Jane works at The Bottling Company. She needs to put 8,500 bottles of water into cases.
So far she has put 2,136 in cases. How many cases can Jane fill with the remaining bottles?
How many bottles will be left? Enter your answers in the boxes.

The Bottling Company
Beverage
Bottles per Case
Juice
12
Soda
20
Water
24
Jane can fill
cases and will have
bottles left.

Answer:

The Base is 150 and the Exponent is 4

Answer:

interest: $60

Payment: $360

Step-by-step explanation:

I = Prt

Interest for four years = 300 * 0.05 * 4 = 60

P = P₁ + I = 300 + 60 = 360

Answer:

Step-by-step explanation:

here you go mate

step 1

−(8 − 12) + 60 + (-4)2  Equation/Question

step 2

−(8 − 12) + 60 + (-4)2  simplify

-(-4)+60+(-4)(2)

4+60+(-4)(2)

64+(-8)

answer

56

The value of the given expression −(8 − 12) + 60 + (−4)² will be 80.

Arithmetic operators are operators in mathematics where basic four operators involve. Addition, multiplication, division, and subtraction.

Addition =  addition of two or more numbers or variable

For example =3 + 4

Subtraction = Minus of any two or more numbers with each other called subtraction.

For example =8 - 9

Division = divide any two numbers or variable called division.

For example 7/3

Multiplication = to multiply any two or more numbers or variables called multiplication.

For example 5 × 4.

Given,

⇒  −(8 − 12) + 60 + (−4)²

⇒ -(-4) + 60 + 16

⇒ 4 + 60 + 16

⇒ 80

Hence "The value of the given expression −(8 − 12) + 60 + (−4)² will be 80".

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Answer:

x = (28 +- root -64) / (8)

Step-by-step explanation:

4x^2 -28x= -53 = 0

x = [-(-28)+- root (-28)^2 - 4 * 4 * 53] / 2 *4

x = (28 +- root 784 - 848) / (8)

x = (28 +- root -64) / (8)

Answer:

2/5

Step-by-step explanation:

since the denominators are the same, the question is basically -4+6, which is 2.  But remember to include the denominator

Answer:

c

Step-by-step explanation:

Answer:

The answer to the question provided is 10.

Answer:

Toilet rolls come in packs of 4 and 9.

The 4-pack is priced at £2.04.

The 9-pack is priced at £4.68.

By calculating the price per roll, determine which pack is better value. Show your working.

Answer:

subtract to eliminate y

Answer:

B

Step-by-step explanation:

add to eliminate y

Answer:

the circumference equation is 2pi r and the circumference for this problem is 3pi so that would mean that the radius is 1.5

with that info, we can find out the area of the circle which is pi r squared.

1.5*1.5=2.25

AREA=2.25pi

The required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

The relative frequency of the data is the ratio of the given frequency to the total frequency in the observation.

From the given data,

Relative frequency = given frequency / total frequency

Where total frequency = 0.04 + 0.4 + 0.12 + 0.24 + 0.2 = 1

Value     Relative frequency       Cumulative frequency

3                 0.04/1 = 0.04                  0.04    

4                 0.4/1 = 0.4                    0.04 + 0.4 = 0.44  

5                    0.12                           0.44 + 0.12 = 0.56

6                   0.24                           0.56 + 0.24 = 0.80  

7                     0.2                            0.80 + 0.2 = 1

Thus the required cumulative relative frequencies are 0.04, 0.44, 0.56, 0.80, and 1 respectively.  

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Answer:

6x^3 - 4x^2 - 8x - 16

Step-by-step explanation:

6x^3 + 8x^2 + 8x - 12x^2 - 16x - 16

combine

6x^3 - 4x^2 - 8x - 16

Answer:

Methane emissions account for 7% of Florida’s

Greenhouse gas emissions .

Methane from Florida’s livestock is being used to generate clean

Electricity .

Step-by-step explanation:

You had it right!  Great job!

Answer:

green house emissions and electricity

Step-by-step explanation:

i just took it

Answer:

She kicked the ball upwards.

Step-by-step explanation:

:)

Answer:

She kicked the ball up. Thanks for 50 points. :)

Step-by-step explanation:

Answer:400

Step-by-step explanation:

The mean of T is the expected weight of a selected cup filled with liquid

The mean of T is 400

The data on the table is given as:

               Mean    Standard Deviation

Liquid      250g              20g

Cup         150g                10g

Represent Liquid with L, and cup with C

To calculate the mean of T, we make use of the following formula for expected value

E(L + C)

Since L and C are independent random variables, then

[tex]E(L + C) = E(L) + E(C)[/tex]

Where E(L) and E(C) are the mean values of liquids and cups.

The equation becomes

[tex]E(L + C) = 250g + 150g[/tex]

[tex]E(L + C) = 400g[/tex]

Hence, the mean of T is 400

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Answer:

[tex]Probability =0.1744[/tex]

Step-by-step explanation:

Given

Total

[tex]American = 11[/tex]

[tex]Canadian = 18[/tex]

Selection

[tex]American = 0[/tex]

[tex]Canadian = 4[/tex]

Required

Determine the probability of selecting a 4 committee member that are Canadian.

