Suppose the movie theater you work at sells popcorn I'm three different sizes. A small cost $2, a medium cost $5, and a large cost $10. On your shift, you sold 250 containers of popcorn and brought in $1726. You sold twice as many large containers as small ones. a. How many of each popcorn size did you sell? B. How much money did you bring in from selling small size containers?

Answer: x=2

Step-by-step explanation:Step 1: Simplify both sides of the equation.

3−(3x−4)=2x+3(3x−7)

3+−1(3x−4)=2x+3(3x−7)(Distribute the Negative Sign)

3+−1(3x)+(−1)(−4)=2x+3(3x−7)

3+−3x+4=2x+3(3x−7)

3+−3x+4=2x+(3)(3x)+(3)(−7)(Distribute)

3+−3x+4=2x+9x+−21

(−3x)+(3+4)=(2x+9x)+(−21)(Combine Like Terms)

−3x+7=11x+−21

−3x+7=11x−21

Step 2: Subtract 11x from both sides.

−3x+7−11x=11x−21−11x

−14x+7=−21

Step 3: Subtract 7 from both sides.

−14x+7−7=−21−7

−14x=−28

Step 4: Divide both sides by -14.

−14x

−14

=

−28

−14

x=2

Answer:

Step-by-step explanation:

A=230

230-50=180

He will have to save 180

He can save 180 in :

180:30=6 mounths

Answer:

y=30x+50

Step-by-step explanation:

he has a base number of 50 dollars starting out (b) and he will gain 30$ once a month (x)

Answer:

[tex](19,6.4)[/tex]

Step-by-step explanation:

[tex](x^2-x^1)[/tex],[tex](y^2-y^1)[/tex]

so it would look like

[tex](2014-1995)[/tex],[tex](11.8-5.4)[/tex]

then

[tex](19)[/tex],[tex](6.4)[/tex]

or

[tex](19,6.4)[/tex]

Answer:

i cant see the picture

Step-by-step explanation:

sowey

Answer:

(0,-2)

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

True

No, This is not the correct way to solve the product of 0.297 and 7.1.

To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

Given that;

To solve the product for 0.297 times 7.1.

So, The product for 0.297 times 7.1 is,

⇒ 0.297 × 7.1 = 2.1087

But here the product for 0.297 times 7.1 is 21.087.

So, This is not the correct way.

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Step-by-step explanation:

20) <

21) <

22)-20,√26,√35,13.5

23)-5.25,3/2,√6,5

24)4³=64

5³=125

perfect squares between them:

8²=64

9²=81

10²=100

11²= 121

Answer:

5

Step-by-step explanation:

8 times 6 is 48. 5 boxes times 10 in each one is 50 cookies.

Number of boxes Ricky needs to get to a party is equals to 5 boxes.

" A word problem is a mathematical problem in which we represents the real life examples with the help of mathematical operation."

According to the question,

Number of friends invited in a party = 8

Number of cookies given to each friend = 6

Total number of cookies required for 8 friends = 8 × 6

                                                                             = 48 cookies

Number of cookies in each box = 10 cookies

Number of boxes for 1 cookie = 1 / 10

Number of boxes for 48 cookies = (1 / 10) × 48

                                                      =  4.8

                                                      = 5 boxes (Number of boxes cannot be    

                                                                             in decimals)

Hence, number of boxes Ricky needs to get to a party is equals to 5 boxes.

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Answer:

3:5 mm

Step-by-step explanation:

2 cm = 20 mm. the answer will be 12:20 simplified will be 6:10 that simplified will be 3:5. so yeah

Answer:

a=−(1+1)=−2  

b=(1+1)=2

Step-by-step explanation:

Answer:

width- 22ft : length-51 ft

Step-by-step explanation:

if you add 22+22 its 44 +7 it will give you 51.

that is twice the width+ the 7 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

The sum of all the sides of the rectangle will be known as the perimeter of the rectangle. Let L be the length and W be the width of the rectangle.

Then the perimeter of the rectangle will be

Perimeter of the rectangle = 2(L + W) units

The length of a rectangular room is 7 feet longer than twice the width. Then we have

L = 2W + 7

If the room's perimeter is 146 feet. Then the dimension of the rectangle will be

P = 2(L + W)

146 = 2(2W + 7 + W)

73 = 3W + 7

3W = 66

W = 22 feet

Then the length of the rectangle will be

L = 2 x 22 + 7

L = 44 + 7

L = 51 feet

The dimensions of the room will be 22 feet and 51 feet. Then the correct option is A.

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Answer:

y=8

Step-by-step explanation:

y= 5(2) -2

y= 10-2

y=8

Answer:

y=8

Step-by-step explanation:

i dont have a step by step

Answer:

See below.

Step-by-step explanation:

See image for labels (labels are in blue).

  Statements:                                              Reasons:

1) [tex]T\text{ is the midpoint of } \overline{ZC}[/tex]                            Given

2) [tex]\overline{GT}\perp\overline{ZC}[/tex]                                                  Given

3) [tex]\angle GTZ\text{ and } \angle GTC\text{ are right angles}[/tex]          Def. of Perpendicular Lines

4) [tex]\overline{ZT}\cong\overline{TC}[/tex]                                                 Def. of Midpoint

5) [tex]\angle GTZ\cong\angle GTC[/tex]                                      Right Angles Are Congruent

6) [tex]\overline{TG}\cong\overline{TG}[/tex]                                                 Reflexive Property

7) [tex]\Delta TGZ\cong\Delta TGC[/tex]                                     SAS Congruence

And we're done!

Answer:

Sorry that looks a bit confusing though

Step-by-step explanation:

Answer:

$14.20

Step-by-step explanation;

$6.24=$6.20

$1.95=$2.00

$5.59=$6.00

So now we have done our rounding, We just have to add them together now.

($6.20+$2.00+$6.00=$14.20)

Answer:

Mindy spent around $13

Step-by-step explanation:

I just added up all the whole numbers.

But I noticed that it is ALMOST $2 for a notebook.

So, even though the sum of all the whole numbers is 12, I assumed it would be more than 12.

So Mindy spent around $13

Hope I helped :)

Please consider Brainiest :)

Answer:

the answer is the 1 with the check on it

11.2 seconds given model predicts a 7-foot pendulum that would take to complete one period.

The correct answer is option (D)

"It is statistical model which is used to determine the relationship between variables."

"The least squares method is a mathematical regression analysis used to determine the line of best fit for a set of data."

If log x = b, then x = (10)^b

Given : the least-squares regression line,

log Time = 0.699 + 0.500 log(Length)

We need to find the time when given model predict a 7 foot pendulum would take to complete one period.

Here, Length = 7 ft

Using given model,

⇒ log Time = 0.699 + 0.500 log(7)

⇒ log Time = 0.699 + (0.5 × 0.8451)

⇒log Time = 0.699 + 0.423

⇒ log Time = 1.122

⇒ Time = [tex]10^{1.122}[/tex]

⇒ Time = 13.2 seconds

Therefore, the correct answer is option (D) 13.2 seconds.

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The measure of the PRS angle is : 99°

_________________________________

The length of the x is : 18

So the B is the correct answer.

Answer:

C: 5/11

Step-by-step explanation:

The top line over the numbers usually mean the numbers are recurring (occurring again and again)

So 0.45 with the dash over the 45 means 0.454545454545... (goes forever, hence why we use the dash)

To solve you convert each option to a decimal and find one that has 0.45 recurring.

A: 4/5 =0.8

B: 5/9 = 0.55...

C: 5/11 = 0.45...

D: 4/9 = 0.44...

Hence, our answer is C.

Answer: It means that the numbers the bar is over repeats. Answer is C

Step-by-step explanation:

For example:

Example 1: [tex]0.123 \overline {4}[/tex] → The bar is only over the number 4 so only the number 4 repeats. [tex]0.123 \overline {4} = 0.123444444444444444444444...[/tex] with the number 4 repeating forever.

Example 2: [tex]0.12 \overline {34}[/tex] → This time the bar is over the 3 and the 4, so 34 and 4 repeat.  [tex]0.12 \overline {34} = 0.12343434343434...[/tex]

Example 3: [tex]0.1 \overline {234}[/tex] = 0.1234234234234234234...

