Mathematics High School

6. Steve is packing sacks for treats at a party. Every sack is exactly the same. Steve has 42 candy bars and 126 lollipops. a. What is the greatest number of treat sacks Steve can make? b. How many of each kind of treat is in one sack?

Answers

Answer 1

Answer:

Greatest sack = 42

1 candy bar and 3 lollipops

Step-by-step explanation:

Represent Candy bars with C and Lollipops with L

[tex]C = 42[/tex]

[tex]L= 126[/tex]

Solving (a): Greatest number of treat sacks

To solve this, we simply calculate the GCF of C and L

[tex]42 = 2^1 * 3^1 * 7^1[/tex]

[tex]126 = 2^1 * 3^2 * 7^1[/tex]

Hence, the GCF is

[tex]GCF = 2^1 * 3^1 * 7^1[/tex]

[tex]GCF = 42[/tex]

Hence, greatest number of sack is 42

Solving (b): Number of treat in each sack.

To do this, we simply divide the number of C and L by the calculated GCF

For C:

[tex]Treats = \frac{C}{GCF}[/tex]

[tex]Treats = \frac{42}{42}[/tex]

[tex]Treats = 1[/tex]

For L:

[tex]Treats = \frac{L}{GCF}[/tex]

[tex]Treats = \frac{126}{42}[/tex]

[tex]Treats = 3[/tex]

Hence, 1 candy bar and 3 lollipops

Related Questions

SOMEONE PLEASE HELP ME I WILL GIVE BRAINLY

Answers

Answer:

answer is B

Step-by-step explanation:

It’s B because everything on the x side is multiplied by 2 on the y side.

A bag of marbles contains 6 blue marbles 2 yellow marbles, 4 red marbles, and 1 green marble. What is the probability of reaching into the bag and selecting a yellow marble?​

Answers

It is a 2/13 probability

Answer:

The answer would be 2/13

Step-by-step explanation:

More algebra, giving 15 points for this one.

Answers

Answer:

B

Step-by-step explanation:

11x - 6x + 20

combine like terms:

5x + 20

Solve by any method -7x-4y=-4. 14x+10y=24

Answers

Answer: x=−4.895105y

Step-by-step explanation:

−7x−4y=−4.14x+10y

Step 1: Add 4.14x to both sides.

−7x−4y+4.14x=−4.14x+10y+4.14x

−2.86x−4y=10y

Step 2: Add 4y to both sides.

−2.86x−4y+4y=10y+4y

−2.86x=14y

Step 3: Divide both sides by -2.86.

−2.86x

−2.86

=

14y

−2.86

x=−4.895105y

A company uses 6,000 gallons of
water each month. If they reduce their
monthly water use by 12%, how much
water will be saved each month?

Answers

Answer:

5280

Step-by-step explanation:

y = mx + c

Find the value of y when m=-2,x=-7 and c=-3.

Answers

Answer:

put the value of the place of alpha bat let,y=-2×-7+(-3)y=-14+(-3)y=-14+3y=-11. ans

On Saturday, many tickets fir a hockey game were sold. Children and adult were in the ratio of 4:7. There are 88 tickets in total. How many adult tickets were sold?

Answers

Answer:

56 adult tickets were sold

Step-by-step explanation:

Ratio of ticket sold to Children and adult is in the ratio 4 : 7

Total ratio = 4 +7 = 11

Ratio of adult = 7

Total ticket sold = 88

Number of adult tickets sold = Ratio of adult/Total ratio * Total ticket sold

Number of adult tickets sold = 7/11 * 88

Number of adult tickets sold = 7 * 8

Number of adult tickets sold  = 56 tickets

Hence 56 adult tickets were sold

the 70th term of the arithmetic sequence the 70th term of the arithmetic sequence 18,34,50,...

Answers

Answer:1122

Step-by-step explanation:

Hve to work out the general equation first by calculating the common difference-16.

Write y2 in isolated
form.
19x2 + 4y2 = 25

Answers

y=(-19x+5)/4 thats your answer

Mikhail has $4.15. If he buys one pack of candy canes, how much money does he have left? (the candy canes are $2.45 FOR A PACK OF 4 candy canes)

Answers

Answer:

1.70$

Step-by-step explanation:

$4.15-$2.45

=1.70$

Answer:

$1.70

Step-by-step explanation:

If you subtract the price of one pack of candy canes from how much money he has you get $1.70

(hope this helps)

Craig likes to collect records. last year he had 10 records in his collection. now he has 13 records. what is the percent increase of his collection?​

Answers

Answer:

30%

Step-by-step explanation:

lol

Answer:

The answer to this problem would be 30%

Step-by-step explanation:

I had this exact problem, and I got it correct......

Find the lengths of the diagonals of rectangle QRST, if QS=14x+10 and RT=11x+22.

Answers

Answer:4

Step-by-step explanation:

diagonals of a rectangle are equal therefore QS=RT, 14x+10=11x+22, and solve for x to get 3x=12, so x equals 4

HELP DUE IN 15 MINUETS!!!
y = - 2/3 x + 1 , which is the graph of this equation?

Answers

The y-intercept is 1, the slope is -2/3, so the graph is B, the second one down.
I take a nap buy lol

Help me please!!!!!!

Answers

Answer:

c.

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

What is the distance between (-1,-3),(1,3)

Answers

Answer:

4,4 is the distance

Step-by-step explanation:

cause its 4 squares away for both

(4,4) is the distance

A large amount of money is spent on promotional activities in the United States every year. The average budget breaks down as follows 50% for advertising 30% for sales promotion, and 20% for trade promotion. Use these percentages to calculate the amount a company will spend on each type of promotion if its overall budget is $400,000. ​

Answers

Answer:

Iam here to ruin your day sry nothing personal.

I need help with this proof!

Answers

Answer:

Line segment BD is congruent to line segment DC because they are divided by a bisector, which tells you that a bisector is present when both sides of the shape are congruent.

Step-by-step explanation:

6+16k factored using the GCF

Answers

2 is the GCF 3+8k

Hope this answer helps you

Answer:

2(3 + 8k)

Step-by-step explanation:

GCF of 6 and 16 is 2.

6 + 16k = 2(3 + 8k)

PLEASE HELP OVERDUE

1. 2(x+3)+1=13
2. X+8=3x-4

Answers

1. x = 3

2. x = 6

hope this helpsss

Please, can someone help me?

Answers

Step-by-step explanation:

4. not enough information

5.SAS

.we have PE congruent to ER

.angle PEF congruent to angle FER

.and EF that is common for both of triangles

6.SSS

.MO congruent to KL

.MK congruent to OL

.KO that is common for both of triangles.

George is buying peaches and kiwis. He buys p peaches at $4.29 each and k kiwis at $2 each. What expression would you write to show the total cost of the peaches and kiwis?

Answers

Answer:

Step-by-step explanation:

the total cost, c  will be

     c= p(4.29)+k(2)

PLS HELP WILL GIVE BRANLIEST

Answers

Answer:

C

Step-by-step explanation:

hope this helped. I am in algebra two so you can trust my answer. happy holidays and stay safe

Help me please !!!!!

Answers

Answer:

a = 1

Step-by-step explanation:

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

One must simplify this expression, by distributing. In order to find a solution, where x has infinite solutions, one must make this equation an identity. That means that the equation will hold true, no matter what value of x is plugged in.

[tex]\frac{2}{3} (9x - 3) = 2(3x - a)[/tex]

Distribute;

6x - 2 = 6x - 2a

Inverse operations;

6x - 2 = 6x - 2a

-6x        -6x

-2 = -2a

1 = a

For this equation to be true no matter what, a must equal 1.

Answer:

1

Step-by-step explanation:

pleaseeeee help me i know y'all smart enough for this one‍♀️​

Answers

Answer:

x=1

Step-by-step explanation:

Step 1: Subtract 3x from both sides.

x+4−3x=3x+2−3x

−2x+4=2

Step 2: Subtract 4 from both sides.

−2x+4−4=2−4

−2x=−2

Step 3: Divide both sides by -2.

-2x/-2 = -2/-2

I'll give brainliest (; Please help tysm ❤

Answers

the answer is the last option!!

I will give you brainlest plzzz helppp!!!!

Answers

Answer:

329/9, the answer seems wrong but I triple checked because I thought so too. The answer is 100% correct

Step-by-step explanation:

Angle EFG + Angle FGH + Angle GEF = 180 degrees

(2x+1) + (6x+2) + (x + 19) = 180 degrees

9x + 22 = 180 degrees

9x = 158 degrees

x= 158/9

x+19 = Angle GEF

158/9 + 19 = Angle GEF

329/9 =Angle GEF

Double check:

(2x+1) + (6x+2) + (x + 19), x=158/9

2(158/9) + 1 = 325/9

6(158/9) +2 = 322/3

(158/9) +19 = 329/9

325/9 + 322/3 + 329/9 = 180

Please help will give thank, brainliest, and 5 stars!

Answers

Answer:

Correct

Step-by-step explanation:

Answer:

your right its 19000

Step-by-step explanation:

if you answer this i will give brainliest

Answers

Answer:

Hey can you post this again please

Step-by-step explanation:

It wont let me put in the answer i tried to copie and paste it but it didnt work

Write this number in standard form: 1.7254 x 10^3

Answers

Answer:

1.7254*1000

Step-by-step explanation:

To write a linear expression in standard form, rearrange the terms in alphabetical order.
1.7254 x 10^3

I need help on these questions​

Answers

Answer:

I dont know some of them but

2) M

3) R

4) V

5) G

6) H

7) C

8)Q

9) -9 8

Other Questions
At your birthday, 38 of the 24 guests were relatives. How many of the guests were NOT relatives? 20 point!!!!! Which statement is the best definition of theme in a text?A theme is a message that a story conveys about a topic. A theme always focuses on ideas related to friendship. A theme is proof that something is real, true, or accurate. A theme is a change from one thing or form to another. Andre led his baseball league in home runs last year. This year he hit 25% fewer home runs than he did last year.If y represents the number of home runs Andre hit last year, which two of the following expressions can be used to calculate the number of home runs he hit this year? Factor expression completely x^2+6x+9 Why is the organization of the periodic table by physical properties not very useful? I really need help with the last questions of this please For the poem First Frost 12. Her ______ are like ice. (1 point)A. BeadsB. Fingers C. Eyes D. Cheeks 13. Her face is stained by _____ (1 point) A. Mascara B. Pain. C. Ice. D. Tears.14. Frost of the telephone phrases means ______ (1 points)A. Loving payphone exchange.B. Cold words on the phone.C. A warm embrace to fight the cold.D. frozen out by a wrong number.15. ________ glitters on her cheek. (1 point)A. Winter.B. Ice.C. Glass.D. Lipstick For question 16, classify the sentences. 16. The house in disorganized, but its not dirty. (1 point)A. Simple B. Compound C. Complex D. Compound-complex Which of the following words is the most similar to (lull)A)pauseB)noiseC)boring D)mark Help with all five questions on the image below, will give BRAINLIEST :D When I took office, I committed to fixing this broken immigration system. And I began by doing what I could to secure our borders. Today, we have more agents andtechnology deployed to secure our southern border than at any time in our history. And over the past six years, illegal border crossings have been cut by more than half. Although this summer there was a brief spike inunaccompanied children being apprehended at ourborder, the number of such children is now actually lower than it's been in nearly two years. Overall, the number of people trying to cross our border illegally is at its lowestlevel since the 1970s. Those are the facts.-Address to the nation on immigration, PresidentObama, 2014According to the passage, what has resulted from the steps to fix the immigration system?A. The government has completely stopped illegal crossings at the borderB. The government has reduced the number of illegal entries into the United States C. The number of undocumented workers continues to increase each year.D. The number of undocumented workers rises and falls and remains difficult to control. anybody solve this i made it its easy3(55x2) + 9 + 44 +88 x 9 = your number + 163593 _____ unit is the most widely used system of units in both science and business What are the slope and the y-intercept of Brenda's graph?A. Slope =1 /3; y-intercept = 7B. Slope = -3; y-intercept = 21c. Slope = - 1/3 ; y-intercept =21 D. Slope- 1/3 ; y-intercept = 7 I need help(practice quiz) 59 is the sum of 9 and rajs score Write three points that how chemical fertilizer impact the environment Write an equation for the translation of y=|x| To determine a change of elevation on a topographic map what type of math would you use? -subtraction -addition-division Paul is getting balloons for his uncle's birthday party. He wants each balloon string to be 6 feet long. At the party store, string is sold by the yard. If Paul wants to get 46 balloons, how many yards of string will he need When asked to revise a task, what is the maximum number of hours you should be able to resubmit the revised task? For Todoroki-kun cause he can't see anything :D What is my hair color?