Vlad tried to solve an equation step by step.
\qquad\begin{aligned} -8p+14&=42\\\\ \\ -8p&=28&\green{\text{Step } 1}\\\\ \\ p&=-3.5&\blue{\text{Step } 2}\\\\ \end{aligned}
−8p+14
−8p
p
​

=42
=28
=−3.5
​

Step 1
Step 2
​

Answer:  150+475= Price before sale.

Step-by-step explanation:

Answer: D

Step-by-step explanation: Firstly, all the other answers make no sense, but you know it must be D because since it is a rectangular prism, the length from corner to corner on both sides is the same, so the lines are exactly on top of each other and the same size.

Answer:

15 shirts.

Step-by-step explanation:

A 20% discount means you still pay 80% of the price.

x represents the number of shirts that can be bought.

(20 x (1-0.2) )x = 240 or (20 x .8)x = 240

16 x = 240

x = 240/16 = 15

Given a discount of 20% on shirts originally priced $20, each shirt now costs $16. With a budget of $240, a shopper can buy 15 shirts at the sale price.

The subject of this question is mathematics and it's of a middle school grade level. The question is about calculating the number of shirts that could be bought during a sale, given a certain budget for shopping. If the regular price of the shirts is $20 and they are now being sold at a discount of 20%, this means that each shirt now costs 80% of the original price, which is $16 ($20*0.8). If a shopper has $240 to spend, to find out how many shirts they can buy, you'd divide the total amount of money they have ($240) by the sale price of each shirt ($16). So, the shopper could buy 15 shirts (because $240 divided by $16 equals 15).

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Answer:

A, C, and E but I could be wrong.

Step-by-step explanation:

A because 50 - 17 = 33 so -33 will be your answer for that one.

C because the answer of 50 - 17 = 33.

E because 17 + 23 = -40 so the difference between the pelican and the trout is -40 feet altogether.

Answer:

21/22 or 0.955 (3 sf)

43/66 or 0.652 (3 sf)

Step-by-step explanation:

P(atleast 1 Democrat)

= 1 - P(no Democrat)

= 1 - (6C4/11C4)

= 1 - 1/22 = 21/22 or 0.955 (3 sf)

P(atleast 2 Democrats)

= 1 - P(0 or 1 Democrats)

= 1 - 1/22 - (6C3×5C1)/11C4

= 1 - 1/22 - 10/33

= 43/66 or 0.652 (3 sf)

The probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).

Probability is defined as the possibility of an event being equal to the ratio of the number of favorable outcomes and the total number of outcomes.

To calculate the probability that the new subcommittee will contain at least 1, Democrat

⇒ 1 - P(no Democrat)

⇒ 1 - (⁶C₄/¹¹C₄)

⇒ 1 - 1/22

⇒ 21/22

⇒ 0.955

To calculate the probability that the new subcommittee will contain at least 2, Democrat

⇒ 1 - P(0 or 1 Democrats)

⇒ 1 - 1/22 - (⁶C₃×⁵C₁)/¹¹C₄

⇒ 1 - 1/22 - 10/33

⇒ 43/66

⇒ 0.652.

Thus, the probabilities that the new subcommittee will contain at least 2 Democrats are 0.955 (least 1) and 0.652 (least 2).

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The statement They are not equal because they are not at the same point on each number line is true .

The top number line has 3 equal sections labeled 1/3. The bottom number line has 6 equal sections labeled 1/6.

The question asks which statement is true about the two fractions.

The correct answer is They are not equal because they are not at the same point on each number line.

The fractions are not equal because they represent different parts of the whole.

The top fraction, 1/3, represents one out of three equal parts of the whole.

The bottom fraction, 1/6, represents one out of six equal parts of the whole.

Since the wholes are not the same, the fractions cannot be equal.

The other options are incorrect because:

They are equal because they are about at the same point on each number line:

This is not true. The fractions are not at the same point on the number lines.

