Answer:
1,120 in2
Step-by-step explanation:
surface area= l×w×h
=10(14)(8)
=140(8)
=1,120
The surface area of the provided prism is 1,120 square inches. Option C is the correct option.
What is surface area?Surface area of any solid or the 3 dimensional body is the area of each faces by which the solid body is enclosed.
The surface area of the prism can be calculated with the following formula.
l×w×h
The image of the prism is attached below. In the given prism, the common height is 8 in and bases of the rectangular faces are 10 in, 14 in and 8 in long.
To find the surface area of the given prism, put the values in the above formula.
surface area= l×w×h
=10(14)(8)
=140(8)
=1,120
Option C is the correct option.
Learn more about the surface area here:
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Find the 25th term.
2, 10, 18, 26, 34, ...
25th term = [?]
an = a1 + (n - 1)d
Substituting the values
an = 2 + (n - 1)8
We have to find the 25th term n = 25
a25 = 2 + (25 - 1)8
a25 = 2 + (24)8
a25 = 2 + 192
a25 = 194
======================================================
Explanation:
The gap between adjacent terms is 8.
2+8 = 1010+8 = 1818+8 = 2626+8 = 34etcThe long way to get the answer would be to keep adding 8 to each term to generate the next one. You'd need to do this 20 times. There are 5 terms here already, so you need 25-5 = 20 more operations of "add 8".
I don't recommend this option. I recommend the shortcut mentioned in the next section.
--------
The shortcut would be to find the nth term of the arithmetic sequence
\(a_1 = 2 = \text{ first term}\\\\d = 8 = \text{ common difference}\\\\a_n = \text{ nth term}\\\\a_n = a_1 + d(n-1)\\\\a_n = 2 + 8(n-1)\\\\\)
As a check, plug n = 1 into that formula to get \(a_1 = 2\). Plug n = 2 to get \(a_2 = 10\) and so on. I'll leave this check portion for the student to do.
--------
The last step is to plug n = 25 into that formula to determine the 25th term.
\(a_n = 2 + 8(n-1)\\\\a_{25} = 2 + 8(25-1)\\\\a_{25} = 2 + 8(24)\\\\a_{25} = 2 + 192\\\\a_{25} = 194\\\\\)
The final answer is 194-------
Extra section (optional):
We can use a spreadsheet to generate the 25 terms. This is to help check the answer.
2, 10, 18, 26, 34, 42, 50, 58, 66, 74, 82, 90, 98, 106, 114, 122, 130, 138, 146, 154, 162, 170, 178, 186, 194
I really need help!!!
Answer:for 810 its 540mph for 1350 its 540mph for 2160 its 540mph and for 3780 its 540 mph
Step-by-step explanation:
One third of the difference of m and n.
One-third of the difference between m and n will be 1/3(m - n).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The difference between the numbers m and n is given by putting a minus sign between the numbers m and n.
⇒ m - n
Then one-third of the expression will be given as,
⇒ 1/3(m - n)
One-third of the difference between m and n will be 1/3(m - n).
More about the Algebra link is given below.
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GUYS HELP I HAVE A UNIT TEST ON RATIOS AND PROPORTIONS TOMORROW AND WE ARE ALLOW ONE NOTECARD WHAT SHOULD I WRITE DOWN I OFFER 75 POINTS AND BRAINLIEST
Answer:
look down
Step-by-step explanation:
well u should know that.....
1. A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other
2. A unit rate describes how many units of the first type of quantity corresponds to one unit of the second type of quantity. A proportion is an equation that states that two ratios or rates are equivalent.
3. As defined in the lesson on Unit Rate and Proportionality, the unit rate is the rate of change in a relationship where the rate is per 1.
4. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls)
Please help me I'm at a C in math
Answer:
do you best you are amazing you got got this just foucs
Step-by-step explanation:
Please answer quick. I will mark brainliest
3(a-4)+1=9-a
or, 3a-12+1=9-a
or,3a+a=9+13
or,4a=22
a=22÷4
a=5.5ans
A toy company's total payment for salaries for the first two months of 2012 is $40,765. Write and solve an equation to find the salaries for the second month if the first month’s salaries are $10,205.
Answer:
its D
12,455 + x = 23,894
x = 10,560
Step-by-step explanation:
Let's say that the variable 'x' represents the salaries for the second month, so out equation would be:
10,205 + x = 23,894
To solve, we must isolate the variable by subtracting 12,455 from both sides:
10,205 + x = 23,894
-10,205 -10,205
x = 10,560
So, the second month's salary was $10,560
Step-by-step explanation:
Answer: x = $30,560
Step-by-step explanation:
1. Let the second month payment be x
2. The first month + The second month = both of the months
3. So substituting: 10,205 + x = 40,765
4. Subtract 10,205 from both sides: x = 30,560
Multiply the pairs of numbers and match them with their products. Tiles (-5)(4.2) (-7)(-3) (4) (5) (2.5)(-9) Pairs 22.5 21 -22.5 -21 111
Here are the pairs matched with their products:
- (-5)(4.2) matches with -21
- (-7)(-3) matches with 21
- (2.5)(-9) matches with -22.5
Pairs (4) and (5) do not have corresponding products in the given options.
