A cafe sells cakes and scones.
On Tuesday, the ratio of the number of cakes sold to the number of scones sold was
5:2
On Tuesday, the cafe sold 80 scones.
How many cakes were sold on Tuesday?

Answers

Answer 1

Answer:

200 cakes

Step-by-step explanation:

1) divide 80 by 2 to get 40

2) times 40 by 5 50 get 200

answer is 200 cakes sold on Tuesday

Answer 2

On Tuesday, the cafe sold 200 cakes which is the ratio of the number of cakes sold to the number of scones sold was 5:2.

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other. Proportions are represented by the symbols "::" or "=".

We have been given that the ratio of the number of cakes sold to the number of scones sold was 5:2, on Tuesday.

On Tuesday, the cafe sold 80 scones.

Let's assume that x number of cakes sold on Tuesday

According to the given condition, the proportion would be

5  cakes : 2 scones = x cakes : 80 scones

⇒ 5/2 = x /80

Apply the cross multiplication,

⇒ 5 × 80 = 2x

⇒ 400 = 2x

⇒ 2x = 400

⇒ x = 400/2

⇒ x = 200

Therefore, on Tuesday, the cafe sold 200 cakes.

Learn more about the proportion here:

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Related Questions

Which expression is equivalent to the given expression? 10q + 5

Answers

Answer: i think the answer is b

Step-by-step explanation:

think u

Plz help due tomorrow

Answers

Answer:

15/16

Step-by-step explanation:

5×3=15

4×4=16

if they're two - you count them +

(my English is not very good :( )

5x3=15 4x4=16 those should be good

I WILL GIVE BRANIST plz help me

Answers

Answer:

10/8

Step-by-step explanation:

What you should do is awfully simple. Multiply 2 by 5 and put the product over 8.

(2 * 5)/8

10/8

The problem does say to leave my answer as an improper fraction, so 10/8 is the final answer.

A fish tank has 150 gallons of water and is being drained at a rate of 1/2 gallon each second. A fish tank has 120 gallons of water and is being filled at a rate of 1/4 gallon each second. After how many seconds will the ywo fish tanks have the same amount of water?

Answers

Answer:

40! Seconds

Step-by-step explanation:

Calculation for After how many seconds will the two fish tanks have the same amount of water

First step

Based on the information given let the equation be :

150-1/2x=120+1/4x

Second step

Now let solve for x which means that x will be the number of second by multiplying both side by 4

4(150-1/2x)=4(120+1/4x)

=600-2x=480+x

Third step

Let Add 2x on both side

600=480+3x

Third step

Let Subtract 480 on both side

600-480=480-480+3x

120=3x

Last step is to divide both side by 3

120/3=3x/3

40=x

Hence:

x=40 seconds

Therefore After 40 seconds the two fish tanks will have the same amount of water.

6. Francine lives 9/12 mile from school. What is the distance from school
written as a decimal?
A. 12.9
B. 7.5
C. 9.12
D. 0.75

Answers

The answer is D. 0.75

What is the measure of ∠J?

Answers

Answer:

6 cm

Step-by-step explanation:

what are the next 2 terms in the sequence

Answers

Answer:

4 1/4 and 4 3/4

Step-by-step explanation:

its adding 2/4 each time

Answer:

4.25 and 4.75

Step-by-step explanation:

just add 0.50

The polynomial 5x — 4x² + 3 — 2x³ is in standard form.

True or False.

Answers

Answer:

False.Answer = -2x³ - 4x² +5x +3

MARK ME AS A BRAINLIST AND FOLLOW ME

The answer?
A-(5,-3)
B-(2,0)
C-(8,0)
D-(-3,5)

Answers

The answer is clearly A

this is math pls help 3x + 2(5x − 7)

Answers

Answer: 13x - 14

Step-by-step explanation:

3x + 10x - 14

13x -14

Answer:

13x-14

Step-by-step explanation:

A plane started on the ground at ground level near the ocean. Upon taking off it climbed 9000 meters and leveled off. At the same time a submarine left from the same shoreline. It dove 250 meters down into the ocean. How many meters are there between the plane and the submarine.

Integers

Answers

Answer:

There is 9250 meters between the plane and the submarine.

Step-by-step explanation:

9000 above

250 below

9000+250= 9250 between the two vehicles

Giving brainliest


Math!!

Answers

Answer: Option B
hope this helps!!

