need help with question 20

The answer is 68

Hope I could help you!

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The possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3.

In this problem, Lonnie visited one of the coffee machines and bought some coffees, of which three turned out to be white. He then went back to the same machine for the afternoon run and bought the same number of coffees again. We need to determine the possible numbers of white coffees that Lonnie could have received this time.

Since every fourth coffee dispensed from STACO is black and the rest are white, we can conclude that every 3 out of 4 coffees from STACO are white. Therefore, if Lonnie received only white coffees in the morning, then it is possible that he could have received all black coffees in the afternoon.

On the other hand, the coffees dispensed from TRUCKBASS are alternately black and white. So, if Lonnie received three white coffees in the morning, it is not possible for him to receive all black coffees in the afternoon from TRUCKBASS.

Therefore, the possible numbers of white coffees that Lonnie could have received in the afternoon are 0 or 3, depending on which machine he visited.

The firs graph attached (picture 1)

To reflect the function over the x-axis, you multiply the whole function by -1. So, is you want to reflect [tex]f(x)[/tex], you just need to multiply [tex]f(x)[/tex] by -1: [tex]f(x)*-1=-f(x)[/tex].

Since our function is [tex]f(x)=\sqrt{x}[/tex], we are going to multiply the whole function by -1 to the get the the graph of its reflection over the x-axis (picture 1)

Reflection of f(x) over the x-axis:

[tex]-f(x)=\sqrt{x}[/tex]

[tex]g(x)=-\sqrt{x}[/tex]

Negate the value of the y-coordinate of each point, but leave the x-value the same. Therefore, option A is the correct answer.

The given function is f(x)=√x.

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Here, f(x)=√x

Graph using the end point and a few selected points.

(0,0), (1, 1) and (2, 1.41)

The graph for the obtained coordinate points is given below.

The rule for reflecting over the X axis is to negate the value of the y-coordinate of each point, but leave the x-value the same.

Therefore, option A is the correct answer.

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Answer:

Question 1.. A. Question 2.. C  Question 3.. D. Question 4.. D. Question 5.. C.

Question 6.. A. Question 7.. B. Question 8.. B. Question 9.. B.

Total money earned by Juan = 3w-6

Now Juan saved 1/3 of the money.

So money Juan spent will be 2/3 of what he earned.

Money Juan spent :

[tex] \frac{2}{3} (3w-6) [/tex]

Simplifying we get :

2w-4

Emma wrote the expression as 2(3w-6) which is not equal to 2w-4.

So we can say that the expression found by Emma was incorrect .

To calculate the remaining amount of grain in a silo discharging at a constant rate, we subtract the total amount discharged (rate times time) from the initial amount. This can be expressed as 'G = I - 3.5s' where 'G' is the amount of grain left after 's' seconds, 'I' is the initial amount, and '3.5' is the discharge rate in ft3/s.

If the silo empties at a constant rate, it can be modeled with linear equations. In this case, the rate of grain being emptied from the silo is 3.5 units of grain every second. Please note that to find the amount of grain left after a certain amount of time, we need to know the initial amount of grain in the silo, let's call it 'I'.

For your problem the general mathematical expression would be: total amount of grain left = initial amount of grain (I) - (rate × time),

If we denote the amount of grain left after 's' seconds as 'G', we can write the equation as: G = I - 3.5s

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Answer:

60

Step-by-step explanation:

Answer:

-16t² + 24t = 0

-8t(2t - 3) = 0

t = 1.5 seconds

The tennis ball returns to the ground in 1.5 seconds.

The tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.

To find when the tennis ball returns to the ground, you need to determine when the height y is equal to zero. In the given function [tex]y = -16t^2 + 24t\)[/tex], set y equal to zero and solve for t:

[tex]\[ -16t^2 + 24t = 0 \][/tex]

Factor out 8t from both terms:

[tex]\[ 8t(-2t + 3) = 0 \][/tex]

Now, set each factor equal to zero:

1. 8t = 0: This gives t = 0.

