Ahmed sells different types of cake in his shop.
The cost of each cake depends on its type and its size.
Every small cake costs $x and every large cake costs $(2x + 1).

The number of small cherry cakes that can be bought for $4 is the same as the number of large
cherry cakes that can be bought for $13.
Find the cost of a small cherry cake.

Answers

Answer 1

Answer:

$0.80

Step-by-step explanation:

Let y be the number of cakes that can be bought then...

xy=4

y(2x+1)=13

Distribute the y to each term in the parentheses...

y(2x)+y(1)=13

2xy+y=13

xy=4

Multiply the second equation by 2...

2xy+y=13

2xy=8

Solve the equation using elimination (subtract the two equations and eliminate 2xy)...

y=13-8=5

Now, plug 5 back in for y to solve for x...

xy=4

5x=4

Divide both sides by 5

x=$0.80


Related Questions

In the rectangle below, AC has a length of 28 units. What is the length of DE?
D
A
LD
O A. 56 units
O B. 21 units
O C. 28 units
D. 14 units

Answers

Answer:

D. 14 units

Step-by-step explanation:

it is a rectangle.

that means both diagonals are equally long.

E is in the middle of of diagonals.

so, since the whole diagonal (AC = DB) is 28 units long, one half of such a diagonal (AE = EC = DE = EB) is then

28/2 = 14 units long.

You open a savings account with a deposit of $1,963. The account as an annual interest rate of
12.7%. How much money will the account have in 2060?
$= 1963 · 1.127'; $184,513.91
B) $ = 1963 · 0.873'; $11.26

Answers

Answer: $184,514.91

Time would be 38 years.

2(5x - 7) = 8x + 15

one solution

b
no solution

c
infinite many solutions

Answers

infinite many solutions

[tex] \sf \: 2(5x - 7) = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf 10x - 14 = 8x + 15[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 10x - 8x = 15 + 7[/tex]

[tex] \: \: [/tex]

[tex] \sf \: 2x = 8[/tex]

[tex] \: \: [/tex]

[tex] \sf \: x = \cancel\frac{8}{2} [/tex]

[tex] \: \: \: [/tex]

[tex] \boxed{\sf \: x = 4}[/tex]

Hope Helps~

Chen bought a 20-foot chain for $36.50. What is the unit rate of price per foot?

Answers

About 1.83. You would set up the equation like this

How many inches smaller is a 6.17 inch worm than a 10.63 inch worm?

Answers

The worm is approximately 4.46 inches smaller than the other one.

Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.
A
15 cm
B
8 cm
C
D

Answers

Answer:

AB and CD would be 30

AC and BD would be 16

Step-by-step explanation:

The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.

Old MacDonald had a farm with some raspberry bushes. During the summer 5 of the bushes died from the heat. Each bush produces 6 pounds of raspberries in the fall. MacDonald gathered 96 pounds of raspberries that fall. How many bushes did he have before summer?​

Answers

96/6=16
16+5=21
he had 21 bushes during the summer

Answer:

21

Step-by-step explanation:

5 bushes ×6 pounds is =30 pounds

30pounds + 96pounds = 126pounds

126pounds ÷6 = 21bushes

Old Macdonald had 21 bushes before summer

A father is twice as old as his son and the sum of their ages is 75. How old is the
father?

Answers

Answer: 50

Let's first of all assume the son's age as x.

So,

Father's age will be 2x i.e. twice as old as the son

Given that,

Sum of their ages = 75 years

So,

x + 2x = 75

3x = 75

x = 75/3

x = 25

Hence,

Son's age = x = 25 years

Father's age = 2x = 2 * 25 = 50 years

30 discs coloured green or yellow are placed in a bag so that 5/6 of the discs are yellow. What is the ratio of green to yellow discs in the bag?

Select one:
a. 6:5
b. 1:5
c. 5:1
d. 5:6

Answers

the answer is a. 6:5
Answer is 6:5 is correct answer

Graph
2x + y = -1
3x + 2y = -6

Answers

Answer:

graph below

Step-by-step explanation:

What would be the total cost of purchasing the number of shirts needed to use your coupon—after your coupon is applied and a 7. 5% sales tax is charged on the purchase?.

Answers

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

What is the percentage?

