a pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. can the cook at pizzeria make 12 pizzas without refilling the canister?


the canister holds cups and they need cups of flour to make 12 pizzas?

Answer:

8/5

Step-by-step explanation:

To find the slope given two points

m = (y2-y1)/(x2-x1)

    = (4- -4)/(1 - -4)

   = (4+4)/(1+4)

   =8/5

Answer: answer is 8/5

Step-by-step explanation:

Answer:

y = - [tex]\frac{1}{2}[/tex] x + 9

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 3 ← is in slope- intercept form

with slope m = 2

Given a line with slope m then the slope of a line perpendicular to it is

[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{2}[/tex], thus

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

To find c substitute (8, 5) into the partial equation

5 = - 4 + c ⇒ c = 5 + 4 = 9

y = - [tex]\frac{1}{2}[/tex] x + 9 ← equation of line

Answer:

The y intercept is 6 and the slope is -3.

Please see the attached graph.

Answer:

50 Cents each i was thinking a dollar but its actually 50 cents:)

Step-by-step explanation:

Answer:

The answer is qualitative as the prices to be won are different.

Hope this helps

Answer:

The range is -16.3

Step-by-step explanation:

The range is the highest number minus the lowest number and if we take a look at this data -5, 0.7, -1.9, 3.5, -9.2, 7.1, -0.6 ,-8.7 ,2.2 ,0.6, we can see that the lowest value is -9.2 and the highest value is 7.1, so we have to minus the lower value from the higher value

-9.2 - 7.1 = -16.3

The range is -16.3

Joanna deposited $132000 and her interest amount is $359730.35

Step-by-step explanation:

Monthly deposit = $275

Interest = 5.6%

Time = 40 years

After 40 years her account balance = $491730.35

If she deposit $275 monthly then after 40 years she will have deposited ,

= 275 x 12 x 40

= $132000

The remaining is her interest amount.

Interest amount = 491730.35 - 132000

= $359730.35

Joanna deposited $132000 and her interest amount is $359730.35

Answer:

A. True

Step-by-step explanation:

I could be wrong

True, The number of seconds in any hour has an order of magnitude of 3.

The order of magnitude is the power of 10, a number is raised to when it's in scientific notation.

Given,

No. of seconds in an hour = 3600 seconds

In scientific notation

No. of seconds in an hour = 3.6 × 10³ seconds

Here, 10 is being raised to the third power.

Hence, The number of seconds in any hour has order of magnitude of 3.

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Answer:

32.50

Step-by-step explanation:

Answer:

Wayne has 10.05 gallons left.

Step-by-step explanation:

16 3/4 times 2/5 is 6.7

16 3/4 minus 6.7 is 10.05

Wayne has 327/20 gallons of fuel left in his car.

Fractions represent the parts of a whole or collection of objects. A fraction has two parts. The number on the top of the line is called the numerator.The number on the bottom of the line is called the denominator.

Now it is given that,

Amount of fuel in the car = 16 3/4 gallons = 67/4 gallons

Amount of fuel used = 2/5 gallons

Therefore,

Amount of fuel left in the car = Amount of fuel in the car - Amount of fuel used

⇒ Amount of fuel left in the car = 67/4 - 2/5

⇒ Amount of fuel left in the car = 327/20 gallons

Thus, Wayne has 327/20 gallons of fuel left in his car.

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Answer: x^2-10x+24 crosses the x-axis at (4,0) and (6,0)

Step-by-step explanation: (4)^2-10(4)+24 = 0, (6)^2-10(6)+24 = 0.

Answer:

− 8x+9

Step-by-step explanation:

Answer: only the parallelogram rhombus.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

When reflecting points across the x axis, and x coordinate remains the same and y-coordinates become the opposite of the original.

Answer:

it is D

Step-by-step explanation:

Answer:

what do you need help with?

Step-by-step explanation:

Answer: yes i will be your tutor what is your question.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

your slope will always be infront of x

Answer:

3.99

Step-by-step explanation:

I = PRT

I = 6.65 x .10 x 6

I = 3.99

Answer:

3.99

Step-by-step explanation:

Answer:

h = 6

Step-by-step explanation:

Since 1/2 times the base length times the height equals the area, just work your way backwards to get the answer!

It looks like this

(1/2)8 * h = 24

First multiply 1/2 by 8 to get 4

then divide 4 out of both sides so that h = 6!