They are equal because both number lines are the same distance from 0 to 1: This is not true.

The number lines are not the same distance from 0 to 1.

The top number line is divided into 3 equal sections, while the bottom number line is divided into 6 equal sections.

Final answer:

To find the width of the rectangle, you can set up an equation using the given information and the formula for the area of a rectangle. Solve the equation to find the width of the rectangle, which is 9 units.

Explanation:

To find the width of the rectangle, we need to use the given information. We are told that the length of the rectangle is the width minus 3 units. Let's call the width of the rectangle 'w'.

So, the length of the rectangle is w - 3 units. The area of the rectangle is given as 54 square units. We can set up an equation using the formula for the area of a rectangle: Length x Width = Area.

Substituting the length expression into the equation, we get (w - 3)w = 54. Simplifying the equation gives us w² - 3w - 54 = 0. We can solve this quadratic equation to find the width of the rectangle.

Using factoring or the quadratic formula, we find that the width of the rectangle is 9 units.

The correct option is A. Paying for a drum set in six months and receiving the drum set today.

Purchasing is the organized acquisition of goods and services on behalf of the buying entity. Purchasing activities are needed to ensure that needed items are obtained in a timely manner and at a reasonable cost.

here, we have,

Given that,

From the options provided, we must choose the best one.

Consider the provided information.

When you make a purchase that must be paid for over a period of time but gets delivered today, this is referred to as a delayed purchase.

For example:  

When you could buy a hot tub today and pay for it over 39 weeks.

Now consider the provided option.

The correct option is A)

Therefore, The correct option is A. Paying for a drum set in six months and receiving the drum set today.

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The exact volume of the cylinder is 375π cm³.

Solution:

Given image is a cylinder.

Radius of the cylinder = 5 cm

Height of the cylinder = 15 cm

The value of π = 3.14

Volume of the cylinder = πr²h

                                      =  π × 5² × 15

                                      = π × 25 × 15

                                      = π × 375

Volume of the cylinder = 375 π cm³

The exact volume of the cylinder is 375π cm³.

Answer:

6

Step-by-step explanation:

3/4 to get the common denominator of 8 would be 6/8. Then, divide by 1/8 to get 6.

48 ⅛-pint tubes can be filled.

To find out how many tubes can be filled:

Convert ¾ pint to eighths: ¾ pint = 6 eighths

Divide the total eighths by the eighths per tube: 6 eighths ÷ ⅛ eighths per tube = 6 ÷ 0.125 = 48 tubes

So, from a ¾-pint bottle of hydrogen peroxide, 48 ⅛-pint tubes can be filled.

Answer: 43.2

Step-by-step explanation:

Answer:

SSS~

Step-by-step explanation:

All three sides between the two triangles are proportional (4/12 = 4/12 = 7/21)

The explanation regarding the each pair of triangles should be similar is explained below:

The following information should be considered:

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Answer:

Step-by-step explanation:

a³-b³=(a-b)(a²+ab+b²)

8y³-27=(2y)³-(3)³=(2y-3)[(2y)²+(2y)(3)+(3)²]

=(2y-3)(4y²+6y+9)

Answer:

radius of the cylinder = 3inches (to the nearest tenth)

Step-by-step explanation:

the height of the cylinder = 6inches

volume of water in the cylinder = 60inces³

radius of the cylinder =?