First, we calculate total possible selection.

[tex]Total = American + Canadian[/tex]

[tex]Total = 11 + 18[/tex]

[tex]Total = 27[/tex]

Number of ways to select 4 from 27 is:

[tex]^{27}C_4 = \frac{27!}{(27-4)!4!}[/tex]

[tex]^{27}C_4 = \frac{27!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24*23!}{23!4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4!}[/tex]

[tex]^{27}C_4 = \frac{27*26*25*24}{4*3*2*1}[/tex]

[tex]^{27}C_4 = \frac{421200}{24}[/tex]

[tex]^{27}C_4 = 17550[/tex]

Next, we calculate ways of selecting 4 Canadians from 18 is:

[tex]^{18}C_4 = \frac{18!}{(18-4)!4!}[/tex]

[tex]^{18}C_4 = \frac{18!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15*14!}{14!4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4!}[/tex]

[tex]^{18}C_4 = \frac{18*17*16*15}{4*3*2*1}[/tex]

[tex]^{18}C_4 = \frac{73440}{24}[/tex]

[tex]^{18}C_4 = 3060[/tex]

The required probability is:

[tex]Probability =\frac{3060}{17550}[/tex]

[tex]Probability =0.1744[/tex]

Answer:

Answer is explained in the explanation section

Step-by-step explanation:

Solution:

Converse of the pythagorean theorem helps us to check whether a triangle is a right triangle or not. Converse of the pythagorean theorem is simply the opposite of the pythagoren theorem. Pythagorean theorem states that, if triangle is right triangle, then [tex]a^{2} + b^{2} = c^{2}[/tex]. On the other hand, Converse of the Pythagorean theorem states that, if  [tex]a^{2} + b^{2} = c^{2}[/tex], then triangle is a right triangle.

Pythagorean theorem = [tex]c^{2} = a^{2} + b^{2}[/tex]

Converse of the pythagorean theorem = [tex]a^{2} + b^{2} ? c^{2}[/tex]

First of all let's check the first triangle is right triangle or not.

a = 12

b= 16

c= 20

So,

[tex]a^{2} + b^{2} = c^{2}[/tex].

144 + 256 = 400

400 = 400

Yes, 1st triangle is no doubt a right triangle. On the other hand, we are given that 2nd triangle = right triangle as we are given the 90 degree angle already. Here, we know that triangle is a right triangle

hence, [tex]a^{2} + b^{2} = c^{2}[/tex]. will surely be there.

Now, we have find out the side opposite to the 90 degrees angle, which is c.

we also know that, right triangles sides follow the pattern of 3x,4x and 5x

Since, c is the longest side.

Hence, c= 5x

Answer:

A) We know that she make $7 per hour, with this we can make a table:

1hr | $7

2hr | $14

3hr | $21

etc...

B)  If in one week she earns $105 and 1w = 7h (1hr = $7) holds true, that means that we have to divide 105 by 7 which gives us 15hrs

C) If she baby-sat for 24hrs, we just have to multiply that by 7 and we get $168

Hope that helped!

Answer:

Roughly 2857.14

Step-by-step explanation:

Answer:

2857.14285714 feet.

Step-by-step explanation:

If we put your question into an equation, we get:

7/100 * n = 200

We multiply both sides by 100 to get rid of the fraction, and get:

7n = 20000

Then, to find n, we divide both sides by 7.

Therefore,

n = 2857.14285714.

Answer:

I'm 89.73% sure that the answer is 90 degrees

Step-by-step explanation:

because you are on a right angle

Answer:

300

Step-by-step explanation:

Every week you add 50 so 50x6 is 300

Answer:

60 more cubes are needed

Answer: The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Step-by-step explanation:

 Given the data in the question;

The total number of American Association of Individual Investors in stock market are;

409 + 299 + 291 = 999

The proportion of all AAII subscribers who are bullish on the stock market will be:

Market = 409 / 999

= 0.4094

Therefore, The proportion of all AAII subscribers who are bullish on the stock market is 0.4094

Answer: Did, Are Changed , Did not change

Step-by-step explanation:

Given:

1 set requires 4 couples 8 dancers.

Total number of people at a square dance = 250.

To find:

The greatest number of sets possible at the dance.

Solution:

We have,

Total people = 250

1 set = 8 people.

[tex]\text{Number of possible sets}=\dfrac{\text{Total people}}{\text{People required for 1 set}}[/tex]

[tex]\text{Number of possible sets}=\dfrac{250}{8}[/tex]

[tex]\text{Number of possible sets}=31.25[/tex]

Number of possible sets cannot be a decimal or fraction value. So, approx. the value to the preceding integer.

[tex]\text{Number of possible sets}\approx 31[/tex]

Therefore, the number of possible sets at the dance is 31.

Answer:

A is Y equally X

B is X equally 2

E is Y equally -5