The diaper service where you work bills customers once a week. Each week, it charges 0.30 each for the first 75 diapers used, and .025 each for any additional diapers. How much should you bill a family that used 100 diapers last week?

Answer:

- 23/13

Step-by-step explanation:

first, we do the FOIL multiplication (First, Outer, Inner, Last)

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)

2x(x-8) + 3(x-8) = 3 + 2(x(x+5) - 5(x+5))

2x² - 16x + 3x - 24 = 3 + 2(x² + 5x - 5x -25)

2x² - 16x + 3x - 24 = 3 + 2(x² - 25)

2x² - 16x + 3x - 24 = 3 + 2x² - 50

2x² - 13x - 24 = 3 + 2x² - 50

after that move all component which have x to the left

2x² - 2x² - 13x = 3 - 50 + 24

-13x = 23

x = - 23/13

Answer:

x^3= 11/-7

Step-by-step explanation:

(2x+3)(x- 8)= 3+2(x- 5)(x + 5)=

2x^2-16x+3x-24= 3+2x-10+x+5

-11x-24= -2+3x

-11x^2 -24 = -2+3x

-11x^2-3x = -2+24

-14x^3 = 22

x^3 = 22/ -14

x^3 = 11/-7

Answer:

Option (B).

Step-by-step explanation:

Option (a). {(1, 2), (3, 4), (4, 5), (6, 7)}

Since in every ordered pair value of x corresponds a distinct value of y.

The given ordered pairs represent one-to-one function.

Option (b). {(0, 3), (1, 5), (3, 9), (1, 13)}

In the ordered pairs (1, 5) and (1, 13) value of x correspond to the two different values of y.

Therefore, its not a function.

Option (c). {(-2, 2), (-3, 3), (-4, -4), (-5, -5)}

For every value of x there is distinct value of y.

Therefore, given set of ordered pairs represent a one to one function.

Option (d). {(1, 2), (2, 2), (3, 5), (4, 8)}

Ordered pairs represent a function.

Option (B), will be the answer.

Answer:

36 feet long

Step-by-step explanation:

3 feet x 12 feet is 36 so it will be 36 feet long!

please mark brainliest and have a nice day :)

Answer:

3/8 of the pitcher of lemonade remains.

Step-by-step explanation:

They tell us that at first they had 7/8 of a pitcher full of lemonade, and they ask us to know what fraction is left if they have taken 1/2 of the pitcher of lemonade for a while, which means that it would be a subtraction between what had at the beginning and what they have taken, would be:

7/8 - 1/2 = (14 - 8) / 8 * 2 = 6/16 = 3/8

Which means that 3/8 of the pitcher of lemonade remains.

Answer:

1215

5×3,15×3,45×3,135×3,405×3=1215

Answer:

B,Friday

Step-by-step explanation:

4 to 9 is 5 hours,the total hours for the week is 32.5 hours

Answer:

11 and a 1/2

Step-by-step explanation:

I'm not sure if this is correct but here is my reasoning....

per every 1 there are two 1/2's so multiply 5x2 to get 10.

next, 1/2 is equivelent to 2/4 so subtract 3/4-2/4 (adding another 1/2 to our previous answer of 10 to get 11) and you have 1/4 left.

lastly, since 1/4 is half of 1/2, add 1/2 to 11 to get the final answer of 11 and a 1/2.

there are 11 and a half 1/2's in 5 and 3/4.

Answer:

80 feet

Step-by-step explanation:

Given that x is the horizontal distance in feet and  f(x) is the vertical distance in feet. The minimum point of a function is its lowest point. For a quadratic equation, at its minimum or  maximum point, the slope of the graph is equal to zero.

For the table of the function given below, it can be seen that the lowest point occurs when x = 80 feet, at this point, the value of f(x) is at its lowest which is 0.

Therefore at the minimum point, it is 80 feet far from the wall .

Answer:

The answer is C!

Step-by-step explanation:

Your welcome

Answer:

591.18

Step-by-step explanation:

Answer:

the answer is ​

x=±3,±√​2

​

​​ ı

Step-by-step explanation:

(x​^2−9)(x​2+2)=0

Answer:

slope = 3

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

= (8-2)(4-2)

= 6/2

= 3

Answer:

If those are 2 points on the line, then the slope is 3.

Step-by-step explanation:

slope is rise over run.  (8-2)/(4-2) = 6/2 = 3

Answer:

The perimeter of the hexagon is equal to 36 units

Step-by-step explanation:

Let

x-------> the length side of the hexagon

L-----> the length of the rectangle

W-----> the width of the rectangle

we know that the perimeter of the hexagon is equal to the perimeter of the rectangle is equal to so

-------> equation A

-------> equation B

-------> equation C

Substitute equation B and equation C in equation A

Solve for L

Find the value of x

Find the perimeter of hexagon

Answer:

36 units

ur welcome sis

Step-by-step explanation:

Since polynomials are used to describe curves of various types, people use them in the real world to graph curves. For example, roller coaster designers may use polynomials to describe the curves in their rides. Combinations of polynomial functions are sometimes used in economics to do cost analyses.