π = 3.14

recall that ,

the fomular for finding the volume of a cylinder  = πr²h

the volume of a cylinder  = πr²h

the volume of a cylinder  = 3.14 × r² × 6

60 = 18.84r

divide both sides by 18.84

60/18.84 = 18.84r/18.84

= 3.184

radius of the cylinder = 3inches (to the nearest tenth)

Rewrite the equation by completing the square:

[tex](2x + 9)^2 = \frac{53}{4}[/tex]

Solution:

Given that,

[tex]2x^2 - 9x + 7 = 0[/tex]

We have to rewrite by completing the square

Step 1:

The general quadratic equation is given as:

[tex]ax^2 + bx + c = 0[/tex]

Compare with given, we get,

a = 2

b = -9

c = 7

Step 2:

From given,

[tex]2x^2 - 9x + 7 = 0[/tex]

Subtract 7 from both sides,

[tex]2x^2 - 9x = -7[/tex]

Step 3:

Find square of half of b

[tex](\frac{b}{2})^2 =( \frac{-9}{2})^2[/tex]

Add the term to each side of equation

[tex]2x^2 - 9x + (\frac{-9}{2})^2= -7 + (\frac{-9}{2})^2[/tex]

Simplify

[tex]2x^2 - 9x + (\frac{9}{2})^2= -7 + \frac{81}{4}\\\\2x^2 - 9x + (\frac{9}{2})^2= \frac{53}{4}[/tex]

The left side is of form:

[tex](a-b)^2 = a^2 - 2ab + b^2[/tex]

Therefore,

[tex](2x + 9)^2 = \frac{53}{4}[/tex]

Thus the solution is found

Answer:

[tex](x+ -\frac{9}{4} )^{2} = \frac{25}{16}[/tex]

Khan

Answer: 660 cm²

Step-by-step explanation:

Surface area of a cylinder = 2πr² ± 2πrh = 2πr ( r + h )

π = 22/7

r = 6 cm

h = 11.5 cm

Lateral surface area = 2 x 22/7 x 6 ( 6 + 11.5 )

= 660 cm²

The football game would end at 2:48

11:32 + 3 hours = 2:32

2:32 + 16 minutes = 2:48

Hope this helps :)

Answer:

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=2,\:x=-3[/tex]

Step-by-step explanation:

Considering the equation

                         [tex]\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0[/tex]

solving the equation

[tex]\left(4x\:-\:8\right)\left(3x\:+\:9\right)\:=\:0[/tex]

[tex]\mathrm{Using\:the\:Zero\:Factor\:Principle:\quad \:If}\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)[/tex]

[tex]\mathrm{Solve\:}\:4x-8=0[/tex]

[tex]4x-8=0[/tex]

[tex]4x-8+8=0+8[/tex]

[tex]4x=8[/tex]

[tex]x=2[/tex]

[tex]\mathrm{Solve\:}\:3x+9=0[/tex]

[tex]3x+9=0[/tex]

[tex]3x+9-9=0-9[/tex]

[tex]3x=-9[/tex]

[tex]x=-3[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=2,\:x=-3[/tex]

Answer:

Step-by-step explanation: 4 ratio is bigger than 3

Answer:

18.84

Step-by-step explanation:

The formula for length of the circle is =

[tex]\pi \times d[/tex]

Therefore

[tex]\pi \times d = 3.14 \times 12 \\ = 37.68[/tex]

Therefore the Arc length =37.68/2

=18.84

Answer:

It is a 14-gon.

Step-by-step explanation:

Sum of internal angles of an  n sided polygon =  180(n - 2) degrees.

2160 = 180(n - 2)

2160 = 180n - 360

`180n =  2520

n = 2520 / 180

= 14.

Answer:

12-gon

Step-by-step explanation:

solution

Mean of two smallest number (3+5 =8/2) =4

Mean of all the three (3+5+19 =27) 27/3 = 9

so the mean of two largest number is 19+5 = 24 /2 = 12

Final Answer

The mean of two largest Number is 12

Answer:

     [tex]\large\boxed{\large\boxed{47unit^2}}[/tex]

Explanation:

The complete question is:

A hole the size of a photograph is cut from a red piece of paper to use in a picture frame.

On a coordinate plane, 2 squares are shown. The photograph has points (-3, -2), (- 2, 2), (2, 1), and (1, -3). The red paper has points (- 4, 4), (4, 4), (4, -4), and (-4, -4).

