The graph of a proportional relationship is shown. What is the
amount of savings per
week?
Money
470
376
A) $94/week
B) $47/week
C) $18.80/week
D) $23.50/week

Answer: $22

Step-by-step explanation:

The wall is 23 ft by 8 ft, so if you multiply both sides of the rectangle together, you get the area.

23 * 8 = 184 ft^2

Since the wall requires 2 coats of paint, that means you'll just need to double the area you need to cover (since you're covering it twice).

184 * 2 = 368 ft^2

Now that we know how much square feet of area we need to cover, we can try and figure out how many gallons of paint we need to cover said area.

One gallon of paint covers 320 ft^2, so we can divide the area we need to cover (368) by the area a single gallon can cover (320) to get the amount of gallons we need to cover the wall.

368 / 320 = 1.15 gallons

To cover the wall twice, we need 1.15 gallons of paint. Assuming we can't buy 0.15 of a gallon, we will just need to buy two full gallons. Each gallon is $11, so two gallons each costing $11 is:

2 * 11 = $22

Side note: IF you can buy 0.15 of a gallon, then just multiply 1.15 * 11 = $12.65

Answer:

a) The jumper opens the parachute in 7.5 seconds.

b) The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

Step-by-step explanation:

Note: The equation presented in statement is incorrect. The correct formula for free fall is:

[tex]h(t)=-16\cdot t^{2}+1900[/tex] (1)

Where:

[tex]t[/tex] - Time, measured in seconds.

[tex]h[/tex] - Height above the ground, measured in feet.

a) If we know that [tex]h(t) = 1000\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 1000[/tex]

[tex]16\cdot t^{2} = 900[/tex]

[tex]t = 7.5\,s[/tex]

The jumper opens the parachute in 7.5 seconds.

b) How long is the jumper in free fall if the parachute opens at 950 ​ft?

If we know that [tex]h(t) = 950\,ft[/tex], then the final instant of the free fall stage is:

[tex]-16\cdot t^{2}+1900 = 950[/tex]

[tex]16\cdot t^{2} = 950[/tex]

[tex]t \approx 7.706\,s[/tex]

The jumper opens the parachute in approximately 7.706 seconds.

c) There are two possible choices for the function:

Case a): [tex]Dom\{h(t)\} = [0\,s,7.5\,s][/tex], [tex]Ran\{h(t)\}=[1000\,ft,1900\,ft][/tex]

Case b): [tex]Dom\{h(t)\} = [0\,s,7.706\,s][/tex], [tex]Ran\{h(t)\}=[950\,ft,1900\,ft][/tex]

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5) Go....

[tex]17 = 4x + 1[/tex]

[tex]4x + 1 = 17[/tex]

Subtract sides 1

[tex]4x + 1 - 1 = 17 - 1[/tex]

[tex]4x = 16[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{16}{4} \\ [/tex]

[tex]x = 4[/tex]

_________________________________

6) Go...

[tex]2x - 2 = 16[/tex]

Add sides 2

[tex]2x - 2 + 2 = 16 + 2[/tex]

[tex]2x = 18[/tex]

Divide sides by 2

[tex] \frac{2x}{2} = \frac{18}{2} \\ [/tex]

[tex]x = 9[/tex]

_________________________________

7) Go...

[tex]95 = 7x + 18[/tex]

[tex]7x + 18 = 95[/tex]

Subtract sides 18

[tex]7x + 18 - 18 = 95 - 18[/tex]

[tex]7x = 77[/tex]

Divide sides by 7

[tex] \frac{7x}{7} = \frac{77}{7} \\ [/tex]

[tex]x = 11[/tex]

_________________________________

8) Go...

[tex]78 + 9x - 6 = 180[/tex]

[tex]9x + 72 = 180[/tex]

Subtract sides 72

[tex]9x + 72 - 72 = 180 - 72[/tex]

[tex]9x = 108[/tex]

Divide sides by 9

[tex] \frac{9x}{9} = \frac{108}{9} \\ [/tex]

[tex]x = 12[/tex]

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Answer:

Option B x=2

Step-by-step explanation:

Assuming that the problem is X^3=8 you can find the cubed root of 8 which is 2

Answer:

0.26, 0.62, 2.06, 2.6, 6.2

Answer:

13.5

Step-by-step explanation:

150% × 9 =

(150 ÷ 100) × 9 =

(150 × 9) ÷ 100 =

1,350 ÷ 100 =

13.5

My proof :

If 150% × 9 = 13.5 =>

Divide 13.5 by 9... ... And see if we get as a result: 150%.

Answer:

the price of the pair of shoes are $57.60

Step-by-step explanation:

So you first need to find out what 10% is in $64 so your going to multiply 0.1 (10% in decimal form is 0.1 ) by 64 to get 10% of the original price.

64 * 0.1 = $6.40

so now we are going to subtract $6.40 from $64 for the sale price:

$64.00 - $6.40 = $57.60

so the sale price is $57.60

9514 1404 393

Answer:

  d)  a(b + c) = ab + ac

Step-by-step explanation:

The distributive property explains how multiplication distributes over addition. It can be expressed by the equation ...

  a(b + c) = ab + ac

Answer:

I'm so sorry all i can do is encourage you.

Step-by-step explanation:

I hope you get the right answer and have a nice day!