-Shin ( and no need to thank me vote and give brainliest if you want, because i only wanna help! )

Answer:

164 cm.

Step-by-step explanation:

First, I solved for the bottom and top. 10 times 3 is 30. Then I doubled it because it's the same answer for the bottom and top. I got 60.

Next I solved for the sides. 4 times 3 is 12. Then I doubled it because it's the same answer for both sides. I got 24.

Lastly I solved for the front and back. 10 times 4 is 40. Then I doubled it because it's the same answer for both the front and back. I got 80.

After all this, I added everything together. 60 + 24 + 80 = 164.

Sorry, I'm not the best at explaining things.

Answer:

option B -> 23 units

Step-by-step explanation:

To solve this question we need to find the length of each side, and we can do this finding the distance between the pair of points that make a side, using the formula:

[tex]dist = \sqrt{(x_1 - x_2)^{2} + (y_1 - y_2)^{2} }[/tex]

Where the points are [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex].

So, using the points A = (-4, -2), B = (-1, 2), C = (2, 2), D = (5, -1) and E = (2, -4), we have that:

[tex]AB = \sqrt{(-4 - (-1))^{2} + (-2 - 2)^{2} } = 5[/tex]

[tex]BC = \sqrt{(-1 - 2)^{2} + (2 - 2)^{2} } = 3[/tex]

[tex]CD = \sqrt{(2 - 5)^{2} + (2 - (-1))^{2} } = 4.2426[/tex]

[tex]DE = \sqrt{(5 - 2)^{2} + (-1 - (-4))^{2} } = 4.2426[/tex]

[tex]EA = \sqrt{(2 - (-4))^{2} + (-4 - (-2))^{2} } = 6.3246[/tex]

So the perimeter of ABCDE is:

[tex]P(ABCDE) = AB + BC + CD + DE + EA[/tex]

[tex]P(ABCDE) = 5 + 3 + 4.2426 + 4.2426 + 6.3246 = 22.8098[/tex]

Rounding to nearest whole number we have:

[tex]P(ABCDE) = 23[/tex]

So the answer is the option B.

Answer:

9.54 cm

Step-by-step explanation:

In triangle ABD, AD is the hypotenuse (longest side)

We know that according to Pythagoras theorem,

a^2+b^2=c^2

In the figure, c (10cm) and a (5cm) is given. So,

(5)^2 + b^2 = 100

25+b^2 = 100

b^2 = 75

So b is √75 = 8.66

Therefore BD is 8.66 cm

Now even BDC is a triangle

In it, the hypotenuse is missing but we know the value of other sides

so, in Pythagorean theorem,

a=4 (CD)

b=8.66 (BD)

c=x

Therefore,

(4)^2 + (8.66)^2 = x^2

16+74.99= x^2

x^2 = 90.99

x= 9.54 cm

Hope this helps!

Answer:

Step-by-step explanation:

Not always.  If, however, the given function passes the "horizontal line test," then the given function has an inverse which is also a function.  The horizontal line test consists of drawing a horizontal line through the given graph; if the line intersects the graph in only one place, it "passes," and the given function has an inverse function.

Answer:

Divide both sides by 6

or

Multiply 2x-1 by 6

Step-by-step explanation:

18x+30=6(2x-1).

Divide both sides by 6

18x/6+30/6=6/6(2x-1).

3x +5 = 2x-1  or

We could multiply 2x-1 by 6

18x+30 = 6(2x-1)

18x+30 = 12x-6

Answer:

D

Step-by-step explanation:

18x+30=6(2x-1)

My first step would be to distribute the 6 so that the next step you can subtract 30 from both sides.

Answer:

lemonade : ginger ale : pineapple juice : orange juice  

l:g:p:o = 1:3:2:4

-------------

p=400 ml

2=400 ml ⇒ 1= 200 ml, 3= 600 ml, 4= 800 ml

Lemonade mL :  200

Ginger Ale mL :  600

Orange Juice ML : 800

Answer:

17

Step-by-step explanation:

2+7+4+4 = 17

Add all of the sides hence perimeter

calculate using unit squares

Answer:

Option (A). 44.1

Step-by-step explanation:

In the figure attached,

Triangle XYZ is am obtuse triangle having,

m∠XZY = 133°

m(YZ) = 21 units

m(XZ) = 27 units

By Cosine rule,

(XY)² = (XZ)² + (YZ)² - 2(XZ)(YZ)cosθ

Where θ is the angle opposite to side XY.

