Answers
Answer:
264 cm³
Step-by-step explanation:
Consider the L-shaped end of the figure. It is 7 cm wide, and 3+4 = 7 cm high. It can be considered to be a 7 cm square with a portion cut out of the upper right corner. That portion is a square that is 4 cm by 4 cm.
Then the area of the L-shaped end is ...
(7 cm)(7 cm) -(4 cm)(4 cm) = (49 -16) cm² = 33 cm²
The volume of the figure is the product of this area and the overall length, which is 8 cm.
V = Bh = (33 cm²)(8 cm) = 264 cm³ . . . volume of the figure
_____
Additional comment
There are other ways the volume can be figured. For example, it can be considered as a 7 × 8 × 3 cm block with a 3 × 4 × 8 cm block on top. That gives a volume of ...
V = LWH . . . . for each block
V = (7 cm)(8 cm)(3 cm) +(3 cm)(4 cm)(8 cm) = 168 cm³ +96 cm³ = 264 cm³
Related Questions
How many milliliters of pure acid must be added to 50 milliliters of a 40% acid solution to obtain a 50% acid solution?
Answers
Answer:
2.5 ml
Step-by-step explanation:
10% of the acid would be 2.5 ml so you'd have to add that to add the extra percent
Find the maximum value of
P = x + 6y
subject to the following constraints:
(2x + 4y < 10
X + 9yes 12
X>0
yo
P = ?
Answers
3. Tickets to a show cost $5.50 for adults and 54.25 for students. A family is purchasing2
adult tickets and 3 student tickets.
Answers
.
Step-by-step explanation:The cost of an adult ticket to the show is $5.5
The cost of a student ticket to the show is $4.25
A family is purchasing 2 adult tickets and 3 student tickets. This means that the total cost of 2 adult tickets would be
2 × 5.5 = $11
It also means that the total cost of 3 student tickets would be
3 × 4.25 = $12.75
The total cost of 2 adult tickets and 3 student tickets would be
11 + 12.75 = $23.75
If the family pays $25, the exact amount of change they should receive is
25 - 23.75 = $1.25
At San Diego State University, Webber Hall is located 35 meters west and 55 meters south of the Student Union. Aztec Hall is located 42 meters east and 30 meters south of the Student Union. How far is Webber Hall from Aztec Hall? Round to the nearest tenth..
Answers
Answer: 20
Step-by-step explanation:
55+35=90
42+30=72
90-72=18 (close to 20)
A private club grew by 7 members each week for 35 weeks. What was the total change in the club's size?
Answers
Answer:
The change is 245 members
Step-by-step explanation:
7x35=245
write the following number in expanded form: 602.97
and explain
Answers
Answer:
0.07+0.9+2+600 is the expanded form
4) Shreya's school is selling tickets to a fall musical. On the first day of ticket sales the school sold
13 adult tickets and 9 student tickets for a total of $138. The school took in $163 on the second
day by selling 3 adult tickets and 14 student tickets. Find the price of an adult ticket and the
price of a student ticket. Find the price of and adult ticket and the price of a student ticket?
Answers
Answer:
adult: $3student: $11Step-by-step explanation:
Let x and y represent the prices of adult and student tickets, respectively. Then the revenue equations are ...
13x +9y = 138
3x +14y = 163
Solving this using a graphing calculator, we find (x, y) = (3, 11).
The price of an adult ticket is $3; the price of a student ticket is $11.
_____
Algebraic solution
When the numbers are "messy," as they are here, I like to use the "cross-multiplication method" for solution. I find it easier to use the order 1, x, y, rather than the order x, y, 1 as shown in the second attachment. That way, the coefficients are in their original order, with the first coefficient repeated. Note the right-side constant must be subtracted to get the form ax+by+c = 0.
[tex]\begin{array}{cccc}13&9&-138&13\\3&14&-163&3\end{array}[/tex]
Then we have ...
1/(13·14 -3·9) = x/(9·(-163) -14·(-138)) = y/((-138)·3 -(-163)·13)
x = 465/155 = 3 . . . . price of an adult ticket
y = 1705/155 = 11 . . . price of a student ticket
I need step by step instructions on how to divide 708 by 9
Answers
Answer:
Here are the steps
Step-by-step explanation:
708 divided by 9
9 goes into 7 zero times,
9 goes into 70 seven times (63)
so carry the seven
drop the 8
9 goes into 78 eight times
subtract 72
brings you a remainder of 6
So it is 78 remainder 6
(Would appreciate brainliest)
Air pressure may be represented as a function of height (in meters) above the
surface of the Earth, as shown below.
-0.000122
e
P(h) = P.