The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.

The discount is 25%.

The total price before the coupon is $50.

The sale tax is 7.5%

The cost of purchasing the number of shirts after discount will be

[tex]\rm Cost = 50*(1-0.75 )\\\\Cost = 97.5[/tex]

The cost of purchasing the number of shirts after the sale will be

[tex]\rm Cost = 37.5*(1.075)\\\\Cost = 40.3125[/tex]

The cost of purchasing the number of shirts after discount and sale tax is $40.3125.

More about the percentage link is given below.

https://brainly.com/question/8011401

Which expression is equivalent to 24a-8b6c4/6a-4b-2c16 for all values of , , and where the expression is defined?

Answers

Answer:

I would choose the second one

Step-by-step explanation:

In the diagram below , TR and PS intersect at Q to form
four angles. The diagram is not to scale.

Use the information in the diagram to calculate
each value

Answers

Check the picture below.

why do we have to learn math

Answers

Math is not present only in exercises of  school, but it is present in day-to-day life of society. For example, math can be used to:

   • pay your bills;

   • go to supermarket;

   • go to restaurant;

   • make a cake or a favorite dish ;

   • play music;

   • read time in a watch;

   • take a medication;

   • write a code for an app mobile.

A great advantage is that numbers are universal, thus the number are the same independent of your location.

Mathematics

It is the science that relates everyday practices and nature to human reasoning and numerical logic.

Learn more about  mathematics here:

https://brainly.com/question/1146295

What would you make the size of one of the sides of a right triangle if its other side is 12cm and the hypotenuse is 20cm?

A triangle has the three sides of 2cm, 6cm, and
[tex] \sqrt[2]{10} cm[/tex]
is it a right triangle-yes or no​

Answers

Step-by-step explanation:

1. 400-144 = 256

unknown side = 16 cm

2.

√10 = 3.16

the biggest side is hypotenuse. assuming 6cm is the hypotenuse.

4+10= 14, which is different From hypotenuse. so it's not a triangle

I WILL MARK BRAINLIEST
pls, help me with this. I'm Lost

Answers

Answer:

f(x)=2x−5 if x≤−3

Since the value of x is -3, the first function will be the correct option.

Step-by-step explanation:

The given function is -

f(x)=2x−5 if x≤−3

f(x)=−3x+4 if x>−3

Now we have to evaluate f(-3).

Since we have to calculate the value of f at x = -3, we have to choose the first function.

That is f(x) = 2x - 5.

Hence,

f(−3)=2∗(−3)−5=−6−5=−11

Therefore we have the value

f(−3)=−11

Since the domain of the function is divided into two parts, we have to choose any one function for a given value of x,

For values of x less than or equal to -3, we will use the first function. That is,

f(x)=2x−5 for all x∈(−∞,−3]

And for values of x greater than -3, we will use the second function. That means,

f(x)=−3x+4 for all x∈(−3,∞)

So far I’m 3/3 but i don’t know this one

Answers

Answer:

D

Step-by-step explanation:

Your are right i think?

The answer is C. I hope this helps! :)

geometry! will give brainlist!!

Answers

KA would be 24 because QA is half of 16, so QA would be 8

A computer repair shop charges a flat rate of $50 plus $35 per hour spent repairing each computer. How much will the repair shop charge if the shop does 2.5 hours of work?

Answers

So we know no matter what, there will be a flat charge of $50, and then $35 for ever hour

Since it is 2.5 hours of work, it will cost 35 * 2.5, but we need to include the flat rate so we get the expression

50 + (35*2.5) = 50 + 87.5 = $137.50

solve for x. pls help​

Answers

Answer:

Step-by-step explanation:

5)50=x+59 => x=-9

6)x+77=70 => x=-7

7)x+123=115 => x=-8

8)11x-1=10x+10 +> x=11

9)120+5x+10=180 => 5x=50 =>x=10

10)125=x+134 => x=9


The picture below will help you to understand this question better.


Can anyone help me please, and quickly

Answers

Answer:

y=10x

Step-by-step explanation:

The line is going up 10 units per x coordinate. It should be y=10x. Even though the y=mx+b exists as the method but there is no b coordinate.

Can someone please help me with this ty!

