Bob's Trees are selling trees. You have decided to buy some holiday trees to
donate to local nursing homes. They are selling for $50 each. If you have a
total of $400.00 to spend, how many trees were you able to donate?

Answer:

114 cents

Step-by-step explanation:

1. 66÷22=3 cents per inch

2. 3×38=114

3. 114 cents ($1.14) for 38 inches

Answer:

z -score = 0.0459

Step-by-step explanation:

Given that:

the number of children with food allergies at a sample of elementary schools: 3, 9, 5, 5, 14, 10, 5, 11, 9, 6, 1, 8, 10, 7, 9, 13, 18, 9, 8, 11, 9, 7, 6, 14, 12.

The objective is to find the z- score , but before we can do that , we need to determine the mean and the standard deviation of the sample.

Mean = sum of the sample/ total number of the sample

Mean = (3+9+ 5+ 5+ 14+ 10+ 5+ 11+ 9+ 6+ 1+ 8+ 10+ 7+ 9+13+ 18+ 9+ 8+11+ 9+ 7+ 6+ 14+ 12)/25

Mean = 219/25

Mean = 8.76

Standard deviation = \(\sqrt{\dfrac {\sum (x_i - \mu)^2}{N}}\)

Mean (in order )= 1, 3,5,5,5,6,6,7,7,8,8,9,9,9,9,9,10,10,11,11,12,13,14,14,18)

Standard deviation = \(\sqrt{\dfrac { (8.76 - 1)^2}{25} + \dfrac { (8.76 - 3)^2}{25} +\dfrac { (8.76 - 5)^2}{25} +...+ \dfrac { (8.76 - 18)^2}{25} }\)

Standard deviation = 5.2174

The standard z score formula is:

\(z = \dfrac{X- \mu}{\sigma}\)

where X = median (13th observation ) = 9

\(z = \dfrac{9- 8.76}{5.2174}\)

\(z = \dfrac{0.24}{5.2174}\)

z -score = 0.0459

33°

Since it's a right triangle that has an immediate 90° angle, we have 90°'s left to worry about. We have two angles to worry about it, and since one angle is bigger than the other by 24°, it means that the gap between them is 24°. After doing some mental math, you get 57° + 33°. The gap between them is 24°, and they add up to 90°. Finally, since you're looking for the smaller angle in this problem, then 33° would be your answer.

The new coordinates of the polygon after dilation are:

A'(-2, 3)

B'(-1, 1)

C'(2, -1)

D'(2, 2)

Dilation simply means we are changing the size of an object without changing its shape. The size of the object may be increased or decreased based on the scale factor.

Now, we are given the original coordinates of the polygon as:

A(-4, 6), B(-2, 2), C(4, -2), D(4, 4)

Now, if the scale factor was 1/2 which is one half, then it means we multiply each coordinate by 1/2 to get the new coordinate after dilation. Thus, we have:

A(-4, 6) * 1/2 = A'(-2, 3)

B(-2, 2) * 1/2 = B'(-1, 1)

C(4, -2) * 1/2 = C'(2, -1)

D(4, 4) * 1/2 = D'(2, 2)

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The amount (present value at age 60) that Sandro would neet in his retirement savings account in order to have a monthly income of $1,500 until he is 90 years old, compounded at 4.5% monthly is $296,041.74.

The present value is computed using an online fiance calculator that discounts the future withdrawals (monthly income) for a 360-months period.

End of withdrawal period = 90 years old

Beginning of withdrawal period = 60 years old

The number of years between 60 and 90 = 30 years

N (# of periods) = 360 months (30 years x 12)

I/Y (Interest per year) = 4.5%

PMT (Periodic Payment) = $-1,500

FV (Future Value) = $0

Results:

Present Value (PV) = $296,041.74

Sum of all periodic payments = $540,000 ($1,500 x 360 months)

Total Interest = $243,958.26

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Answer:

64

Step-by-step explanation:

Substitute the values so (3-2(-1/2))3

Then distribute so (3-(-1))3

Add since it's a double negative to get (4)3

And 4 cubed is 64

Micaela will decorate 86.4 square inches of the box's surface area. To find the surface area of the box, we need to calculate the area of each of its faces and then add them up.

The box is in the shape of a triangular pyramid, so it has four faces, each of which is an equilateral triangle.

To find the area of an equilateral triangle, we need to know its side length. Looking at the net, we see that each of the triangular faces has a base of 8 inches and two equal sides of 6.93 inches.

To find the height of each triangle, we can use the Pythagorean theorem. The height is the square root of the difference between the length of the base and half the length of one of the sides, squared, and the length of one of the sides, squared.

