*2}{2*2}=\dfrac{5}{2}\cdot \dfrac{2}{2}=\dfrac{5}{2}[/tex]

You just need to be careful with 0, as dividing by 0 is not allowed.

Hope this helps

Thank you.

Answer:

A, D, E, F and G

Step-by-step explanation:

It is asking for the elements of the set A which are integers

Answer:

1

Step-by-step explanation:

Hi!

First we need to translate 2 units down. That means we need to subtract 2 from the y value. So now we have (-1,1).

For a 270 degree counterclockwise rotation the rule is to go from (x,y) to (y,-x)

So now we have (1,1). Since they're only asking for the x value, the answer is 1.

Answer:

[1, 1]

Step-by-step explanation:

Translation → [-1, 3] moves down to [-1, 1]

Now, a 90°-clockwise rotation is the exact same as a 270°-counterclockwise rotation, and according to the 270°-counterclockwise rotation [90°-clockwise rotation] rule, you take the y-coordinate, bring it over to your new x-coordinate, and take the OPPOSITE of the x-coordinate and set it as your new y-coordinate:

Extended Rotation Rules

270°-clockwise rotation [90°-counterclockwise rotation] >> (x, y) → (-y, x)

270°-counterclockwise rotation [90°-clockwise rotation] >> (x, y) → (y, -x)

180°-rotation >> (x, y) → (-x, -y)

Then, you perform your rotation:

270°-counterclockwise rotation [90°-clockwise rotation] → [-1, 1] moves to [1, 1]

( not my answer cr BasketballEinstein on brainly, i just saw that the same question like this one was already answered FULLY somewhere else )

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{294}}}}}[/tex]

Step-by-step explanation:

PEMDAS is a acronym which helps you to remember the order of operations.

PEMDAS stands for :

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

Let's solve

[tex] \sf{15 \times 18 + 12 + 3 + 9}[/tex]

Multiply the numbers : 15 × 18 = 270

⇒[tex] \sf{270 + 12 + 3 + 9}[/tex]

Add the numbers : 270 + 12 + 3 + 9

⇒[tex] \sf{294}[/tex]

Hope I helped!

Best regards!!

Answer:

This would equal 294

Step-by-step explanation:

i added them up