Lucas built a composite solid by joining 12 identical blocks, with dimensions 4 inches by 5 inches by 7 inches, into three
ows of four as shown.
7 in.
5 in
4 in
What is the total surface area of the composite solid?
O 521 square inches
1,042 square inches
1,072 square inches
O 1.992 square inches
Answers
Answer:
1042 square inches is the total surface area of composite solid.
Step-by-step explanation:
It is clear from the image that the resulting composite solid is a cuboid.
whose sides are as follows:
Across the length there are 3 blocks along the side of 7 inches each.
Length = [tex]7 \times 3 = 21\ inch[/tex]
Width = 5 inch
Across the height there are 4 blocks along the side of 4 inches each.
Height = [tex]4 \times 4 = 16\ inch[/tex]
We know that total surface area of a cuboid is as follows:
[tex]\text{Total Surface Area = } 2 (l\times w+ w \times h+ h \times l)[/tex]
[tex]\Rightarrow 2 (21 \times 5 + 16 \times 21 + 16 \times 5 )\\\Rightarrow 2 (105 + 336+80)\\\Rightarrow 2 \times 521\\\Rightarrow 1024[/tex]
Hence, total surface area = 1024 square inches
Step-by-step explanation: i got it right
Related Questions
Cylinders A and B are similar solids. The base of cylinder A has a circumference of 47 units. The base of cylinder B has an
area of 94 units.
The dimensions of cylinder A are multiplied by what factor to produce the corresponding dimensions of cylinder B?
Answers
Answer:
yes you are right it would be cylinder b
Step-by-step explanation:
HELPPPP!!!
Reeva's family budget is shown. She works 165 hours each month. With the given
information, what is the minimum hourly wage she would need to earn to cover her monthly expenses?
Answers
Add all her expenses =2024.08
Then divide by 165=12.268
Go with choice 12.27
Answer:
$12.27, B, top left answer thingie on ttm
Step-by-step explanation:
To solve, you need to add her expenses of everything to get 2024.08.
You know she works 165 hours each month, so you need to divide the 2024.08 total expenses by 165 to get her minimum hourly wage. 2024.08/165 = 12.267151515....
You can only have two decimals in money so just round up to make it easier so 12.267151515 ~ 12.27.
Hence 12.27.
Units: Money so $$$$$
$$
O
Hope this helps!
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Use the grouping method to factor 2x3+ 6x2 - 7x-21
Answers
Answer:
es 357 ya que primero mutiplicas sumas restas y multiplicas
Step-by-step explanation:
pir esi se ilibi topi rrospe
Plz answer this is trigonometry
Answers
Answer:
a = 47
b = 23.87
c = 90
d = 35.59
Step-by-step explanation:
I can only help this much. Not sure what the other two others below are asking
If the probability of rain is 0.75, the probability of fog is 0.25, and the probability of rain and fog is 0.25, what is the probability of rain or fog?
Answers
Answer:
[tex]P(A \cup B) = 0.75[/tex]
Step-by-step explanation:
There are two scenarios:
A - Rain
B - Fog.
The probability of rain or fog is determined by the Addition Rule, given that A and B are not mutually excluyent:
[tex]P(A\cup B) = P(A) + P(B) - P(A\cap B)[/tex]
[tex]P (A\cup B) = 0.75 + 0.25 - 0.25[/tex]
[tex]P(A \cup B) = 0.75[/tex]
A box is laid on its side and the white label wrapped around the box covers 30% of the lateral surface area of the box. Find the length x of the box.
Answers
Answer:
6
Step-by-step explanation:
{3x + 4y = 36
{y = -1/2x + 8
Answers
Answer:
y
=
3
4
x
−
9
Step-by-step explanation:
here is a list of numbers: 12, 13, 19, 16 ,32, 15, 13.
a)work out the range of the numbers in the list.
b)work out the mean of the numbers in the list
Answers
Look at the attached picture
Hope it will be helpful to you ...
The range of the number given is given as (12, 32) while the mean of the given number is 17.14.
Given that,
The list of the number is given as 12, 13, 19, 16,32, 15, and 13.
The range of the number and mean of the given numbers is to be determined.
Range, it is the set of values that come out to an outcome for a certain mathematical operation.
What is mean?The mean of the values is the ratio of the total sum of values to the number of values.