Answer:

B

Step-by-step explanation:

Help please will mark brainliest

Answers

Answer:

False

Step-by-step explanation:

Line a

y = 5x - 6, it has slope of 5

Line b

x + 5y = 5

Rewrite in slope-intercept form to find its slope:

5y = -x + 5y = -1/5x + 1It has slope of -1/5

Lines have different slopes: 5 and -1/5, therefore are not parallel

Answer:

The answer to the question provided is False.

Step-by-step explanation:

‣We are going to have to find the value of y for line b.

‣We are going to solve its equation.

[tex]x + 5y = 5 \\ \frac{- x \: \: \: \: \: = - x}{ \frac{5y}{5} = \frac{ - x + 5}{5} } \\ y = - \frac{1}{5} x+ 1[/tex]

‣So we have:

[tex]y = 5x - 6 \\ and \\ y = - \frac{1}{5} x + 1[/tex]

‣Remember that a slope is parallel to another slope if it has the same slope.

‣A slope is perpendicular to another slope if it has a negative reciprocal.

‣The slopes we have don't have the same slope, but they are perpendicular.

Please answer this questions step by step​

Answers

Answer:

(a) When a = 4 and b = -5,  a² + b² - a·b = 61

(b) When a = 4 and b = -5,  a³·b + a·b² = -220

(c)  [tex]When \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) When a = 4 and b = -5, (a + b)² - (a - b)² = 82

Step-by-step explanation:

The question relates to evaluation of expressions, given the values of the variables, "a" and "b"

Where;

a = 4 and b = -5

(a) For a² + b² - a·b, we have;

a² + b² - a·b = 4² + (-5)² - 4 × (-5) = 16 + 25 + 20 = 41 + 20 = 61

(b) For a³·b + a·b² we have;

a³·b + a·b² = 4³·(-5) + 4·(-5)² = 64 × (-5) + 4 × 25 = -320 + 100 = -220

(c) For [tex]\dfrac{a - b}{a + b} + a -b[/tex], we have;

[tex]\dfrac{a - b}{a + b} + a -b = \dfrac{4 - (-5)}{4 + (-5)} + 4 - (-5) = \dfrac{4 + 5}{4 -5} + 4 + 5= \dfrac{9}{-1} + 4 + 5 = -9 + 4 + 5 = 0[/tex]

[tex]\therefore when \ a = 4 \ and \ b = -5, \ \dfrac{a - b}{a + b} + a -b = 0[/tex]

(d) For (a + b)² - (a - b)² we have;

(a + b)² - (a - b)² = (4 + (-5))² - (4 - (-5))² = (4 - 5)² - (4 + 5)² = (-1)² - 9² = 1 + 81 = 82

When a = 4 and b = -5, (a + b)² - (a - b)² = 82

pls help i will give brainliest

Answers

Answer:

the thrid one

Step-by-step explanation:

The first one and the third one

ughhhhhhh help again please!!!

Answers

Answer:

90 degrees

Step-by-step explanation:

Assuming that this polygon is a square, x would be 90 degrees. In a square, all angles are right angles.

6. Simplify the expression 2x + 8. when x=4​

Answers

Answer:

16

if you are happy with my answer, please give brainliest :)

Step-by-step explanation:

Plug in:

8+8

Answer:

16

Step-by-step explanation:

2 × 4 = 8

8+8= 16

your answer is 16 when x equals 4

In a relay race, Aisha ran 1 and ¾ of a mile and Paula ran 1 and 5/12 of a mile. Who ran farther?

Answers

Answer:

Aisha ran farther

Step-by-step explanation:

Aisha - 1 9/12

Paula - 1 5/12

Make the denominator the same

Factor out the GCF from 40x2 −10x

Answers

Answer:

10x (4x - 1)

Step-by-step explanation:

The GCF we can factor out is 10x.

40x²/10x = 4x

-10x/10x = -1

the answer is 10x (4x-1) let me know if you need me to explain

WILL MARK BRAINLIST PLSSSSSSSSS

Answers

Answer:

Answer

Step-by-step explanation:

I believe it is the first or second choice. I believe it is the first choice, but it could be the second one.

Sorry hope it helps.

PLEASE HELP!!

what is true about the graph of the line y= -3x + 4?


a) the line has a slope of 4

b) the line has a slope of -4

c) the line crosses the y-axis below the origin

d) the line crosses the y-axis above the origin

Answers

Answer:

d) the line crosses the y-axis above the origin

Step-by-step explanation:

your welcome

The solution to a system of linear equations is (0, 4).
One of the linear equations in the system is
y = 8x +4.

Which equation could be the other linear equation in the system?
• y=8
• y= 4.0
• y = 80
• y=4

Answers

Its y=4 the answer for this question

A system of equations is: x = 10 and 3x + 5y = 20. In the system of equations, what is the value of y?

Answers

Answer:

2-

Step-by-step explanation:

[tex]x = 10 \\ 3(10) + 5y = 20 \\ 30 + 5y = 20 \\ 5y = - 10 \\ y = - 2[/tex]

Conjecture: Any 2 circles in the plane are congruent. Do you agree or disagree
with the conjecture? If you agree, explain how you know. If you disagree, edit the
conjecture so it will always be true.

Answers

Answer:

Any 2 circles in the plane are similar.

Step-by-step explanation:

No, I disagree.

Any 2 circles in the plane are congruent only when their diameters have equal length.

Any 2 circles in the plane are similar.

Manuel incorrectly claimed that the surface area of the cylinder shown is about 190.0 in.2. Use a formula to find the surface area of the cylinder. Use 3.14 for π. What was his likely​ error?

Answers

The likely error in Manuel's claim is 552.61 in².

We have,

Height = 16 in

Diameter = 11 in

radius = 5.5 in

The surface area of a cylinder.

= 2πrh + 2πr²

= 2 x 3.14 x 5.5 x 16 + 2 x 3.14 x 5.5²

= 552.64 + 189.97

= 742.61 in²

Now,

Manuel incorrectly claimed that the surface area of the cylinder is

190.0 in²

Error = Correct surface area - Claimed surface area

Error = 742.61 in² - 190.0 in²

Error ≈ 552.61 in²

Thus,

The likely error in Manuel's claim is 552.61 in².

Learn more about cylinder here:

https://brainly.com/question/15891031

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Help!!! What is the difference ? (x - 8)/(3x) - (3x)/(x ^ 2)

Answers

Answer:

Given that you're providing only a single term, asking for a difference doesn't make a lot of sense.  I assume you're asking to have the expression simplified?

If so, then it can be reduced to (x - 17) / 3x

Step-by-step explanation:

You can simplify by multiplying both terms each by a different ratio that equals one, but also gives the terms common denominator.  Multiplying the first one by x²/x² and the second by 3x/3x will do that for you.

After that you can group the terms into one fraction and simplify:

[tex]\frac{x - 8}{3x} - \frac{3x}{x^2} \\\\= \frac{x - 8}{3x}\times\frac{x^2}{x^2} - \frac{3x}{x^2} \times\frac{3x}{3x} \\\\= \frac{x^3 - 8x^2}{3x^3} - \frac{9x^2}{3x^3} \\\\= \frac{x^3 - 8x^2 - 9x^2}{3x^3} \\\\= \frac{x - 8 - 9}{3x}\\\\= \frac{x - 17}{3x}\\[/tex]

Answer:

The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Step-by-step explanation:

We need to find the difference: [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

Simplifying to find the difference:

[tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]

x is common in both 3x and x^2 so, we can cancel it out and we get:

[tex]=\frac{x-8}{3x}-\frac{3x}{x(x)}\\=\frac{x-8}{3x}-\frac{3}{x}[/tex]

Now, taking LCM of 3x and x we get 3x, We will multiply 3x with both terms and then solve we get:

[tex]=\frac{x-8-3(3)}{3x}\\=\frac{x-8-9}{3x}\\=\frac{x-17}{3x}[/tex]

It cannot be further simplified, so we get [tex]\frac{x-17}{3x}[/tex] as answer.

So, The difference of [tex]\frac{x-8}{3x}-\frac{3x}{x^2}[/tex]  is [tex]\mathbf{\frac{x-17}{3x}}[/tex]

Find the value of 42 + 6 ÷ 2

Answers

Answer:

The answer isn't 24 the actual answer is 54.

Step-by-step explanation:

PEMDAS!

Bethany walks at a rate of 3 step every 2 seconds at this rate how many seconds will it take Bethany to walk 60 steps

Answers

Answer:

30seconds

Step-by-step explanation:

if it takes 2 seconds to walk 3steps then in 30 seconds she should have walked 60 steps.

Rita collected and stored beads in 4 different bags.the table below shows the number and color of beeds in each bag.

Answers

Answer:

Add the table and i might answer correctly

Step-by-step explanation:

hey may we please see the table? :))

Solve for X:
5x+3x=2(4x-5)-2

Answers

Answer: I got -1, I honest don’t know if i was doing it right so here is my explanation

Step-by-step explanation:

I distributed 2(4x-5)

5x+3x=20x-10-2

Sub 3x for 20x

5x=17x-10-2

Sub -10-2

5x=17x-12

Sub 5x-17x

12x=-12

Divide

Equals -1

Sry it took me a bite

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