PLEASE HELP 20 POINTS
Stephen and Chelsea want to increase the volume of this prism by 72 cubic centimeters. Chelsea wants to add eight layers, and Stephen says they only need to add four layers. Their teacher tells them they are both correct. Explain how this is possible.
Answers
Step-by-step explanation:
2.
- the volume of initial prism is 3*3*6=54 cm³;
- the number of cubics of the requested 72 cm³ is 72;
- 'Chelsea wants to add eight layers' means 72=3*3*8 cubics, then one layer in this case consists of 3x3 cubics;
- 'Stephen says they only need to add four layers' means 72=4*3*6 cubics, then one layer in this case consists of 3x6 cubics.
3.
- the volume of initial prism is 4*4*1=16 in³; it means one layer is 16 inches³;
- according to the requirement 3 layers is 16*3=48 in³; three times 16.
- according to the requirement 5 layers is 16*5=80 in³; five times 16.
- according to the requirement 7 layers is 16*7=112 in³; seven times 16.
Related Questions
.nooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo
Answers
Answer: What is this free?
Answer:
yes
Step-by-step explanation:
yes+yes(no-no)
=yes
Can a triangle have three acute angles? Justify your answer
Answers
Which number is not a factor of 42?
2 3. 4 7
Answers
Answer:
3
by using divisibility test
Answer: Its 3
Step-by-step explanation: This is because 42 can be divided by 2 4 and 7 and still be a whole number but when you divide 3 by 42 you get 10.5
Hope this helps and have a nice day
Factor completely 185-32 Enter your answer in the boxes
Answers
Answer:
2 (9b - 16)
Step-by-step explanation:
18b - 32
2 (9b - 16)
Answer:
2(9b-16)
Step-by-step explanation: I looked it up on m a t h w a y sorry if its wrong! <3
Lily took out a 5-year loan from the bank for 31000.00 to purchase a new car. At the end of the loan, she paid a total of 37975. Find the interest rate on the loan.
Answers
Answer:
24.5%
Step-by-step explanation:
Simple Interest = (principal×rate×time)÷100. *Brackets First*
Transpose the formula to make rate the subject: rate= (100×simple interest) ÷ (principal×time).
Plug in values: rate = (100×37975) ÷ (31000×5).
The result is 24.5%.
If sin(2)=cos(+30°), what is the value of ?A. 20° B. 30° C. 50° D. 110°
Answers
Answer:
ooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooooo9
Step-by-step explanation:
jk its c
The formula for compound interest is:
Where:
A = the future value of the investment (including interest)
P = the principal investment amount (the initial deposit amount)
r = the annual interest rate (decimal)
n = the number of times that interest is compounded per year
t = the number of years the money is invested for
If Josh invests $500 in a 5-year fixed interest savings bond that pays 5% per annum, how much will his entire investment be worth at the end of the term?
Answers
Answer:
Future value, A = $642
Step-by-step explanation:
Given the following data;
Principal = $500
Interest rate = 5% = 5/100 = 0.05
Time, t = 5 years
n = 365
To find the future value, we would use the compound interest formula;
[tex] A = P(1 + \frac{r}{n})^{nt}[/tex]
Where;
A is the future value.
P is the principal or starting amount.
r is annual interest rate.
n is the number of times the interest is compounded in a year.
t is the number of years for the compound interest.
Substituting into the equation, we have;
[tex] A = 500(1 + \frac{0.05}{365})^{365*5}[/tex]
[tex] A = 500(1 + 0.000137)^{1825}[/tex]
[tex] A = 500(1.000137)^{1825}[/tex]
[tex] A = 500*1.2840 [/tex]
Future value, A = $642
The value of a certain car after t years is modeled by the expression 15.00000.78. What are the initial cont, I, and the rate of depreciation, r, of this car
$10.500./ 30%
110,500./ 70%
1$ 15,000./ 30%
$15,000./ 70%
Answers
Answer:
15,000,r=30%
Step-by-step explanation:
If you earned $60 from $500 in sales , What is the percent commission?
