This is on a practice assessment, not for a grade therefore I need help solving this because I completely forgot what to do

Answer:

Step-by-step explanation:

208

The percentage of the class that are boys is 48%.

In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other. In simpler term ratio compares two values.

Therefore, the ratio of the number of boys to the number of girls in a class is 12 : 13.

The percentage of the class that are boys can be calculated as follows:

percentage of the class that are boys = 12 / 25 × 100

percentage of the class that are boys =  1200 / 25

percentage of the class that are boys = 48%

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Step-by-step explanation:

Topic :- Percentage Increase

= Cost price × Rate/one hundred

⇒ 34.90 × 9/100

⇒ 314.1/100

⇒ 3.141

Therefore, the sale tax of the elephant would be $3.141

Answer:

3.15

Step-by-step explanation:

The perimeter of the given window is 48 centimeter.

From the given figure,

Perimeter of window = 2(Length+Breadth)

= 2(10+14)

= 2×24

= 48 centimeter

Perimeter of house = 2(Length+Breadth)

= 2(37+35)

= 2×72

= 144 centimeter

Perimeter of roof = 2(Length+Breadth)

= 2(37+5)

= 2×42

= 84 centimeter

Therefore, the perimeter of the given window is 48 centimeter.

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Answer:

20025

Step-by-step explanation:

the answer is

20.025 m

= 20.025×1000 cm

= 20025 cm

The percentage that can be filled with $3 in 1990 is: 29.41%

To calculate percentage growth rate:

Beginning:

Calculate the difference (increase) between the two numbers you are comparing. after that:

Divide the increment by the original number and multiply the result by 100. Growth rate = increment / original number * 100.  

We are told that it cost $3 to fill a gas tank as at 1970.

Now, there was a percentage price increase of (78.8 - 23.1)% = 55.2% from 1970 to 1990. Thus:

Cost of a gallon in 1970 = $0.36

Thus, number of gallons bought with $3 = 3/0.36 = 8.33 gallons at full tank

Now, in 1990, the cost is $1.23 and as such:

Quantity that can be bought = 3/1.23 = 2.45 gallons

Percentage of tank filled = 2.45/8.33 * 100% = 29.41%

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9514 1404 393

Answer:

  37°

Step-by-step explanation:

The diagonals of a rhombus are angle bisectors. Angle 1 matches the other half of angle L.

  ∠1 = 37°

__

Angle 2 is the complement, 53°, and angle 3 is the same as angle 2, 53°.

The diagonals of a rhombus are perpendicular bisectors of each other, so angle 4 is 90°.

The two equations which can be used to represent the situation are;

r + s = 1787

4r + 3s = 5,792

The correct answer choice is option B and E

Reserved seat for basketball game = r

Students seat for basketball game = s

Cost of reserved seat tickets = $4

Cost of students tickets = $3

Total number of people who attended the basketball game= 1,787 people

Total amount earned for tickets sales= $5,792

r + s = 1787

4r + 3s = 5,792

Therefore, the basketball game situation can be represented by the equation r + s = 1787; 4r + 3s = 5,792

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Answer:

\(\huge\boxed{\sf(2, -5)}}\)

Step-by-step explanation:

Hello.

The x-coordinate is always the first, so find the x-axis and count down.

Remember, the x-axis is horizontal (like this: ------------------->)

The x-coordinate of Dallas is 2.

Now, the y-axis is vertical.

Find it and count down.

The y-coordinate is -5.

I hope it helps.

Have a nice day.

\(\boxed{imperturbability}\)

Answer:

The answer would be A

You are trying to find an area and A is the only correct way to do an area.

Step-by-step explanation:

Hope this helped.

A brainliest is always appreciated.

Answer:no idea

Step-by-step explanation:

9514 1404 393

Answer:

  \(\displaystyle\sqrt{x+7}-\log{(x+2)}\)

Step-by-step explanation:

It's pretty straightforward. You want ...

  f(x) - g(x)

Substituting the given function definitions gives ...

  \(\displaystyle\boxed{\sqrt{x+7}-\log{(x+2)}}\)

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

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Answer:

The set of points that lies on the graph of the function is A, {(0, 0), (-1, -1), and (1, 1)}.

This can be verified by plugging the points into the equation y = x. When x = 0, y = 0. When x = -1, y = -1. Finally, when x = 1, y = 1. Therefore, all three points lie on the graph.

To verify this further, we can calculate the slope of the line using two points. The slope of the line is calculated by taking the difference in the y-values and dividing by the difference in the x-values. For example, to calculate the slope between the points (0, 0) and (-1, -1), we take the difference in the y-values (-1 - 0) and divide it by the difference in the x-values (-1 - 0). This results in the slope being -1. Since the slope is -1, this means that the points are lying on the graph of the function  y = x.

Step-by-step explanation:

Final Answer: \(x = 5\)

Steps/Reasons:

Hey there!

Step 1: Subtract \(3x\) from both sides.

\(5 = 4x - 3x\)

Step 2: Simplify \(4x - 3x\) to \(x\).

\(5 = x\)

Step 3: Switch Sides.

\(x = 5\)

~I hope I helped you :)!

