Ms Liu has $40 to buy water and popcorn at the movie theater. Popcorn costs $8 per bag and water costs 3$ per bottle. write an algebraic expression that will be used to find the amount of money left when Ms. Liu 3 bags of popcorn and 4 bottles of water.

Answer: A proper subset is a subset that is not identical to the original set—it contains fewer elements. You can see that there are 16 subsets, 15 of which are proper subsets. Listing the sets is fine if you have only a few elements.

Answer: x = 7/2

Step-by-step explanation: u juss simplify 1/2 x 7 to 7/2 so x = 7/2

The value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

"A logarithmic equation is an equation that involves the logarithm of an expression containing a variable."

Given logarithmic equation

[tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x(\frac{1}{7} )=\frac{1}{2}[/tex]

⇒ [tex]log_{10}x=\frac{1}{2}({7} )[/tex]

⇒ [tex]log_{10}x=\frac{7}{2}[/tex]

⇒ [tex]x = 10^{\frac{7}{2} }[/tex]

⇒ [tex]x = 10^{3+\frac{1}{2} }[/tex]

⇒ [tex]x = 10^{3}[/tex] × [tex]10^{\frac{1}{2} }[/tex]

⇒ [tex]x = 1000\sqrt{10}[/tex]

The value of  [tex]x = 1000\sqrt{10}[/tex]

Hence, the value of x in logarithmic equation [tex]log_{10}x(\frac{9}{63} )=\frac{1}{2}[/tex] is [tex]1000\sqrt{10}[/tex].

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Answer:

x < - 3/2  or x > 48/5  (option a in your list of answers)

Step-by-step explanation:

We solve for x in each inequality:

12 x + 7 < -11

subtract 7 from both sides:

12 x < - 11 - 7

12 x < -18

divide both sides by 12 to isolate "x" on the left:

x < - 18 / 12

simplify a common factor 6 in numerator and denominator on the right:

x < - 3 / 2

Now the other inequality:

5 x - 8 > 40

add 8 to both sides:

5 x > 40 + 8

5 x > 48

divide both sides by 5:

x > 48 / 5

So the answer is:

x < - 3/2  or x > 48/5

which coincides with answer a) in your list.

Step-by-step explanation:

5x²

If x = 3

Then,

5(3)²

= 5×9

= 45

Answer: lol have the same question

Step-by-step explanation:

Answer:

[tex]x^2+1[/tex] cannot be factored, thus it's a prime polynomial

Step-by-step explanation:

A prime number or expression cannot be factored in any factor different from 1 and the number or expression itself.

One of the following expressions is prime. The rest of them can be factored.

[tex]x^3-1[/tex] is the difference of two cubes. It can be factored as:

[tex]x^3-1=(x-1)(x^2+x+1)[/tex]

[tex]x^3+1[/tex] is the sum of two cubes. It can be factored as:

[tex]x^3+1=(x+1)(x^2-x+1)[/tex]

[tex]x^2-1[/tex] is the difference of two squares. It can be factored as:

[tex]x^2-1=(x-1)(x+1)[/tex]

[tex]\mathbf{x^2+1}[/tex] cannot be factored, thus it's a prime polynomial

Answer:

140 ft.

Step-by-step explanation:

first find the area of the rectangle

16 x 8 = 128

Area: 128

then find the area of the triangle

Base: 4

Height: 6

Area: 12

Then all u need to do is add

12 + 128 = 140

Answer: 17 / 990

Step-by-step explanation:

To obtain the probability of the question above :

Find the count of number pairs whose difference gives is 15 in the range (1 to 100).

Also find the count of all distinct number pair differences

Number pair which have a difference of 15 = 85

Total distinct number pair differences = 4950

Probability = required outcome / Total possible outcomes

P(difference of 15) = 85/4950 = 17/990

Answer:

D

Step-by-step explanation:

the question says that he has 5 to 2 and if you put it in a fraction you cant reduce it so therefore the answer has to be 5:2

Answer:

D. 5:2

Step-by-step explanation:

He has 5 games so 5: for every 2 school apps so 5:2

Answer:

C. D. E. or 3. 4. 5.

Step-by-step explanation:

Answer:

42

It was on my test I put 42 a day later i checked my test the answer was correct. Sorry that I didn't really have a explanation.

But at least its correct.

Ms. Smith still have 42 ounces of candy in her bag.

To subtract means to take away from a group or a number of things.

Given that Ms. Smith bought a 5 pound bag of candy for her 6th grade classroom. She gave away 2 pounds of candy to her students during the first unit of instructions and ate 6 ounces of candy during planning.

1 pound = 16 ounces

She gave away 2 out of 5 pounds, so she is left with 5 - 2 = 3 pounds

3 pounds = 16*3 ounces = 48 ounces

She ate 6 ounces of candy

Therefore, she now has, 48 - 6 = 42 ounces of candies left with her.

Hence, Ms. Smith still have 42 ounces of candy in her bag.

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Answer: $1.67

Let's make an equation for the problem. To find the price for each sushi roll, divide the price by the number of sushi rolls.

30.06 ÷ 18 = 1.67

Answer:

0.14*14= 1.96

Step-by-step explanation:

Must multiply 0.14 times 14 for the answer.

Answer:

12i + 9

Step-by-step explanation:

Since sqrt of negative numbers cannot exist, they are numbers followed by the letter I.

sqrt -16=4i

sqrt -64=8i

3 and 6 cannot be grouped with them, so you would add these two

3+6=9

8i+4i=12

I believe this would be the answer:

12i + 9.

