Gerald ordered a small pizza, asked for it to be divided into 8 equal slices and ate 3 of them. Sarah also ordered a small pizza asked it to be divided into 24 slices, and ate 6 of them. Who ate more pizza? ( My sister's 6th grade question, please help her)

Answers

Answer 1

The Gerald ordered and ate more pizza than Sarah .

What is fraction?

A fraction having whole numbers for the numerator and denominator. A fraction is a number of the form: ab where a and b are integers and b≠0. It represents the division of two numbers.

Given:

Gerald ordered a small pizza, divided into 8 equal slices and ate 3 of them.

Sarah also ordered a small pizza ,divided into 24 slices, and ate 6 of them.

According to given question we have

Gerald divided into 8 equal slices and ate 3 of them.

=3/8

Sarah divided into 24 slices, and ate 6 of them.

=6/24

=1/4

Multiply with 2 in both numerator and denominator we get,

=1*2/4*2

=2/8

∴3/8>2/8

So, Gerald ate more pizza.

Therefore, the Gerald ordered and ate more pizza than Sarah .

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Related Questions

For Comic Relief Stamford Green School are taking part in a "Bake Off".

Parents are invited to come and buy cakes. 150 parents attend: 70% donate £1 for their cake and the rest donate £2 for their cake. How much money is donated in total?

Answers

Start off with %70 of 150

0.7 • 150 = 105

To find their total donation amount,

105 • £1 = £105

Then we know the rest of the parents account for the last %30 of the attendees

We can find this out by either,

150 - 105

or

0.3 • 150

Either way we end up with 45

45 • £2 = £90

%70 (105) of the parents donated £105

%30 (45) of the parents donated £90

The parents, in total, donated £195

SUPER URGENT!!!

Joel sells ice cream cones at the county fair. He has to rent the equipment for $36 and spend $0.52 on ingredients for each cone. What is the minimum number of ice cream cones Joel must sell at $1.40 each in order to make a profit?

Please explain ALL OF THE STEPS, or your answer is useless. Thanks!!

Answers

Denote by x the number of cones sold or produced.

Denote by C(x) the total cost.

Denote by R(x) the revenue made.

Denote by P(x) the net profit accumulated.

[tex]C_{T}(x)=C_{fixed}+C_{variable} \: \\ C_{T}(x)=36+0.52x[/tex]

[tex]R_{T}(x)=selling \: price \: x \\ R_{T}(x)=1.4x[/tex]

[tex]P(x)=R_{T}(x)-C_{T}(x) \\ P(x)=1.4x-(36 + 0.52x) \\ P(x)=1.4x - 36 - 0.52x \\ P(x)=0.88x - 36[/tex]

If there exists profit, then P(x) has to be positive.

[tex]P(x) > 0 \\ 0.88x - 36 > 0 \\ 0.88x > 36 \\ x > \frac{36}{0.88} \\ x > 40.90909 \\ x = 41[/tex]

Find the GCF of
12 and 54

Answers

6

12 and 54 greatest common factor is 6 because 6 is the highest number you can multiply (besides 18, and 27 in 54) to get 12 and 54!

Answer: GCF = 6

Step-by-step explanation:

The factors of 12 are: 1, 2, 3, 4, 6, 12

The factors of 54 are: 1, 2, 3, 6, 9, 18, 27, 54

Then the greatest common factor is 6.

Calculate the percent increase or decrease between the starting and ending
quantities below. Round your answer to one decimal place.

1) Start: 3 End: 10
2) Start: 9 End: 20
3)Start: 100 End: 85

Answers

The percent increase or decrease of the starting and ending quantities below are:

233%122%-15%

How to find the percent increase?

The percent increase can be found by the formula:

= (End - Start) / Start x 100%

The percent increase of these quantities are:

= (10 - 3) / 3 x 100%

= 7 / 3 x 100%

= 2.3333 x 100%

= 233%

= (20 - 9) / 9 X 100%

= 11/9 x 100%

= 1.222 x 100%

= 122%

= (85 - 100) / 100 x 100%

= -15 / 100 x 100%

= -15%

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from x-2 subtract 4x +9​

Answers

Answer:

I'm pretty sure it is -3x+7

(x-2)-(4x+9)
remove brackets and change signs
x-2-4x-9
-3x-11

The ans will be -3x-11
hope this helped :)


Use natural logarithms to solve each equation.
e x+1=30

Answers

2.4012 is the value of x after solving equation  [tex]e^{x+1}[/tex] = 30 using natural logarithms

We have been asked to solve [tex]e^{x+1}[/tex] = 30 using natural logarithms

⇒   [tex]e^{x+1}[/tex] = 30

⇒ x + 1 = ㏑ 30

⇒ x =  ㏑ 30 - 1

       ≈ 2.4012

What is a natural logarithm?