\(height = sqrt(6.93^2 - (8/2)^2) = sqrt(29.13) ≈ 5.4 in\)

Now we can find the area of one of the triangles using the formula:

area = (1/2) * base * height

area = (1/2) * 8 in * 5.4 in ≈ \(21.6 in^2\\\)

Since there are four triangles, the total surface area of the box is:

total surface area = \(4 * 21.6 in^2 = 86.4 in^2\)

Therefore, Micaela will decorate 86.4 square inches of the box's surface area.

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Answer:

5 > \(\sqrt{18\)

Step-by-step explanation:

The square root of 18 is approximately 4.24.

5 is greater than 4.24, so we can use the inequality sign >.

Answer:

2/3(cx+1/2)-1/4=5/2. CX=29/8

Answer:

3/4

Step-by-step explanation:

Hope this helps! :)

Answer:

1 is the answer to 1/2+1/2

Answer:

1

Step-by-step explanation:

if you add 1/2 and 1/2, you get 2/2 which is also equal to 1.

Based on the calculations, the surface area of this rectangular prism is equal to 49,408 square inches.

Given the following data:

An equation can be defined as a mathematical expression which shows that two (2) or more thing are equal.

Mathematically, the surface area of a rectangular prism can be calculated by using this equation or formula:

SA = 2(WH + LW + LH)

Where:

Conversion:

1 feet = 12 inches

114 feet = L inches

Cross-multiplying, we have:

L = 12 × 114

L = 1,368 inches.

Substituting the given parameters into the formula, we have;

SA = 2(8 × 10 + 1,368 × 8 + 1,368 × 10)

SA = 2(80 + 10,944 + 13,680)

SA = 2(24,704)

SA = 49,408 square inches.

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Answer:

\(\Huge \boxed{\boxed{ x = 1}}\)

Step-by-step explanation:

Isolate the variable on one side of the equation before trying to solve it. It means that you should only have constants (numbers) on the other side of the equal sign and the variable alone on the one side.

To do this, you can add, subtract, multiply, divide, or use any other operation to both sides of the equation as long as you do the same thing on both sides.

Your final step depends on the equation and how you've simplified it. In general, you want to figure out how you arrived at the final equation by working backwards from it. You'll isolate the variable in the last action you took.

-------------------------------------------------------------------------------------------------------------

Step1: Subtract \(\bold{2x}\) from both sides

Step 2: Subtract 3 from both sides

Step 3: Divide both sides of the equation by 6

So the solution to the equation \(\bold{8x + 3 = 2x + 9}\) is \(\bold{x = 1}\).

-------------------------------------------------------------------------------------------------------------

Answer:Uswi

Step-by-step explanation:

Usisisiisisssjsjjzzjhsajasushshshshshshshshshhshshsshhshashshshsu nshshsyshshshysysywhwuzusjzuzhs uusahjasks.usuajamz

Answer:4/7*1/4

trust me >:)

Siama and Wills used different methods to find the differences between (5x + 6x) and (2x - 1) but they both arrived at the same answer.

I prefer Wills method because it is easier and less complicated.

Wills method:

(5x + 6x) - (2x - 1)

Subtract both 2x and -1

5x + 6x - 2x - - 1

5x + 4x + 1

In conclusion, Wills method is preferred when both methods are compared.

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Answer:

7 lbs   4 oz

Step-by-step explanation:

6 lb 10 oz

   + 10 oz

---------------------

6 lbs  20 oz

But we know that there are 16 oz in 1 lb

So subtract 16 oz and add 1 lb

6 lbs  20 oz

+1 lb   - 16 oz

--------------------------

7 lbs   4 oz

Answer:

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

In a set with mean \(\mu\) and standard deviation \(\sigma\), the zscore of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this question, we have that:

\(\mu = 39368, \sigma = 2367\)

What percentage of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe?

This is 1 subtracted by the pvalue of Z when X = 44520. So

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{44520 - 39368}{2367}\)

\(Z = 2.18\)

\(Z = 2.18\) has a pvalue of 0.985

1 - 0.985 = 0.015

0.015 = 1.5% of BMW dealers are pricing the BMW 3 Series Coupe 335i at more than the average price ($44,520) for a Mercedes CLK350 Coupe

Answer:

Step 2:

Part A

f(x) = a(x-h)^2 +k

Part B

I'm not really sure about this part

Part C

f(x)=-12/25(x-25)^2+32

Step 3:

Part A

y = ax^2 + bx + c

Part B

f(x) = -12/25(x - 25)^2 + 32

Part C

a = -12/25

b = 0

c = 32

Step-by-step explanation:

Hope This Helps!

