Juice is sold in small bottles and large bottles.
The volume of the large bottle is 1125 ml.
1125 ml
volume of small bottle : volume of large bottle = 2:5
A cafe has small glasses and large glasses.
volume of small glass : volume of large glass - 4:7
A small bottle fills 6 smal glasses with no juice left over.
How many large glasses can be filled by a large bottle?
You must show your working out

Answers

Answer 1

Answer:

8 large glasses can be filled by a large bottle.

Step-by-step explanation:

First we calculate the volume of a small bottle:

[tex]\frac{SmallBottle}{1125}=\frac{2}{5}[/tex]Volume of small bottle = 450 mL

Now we calculate the volume of a small glass:

" A small bottle fills 6 small glasses with no juice left over.", this means that

Volume of small glass = volume of small bottle / 6Volume of small glass = 450 / 6 = 75 mL

Then we calculate the volume of a large glass:

[tex]\frac{75}{LargeGlass}=\frac{4}{7}[/tex]Volume of large glass = 131.25mL

Finally we divide the volume of a large bottle by the volume of a large glass:

[tex]\frac{1125}{131.25}= 8.5[/tex]

So 8 large glasses can be filled by a large bottle with juice left over.


Related Questions

Make a conjecture. How are rigid transformations and congruent figures related? Check all that apply.

Rigid transformations preserve segment lengths and angle measures.
Rigid transformations produce congruent figures.
If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Answers

Answer:

Rigid transformations preserve segment lengths and angle measures.

Rigid transformations produce congruent figures.

If two figures are congruent, then there is a rigid transformation or a combination of rigid transformations that will map one onto the other.

Step-by-step explanation:

A rigid transformation or an isometry is a transformation that does not change the sides and angle of plane figures.Reflection in the plane, translations and rotation or a combination of them produce images that are congruent to the preimage.This implies that, two figures are congruent if and only if a  rigid transformation or a combination of one or more rigid transformations will map one plane figure onto another.Therefore all the given options are true.

All of the answers are correct, meaning that A,B, and all true.

Need help ASAP!!!! Find. Missing length

Answers

Answer:

7

Step-by-step explanation:

[tex]\frac{10}{5} = \frac{14}{x}\\10x=70\\x=7[/tex]

How much will he be paid in the first 2 years?

Answers

Answer:

this is the Formel 4000:100×4=160

Whats the correct answer need help right now

I’ll be giving extra points(brainliest)

Answers

Answer:

The correct answer would be D. It would not be a linear function because the rate of change is not constant.

Step-by-step explanation:

The rate of change is not constant since it is not adding by a same number each time.

The cost of a new laptop is $750 which generates a sales tax amount of 37.50. What is the sales tax rate.

Answers

Answer:

5 percent.

Step-by-step explanation:

Divide tax by the cost to see the percentage of the tax.

750/37.50=0.05

5 percent.

The phone company B-Mobile has a monthly cellular plan where a customer pays a flat fee for unlimited voice calls and then a certain amount per GB of data used. If a customer uses 8 GB, the monthly cost will be $48. If the customer uses 38 GB, the monthly cost will be $108. A) Find an equation in the form y = m x + b , where x is the number of GB of data used in a month and y is the total monthly cost of the B-Mobile plan.

y = __________

B) Use your equation to find the total monthly cost if 18 GB are used.

Answer: If 18 GB are used, the total cost will be _______ dollars

Answers

Step-by-step explanation:

That's the rifgt answer for sure!!

Plz Mark brainliest...

In the diagram, LaTeX: \Delta ABC\cong\Delta DFE
Δ
A
B
C

Δ
D
F
E
. Find the values of x and y.

Answers

Answer:

x = 13

y = 8

Step-by-step explanation:

Solve the equation in the interval ​[0​,360​). Use an algebraic method.

Answers

Answer:

70.9,109.1,204.0,336.0

Step-by-step explanation:

The solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is 6sin² θ - 7 sinθ = 5

Lets arrange in an order

6sin² θ - 7 sinθ - 5 = 0

a=6, b=-7 and c = -5

sinθ = 7±√49+120/12

Simplifying under the square root:

sinθ =7±17/12

Taking the positive solution first

sinθ =24/12

sinθ =2 (Not valid)

Now let's try the negative solution:

sinθ =7-17/12

sinθ =-10/12

sinθ =-5/6

θ= sin⁻¹(-5/6)

θ= −50.48⁰ ,−129.52⁰

we need to restrict our solution to the given interval [0,360), so we add 360 degrees to the negative angle:

θ=360−50.48 = 309.52 and 360 −129.52 =230.48

Therefore, the solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

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what is 75 Times 37 equal

Answers

Answer:

2775

Step-by-step explanation:

Hope this helped :)

Shirley starts with $85 in the bank and saves $15 every 2 months. Joshua starts with
$212.50 and spends $20 every 3 months.

Answers

Answer:

Shirley would have $115 and Joshua ends up with 152.5

Step-by-step explanation:

85+15+15=115

212.50-20-20-20-152.5

Please help I will love you forever!!! This test is timed thank you in advanced <3

Answers

Answer: For my opinion, I think it's either A or B.