Answers
Answer:
300
Step-by-step explanation:
Target buys pants for $6.42 and marks up the price for customers by 70%. How much do they sell pants for?
0.7\left(6.42\right)=\$4.490.7(6.42)=$4.49
$4.49 is not the correct answer. What is the mistake? Explain.
Answers
$6.42*.70=$4.49 this is the mark up
Now $6.42+$4.49=$10.91 for the sales price
So Target sells the plants for $10.91 to their customers.
You just forgot to add the initial price to the mark-up
Hope it helps.
Find the area.
A. 1100 m2
B. 533 m2
C. 1066 m2
D. 338 m2
Answers
Answer:
533m
Step-by-step explanation:
41x26 divide by 2
A triangle is a three-edged polygon with three vertices. The area of the ΔDNE is 533 meters². The correct option is B.
What is a triangle?A triangle is a three-edged polygon with three vertices. It is a fundamental form in geometry. The area of the triangle is half the product of its base and its height.
Area of triangle = (1/2) × base × height
Given the base of the triangle is 41 meters, while the height of the triangle is 26 meters.
Now, the area of the triangle DNE is,
Area of triangle = (1/2) × base × height
Area of ΔDNE = (1/2) × 41 meters × 26 meters
= 533 meters²
Hence, the area of the ΔDNE is 533 meters².
Learn more about Triangle here:
https://brainly.com/question/2773823
#SPJ2
3y=54 what is y in the equation
Answers
Answer:
y=18
Step-by-step explanation:
54 divided by 3 = 18
Hope this helps :)
(Brainliest?)
Answer:
18
Step-by-step explanation:
Divide each side by 3
54/3 = 18
round 18334 to hundreds
Answers
Answer:18300
Step-by-step explanation:
Science (from the Latin word Scientia, meaning "knowledge") is a systematic enterprise that builds and organizes knowledge in the form of testable explanations and predictions about the universe.
The earliest roots of science can be traced to Ancient Egypt and Mesopotamia in around 3500 to 3000 BCE
Answers
Answer:
?
Step-by-step explanation:
What are you even asking-
If I have a 74 in one of my classes and then I get a 100 on my test what will my grade be
Answers
Answer:
Depends on the weight of the test
Step-by-step explanation:
According to the DuPont 2012 Global Automotive Color Popularity Report, 23% of all cars manufactured in 2012 were white. In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white. Identify the underlined values as parameters or statistics and give the appropriate variable. Spell out phat, x-bar, mu, sigma for the variable names. Which of the following statements istrue?
a. 19% and 23% are parameters, 100 is a statistic.
b. 23% is a parameter, 19% is a statistic.
c. 23% is a statistic, 19% is a parameter.
d. 19% and 23% are statistics, 100 is neither a parameter nor a statistic.
e. 19%, 23%, and 100 are all statistics.
Answers
Answer:
b. 23% is a parameter, 19% is a statistic.
Step-by-step explanation:
If the value is from a population, it is a parameter.
Otherwise, if the value is from a sample, it is a statistic.
23% of all cars manufactured in 2012 were white.
This is from the population(all cars), so 23% is a parameter.
In a random sample of 100 cars parked in long-term parking at Philadelphia International Airport, 19% of the cars were white.
100 is the size of the sample, which is neither a parameter, nor a statistic.
19% is from the sample of 100, so it is a statistic.
The correct answer is given by option b.
Please help me I’m desperateeee
Answers
Answer:
Step-by-step explanation:
First box: (0,1)
Second box: (0,-3)
Third box: (0,-4)
Please help please thank
Answers
Answer:
3/4 of an hour
Step-by-step explanation:
the longest is 1 hour. the shortest is 1/4 of an hour. 1 minus 1/4 is 3/4
Use the table to write a linear function that relates y to I.
X
-2
0
2
4
y
-7
- 7 - 7
- 7
=
10
Answers
Answer:
y = -7
Step-by-step explanation:
✔️Find the slope (m) using any two pairs of values, say (0, -7) and (2, -7):
Slope (m) = ∆y/∆x = (-7 -(-7))/(2 - 0) = 0/2 = 0
Slope (m) = 0
✔️Find y-intercept (b):
y-intercept is the value of y when x = 0. From the table, when x = 0, y = -7.
