Mathematics College

Find the volume of the figure?

Answers

Answer 1

Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

Related Questions

what is the mode median mean and range of 4,5,0,2,3,1

Answers

Answer:

Mode = none, Median = 2.5, Mean= 2.5

Step-by-step explanation:

Hope this helps! :)

Step-by-step explanation:

the mode is the data item that occurres the most often.

but in 4, 5, 0, 2, 3, 1 every number appears only once. so, the mode is 0, 1, 2, 3, 4, 5 (as special case this average number can have more than one value - like in our case here).

the median is the value in the data set that lies directly in the middle between the other values (half of them are higher, the other half is lower).

if our data set has an even number of data points, or there is no unique middle value for other reasons, then the median is the mean value of the 2 middle values.

in our case 2 and 3 are the 2 middle values, so the median is (2+3)/2 = 2.5

the mean value is directly the average value across the whole data set : the sum of all values divided by the number of values.

(0+1+2+3+4+5)/6 = 15/6 = 2.5

the range is the difference between the highest and the lowest value in the data set : 5 - 0 = 0

Find the interest paid on a loan of $8,000 for 1 year at a simple interest rate of 8% per year.
O A. $720
O B. $64
C. $8.640
O D. $640

Answers

Answer:

The answer is $64.

Formula for simple Interest is P x R x T/100. Which is $8000 x 8 x 1/100 = $64

1) Debbie bought 8 oranges and 7 apples for $10.20. Katrina bought 5 oranges and 14 apples for $12.15. How much did one apple and one orange cost?

2) Joel and Janie are selling fruit. Joel sold 2 small boxes of fruit and 5 large boxes for $31. Janie sold 4 small boxes of fruit and 7 large boxes for $47. How much does one small box of fruit and one large box of fruit cost?

3) Carmen is trying to decide which jet ski rental plan to use. Plan A charges a one-time fee of $40 and $25 per hour. Plan B charges a one-time fee of $60 and $15 per hour. After how many hours will the plans cost the same?

4) Julie and Wendi purchased cell phones. Julie’s phone cost $50 and she pays $0.35 per minute. Wendi’s phone cost $70 and she pays $0.15 per minute. After how many minutes of use will Julie’s phone cost more than Wendi’s?

5) 78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?

6) 168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?

7) Christina spent $81.25 on books. Comic books cost $2.25 each and novels cost $7.00 each. If she bought 15 books, how many comic books did she buy?

8) Tina bought 8 pieces of clothing for a total of $164. Jeans cost $22 each and shirts cost $18 each. How many shirts did Tina buy?

9) Farmer Brown had 25 cows and chickens. They had a total of 72 legs. How many cows and how many chickens did Farmer Brown have?

10) Farmer Brown had 28 cows and chickens. They had a total of 96 legs. How many cows and how many chickens did Farmer Brown have?

What you need to do:

Please WRITE both equations for each problem, identify what your variables represent, and solve the system.

I don’t know what to do, so please help me understand by explaining how you got the answer.
I WANT TO LEARN FROM YOU! :)
- Will give BRAINLIEST if it gives me the option -

Answers

Hey there!

Question no.5:

78 students went on a field trip. They went by van or car. The total number of cars and vans were 10. Each car held 5 students and each van held 12 students. How many cars and how many vans went on the field trip?

Solution:

Let the number of cars be "x" and the number of vans be "y".

According to question,

x + y = 10 5x + 12y = 78 -->(ii)

=> 5(x + y) = 10 × 5

=> 5x + 5y = 50 -->(i)

By Elimination method,

Equation (i) - (ii) we get,

(5x + 5y) - (5x + 12y) = 50 - 78

=> 5x + 5y - 5x - 12y = - 28

=> - 7y = - 28

=> 7y = 28

=> y = 28/7

=> y = 4

Putting the value of "y" in Equation (i)

5x + 5y = 50

=> 5x + 5 × 4 = 50

=> 5x + 20 = 50

=> 5x = 50 - 20

=> 5x = 30

=> x = 30/5

=> x = 6

Therefore,

The total number of cars went = 6

The total number of vans went = 4

====================================================

Question no.6:

168 students went on a field trip. They took a total of 10 vans and buses. Each bus held 42 students, and each van held 6 students. How many vans went on the field trip?

