The owner of a bookstore recorded the following information from last
week:
12
18
24
30
36
42
Number of
Customers,
С
Amount of
Sales,
S
$80
$110
$140
$170
$200
$230
According to this information, which equation describes the relationship
between the number of customers and the amount of sales?
A. S = 50 + 20
C. s = 6c + 20
B. s = c + 30
D. s = 6c + 8

Solution :

Let :

X = number of overtime hours

S = total weekly salary

S = [tex]$12 \times 40 + 18 \times X$[/tex]

S = 480 + 18X

E(S) = [tex]$480 + 18 \times E(X)$[/tex]

[tex]$E(S) = 480 + 18 \times 15$[/tex]

        = 750

Mean of S = 750

Var (S) = [tex]$18^2 \times Var(X)$[/tex]

Var(S) = [tex]$18^2 \times 4^2$[/tex]

          = 5184

Variance of S = 5184

The standard deviation equals square root of 5184 = 72

Answer:

987.9

Step-by-step explanation:

Answer:

Wheres the PARALLEGRAM? if you give it I can answer :)

Step-by-step explanation:

the answer is 23...........

Answer: 3145728

6 12 24 48 96 192 384 768 1536 3072 6144 12288 24576 49152 98304 196608 393216 786432 1572864 3145728

Answer:

dividing something into equal pieces, exchanging money, comparing prices, understanding time and making calculations during travel

Step-by-step explanation:

Answer:

it is 84 inches all together

Answer:

84 inches

Step-by-step explanation:

have a good day

may i please  get a branlillest

Answer:

3 and 5, 15; 4 and 10, 20

Step-by-step explanation:

The lowest number divided by 3 and 5 is 15. Same for 4 and 10. The lowest number they can both be divided by is 20.

Answer:

7

Step-by-step explanation:

27-17=10

17-10=7

Answer:

Step-by-step explanation:

Answer:I Don't Know

Step-by-step explanation:

Answer:

Corresponding Angles

Step-by-step explanation:

They are both in the same positions but just on different lines meaning they are corresponding :)

The angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

When two lines or rays converge at the same point, the measurement between them is called a "Angle."

As we can see in the figure, the line b and line c are parallel to each other and intersected by a line a.

The angles 1, 2, 3, 4, 5, 6, 7, and 8 formed.

The angles 1 and 4, angle 2 and 3 are vertically opposite angles.

Similarly, 5&8 and 6&7 are vertically opposite angles.

The angle 4 and angle 8 are corresponding angles.

Thus, the angle 4 and angle 8 are corresponding angles because line b and line c are parallel to each other and intersected by a line a option (D) is correct.

Learn more about the angle here:

brainly.com/question/7116550

#SPJ2

Answer:

1. No, not all line segments

2. Yes, quadrilateral

3. Yes, hexagon

4. No, it is not a closed shape.

1. Hexagon, concave

2. Octagon, convex

3. Pentagon, concave

4. Triangle, convex

5. No, not a closed shape

6. Yes

7. No, not all line segments

8. Yes

9. Uploaded in picture

10. Yes, both have exactly four sides

11. Four

12. C. 3

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A

Answer:

1/4+1/4+1/4+1/4+1/4+1/4= 1.5

3/10x2/3= 0.2

2/4x2/3= 0.33333333333  (just put 0.3 with a line on top of the 3)

6 divided by 1/2 = 12/1 or 12

9 divided by 1/3 = 27/1 or 27

2/5 divided by 3/4 = 8/15

1/2 divided by 2/3 = 3/4

Answer:

m=4

Step-by-step explanation:

Answer:

4, subtract 7 from both sides m = 4

Step-by-step explanation:

w = 4

y = 4√2

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you .

Answer:

I worked really hard on this problem, I had to manually edit with my editing tool for 15 minutes lol.

Answer:

Step-by-step explanation:

The average of two numbers?

6+x = 4.5*2 = 9

x = 3

Answer:

Option B is your answer

Step-by-step explanation:

hope it helps

have a great day!!