2. -2t + 3 = 0: Solve for t.

[tex]\[ -2t = -3 \][/tex]

Divide both sides by -2:

[tex]\[ t = \frac{3}{2} \][/tex]

So, the two solutions are t = 0 and [tex]\(t = \frac{3}{2}\)[/tex]. However, \(t = 0\) corresponds to the initial bounce, and we are interested in the time it takes for the ball to return to the ground after the first bounce.

Therefore, the tennis ball returns to the ground after [tex]\(\frac{3}{2}\)[/tex] seconds.

Answer:

ummm, ohhh i just realized that i entered in the wrong question and i was so confused lol

Step-by-step explanation:

The capacity of the gas tank is 20 gallons

.To determine the capacity of the gas tank, we can set up a proportion based on the information given. We know that the tank is 40% full and contains 8 gallons of gas. Let's denote the total capacity of the tank as C gallons.Since 40% of the tank's capacity is equal to the 8 gallons of gas currently in the tank, we can write the following equation: [tex]\[ 0.40 \times C = 8 \[/tex]. To find the total capacity C, we divide both sides of the equation by [tex]0.40:\[ C = \frac{8}{0.40} \[ C = 20 \].[/tex]  Therefore, the capacity of the gas tank is 20 gallons. This means that when the tank is completely full, it can hold 20 gallons of gas.

To have $400,000 for retirement in 25 years with an annual interest rate of 6% compounded annually, Thurston must invest $93,171.77 today.

Thurston must calculate how much he needs to invest today to have $400,000 when he is 80 years old, given that he is currently 55 years old and the investment will yield 6% interest compounded annually. To find this amount, we use the formula for the present value of a lump sum, which takes into account the future value desired, the interest rate, and the number of compounding periods. The formula is:

PV = FV / (1+r)n

Where PV is the present value, FV is the future value, r is the annual interest rate, and n is the number of years until retirement.

In Thurston's case:

Plugging these values into the formula gives us:

PV = $400,000 / (1+0.06)25

PV = $400,000 / (1.06)25

PV = $400,000 / 4.29187072

PV = $93,171.77 (rounded to two decimal places)

Thus, Thurston must invest $93,171.77 today to retire with $400,000 in 25 years at an annual interest rate of 6% compounded annually.

Answer:

77 out of 100 grids will have some marking to differentiate it from others.

Step-by-step explanation:

To model a desert community in which 77% of the area is covered with houses you may use different options as per your choice. You may put a border to the 77 of the 100 grid. If we choose a 10 by 10 grid then it will be preferable for modeling a desert community if you will mark  77 out of 100 grid.

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the answer is 11 :))

Cornell's class took 2 field trips last year. This is determined by setting up and solving the equation based on the given information.

To solve this problem, we need to set up an equation. Given in the problem that Cornell's class took one more than three times as many field trips as last year's class, we can represent this as 3x + 1 = y, where x is the number of field trips last year and y is the number of field trips this year. We know that y is 7 so we can substitute this into our equation getting 3x + 1 = 7.

To find x, you would subtract 1 from both sides of the equation giving 3x = 7 - 1, which simplifies to 3x = 6. Finally, dividing both sides of the equation by 3 gives us x = 2, so Cornell's class took 2 field trips last year.

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To find the sum, add each amount together, starting from the ones place and carrying over any excess to the next place value. The total sum is $256.15.

To find the sum of the amounts of money, you will add each amount together. $10.15 + $31.60 + $34.75 + $40 + $69.25 + $54.75. Starting with the ones digit, you have 5 + 0 + 5 + 0 + 5 + 5 = 20. Write down 0 and carry over the 2 to the tens place. Next, add the tens place digits, which gives you 1 + 6 + 7 + 0 + 2 + 4 = 20. Write down 0 again and carry over the 2 to the hundreds place. Finally, add the numbers in the hundreds place, which equals 0 + 3 + 3 + 0 + 6 + 5 + 5 = 22. Write down 2 and add it to the sum. The total sum of the amounts of money is $256.15.