Solution:

Let the number of buses be "x" and the number of vans be "y".

According to question,

x + y = 10 42x + 6y = 168 -->(ii)

=> 42(x + y) = 10 × 42

=> 42x + 42y = 420 -->(i)

By Elimination method,

Equation (i) - (ii)

(42x + 42y) - (42x + 6y) = 420 - 168

=> 42x + 42y - 42x - 6y = 252

=> 36y = 252

=> y = 252/36

=> y = 7

Putting the value of "y" in Equation (ii)

42x + 6y = 168

=> 42x + 6 × 7 = 168

=> 42x + 42 = 168

=> 42x = 168 - 42

=>42x = 126

=> x = 126/42

=> x = 3

Therefore,

Total number of buses went = 3

Total number of vans went = 7

Refer to the graph representing the number of hybrid cars sold in January in the United States for the given years.
What is the difference between the January sales in 2008 and 2007?
The difference is _____ cars.

Answers

Answer:

First, let's find how many hybrid cars are sold during those two years.

2007 = 17,300 hybrid cars were sold

2008 = 22,600 hybrid cars were sold

Find the difference by subtracting the cars in 2007 from 2008.

22,600(2008) - 17,300(2007)

= 5,300

The difference is 5,300 cars.

A homebuyer is building a home and has sat down with an architect. The buyer tells the architect the perimeter of the house must be 200
feet. The dimensions of the house that would give the buyer the maximum area would be which of the following?
A 10 x 90 feet
B 20 x 80 feet
C 30 x 70 feet
40 x 60 feet
E 50 x 50 feet

Answers

Answer:

[tex]50\; {\rm ft} \times 50\; {\rm ft}[/tex] would maximize the area for a rectangle with the given circumference of [tex]200\; {\rm ft}[/tex]. (Note, that a circle of the same circumference would have an even larger area.)

Step-by-step explanation:

Assume that the base of the house is a rectangle. Let the length of the two sides be [tex]x\; {\rm ft}[/tex] and [tex]y\; {\rm ft}[/tex], respectively. The goal is to find the [tex]x[/tex] and [tex]y[/tex] that:

[tex]\begin{aligned} \text{maximize} \quad & x\, y \\ \text{subject to} \quad & 2\, (x + y) = 200 \\ & x > 0 \\ & y > 0 \end{aligned}[/tex].

Using the equality constraint [tex]2\, (x + y) = 200[/tex] (or [tex]x + y = 100[/tex]), the variable [tex]y[/tex] could be replaced with [tex](100 - x)[/tex] to obtain an equivalent problem of only one variable:

[tex]\begin{aligned} \text{maximize} \quad & x\, (100 - x) \\ \text{subject to} \quad & x > 0 \\ & (100 - x) > 0 \end{aligned}[/tex].

Simplify to obtain:

[tex]\begin{aligned} \text{maximize} \quad & -x^{2} + 100\, x \\ \text{subject to} \quad & x > 0 \\ & x < 100 \end{aligned}[/tex].

The objective function of this problem is [tex]f(x) = -x^{2} + 100\, x[/tex]. Derivatives of this function include

[tex]f^{\prime}(x) = -2\, x + 100[/tex] and[tex]f^{\prime\prime}(x) = -2[/tex].

Since [tex]f^{\prime\prime}(x)[/tex] is constantly less than [tex]0[/tex], [tex]f(x)[/tex] is concave and would be maximized when [tex]f^{\prime}(x) = 0[/tex].

Setting [tex]f^{\prime}(x) = -2\, x + 100[/tex] to [tex]0[/tex] and solving for [tex]x[/tex] gives:

[tex]-2\, x + 100 = 0[/tex].

[tex]x = 50[/tex].

Notice that [tex]x = 50[/tex] satisfies both constraints: [tex]x > 0[/tex] and [tex]x < 100[/tex]. Therefore, [tex]x = 50[/tex] is indeed the solution that maximizes the area [tex]f(x) = -x^{2} + 100\, x[/tex] while at the same time meeting the requirements.

With the length of one side being [tex]x = 50[/tex] ([tex]50\; {\rm ft}[/tex],) the length of the other side would be [tex]100 - x = 50[/tex] ([tex]50\; {\rm ft}\![/tex].) Hence, a rectangular house of dimensions [tex]50\; {\rm ft} \times 50\; {\rm ft}[/tex] would maximize the area under the given requirements.

Question 26 of 27
Find the value of x that makes ABCD a parallelogram.

Answers

Answer:

60°

Step-by-step explanation:

→ Find the sum of the angles

70 + 70 + x + 50 + x + 50 = 2x + 240

→ Equate the expression to 360

2x + 240 = 360

→ Minus 240 from both sides

2x = 120

→ Divide both sides by 2

x = 60

Mai drank x oz of juice and Kiran
drank more than that.

Answers

Answer:

x≤k

Step-by-step explanation:

k= how many oz. Kiran drank. -Crispin

Given rectangle WSDV, WD = 5−31 and SV = 2+11. Find the measurement of diagonal SV

Answers

Answer:

wheres tha rectangle

Step-by-step explanation:

Help. Parallelogram ABCD is shown with vertices A(−2, 3), B(3, 3), C(2, −3) and D(−3, −3)

Answers

The coordinates of the image of the parallelogram ABCD after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

How to determine the final vertices?

The coordinates of the parallelogram ABCD are given as:

A(−2, 3), B(3, 3), C(2, −3) and D(−3, −3)

When reflected across the y-axis, the rule of transformation is:

(x,y) -> (-x,y)

So, we have:

A'(2, 3), B'(-3, 3), C'(-2, -3) and D'(3, −3)

When rotated by 180 degrees, the rule of transformation is:

(x,y) -> (-x,-y)

So, we have:

A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

Hence, the coordinates after the transformations are A''(-2,-3), B'(3, -3), C'(2, 3) and D'(-3, 3)

Answers

Answer:

3(x-6)+9=27

Step-by-step explanation:

1. Multiply 3 to x-6

3x-18+9=27

2. add -18 and 9

3x-9=27

3. add 9 to 27

3x=36

4. Divide 36 and 3

x=12

What is standard deviation?

Group of answer choices

The difference in the maximum and minimum valudes of the data set.

measure of how dispersed the data is in relation to the mean.

The difference in Quartile 3 and Quartile 1.

the center of the data

Answers

Answer:

The difference in Quartile 3 and Quartile 1.

Find the area of the figure.

Answers

Answer:

[tex]\huge\boxed{\sf 9300\ m\²}[/tex]

Step-by-step explanation:

The figure is made up of:

A rectangle A triangle

Formula for area of rectangle:

Length × Width

Formula for Area of triangle:

[tex]\displaystyle =\frac{1}{2} (Base)(Height)[/tex]

Area of rectangle:

Length = 90 m

Width = 70 m

= Length × Width

= 90 × 70

= 6300 m²

Area of Triangle:

Base = 170 - 70 = 100 m

Height = 90 - 30 = 60 m

[tex]\displaystyle =\frac{1}{2} (Base)(Height)\\\\= \frac{1}{2} (100)(60)\\\\= (50)(60)\\\\= 3000 \ m^2[/tex]

Total Area of the figure:

= Area of the rectangle + Area of the triangle

= 6300 + 3000

= 9300 m²

[tex]\rule[225]{225}{2}[/tex]

In 2010, a city’s population was 49,339 and it was declining at a rate of 1.06% each year.

Which is the best prediction for when the city’s population will first be below 35,000?

