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

An elevator can carry 800 pounds of weight.
A football player weighing 280 pounds gets on the elevator with a student weighing 95 pounds. Write and solve an inequality representing the
remaining weight x that can be added.

Answers

Answer:

800 > x + 375

x < 425

Step-by-step explanation:

800 > x + 375

425 > x

Please help due in 15 min

Answers

It is 63 students, because 84 divided by 2 is 42 then half of 42 is 21 so 21 is 25% so then you do 21 x 3 = 63

What is the slope of the line?​

Answers

Th answer is 3/2. The line goes up 3 spaces and goes sideways 2 spaces. I hope this helps! :)

A store spends 1/4 of its income on salaries and 1/6 of its income on advertising. If the store pays $150,000 for salaries, how much does it spend on advertising? Be sure to explain your reasoning.

Answers

Answer:

$100,000

Step-by-step explanation:

Let the total income of the store = [tex]\$x[/tex]

Total spends on salaries = [tex]\frac{1}{4}[/tex] of total income

Total spends on advertising = [tex]\frac{1}{6}[/tex] of total income

Also, we are given that:

Total money paid as salaries = $150,000

To find:

Total spends on advertising ?

Solution:

As per question statement, we can write the following equation:

[tex]\dfrac{1}{4}x =\$150000\\\Rightarrow x =\$150000\times 4\\\Rightarrow x = \$600000[/tex]

Now, as per the given statement, total spends on advertising are:

[tex]\dfrac{1}{6}x =\dfrac{1}{6}\times 600000 = \bold{\$100,000 }[/tex]

Therefore, the answer is $100,000

Willis drove 239.82 miles in 4.2 hours at a constant speed. How long would it take him to drive 445.38 miles at the same speed? PLZZZ I NEED THIS ASAP WITH THE EXPLANITION

Answers

Answer:

(57.1 miles per hour. )

7.8 hours

Step-by-step explanation:

plz help me what is y=4x+8

Answers

X=-2
Move variable to the left and than you divide both sides of equation by 4

What is the solution for -10 < x - 9?

Answers

Answer:

-1 < x

Step-by-step explanation:

-10 < x - 9

+9. +9

-1 < x

A bird goes from a higher location to a lower location at a rate of 3 meters per second. Which equation models the change in the bird's position at 120 seconds?
a. 120(-3) = -360
b. 120 x 3 = 360
c. (-120)(-3) = -360
d. 120(-3) = 360

Answers

Answer:

D

Step-by-step explanation:

We know that every second the bird's position lowers by 3(-3) so the equation for it is option D

Answer:

its A i got got right on my test

Step-by-step explanation:

A.P.E.X.

How many girls if its 4/3 and 120 students

Answers

Answer:

well for me I think

Step-by-step explanation:

4/3×120

480/3

160

Any help please and thank you

Answers

Answer:

n=6

j=15

u=7.6

Step-by-step explanation:

Given TACBRD=MYPXEF

we find that the ratio is 1 : 2.5 and we solve from here

Titus cuts 3/4 inch sections of wood to make a birdhouse. He cut 36 sections. How many inches did he cut?

SHOW YOUR WORK FOR DOUBLE THE POINTS AND YOU GET PICKED BRAINLIST
!!! I WILL REPORT YOU IF YOU CHEAT!!!

Answers

Answer:

report me if i cheat nah its 4

Step-by-step explanation:

An alarm rings 8 times in 5 seconds.What is the unitr rate,in rings per second?

Answers

Answer: the answer is 1.6

Step-by-step explanation: 8 divided by 5 is 1.6

help it’s also not D :)

Answers

Answer:

the answear is c

Step-by-step explanation:

i learnt in class that the number with the letter is used to divide what it equalls

Answer:

C

Step-by-step explanation:

Step 2 is correct, that is

8x = 10 ( divide both sides by 8 ), error made here by dividing by 10

x = [tex]\frac{10}{8}[/tex]

x = [tex]\frac{5}{4}[/tex]

The error was made at step 3

Similar to changes in elevation, temperature changes are often expressed as sums and differences of positive and negative rational numbers.