Here,
Rearrange the number in ascending order,
12, 13, 13, 15, 16, 19, 32
The range of the list is given as,
Range = [12, 32]
Mean of the numbers = [12 + 13 + 13 + 15 + 16 + 19 + 32] / 7
Mean = 17.14
Thus, the range of the number given is given as (12, 32) while the mean of the given number is 17.14.
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What is the slope of the line x= -1
plz help
who ever answers first will get brainliest
Answers
Answer:
Step-by-step explanation:
If the line has an equation of x = (some number), this is a vertical line. The slope is undefined and all the points on the line have an x-coordinate of that (some number). For example, if x = -2, then all points along this line will have an x-coordinate of -2, making it a vertical line.
Answer:
its undefined, since its a vertical line and is parallel to the y-axis it is passes though all points with a x-axis of -1
Step-by-step explanation:
Using the linear combination method, what is the solution to the system of linear equations 7 x minus 2 y = negative 20 and 9 x + 4 y = negative 6? (–3, 2) (–2, 3) (2, –3) (3, –2)
Answers
Answer:
(-2, 3)
Step-by-step explanation:
(7x-2y= -20)2
9x+4y-6
14x-4y=-40
9x+4y-6
23x= -46
x= -2
9(-2)+4y= -6
-18+4y= -6
4y= -6+18
4y=12
y=3
so,(-2,3)
Answer:
(-2,3)
Step-by-step explanation:
i took the test
The United States five-dollar bill are 155.956 mm long and 66.294 wide. A stack of these bills fits inside a 156 x 66.3 x 66.3 mm box and uses up 258,473.68 cubic millimeters of volume.
Part A: How much money is in the box?
Part B: What percent of the box’s volume is taken up by the five-dollar bills?
Answers
Answer:
A) $5 × 25 = $75
B) 37.69%
Step-by-step explanation:
The dimension of five dollar bill:
Length = 155.956mm
Width = 66.294
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
Dimension of box :
156 x 66.3 x 66.3 mm
If volume of the 5—dollar bill is 258,473.68mm^3
Then, the Thickness of the five dollar stack equals :
Volume = Length × width × height
258,473.68mm^3 = 155.956mm × 66.294 × height
258,473.68 = 10338.947064 × h
h = (258473.68/10338.947064)
h = 25.000000003288 = 25
Therefore, the amount of money in the box is:
$5 × 25 = $75
Percentage of box volume taken up by $5 bill
Volume of the box:
156 x 66.3 x 66.3 mm = 685727.6399mm^3
Volume of box being occupied by 5 dollar bill = 258,473.68mm^3
(258,473.68 / 685727.6399) × 100
=37.69%
What is the correct answer?
Answers
Answer:45
Step-by-step explanation:
Sin^-1= 5÷7
what is the y-intercept of the equation y=-x?
Answers
Answer:
0,0
Step-by-step explanation:
Tickets for a basketball game cost $20 for upper-level seats and $30 for lower-level seats. Tickets at the same venue
for an ice hockey game cost $15 for upper-level seats and $35 for lower-level seats. If tickets for all seats are sold,
the venue generates $7000 in revenue for a basketball game and $6500 for a hockey game. How many upper and
lower-level seats does the venue have?
Let x represent the number of upper-level seats.
Let y represent the number of lower-level seats.
20x + 30y = 7000
15x + 35y = 6500
The venue has
upper-level seats and lower-level seats.
Answers
Answer:
200 and 100
Step-by-step explanation:
Just did it:)
Answer:
The number of upper-level seats = 200
The number of lower-level seats = 100
Step-by-step explanation:
Given:
x = the number of upper-level seats.
y = the number of lower-level seats.
According to the question:
20x + 30y = 7000
15x + 35y = 6500
Multiply first equation by 3 and second by 4 then subtract them
[tex]3(20x + 30y) - 4(15x + 35y ) = 3(7000)-4(6500)\\60x+90y-60x-140y=-5000\\-50y=-5000\\y=100[/tex]
Plug y=100 in 20x + 30y = 7000.
[tex]20x + 30y = 7000\\20x + 30(100) = 7000\\20x+3000=7000\\20x=4000\\x=200[/tex]
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Select the expressions that are equivalent to 6(x + 7).