2036

2039

2042

2045

Answers

Answer: the answer is 2042 or C

Step-by-step explanation:

Answer:

2042

Step-by-step explanation:

took the test

I need help with this crazy Algebra 1a problem!
You have 14 coins in your pocket that are either quarters or nickels. The total value of the coins is $2.50.
A. Write a system of two equations that represents this situation. Let q represent the number of quarters and n represent the number of nickels.
B. Solve each equation for q.
D. What is the solution to the system?
E. Verify that the answer to part D is correct using the answer to part A.
F. How many of each coin are there?

Answers

Answer:

See below.

Step-by-step explanation:

A. First equation is

q + n = 14

then we have

0.25q + 0.05n = 2.5

Multiply last equation by -20

-5q - n = -50 Now add this to the first equation

-4q + 0 = -36

B. q = -36/-4 = 9.

D Substitute for q in the first equation

9 + n = 14

n = 14 - 9 = 5.

So the solution to the system is q = 9, n = 5.

E Verify this solution by substituting in the second equation:

0.25(9) + 0.05(5)

= 2.25 + 0.25 = 2.50.

- verified.

F. 9 quarters and 5 nickels.

four triangles are formed by joining the midpoints of three sides of an equilateral triangle

Answers

Answer:

all are congruent

Step-by-step explanation:

Four triangles are formed by joining the mid points of the three sides of a triangle then all are congruent as sides of all triangles will be same as they are formed by joining the mid points.

The sum of two numbers is 143 and their difference is 7. What are the numbers?

Answers

Answer:

The numbers are 75,68

Step-by-step explanation:

Let the number be a ,b

The sum of two numbers is 143

⇒ x + y = 143 -------------(I)

Their difference is 7

⇒ x - y = 7 --------------(II)

Add the equation (I) & (II) and thus y will be eliminated and we can find the value of x

(I) x + y = 143

(II) x - y = 7 {Now add}

2x = 150

x = 150 ÷ 2

x = 75

Substitue x = 75 in equaion (I)

75 + y =143

y = 143 - 75

y = 68

by selling an article for #2500 a trader made a profit of #200.find the percentage profit of the article.

Answers

Answer:

I'm going to assume the # is meant $, if that is the case then the trader made 8% profit

Step-by-step explanation:

200 out of 2500 is basically 200/2500. 200 divided by 2500 is 0.08, and to find the percent of a number you have to multiply it by ten (or just move the decimal two places to the right) 0.08 multiplied by 10 would give you 8, so the answer is 8 percent. Hope this helps!

what is the distance between these two numbers -3 1/4 and 4 1/2

Answers

Answer:

7 3/4

Step-by-step explanation:

Method 1:

Step 1: Instead of subtracting you distribute the minus sign to the number in the parenthesis

4 1/2 - (-3 1/4) = 4 1/2 + 3 1/4

Step 2: Then you can just add

4 1/2 + 3 1/4= 7 3/4

Method 2:

If you dont know fractions transfer them into decimals. 1/2 = 0.5 and 1/4 = 0.25

Step 1: Instead of subtracting you distribute the minus sign to the number in the parenthesis

4.5 - (-3.25) = 4.5 + 3.25

Step 2: Add the numbers

4.5 + 3.25= 7.75

Step 3: Convert the decimal back into a fraction

7.75= 7 3/4

find the volume of the prism

Answers

[tex] \huge\fbox\orange{ANSWER} [/tex]

[tex] \mathsf \purple{v = l \times w \times h}[/tex]

[tex] \mathsf \pink{v = 8 \times 2 \times 5}[/tex]

[tex] \mathsf \purple{v = 80 \: cubic \: units} [/tex]

Answer:

80 cubic units

Step-by-step explanation:

Given

Height = 5 unitsLength = 8 unitsWidth = 2 units

Volume = Length x Width x Height

V = 8 x 2 x 5V = 40 x 2V = 80 cubic units

Write an equation to find the value of x and solve it. Round your answer to the nearest tenth if necessary.

x =

Write your equation and explain how you came up with your equation and how you solved it. What concepts apply to this problem? How do you know your answer is correct?