Sorry For Taking So Long!

Answer:

For Step 3 Part B, the equation is

Step-by-step explanation:

f(x)= -0.48xˆ2+24x-268

\(m\% \: \: of \: \: p\% \: \: of \: \: n \\ = \frac{m}{100} \times \frac{p}{100} \times n \\ = \frac{m \times p \times n}{100 \times 100} \\ = \frac{mnp}{10000} \)

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

He has to make a down payment of $89,460

Explanation:

Here, we want to calculate the minimum down payment Gerry must make

Firstly, we need to calculate the total package on the loan

This will include the total amount he has to payback which is the capital plus the interest on the capital

Thus, we need to calculate this amount

Mathematically, we have that as:

A is the total amount owed

P is the principal which is the amount borrowed which is $250,000

r is the interest rate which is 1.9% = 1.9/100 = 0.019

T is the time on the loan which is 20 years

n is the number of times per year loan is compounded (since payment will be monthly, this will 12)

We have the amount calculated as:

The above has been rounded to the nearest 10 dollars

Now, he can afford a monthly payment of $1,150

If this works, the amount he would have paid at the end of the 20 years will be:

Now, the minimum downpayment would be the difference between the total sum owed and the sum of all his monthly payments

We have this as:

The true statement about the axis of rotation is the option;

It is parallel to a side of the equilateral triangle, but is separate from the equilateral triangle.

The axis of rotation is a straight line around which all points on a rotating body rotates.

The diagram shows a figure with a hollow cylindrical cross section and triangular cross section on the left and right, which indicates that the figure is created by the rotation of the equilateral triangle about height of the cylinder, such that the axis of rotation is a vertical line through the center of the hollow cylinder. Therefore, the axis of rotation is parallel to the height of the cylinder, and therefore, it is parallel to the base of the equilateral triangle, but it it seperate from walls of the cylinder, and therefore, separate from the equilateral triangle

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Answer:

x = x + 2 = 7, x

y =y = x2

This is the correct answer so thanks me when done

Answer:

x = 15 , y = 7

Step-by-step explanation:

2(5x - 5) and (3x - 5) are a linear pair and sum to 180° , that is

2(5x - 5) + (3x - 5) = 180 ← distribute the parenthesis on the left side

10x - 10 + 3x - 5 = 180

13x - 15 = 180 ( add 15 to both sides )

13x = 195 ( divide both sides by 13 )

x = 15

---------------

3x - 5 = 3(15) - 5 = 45 - 5 = 40

3x - 5 and 5y + 5 are vertically opposite angles and are congruent, so

5y + 5 = 40 ( subtract 5 from both sides )

5y = 35 ( divide both sides by 5 )

y = 7

The machine's equation for producing 5 miles of ribbon per hour

the machine makes 40 miles of ribbon in 8 hours.

The machine's equation for producing 8 miles of ribbon per hour

the machine makes 64 miles of ribbon in 8 hours.

In one hour, a machine can produce 5 miles of ribbon.

1 hour = 5 miles

The answer to how much ribbon, r, is produced after x hours is

1 hour = 5 miles

x hours = r miles

multiplying

r = 5x

In 8 hours

R = 5x = 5*8 = 40 miles.

The machine produces 40 miles of ribbon in 8 hours.

Another machine can produce 8 miles of ribbon.

1 hour = 8 miles

The answer to how much ribbon, r, is produced after x hours is

1 hour = 8 miles

x hours = r miles

multiplying

r = 8x

In 8 hours

R = 8x = 8 * 8 = 64 miles.

The machine produces 64 miles of ribbon in 8 hours.

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The line is a dashed line, it means that the line is not included in the solution and the equation must have the symbol > or < not ≥ or ≤.

By looking at the graph we can see that the line crosses the y-axis at y=4.

Slope intercept equation:

y= mx +b

Where :

m= slope

b= intercept (4)

To find the slope we can see that moving from left to right, the line goes down 2 units (-2) for every unit to the right.

m= rise / run = -2/1 = -2

Final equation:

y> -2x+4

the solution is above the line, so y it's greater than the line.

The value of m that satisfies the equation -3 + m = 9 is m = 12.

To solve the equation -3 + m = 9, we can isolate the variable m by moving the constant term -3 to the other side of the equation.

-3 + m = 9

To move -3 to the other side, we can add 3 to both sides of the equation:

-3 + 3 + m = 9 + 3

Simplifying, we have:

m = 12

Therefore, the value of m that satisfies the equation -3 + m = 9 is m = 12.

None of the provided answer options (A, B, C, D) match the correct solution.

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