Thank me later :)

Answer:

6 is the answer

Step-by-step explanation:

Given:

The given triangle is a right triangle.

The length of the hypotenuse is 31 units.

The length of the leg is 23 units.

One of the angle is x.

We need to determine the value of x.

Value of x:

The value of x can be determined using the trigonometric ratio.

Thus, we have;

[tex]sin \ \theta=\frac{opp}{hyp}[/tex]

Substituting [tex]\theta=x[/tex], the side opposite to the angle x measures 23 units and the hypotenuse is 31.

Thus, we have;

[tex]sin \ x=\frac{23}{31}[/tex]

Dividing, we get;

[tex]sin \ x=0.74[/tex]

Taking [tex]sin ^{-1}[/tex] on both sides of the equation, we get;

[tex]x=sin^{-1}(0.74)[/tex]

[tex]x=47.7[/tex]

Rounding off to the nearest whole integer, we get;

[tex]x=48[/tex]

Thus, the value of x is 48°

Hence, Option c is the correct answer.

Answer:

5/1

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

Given:

Number of pens in a box = 10

Number of pencils in a box = 15

To find: probability of selecting a pen and then a pencil

Solution:

Probability refers to the chance of occurring of some event.

Probability of selecting a pen and then a pencil = (Probability of selecting a pen) × (Probability of selecting a pencil given that a pen has already been drawn)

[tex]=\frac{10}{25}\times \frac{15}{24}=\frac{150}{600}=\frac{1}{4}=0.25[/tex]

Probabilities are used to determine the chances of events

The probability of selecting a pen and then a pencil is 1/4

The samples are given as:

[tex]Pen = 10[/tex]

[tex]Pencil = 15[/tex]

The total number of items in the box is:

[tex]Box = 10 + 15[/tex]

[tex]Box = 25[/tex]

The required probability is then calculated as:

P = P(Pen) * P(Pencil)

So, we have:

[tex]P =\frac{10}{25} \times \frac{15}{24}[/tex]

Evaluate the product

[tex]P =\frac{150}{600}[/tex]

Simplify

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

Hence, the required probability is 1/4

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Answer: The factors of 10 are 1,2,5,10

Step-by-step explanation:

Answer:

2736

Step-by-step explanation:

Formula is 1/3 x base area x height

The volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex] Therefore, option a is correct.

To find the volume of a right triangular pyramid, you can use the formula:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} \][/tex]

The base area of a right triangular pyramid is given by the formula for the area of a triangle:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} \][/tex]

Given the dimensions of the right triangular pyramid as [tex]\(36 \text{ cm}\), \(19 \text{ cm}\), and \(24 \text{ cm}\), we have:[/tex]

Base:[tex]\(19 \text{ cm}\)[/tex]

Height of the triangle: [tex]\(36 \text{ cm}\)[/tex]

Height of the pyramid: [tex]\(24 \text{ cm}\)[/tex]

First, let's find the base area:

[tex]\[ \text{Base Area} = \frac{1}{2} \times \text{Base} \times \text{Height} = \frac{1}{2} \times 19 \times 36 \]\[ \text{Base Area} = \frac{1}{2} \times 19 \times 36 = 342 \text{ cm}^2 \][/tex]

Now, let's calculate the volume of the pyramid:

[tex]\[ V = \frac{1}{3} \times \text{Base Area} \times \text{Height} = \frac{1}{3} \times 342 \times 24 \][/tex]

[tex]\[ V = \frac{1}{3} \times 342 \times 24 = 2736 \text{ cm}^3 \][/tex]

So, the volume of the right triangular pyramid is [tex]\(2736 \text{ cm}^3\).[/tex]

Answer:

1420000005.9

Step-by-step explanation:

(4.2*10^8)+(5.9+10^9)

(4.2*100000000)+(5.9+100000000)

420000000+1000000005.9

1420000005.9

Final answer:

The data provided do not represent an exponential function, as there is no constant ratio between y-values for evenly spaced x-values. The correct answer among the given options is 'c' suggesting there is no clear relationship between the x and y values.

Explanation:

From the provided data, it is not clear whether there is an exponential relationship between the x and y values. To determine whether a set of data represents an exponential function, we typically look for a constant ratio between successive y-values when the x-values are evenly spaced. In other words, as x increases by regular intervals, the y values should be multiplied by a constant factor if the relationship is exponential. However, the y-values listed (1, 1, 1, 2, 4, 1, 8) do not show a common factor between each term. Therefore, the data do not represent an exponential relationship, making option 'd' incorrect.