Answer:

484 students

Step-by-step explanation:

The event coordinator asks you to determine how many students participated in the track-and-field day. The total number of students in seventh and eighth grade combined is 584; 5/8 of them are seventh graders and 3/8 of them are eighth graders. If 4/5 of the seventh graders participated in track-and-field day and 7/8 of the eighth graders participated, about how many total students participated? Describe the process you used to find your answer.

Solution:

The total number of students = 584

Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students

Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students

Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students

Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students

Total students that participated = 292 + 192 = 484 students

Answer:

Answer:

484 students

Step-by-step explanation:

The total number of students = 584

Number of seventh grade students = 5/8 * total number of students = 5/8 * 584 = 365 students

Number of eighth grade students = 3/8 * total number of students = 3/8 * 584 = 219 students

Number of the seventh graders that participated in track-and-field day = 4/5 * 365 = 292 students

Number of the eighth graders that participated in track-and-field day = 7/8 * 219 = 191.625 students ≈ 192 students

Total students that participated = 292 + 192 = 484 studentsStep-by-step explanation:

I know i am in the future

Answer:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Step-by-step explanation:

The principal would like to assemble a committee

of 8 students from the 15-member student council.

How many different committees can be chosen?

1) 120 2) 6,435 3)

Answer:

Step-by-step explanation:

Remark

This problem only wants to know how many ways to select 7 starting from a base of 11.

Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.

That problem is a combination and is written as

(11)/(7)

The formula used is

11! / (7! (11 - 7)! )

11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out

11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330

Answer: C. 5(6) + 0.65y

Step-by-step explanation:

Process of elimination.

65% of y = 0.65y

A has 65y, completely incorrect.

B has 6y, also completely incorrect.

C has 0.65y, correct.

D has 1.65y, also completely incorrect.  

Answer:

y=2x+4

Step-by-step explanation:

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

Answer:

(w - 5)(2w² + 7)

Step-by-step explanation:

Given

2w²(w - 5) + 7(w - 5) ← factor out (w - 5) from each term

= (w - 5)(2w² + 7)

Answer:

what is it asking like what is the step to do that i think i did that like back in 6th grade or something

Answer:

input output

0        -2

1         3

4        18

6        33

10       48

20      98

Step-by-step explanation:

Step-by-step explanation:

25+50x=25+45x

then the answer you get from that you multiply it by 4 sorry if incorrect

Answer:

x2+2=Y

Step-by-step explanation:

Answer:

An equation that represents this path is described below in detail.

Step-by-step explanation:

The equalization that describes the pathway of the swimmer to the shoreline can be described in the slope-intercept pattern, given as.

Where,

Slope (m) = the adverse reciprocal of the incline of the shoreline, considering it is perpendicular to it = ??

y-intercept (b) = ??

Find the incline of the shoreline using, (0, 1) and (4, 4):

.

Considering the incline of the shoreline is ¾. The incline of the pathway of the swimmer would be the adverse reciprocal of ¾.

The adverse reciprocal of ¾ = -⁴/3.

The incline of the swimmer's path = -⁴/3.

Applying the coordinate of the position of the swimmer (6, 1), and the incline of the way, we can find b, the y-intercept of the way.

Substitute x = 6, y = 1 and m = -⁴/3 into y = mx + b, to find b.

Thus:

1 = (-⁴/3)(6) + b

1 = -8 + b

Add 8 to both sides

1 + 8 = b

9 = b

b = 9

Substitute m = -⁴/3 and b = 9 into y = mx + b.

Answer:

150,250

Step-by-step explanation:

Hope this helps!

i think its C

:) :) :) :) :) :) :)

Answer:

k divided by three plus sixteen

Answer:

The method of solving "by substitution" works by solving one of the equations (you choose which one) for one of the variables (you choose which one), and then plugging this back into the other equation, "substituting" for the chosen variable and solving for the other.

Step-by-step explanation:

False:

A rotation is the action of rotating around an axis or center.

A slide means to move along a smooth surface while maintaining continuous contact with it.

Answer:

y=-4x+2

hope this helped

Answer:

They will both have paid the same amount after 4 months

Step-by-step explanation:

Assume that they will pay the same amount after x months

∵ Billy pays $30 for his new phone

∵ He only pays $12.50 each month

→ Find how much he will pay in x month

∴ He will pay → 30 + 12.50x

∵ Annie got her new phone for free

∵ She only pays $20 a month

→ Find how much she will pay in x month

∴ She will pay → 20x

∵ They will pay the same amount

→ Equate their expressions above

∴ 20x = 30 + 12.50x

→ Subtract 12.50x from both sides

∵ 20x - 12.50x = 30 + 12.50x - 12.50x

∴ 7.50x = 30

→ Divide both sides by 7.50

∴ x = 4

∴ They will both have paid the same amount after 4 months

Answer:

y=-3x+12

Step-by-step explanation:

9=-3(1)+b

9=-3+b

9+3=3-3+b

12=b

Answer:

x squared = 8x

Step-by-step explanation:

Move

8

x

to the left side of the equation by subtracting it from both sides.

x

2

−

8

x

=

0

Factor

x

out of

x

2

−

8

x

.

Tap for more steps...

x

(

x

−

8

)

=

0

If any individual factor on the left side of the equation is equal to

0

, the entire expression will be equal to

0

.

x

=

0

x

−

8

=

0

Set the first factor equal to

0

.

x

=

0

Set the next factor equal to

0

and solve.

Tap for more steps...

x

=

8

The final solution is all the values that make

x

(

x

−

8

)

=

0

true.

x

=

0

,

8