In this function, P. is the air pressure at the surface of the Earth, and his the
height above the surface of the Earth, measured in meters. At what height will
the air pressure equal 50% of the air pressure at the surface of the Earth?
A. 4166.7 m
B. 2148.9 m
C. 5776.2 m
D. 0.59 m
SUBMIT
Answers
Answer:
try kopo
Step-by-step explanation:
b po ba 2148.9 ayn po pabrainless po 5x para maging vertouso na ko pls
At the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.
What is function?A function is a relation between a dependent and independent variable. We can write the examples of functions as -
y = f(x) = ax + b
y = f(x, y, z) = ax + by + cz
Given is that air pressure may be represented as a function of height (in meters) above the surface of the Earth, as shown below -
P(h) = P[tex]e^{-0.000122h}[/tex]
where {P} is the air pressure at the surface of the Earth, and his the height above the surface of the Earth, measured in meters.
For 50% of the air pressure at the surface of the Earth, we can write -
50P/100 = P[tex]e^{-0.000122h}[/tex]
1P/2 = P[tex]e^{-0.000122h}[/tex]
1/2 = [tex]e^{-0.000122h}[/tex]
- 0.000122h = log(1/2) = - 0.301
h = - 0.301/- 0.000122
h = 2467.2 meters
Therefore, at the height of 2467.2 meters from the earths surface, the air pressure equals 50% of the air pressure at the surface of the Earth.
To solve more questions on functions, visit the link below-
https://brainly.com/question/30194223
#SPJ7
Contestants A, B, C, and D are in a 10K race. How many different ways can a race with 4 runners be completed? (Assume there is no tie.) In how many ways can A finish first and C finish second? What is the probability that A finishes first and C finishes second? Enter a reduced fraction or decimal.
Answers
Using the arrangements formula and the probability concept, it is found that:
The race can be completed in 24 ways.A can finish first and C second in 2 ways.[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.The number of possible arrangements of n elements is given by:
[tex]A_n = n![/tex]
A probability is the number of desired outcomes divided by the number of total outcomes.
In this problem, there are 4 runners, hence, the number of different ways the race can be completed is:
[tex]A_4 = 4! = 24[/tex]
Considering A first and C second, for the third and fourth positions, it is an arrangement of 2 elements, hence:
[tex]A_2 = 2! = 2[/tex]
The probability is:
[tex]p = \frac{2}{24} = \frac{1}{12}[/tex]
[tex]\frac{1}{12}[/tex] probability that A finishes first and C finishes second.
A similar problem is given at https://brainly.com/question/24648661
What is the domain of the graph for the data set?
1976
5.027 < domain < 15.485
1908 < domain < 1981
any year in the twentieth century
Answers
our answer choices are a bit different so i'm assuming our data set is as well. but my correct answer was my third option, which was 1908 ≤ domain ≤ 1996, so i'm assuming it will be the third option for you as well.
next time include everything that is needed to answer the question so you can actually get your answer. for this you need a data set.
the data set for me is attached below. it shows the annual consumption of cheese per person in the United States for selected years in the twentieth century.
72 divided by x=3.16 divided by .015
Answers
Answer:
x = 0.34177215
Step-by-step explanation:
Answer:0.3418
Step-by-step explanation:
9.
Write an equation for the translation of y = |x|.
16.5 units right
A. y = |x + 16.5|
B. y = |x| + 16.5
C. y = |x| – 16.5
D. y = |x – 16.5|
Answers
Answer:
D
Step-by-step explanation:
Answer:
D. y = |x – 16.5|
Step-by-step explanation:
I got this answer correct on Gradpoint
Find the most appropriate units to measure John’s waist.
Answers
It takes 14 electricians 18 days to wire a new housing subdivision. How many days would it take 24 electricians to to the same job?
Answers
Answer:
10.5 days
Step-by-step explanation:
what is 7*8 + (9-7)=
Answers
Answer:
58
Step-by-step explanation:
7 x 8 + (9 - 7)
=> 7 x 8 + 2
=> 56 + 2
=> 58
Therefore, 58 is our answer
Answer:
58
Step-by-step explanation:
7*8+(9-7)=
7*8+2
56+2
58
WILL MARK BRAINLIEST
solve for X
Answers
[tex]x = 47[/tex]
Step-by-step explanation:
The 3rd interior angle of the triangle can be written as
[tex]\angle{3} = 180 - 45 - x = 135 - x[/tex]
The angle above is supplementary to the angle (2x - 2), therefore
[tex](135 - x) + (2x - 2) = 180 \Rightarrow 133 + x = 180[/tex]
Solving for x, we get
[tex]x = 47[/tex]
The monthly finance charge on a charge account is 1.5% of the unpaid
amount up to $500, and 1% of the unpaid amount over $500. What is the
charge on an unpaid amount of $750?