A number's natural logarithm is its logarithm to the base of the transcendental and irrational number e, which is roughly equivalent to 2.718281828459.

Typically, the natural logarithm of x is denoted by the symbols ln x, loge x, or, if the base e is implicit, just log x. When adding parentheses for clarity, the values ln(x), loge(x), or log (x). In order to avoid ambiguity, this is notably done when the argument to the logarithm is not a single symbol.

The power to which e would need to be raised in order to equal x is the natural logarithm of x.

For instance, e2.0149... = 7.5, thus ln 7.5 equals 2.0149.

Since e1 = e, the natural logarithm of e itself, or ln e, is equal to 1, while the natural logarithm of 1 is 0, since e0 = 1.

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Correct Question

Use natural logarithms to solve each equation.

 [tex]e^{x+1}[/tex] = 30

At a party store, packages of 12 noisemakers are $2 each. Packages of 9 party hats are $15 each. Mia wants to buy equal numbers of noisemakers and hats.

To get that many noisemakers and hats: How many packages of noisemakers does Mia need to buy?
How many packages of hats? Explain.

Answers

3 packs of noise makers, 4 packs of hats. Explanation is in comments

Find the LCM of 2 and 6 using lists of multiples.

Answers

Answer:

6

Step-by-step explanation:

2,4,6,8,10

6,12,18,24

The least number that is on both lists is 6

plss help me with this ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

7x - 2 + 9x - 2 + 2(5x) = 2(5x + 5) + 2(4x)

7x + 9x + 10x - 4 = 10x + 10 + 8x

7x + 9x + 10x - 10x - 8x = 10 + 4

8x = 14

x = 14/8 = 7/4

So, ST = 5*7/4 + 5

           = 55/4

           = 13 3/4

Answer:

ST = 13.75

Step-by-step explanation:

The perimeter of a trapezium is calculated with the following formula:

P = a + b + c + d (a, b: bases, c, d: sides)

The perimeter of a rectangle is calculated with the following formula:

P= 2(a + b) (a: base, b: side)

we will write the following equation to find the length of ST

7x - 2 + 9x - 2 + 5x + 5x = 2(5x + 5 + 4x) first do the inside the parenthesis

2(9x + 5) = 18x + 10

Now,

7x - 2 + 9x - 2 + 5x + 5x = 18x + 10 add like terms on the left side of the equation

26x - 4 = 18x + 10 transfer like terms to the same side of the equation

26x - 18x = 10 + 4 add/subtract

8x = 14 divide both sides by 8

x = 1.75 replace x with this to calculate the lentgh of ST

5x + 5 = 5*(1.75) + 5 and ST = 13.75

Show that at least three of any 25 days chosen must fall in the same month of the year.

Answers

The proof that at least three of any 25 days chosen must fall in the same month of the year holds true because; there are twelve months in a year.

What is the proof that three of any twenty-five, 25 days chosen must fall in the same month of the year as required in the task content?

This proof required for the statement in the task content follows from the fact that, there are 12 months in a year.

Hence, the proof that at least three of any twenty-five, 25 days chosen must fall in the same month of the year is because, there are 12 months in a years and after choosing two days from each month, amounting to 24 days, the 25th day would fall into a month and hence, such month has 3 days already.

Ultimately, the statement that at least three of any 25 days chosen must fall in the same month of the year holds true because there are 12 months in a year.

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Please answer the question in the photo! [ brainliest ] (20 points)

Answers

Answer:

1/4

Step-by-step explanation:

or 90/360

(x, y) → (x + 5, y − 4), what are the coordinates of point L′?

Answers

Answer: (5,-4)

Step-by-step explanation:

start at zero and go right five because of the adding of five

Then go down 4 because of the minus of zero.

-7/10 + 1/5 (please help)

Answers

Answer: 2

Step-by-step explanation:

Sheridan Street and Richmond Street are parallel, and both are intersected by University Boulevard.

Two cars are heading west, one on Sheridan St. and one on Richmond St. Both cars turn north onto University Blvd.

What is the measure of the angle of their turn on to University Blvd.

Answers

The measure of the angle of their turn on to University Blvd is; 80°

How to interpret corresponding angles?