Therefore, y-intercept (b) = -7
✔️ Substitute m = 0 and b = -7 into y = mx + b (slope-intercept form):
y = 0(x) + (-7)
y = -7
find the value of find the value of a -7 when a equals 19
Answers
Answer:
12
Step-by-step explanation:
You have to substitute a by 17 and then just subtract.
Given the two triangles shown, find the value of x
Answers
Answer: x = 150/6 = 25
Step-by-step explanation:
Here is the information shown in the diagram: in triangle ABC, Angle A = 68, Angle C = 38, AB = 6, and BC = 10. In triangle DEF, Angle D = 38, Angle E = 74, EF = 15, and DE = x.)
The value of x is (Choose...4, 11, 12, 19, 20, 25).
To solve this, we notice that the sum of the angle measures mentioned is 68 + 38 + 74 = 180. Thus Triangles ABC and FED are similar by AA Similarity. It remains only to set up the proportion:
DE/CB = EF/BA
x/10 = 15/6
x = 150/6 = 25
The value of x in the triangle is 25
The triangle are similar.
What are similar triangles:Similar triangles are only different in sizes. There corresponding angles are equal and all corresponding side have the same ratios.
Therefore, let's find the value x by establishing the proportion below:
ΔABC ≅ ΔFED
AB / FE = BC / ED = AC / FD
6 / 15 = 10 / x
cross multiply
6x = 150
x = 150 / 6
x = 25
learn more on similar triangles: https://brainly.com/question/25882965?referrer=searchResults
can somebody help me?
Answers
Answer:
1 and 2
Step-by-step explanation:
Samantha’s annual college tuition is $18,541.89. The college offers a monthly payment plan of 9 equal payments. How much would each monthly payment be?
Answers
Answer:
18541.89/9 = $2060.21 is the answer
Step-by-step explanation:
Total college tuition = $18541.89
Number of equal payments = 9
Equal payments = 18541.89/9
= $2060.21
(Please do correct me if I'm wrong as I'm not completely sure)
si en la caja solo cabe media docena de platos, ¿ cuantas cajas serían necesarias para empacar la cantidad inicial de platos ?
Answers
Answer:
y cuál es la cantidad inicial de platos?
Value of ratio 3/4 to 2
Answers
Answer:
3/8 or 0.375
Step-by-step explanation:
0.75/2 = 3/8
Jimmy ate 1/3 of his sandwich at lunch. He ate another 2/3 of the sandwich. How much of the sandwich did Jimmy eat in all?
A.1/3
B.2/3
C.3/3
D.5/3
Answers
Write an equation to show how the Distributive Property can help you solve each problem. 3 Kelly signed copies of her new book at a local bookstore. In the morning she signed 36 books, and in the afternoon she signed 51 books. It took her 5 minutes to sign a book. How much time did she spend signing books? Equation: Solution:
Answers
Answer:
wouldnt it be 8 im not sure tho
Step-by-step explanation:
please help me on this it is 55 points
Answers
Hope this helps
Answer:
59/1
Step-by-step explanation:
What is the value of x in the following triangle?
Answers
Answer:
x=-10/3
Step-by-step explanation:
Answer: x = 17
Step-by-step explanation:
Triangle angle sum theorem states the three interior angles of a triangle sum to 180 degrees. Add all of the angles together and set equal to 180 to solve for x.
(3x)+(6x+10)+x= 180. Combine like terms.
10x + 10= 180. Subtract 10 from both sides.
10x = 170. Divide both sides by 10.
X = 17
A complex shape with measurements 4 feet, 10 feet, 4 feet, 2 feet, 4 feet, 6 feet, 4 feet, 2 feet.
The perimeter of the shape is
feet.
Answers
Answer: Add each side to get perimeter so your total is 38ft
Step-by-step explanation:
Answer: 36
Step-by-step explanation: