The manager of a snack bar buys bottled water in packs of 35 and candy bars in packs of 20. Then, she sells the items individually. Yesterday, she bought the same number of water bottles as candy bars to sell at the snack bar. If she bought the lowest number of items possible, how many packs of each item did she buy?

Answers

Answer 1

[tex]\Huge\bf{\underline{\red \dag { Aиѕωєя }}} \red \dag[/tex]

4 Packs of water and 7 Packs of candy bars.

So, we wanna know the smallest number that both 35 and 20 will go into.

Find the Least Common Multiple (LCM), but to find the LCM we need to find the prime factorization of each of the following number :-

[tex] \sf {35 = 5(7)}[/tex]

[tex] \sf \red {20 = 5(4)}[/tex]

[tex] \sf {4 = 2(2)}[/tex]

[tex] \sf \red {20 = 5(2)(2)[/tex]

~Now multiply all the numbers by 5 :-

[tex] \sf \pink{5(7)(2)(2) = 35(2)(2) = 70(2) = 140}[/tex]

This means she needs 140 bottles of water and 140 candybars.

Water is sold in packs of 35, this means that she needs :

[tex] \sf \orange{ \frac{140}{35} = 4\: packs \: of \: water}[/tex]

Candy bars are sold in packs of 20, this means she needs :

[tex] \sf \green{ \frac{140}{20} = 7 \: packs \: of \: candy \: bars}[/tex]

_________________________


Related Questions

A monarch butterfly averages about 50 miles per day on its migration to Mexico.
a. Complete the ratio table to show rates that are equivalent to 50 miles per day.
Time (days)
1
1
N
4
8
Distance (miles) 50

Answers

Answer:

1,50 2,100 4,150 8,400

Step-by-step explanation:

multiply each number by the time (days)

Answer:1,50 2,100 4,200 8,400

Step-by-step explanation:

If 1=50 then 2=100 just repeat that easy

Can someone answer this

Answers

Answer:

[tex]\frac{4}{3}[/tex]

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 1, 1 ]

f(b) = f(1) = 3 ← value of y when x = 1

f(a) = f(- 1) = [tex]\frac{1}{3}[/tex] ← value of y when x = - 1

average rate of change = [tex]\frac{3-\frac{1}{3} }{1-(-1)}[/tex] = [tex]\frac{\frac{8}{3} }{2}[/tex] = [tex]\frac{4}{3}[/tex]

Can someone help me shot this problem

Answers

Answer:

A) sin θ = 3/5

B) tan θ = 3/4

C) csc θ = 5/3

D) sec θ = 5/4

E) cot θ = 4/3

Step-by-step explanation:

We are told that cos θ = 4/5

That θ is the acute angle of a right angle triangle.

To find the remaining trigonometric functions for angle θ, we need to find the 3rd side of the triangle.

Now, the identity cos θ means adjacent/hypotenuse.

Thus, adjacent side = 4

Hypotenuse = 5

Using pythagoras theorem, we can find the third side which is called opposite;

Opposite = √(5² - 4²)

Opposite = √(25 - 16)

Opposite = √9

Opposite = 3

A) sin θ

Trigonometric ratio for sin θ is opposite/hypotenuse. Thus;

sin θ = 3/5

B) tan θ

Trigonometric ratio for tan θ is opposite/adjacent. Thus;

tan θ = 3/4

C) csc θ

Trigonometric ratio for csc θ is 1/sin θ. Thus;

csc θ = 1/(3/5)

csc θ = 5/3

D) sec θ

Trigonometric ratio for sec θ is 1/cos θ. Thus;

sec θ = 1/(4/5)

sec θ = 5/4

E) cot θ

Trigonometric ratio for cot θ is 1/tan θ. Thus;

cot θ = 1/(3/4)

cot θ = 4/3

joey invests 500 at 5% simple interest how much interest will he earn in 2 years?

Answers

I = p x r x t
Interest = 500 x .05 x 2
Interest = 50

John claims that Point X = – 4, and Point Y = 2. Which of the following statements provide support for John's claim? Select three that apply. X < Y because X is left of Y X > Y because X is left of Y X < 0 because X is left of zero Y < 0 because Y is right of zero X > 0 because X is left of zero Y > 0 because Y is right of zero

Answers

Answer: X<Y, X>0

Because -4 is less than 0 and -4 is greater than 0

What is the surface area of the triangular prism?


a

152 square feet

b

252 square feet

c

172 square feet

d

264 square feet

Answers

I would try and help but I think it's missing the picture

Scientists studying a bacteria sample find that after starting with 120 cells, the number of cells doubles every hour.

Which of the following equations is a function that will predict C(h), the number of cells after h hours have passed?

Answers

Answer:

[tex]C(h)=120*2^h[/tex]

Step-by-step explanation:

[tex]C(h)=120*2^h[/tex]

Doubling needs a base of 2, and the original number will need to be multiplied by two.

I don't know how to explain so I'm going to just give an example.

After an hour the original number doubles so 120*2

After two hours: 120*2*2

After 3 hours: 120*2*2*2

2*2 can also be written as [tex]2^2[/tex]

and 2*2*2 can be written as [tex]2^3[/tex]

So the number of hours passed is the exponent, and the base is 2 because the original number is being doubled.

Which of these organisms are sessile?

A.Birds.

B.Sloths.

C.Sponges.

D.Worms.​

Answers

Answer:

I think C

Step-by-step explanation:

Answer:

Sponges

Step-by-step explanation:

sponges are permanantly attached to an area in the water, making them sessile


Which of the following do not represent the measures of the sides of a triangle?
A)57, 80, 24
B) 43, 133, 89
C) 5, 6, 7
D 20, 20, 30

Answers

Answer:     B) 43, 133, 89

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

Explanation:

For this answer choice, we have p = 43, q = 133, and r = 89. Note how p+r = 43+89 = 132, which is not larger than the third remaining side q = 133. Therefore, p+r > q is false and a triangle cannot be formed.

A triangle is only possible if and only if adding any two sides leads to a sum larger than the third side (triangle inequality theorem).

Put another way, we must have these three conditions hold true for a triangle to form:

p+q > rp+r > qq+r > p

If any of those three are false, then we cannot make a triangle with side lengths p,q,r

-----------------

Let's go over choice C for an example in which we can form a triangle

p = 5, q = 6, r = 7

We can see that,

p+q = 5+6 = 11 which is greater than r = 7. So p+q > r is true.p+r = 5+7 = 12 which is greater than q = 6. So p+r > q is true.q+r = 6+7 = 13 which is greater than p = 5. So q+r > p is true.

All three conditions are true, and therefore we have a triangle that is possible with side lengths p = 5, q = 6, r = 7. I recommend cutting out slips of paper with these lengths to try it out yourself, so you have a real world example to play with. Choices A and D are a similar story to choice C, so we can rule out all three of these choices.

B is the answer to this question

2. 5x + 7x + 3x = 60
What’s the value of x?

Answers

Answer:

Step-by-step explanation:

Simplifying

7x = -3x + -60

Reorder the terms:

7x = -60 + -3x

Solving

7x = -60 + -3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3x' to each side of the equation.

7x + 3x = -60 + -3x + 3x

Combine like terms: 7x + 3x = 10x

10x = -60 + -3x + 3x

Combine like terms: -3x + 3x = 0

10x = -60 + 0

10x = -60

Divide each side by '10'.

x = -6

Simplifying

x = -6

Answer:

4

Step-by-step explanation:

5 times 4 (20) + 7 times 4 (28) + 3 times 4 (12) = 60

I need help with this question

Answers

V=763.02
If rounded to the nearest tenth V=763

PLEASE HELP
How will the perimeter of the rectangle change if each side is increased by a factor of 10? A rectangle with length 6 centimeters and width 3 centimeters. The perimeter will be StartFraction 1 Over 10 EndFraction the original. The perimeter will be StartFraction 1 Over 100 EndFraction the original. The perimeter will be 10 times the original. The perimeter will be 100 times the original.

Answers

Answer:

p1=2(3+6)p1=18p2=2(30+60)p2=180p2/p1=180/18=10c. The perimeter will be 10 times the original.  More

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Estimate the perimeter and the area of the shaded figure to the nearest whole number in square units.

Answers

Answer:

perimeter= 8+8=16 units

area = 16+8=24 sq units

Question 14 of 25
In a group of 40 students, the probability that at most 15 of them like to hike
is 54%. What is the probability that at least 16 of them like to hike?
O A. 38%
B. 46%
C. 55%
D. 62%

Answers

The probability that at least 16 of them like to hike would be equal to 46% So, option B is correct.

What is the probability?

Probability refers to a possibility that deals with the occurrence of random events. The probability of all the events occurring need to be 1.

P(E) = Number of favorable outcomes / total number of outcomes

In a group of 40 students, the probability that at most 15 of them like to hike is 54%. we need to find the probability that at least 16 of them like to hike.

The probability that at most 15 of them like to hike = 54%

Let the total possibility be 100%

then 100 - 54 = 46%

Therefore, the remaining possibility is the probability for at least 16 of them like to hike.

Learn more about probability here;

https://brainly.com/question/11234923

Rate of change for y=1x+1

Answers

Answer:

The rate of change is 1

Step-by-step explanation:

The rate of change is the same as the slope, the ratio of the change in y over the change in x. In this case, the slope is 1, making the rate of change also 1.

NEED HELP ASAP TAKING TEST A refrigeration unit at a restaurant is supposed to be kept at 40°F. An inspector would like to test the hypotheses H Subscript 0 Baseline: mu = 40 versus H Subscript alpha Baseline: mu not-equals40 where μ = the true mean temperature for all times of the day. A 98% confidence interval based upon a random sample of 40 temperatures is 40.5 degrees to 42.1 degrees. Using the interval, what decision should be made?

The null hypothesis should be rejected at the Alpha = 0.01 level.
The null hypothesis should be rejected at the Alpha = 0.02 level.
The null hypothesis should not be rejected at the Alpha = 0.05 level.
The null hypothesis should not be rejected at the Alpha = 0.10 level.

Answers

Answer:

,, the null hypothesis should be rejected at the alpha equals 0.02 level

Solve for x.
[tex]25x = 100[/tex]

Answers

Answer:

Solution given:

[tex]25x = 100[/tex]

[tex]x = \frac{100}{25}[/tex]

[tex]x = 4[/tex]

x=4 is a required answer.

Let's check

25x=100x=100/25x=4/1x=4

x is 4

20/100 + 4/10 =20/100 + x = x move a fraction to make the equation true

Answers

Answer:

remove 4/10

20/100=20/100= 1 which is x

Step-by-step explanation:

Mrk ME BRAINLIEST PLZZZZZZZZZZ

What is the area?

**I will give brainliest to the correct answer**

Answers

Answer:

the answer is 648 bc when you multiply all the answer one at a time you would get 648

45 yd
24 yd
What is the length of the hypotenuse?

Answers

Answer= 51
I plugged it into a calculator good luck

Answer:

51

Step-by-step explanation:

A^2+b^2=c^2

That's the formula

Solve for x. Enter the solutions from least to greatest.(x+1) 2 −36=0

Answers

Answer:

x = 17

Step-by-step explanation:

(17+1) 2 - 36 = 0

If you don't think this is right, you may clarify it by plugging it in and multiplying :) thank you for your time <3

Answer:

x=17

Step-by-step explanation:

10
05
15
20
25
60
30
35
40
55
45
50
Which of the following represents the Inter-Quartile Range of data?
A. 26
B. 50
C. 56
D. 10
E. 16

Answers

I’m assuming a. Or 26 since it’s the only number within the range

The value that represents the Inter-Quartile Range of data is 26.

Option A is the correct answer.

What is the interquartile range?

An interquartile range is a measure of the difference between the upper and lower quartiles of a dataset.

W can find the values of the upper and lower quartile and median from a box plot.

The middle line is the median and the first line is the lower quartile and the last line is the upper quartile.

The formula used is Upper quartile - Lower quartile.

We have,

From the boxplot, we can see that,

Third quartile = 46

First quartile = 20

Now,

Interquartile range

= Third quartile - First quartile

= 46 - 20

= 26

Thus,

The value that represents the Inter-Quartile Range of data is 26.

Learn more about the interquartile range here:

https://brainly.com/question/29204101

#SPJ7

Please help. I will give u brainiest if u have the right answer.

Answers

Answer:

Ok this time sense you want explanation i give you it your welcome. -7 1/2 reduces to -15/2 and -15/2 + 2 = -5 1/2 or -11/2

Answer:

-Exact form: 11/2

Help me out please???

Answers

To answer this question you first have to find angle acb. You’ll take the sum of the triangle and plug it into an equation. 180=65+(4x+5). You combine like terms and then divide the 4 to both sides to get 27.5. Then you do the same thing to find bcd. 180=27.5+9x-5. Which is 17.1667. I hope that helps!

Factor the expression. 10y+15+25y

Answers

Answer:

25y+15

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

5(7y+3)

Step-by-step explanation:

An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model in inches?

Answers

Answer:

architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet. The height of the house is 21 feet. What is the height of the scale model

The value of the height of the scale model in inches is,

⇒ 10.5 inches

What is Division method?

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.

For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

An architect built a scale model of a new house using a scale in which 1.5 inches represents 3 feet.

And, The height of the house is 21 feet.