(XY)² = (27)² + (21)² - 2(27)(21)cos(133)°

        = 1943.38614

XY = √1943.38614

XY = 44.084

     ≈ 44.1 units

Therefore, length of side XY = 44.1 units

Option (A) will be the answer.

Answer:

7+z

Step-by-step explanation:

you can open the parentheses right away because it is addition. so you are left with 5+z+2. you can add both 5 and 2 together, so the final result will be 7+z

Answer:

A= 30 years old

B= 20 years old

Step-by-step explanation:

Let the present age of A be x years old.

Since the sum of the present ages of A and B is 60 years,

present age of B= (60-x) years old

In 5 years

A= x +5

B= 60 -x +5= 65-x

Since the ratio of A:B= 4:3,

A would represent 4 units and B would represent 3 units.

Thus [tex]\frac{3}{4}[/tex]A=B

[tex]\frac{3}{4}[/tex](x+5)= 65 -x

[tex] \frac{3}{4} x + \frac{15}{4} = 65 - x \\ \frac{3}{4} x + x = 65 - \frac{15}{4} \\ \frac{7}{4} x = 61.25 \\ 7x = 61.25 \times 4 \\ 7x = 245 \\ x = 245 \div 7 \\ x = 35[/tex]

Thus, present age of A

= x

= 35 years old

present age of B

= 60 -x

= 60 -35

= 25 years old

5 years ago

A= 35 -5= 30 years old

B= 25 -5= 20 years old

* under the section in 5 years, [tex]\frac{3}{4} A=B[/tex] because both would be equal to 3 units each. Since B is 3 units and A is 4 units, in order to make both value the same, we divide the 4 units of A by 4 then multiply by 3 to get 3 units. Thus, [tex]\frac{3}{4}[/tex] of A is equal to B.

Answer:

1) 275

2)60

Step-by-step explanation:

1) 55 x 5 =275

2) 12 x 5 = 60

Hope it helps!

Answer:

2 vans and 7 busses

Step-by-step explanation:

Let x=# of busses

Let y=# of vans

55x+12y=409

x=y+5

55(y+5)+12y=409

55y+275+12y=409

67y+275=409

134=67y

y=2

There were two vans, and y+5 (7) busses

Answer:

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Step-by-step explanation:

If the length of a minute hand of a clock is 3.5cm, to find the angle it turns through if it  sweeps an area of 48 cm, we will follow the steps below;

area of a sector = Ф/360  ×   πr²

where Ф is the angle,  r is the radius   π is a constant

from the question given, the length of the minute hand is 3.5 cm, this implies that radius r = 3.5

Ф =?   area  of the sector= 48 cm²    π = [tex]\frac{22}{7}[/tex]

we can now go ahead to substitute the values into the formula  and solve Ф

area of a sector = Ф/360  ×   πr²

48   =  Ф/360  ×  [tex]\frac{22}{7}[/tex] × (3.5)²

48 = Ф/360  ×  [tex]\frac{22}{7}[/tex] ×12.25

48 = 269.5Ф / 2520

multiply both-side of the equation by 2520

48×2520 = 269.5Ф

120960 = 269.5Ф

divide both-side of the equation by 269.5

448.8≈Ф

Ф = 448.8°

The angle it turns through if it  sweeps an area of 48 cm²   is   448.8°

Answer:

parabola On a coordinate plane, a parabola opens up. It goes through (negative 5, 6), has a vertex of (0, 0), and goes through (5, 6). On a coordinate plane, a parabola opens up.

Step-by-step explanation:

Answer: C) the third graph

Step-by-step explanation: i got 100% on my quiz, hope this helps!!

Answer:

Inverse Variation

Step-by-step explanation:

y = k/x

Answer:

x=< -1

Step-by-step explanation:

move the constant to the right-hand side and change its sign. 2x<-5+3

Calculate the sum

2x<-2

Divide both sides of the inequality by 2

x <-1

Answer:

5

Step-by-step explanation:

we want to find f(2)

f(x) = 2x+1

Let x=2

f(2)= 2*2+1

     = 4+1

    =5

Answer:

Step-by-step explanation:

To eliminate ambiguity please use parentheses when typing a function like this one.  I'm going to assume that you meant

f(x) = 1 / (x + 3)     -      2

Start with the graph of y = 1/x.  Its vertical asymptote is the line x = 0.  The graph never touches the x-axis.  

Translating the entire graph 3 units to the left will give you the function

h(x) = 1 / (x + 3).

Translating the above graph 2 units down will give you the desired function g(x) = 1 / (x + 3) - 2.

Answer:

Graph B on Edge2022.

Have a great day.