24
Answers
Answer:
hi
Step-by-step explanation:
hi
hi
hi
gm
have a nice day
Each big square below represents one whole.
What percent is represented by the shaded area?
Answers
Answer:
145%. The left one is 100% and then the right is the 45%.
What is the range of the function shown in this table?
х
f(x)
-5
-20
0
-10
2.
2
-6
ол
5
0
A. {-20, -10, -6,0}
B. {-5,0, 2, 5)
C. (-5, -20)
D. (0, -10)
Answers
its A. i think i had this question, i cant remember but i know its A.
Leslie purchased on of a kilogram of salted almonds and 3 kilograms of Jordan almonds. What was the total cost? salted almonds honey-roasted almonds $2.44 per kilogram $2.68 per kilogram $1.92 per kilogram $2.58 per kilogram Jordan almonds chocolate-covered almonds $
Answers
Answer:
To find the average price of all 4 pies, we have to know the price of all 4 pies. You have only given the price of 3 of the pies, so there is no way to figure the average. The best you can do in this case is say that the peach pie costs (6 + 7 + 11 + X) / 4 dollars, where X is the cost of the peach pie.
I think you meant to say that the peach pie cost the average of the prices of the other three pies. In which case, it costs (6 + 11 + 7) / 3, or $8.00.
Step-by-step explanation:
Lan is shopping for new plants. She has 50 dollars and sees that plants are about $8 each. Write an inequality that shows that Lan will spend 50 dollars or less on plants. Do not include units in your inequality
please help
Answers
Answer:
50 - 8 = 42
Step-by-step explanation: 42 is the awnser
Answer:
8p <= 50
Step-by-step explanation:
Which graph represents Y as a function of X ?
Answers
Answer:
Which graph represents Y as a function of X ?
step-by-step explanation:
a. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph twice as steep.
b. The graph of y = 2x represents a transformation of the parent function, y = x, which makes the graph half as steep.
c. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph half as steep.
d. The graph of y = x represents a transformation of the parent function, y = 2x, which makes the graph twice as steep.
The amount of a color pages a printer can print varies directly with the minutes it takes. The printer prints 36 pages in 3 minutes. How many minutes will it take the printer to print 108 pages?
Answers
Answer:
9 minutes
Step-by-step explanation:
108 x 3 = 324
324/36 = 9
what does the 5 in 56.13 represent as a decimal
Answers
Answer: 50
Step-by-step explanation:
5 = Fifty
6 = Six
. = decimal
1 = One tenths
3 = Three hundredth
Each marble bag sold by Joe's Marble Company contains 8 orange marbles for every 5 red marbles. If a bag has 56 orange marbles, how many red marbles does it contain?
Answers
Step-by-step explanation:
Seriously Speaking Am as confused As ...
forgive me but my head is blank
3-(4x-5)+6 what would this be ?
Answers
Answer:
the answer is:
−4x+14
Step-by-step explanation:
Simplify the expression.
Answer:
− 4 x + 14
Step-by-step explanation:
ummm sry not rly sure
What is the recirpocal of 21/32
Answers
So just flip the numbers
=32/21
A question on a test provides this graph and asks students to find the speed at which the car travels. Anna incorrectly says that the speed of the car is 1/64 mile per hour.
What is the speed of the car?
What error might Anna have made?
Answers
Answer:
A question on a test provides this graph
You, however, did not provide the graph.
Please repost the question along with the graph.
The speed is the rate of change of distance with respect to time thus the speed according to the graph will be 60 miles per hour so Anna interchanged distance and time by mistake.
What is the rate of change?The rate of change is the change of a quantity over 1 unit of another quantity.
Most of the time the rate of change is the change with respect to time.
For example the speed 3meter/second.
As per the given graph.
Speed = distance traveled / time taken
Speed = 60 / 1 miles per hour
But Anna says 1/60 this means Anna took time taken / distance traveled instant of distance traveled / time taken.
Hence "The speed is the rate of change of distance with respect to time thus the speed according to the graph will be 60 miles per hour so Anna interchanged distance and time by mistake".
To learn more about the rate of change here,
brainly.com/question/12786410
#SPJ2
This model represents a fraction
Answers
Answer:
yes it represents a fraction
Step-by-step explanation:
hope it helps:) and mark me as brainliest please because i really need it
[tex] \: \: \: \: \: [/tex]
A fraction area model shows a whole shape split into equal parts.example
Count the number of equal parts in the whole shape. Write this number as your. denominator.hope it helps[tex] \: \: \: \: \: [/tex]