Answer:

A.) -80X^8 + 40x^7 -5x^6 -3x^2

Its OPTION A

Step-by-step explanation:

Answer:

20 grams

Step-by-step explanation:

I did this, but I'm not sure if I'm 100% correct. Here is my answer though:

m=F/a

m=11.2/520

m=0.02kg

0.02kg=20 grams

Answer:

0.02kg

Step-by-step explanation:

Answer:

Y= -5/3x -1

Step-by-step explanation:

Answer:

190.8

Step-by-step explanation:

Im pretty sure my math is wrong but i hope this helps

Answer:

72 candies

Step-by-step explanation:

she had 6 boxes with 6 bags each so that equals 36 and each bag has 2 candies so 36 times 2 equals 72

hope this helped plz give brainliest

ella tenía 6 cajas con 6 bolsas cada una, por lo que es igual a 36 y cada bolsa tiene 2 caramelos, por lo que 36 por 2 es igual a 72

Espero que esto haya ayudado por favor a dar lo más inteligente

Answer:

50

Step-by-step explanation:

PEMDAS

3(2)+24/2+2(3+7)

Pemdas

3(2)+24/2+2(10)

PeMDas

6+24/2+20

6+12+20

PemdAs

38

Answer:

[tex]\mathbf{ \dfrac{128}{3}}[/tex]

Step-by-step explanation:

Given that:

[tex]y^2 + z^2 = 16; \\ \\ where; \ x = 2y , x =0, z= 0[/tex]

[tex]Replace \ z = 0 \ \text{in the given equation ;} y^2+z^2=16[/tex]

[tex]Then;[/tex]

[tex]y^2 = 16 \\ \\ y = \sqrt{16} \\ \\ y = \pm 4[/tex]

[tex]\text{So; in 1st octant \ limits of y }= 0 \to 4 \ \text{and for x }= 0 \to 2y[/tex]

∴

[tex]\text{Volume of solid: (V) = }\int ^{4}_{y=0} \int ^{2y}_{x=0} \sqrt{16-y^2} \ dxdy \\ \\ = \int^4_{y=0} \sqrt{16 -y^2} \ (x)^{2y} _o \ dy \\ \\ = \int^4_{y=0}\sqrt{16 -y^2} (2y -0) \ dy \\ \\ V = \int^{4}_{y=0} \ 2y \sqrt{16 - y^2} \ dy[/tex]

[tex]Now, let:\\\\ 16 - y^2 = u \\ \\ -2ydy = du \\ \\ 2ydy = -du \\ \\ Hence, when \ y = 0; u = 16 \\ \\ and \\ \\ when \ y = 4 \ then \ u = 0[/tex]

∴

[tex]V = \int ^4 _{y=0} \ 2y \sqrt{16 -y^2 } \ dy \\ \\ = \int ^0_{16} - \sqrt{u}\ du \\ \\ = - \int^0_{16} \ u^{^{\dfrac{1}{2}}} \ du \\ \\ = \Bigg [\dfrac{u^{^{\dfrac{1}{2}+1}}}{\dfrac{1}{2}+1 } \Bigg]^0_{16} \\ \\ =\Bigg[ -\dfrac{u^{\dfrac{3}{2}}}{\dfrac{3}{2}}^0_{16} \Bigg] \\ \\[/tex]

[tex]= - \dfrac{2}{3}\Big( u^{\dfrac{3}{2}}\Big)^0_{16} \\ \\ = - \dfrac{2}{3} \Big(0^{^\dfrac{3}{2}}}- 16^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(0 - (4^2)^{^{\dfrac{3}{2}}}\Big ) \\ \\ = - \dfrac{2}{3} \Big(-(4)^{3}}\Big )[/tex]

[tex]= - \dfrac{2}{3} \Big(64\Big )[/tex]

∴

[tex]\mathbf{V = \dfrac{128}{3}}[/tex]

Answer: 12 x 7 = 72

Step-by-step explanation:

Answer:

Square root of 193

Step-by-step explanation:

7^2+12^2=x^2

Switch sides: x^2=7^2+12^2

After everything is squared: x^2=49+144

x^2=193 OR x=\sqrt{193}

Answer:

trapezoid one is 336 inches  squared

trapezoid two is 9 inches squared

Step-by-step explanation:

The formula for a trapezoid is b1+b2 so the number on the top line = the number on the bottom line, you then multiply your new number by the height which is the number bye the dotted red line.

Hope this helps!

REFER THE ATTACHMENT ABOVE ☝☝☝☝

Answer:

[tex] \frac{176}{50m} = \frac{3.5}{1} [/tex]

RESULT

Use ratio and proportion.

Let x be the time it takes Dionne to fold 210 packing boxes:

[tex] \frac{175}{50} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 175x = 50(210) \\ \\ x = \frac{50(210)}{175} \\ \\ x = \frac{50(210)}{175} \\ \\ x = 60[/tex]

So, it will take Dionne 60 minutes to fold 210 packing boxes.

Let y be the time it takes Elias to fold 210 packing boxes:

[tex] \frac{120}{40} = \frac{210}{x} \\ \\ cross \: multiply \\ \\ \\ 120x = 40(210) \\ \\ x = \frac{40(210)}{120} \\ \\ \\ x = 70[/tex]

So, it will take Elias 70 minutes to fold 210 packing boxes.