What is the volume of the following rectangular prism? 3 1/3 units^2
1 2/5 units
Answers
The volume of the given rectangular prism is 14/3 units³ or approximately 4 2/3 units³.
Given:
Rectangular base area = 3 1/3 units²
Height = 1 2/5 units
Convert the mixed number to improper fractions.
The rectangular base area can be written as:
= 3 + 1/3
= 3/1 + 1/3
= 10/3 units².
The height can be written as:
= 1 + 2/5
= 1/1 + 2/5
= 7/5 units.
Multiply the area of the base by the height.
Volume = Base area × Height
Volume = (10/3 units²) × (7/5 units)
Multiply the numerators and denominators separately.
Volume = (10 × 7) / (3 × 5) units³
Volume = 70 / 15 units³
Volume = 14/3 units³
Therefore, the volume of the given rectangular prism is 14/3 units³ or approximately 4 2/3 units³.
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Related Questions
Please solve and show work :( I give brainliest to 1st correct answer
Answers
Answer:
Step-by-step explanation:
9.50 ÷ 1 = 9.50
18 ÷ 2 = 9.50
28.50 ÷ 3 = 9.50
38 ÷ 4 = 9.50
47.50 ÷ 5 = 9.50
Direct variation is the relationship between tow variables in which one is a constant multiple of other.
Here, If we take hours worked as 'x' and pay as 'y',
y = 9.50*x
22) Daniel won 55 pieces of gum playing
basketball at his school's game night. Later,
he gave two to each of his friends. He only
has 3 remaining. How many friends does he
have?
Answers
Answer:
26 friends
Step-by-step explanation:
True or False? A triangle cannot have side that are pararell. Explain your thinking
Answers
Answer:
True. It would need two interior angles of 90 degrees to have parallel lines. However the interior angles must add up to 180 in order for it to be a triangle therefore it is true.
Step-by-step explanation:
A triangle cannot have side that are parallel is True.
What is Parallel line?The fundamental characteristics listed below make it simple to recognise parallel lines.
Straight lines that are always the same distance apart from one another are called parallel lines.No matter how far apart they are from one another, parallel lines can never intersect.No matter how long you make them, parallel lines will never cross one another.
and, A polygon with three sides and three angles is called a triangle.
So, A triangle does not include any parallel lines because of its shape.
Also, We cannot say a triangle is parallel because a side doesn't have an opposite side.
Hence, A triangle cannot have side that are parallel is True.
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1/2h=16 1/2 (8)
What is the answer it’s due tomorrow help!
Answers
Which of the following stamens are true about the graph?
A. The graph has a minimum
B. The graph has a maximum
C. The graph has zeros at -4 and 2.
D. The vertex is located at (-1-9)
E. The graph has a y-intercept of (-4,0) and (2,0)
F. The solution of the quadratic function represented by the graph is (-1,-9).
G. The y-intercept of the graph is (0,8)
Answers
definitely not b, e (they are the x-intercepts not y), f (the roots or x-intercepts are the solutions) and g (as the y-intercept is (0,-8) not (0,8).
Turn 8/6 into a mixed fraction
Answers
6/6 = 1
2/6 = 1/3
the mixed fraction is 1 1/3
An item that regularly sells for a dollars is on sale for 35% off its regular price. Write an expression that shows the price in dollars after the discount.
Answers
Answer:
0.65A = X
Step-by-step explanation:
Given that an item that regularly sells for A dollars is on sale for 35% off its regular price, to write an expression that shows the price in dollars after the discount the following equation must be proposed:
100 - 35 = 65
0.65A = Discount price
Therefore, if the regular price were $ 50, this equation would work as follows:
0.65 x 50 = X
32.5 = X
You have 23 teaspoons of peppercorn
Need .25 teaspoons to make a serving
how many can you make ?
Answers
Answer:
Step-by-step explanation:
yo will make 23/.25= 92 servings
You are dealt one card from a 52-card deck find the probability that you are not dealt a card with number from 3 to 9
Answers
Answer: conya de frezer ai polla chezt
Step-by-step explanation:
Comparing Means
7th Grade
Students in 7th grade took a standardized math test
that they also had taken in 5th grade. The results are
shown on the dot plot, with the most recent data shown
first.
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score
Find and compare the means to the nearest tenth.