Let's evaluate the other options:

a. No, the domain values are at regular intervals: This is a characteristic of an exponential function, but the range values must also have a common factor, which they do not in this case.

b. No; a different value is added to each range value: This could suggest a linear or polynomial relationship rather than an exponential one. However, without additional context or a pattern in the additions, we cannot be certain of this either.

c. No; there is no relationship between the x value and its corresponding y value: Based on the erratic pattern of y-values, this option seems the most accurate as it suggests that the data does not correspond to any clear mathematical relationship.

The best choice given the options is likely 'c' as it accurately describes the lack of consistent relationship between x and y values necessary for a function to be exponential.

Answer:

19. 1400 ft^2

20. 1680 + 112pi m^3

For 20, a decimal answer would be 2031.86

Step-by-step explanation:

19. Lateral surface area refers to the area without including any horizontal planes(the tops and the bottoms - hence the name lateral). The lateral surface area of this prism is simply 5 equivalent rectangles. Each rectangle has an area of 280(14*20). Thus, the answer is 280*5 = 1400 [tex]ft^{2}[/tex]

20. The volume of a shape such as this(where the horizontal planes are always the same shape) can be calculated by the area of the base times the height. In this case, the area of the base is the semi circle (area of [tex]\frac{4*4*\pi}{2}[/tex]). The area of the rectangle is 15 * 8 = 120. Adding these together gets you 120 + 8pi. Multiplying this by the height of 14 gets you 1680 + 112[tex]\pi[/tex] [tex]m^3[/tex]  

Work Shown:

7 ways to pick the president.

6 ways to pick the VP

5 ways to pick the secretary

7*6*5 = 210 ways to pick the three people from a pool of seven. Order matters because the positions are different. Note the count down from 7 to 6 to 5 which indicates that any given person cannot run for more than one office.

You can use the permutation formula with n = 7 and r = 3

The permutation formula is [tex]_n P_r = \frac{n!}{(n-r)!}[/tex] where the exclamation marks represent factorials.

There are 210 distinct ways to assign seven candidates to three different class offices (president, vice president, and secretary), based on permutation principles.

The question involves finding out in how many ways three different class offices (president, vice president, and secretary) can be filled from a pool of seven candidates. This is a permutations problem because the order in which the candidates are chosen matters (as the offices are distinct). To solve this, we use the permutation formula. For the first office, you have 7 choices (any of the 7 candidates can fill it). Once the first position is filled, you are left with 6 candidates for the second office. Similarly, after filling the second office, there are 5 candidates left for the third office.

Therefore, the total number of ways to fill these positions is the product of these choices, which is calculated as:

7 × 6 × 5 = 210 ways.

This means there are 210 distinct ways to assign these seven candidates to the three available class offices, assuming no candidate can hold more than one office simultaneously.

Answer:

c) 10

Step-by-step explanation:

You do 5 C 3 ( because you are choosing 3 from the remaining 5).

5C3 = 5!/(3!2!) = 10

Answer:

C 10

Step-by-step explanation:

He has 6 colours to choose 3 from.

One of them is green, so he just needs to choose 2 from the remaining 5.

That's,

5C2 = 10

Answer:

1/4

Step-by-step explanation:

Since a board is cut into four parts and we are to determine the fraction for each piece

So it will be 1/total number of pieces

Which will be 1/4

So the fraction for each board will be 1/4

The answer is The scale factor of the enlargement is 3.2. Square the scale factor to get 10.24. Find the area of the original figure, which is 32. Multiply 32 and 10.24 to get the area of the enlarged figure, which is 327.68.                                    I took the asinmate

The area of the enlarged figure is 327.68 units²

What is scaling ?

It is the method to resize drawing with comparing to true size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

A small rectangle has a length of 8 and width of 4 and a large rectangle has a length of 25.6 and width of a, then

The area of the small rectangle is :

 area = length · width

 area = (8)(4) = 32 units²

The scale factor is ...

 scale factor = greater length / smaller length

                      = 25.6/8

                      = 3.2

The area of the greater rectangle will be equals to the small rectangle area multiplied by the square of the scale factor:

(32 units²)(3.2²) = 327.68 units²

Therefore, the area of the enlarged figure is 327.68 units²

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