Example 4: [tex]0. \overline {1234}[/tex] = 0.123412341234123412341234...\

To solve your problem, it will be easiest to use a calculator and test each answer.

Choice A:  [tex]\frac{4}{5} = .8 \neq . \overline{45}[/tex]

Choice B: [tex]\frac{5}{9} = 0.55555556 \neq 0. \overline{45}[/tex]

Choice C: [tex]\frac{5}{11} = 0.454545454545... = 0. \overline {45}[/tex]

Choice D: [tex]\frac{4}{9} = .44444444444... = 0. \overline {4} \neq 0. \overline {45}[/tex]

The Correct Answer is Choice C

Answer:

its 427 since 366 divided by 6 is 61 and thats the rate multiply it by the hours so its 42

Answer: 427 miles

Step-by-step explanation:

You simply divide 366 by 6,

Then, multiply that number by 7

366/6 = 61

61 * 7 = 427

Answer:

5(4) + 5(8)

Step-by-step explanation:

Distributive property is a(b + c) = ab + ac. The beginning value distributes to the other values inside the parentheses. Hope this helped!

Answer:

85.5 grams of 17% gold alloy is added.

Step-by-step explanation:

A metal worker has 57 grams of an alloy that is 37% gold.

And let x grams of an alloy which is 17% gold.

Let's add them to get 25% of (x+57)grams of alloy.

So, we can set up equation as

57(37%) +x(17%) =(x+57)(25%)

Simplify and solve the equation for x.

21.09+0.17 x=  0.25 x+14.25

Subtract both sides 0.25 x

21.09-0.08 x =14.25

Subtract both sides 19.95

-0.08 x=-6.84

Divide both sides by -0.08

x=85.5 grams

Answer:

It's B

Step-by-step explanation:

hope that helps :)

and go to sleep already <3

Answer:

B

Step-by-step explanation:

Answer:

22.83 I think

Step-by-step explanation:

Answer:

the answer would be 0

Answer:

Kindly check explanation

Step-by-step explanation:

Given the following :

Actual length of rectangular bedroom = 5m

Actual width of rectangular bedroom = 3m

Scale = 1 to 50

Scaled length of bedroom = 5m/50 = 0.1m = 0.1 * 100= 10cm

Scaled width of bedroom = 3m/50 = 0.06m = 0.06 * 100= 6cm

If width of door = 0.8m wide

Scaled width of door : 0.8m/50 = 0.016m = 0.016 * 100 = 1.6cm

Bed measures : 4cm by 3cm on scale drawing ;

Actual bed dimension:

4cm * 50 = 200cm ; 200/ 100 = 2m

3cm * 50 = 150cm ; 150 / 100 = 1.5m

Answer:

No

Step-by-step explanation:

5xyz and 10xy are not like terms because 5xyz has a z and 10xy doesn't. Like terms always have the same variables.

m=-4. Or atleast that’s what I’ve heard.

Answer:

f(x) = x² - 10x + 27

Step-by-step explanation:

Given the x- intercepts of f(x) are x = a and x = b, then the factors are

(x - a) and (x - b) and f(x) is the product of the factors, that is

f(x) = (x - a)(x - b)

Here the x- intercepts are 5 - i[tex]\sqrt{2}[/tex] and 5 + i[tex]\sqrt{2}[/tex] , thus the factors are

(x - (5 - i[tex]\sqrt{2}[/tex] )) and (x - (5 + i[tex]\sqrt{2}[/tex] )) , that is

(x - 5 + i[tex]\sqrt{2}[/tex]) and (x - 5 - i[tex]\sqrt{2}[/tex] , then

f(x) = (x - 5 + i[tex]\sqrt{2}[/tex] )(x - 5 - i[tex]\sqrt{2}[/tex] ) ← expand using FOIL

     = (x - 5)² - 2i² ← i² = - 1

     = x² - 10x + 25 + 2

     = x² - 10x + 27

Answer:

0.6128743466

Step-by-step explanation:

Answer:

0.6128743466

Step-by-step explanation:

[tex]\frac{-21222 }{-34627}[/tex] =0.6128743466

Negative divided by a negative makes the answer positive