What is the area of the piece of red paper after the hole for the photograph has been cut?

The area of the piece of redpaper after the hole has been cut is equal to the area of the big square less the area of the small rectangle.

1. Area of the big rectangle

Vertices:

The side length is the distance between two consecutive vertices:

The two points (-4,4) and (4,4) has the same y-coordinate, thus the length is just the absolute value of the difference of the x-coordinates:

The area of this square is    [tex](8unit)^2=64unit^2[/tex]

2. Area of the small square

Vertices:

To find the side length use the distance formula for two consecutive points, for instance (2,1) and (-2,2):

      [tex]d=\sqrt{(x_1-x_2)^2+(y_1-y_2)^2}\\ \\d=\sqrt{(2-(-2))^2+(2-1)^2}=\sqrt{4^2+1^2}=\sqrt{17}[/tex]

The area is:

          [tex](\sqrt{17}unit)^2}=17unit^2[/tex]

3. Area of the piece of red paper after the holw for the photograph has been cut:

Find the difference:

         [tex]64unit^2-17unit^2=47unit^2[/tex]

Answer:

47

Step-by-step explanation:

Answer:

The number is 2 . -angie:) .  pls mark me brainliest!

Step-by-step explanation:

Let x be the number.

Equation is

x

−

12

=

6

−

8

x

x

+

8

x

=

6

+

12

9

x

=

18

x

=

2

Answer:

$12,956.51

Step-by-step explanation:

The equation for compounding is [tex]P=A(1+r/n)^{nt}[/tex]

So, [tex]7000(1+.08/1)^{1*8}[/tex]

7000(1.08)^8

So, the answer should be $12,956.51

The total cost of the printer and scanner after the rebates is $117.86, and the actual rebate after expenses is $26.96.

For part a, first, add up the cost of the printer and scanner: $79.80 (printer) + $67.10 (scanner) = $146.90 (total original cost). Then calculate the mail-in rebates: $11 (printer rebate) + $17 (scanner rebate) = $28 (total rebates). However, you incur some costs when mailing these rebates. You need one envelope and one stamp for each rebate so multiplying the price of the envelope and the stamp by 2 gives us 0.15*2 + 0.37*2= $1.04. We subtract the $28 (rebate) and this $1.04 (mail cost) from the original cost ($146.90), giving us a final cost of $146.90 - $28 - $1.04 = $117.86.

For part b, the actual rebate after your expenses is the total value of the rebates ($28) minus the mail-in costs ($1.04), which ends up being $28 - $1.04 = $26.96.

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Answer:

false but Least common multiple (LCM) of 6 and 12 is 12.

Answer: False

Step-by-step explanation:

Step 1: Find the prime factor of 6

Which are 6 = 2 × 3

Step 2: Find the prime factor of 12

Which are 12 = 2 × 2 × 3

Multiply each factor the greater number of times it occurs in steps 1 and 2

LCM = 2 × 2 × 3

LCM = 12

Answer:

9 hrs and 10 mins

Step-by-step explanation:

We can convert this into a proportion. 50/45 = x/495. Cross-multiply to get 45x = 50*495. Divide both sides by 45 to get x = 50*11 = 550 minutes or 9 hrs and 10 mins

Answer: 445.5 minutes

Step-by-step explanation:

Hi, to answer this we have to apply a proportion:

Proportion: square feet / time (minutes)

Tim installs 50 square feet of his floor in 45 minutes: 50/45

For 495 square feet: 495/x

Where x is the time it takes Tim to install 495 square feet of his floor.

50ft/45min = 495ft/x min

Solving for x

x = 495 / (50/45)

x= 445.5 minutes  

Answer:

-189

Step-by-step explanation:

If you continue the pattern by multiplying the term by -3, you will eventually get -189 as the 6th term

Answer:

63945

Step-by-step explanation:

Answer:

Step-by-step explanation:

72.5*24.5*36=

145*49*9=

63945