Answer:

18-32i

Step-by-step explanation:

(3+sqrt(16i)(6-sqrt(64i)

= 18-32i

Answer:

Kindly check explanation

Step-by-step explanation:

Given the data:

Temperature (degrees Celsius) : 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30

Percent heat loss from beak : 35 36 38 28 41 43 55 46 39 54 45 58 60 56 62 67

Using an online regression calculator ; the regression equation obtained is :

ŷ = 2.0927X + 0.6029

X = independent variable

Y = predicted variable

2.0927 = slope

0.6029 = intercept

B.) temperature = 25

ŷ = 2.0927(25) + 0.6029

= 52.9204

C.) the explained variance is the value of the coefficient of determination (R²) which is the square of the correlation Coefficient

0.8785² = 0.7718

D.) the correlation Coefficient r is 0.8785 using the Coefficient of regression calculator

Answer:

(-3,7)

Step-by-step explanation:

Hope it helps

Answer:

3,1

Step-by-step explanation:

Answer:

the 1st 2nd and 5th since if there is even one negative in the fraction it makes the whole fraction negative

Answer:

8.05 cups per loaf

Step-by-step explanation:

divide 64.4 and 8

equation

64.4÷8=8.05

Answer:

C and D

Step-by-step explanation:

The lines are parallel to eachother dont worry about what the lines is in the middle

for the second question, it is the same thing, the lines are both going straight

which means that they are parallel

Answer:

C and D

Step-by-step explanation:

Answer:

hope it is helpful

Step-by-step explanation:

mark as branlist

^ ^

Answer:

could you give a picture of the problem. cause I may be able to help but I cant really understand the question with what you typed

Answer:

D

Step-by-step explanation:

just took this test

Answer: -7.7%

Step-by- A P E X

Answer:

Hi ___

A ratio is created from two numbers it can also be a fraction.

To find a ratio you have to have 2 numbers

You can take these 2 numbers and divide them so they are a unit ratio

For example 3:6 can be reduced to 1:3

Step-by-step explanation:

Hope this helps please give brainliest

Answer:

36 pencils

[tex]Cost = 0.2[/tex]

Step-by-step explanation:

Given

Cost Price = 180

Represent the number of items by x

This implies that the cost of each item is [tex]\frac{x}{180}[/tex]

[tex]Selling\ Price = Cost + Profit[/tex]

[tex]Selling\ Price = \frac{x}{180} + 2[/tex]

Since all but 6 items were sold, the total selling price is:

[tex]Total = (x - 6)(\frac{x}{180} + 2)[/tex]

This amount can be used to buy 30 more items.

So, we have:

[tex](x - 6)(\frac{x}{180} + 2) = x + 30[/tex]

Multiply both sides by 180

[tex]180 * (x - 6)(\frac{x}{180} + 2) =180(x + 30)[/tex]

[tex](x - 6)(x + 360) = 180x + 5400[/tex]

Expand brackets

[tex]x\² + 360x - 6x - 2160 = 180x + 5400[/tex]

[tex]x\² + 354x - 2160 = 180x + 5400[/tex]

Equate to 0

[tex]x\² + 354x - 180x - 2160 - 5400 = 0[/tex]

[tex]x\² + 174x - 7560 = 0[/tex]

Expand

[tex]x\² + 210x - 36x - 7560 = 0[/tex]

[tex]x(x + 210) - 36(x + 210) = 0[/tex]

[tex](x - 36)(x + 210) = 0[/tex]

[tex]x - 36 = 0[/tex] or [tex]x + 210 = 0[/tex]

[tex]x = 36[/tex] or [tex]x = -210[/tex]

Since, number of items can't be negative, we have to discard x = -210.

Hence:

[tex]x = 36[/tex]

We can then conclude that, Mr. Javier purchased 36 pencils

Recall that

[tex]Cost = \frac{x}{180}[/tex]

[tex]Cost = \frac{36}{180}[/tex]

[tex]Cost = 0.2[/tex]

Answer:

The Y-intercept is the Y value when X = 0.

Find the change in X:

-56 to -42 = 14

-42  to -28 = 14

The X value changes by 14.

For every change in X the Y change:

66-58 = 8

58-50 = 8

For X to get from -28 to 0 would be 2 more changes:

-28 +14 = -14

-14 + 14 = 0

2 more changes of Y would be:

50-8 = 42

42-8 = 34

So when X = 0, Y = 34

The Y-intercept would be (0,34)

Step-by-step explanation:

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Explanation:

x = number of people

Without the discount, each person pays $72, so the total cost is 72x dollars if x people go through the gate individually.

Now applying the group discount, those x people pay 72-25 = 47 dollars each. Meaning the total cost is now 47x. Keep in mind that [tex]x \ge 15[/tex] in order for the discount to kick in.

Subtracting the two amounts leads to 72x-47x = 25x. It is not a coincidence that we get a coefficient of 25 here.

Set this equal to 500 and solve for x

25x = 500

x = 500/25

x = 20

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

If x = 20 people attend individually, then they pay 72*x = 72*20 = 1440 dollars.

If 20 people go as one group, they pay 47x = 47*20 = 940 dollars

We have a savings of 1440-940 = 500 dollars. This confirms the answer.

All 20 people must go as one group if they want to save $500.