Answers

Answer: x = 14

Step-by-step explanation:

The Payans have just learned that the bank will approve them for a mortgage at an APR of 4.3% for 30 years if they meet the back-end ratio requirement. To determine whether they’ll meet the requirement, the back-end ratio needs to be calculated with the actually monthly payment rather than the estimate used in part A. Use this monthly payment formula to calculate the Payans’ monthly mortgage payment.

Answers

The annual percentage rate (APR) for the Payans is the yearly interest rate that's generated by a sum charged to borrowers.

What is APR?

Your information is incomplete as the values aren't given. Therefore, an overview will be given. Here, the APR is the cost that one has to pay to borrow money and it's expressed as a percentage.

Also, the mortgage payment is made up of the principal and the interest payments. It's how one will pay back their home loan.

Learn more about APR on:

https://brainly.com/question/1686286

Answer:

1237.18

Step-by-step explanation:

You deposit all of your graduation money, $2,560, into an account earning 3.5% interest, compounded annually. You want to let it sit, no deposits or withdraws, while you are in college for 4 years. How much will you have at the end of 4 years? Round to the nearest cent.

Answers

Answer:

To calculate compounded interest, use the compound interest formula.

A(t)=P(1+rn)n⋅t

Recognize the information given in the problem.

P=2560,r=0.035,n=1,t=4

Substitute the values into the appropriate position in the formula.

A(4)=2560(1+0.0351)1⋅4

Simplify by multiplying and dividing by 1.

A(4)=2560(1+0.035)4

Simplify using the order of operations.

A(4)=$2,937.66

The balance at the end of 4 years would be $2,937.66.

Step-by-step explanation:

Solve the equation below by factoring:

Answers

[tex]\huge\fcolorbox{blue}{aqua}{Answer:}[/tex]

═════════════════════

Answer: =A.[tex]x = - 3[/tex] [tex]x = - 4[/tex]

Solution:

[tex]x ^ { 2 } +7x=-12[/tex]

[tex]x^{2}+7x+12=0 [/tex]

[tex]a+b=7 ab=12 [/tex]

[tex]1,12 2,6 3,4 [/tex]

[tex]1+12=13 2+6=8 3+4=7 [/tex]

[tex]a=3 b=4 [/tex]

[tex]\left(x+3\right)\left(x+4\right) [/tex]

[tex]x = -3[/tex] , [tex]x = -4[/tex]

so the answer is = A.

════════════════════

Explanation:

#Carry on learning

Ask: Which two numbers add up to 7
7 and multiply to 12?
3 and 4

Rewrite the expression using the above.
(x+3)(x+4) = 0
x+3=0 or x+4=0
So x = -3 or x= -4

A triangle has side lengths 25, 15x and 20x. The longest side is 25. What value for x proves that this triangle is a right triangle?

Answers

Answer:x = 1Step-by-step explanation:

To prove that this triangle is a right triangle, we need to check the side lengths using pythogoras theorem.

Given:

Longest side = 25 unitsTriangle side lengths: 25, 15x, and 20x

Putting the side lengths into pythogoras theorem:

⇒ [tex]25^{2} = 15^{2} + 20^{2}[/tex]⇒ [tex]625 = (10x + 5x)^{2} + (20x + 0x)^{2}[/tex]

Using the formula "(a + b)² = a² + 2ab + b²

⇒ [tex]625 =[(10x)^{2} + 2(10x)(5x) + (5x)^{2} ] + [(20x)^{2} + 2(20x)(0) + (0)^{2} ][/tex]⇒ [tex]625 = [(10x)(10x) + 2(10x)(5x) + (5x)(5x)] + [(20x)(20x)][/tex]⇒ [tex]625 =[100x^{2} + 100x^{2} + 25x^{2} ] + [400x^{2} ][/tex]⇒ [tex]625 = 100x^{2} + 100x^{2} + 25x^{2} + 400x^{2}[/tex]⇒ [tex]625 = 625x^{2}[/tex]

Divide both sides by 625:

⇒ [tex]\frac{625}{625} = \frac{625x^{2}}{625}[/tex]⇒ [tex]1 = x^{2}[/tex]⇒ [tex]\sqrt{1} = \sqrt{x^{2} }[/tex]⇒ [tex]\sqrt{1 \times 1} = \sqrt{x \times x }[/tex]⇒ [tex]1 = x[/tex]

The value of x that proves this triangle a right triangle is 1.

x = 1

If it is a right angle triangle

→ (short side)² + (short side)² = (long side)²

given long side is 25

====================================

(15x)² + (20x)² = 25²225x² + 400x² = 625625x² = 625x² = 1x = √1x = ±1

as distance is positive

x = 1

please help!!!