7th-grade mean:
5th Grade
5th-grade mean:
What is the relationship between the means?
5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Test Score
Answers
Answer:
THE RIGHT ANSWER:
16, 13.4, the 7th grade mean is about 2.5 points higher.
Step-by-step explanation:
Mean for 7th Grade Students is: 16
Mean for 5th Grade Students is: 13.4
Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.
What is the Mean of a Data Distribution?The mean is the average of the data set, that is the sum of each data value divided by the number of data points.
The dot plots for 7th and 5th grade is attached below.
Mean for 7th Grade Students:
Mean = [10 + 11 + (2 × 12) + 13 + 14 + (2 × 15) + (3 × 16) + (3 × 17) + (2 × 18) + (2 × 19) + (3 × 20)]/21
Mean = 335/21
Mean = 15.95 = 16
Mean for 5th Grade Students:
Mean = [8 + (2 × 9) + (2 × 10) + (2 × 11) + (2 × 12) + (2 × 13) + 14 + (3 × 15) + (2 × 16) + 17 (2 × 18) + 19
Mean = 281/21
Mean = 13.38 = 13.4
Difference between their means = 16 - 13.4 = 2.6.
In summary:
Mean for 7th Grade Students is: 16
Mean for 5th Grade Students is: 13.4
Comparing the means, the mean for 7th grade students is 2.6 higher than 5th grade student.
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HELP HELP HELP
5TH GRADE MATH
HELP HELP HELP
Answers
Answer: it should be 14 or 10
Step-by-step explanation:
what is the unit rate of 56 ounces for every 2 cans
Answers
Answer:
26 ounces per can
Step-by-step explanation:
28 is the unit rate of 56 ounces for every 2 cans
What is Division?
A division is a process of splitting a specific amount into equal parts.
A unit rate means a rate for one of something.
We need to find the unit rate of 56 ounces for every 2 cans
To do this we need to divide Fifty six ounces with two.
56/2
Fifty six divided by two.
We get Twenty eight.
Hence 28 is the unit rate of 56 ounces for every 2 cans
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a is an integer greater than -3 and less than 3?
Answers
Math question I'm having trouble on: 20 Points.
Answers
Answer:
its D
Step-by-step explanation:
two over y is just division.
Answer:
2 divided by some number
Step-by-step explanation:
when you have a fraction like that your dividing
probability question!!!! help please!!!...Using a standard 52 card deck, what is the probability of pulling the king of hearts if you are
given two attempts (you will pull out one card and then another card)??
Answers
Answer:
4/103
Step-by-step explanation:
2/the average of 52 and 51
2/51.5 or 4/103
Which of the answer choices are equations? Select all that apply.
A. 2 + (10 - 3)
B. 6 - x = 1
C. 14+ 5 = 19
D. y+3
Answers
What is the explicit formula for the geometric sequence: 224, 112, 56, 28, ... .
Answers
Answer:
a_n=224(1/2)^n-1
Step-by-step explanation:
In this geometric sequence, we can see that the common ratio is 1/2 and the 1st term is 224. using this information, we can plug it into the geometric series formula and we get a_n=224(1/2)^n-1.
2+3+4+5+6+4+2+1+34+4+4+4+4+5
Answers
Answer:
The answer is 82.
Step-by-step explanation:
Just work it through.
Please help me please !!
Answers
Answer:
The answer is C) the starting amount in the account
Step-by-step explanation:
3x+2y=9. 3x+y=6
What is x and what is y please help I have no idea what to do-
Answers
Step-by-step explanation:
3x + 2y = 9
- (3x + y = 6)
=> y = 3.
Therefore 3x + (3) = 6, 3x = 3, x = 1.
The solutions are x = 1 and y = 3.
Can someone help me out with my sister's math problem? she's in middle school btw
Answers
Answer:
-1/2
Step-by-step explanation:
u move up 1 across 2 and slope is going down so it is a negative
Acid rain accumulations in lakes and streams in the northeastern part of the United States are a major environmental concern. A researcher wants to know what fraction of lakes contain hazardous pollution levels. He randomly selects 200 lakes and determines that 45 of the selected lakes have as unsafe concentration of acid rain pollution.
(a) Calculate the best point estimate of the population proportion of lakes that have unsafe concentrations of acid rain pollution.
(b) Determine a 95% confidence interval for the population proportion.
