Troy has 5/6 ounces of sprinkles to make cupcakes. The recipe uses 1/4 ounce per dozen of cupcakes. Write an expression which can be used to determine how many dozens of cupcakes Troy can make.

Help please? :)​

Answers

Answer 1

Answer:

[tex]\frac{\frac{1}{4}}{1}=\frac{\frac{5}{6}}{x}[/tex]

Step-by-step explanation:

Per = 1

[tex]\frac{1}{4}[/tex]

So, if we were to solve:

[tex]\frac{1}{4}=\frac{5}{6x}[/tex]

[tex]\frac{1}{4}\cdot \:6x=1\cdot \:5[/tex]

[tex]\frac{3}{2}x=5[/tex]

[tex]\frac{3}{2}x\cdot \:2=5\cdot \:2[/tex]

[tex]3x=10[/tex]

[tex]\frac{3x}{3}=\frac{10}{3}[/tex]

[tex]x=\frac{10}{3}[/tex]

Troy can make [tex]\frac{10}{3}[/tex] dozen of cupcakes.


Related Questions

36 ÷ ____ = 9 15 points

Answers

Answer:

36 ÷ __4__ = 9

Step-by-step explanation:

36/9 = 4, so

36 ÷ __4__ = 9

Which equation choice could represent the graph shown below?

Answers

it has to be an equation that adds up to an exponent of 3

Evaluate the following expression 6⋅2+6^4 khan academy

Answers

Answer:

6.2+6^4

6.2+1.296

7.496

Check whether (19/9, 15/3) is
a solution of the equation 3a + b = 8 or
not where (a,b) is co-ordinate point.​

Answers

Answer:

No, it is not a solution to the equation.

Step-by-step explanation:

If [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is a solution of the equation, the left-hand side (LHS) of the equation would equal to the right-hand side (RHS) of the equation.

3a +b= 8

When a= [tex] \frac{19}{9} [/tex], b= [tex] \frac{15}{3} [/tex],

LHS

= [tex]3( \frac{19}{9} ) + \frac{15}{3} [/tex]

[tex] = \frac{19}{3} + \frac{15}{3} [/tex]

[tex] = \frac{34}{3} [/tex]

[tex] \frac{34}{3} ≠8[/tex]

Since the left-hand side is not equal to the right-hand side of the equation, [tex]( \frac{19}{9} , \frac{15}{3} )[/tex] is not a solution of the equation.

Given equation is 3a+b = 8

Given point = (19/9,15/3)

Put a = 19/9 and b = 15/3 in LHS of the given equation then

⇛ 3(19/9)+(15/3)

⇛(19/3)+(15/3)

⇛ (19+15)/3

⇛ 34/3 ≠ 0

LHS ≠ RHS

Given point not satisfies the given equation

Therefore, it is not the solution of the given point.

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What is the value of a in the equation 3a + b = 54, when b = 9? 15 18 21 27..

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Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”

Answers

Answer:

You already know the answer is -108

Step-by-step explanation:

There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us

x^2 - 6x +9

Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So

-54x + -54x is the -108x term you are interested in.

A knife is 3x the cost of a spoon9 spoons and 12 knives cost £82.80Work out the cost of 1 knife

Answers

The cost of my me knife is $5.52

10 points
13 Jake has a wooden board that measures
8.25 feet long. He cuts the board into
pieces that each measure 0.75 feet so
he can make signs. If Jake earns $15.95
for each sign he sells, how much money
can he earn from the signs he makes
from this board?
a
Your answer

Answers

Answer:

$175.45

Step-by-step explanation:

8.25 / 0.75 = 11

15.95 x 11 = 175.45

26 30 45 43 26 14 28 33 56 29 what is the medain of this data set

Answers

Answer:

26isthemedian

Step-by-step explanation:

Hello could someone help me will name brainliest. No links please

Answers

F is the midpoint of a segment in the diagram

A cyclist travels 4 miles in 20 minutes and then a further 6 miles in 30 minutes without stopping. Calculate the cyclist's average speed in mph.​

Answers

Answer:

11 miles per hr because 10 miles took 50 minutes so add 1 mile and it is 1hr. Which is 11 miles per hr

what percent of 81 is 51​

Answers

Answer:

62.96%

Step-by-step explanation:

do this

51/81 ×100%

Answer:62.953%

Step-by-step explanation:

81 * (%) = 51

% = 51 / 81

% = 62.953

Please help with this question!!!!

Answers

Answer:

what is your question ?

Step-by-step explanation:

The prices of some houses in a neighborhood are shown below: House Price A $120,000 B $130,000 C $140,000 D $150,000 E $1,110,000 Based on the data, should the mean or the median be used to make an inference about the price of the houses in the neighborhood?

Answers

Answer:

The mean

Step-by-step explanation:

The mean would allow you to make an average aka the inference about the price of houses whilst if you take the median, you're just taking the middle number from a  list of numbers and not the average.

Answer: Median

Step-by-step explanation:

Median, because there is an outlier that affects the mean.

Step-by-step explanation:

The outlier is 1,110,000

As you have learned in the lesson, outliers affect means, meaning that you should not use them.

Hope this helped! ❤

Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18. How much money did Josh have left after he purchased his lunch? *

Answers

Answer:

3.27

Step-by-step explanation:

the money he spent in total is 9.53 subtract it to 12.80

The amount of money left after he purchased his lunch is $3.27.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Josh had $12.80 to spend for lunch. For lunch, he purchased two hamburgers that cost $2.75 each, cheese fries that cost $1.85, and a drink that cost $2.18.

The amount of money left will be calculated as,

Money left = 12.80 - [(2 x 2.75 ) + 1.85 + 2.18]

Money left = 12.80 - 9.53

Money left =  $3.27

Therefore, the amount of money left after he purchased his lunch is $3.27.