A store is advertising a sale with 15% off all prices in the store. Sales
tax is 8%.

Which expressions represent the total cost of buying an item with
an original price of p, after the dischwunt and sales tax are included?

A. 1.08p - 0.15p
B. 1.15p + 0.08p
C. 1.08(0.85p)
D .85p + (0.08)(0.85p)
E. p - 0.15p + 0.08p

Answers

Answer:

The right answer is C

Step-by-step explanation:

1.08(0.85p)

A veterinarian collects a random sample of 40 cats that she has treated over the years and indicated the number of years each cat lived. Ten of the forty cats lived to be over 11 years old.
1. Use the Empirical Rule to construct a 99.7% confidence interval of the proportion (round to three decimal places) of all cats that will live to be more than 11 years old.
2. What sample size should the veterinarian use to achieve a margin of error of no more than 8% for the 99.7% confidence interval using the Empirical Rule? Use p=0.5 since we do not know the exact population proportion.

Answers

Answer:

1. 0.047, 0.453

2. 343

Step-by-step explanation:

The confidence interval regarding the veterinarian will be (0.045, 0.455).

How to depict the confidence interval?

Sample success = 10

Sample size = 40

Pt estimate = 10/40 = 0.25

Standard error = 0.0685

The corresponding interval is (0.045, 0.455).

The sample size that the veterinarian should use to achieve a margin of error will be:

Margin of error = 0.08

Critical Z = 3.0

Estimated proportion = 0.5

Sample size = p × (1-p) × (z/e)²

= 0.5 × (1-0.5) × (3/0.08)²

= 352

Learn more about confidence interval on:

https://brainly.com/question/15712887

$35
130
b Bettieis Boutlque is having a 20% off sale
original price sale price
$15
$12
$25
120
$35
$28

Answers

Assuming we need to find out what 20% off of the prices listed is, we can set up equations for each of them, where x is the original price.

New price = [tex]\frac{8}{10} x[/tex] or simplified to [tex]\frac{4}{5} x[/tex]

So, putting the original prices through the formula, we get these values:

$15 --> $12
$12 --> $9.60
$25 --> $20
$120 --> $96
$35 --> $28
$28 --> $22.40

The teacher’s bookshelf is 7 feet tall. She builds one more shelf on it that is ¾ of a foot tall. How tall is her bookshelf now?

Answers

All correct answers bellow (in order of most logical units to be using)

7 3/4 feet
7foot 9inches
236.22cm
2m 36.22cm

A class is made up of 54% women and has 21 women in it. What is the total number of students in the class?

Answers

Answer:

Step-by-step explanation:

percentage=part/total x 100

54= 21 / total x 100

total=38.88 = 39

Priya's favorite singer has made 6 albums containing 75 songs in total. Priya wants to make a playlist of 10 of
those songs, and she won't repeat 1 of the 75 songs.
The permutation formula n Pr can be used to find the number of unique ways Priya can pick and arrange the
songs for the playlist
What are the appropriate values of n and r?

Answers

The appropriate values of n and r are illustrations of permutation.

The values of n and r are 75 and 10, respectively

How to determine the appropriate values of n and r?

From the question, we have the following parameters:

Albums = 6Total songs = 75Songs to arrange in a album = 10

The above means that:

n = 75

r = 10

This can be interpreted as:

Arrange 10 songs from a list of 75 songs

Hence, the appropriate values of n and r are 75 and 10, respectively