which expression is equivalent to (5y+4) - 2 (7 - 2)

A. y-10
B. 9y+18
C.3y - 10
D. 9y-10

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.

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.

The answer is 68

Hope I could help you!

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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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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

the answer is 11 :))

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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The best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.

The best estimate of the number of ounces that are needed is calculated as follows;

To determine the number of ounces needed when a recipe calls for 1/3 cup of water, we can use the fact that there are 8 ounces in a cup.

Since 1/3 is a fraction, we need to divide 8 ounces by 3 to find the amount of water needed for 1/3 cup.

8 ounces ÷ 3 = 2.6667 ounces (rounded to four decimal places)

Rounding it to a reasonable decimal place, the best estimate for the number of ounces of water needed when a recipe calls for 1/3 cup is approximately 2.67 ounces.

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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.

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.

Let us try to explain each option one by one.

a) a street has a width of 5 meters

This is quite reasonable as the width of street can be approximately 5 meters.

b. a cat has a mass of 5 grams

The mass of a newborn cat is 99 grams. So no cat can weigh 5 grams, as its too small.

c.a swimming pool has a capacity of 5 liters

5 liters is too small quantity for a small sized swimming pool too.

d. a beetle has a mass of 5 kilograms

A beetle is a small creature measuring mostly in grams.

So answer is option a. a street has a width of 5 meters

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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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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In the fraction 15⁄7, 15 is the numerator, indicating the number of parts considered, while 7 is the denominator, indicating the total parts in a whole.

In the fraction 15⁄7, 15 is the numerator. This is the part of the fraction that represents the number of equal parts being considered. In contrast, the 7 represents the denominator, which indicates the total number of equal parts that make up a whole.

When you see a fraction, the top number, which is called the numerator, answers the question of 'how many parts you have.' The bottom number, the denominator, answers 'how many parts the whole is divided into.' Therefore, in the given fraction, you have 15 parts out of a total of 7 parts, which suggests that you have more than one whole - this is known as an improper fraction, because the numerator is larger than the denominator.

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.

Answer:

Step-by-step explanation:

what 9x11

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.

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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Answer:

60

Step-by-step explanation: