A gas station sells regular gas for $2.20 per gallon and premium gas for $3.00 a gallon. at the end of a business day 300 gallons of gas has been sold, and receipts totaled $700. how many gallons of each type of gas had been sold

Answer:

B. 1.43 × 10‐¹⁰ g

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Answer:

There are 24 ways to get a lock code with all even digits. There are 3,024 different 4-digit lock codes. There are 3000 ways to get a lock code without all even digits. The probability of a 4-digit lock code without all even digits is 3000/3024

Step-by-step explanation:

In short, C, B, C

Got it correct on edge, have a nice day:)

The probability of a 4-digit lock code without all even digits is 0.9934 or 99.34%.

Since zero is not allowed as a digit, there are only 4 even digits available: 2, 4, 6, and 8.

Now, the number of lock codes with all even digits:

For the first digit, there are 4 even digits to choose from (2, 4, 6, 8).

For the second digit, there are 3 even digits left to choose from.

For the third digit, there are 2 even digits left to choose from.

For the fourth digit, there is 1 even digit left to choose from.

So, the total number of lock codes with all even digits

= 4 × 3 × 2 × 1

= 24.

Now, Number of lock codes without all even digits

= Total number of lock codes - Number of lock codes with all even digits

= 3,024 - 24

= 3,000

Now, the probability:

= Number of lock codes without all even digits / Total number of lock codes

= 3,000 / 3,024

= 0.9934

So, the probability is 0.9934 or 99.34%.

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The answer is B on edg :)

Answer:

10 mile per hour = 16.1 kilometers per h our

Step-by-step explanation:

We know that  

1 mile = 1.61 kilometers

We are supposed to convert speed given in miles per hour (mph) to kilometers per hours (kmph)

In order to do so ,  

1 mile = 1.61 kilometers

1 mile per hour = 1.61 kilometers per hour

Multiplying both sides by 10 we get

10 miles per hour = 1.61 *10 kilometers per hour  

10 miles per hour = 16.1 kilometers per hour

Hence our speed in kilometers per hour is 16.10 kmph

Probability experiment or a trail is process that you can do over and over, where each result does not affect the next

Explanation: Trail is defined as a procedure that can repeated any number of times and the result of one trial does not affect the next. This mean each trail or a probability experiment is independent and not associated with the last result.

Answer:

Option (3) is correct.

The surface area of a rectangular prism of given dimension is 170 square inches.

Step-by-step explanation:

Given : a rectangular prism whose base is 5 inches by 6 inches and whose height is 5 inches.

We have to find the surface area of a rectangular prism of given dimension.

Since a rectangular prism whose base is 5 inches by 6 inches

That is length (l)= 5 inches

Width (w) = 6 inches

and height (h) = 5 inches.

Also . [tex]\text{surface area of a rectangular prism}=2(lw+wh+hl)[/tex]

Substitute, we have,

[tex]\text{surface area of a rectangular prism}=2(5\cdot 6+5\cdot 5+5\cdot 6)[/tex]

simplify , we have,

surface area of a rectangular prism = 170 inches²

Thus, the surface area of a rectangular prism of given dimension is 170 square inches

The probability of it snowing both today and tomorrow is 8%, based on the given probabilities for individual days. Therefore, the most accurate statement is that it's not very likely for it to snow on both days.

The question revolves around understanding the concept of probability. In the context of probability, you multiply the probabilities of two independent events (like it snowing on two different days) to get the probability of both occurring.

To find out if it will snow both today and tomorrow, we multiply the probability it will snow today (20% or 0.2) by the probability it will snow tomorrow (40% or 0.4). This gives us a probability of 0.08 or 8%, which means that it's not very likely that it will snow both today and tomorrow.

So, the correct answer would be Option A: It is not very likely that it will snow both today and tomorrow.

