Justin and Dan ordered a pizza Justin ate 1/4 and ate 3/8 of the pizza what fraction of the pizza is left please show how you got the answer

Step-by-step explanation:

a.) 9

When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.

So if you flip

\(\frac{1}{9} \)

It would be:

\( \frac{9}{1} \)

9/1 is the same as 9 so:

1 times 9 = 9

b.) 15

Same thing like we did above, just do the reciprocal the multiply.

\( \frac{1}{5} \)

Becomes

\( \frac{5}{1} \)

5/1 is the same as 5.

3 times 5 = 15

Step-by-step explanation:

w= L-4

$(24L-48)

......

The  radius of the circle with center at (7,-4) and a point on the circle (-2, 5).  is  9√2

Radius is the line segment extending from the center of a circle or sphere to the circumference or bounding surface, it is the distance betwee the center of the circle to a point on the circumference

the circle with center at (7,-4) and a point on the circle (-2, 5).

We can find the radius by using the distance formula

r = √((x₂ - x₁)² + (y₂ - y₁)²)

r = √((-2 -7)² + 5 - (-4)²)

r = √(9² + 9²)

r = 9√2

Therefore, the  radius of the circle with center at (7,-4) and a point on the circle (-2, 5).  is  9√2

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Answer:

They were going at 15 mph. Scroll down for step-by-step! :)

Step-by-step explanation:

2 hours, 30 miles. 30 divided by 2 :)

Answer: Their speed was 15mph

Step-by-step explanation: 30÷2=15mph

The slope intercept equation is y = mx + b

m = slope and b = intercept

m = 1/3

x = -9

y = 5

The equation of a straight line for a given point is

y - y1 = m(x - x1)

y -5 = 1/3(x -(-9))

y -5 = 1/3( x + 9)

Open the parentheses

y -5 = 1/3x + 1 *9 /3

y -5 = 1/3x + 3

Make y the subject of the formula

y = 1/3x + 3 + 5

y = 1/3x + 8

From y = mx + b

Therefore, b = 8

The answer is 8

The probability of roll outcome:

1st 2 = 1/6

2nd prime = 1/2, and

3rd more than 4 = 1/3.

Probability is the fraction of the required outcome event divided by the number of possible outcomes of events.

In a fair die, considering the outcomes from the question:

probability of the 1st roll to be 2 = 1/6

probability of 2nd roll to be prime = 3/6

probability of 2nd roll to be prime = 1/2

probability of 3rd roll to be more than 4 = 2/6

probability of 3rd roll to be more than 4 = 1/3

Therefore, the fracions 1/6, 1/2, and 1/3 are the probabilities of the 1st, 2nd, and 3rd rolls outcome respectively.

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Answer:

40,779

Step-by-step explanation:

i took the k12 test

The circumference is approximately 88 inches.

The correct option is B. 88 in.

To find the circumference of a circle, we can use the formula:

C = 2πr,

where C represents the circumference and r represents the radius of the circle.

Given that the radius, r, is 14 inches, we can substitute this value into the formula:

C = 2 x 3.14 x 14.

C ≈ 87.92 inches.

Thus, the circumference is approximately 88 inches.

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Answer:

170

Step-by-step explanation:

17π/18 * 180/π

17*180/18

=170

Answer:

94 more students should be included in the sample.

Step-by-step explanation:

We have that to find our \(\alpha\) level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\(\alpha = \frac{1-0.99}{2} = 0.005\)

Now, we have to find z in the Ztable as such z has a pvalue of \(1-\alpha\).

So it is z with a pvalue of \(1-0.005 = 0.995\), so \(z = 2.575\)

Now, find the margin of error M as such

\(M = z*\frac{\sigma}{\sqrt{n}}\)

In which \(\sigma\) is the standard deviation of the population and n is the size of the sample.

How many students we need to sample to be 99% sure that the sample mean x is within 1 semester hour of the population mean?

We need to survey n students.

n is found when M = 1.

We have that \(\sigma = 4.7\)

So

\(M = z*\frac{\sigma}{\sqrt{n}}\)

\(1 = 2.575*\frac{4.7}{\sqrt{n}}\)

\(\sqrt{n} = 2.575*4.7\)

\((\sqrt{n})^{2} = (2.575*4.7)^{2}\)

\(n = 146.47\)

Rounding up

147 students need to be surveyed.

How many more students should be included...?

53 have already been surveyed

147 - 53 = 94

94 more students should be included in the sample.

Answer:

We can solve this using ratio and proportion. Let x be the number of hits the baseball player will have in the next 28 games.

4 : 8 = x : 28

(4)(28) = (x)(8)

112 = 8x

112/8 = 8x/8

14 = x

Step-by-step explanation:

Answer:

14 hits

Step-by-step explanation:

We can use a ratio to solve

4hits            x hits

------------ = -------------

8 games      28 games

Using cross products

4 * 28 = 8x

Divide each side by 8

112/8 = x

14 = x

14 hits

Answer:

Zach time of reading every weekend forms a sequence with these terms: 10, 20, 40, 80. On the other hand, that of Victoria forms a sequence with terms: 35, 50, 65, 80. By keenly observing the sequences, Zach's sequence is a geometric sequence with a common ratio equal to 2 and Victoria's sequence is an arithmetic or linear sequence with a common difference of 15. Thus, the answer is letter B.

Step-by-step explanation:

The solution is: the value of x is 13.5.

Here, we have,

We can use a ratio to solve

2        3

---- = ------

11        3+x

Using cross products

2(3+x) = 3*11

Distribute

6+2x = 33

Subtract 6

6+2x-6 = 33-6

2x = 27

Divide by 2

2x/2 = 27/2

x = 13.5

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complete question:

Solve for X

Answer:

nothing is there?