The sum of $10.15, $31.60, $34.75, $40.00, $69.25, and $54.75 is calculated by adding each value together, which results in a total of $242.50.

To calculate the sum of the amounts of money $10.15, $31.60, $34.75, $40, $69.25, and $54.75, you simply need to add each of these values together. Adding money involves lining up the decimal points and adding each column from right to left, just as with regular addition. Here's how you do it step by step:

Next, add the numbers in the rightmost column (the cent column), carry over if necessary, then move to the next column to the left (the dollar column), and do the same:

Add both totals together:

Therefore, the sum of the amounts of money is $242.50.

Order of Operations in Mathematics follow this following rule :

This rule is known as the PEMDAS method.

In working on a mathematical problem, we first calculate operation that is in parentheses, follow by exponentiation, then multiplication or division, and finally addition or subtraction.

Let us tackle the problem!

At a factory, a mechanic earns $17.25 an hour

[tex]\texttt{ Mechanic's Wage } = \$17.25[/tex]

The president of the company earns 6 2/3 times as much for each hour the mechanic works

[tex]\texttt{ President's Wage } = 6\frac{2}{3} \times \texttt{ Mechanic's Wage }[/tex]

[tex]\texttt{ President's Wage } = 6\frac{2}{3} \times \$17.25[/tex]

[tex]\texttt{ President's Wage } = \$115[/tex]

The janitor at the same company earns 3/5 much as the mechanic

[tex]\texttt{ Janitor's Wage } = \frac{3}{5} \times \texttt{ Mechanic's Wage }[/tex]

[tex]\texttt{ President's Wage } = \frac{3}{5} \times \$17.25[/tex]

[tex]\texttt{ President's Wage } = \$10.35[/tex]

Total all three people employees' wages for one hour of work

[tex]\texttt{ Total Wages } = \$17.25 + \$115 + \$10.35[/tex]

[tex]\texttt{ Total Wages } = \boxed{\$142.60}[/tex]

Grade: Middle School

Subject: Mathematics

Chapter: Order Of Operations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point , Multiplication , Division , Exponent , PEMDAS , percentange , percent

Answer:

1/3 :)

Step-by-step explanation:

if you do the math it eqals 2/6 but if you simplify it its 1/3 i did this test and got 100% ur welcome

The amount of money that Helen would have left after all these expenses is  $460.

In order to determine the amount that would be left, determine the money value of the expenses, add the expenses together and subtract it from the earnings.

Amount left = 1840 - 1380 = $460

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Answer: The answer is 9.647*10^7

Step-by-step explanation: in scientific notation or in standard form the expression can be written as.

9.647*10^7

This was achieved by counting one decimal place after the first digit and multiplying the the whole number by 10 raised to the power of the number counted from the write to the decimal point

The number 96,470,000 in scientific notation is written as 9.647 × 10⁷.

Given is a number we need to write it into scientific notation,

In scientific notation, a number is expressed as a product of two parts: a coefficient and a power of 10. The coefficient is a number between 1 and 10, and the power of 10 indicates the number of places the decimal point needs to be moved to obtain the original number.

To convert 96,470,000 to scientific notation, we start by moving the decimal point to the left until we have a coefficient between 1 and 10. In this case, we need to move the decimal point 7 places to the left, which gives us 9.647.

The next step is to determine the power of 10. Since we moved the decimal point 7 places to the left, the power of 10 is 7.

Therefore, we can express 96,470,000 in scientific notation as 9.647 × 10⁷.

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Answer:

9  ounces

Step-by-step explanation:

The information in the question given

The family size bottle of sunscreen holds 12 fluid ounces of sunscreen.

The regular bottle holds 75% less.

we need to find that how many fewer fluid ounces does the regular bottle of sunscreen hold?

Now given family size bottle holds 12 fluid ounces. But regular bottle has 75% less, therefore it can be measured as below

75/100 x 12 = 9 ounces

So the regular bottle holds 9 ounces of fluid.