Answer:

Step-by-step explanation:

1/x - 7/104 = 3/52

1/x = 6/104 + 7/104 = 13/104

104/13 = x

Answer:

x = 62

Step-by-step explanation:

62 and x are alternate exterior angles and alternate exterior angles are equal when the lines are parallel

Answer:

$980

Step-by-step explanation:

Step 1: Find \(\frac{1}{5}\) of 2100 = 420

Step 2: Find \(\frac{1}{3}\) of 2100 = 700

Step 3: Add both results together

\(420 + 700 = 1120\)

Step 4: Subtract the result from how much joe earns ($2,100)

\(2100 - 1120 = 980\)

Joe has $980 left

If Joe earned 2,100$ and He spent 1/5 on rent and 1/3 on food, Joe had $980 left after paying for rent and food.

Joe earned $2,100 and spent 1/5 of it on rent and 1/3 on food. To calculate the amount he spent on rent, we need to find 1/5 of $2,100, which is

(1/5) * $2,100 = $420.

Similarly, the amount he spent on food is found by calculating 1/3 of $2,100, which is (1/3) * $2,100 = $700.

To determine how much money Joe had left, we subtract the total amount he spent from his earnings. Adding the amounts spent on rent and food, we get $420 + $700 = $1,120.

To find the money Joe had left, we subtract the total spent from his earnings: $2,100 - $1,120 = $980.

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The amount that will be charged in prepaid interest on a $250,000 loan with an APR of 5.25% closed on April 12th is $9,457.19.

The APR represents the annual percentage rate.

The annual percentage rate is the interest rate for the year, including other finance charges.

To compute the interest, the annual percentage rate is multiplied by the loan amount and the period divided by 365 days.

Loan amount = $250,000

Annual percentage rate (APR) = 5.25%

Loan closing date = April 12th

April 12th to December 31st = 263 days

Interest for the year = $9,457.19 ($250,000 x 5.25% x 263/365)

Thus, for the year, the interest is $9,457.19.

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The probability that a student chosen randomly from the class has a brother is 50%.

Probability is the occurence of likely events. It is the area of mathematics that deals with numerical estimates of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1.

From the information given, eight have a brother and six have a sister.

The probability that a student chosen randomly from the class has a brother will be:

= Those that have a brother / Total siblings × 100

= 8 / 16 × 100

= 50%

In conclusion, the probability is 50% for a student who has a brother.

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In a class of 26 eight have a brother and six have a sister there are two students who have a brother and sister what is the probability that a student chosen randomly from the class has a brother

Answer:

X= 1/5

Step-by-step explanation:

Answer:

C. (5, 5)

Step-by-step explanation:

To do this, you take each coordinate and perform the function that is shown in the translation.

So for (x-2, y+3),

you are going to take the x value of the coordinate you are given:

(7,2) and subtract 2, and then take the y value of (7,2) and add 3.

(7 - 2, 2 + 3)

Then solve this:

(5, 5)

Answer: Laura, Jill, Fiona, Oscar

Step-by-step explanation: Plot each person out on a graph, then find there distance between Marcia.

The balance sheet attached shows the Total Assets to be $55.968M  and Total Liabilities and Capital to be $252M respectively.

1. Assets:

  a. Cash in Reserves:

The required reserves are 5.4% of checkable deposits.

Therefore, the required reserves amount to 5.4% of $92 million, which is:

(0.054 * $92 million) = $4.968 million.

This amount is considered a liability for the bank, but it is held as an asset in the form of cash reserves.

  b. Loans: The bank made a $28 million commercial loan and a $23 million mortgage loan. Therefore, the total loans amount to:

total loan =  $28 million + $23 million

                 = $51 million.

2. Liabilities:

  a. Checkable Deposits:

The bank received $92 million in checkable deposits.

  b. Required Reserves:

As mentioned above, the required reserves amount to $4.968 million.

3. Capital:

  The bank started with $155 million in capital.

Based on the above information, the bank's balance sheet would look as attached.

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17

Explanation

The distributive property of multiplication states that when a number is multiplied by the sum of two numbers

the first number can be distributed to both of those numbers and multiplied by each of them separately, then adding the two products together for the same result as multiplying the first number by the sum

so, 85 can be written as

hence

I hope this helps you

Answer:

2.4

Step-by-step explanation:

Evaluating \( \frac{16.8 - 1.2^2}{-4.3 + 3(-0.7)} \)

\( = \frac{16.8 - 1.44}{-4.3 + (-2.1)} \)

\( = \frac{15.36}{-4.3 - 2.1)} \)

\( = \frac{15.36}{-6.4)} \)

\( = \frac{15.36*10^2)}{-6.4*10^2)} \) (multiplying the numerator and denominator by 100)

\( = \frac{1536}{640)} \)

\( = 2.4 \)

The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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Answer:

1) correct

2) correct

3) incorrect, x = 11

4) incorrect, x = 50

Step-by-step explanation:

3) 90-35 = 5x

5x = 55

x = 11

4) 90-56 = (x-16)

x-16 = 34

x = 50

Answer:

Step-by-step explanation:

3) 5x +  35 = 90 {Complementary angles}

          5x = 90 - 35

          5x = 55

            x = 55/5

             x = 11

4) 56 +x - 16 = 90 {Complementary angles}

         x + 40 = 90

                x = 90 - 40

               x = 50

Answer: It would cost $47.3 to fill the same tank in 2010

Step-by-step explanation:

In 1970

Total cost to fill the tank = $6

Cost per capacity of tank = $0.36

Capacity of tank = Total cost / Cost per capacity of tank

Capacity = 6/0.36

Capacity = 16.6

Therefore

In 2010

Cost per capacity of tank = $2.84

And we now know it capacity = 16.6

Total cost to fill the tank = 2.84 * 16.6

Total cost = $47.3

Hope this helps have a awesome day ❤️✨

2w - 5

This is the right expression