Step-by-step explanation:

Answer:

please there is no question

Step-by-step explanation:

where are the questions

By farming the linear equation from the given information, we get the value of the unknown number as 2/3

The given information is Three times a number increased by 9 is 15 less than six times the number.

Let the unknown number be x,

Then, according to the question, we have :

3x +9 = 15 -6x

This a linear equation with one variable x,

Taking the variables and constants separately, we get :

3x +6x = 15 -9

Solving the above equation, we get :

9x = 6

Dividing the equation by 9, we get,

x = \(\frac{6}{9} = \frac{2}{3}\)

Hence, the unknown number is 2/3

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Answer:

what the question?......

The value of c is 1/17.

It is a branch of mathematics that deals with the occurrence of a random event.

Here it is given that the function f(x) can serve as a probability distribution of the discrete random variable X when f(x) = c(x² + 4), for x = 0, 1 ,2

We have to find the value of c

Since f(x) represents the probability distribution x = 0, 1 ,2

So we have f(0)+f(1)+f(2)=1

c(0²+4)+c(1²+4)+c(2²+4)=1

4c+5c+8c=1

17c=1

Divide both sides by 17

c=1/17

Hence, the value of c is 1/17.

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Determine the value c so that each of the following function can serve as a probability distribution of the discrete random variable X when f(x)=c(x2+4), for x=0, 1,2?

a.

1/3

b.

1/17

c.

1/2

d.

1/13

Answer:

12 pieces

Step-by-step explanation:

4 4/5 = 24/5 / 2/5 = 12

Answer:

10 i think

Step-by-step explanation:

theres 10 x's

Answer:

10?

Step-by-step explanation:

i just counted the x's

The mixture must be heated an amount of 23 °F to reach a temperature of 132 °F.

Temperature is the measure of how "hot" a system is. Physically speaking, temperature is closely related to atomic and molecular motion within a system. In this problem we find a mixture that must be at a certain temperature, higher than its real one.

Therefore, the amount required to increase the temperature of the mixture is defined by following subtraction:

ΔT = R - r

Where:

If we know that r = 109 °F and R = 132 °F, then the temperature difference is:

ΔT = 132 °F - 109 °F

ΔT = 23 °F

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A tessellation is a pattern made by repeating geometric shapes without any gaps or overlaps. These shapes, called tiles or polygons, fit together perfectly to cover a plane or a surface. Tessellations can be found in various forms of art, architecture, and design. They are used to create visually appealing patterns and decorations, as well as to explore mathematical concepts.

Tessellations are utilized in various practical applications, such as tiling floors, walls, and pavements, designing mosaics and quilts, and creating computer graphics and textile patterns. They are also studied in mathematics to understand concepts like symmetry, geometry, and transformations.

For polygons to tessellate, certain conditions must be met at their vertices. At each vertex, the angles formed by the polygons must add up to a whole number of degrees, typically 360 degrees. In other words, the sum of the interior angles of each polygon meeting at a vertex must be a multiple of 360 degrees.

This ensures that the polygons can fit together seamlessly without leaving any gaps or overlaps. Examples of polygons that tessellate include equilateral triangles, squares, and hexagons, as their angles add up to 360 degrees at each vertex.

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Answer:

the 2 base angles are also congruent

Step-by-step explanation:

this is because if you fold them and it matches perfectly and the 2 angles match perfectly also than the angles are the same

Answer:

Lines are perpendicular

Step-by-step explanation:

slope of y=6 is 0

slope of x=6 inf

Answer:

its loading but ill help!

Step-by-step explanation:

Answer:

Distributive Property, Subtraction Property of Equality, Simplifying, Division Property of Equality, Simplifying

Step-by-step explanation:

Answer:

Distributive property

Subtraction property of equality

Simplifying

Division property

Simplifying

The fraction of the class that is sophomores is \(35/43\).

The fraction of the class that is sophomores, divide the number of sophomores by the total number of students in the class.

Number of sophomores = 35

Total number of students = 43

Fraction of sophomores = (Number of sophomores)/(Total number of students Fraction of sophomores)

Fraction of sophomores  \(= 35 / 43\)

Therefore, the fraction of the class that are sophomores is = \(35/43\).

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Answer: 24

Step-by-step explanation:

Basically you just need to add them simply breaking them up then adding them

Answer:

1/108

Step-by-step explanation:

each denominator triples, so just triple 36.

Answer:

1/108

Step-by-step explanation:

This is a geometric sequence, where each number is 3 times the previous. Normally you would use the actual formula, however you're just asked to pick up on a pattern so just multiplying the second number by 3 works.

Answer:

18 kg of 15% copper alloy

62 kg of 70% copper alloy

Step-by-step explanation:

Step 1: Calculate the total amount of copper present in 80 kg of 48% copper alloy

Total Copper = 80 x 0.48 = 38.4 kg

Step 2: Calculate the amount of 15% copper alloy required

15% Copper Alloy = 38.4 / 0.15 = 256 kg

Step 3: Calculate the amount of 70% copper alloy required

70% Copper Alloy = (80 - 256) = -176 kg

Step 4: Since the amount of 70% copper alloy required is negative, the metalworker should use 256 kg of the 15% copper alloy and 0 kg of the 70% copper alloy to create 80 kg of 48% copper alloy.

Answer:

Side length of square (inches): 1 ,2, 4, 7

Perimeter of square (inches). : 4, 8, 16, 28

Step-by-step explanation:

Ratio is 1:4 (S:P).

So:

#:8, #=2. This is because 2/8 and 1/4 both = 0.25.

#:16, #=4. 4/16=0.25

7:#, #=28. 4x7=28, 7/28=0.25

Hope that helps