Search the Internet for a website that gives the average monthly high and low temperatures (in degrees Celsius) in Nuuk, Greenland, and in Isla Hoste, Chile. Then answer the following questions based on your research. Answers will vary depending on the website you selected. Document the website you used in the Resources section at the end of this activity.

Part A
What are the average high and low temperatures (in degrees Celsius) for Nuuk in January?

Part B
What are the average high and low temperatures (in degrees Celsius) for Isla Hoste in August?

Part C
In Nuuk, what is the average net change in temperature, from the high to the low, in January?

Part D
In Isla Hoste, what is the average net change in temperature, from the high to the low, in August?

Part E
Which city experiences a larger absolute change between the high temperature and low temperature, Nuuk in January or Isla Hoste in August?

Part F
On a thermometer, how many times farther below the freezing point of water (0°C) is the January low for Nuuk than the August low for Isla Hoste?

Answers

Answer:

A.In Nuuk, Greenland, in January, the average high-temperature is -4.6°C (23.7°F), and the average low-temperature is -10°C (14°F).

B. the average high-temperature is 5.7 degrees celsius and average low temperature is 3.3 degrees celsius

C. 4 degrees celsius

D. 39 degrees fahrenheit

E. Isla Hoste in august

F.On the average, the average low in January for Nuuk is 10/3 or 3.333 times farther below the freezing point of water than the average low for Isla Hoste in August.

Step-by-step explanation:

Hope this helps OwO

a) The average high and low temperatures are -8°C and -27°C.  b) The average high and low temperatures are 13°C and  7°C. c) The average net change in temperature is -19°C.  d) The average net change in temperature is 6°C.  e) Nuuk in January experiences a larger absolute change.  f) The January low for Nuuk is 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

Part A

The average high temperature in Nuuk in January is -8°C and the average low temperature is -27°C.

Part B

The average high temperature in Isla Hoste in August is 13°C and the average low temperature is 7°C.

Part C

The average net change in temperature in Nuuk in January is -27°C - (-8°C) = -19°C.

Part D

The average net change in temperature in Isla Hoste in August is 13°C - 7°C = 6°C.

Part E

Nuuk in January experiences a larger absolute change between the high temperature and low temperature, with a net change of -19°C, compared to Isla Hoste in August, with a net change of 6°C.

Part F

The January low for Nuuk is -27°C, which is 27°C below the freezing point of water. The August low for Isla Hoste is 7°C, which is 7°C below the freezing point of water. Therefore, the January low for Nuuk is 27 / 7 = 3.8 times farther below the freezing point of water than the August low for Isla Hoste.

To learn more about average here:

https://brainly.com/question/24057012

#SPJ2

Can someone help me?

Answers

Answer:

sorry bruv wish you the best i will pray for you

Step-by-step explanation:

Help!!
Find the solution of this system of equations
x- 10y = -59
-4x + 10y = 86

Answers

Answer:

x - 10y = -59

(+)-4x + 10y = 86

-3x = 27

x = -9

substitute x into x - 10y = -59

-9 -10y = -59

-10y = -50

y = 5

PLEASE HELP ASAP!!!
Find the values of the variables and round to the nearest hundredth if necessary.

Answers

Answer:

x = 1.73

y = 2.45

z = 1.41

Step-by-step explanation:

1/z = z/2

z^2 = 2

z = sqrt(2)

1^2 + z^2 = x^2

1 + 2 = x^2

x^2 = 3

x = sqrt(3)

z^2 + 2^2 = y^2

2 + 4 = y^2

y^2 = 6

y = sqrt(6)

x = 1.73

y = 2.45

z = 1.41

15. Write the first four terms of the sequence:
a. f(n) = −2[tex]n^{2}[/tex] + 4
b. f (1) = 7, f(n)= −4 ∙ f(n-1) − 1 + 15

Answers

Answer:

16 17

Step-by-step explanation:

Answers please quickk

Answers

1. addition
2. subtraction
3. division

Answer:

Step-by-step explanation:

1 is addition

2 is subtraction

3 is division

factor 2x² + 9x + 4
blah blah blah random charactors

Answers

Answer:

revers card

Step-by-step explanation:

