Harry liked to collect old movies. On 4 different days, he bought 2 movies. On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies. He figured out how many he had total, and then he divided that total into 2 groups to put onto his shelves. How many did he put on each shelf? Choose the expression that best matches this situation.

Answers

Answer 1

Answer:

Harry put 5 movies on each shelf.

Step-by-step explanation:

The information provided is:

On 4 different days, he bought 2 movies.On 2 other days, he bought 3 movies each day. After that he sold 2 sets of 2 movies.He divided the remaining into 2 groups to put onto his shelves.

So, first Harry bought 2 movies on four different days.

That is, a total of 8 movies.

Then, he bought 3 movies on two other days.

That is, a total of 6 movies.

So, in total Harry bought 14 movies.

Now, he sold 2 sets of 2 movies.

That is, he sold 4 movies.

He has 14 - 4 = 10 remaining movies with him.

It is provided that he divided remaining movies into 2 groups to put onto his shelves.

So, he put 10/2 = 5 movies on each shelf.

Answer 2

Answer:

[(4 x 2) + (2 x 3) – (2 x 2)] ÷ 2

Step-by-step explanation:

Related Questions

A motorist is pumping gas into a car at a rate of 5/12 of a gallon every 1/24 of a minute. At this rate, how many gallons of gas will he have pumped into his car on 1/2 of a minute?

Answers

Answer:

5 gallons

Step-by-step explanation:

times both the rate of the gas pumping and the time it takes by 12/1

so you could get half a minute.

then you get 60/12 gallons pumped per 1/2 min

then you just simplify it to 5 gallons per half minute

Order of Operations.

Answers

i think it may be 28?

26

Picture included explains the steps.

the definition of theorem?

Answers

Answer:

In mathematics, a theorem is a non-self-evident statement that has been proven to be true, either on the basis of generally accepted statements such as axioms or on the basis of previously established statements such as other theorems. A theorem is hence a logical consequence of the axioms, with a proof of the theorem being a logical argument which establishes its truth through the inference rules of a deductive system. As a result, the proof of a theorem is often interpreted as justification of the truth of the theorem statement. In light of the requirement that theorems be proved, the concept of a theorem is fundamentally deductive, in contrast to the notion of a scientific law, which is experimental.

Step-by-step explanation:

please help asap

solve x^4+5x^2+4=0

Answers

Answer:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

Step-by-step explanation:

So we have the equation:

[tex]x^4+5x^2+4=0[/tex]

Let's let u be equal to x². So:

[tex]u^2+5u+4=0[/tex]

Factor:

[tex](u+1)(u+4)=0[/tex]

Zero Product Property:

[tex]u+1=0\text{ or } u+4=0[/tex]

Subtract:

[tex]u=-1\text{ or }u=-4[/tex]

Replace:

[tex]x^2=-1\text{ or }x^2=-4[/tex]

Take square root:

[tex]x=\pm\sqrt{-1}\text{ or }x=\pm\sqrt{-4[/tex]

Simplify:

[tex]x=\pm i\text{ or }x=\pm2i[/tex]

1
2
3
4
Resistance to British rule in southern Africa was led by the
Ethiopians
Egyptians.
Liberians.
Zulus.
O
o
What is it

Answers

Answer:

Zulus.

Explanation:

The Zulus are a group of ethnic people from the Bantu tribe in Southern Africa. They also constitute the largest ethnic group in South Africa and were a separate kingdom before the attack by the Britishers in 1879.

Therefore, it is only reasonable to say that the resistance to the British rule in Southern Africa was led by the Zulus as it was their land. The Ethiopians, Egyptians, and Liberians were African nations but not a part of the Southern African area. Ethiopia is in the East, Liberia in the West, and the Egyptians in the North part of Africa.

-3(-4b - 7n) use n = 8 and b = 2

Answers

The answer for your problem is 192

The tables show information about the scale ratios of two different maps. 2 tables. The first table is a 2-column table with 2 rows titled Map of the United States. Column 1 is labeled Centimeters with entries 3, 12. Column 2 is labeled Miles with entries 50, 200. The second table is a 2-column table with 2 rows titled Map of Africa. Column 1 is labeled Centimeters with entries 2, 15. Column 2 is labeled miles with entries 40, 300. The ratio of centimeters to miles on the map of the United States is . The ratio of centimeters to miles on the map of Africa is . The ratio of centimeters to miles on the map of the United States is the ratio of centimeters to miles on the map of Africa.

Answers

The answers are in order 3/50,1/20, greater than.

