Nine identical cakes weigh a total of 20¼ pounds. How much does each cake weigh? Simplify.

Answers

Answer 1

Answer:

[tex]2\frac{1}{4}[/tex]

Step-by-step explanation:

20 1/4 = 20.25

20.25/9 = 2.25

2.25 = [tex]2\frac{1}{4}[/tex]

Each cake weighs 2.25 pounds.

Answer 2

The weight of each cake will be equal to 2(¹/₄).

What is an expression?

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

A mixed expression, also known as a complex fraction, is a fraction that contains a fraction in the numerator, the denominator, or both the numerator and the denominator.

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 Nine identical cakes weigh a total of 20¼ pounds.

20(¹/₄) = 20.25

20.25/9 = 2.25

2.25 = 2(¹/₄).

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Related Questions

I am a trinomial whose leading coefficient is -3 when I'm put in standard form:

A.[tex]2xy-3+5xy^{2}[/tex]
B.[tex]3x^3-3x-3[/tex]
C.[tex]4x^2-3x^4+x[/tex]
D.[tex]x^5y-3x^2y-xy[/tex]

Answers

Answer:

C. 4x² - 3x⁴ + x

General Formulas and Concepts:

Algebra I

Terms/CoefficientsStandard Form: Largest degree to smallest degreeLeading Coefficient: Constant multiplied to largest degree

Step-by-step explanation:

Step 1: Define

A. 2xy - 3 + 5xy²

B. 3x³ - 3x - 3

C. 4x² - 3x⁴ + x

D. x⁵y - 3x²y - xy

Step 2: Rewrite

Rewrite each trinomials into standard form.

A. 5xy² + 2xy - 3

B. 3x³ - 3x - 3

C. -3x⁴ + 4x² + x

D. x⁵y - 3x²y - xy

Step 3: Identify LC

A. has a leading coefficient of 5

B. has a leading coefficient of 3

C. has a leading coefficient of -3 (our answer)

D. has a leading coefficient of 1

Show work for brainly

Answers

Answer:

There are 6 cakes.

Each person can eat 1/2 of a cake.

You need to find how many times you can split 6 cakes into 1/2 of a cake.

Obviously, division is the way to go.

6 ÷ 1/2

When dividing by a fraction, you need to turn both parts into fractions.

6/1 ÷ 1/2

Now you skip the first part.

Focus on 1/2

Flip the fraction: 2/1

Now multiply the two fractions together

6/1 *2/1 = 12/1

Therefore 12 people can be at the party.

PLEASE BRAINLIEST

I love the killua profile pic

Answer: 12 people

Step-by-step explanation:

6 total cakes ; everyone eats [tex]\frac{1}{2}[/tex]

6 people would eat 3 cakes because [tex]\frac{1}{2}[/tex] × 6 people = 3 cakes.

However, 12 people would eat 6 cakes because [tex]\frac{1}{2}[/tex] × 12 people = 6 cakes.

PLease answer this question

Answers

Answer:

b- 43%

Step-by-step explanation:

being technical its 42.857142857143% but assuming its round up it would be 43%

Answer:

c. 30%

Step-by-step explanation:

Number of the trees:

12 + 28 = 40

Number of infected is 12, so the percent of infected is:

12/40*100% = 30%

Solve the equation -6(x - 1/2) = 3x + 3 - 9x

Answers

Answer:

um the answer is 0=0 (no cap)

Step-by-step explanation:

hope this helps!

please mark me as brainliest. Thanks!

Answer:

Step-by-step explanation:

Distributive property: a(b +c) =(a*b) + (a*c)

-6(x - 1/2) = 3x + 3 - 9x

[tex]x*(-6) - \frac{1}{2}*(-6) = 3x - 9x + 3\\\\[/tex]

[tex]-6x + 3 = -6x + 3\\[/tex]

So, there are infinity solutions

Solve this system of equations:
y=-3x + 13
y=-2x + 1
Enter your answer as an ordered pair (x, y).

Answers

Answer:

The answer is (12,-23)

HELLLLP MEH, WILL MARK BRAINLIEST, NEED ALL Q'S ANSWERED

Answers

Answer:

1. is 4

2. is 3

3. is 10

4. is 13

Step-by-step explanation:

Hope this helpss!!

I have 108$
If a pc costs 1,481$
And I earn 15$ a week
How long will it take until I get pc? (Please help!)

Answers

Step-by-step explanation:

$1481 - $108 = $1,373 still to needed to purchase PC

$1,373/ $15 = 91.533...

It will take 92 weeks.