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Who has the shorter insect?

Answers

Connie does because

On a scale drawing, a statue is 8.3 inches tall. The scale factor is 212. Find the actual height of the statue.

Answers

Answer:

1759.6

Step-by-step explanation:

8.3 multiplied by 212 i think

Using a calculator or otherwise, calculate the exact value of 498.79×14.38. Round your answer to one (1) decimal place.

Answers

Answer:

7172.6

Step-by-step explanation:

A stairway handrail has a rise of 12 feet and a run of 24 feet. What is the slope of the handrail?

Answers

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

2. The area of a rectangle is 721 quare yards, M the length of the rectarije v fards, Wuch enpresion represent
the width of the rectangle in yards?

Answers

Answer:

721/M

Step-by-step explanation:

Length times width equals area so area (721) divided by length/width (M) = the corresponding length/width. (width)

What is the value of z?

Answers

X* = 180*- 125* = 55*
Hence X* = 55*, then Z* = 55*

10. John is mixing paint.He uses black, green and blue in the ratio 6:3: 1. How much of black green and blue paint is needed to make a mixture of paint of 500ml.

Answers

The given ratio becomes 6x : 3x : x.

6x = black paint

3x = green paint

x = blue paint

6x + 3x + x = 500

10x = 500

x = 500/10

x = 50

6x = 6(50) = 300

3x = 3(50) = 150

x = 50

Answer:

300 ml of the black paint.

150 ml of the green paint.

50 ml of the blue paint.

Liz is a jewelry artist selling necklaces at the New Castle Farmers Market. It costs $135 to rent a table at the Farmers Market. The cost of the materials for each necklace is $4.50. Madison is selling the necklaces at $9 each.

The inequality 9n>135+4.50n represents the situation in which Liz makes a profit.

a. Will Liz make a profit if she sells 15 necklaces? Explain how you know.

b. Write an inequality to show the number of necklaces, n, Madison must sell to make a profit.

Answers

Answer:

Step-by-step explanation:

a. no. 9 x 15 = 135, so if she sells more than 15 necklaces, she'll make a profit

b. 50n > 135 + 4.50n

If f(x) = 5^x + 2x and g(x)= 3x-6, find (f + g) (x)

Answers

Step-by-step explanation:

f(x) = 5^x + 2x and g(x)= 3x-6

(f + g) (x)

5^x + 2x + 3x-6

5^x + 5x -6

Please help I’ll give brainliest ASAP

Answers

Answer:

x = 10, theta = 30 degrees

Step-by-step explanation:

i. 6^2 + 8^2 = x^2

36 + 64 = x^2

100 = x^2

10 = x

ii. the angle is 30 degrees, because the opposite side is 1/2 of the hypotenuse.

You could also solve it with the law of sines:

sin(90)/12 = sin(x)/6

Multiply each side by 6

6 * sin(90)/12 = sin(x)

0.5 = sin(x)

x = 30 degrees

Kennyhas$893inasavingsaccount.The interest rate is 8 1/5%, compounded annually.

To the nearest cent, how much interest will he earn in 5 years?

Answers

Principal (P) = $ 893Interest rate (r) = [tex]8 \frac{1}{5} \% = \frac{41}{5} \% = \frac{41}{5 \times 100} = \frac{41}{500} \\ [/tex]Number of times the amount is compounded per time period (n) = 1Time (t) = 5 years.Let the compound interest be I.Therefore,

[tex] \sf \: I = P(1 + \frac{r}{n} {)}^{nt} - P \\ \sf = 893(1 + \frac{41}{500} ) ^{1 \times 5} - 893 \\ \sf= 893 \times ( \frac{541}{500} ) ^{5} - 893 \\ \sf= 1324.30 - 893 \\ \sf = 431.30[/tex]

Answer:

$431.30(approximate value)

Hope you could get an idea from here.

Doubt clarification - use comment section.

what is 5 over 4 in math

Answers

Answer:

An improper fraction

Step-by-step explanation:

In improper fraction is when the numerator (top number) is greater than or equal to the denominator (bottom number)

The quadratic function g(x)=ax^2+bx+c has the complex roots (-7+4i) and (-7-4i)
What is the value of a?
What is the value of b?
What is the value of c?

Answers

Answers:

a = 1

b = 14

c = 65

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

Explanation:

Let's focus on the root x = -7+4i

Add 7 to both sides, then square both sides. Then get everything to one side so 0 is on the other side.

x = -7+4i

x+7 = 4i

(x+7)^2 = (4i)^2

(x+7)^2 = 16i^2

(x+7)^2 = 16(-1)

(x+7)^2 = -16

(x+7)^2+16 = 0

If you were to follow those steps for the other root -7-4i, then you should get the same result. Solving (x+7)^2+16 = 0 leads to the two complex roots -7+4i and -7-4i.

Expand out that expression to get it into standard form

(x+7)^2+16

(x+7)(x+7)+16

x^2+7x+7x+49+16

x^2+14x+65

The equation is now in y = ax^2+bx+c form

a = 1

b = 14

c = 65

If you were to plug those a,b,c values into the quadratic formula, you'll find that it leads to the two given roots -7+4i and -7-4i.

Congruence Criteria for a Parallelogram's two triangles is:

ASA
HL
AAS
SSS

Answers

Answer:

ASA

Step-by-step explanation:

two angles are the same and one side is the same

Fill in the table. What is the distance that David traveled going to his friend’s house and returning home?

Answers

Answer:12 and 12 hope this helps :)

Step-by-step explanation:

Answer:

mark her brialyist i cant spell lol

Step-by-step explanation:

At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?

Answers

5/8 I believe this is the answer
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