A store sells bottles of juice in boxes. Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. What is the maximum number of bottles in each box?

Answers

Answer 1

Answer:

The maximum number of bottles in each box is equal to 9.

Step-by-step explanation:

Garth bought 18 bottles, Rico bought 36 bottles, and Mai bought 45 bottles. We need to find the maximum number of bottles in each box. It can be calculated using HCF of 18, 36 and 45

The factors of 18 are: 1, 2, 3, 6, 9, 18

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

The factors of 45 are: 1, 3, 5, 9, 15, 45

Then the greatest common factor is 9.

So, there are 9 bottles in each box.


Related Questions

The probability of winning a game is 25%. How many times should you expect to win if you play 20 times?
5 times
2 times

Answers

5 times.

Hope this helps!
5 times

Should be that i think

The equation of the line through (3, - 4) with slope 2/3

Answers

Y = mx + b
m = slope, b = y intercept
Plug in point
Y = 2/3x + b
-4 = 2/3(3) + b
-4 = 2 + b, b = -6
Y = 2/3x - 6

Can someone help me please

Answers

Answer:

B

Step-by-step explanation:

sohcahtoa

sin = opp/hyp

sin A = 16/20= 4/5

y=8x+7 i need helpppp

Answers

Answer:

i think the answer is d

hpe it helps

Answer:

b

Step-by-step explanation:

What is the value of x?
Enter your answer in the box.
units

Answers

Answer:

x = 28

Step-by-step explanation:

ΔARP ≈ ΔCRD

42/x = 57/(10+x)

cross-multiply:

42(10+x) = 57x

420 + 42x = 57x

420 = 15x

28 = x

Can the following properties of figures change when transformed with a rigid motion? Move each letter a-h to the appropriate box.


A. Side Lengths
B. Slope of a Side
C. Orientation
D. Area
E. Interior Angles
F. Location in the plane
G. Parallel Lines in the pre-image
H. Perimeter


Yes, Can Change No, Can't Change

Answers

John has consumed 1,600 calories so far today. He has also burned off 400 calories at the gym. He would like to keep his daily calorie total to 1,800 calories per day. How many calories does he have left to consume for the day? Is 1,000 a viable solution to this problem?

please help me asap.

Answers

Answer:

21

Step-by-step explanation:

Yes I am here to help

can you guys tell what 7689x567​

Answers

Answer:

7689 x 567​

4,359,663

Step-by-step explanation:

Answer:

4,359,663

Step-by-step explanation:

hope this helps

PLZ use the information given to write the equation of the circle.
Center: (0,-16), Radius: √15


A: x2+(y+16)2 = 15−−√

B: (x+16)2+y2=15

C: x2+(y+16)2= 15

D: x2+(y−16)2 = 15

Answers

Answer:

x^2+(y+16)^2=15

Step-by-step explanation:

(x-0)^2+{y-(-16)}^e=(√15)^2

→x^2+(y+16)^2=15

Answer:

C. x² + (y + 16)² = 15

Step-by-step explanation:

Equation of circle:

(x - h) + (y - k) = r², where (h, k) is the center and r is the radius

We have:

h = 0, k = -16, r = √15

Substitute the given into the equation above and get the equation of the given circle:

(x - 0)² + (y - (16))² = (√15)² ⇒x² + (y + 16)² = 15

Correct choice is C

Ryan has a 28 foot board. He needs to cut it into 24 equal length parts. How long should each section of the board be?

Answers

Answer:

1.17 feet

Step-by-step explanation:

28 ÷ 24 = 1.16666666667

round that and you get 1.17

1.17 feet I would think is the answer

The sales representative went to made a deal with the schools for a discount on the individual juice bottles the company usually sells the bottles to the distributors for $2.25 but they are selling them to the schools for 15% off for what price will they sell each bottle to the school?

Answers

Answer:

$1.91 per bottle :)

Step-by-step explanation:

Lily has $18. Matt has twice as much of a third of the amount that Lily has, and
Carolyn has $23 more than Matt has. How much money does Carolyn have?
$

Answers

Answer:

$35

Step-by-step explanation:

Answer:

he has $35 left

Step-by-step explanation:

PLEASE ANSWERS
Translate the description as an algebraic expression:
the difference of 4 and the absolute value of m

Answers

Answer:

[tex]4 - |m|[/tex]

Step-by-step explanation:

The two lines on each side of the m, signify that it is absolute value.