92 weeks because the PC costs 1481 but you already have 108 is you subtract and after that the answer you get you divide it by 15 because that is how much money you make a week and it will show as a decimal so we round up

help pls ill mark as brainliest if correct

Answers

wouldn’t it be 14.8 above 8? like 14.8/8 i don’t know i’m just taking a wild guess

Step-by-step explanation:

5 miles =8 km

? miles=74 km

[tex] x \: miles = \frac{74 \times 5}{8} \\ = 46.25 \\ \frac{5 \: miles}{8 \: km} = \frac{46.25 \: miles}{74 \: km} \\ [/tex]

What would you multiply by to increase a number by 4%?

Answers

Answer:0.04

Step-by-step explanation:4% is just 0.04. Example I multiply 2 by 4% i get 0.08. I multiply 2 by 0.04 i get 0.08. Hope this helped.

42/48 simplify and trlurn to decimal​

Answers

0.875
hope that helps
Both numerator and denominator are divisible by 6 so can simply to 7/8
1/8 is 0.125
0.125x7 is 0.875

30 POINTS PLEASE HELP
What is the value of x?

Answers

Answer:

x = 27

Step-by-step explanation:

ΔDQC ≈ ΔDBR

set up proportion based on corresponding sides

39/x = 65/18+x

cross-multiply:

39(18+x) = 65x

702 + 39x = 65x

702 = 26x

x = 27

The following table contains the rate of commission, number of items sold,
and cost of each item for four different salespeople.
Salesperson
Rate of
commision
Number of
items sold
Cost of
each item
Felix
7.25%
9
$60
Helen
7.50%
12
$50
Reid
8.25%
10
$40
Sidney
7.75%
6
$90
Assuming that each salesperson earned commission on all items he or she
sold, who earned the most in commission?

Answers

Answer:

Helen

Step-by-step explanation:

Just did test

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To calculate the commission earned by each salesperson, we need to multiply the rate of commission by the total sales amount.

The total sales amount is the product of the number of items sold and the cost of each item.

For Felix:

Commission = (Rate of commission) x (Total sales amount)

= 7.25% x (9 x $60)

= $39.15

For Helen:

Commission = (Rate of commission) x (Total sales amount)

= 7.50% x (12 x $50)

= $45.00

For Reid:

Commission = (Rate of commission) x (Total sales amount)

= 8.25% x (10 x $40)

= $33.00

For Sidney:

Commission = (Rate of commission) x (Total sales amount)

= 7.75% x (6 x $90)

= $39.15

Therefore,

Both Felix and Sidney earned the same amount of commission, which is $39.15.

Helen earned the most commission, which is $45.00.

Learn more about expressions here:

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What is /-3/*-6?

When you answer could you please explain to me why the answer is that?

Answers

|-3|=3 right?
Then it is
3*-6=-18

Please answer!!
What is the perimeter of parallelogram WXYZ?
The perimeter is (Type an integer or a decimal.)

Answers

Answer:

196

Step-by-step explanation:

3.8
3.707
3.71 3.83
3.83 3.809
3.89
Least to greatest

Answers

Answer:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89

Step-by-step explanation:

3.707, 3.71, 3.8, 3.809, 3.83, 3.83, 3.89


3.707
3.713.83
3.8
3.809
3.83
3.89

Drag the appropriate answer from the choices given into the box provided.
Allen bought 2 notebooks for $8.75 each and one
Textbook for $74.95. If the sales tax was 7%, the total
of Allen's purchase was
$83.70
$89.56
$92.45
$98.92

Answers

Answer is $83.70 if I’m wrong sorry

Tell whether a triangle can have sides with the
given lengths. Explain, why or why not.
3x + 2, x?, and 2x when x = 4

Answers

Answer:

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

Step-by-step explanation:

Given

Shape: Triangle

Dimension: 3x + 2, x^2 and 2x

[tex]x = 4[/tex]

Required

Determine if it has equal sides

To do this, we simply substitute 4 for x in the given dimensions

3x + 2

[tex]3x + 2 = 3 * 4 + 2[/tex]

[tex]3x + 2 = 12 + 2[/tex]

[tex]3x + 2 = 14[/tex]

x^2

[tex]x^2 = 4^2[/tex]

[tex]x^2 = 16[/tex]

2x

[tex]2x = 2 * 4[/tex]

[tex]2x = 8[/tex]

[tex]3x+2 \ne x^2 \ne 2x[/tex] for [tex]x = 4[/tex]

please help its the last question will give brainliest

Answers

Answer:

94

Step-by-step explanation:

circumference of a circle is 2πr or πd with r being the radius or d being the diameter.