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

$500 + $100x > 1200

x represents the months

can u pls help me with this question ​

Answers

Answer:

b

Step-by-step explanation:

The answer should be b

f(x)=7x+6÷x²-x
help pls :)

Answers

answer:

y=(x+7/2)^2-73/4

I NEED HELP ASAP PLS ANSWER

Answers

I gotchu!! It’s 40:))

A shop owner can buy two televisions and three DVD players for $1750 or four televisions and one DVD players for $1250. Find the cost of one of each

Answers

Answer:

Television = $200 and DVD player = $450

Step-by-step explanation:

→ Make 2 equations

Televisions = t and DVD players = d

2t + 3d = 1750

4t + d = 1250

→ Multiply the bottom equation by 3 to make the same variable of d

2t + 3d = 1750

12t + 3d = 3750

→ Minus the two equations to isolate the d variable

-10t = -2000

→ Divide both sides by -10 to find the cost of one television

t = 200

→ Substitute t = 200 back into 4t + d = 1250

800 + d = 1250

→ Minus 800 from both sides to isolate d

d = 450

Please help me! I’ve been trying to find this for an hour );

Answers

Answer:

I got (4x+3)(3x+1)

Hope I help Please mark me BrainIIest please and thank you :)

Step-by-step explanation:

5. Mrs. Hoskins is going to plant her new
gorden. She purchases 4 tomato plants for
$2.59 each, a package of watermelon seeds
for $1.87, and adapeno plant for $3.88. How
much will Mrs. Hoskins spend on seeds and
plants for her new garden?

Answers

She would spend $16.11 dollars on her new garden.


The solution is $ 16.11

The total amount of money spend by Mrs.Hopkins on seeds and plants is given by the equation A = $ 16.11

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the cost of each tomato plant be = $ 2.59

The number of tomato plant = 4

The cost of 4 tomato plant = 4 x 2.59

The cost of 4 tomato plant = $ 10.36

Now ,

The cost of watermelon seeds = $ 1.87

The cost of adapeno plant = $ 3.88

So , the equation will be

The total amount of money A = cost of 4 tomato plant + cost of watermelon seeds + cost of adapeno plant

Substituting the values in the equation , we get

The total amount of money A = 10.36 + 1.87 + 3.88

The total amount of money A = $ 16.11

Therefore , the value of A is $ 16.11

Hence , the total amount of money is $ 16.11

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Is this a function please help I’m failing

Answers

Answer:

No

Step-by-step explanation:

This relation is not a function. This line has repeating x-values, it only has one so each y-value cannot have a unique x-value. For this reason, no vertical line will ever be a function.  

solve
[tex]2x + 5 = 12[/tex]


Answers

Answer:

x=3.5

Step-by-step explanation:

subract 5 on the other side, than divide by 2

What is the degree of the polynomial, 2y23+3x25-16x26?


25


23


26


16

Answers

Degree of polynomial is largest sum of a monomial in the polynomial.
In this case it would be 26

Convert 0.1 lb/day to oz/week

Answers

1 pound = 16 ounces

1 week = 7 days

0.1 x 7 = 0.7 pounds per week

0.7 x 16 = 11.2 ounces

0.1 lb/ day converts to 11.2 ounces / week

please write $703.00 in words

Answers

Answer:

seven hundred and three dollars

Step-by-step explanation:

Answer:

seven hundred three

Step-by-step explanation:

just read it in hundreads

Plzzzzzzzzzzzzzzzzzzzzzzzz help

Answers

Answer:

Step-by-step explanation:

For number 1 the rate of change is 12 per 1  and for number 2 b is linear.

Please help me will give brainliest for the person that answers it correctly.

Answers

I believe to do so you:

Plot one point in the center of the page.

Then since 3 is the same as 3/1

Place another point up 3 right 1

Answer:

This graph has a slop of 0

Step-by-step explanation

see the included picture of the graph

88.47 feet converted into the nearest sixteenth of an inches is

Answers

Answer:

1,061.64

Step-by-step explanation:

Im sorry if this is wrong

find the slope of the line on the graph. write your answer as a fraction or a whole number, not a mixed number or decimal.​

Answers

the slope of the line on the graph is 1
Answer: 1
Step by step

The ratio of caretakers to childeren is _:_. If 24 more children are added, they should hire _ more caretakers to maintain the ratio of caretakers to children.

Answers

Answer:

The first is 1:6 and the second one is 4

Step-by-step explanation:

The APR on my credit card is 16.8%. What is the monthly interest rate?

Answers

To find the monthly interest rate, simply divide the APR by 12. I think the monthly interest rate is 1.4%

Options
- positive
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-undefined

Answers

The slope of the line is 0 since in the graph, the y intercept stays at a certain point throughout

What is 5/8 + 1/2 equal

Answers

Answer:

9/8

Step-by-step explanation:

1/2 = 4/8

5/8 + 4/8 = 9/8

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