What is 3.727? Plz help ASAP plz
Answer:
3 727/1000
Step-by-step explanation:
First, the ones place is 3, so we already know that
Also, there is a 0.727.
There are 3 decimal spaces, so that means thousandths
So, its 3 727/1000
Answer:3 727/1000
Step-by-step explanation: If you convert 3.727 (a decimal) you would get 3 727/1000 (a fraction) So the fourth one in the picture u sent :)
21. Given the pattern below, which recursive formula represents the number of triangles in this sequence?
Answer:
its 4
Step-by-step explanation:
a 1 = 3 , a n = a n - 1 + 2
because if you aply this to the shapes that you see at problem 21 you will see that it meaches them
Answer:
a1 = 3, an = an - 1 + 2
Step-by-step explanation: Notice that Choices (1) and (2) are not recursive formulas, so both can be eliminated.
The first term has 3 triangles and each term after adds 2 more. This is Choice (4).
The perimeter of ΔPQR below is 55 units. What is the length of side QR?
Answer:
Pic plz?
Step-by-step explanation:
NOWWWWW
If a sweatshirt cost $45, and sales tax is 7%, how much tax did you pay?
Answer:
$48.15 :p
Step-by-step explanation:
The area of a square is calculated by squaring the length of one side of the square. Which graph represents this situation?
Your portfolio must include a minimum of the following five types of equations and solutions:
Two one-step equations
Two equations that contains fractions
One equation with distributive property
One equation with decimals
One real-world problem that is solved by an equation
Remember that each equation must include at least one variable. Once you have created each equation, you will solve it and show your work. Pretend that you are teaching the equations to a new pre-algebra student. Or you can actually teach them to a sibling or friend!
This is a total of 7 equations and solutions.
Answer:
Step-by-step explanation:
A. x + 5=12
7x = 21
B. b - 2/3 = 5/6
1/5m = 20
C. 45 = 3(x + 1)
D. 22.5 = 1.5x
E. Mark has $20 in his bank account. He saves $5 each week. How much money does Mark have in his account after 9 weeks? Use w to represent the number of weeks and t to represent the total amount Mark has after any number of weeks.
2. Anika is on the crew to set up rides for the state fair. The crew does most of the setup on the day that the fair arrives at the fairground and then continues to work on finishing the setup for about a week to have the rides ready to go in time for the opening of the fair. The scatter plot shows Anika's setup time on different days and the linear model for the data.
Annika’s Setup Time
Time (Days)
(a) What is the equation of the line, written in slope-intercept form? Show how you determined the equation. ( also find the slope and equation in point slope form)
(b) Anika arrived on Day 0. Based on the linear model you created in Part A, predict how long Anika worked on Day 0.
(c) Approximately how much did her setup time decrease per day?
Answer:
(a) The equation of the line, written in slope-intercept form, is y = -5x + 20. This can also be written in point slope form as y - 20 = -5 (x - 0). The slope is -5 and this was determined by looking at the trendline on the scatter plot.
(b) Based on the linear model created in Part A, Anika worked for 20 hours on Day 0.
(c) Anika's setup time decreased by approximately 5 hours per day based on the linear model.
Answer:
Step-by-step explanation:
(a) The equation of the line, written in slope-intercept form, is y = -5x + 20. This can also be written in point slope form as y - 20 = -5 (x - 0). The slope is -5 and this was determined by looking at the trendline on the scatter plot.
(b) Based on the linear model created in Part A, Anika worked for 20 hours on Day 0.
(c) Anika's setup time decreased by approximately 5 hours per day based on the linear model.
screenshot explains the problem. subscribe to ranboo.
Answer:
A. 50 ft
B house: 2600ft
extension: 100ft
Step-by-step explanation:
agreed, you should sub to Ranboo, the king :D
Melanie works at the local animal shelter after school. The table below shows how much money she earned and the number of hours she worked. How much does Melanie earn per hour? A) $16.00 B) $4.00 C) $8.00 D) $32.00
Solve both please 7th grade math
Which of the following is a result of shifting a circle with equation (x-2)2 +(y-3)2=25 to the left 2 units ?