Corresponding angles are the angles that are formed when two parallel lines are intersected by the transversal.

Thus, from the given diagram when we apply the concept of corresponding angles, we can say that;

17x + 15 = 19x + 5

19x - 17x = 15 - 5

2x = 10

x = 5

Thus;

19x + 5 = 19(5) + 5 = 100°

Now, the sum of the angles on a straight line is 180 degrees. Thus, the measure of the angle of their turn on to University Blvd is;

180 - 100 = 80°

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At its highest​ point, the elevation of a county is 5764 feet above sea level. At its lowest​ point, the elevation of the county is 9 feet below sea level.

Answers

(a) The expression to represent the difference between the elevations is 5764 - ( - 9).

(b) The answer will be a positive integer.

(c) The difference between the highest and lowest point is 5773 feet.

The elevation of a county is 5764 feet above sea level.

The elevation of the county is 9 feet below sea level at the lowest point.

(a) The highest point = 5764 feet

The lowest point = 9 feet

Then the difference between the highest and the lowest point will be:

difference = Highest - lowest

difference = 5764 - ( - 9)

(b) The answer will be written as a positive integer.

(c) The difference between the highest and lowest points of the county will be:

difference = Highest - lowest

difference = 5764 - ( - 9)

difference = 5764 + 9

difference = 5773 feet

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The complete question is mentioned below:

At its highest point, the elevation of a county is 5764 feet above sea level. At its lowest point, the elevation of the county is 9 feet below sea level. Answer parts (a) through (c).

a. Write an expression using integers to represent the difference between the elevations.

b. Will the answer be written as a positive or negative integer?

c. What is the difference between the highest and lowest points of the county?

A submarine was 200 feet below sea level. Then it dove down another 370 feet so the biologists could study a squid. After that, the submarine ascended 500 feet to get closer to the surface. What is the current depth of the submarine? Express your answer as an integer.

Answers

Answer:

70 feet

Step-by-step explanation:

Depth

200 + 370 - 500 = 70 feet


The radius of a circle can be expressed as r=√A/π inches where r is the radius and A is the area of the circle. If the area of a circle is 169 π in.², what is its radius?

Answers

The radius is 169 inches.

As per the known fact, the radius and area of circle are related by the formula -

Area = πr²

So, rewriting the expression in equation -

r=√(A/π)²

As mentioned, r is the radius and A is the area of the circle and π is constant

Keep the value of A in the above mentioned rewritten equation to find the value of radius of circle.

r = √(169π/π)²

On solving the above equation we get the new equation, which is as follows -

r = 169π/π

Cancelling π as it is common in both numerator and denominator

r = 169 inches

Hence, the radius of circle is 169 inches.

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What is the blue dot on

Answers

the blue dot is on -3

Need help please with math

Answers

The equation for red graph is y= f(x-1)

What is graph?

A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner.

Given:

y = f(x)

Here if look at the graph with black with function f(x) = x

Now, if we look at the graph closely to shift the black graph to red.

There is shifting the graph in the right hand side which which gives the function y= f(x-1)

Hence, the equation for red graph is y= f(x-1)

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Expand each binomial.
(2 x-y)⁴

Answers

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. (2x - y)⁴ is expanded as 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴.

What is meant by binomial expansion theorem?

The Binomial theorem tells us how to expand expressions of the form (a + b)ⁿ, for example, (x + y)⁷. The larger the power is, the harder it is to expand expressions like this directly.

The total number of terms in the expansion of (x+y)ⁿ are (n+1).

The sum of exponents of x and y is always n.

nC₀, nC₁, nC₂, … .., nCₙ are called binomial coefficients and also represented by C₀, C₁, C₂, ….., Cₙ

The binomial coefficients which are equidistant from the beginning and from the ending are equal.

i.e. nC₀ = nCₙ, nC₁ = nCₙ₋₁ , nC₂ = nCₙ₋₂ ,….. etc.

Let the function be (2x - y)⁴

By using binomial expansion theorem, we get

(2x - y)⁴ = 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴

(2x - y)⁴ is expanded as 16x⁴ − 32x²y + 24x²y² − 8xy³ + y⁴

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What are the steps for divide in one bye one

Answers

I’m not sure what you mean but if it is long division this is what you do

i.e 3 x 63
first you see if you can divide 3 goes into 6. It does, 2 times. So the first number is 2. Then you check if 3 can go into 3. Ofc it can, one time. So the second number is 1. The answer would be 21

Write 750 in scientific notation

Answers

7.5 x 10^2

(If you don’t know the ^2 means squared I just can’t write that here)

Answer:

7.5 × 10[tex] {}^{2} [/tex] (scientific notation)

Step-by-step explanation:

➟ 750 = 7.5 × 10[tex] {}^{2} [/tex] (scientific notation)

A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week. In how many weeks will the weight of the kitten be no less than the weight of the puppy?

Answers

The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

What is Inequality?

Statement of an order relationshipgreater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.

A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.

puppy: 2.8 + 0.5x

Kitten: 1.4 + 1.2x

As, kitten is no less than puppy.

Kitten ≥ puppy

1.4 + 1.2x ≥ 2.8 + 0.5x

hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

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8.2/3 of the students in a class are boys, 3/4 of the boys are right-handed There are 18 right-handed boys. How many students are there in the class?​

Answers

Answer:

36

Step-by-step explanation:

3/4x = 18  multiply both sides by 4/3

(4/3)(3/4)x = (18/1) (4/3)

x = 24  There are 24 boys in the class.

2/3x = 24  Multiply both sides by 3/2

(3/2)(2/3)x = (24/1)(3/2)

x = 36

By solving a linear equation , we get the total number of students in the class are 36

What is a linear equation in one variable?

An linear equation is a mathematical statement consists of expressions of only one variable that too with power 1 and constants and  compares two such expressions by equating them.

Standard form of  linear equation in one variable : ax +b = c

x = (c-b)/a

Let the total number of students in the class are  x

Given that 2/3 of the students in a class are boys

∴ The number of boys = 2/3(x) =(2x)/3

Then given that 3/4 of the boys are right handed and there are 18 right-handed boys

3/4( no of boys ) =18

⇒3/4 *(2x/3) =18

⇒(3*2x)/(4*3) =18

⇒x/2 =18

Multiplying both sides by 2

x = 2*18 = 36

Therefore, the total number of students in the class are 36

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3 (x - 17) < 9 (1 - 3x)

Answers

Answer:

x < 2

Step-by-step explanation:

3(x- 17) = 3x - 51

9(1-3x) = 9 - 27x

3x - 51 < 9 - 27x

30x - 51 < 9

30x < 60

X < 2

z(4−1/2)+4 help please :(((

Answers

Answer:

7/2z +4

Step-by-step explanation:

z(4-1/2)+4

=7/2z +4

Answer:

7.5

Step-by-step explanation:

Remove parentheses; z=4-1/2+4

Add the 4s: -1/2+8

convert to fraction: 8*2/2-1/2

combine fractions:8*2-1/2

8*2-1=15

15/2

now convert 15/2 to a decimal, boom, 7.5

Question 15
The recipe calls for 3/4 cup of brown sugar. Neih is trying to half the recipe. How much brown sugar should she use?
O 1/2 cup
O 3/8 cup
O 1/4 cup
O 1 and 1/8 cup

Answers

Answer:

3/8 cup

Step-by-step explanation:

You simply divide 3/4 by 2 and get a 0.375

We turn the decimal into a fraction and get 375/1000 then simplify the fraction to 3/8

a bacteria culture starts with 660 bacteria and grows at a rate proportional to its size. after 4 hours there will be 2640 bacteria. (a) express the population after t hours as a function of t. population: equation editor (function of t)

Answers

Answer:

T=x(T*2) where X=660

Step-by-step explanation:

If it has been 2 hours than t=2

plug in 2 for t and you get x*4

The figure shows relationships of the dimensions of a square pool with an attached patio. Complete the equations and reasons to show that AC= BD

Answers

For the given square pool the relationship between the line segment will be BD = BC + CD and AB + BC = CD + BC and it will go to proves that AC = BD.

What is a line segment?

A line section that can connect two places is referred to as a segment.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

AB = CD

By segment addition postulate

AC = AB + BC

Again by segment addition postulate

BD = BC + CD

In addition property of equality

AB + BC = CD + BC

So,

AC = BD

Hence "BD = BC + CD and AB + BC = CD + BC will proves that AC = BD".

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Japhet is making small rectangular tiles for a mosaic. each tile has an area of 7 cm 2 and is 1 1/4 cm wide. how long is each tile?

Answers

Answer:

28/5

Step-by-step explanation:

7 x 4/5 = 28/5

use keep, change, flip

Answer:

28/5

Step-by-step explanation:

just did it on khan academy.

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