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In this exercise we have to use the knowledge of polygon area to calculate the area of ​​a trapezoid, in this way we find that:

[tex]45 units[/tex]

So find the area of this rectangle,  this area will be:

[tex]9*2 = 18[/tex]

Find the area of triangle FSN, this area will be:

[tex]A = b*h/2 = 9*6/2 = 54/2 = 27[/tex]

Sum all the areas will be:

[tex] 18+27 = 45[/tex]

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Hi there i hope this will help

n + d + q = 23 . . . . . . . there are 23 coins total

 0n +d -q = 2 . . . . . . . . .there are 2 more dimes than quarters

 5n +10d +25q = 250 . .the total value is $2.50

The collection includes 11 nickels, 7 dimes, and 5 quarters.

I used the matrix function of my calculator to solve these equations. You can find q by subtracting from the last equation five times the sum of the first two equations.

 (5n +10d +25q) -5((n +d +q) +(d -q)) = (250) -5(23 +2)

 25q = 125 . . . . . . . simplify

 q = 5

From the second equation,

 d = q +2 = 7

And from the first,

 n = 23 -5 -7 = 11

Answer: [tex]Volume = 972\pi units^{3}[/tex]

Step-by-step explanation: To find the volume of a sphere, start with the formula for the volume of a sphere.

[tex]Volume = \frac{4}{3} \pi r^{3}[/tex]

Notice that our sphere has a radius of 9 units so we can plug 9 into our formula.

[tex]Volume = (\frac{4}{3})(\pi)(9 units)^{3}[/tex]

Now, let's simplify the exponent. 9 units³ is equal to 9 units × 9 units × 9 units or 729 units³.

[tex]Volume = (\frac{4}{3}) (729 units^{3}) (\pi)[/tex]

Notice that we can cross cancel [tex]3[/tex] in [tex]\frac{4}{3}[/tex] and [tex]729[/tex] to [tex]1[/tex] and [tex]243.[/tex]

[tex]Volume = (4) (243units^{3}) (\pi)[/tex]

[tex]Volume = 972\pi units^{3}[/tex]

Using the rule of 70, which states that the doubling time in hours is equal to 70 divided by the growth rate percentage, it will take approximately 25.93 hours for the bacteria to double in number at a growth rate of 2.7 percent per hour.

To calculate the time it will take for the bacteria to double in number with a growth rate of 2.7 percent per hour, we can use the rule of 70. The rule of 70 states that we can find the doubling time by dividing 70 by the percentage growth rate.

Doubling time = 70 ÷ growth rate percentage = 70 ÷ 2.7 ≈ 25.93

Therefore, it will take approximately 25.93 hours for the bacteria to double in number.

Answer:

A basketball is thrown upwards. The height f(t), in feet, of the basketball at time t, in seconds, is given by the following function:

f(t) = −16t2 + 16t + 32

Which of the following is a reasonable domain of the graph of the function when the basketball falls from its maximum height to the ground?

B is correct!

:)

D

Total volume = volume of cylinder + volume of hemisphere

Total volume = pi * r^2 * h  + 2/3 * pi * r^3, where r = 2 and h = 2.5

total volume = 46/3 pi cm^2

If the ratio of surface area is 9/16, then the ratio of linear dimensions is sqrt(9/16)=3/4, and the ratio of the volumes is (3/4)^3=27/64.

Therefore the total volume = (1+27/64)*volume of the larger pyramid

= (91/64)*volume of the larger pyramid.

Answer:

B.

Step-by-step explanation:

Final answer:

The corresponding point for the function f(x+2), given that the point (5,-8) is on the graph of f(x), is (3, -8) due to the horizontal shift of 2 units to the right.

Explanation:

If the point (5,-8) is on the graph of f(x), and we want to find the corresponding point for the function f(x+2), this means that we are dealing with a horizontal shift of the original graph of f(x). The point (5,-8) indicates that when x is 5, the value of f(x) is -8. To find the corresponding point on f(x+2), we need to subtract 2 from the x-coordinate of the original point because the graph of f(x+2) will be shifted 2 units to the right.

Therefore, the corresponding point on the graph of f(x+2) would be (5 - 2, -8), which simplifies to (3, -8).