Answer:

( 2 x  +  1 )  ( x  +  4 )

Step-by-step explanation:

y^2 + 18y - 41 = 0
Y=
Y=

Answers

Answer:

y= -9+√122, or -9 - √122

Step-by-step explanation:

You have to solve the equation for y to find each variable of the quadratic and applying the quadratic formula.

after solved, I got the answer as decimal,

y = 2.0453610.....

i simpler form : y = 2.05

Also, an answer can be y= -9+√122, or -9 - √122

Evaluate f(-2) if f(x) = x2+ 3

Answers

Answer:

f(-2) = 7

Step-by-step explanation:

-2 squared would be a positive 4 then add 3

Answer:

f(-2) = 7

Step-by-step explanation:

becuase yes

The graph below shows a system of equations:

The x-coordinate of the solution to the system of equations is

Answers

Answer:

solution is (-2, 2) so x-coordinate of solution is -2

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

First, we have to write down both equations.

y = x + 4

3y = -2x + 2

Now we already have an equation that we can plug into the other equation.

= 3(x + 4) = -2x + 2

= 3x + 12 = -2x + 2

= 5x + 12 = 2

= 5x = -10

x = -2

Now we know that x = -2, and the question asks for the x-coordinate, which is -2.

Subtract the expressions: (5z + 4) - 5(-3z -6)

Answers

Hey there!

“(5z – 4) – 5(–3z – 6)”

DISTRIBUTE the RIGHT side of your equation

5z – 4 –5(–3z) + (–5)(–6)

–5(–3) = 15z

(–5)(–6) = 30

NEW EQUATION: 5z – 4 + 15z + 30

COMBINE your LIKE TERMS

(5z + 15z) + (4 + 30)

5z + 15z = 20z

4 + 30 = 34

ANSWER: 20z + 34 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Answer:

20z + 34

Step-by-step explanation:

what is the slope intercept form of a linear function

Answers

Answer:

In the slope-intercept form you use the slope of the line and the y-intercept to express the linear function. ... y=mx+b. Where m is the slope and b is the y-intercept.

Step-by-step explanation: I hope this helps

Answer:

y=mx + b

Step-by-step explanation:

In AJKL, if m2 J = 90°, then K and j are
A) Complementary
O B) Congruent
O C) Obtuse
OD) Right

Answers

You should have put a picture so we could see the graph

Every day, Isabella practices the piano for 0.75 hour and the flute for 1.4 hours. What is the total number of hours that she practiced in April? (Reminder: April has 30 days

Answers

Answer:

She practiced a total of 64.5 hours

Step-by-step explanation:

Here, we need to know the number of hours practiced on both per day

Mathematically, that will be;

0.75 + 1.4 = 2.15 hours per day

So in 30 days ; the total number of hours will be

30 * 2.15 = 64.5 hours

Dimas is playing a game that uses a number cube. The sides of the cube are labeled from 1 to 6. Dimas wants to roll a 2 or 3. He rolls the number cube one time

Answers

Answer:

B. 1/3

Step-by-step explanation:

The total number of sides in the cube are 6 (1,2,3,4,5,6). If Dimas only wants to roll either a 2 or 3 then that would mean that he has 2 chances out of the total 6 probable outcomes to roll one of those numbers. Therefore, in order to find the probability of this happening in a single roll we need to divide the number of times that his two choices appear on the dice by the total number of sides the dice has, like so...

2 / 6 = x

If we simplify it would give us [tex]\frac{1}{3}[/tex]

find the sum:
13,16,19,...301
thanks!

Answers

Answer:

349

Step-by-step explanation:

please give thanks by clicking the heart :)

The answer for the question is this
349

On 12/1/2020 a total of 14,108,603 people in the US have tested positive for the Coronavirus-19 (CV-19). If the daily rate of increase stays at 1.2% (as has been for the past 30 days), how many people would be expected to have tested positive by 12/31/2020 (n=30 days later)? Compounding is continuous.
a. 20,222,275
b. 516, 349. 960
c. 14, 625,765
d. 28,985,182
Please ANSWER ASAP!!!

Answers

Answer:

C

Step-by-step explanation:

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