Now, We get;

The value of the height of the scale model in inches is,

⇒ 1.5 / 3 x 21

⇒ 1.5 x 7

⇒ 10.5 inches

Thus, The value of the height of the scale model in inches is,

⇒ 10.5 inches

Learn more about the divide visit:

https://brainly.com/question/28119824

#SPJ2

Using the graph, determine the coordinates of the x-intercepts of the parabola.

Answers

Answer:

x=1

x=3

Step-by-step explanation:

X-intercepts are the points in which the graph crosses the x-axis

please help i have no clue how to this any tips appreciated:))

Answers

Answer:

[tex] \displaystyle PW = \underline{ \quad18 \quad}[/tex]

Step-by-step explanation:

by tangent property we acquire:

[tex] \displaystyle 3x - 6 = x + 10[/tex]

add 6 to both sides:

[tex] \displaystyle 3x= x + 16[/tex]

cancel x from both sides:

[tex] \displaystyle 2x= 16[/tex]

divide both sides by 2:

[tex] \displaystyle x= 8[/tex]

so,

[tex] \displaystyle PW = 3x - 6[/tex]

plug in the got value of x:

[tex] \displaystyle PW = 3.8 - 6[/tex]

simplify multiplication:

[tex] \displaystyle PW = 24- 6[/tex]

simplify Substraction:

[tex] \displaystyle PW =18[/tex]

hence, The measure of PW is 18 unit

Is this correct?Check image

Answers

yes it is correct!:)
B would be 10^5 because 10 is already 10^1

3 packets of fries cost £4.20
How much does 5 packets of fries cost?
Select one
a. £6.40
b. £6.00
C. £7.00​

Answers

the answer is C, because if you divide 4.20 by 3, you get 1.4, do you can multiply 1.4 by 5 and get 7.00

Answer:

C

Step-by-step explanation:

First, divide £4.20 by 3 to get the price for 1 packet.

4.20/3 = 1.4

5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00

Other Questions
Which best describes nuclear fusion? O A nucleus spontaneously splits and absorbs energy O Two nuclei spontaneously combine and absorb energy. O A nucleus collides with a neutron and splits, releasing energy. O Nuclei combine to form a heavier nucleus, releasing energy. What is the length of SA? x^2-11x-38=0, which number would have to be added to complete the square what is the answer to x+2y=2 and3x+4y=-4 2 H2(g) + O2 (g) --> 2 H20 (1)How many moles of hydrogen gas do you need to make 2 moles of liquid water? 23.20m + on ?Which expression is equivalent to 54n In a popular online role playing game, players can create detailed designs for their character's "costumes," or appearance. Aaron sets up a website where players can buy and sell these costumes online. Information about the number of people who visited the website and the number of costumes purchased in a single day is listed below.41 visitors purchased no costume.78 visitors purchased exactly one costume.10 visitors purchased more than one costume.If next week, he is expecting 2000 visitors, about how many would you expect to buy more than one costume? Round your answer to the nearest whole number. Which document held the provision that a person could NOT be considered guilty of a crime with no body of evidence against them? A. Writ of Habeas Corpus B. English Bill of Rights C. Petition of Right D. Magna Carta Which statements are true about the polynomial function?f(x) = x3 + 5x + 6xSelect each correct answer. How was nation-building in Africa a success A student on an amusement park ride moves in circular path with a radius of 3.5 m once every 4.5 s. What is the tangential velocity of the student? Which would indicate the water in a lake is not safe for drinking? A. many varieties of fish in the lake B.high dissolved oxygen levels in the lake C. cold water temperature of the lake D. high turbidity levels in the lake help please ill give you brainliest if its right How did the North Atlantic Treaty Organization (NATO) impact the course of the Cold War?It created an economic organization to support its members against communism.It responded to the Soviet creation of the Warsaw Pact in Eastern Europe.It discouraged the Soviet Union from invading Western Europe.It organized a web of surveillance to monitor the Soviet navy and its movements. what is the general's motivation in the drummer boy of shiloh sawarasenaikimiwashoujonano?bKWARiHiBCChOoSDYO True or false: All plants need the same amount of sunlight, water, and type of soil. In which direction does the left side of the graph of this function point?f(x)= -x4- x2 + 4x - 2 2. Read lines 17-20 again. All of the following are true statements exceptA. Mercutio threatens to kill Tybalt.B. Mercutio insists that Tybalt stop the senseless fighting.C. Mercutio compares Tybalt to a cat because he is agile, territorial, and predatory -- like catsare often thought to be.D. Mercutio tells Tybalt he needs to make up his mind quickly. Meghan walked 1.67 fewer miles than Ellie. Ellie walked 5.34 miles. How many more miles did Meghan walk?