A.) Both the x- and y-coordinates of the center of the circle increased by 2
B.) Both the x- and y-coordinate of the center of the circle decreased by 2
C.) The y-coordinate of the center of the circle decreased by 2
D.) The x-coordinate of the center of the circle decreased by 2
Answer:
D.) The x-coordinate of the center of the circle decreased by 2
Step-by-step explanation:
(consult the diagram attached below)
Consider a circle
(x - 2)² + (y - 3)² =25
Where (h, k ) = (2, 3) which is the center of the circle.
When we want to move the circle to the left by 2 units, it also means the the center of the circle will move 2 units to the left.
If center of the circle moves 2 units to the left, it means that the x coordinate of the center of the circle will be decreases by 2 units, while y coordinate will remain the same.
Hence the new coordinate for the center of the circle is (2-2, 3) = (0, 3)
The new equation of circle will be:
(x - 0)² + (y - 3)² =25
(x )² + (y - 3)² =25
Triangle ABC is a scale drawing of Triangle XYZ, as shown.
Based on the information shown in these triangles, which of the following is a true statement?
A) The length of side XZ is 11.5.
B) The length of side XZ is 28.
C) The measure of angle A is equal to the measure of angle Z.
D) The measure of angle A is not equal to any of the angle measures of Triangle XYZ.
At a soccer championship winning party , there were 35 soccer players in attendance and 12 pizzas were ordered. Each player in line takes 3/8 of a pizza to eat. How many boys at the end of the line will not get pizza ? please show the work
Liam took 70 steps, for a minute, if he walked for 5 minutes, what would the ratio of feet to minutes be?
Answer: 70:1 350:5
Step-by-step explanation: multiply 70 by 5 :)
Answer:
1 to 875 feet
Step-by-step explanation:
1 minutes = 70 steps
5 minutes = 350 steps
I feet = 0.4 steps
350 feet = 875 feet
me need more help on homework why is it hard
Answer:
A: 3
B: 276
Step-by-step explanation:
Answer:
A. There are 4 pairs of rectangles
B. I think that the area is 216
Step-by-step explanation:
7th grade math I'll give brainliest
Answer:
Step-by-step explanation:
Rise over run is the slope, m
m=2/5
a) the slope is 2/5 = .4 which is below the boundary guideline. So no this is not with in carpenter's guidelines
b) the image below show a line with slope 2/5 but with intercept 3
c) the stairs can be draw on the line with rise 2 run 5 from the line. see image
d)equation is in image
2.
a) count the squares
horizontal distance =3
vertical distance =3
b) slope is vertical distance over horizontal distance so m= 3/3 =1
I need help overdo! I will give brainlist!
1. It takes Jada 20 minutes to walk to school. It takes Andre 80% as long to walk to school. How long does it take Andre to talk to school?
2. A jet plane can carry up to 200,000 liters of fuel. It used 130,000 liters of fuel during a flight. What percentage of the fuel capacity did it use on this flight?
Answer:
1. 20 (.8) = 16
It takes him 16 minutes to walk to school.
This is because 80% as a decimal is .8 and you multiply that by how long it takes Person A to walk and you get 16.
2. 65%
Given: Full capacity=200000 litres
Amount of fuel used 130000/200000x100
Solving it, we will get 65%
Step-by-step explanation:
Answer:
1. 16 minutes
2. 65%
Step-by-step explanation:
For question 1: 20 x 0.8 = 16.
For question 2: 130000/200000 = 0.65 = 65%.
A bag contained 18 red marbles, 14 green marbles, and 20 blue marbles. A marble was randomly pulled, the color recorded, and then put back into the bag. This table above shows the results after 25 pulls.
What was the relative frequency of selecting a red or blue marble?
Red:8
Blue8
Green9
Number of red marbles pulled = 8
Number of blue marbles pulled = 8
Total marbles pulled = 25
Relative Frequency = Total Frequency / Total number of data values
Relative Frequency of red marble = 8/25
= 32%
Relative Frequency of blue marble = 8/25
= 32%
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Mark BRAINLIEST
Can someone pls help me with this first right answer gets brainlist
What is the prime factor of 72?
The factors are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
plzzzzzzzzzzzzzzzzzzzzzzzzz help me plz and ty
Answer:
1. -10
2. 11
3. -4
4. +5
Step-by-step explanation:
does this help?
Answer:
1. -10
2. 11
3. 4
4. 5
Step-by-step explanation:
To show work, start with the first number and move right if positive and move left if negative.
Mrs. Yamaguchi's class weighed the potatoes that they grew in their garden and recorded the data in a table. What are the least and greatest weights of the potatoes in the data set? (Picture Below)
The least weight is (blank) pounds and the greatest weight is (blank) pounds.
(Please only answer if you know it.) I'll give brainliest to the correct answer!
Answer:
Least: 1/8
Greatest: 3/4
Step-by-step explanation:
Plz give brainliest