30 meters is the diameter, and 30π ≈ 94.2

If an ordered pair was added to the table, which of the following pairs would result in the table becoming not a function. (-3, 6) (0, 8) (3, 20) (8, 4) (-10, 8)

(A) (– 8, 8) (C) (8, 3) ( B) (6, 3)(D) (– 3, 4)
help please

Answers

Answer:

the answer is a I just took the test and its right

Step-by-step explanation:

simplify 4 to the 11th power over 4 to the -8th power

Answers

Answer:

274878070200

Step-by-step explanation:

4 to the power 11 = 4194304

4 to the power -8 = 0.00001525878

4194304/0.00001525878 = 274878070200

8 (1/2x -1/4) > 12-2x

Answers

Answer:

x > 7/3

Step-by-step explanation:

Distribute by 8 first

4x - 2 > 12 - 2x

6x - 2 > 12

6x > 14

x > 14/6. or x > 7/3

(c) Paul uses the function y = 7x + 30 to model the situation. What score does Paul’s model predict for 3 hours of homework?

(d) Describe what the number 30 in Part (c) mean in the context of the situation?

Answers

Answer:

(c) Paul's model predicts a score of 51 for 3 hours

(d) 30 represents the y intercept

Step-by-step explanation:

Given

[tex]y = 7x + 30[/tex]

Solving (c): What is y when x is 3

Substitute 3 for x in [tex]y = 7x + 30[/tex]

[tex]y = 7*3 + 30[/tex]

[tex]y = 21 + 30[/tex]

[tex]y = 51[/tex]

Solving (d): What does 30 represent

An equation is represented as:

[tex]y = mx + b[/tex]

Where

[tex]b = y\ intercept[/tex]

Compare: [tex]y = mx + b[/tex] to [tex]y = 7x + 30[/tex]

[tex]b = 30[/tex]

This implies that 30 represents the y intercept

Expand the expression: 3.5 (- 3n + 4) using the Distributive Property

Answers

Answer:

-10.5n + 14

Step-by-step explanation:

What are the other two representations of this ratio 15 to 3

Answers

Answer:

you can answer it like 15 to 3 or

15:3

Isn’t It like 15:3 Ion Kno I’m not sure

3y = x -4
5x - 6y = 8
How many solutions does the system have?
O One solution
O No solution
0 Infinitely many solutions

Answers

Answer:

can you pls show more......

Step-by-step explanation:

i think there is one solution

A certain college enrolled 29,000. It was reported 54 percent were female and 46 percent were male. In addition 61 percent were over the age of 25. How many students were in each category if 30 percent of those over the age if 25 were male

Answers

Answer:

Step-by-step explanation:

Total number of students = 29000

Number of female = 54% of 29000

54/100 x 29000 = 15660 students

Number of male = 46% of 2900

46/100 x 29000= 13340 students

61% of 29000 are over 25 years

61% of 29000= 61/100 x 29000

= 17690 students

Of the pupils over the age of 25, 30% are male

30% of 17690 students are male

30/100 x 7690 =5307 students

The number of females over the age of 25 = 17690 -5307

17690 - 5307 = 12383 female students.

please help me i would really like the help

Answers

Answer:

HL

Step-by-step explanation:

Since the ray BD bisects angle ABC, we know angle ABD and angle CBD are congruent through the definition of an angle bisector. Segment AD and segment CD are also congruent because they are equidistant from the bisector. Lastly, segment BD is congruent to segment BD through the reflexive property of equality. This gives the triangles congruency through HL theorem.

if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?​

Answers

Answer:

60! hope this helps!

Step-by-step explanation:

The expression 3(-2m + 5) - 6(-4m - 2) can be written in the form am + b. What is the value of a + b?

Answers

Answer: 45

Step-by-step explanation:

3(-2m + 5) -6(-4m - 2) =

-6m + 15 + 24m + 12=

18m + 27

18= a 27= b 27 + 18= 45

The value of the expression a + b is 45.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

First, we can simplify the expression using the distributive property:

3(-2m + 5) - 6(-4m - 2) = -6m + 15 + 24m + 12

Combining like terms, we get:

18m + 27

So, a = 18 and b = 27, which means:

a + b = 18 + 27 = 45

Therefore,

The value of a + b is 45.

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A spinner is shown.

The arrow on the spinner us spun once. What is the probability of spinning of spinning a 2, 3, 5, 7, or 11?

Answers

Answer:

62.5

Step-by-step explanation:

5/8=.625

0.625*100=62.5

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