The difference of 4 and the absolute value of m, translates to 4 - |m|

Which expression is equivalent to the following complex fraction? StartFraction 2 Over x EndFraction minus StartFraction 4 Over y EndFraction divided by StartFraction negative 5 Over y EndFraction + StartFraction 3 Over x EndFraction StartFraction 3 y + 5 x Over 2 (y minus 2 x) EndFraction StartFraction 2 (y minus 2 x) Over 3 y minus 5 x EndFraction StartFraction 2 (y minus 2 x) (3 y minus 5 x) Over x squared y squared EndFraction StartFraction x squared y squared Over 2 (y minus 2 x) (3 y minus 5 x) EndFraction

Answers

Answer:

A

Step-by-step explanation:

The equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

What are equivalent expressions?

Equivalent expressions are expressions that have equal values, when compared

The expression is given as:

[tex](\frac 2x -\frac 4y) \div (\frac 5y + \frac 3x)[/tex]

Take LCM

[tex](\frac {2y - 4x}{xy}) \div (\frac {5x + 3y}{xy})[/tex]

Express the quotient as products

[tex](\frac {2y - 4x}{xy}) * (\frac {xy}{5x + 3y})[/tex]

Evaluate the product

[tex]\frac {2y - 4x}{5x + 3y}[/tex]

Hence, the equivalent expression of the complex fraction is [tex]\frac {2y - 4x}{5x + 3y}[/tex]

Read more about equivalent expressions at:

https://brainly.com/question/2972832

Angle K measures 67º and angle L measures 119°.

Circle O is inscribed by quadrilateral L M N K.

What are the measures of angles M and N?

m Angle M = 61o and m Angle N = 113o
m Angle M = 67o and m Angle N = 119o
m Angle M = 113o and m Angle N = 61o
m Angle M = 119o and m Angle N = 67o

Answers

Answer:

C.  m Angle M = 113o and m Angle N = 61o

Step-by-step explanation:

It's the only answer that makes all the angles added together equal 360 degrees.

67 + 119 + 113 + 61 = 360

Answer:

C

Step-by-step explanation:

Paula, the local baker, usually makes 1"5 loaves of bread and 10 cakes per day, but today she made 25 loaves of bread and 12 cakes. What is the percent increase far each bakery item?

Answers

Answer:

the percentage increase for bread and cake is 66.67% and 20% respectively  

Step-by-step explanation:

The computation of the percentage increase for each bakery item is shown below:

For bread

= (25  - 15) ÷ 15

= 66.67%

For cakes

= (12 - 10) ÷ (10)

= 20%

Hence, the percentage increase for bread and cake is 66.67% and 20% respectively  

Two snails climbed up a tree at a constant rate. A person measured and recorded their respective distances above the ground. • Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes. • Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds. • Determine the amount of time, in minutes, it took for the two snails to be the same distance above the ground. • Include an equation to represent each snail's distance above the ground, y, in terms of x, the minutes elapsed since the measurement started. Show your work or explain your answer.

Answers

Answer:

140 minutes

Step-by-step explanation:

Using m = (y₂ - y₁)/(x₂ - x₁) , we find the rate at which Snail A moves which is also the gradient of the line with which it moves. Given that Snail A was 12.5 inches above the ground at 10 minutes and 16 inches above the ground at 24 minutes, x₁ = 10 min, y₁ = 12.5 inches, x₂ = 24 min and y₂ = 16 inches.

So, m = (y₂ - y₁)/(x₂ - x₁)

m = (16 - 12.5)/(24 - 10) = 3.5/14 = 0.25

Also, the equation of the line,

(y - y₁)/(x - x₁) = m

(y - 12.5)/(x - 10) = 0.25

cross-multiplying, we have

y - 12.5 = 0.25(x - 10)

expanding the bracket, we have

y - 12.5 = 0.25x - 2.5

adding 12.5 to both sides, we have

y - 12.5 + 12.5 = 0.25x - 2.5 + 12.5

y = 0.25x + 10

Since Snail B started at 3 inches above the ground and climbed 0.3 inch per minute. The snails continued at the same speeds, its distance y moved is y = 0.3t + 3

We now find the time x it takes the snails to cover the same distance by equating both expressions. So,

0.25x + 10 = 0.3x + 3

collecting like terms, we have

10 - 3 = 0.3x - 0.25x

7 = 0.05x

0.05x = 7

x = 7/0.05

x = 140 minutes

Reflect across the x-axis.
A (-1, 6) B (5, 14) C (-1, 14)
Post Image Coordinates:
A’ ________ B’ ________ C’ ________

Answers

(-1,-6)
(5,-14)
(-1,-14)

If a duck have speed of 6 m/s in 10 s. What is the duck's distance?

