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

Write the slope-intercept form of the equation of the line passing through the point (5, - 1) and parallel to the line y = 4x - 1

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Step-by-step explanation:

hope this solution will help you

Fraction help for math class help. Simplify

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Answer:

7 13/20

Step-by-step explanation:

Answer:

7 13/20

Step-by-step explanation:

add whole numbers add fraction parts

3+4=7

2/5=8/20

1/4=5/20

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Aquarium II contains 54.6 gallons of water. Isaac will begin draining Aquarium II at a rate of 0.8 gallon per minute.


After how many minutes will both aquariums contain the same amount of water?

Answers

12 to the fifth power hope this helps have a nice day

Evaluate the expression below when x = 5.5 and y = 6. 4(x+6)−3(y+4)

Answers

Answer:

16.4

Step-by-step explanation:

4(5.5 + 6) - 3(6 + 4)

4(11.6) - 3(10)

46.4 - 30

16.4

Answer:

The answer is 16.

Step-by-step explanation:

4(x+6)−3(y+4)

=4x+24-3y-12

=4(5.5)+24-3(6)-12

=22+24-18-12

=46-30

=16

Please answerrrrrr I I’m horrible at this

Answers

Answer:

Ok is there options? Because that will make it easy but I dont think your supposed to ask for help on a district test

- 6x+5
A. (x + 5)(-1)
B. (x-4)(x-2)
C. (x + 4)(x-2)
D. (x - 5)(x-1)

Answers

every choice except A quadratic questions

You will get the degree of the polynomial by adding the exponent of the variable include in the polynomial.
True
False​

Answers

Answer:

Step-by-step explanation:

THe answer is true

what ius the symoble for iron

Answers

Answer:

fe

Step-by-step explanation:

Please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

QN = 17

JQ = 2*QN

JQ = 2* 17

JQ = 34

which point is the incenter of angle DEF

Answers

I think it’s point G

Sugar and flour are mixed in the ratio 3.5 in a sweet recipe in another recipe 15 parts of flour are used if these two ingredeints on both recipes are in both recipes are an equivalent ratio

Answers

Answer: 9

Step-by-step explanation:

Here is the completed question.

Sugar and flour are mixed in the ratio 3:5 in a sweet recipe. In another recipe, 15 parts of flour are used. If these two ingredients in both recipes are in an equivalent ratio, how many parts of sugar should be used?

Ratio of sugar and flour = 3:5

Since 15 parts of flour are used, the parts of sugar that should be used will be:

= 15 ÷ 5/3

= 15 × 3/5

= 3 × 3

= 9

Describe a congruence transformation.

Answers

I DONT REALLY KNOW IM SO SORRY

Solving equations

2(x-4) = -4(2x+1)

Answers

Answer:

x=2

THAT IS ALL I KNOW SORRY

Step-by-step explanation:

Answer:

x = -1.2

Step-by-step explanation:

First distribute

2x + 8 = -8x - 4

next move variables to one side

2x + 8 = -8x - 4

+8x        +8x

10x + 8 = -4

now get the variable by its self

10x + 8 = -4

       -8   -8

10x = -12

/10.    /10

x = -1.2

apple's cost 3.60 for 3 pound how much pounds for 8.40$​

Answers

Answer:

7 pounds.

Step-by-step explanation:

3.60 for 3 pounds

1.20 per pound.

8.40/1.20 = 7 pounds


These questions are the worst

Answers

Answer:

yes.. i HATE them!!

ur answer is: either C or D

(not sure..)

has a business selling perfume at the mall. Currently his business has a
balance of -$20.
Which amounts of sales would give Mason's business a positive balance?
Choose ALL that apply.
$29
$19
$21
$30
$35
$15

Answers

Answer:

$29, $21, $30, $35

Step-by-step explanation:

the amounts had to be larger than $20 because he owes money and needs more inorder to have gained money

Which expression uses the greatest common factor and the distributive property to write the sum 36 1 54 as a product? A 6(6 1 9) B 9(4 1 6) C 18(2 1 3) D 27(9 1 27)

Answers

9514 1404 393

Answer:

  C  18(2 + 3)

Step-by-step explanation:

The GCD of 36 and 54 is their difference, 18. Factoring that out of the sum, you have ...