(c) If a local politician states that only 20% of the lakes are contaminated, does the study provide overwhelming evidence at the 95% level to contradict his views?
Answers
Answer:
a) 0.225
b) (0.167, 0.283)
c) No, since 20% = 0.2 is part of the confidence interval.
Step-by-step explanation:
(a) Calculate the best point estimate of the population proportion of lakes that have unsafe concentrations of acid rain pollution.
45 out of 200 lakes. So
45/200 = 0.225
So the best point estimate of the population proportion of lakes that have unsafe concentrations of acid rain pollution is of 0.225.
(b) Determine a 95% confidence interval for the population proportion.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which
z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].
For this problem, we have that:
[tex]n = 200, \pi = 0.225[/tex]
95% confidence level
So [tex]\alpha = 0.05[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.05}{2} = 0.975[/tex], so [tex]Z = 1.96[/tex].
The lower limit of this interval is:
[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.225 - 1.96\sqrt{\frac{0.225*0.775}{200}} = 0.167[/tex]
The upper limit of this interval is:
[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.225 + 1.96\sqrt{\frac{0.225*0.775}{200}} = 0.283[/tex]
The 95% confidence interval for the population proportion is (0.167, 0.283).
(c) If a local politician states that only 20% of the lakes are contaminated, does the study provide overwhelming evidence at the 95% level to contradict his views?
No, since 20% = 0.2 is part of the confidence interval.
Determine which sets of lengths can form a right triangle.
Right triangle
Yes
No
30, 40, 50
4, 4, 16
48, 55, 73
Submit
Work it out
Answers
Answer: 50,40
Step-by-step explanation:
because a right angle is 90 degress
Answer:
Triangle 1 is a right triangle
Triangle 2 is not a right triangle
Triangle 3 is a right triangle
Step-by-step explanation:
Triangle 1: 30^2 + 40^2 = 50^2
900 + 1600 = 2500
2500 = 2500
Triangle 2: 4^2 + 4^2 = 16^2
16 + 16 = 256
32 = 256
Triangle 3: 48^2 + 55^2 = 73^2
2304 + 3025 = 5329
5329 = 5329
John works in a car dealership selling new and used cars, He is extremely busy during major holidays selling as many cars as possible. The store’s motto is “Work Hard Earn More”. During the last holiday period, John sold $150,000 worth of vehicles. His commission is 15% of the first $100,000 and 10% on the remaining balance. How much commission did he earn on his total sales?
PLZZZ HELP ASAP
Answers
Answer:
20,000$
Step-by-step explanation:
15% of 100,000$ is 15,000$
10% of the remaining 50,000$ is 5,000$
Answer:
Hey yes you give brainly to the other person now they answered it even if it's
wrong they still helped thanks Hun hope you pass
Step-by-step explanation:
Which fraction is closest to zero?
+
0
CLEAR
CHECK
Answers
Answer: 1/10000000000000000000000000000000000 and so on.
Step-by-step explanation: The more 0’s, the more the fraction is close to zero. I’m sorry, I can’t actually type the fraction because it might be everlasting. Hope I helped!
(*´꒳`*)
Bananas are selling for $0.85 a pound. Milan spent $9.86 on bananas. How many pounds of bananas did Milan buy?
Answers
Answer:
11.6 lbs
Step-by-step explanation:
I WILL GIVE BRAINLYEST
What is the slope of the line passing through the points (2, 5) and (0, -4)?
a 9/2
b2/9
c-9/2
d-2/9
Answers
Answer:
c: -9/2
Step-by-step explanation:
to calculate the slope its rise/run so
-9/-2
now that means ur answer is c -9/2
what is the answer to 12 - 10=
Answers
Answer:
2
Step-by-step explanation:
None
Answer:
the answer is 2
Step-by-step explanation:
No explanation
what is the square root of 1345668?
Answers
Answer:
~1160.03 rounded to the hundredth
Step-by-step explanation:
Find the midpoint of A and B where A has coordinates (-5, 3)
and B has coordinates (3,-1)
Answers
Answer:
(-1, 1)
Step-by-step explanation:
Midpoint formula: (x₁ + x₂/2 , y₁ + y₂/2)
Substitute the values into the formula.
(-5 + 3/2 , 3 - 1/2)
(-2/2 , 2/2)
(-1,1)
Therefore, the midpoint is (-1, 1).