Answers

Answer:

60 meters

Step-by-step explanation:

hope this helps

Identify the area of the composite shape.
71 cm squared
98 cm squared
34 cm squared
56 cm squared
please answer correctly and help me not being rude

Answers

Step-by-step explanation:

[tex]2(14 \times 2) + ((7 - 4) \times (14 - 9)) = \\ = 28 \times 2 + (3 \times 5) = \\ = 56 + 15 = \\ = 71[/tex]

At noon Ada and Kent had gallons of lemonade left at their lemonade stand. The next 3/8 customer bought of the remaining lemonade.How much lemonade did the customer 1/3 buy?

Answers

Answer:

2

Step-by-step explanation:

Which represents the solution set of the inequality 5x-9 < 21? a. x < 12/5 b. x > 12/5 c. x > 6 d. x < 6

A tabletop in the shape of a trapezoid has an area of 5,550 square centimeters. Its longer base measures 115 centimeters, and the shorter base is 85 centimeters . What is the height?

Answers

Answer:

55.5 cm

Step-by-step explanation:

[tex]h=2*\frac{A}{a+b} \\\\h=2*\frac{5550}{115+85} \\\\h=2*\frac{5550}{200} \\\\h=2*\frac{111}{4} \\\\h=55.5[/tex]

please answer! will give brainliest :)

Answers

Your answer is 20,321.5+8707.37 which equals 29028.87 feet. Mount Everest is 29028.87 feet tall.

In ΔJKL, the measure of ∠L=90°, the measure of ∠J=18°, and KL = 6.1 feet. Find the length of JK to the nearest tenth of a foot.

Answers

Answer: 19.7

Step-by-step explanation:

Answer:

19.7

Step-by-step explanation:

In a right triangle, the measures of the two smaller angles are (3x+6) and (2x - 1)º. Find the measure of the smallest
angle in the triangle.
A. 170
B. 33°
C. 570
D. 90°

Answers

Answer:

B is the answer

Step-by-step explanation:

Since there is already a 90 degree angle in the right triangle, the other two angles must add up to 90.

[tex]3x + 6 + 2x - 1 = 90[/tex]

[tex]5x + 5 = 90[/tex]

[tex]5x = 85[/tex]

[tex]x = 17[/tex]

Plug 17 into both to find the smaller angle

[tex]3(17) + 6 = 57[/tex]

[tex]2(17) - 1 = 33[/tex]

[tex]33 < 57[/tex]

So 33 is the answer or B

(pythagoras theorem | year 9)

Answers

Answer:

In this case, to prove what is required, we must use the Pythagorean theorem to find the diagonal of the square.

If the diagonal of the square is smaller than the diameter of the circle, then the square will fit perfectly in the circle without touching it.

Diagonal = Root ((7 ^ 2) + (7 ^ 2)) = 9.89 cm.

we observed that

9.89cm <11cm.

Therefore we show that:

the square will fit inside the circle without touching the edge of the circle

or

c^2 = a^2 + b^2 c^2 = 7^2 + 7^2 = 49 +49 c^2 = 98 c = sqrt 98 c = 9.8 cm c = diagonal of square (9.8 cm) and is less than the diameter of the circle (11 cm), so the square will fit inside the circle without touching the edge of the circle.

I hope this helps a little bit.

Please help!!!
I will mark you brainliest for the correct answer.
Please!!!!

Answers

Answer:

60°

Step-by-step explanation:

A straight line is 180°

<5 is 120°

180°-120°=60°

the answer is 60 degrees

If 6 is a factor of a number, then 12 is also a factor of the number.
Which number is a counterexample to the given statement?

Answers

Answer:

i think it is 24 sorry if a m swrong.

Step-by-step explanation:

find the area of the composite figure 12 yd height 10 yd base​

Answers

Answer:

120 yd^2

Step-by-step explanation:

1. 12x10= 120

2. 120 yd ^2

EMERGENCY!! please answer!!

Answers

I just need some points so I can ask a question but I hope you find your answer!
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