  36 + 54 = (18·2 + 18·3) = 18(2 + 3) . . . . matches choice C

Find the missing side. Round to the nearest tenth.
X
16
20

Answers

Answer:

x = 58.47

Step-by-step explanation:

Use SOH CAH TOA

Sin(16) = 20/x

x = 58.47

C=5/9(F−32)

The equation above shows how temperature F, measured in degrees Fahrenheit, relates to a temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true?

A temperature increase of 1 degree Fahrenheit is equivalent to a temperature increase of
5
9
degree Celsius.
A temperature increase of 1 degree Celsius is equivalent to a temperature increase of 1.8 degrees Fahrenheit.
A temperature increase of
5
9
degree Fahrenheit is equivalent to a temperature increase of 1 degree Celsius.
A) I only
B) II only
C) III only
D) I and II only

Answers

Answer:

The final answer is D) I and II only

Step-by-step explanation:

Think bout what the formula is

y=mx+b

in this case

the slope of the graph is  

5/ 9 , which means that for an increase of 1.

C= 5 /9 (F)

C=

5 /9  (1)= 5 /9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9 /5  degrees Fahrenheit.

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1. The value of (301)^2 – (300)^2 is

Answers

answer:
(301)^2-(300)^2
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so,
(301+300)(301-300)
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Answers

Answer:

Answer: FIRST OPTION

Step-by-step explanation:

The missing picture is attached.

By definition, given a Quadratic equation in the form:

Where "a", "b" and "c" are numerical coefficients and "x" is the unknown variable, you caN use the Quadratic Formula to solve it.

The Quadratic Formula is the following:

In this case, the exercise gives you this Quadratic equation:

You can identify that the numerical coefficients are:

Therefore, you can substitute values into the Quadratic formula shown above:

You can identify that the equation that shows the Quadratic formula used correctly to solve the Quadratic equation given in the exercise for "x", is the one shown in the First option.

What is 5(pi) /6 radians converted to degrees? If necessary, round your answer to the nearest degree

ANSWER IS 150 DEGREES

Answers

Answer:

C

Step-by-step explanation:

By converting radians 5π /6 into a degree, we get the nearest degree 150.

How to convert radians into a degree?

We can convert radians into a degree by using the formula

Degree = Radians x (180°) / π

To 5π /6 convert radians into a degree,

Degree = Radians x (180°) / π

Degree =  5π /6 x (180°) / π

             = 5 /6 x  (180°)

             = 150°

Learn more about Degree;

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All truck travels 2,400 m in 60 hours, going the same distance each hour. How many miles does the truck travel each hour?

Answers

Answer:

The truck travels 40 miles per hour.

Step-by-step explanation:

You can use proportion to solve this.

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Answers

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for
A purse costs $21.50 plus 7.5% tax. How much tax will a customer pay
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A)$0.75
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D$16.13

Answers

The answer is B
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Answers

Answer:

x=16

Step-by-step explanation:

-3x+12=-36

     -12 | -12

-3x=-48

/-3 | /-3

x=16 because the negatives cancel out eachother so it would be x=48/3 and 48/3=16

Nora has nn nickels and dd dimes. She has a minimum of $2 worth of coins altogether. Write this situation as an inequality.

Answers

Answer:

0.05nn + 0.10dd ≥ 2

*make sure it is either n or nn depending whether you had a typo in problem*

Step-by-step explanation:

First each nickel is worth 0.05

each dime is 0.10

and we must have a minimum so the total value has to be at least $2

so 0.05nn + 0.10dd ≥ 2

please give thanks by clicking the heart button :)

HELPPPPPPPPPPPPPPPPP

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Answer: We can't see the picture

Step-by-step explanation:

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Answers

Answer:

Step-by-step explanation:

A triangle has one side that measures 5 units and another side that
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Answers

Answer:

see explanation

Step-by-step explanation:

Given 2 sides of a triangle then the third side x is between the limits

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Choose any 2 values between 2 and 12 as third side, so

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