Answers

Answers:

first box = 240second box = n+p

Explanation:

For the first box, we add the two values 90 and 150 to get 240.

The same goes for the second box as well, except we cannot combine n and p together. We leave it as n+p. If we knew what numbers replaced n and p, then we could simplify further.

The function f(t) = 880(0.1) represents the change in a quantity over t
hours. What does the constant 0.1 reveal about the rate of change of the
quantity?

Answers

Answer:

Step-by-step explanation:

the function is decaying exponentially at a rate of 90%

0.1-1=0.9 x100 =90 and it’s decaying because r (0.1) is less than one

help i am stuck on a question and i still dont know how to do it

Answers

Answer:

i think it is 1/26

Step-by-step explanation:

Answer:

[tex]\frac{1}{26}[/tex]

Step-by-step explanation:

There are 26 letters in the alphabet. The computer chooses randomly, so everytime it picks a letter, out of all the 26 there is only one first letter of your name.

So, there should be a

[tex]\frac{1}{26}[/tex]

chance that the first letter in your name will be picked.

Hope this helped! Please tell me if I'm right or not, and sorry I didn't go in depth. <3

L=32 cm , w = 32 cm how do I solve this please help

Answers

You needed to do q and a questions about the same as in the morning

Answer the question correctly

Answers

Answer:

1,152 (Yes, I know it seems like a lot but it’s correct)

Step-by-step explanation:

To find this answer, we need to do 32x36

Whenever you have a problem like this, you have to multiply all your different variables/factors in which in this case is 32 and 36

When you do this, you get 1,152 so that’s your answer!

Hope this helps and please award brainliest if possible!

Answer:

1,152

Step-by-step explanation:

It is because 36 pencils and 32 students so you multiply and get 1,152

Evaluate the function

Answers

It should be -101. Just plug in 9 into x so it would be like f(9)= 9^2-20. Which equals -101

Answer:

  -101

Step-by-step explanation:

Put 9 where x is, and do the arithmetic.

  f(x) = -x² -20

  f(9) = -9² -20 = -81 -20

  f(9) = -101

Is 690,269 divisible by 9? Yes or No?
False, But I do not know why, I do not know whether it is false or not, but I think it is false.

Answers

Answer:

False.

Step-by-step explanation:

It is false because when dividing an odd number by an odd number, it usually isn't divisible. In this case, 690,269. Is an odd number, because the last number, 9, is odd, which makes the whole thing odd. So, odd divided by odd never turns out well. (By the way the answer is 76,696.5555556).

Solve 2(n+17)/8 = 3/8. Show your work

Answers

2(n+17/8 equals 3/8 solution -31/2 =-15.5

Answer:

n=-31/2 or -15 1/2

Step-by-step explanation:

reduce the numbers

2*n+17/4=3/8

n+17/4=3/8

8(n+17) =17

8n+136 =12

8n=12-136

8n=-124

Mrs. Thomas car averages 23 miles per gallon. How many gallons of gasoline will she need in order to make the round trip ? If the price of gasoline is $2.13 per gallon, what is the cost of the gasoline for the entire trip?

In addition to paying for the gasoline, Mrs. Thomas must also pay $13.92 fo her lunch and $32.98 for her dinner. What is the total amount of her meal expenses?

a. What is the total amount of her gasoline and meal expenses?
b. What operation did you use to figure it out ?

Answers

Answer:

a. $70.43

b. 23.43 + 13.92 + 32.98 = t (UNSURE)

Step-by-step explanation:

Since Mrs. Thomas is driving 231 miles using 23 miles per gallon, let's start by dividing 231 by 23

[tex]\frac{231}{23} = 10.043....[/tex]

We need to round 10.043... to 11 because you can't get part of a gallon.

Now, we need to multiply 2.13 by 11 to get the total amount of money for gasoline.

[tex]11 * 2.13 = 23.43[/tex]$

We also have the aditional meal expenses, which are $13.92 and $32.98.

We can use an equation to solve. Our total amount will be represented by t.

[tex]23.43 + 13.92 + 32.98 = t[/tex]

[tex]t = 70.43[/tex]

Hope this helps! Part b seems a bit confusing. I'll fix my answer if you could clarify, like if I do "communative property" or write equation. :))

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