Answer:

1.b 2.a 3.b

Step-by-step explanation:

stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies how many tablespoons of vanilla are needed per dozen cookies

Answers

Answer:

4 / 21 spoonful of vanilla

Step-by-step explanation:

3 1/2 dozens = 42 cookies

Let x = spoonful of vanilla for 1 dozen of cookies

2/3 : 42 cookies

x : 12 cookies

2/3 ÷ 42 = x ÷ 12

2/3 × 1/42 = x / 12

2 / 126 = x / 12

Cross product

2*12 = 126*x

24 = 126x

Divide both sides by 126

x = 24 / 126

= 4 / 21

x = 4 / 21 spoonful of vanilla

Per dozen of cookies requires 4/21 spoonful of vanilla

Check:

4/21 per dozen × 3 1/2 dozens

4/21 × 7/2

28 / 42

2/3 spoonful for 3 1/2 dozens

The total amount of dozen cookies = [tex]3\dfrac{1}{2}[/tex]

Stephanie requires [tex]\dfrac{2}{3} \ tablespoons[/tex] to make [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]

Let assume that:

(x) represents the amount of the tablespoons Stephaine needs to prepare 1 dozen cookies:

Then; we can equate both equations together as follows:

[tex]\dfrac{2}{3} \ tablespoons[/tex] = [tex]\mathsf{3\dfrac{1}{2}\ dozen \ cookies}[/tex]

x tablespoon = 1 dozen cookies

By cross multiply and making (x) the subject of the formula, we have:

[tex]\mathbf{x \times 3\dfrac{1}{2} dozen \ cookies = \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}{3\dfrac{1}{2} dozen \ cookies}}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{3\dfrac{1}{2} }}[/tex]

[tex]\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{\dfrac{7}{2} }}[/tex]

[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \div {\dfrac{7}{2} }[/tex]

[tex]\mathbf{x = \dfrac{2}{3} \ tablespoons} \times {\dfrac{2}{7} }[/tex]

[tex]\mathbf{x = \dfrac{4}{21} \ tablespoons}}[/tex]

Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is: [tex]\mathbf{ = \dfrac{4}{21} \ tablespoons}}[/tex]

Learn more about solving fractions here:

https://brainly.com/question/6201432?referrer=searchResults

You are making a banner in the shape of an isosceles triangle. The banner will have ribbon on the edge. You have 15 yards of ribbon. You want the legs of the banner to each be 5 feet shorter than twice the base. Remember that isosceles triangles have two legs of equal length. What is the length of the base and each leg?

Answers

Answer:

The length and base are 10/3 and 25/3 respectively

Step-by-step explanation:

Given:

Represent the sides with S and the base with B

Shape: Isosceles Triangle

[tex]S= B- 5[/tex]

[tex]Perimeter , P= 15[/tex]

Required

Determine the base and legs of the triangle;

The perimeter (P) of a triangle is calculated as thus;

[tex]P = S+ S + B[/tex]

[tex]P = 2S + B[/tex]

Substitute B- 5 for S

[tex]P = 2(B - 5) + B[/tex]

[tex]P = 2B - 10 +B[/tex]

Substitute 15 for P

[tex]15 = 2B - 10 + B[/tex]

Collect Like terms

[tex]2B + B = 15 + 10[/tex]

[tex]3B = 25[/tex]

Divide through by 3

[tex]B = \frac{25}{3}[/tex]

Recall that [tex]S= B- 5[/tex]

[tex]S = \frac{25}{3} - 5[/tex]

Take LCM

[tex]S = \frac{25 - 15}{3}[/tex]

[tex]S= \frac{10}{3}[/tex]

Hence, the length and base are 10/3 and 25/3 respectively

4 + 2x2(3x-5)
number of terms

Answers

3, assuming 2x2 is 2x squared, u will get
4 + 6x3 - 10x2

So 3 terms

Please help me one this question

Answers

Answer:

the volume is 7 because there is 7 blocks

7! Hope this helps you

Exercises 5-8 refer to a bag filled with 3 yellow balls, 4 green balls, 2 blue balls, and 1 orange ball.

S.What is the probability of picking a red ball out of the bag?

6. What is the probability of picking a blue or yellow ball?

7. What is the probability of picking an orange ball?

8.What is the probability of picking a green ball?

9. What is the probability of picking a green or orange ball?

Answers

Answer:

s. 0/10

6. 5/0

7. 1/10

8. 4/10

9. 5/10

An online music club sells compact discs for $13.95 each plus a single $1.95 shipping charge. If Maria's total bill was $85.65, how many compact discs did Maria purchase? Hint: write an equation for the situation, then solve it. Please put only the number of CD's purchased in the space provided.

Answers

Answer:

6 CD's

Step-by-step explanation:

$85.65 - $1.9 = 5 $84.15

$84.15 ÷ $13.95 = 6

what is the opposite of -1,679?

Answers

Answer:

1679 ?

Step-by-step explanation:

Do you have more information?

SCENARIO: ROAD CONSTRUCTION: Your state highway department hires high school students every summer to help with road construction projects. The hourly rate is $11.75 with the possibility of up to 10 hrs per week in overtime, for which you would be paid time and a half. Of course, the work is totally dependent on good weather, so the number of hrs you would work per week could vary. A road construction worker earns $11.75 per hour with up to 10 hours overtime. Write an equation, create a table, and create a graph for a road construction worker's weekly earnings with NO overtime, f(x), where x represents the total number of hrs the road construction worker would work. Is it Proportional or Non-proportional? Using the equation, table or graph, how much will a road construction worker earn for a typical 40 hr week

Answers

Answer:

Step-by-step explanation:

LET

x be the number of regular work hours

overtime paid time and a half :(11.75+1/2(11.75))= 17.625 dollars

max time =10 hours

max overtime paid = 10*17.625=170.65 dollars per week

f(x) or y =11.75x

the graph is proportional because it passes through the origin( no work hours, no earning)

with no overtime the workers if the workers work 40 hours then :

y=11.75*40=470 dollars

Someone please help me

Answers

A.) 6 hundreds + 4 tens + 8 ones
B.) 6x^2+4x+8

Find the next three terms in the pattern 4, 2,0,-2,-4, ... and complete the description of the pattern.
(select)
to get to the next term. The next three terms are

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ First you have to determine the rule:

✧ The rule is -2

○ 4 - 2 = 2

○ 2 - 2 = 0

○ 0 - 2 = -2

○ -2 - 2 = -4

○ And the rule would go on and on...

✦ And now that you know the rule, you have to determine the next terms:

✧ -6

✧ -8

✧ -10

~Hope this helps Mate. If you need anything feel free to message me.

On monday jan made withdrawals of 25 45 75 from her savings account. On the same day her twin sister julie made withdrawals of 35 55 and 65 dollars from her savings account. Write a sum of negative integers to show jans withdrawals on monday. Find the total amount jan withdrawal.

Answers

Answer:

(-25) + (-45) + (-75)

-145

Step-by-step explanation:

Given that :

jan made withdrawals of 25 45 75 from her savings account

Sum of negative integers to show Jan's withdrawals :

Expression to showing sun of negative integers to represent Jan's withdrawals :

(-25) + (-45) + (-75)

The result of the sum will give the total amount of Jan's withdrawal.

(-25) + (-45) + (-75) = - 145

Hence, total amount Jan withdrew is - 145

It takes Mr. Martin 12 minutes to drive his bus route without stopping to pick up any passengers. For each passenger stop, he estimates that 30 seconds is added to his travel time. On Tuesday, Mr. Martin spends 14 minutes driving his route.

Answers

The equal it some help it by ethan and martin in 17 kilometer car

Use the graph below to evaluate, f(1): A f(1)=4 B f(1)=3.5 C f(1)=2 D f(1)=3

Answers

F(1) would be the y value of where the line is at x =1

At x = 1, the line is at y =3

The answer is D. F(1) = 3

How many inches is 2 1/2 miles

Answers

Answer:

2.5 mile inch 158400

Step-by-step explanation:

It's on google

158400

You can just ask google

Which property was used to write the equation in step 2? Step 1: 5 (x minus 7) = 55. Step 2: 5 x minus 35 = 55. Step 3: 5 x = 90. Step 4: x = 18. distributive property addition property of equality subtraction property of equality division property of equality

Answers

Answer:

Distributive property

Step-by-step explanation:

Answer:

Distributive property

Step-by-step explanation:

I got it rigth on edge

hope this helps!

Which is the function represented by the table?

Answers

The answer is A, you would plug in 3 for fx so therefore the answer would be A. Then to make sure plug in the other functions.:)

Answer:

f(x)= -2x + 1

Step-by-step explanation:

The function we will find is to be written in slope-intercept form, which is y=mx+b.

One way to find the answer would be by graphing the function, wich you can do on an online calculator or a sheet of paper.

Another way to get to our answer without even having to graph is by finding the y-intercept, or the b, of the function given in the table.

We can do this by looking at the 0 value of the table. The table tells us that the y-intercept is 1.

So, we have to look at our options and see which one has +1 for the y-intercept.

The option f(x)=-2x+1 is the answer

How to check your work: input the given x values into the chosen function, in this case f(x)= -2x + 1

So for example, you could check that this answer is the function by doing

f(-1) = -2(-1) + 1f(-1) = 2 + 1 f(-1) = 3

Make sure to do this to all values.

Hope this helps!

Write a polynomial that represents the area of the shaded region

Answers

Answer: x^2-3x+36

=========================================

Explanation:

The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution

If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.

The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)

To get the shaded area, we subtract the two rectangle areas found above

shaded area = (larger area) - (smaller area)

shaded area = (x^2+2x+1) - (5x - 35)

shaded area = x^2+2x+1 - 5x + 35

shaded area = x^2-3x+36

An airport offers two shuttles that run different schedules. If both leave the airport at 4:00 pm, at what time will they next leave the airport together

Answers

Answer:

4:18 pm

Step-by-step explanation:

An airport offers two shuttles that run on different schedules.If both shuttles leave the airport at 4:00 p.m.,at what time will they next leave the airport together.

Shuttle A leaves every 6 minutes

Shuttle B leaves every 9 minutes

Shuttle A: 4:00 pm

Leaves every 6 minutes

Next 4:06 pm

Next: 4:12 pm

Nex: 4:18 pm

Next: 4:24 pm

Shuttle B: 4:00 pm

Leaves every 9 minutes

Next: 4:09 pm

Next: 4:18 pm

Next: 4:27 pm

Next: 4:36 pm

The next time both shuttles will leave the airport together is 4:18 pm

How do I fill this out? Im not sure how to?

Answers

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0