(7 + x) 6
6x + 42
(x + 7)6
42x + 6
Answers
Answer:
[tex]6x + 42[/tex]
Step-by-step explanation:
Apply the distributive property:
[tex]6x + 6 \times 7[/tex]
Multiply 6 by 7
[tex]6x + 42[/tex]
The population of the United States, u, is about one hundred thousand less than the population of India, i. Write and equation that represents the two populations.
Answers
Answer: u = i- 100,000
Step-by-step explanation:
Hi, to answer this question we have to write an equation with the information given:
Population of the United States = u
Population of India = i
Since the population of the United States, u, is about one hundred thousand less than the population of India, i, we have to subtract 100,000 (one hundred thousand) to the population of India (i). That expression must be equal to the population of United States (u).
Mathematically speaking:
u = i- 100,000
Feel free to ask for more if needed or if you did not understand something.
The local zoo welcomed a newborn African elephant that weighed 34 kg. It is expected that at adulthood, the newborn elephant will weigh approximately 34 times as much as its birth weight. What expression represents the expected adult weight of the newborn elephant? Explain why the Product of Powers Property makes mathematical sense.
Answers
Answer:
3/4-3/4=3/4+3/4
=3/8
Step-by-step explanation:
The expression that represents the weight of the elephant in adulthood is w = 34².
What is the product of power property?According to the Product of Powers Property, you can add the exponents and maintain the base when multiplying two exponents with the same base.
Given that, the weight of a newborn elephant baby is 34 kg.
The weight of the elephant will be 34 times as much as its birth weight in adulthood, therefore, the weight of the elephant in adulthood is:
w = 34×34
w = 34²
Hence, the product of power property makes mathematical sense, that a×a=a².
The expression that represents the weight of the elephant in adulthood is w = 34².
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Sumara Kato's savings account has a balance of $1663. After 19 years, how much interest
will she have earned if her rate is 5.5% compounded annually?
(1) $3159.70 (2) $2936.27 (3) $2942.27
(4) $2925.27
Answers
Answer: $2936.27
Step-by-step explanation:
Present value = $1663
Rate = 5.5%
Time(n) = 19years
Future value= PV(1+r)^n
= 1663(1+5.5%)^19
= 1663(1.055)^19
=1663 × 2.766
=4599.86
Interest = Future value - Present value
= $4599 - $1663
= 2936
Evaluate the expression when c= -4.
c² – 5c+2
Answers
Answer:
The answer is 38.
Step-by-step explanation:
You have to substitue c = -4 into the expression :
Let c = -4,
[tex] {( - 4)}^{2} - 5( - 4) + 2[/tex]
[tex] = 16 + 20 + 2[/tex]
[tex] = 38[/tex]
Which is the most efficient first step to solve for x in the equation 3.7 x minus 18 = negative 4.3 x minus 3
Answers
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right!
Answer:
c
Step-by-step explanation:
First, you need to isolate the variable so you can solve the equation. You can move the number to the other side of the equal sign as long as you switch the sign (-/+) So your equation will look like this :
3.7x+4.3x-18=-3
Next, take the 18 and switch is so it will be with the 3:
3.7x+4.3x=-3+18
Now that like terms (variables with variables and regular numbers with regular numbers) you can solve:
8x=15
x=15/8
Hope this helps, and sorry if I did the work wrong but the directions are 100% right! :)
A sandbox measures 5 feet long, 3 feet wide, and 2 feet tall.
How much sand can it hold if we fill it to the very top?
Answers
Answer:
The volume of the sandbox is 30
Step-by-step explanation:
What is a isometric dot paper
Answers
isometric dot paper - also known as "3D drawing paper." You can use these files for free and print as many sheets as you want. This paper is used by many people for creating perspective drawings of buildings, products, boxes and more.
Step-by-step explanation:
The table shows the battery life of four different mobile phones:
Mobile Phone Battery Life
Phone: Battery Life (hours)
A: 20
B: 25
C: 10
D: 18
If 8.45% of the battery life of each mobile phone is used in a day by a typical user, for which mobile phone is 0.8 hour of battery life used in a day?
1. Phone A
2. Phone B
3. Phone C
4. Phone D
Answers
Answer:
phone C
Step-by-step explanation:
since, 8.45% of (×) 10
= 0.845
= 0.8
Answer:
probably phone C
Step-by-step explanation:
Which account has the lowest minimum balance requirement? Bank Account Terms and Conditions Bank A has a $500 minimum balance, bank B has 250 dollars, bank C has 300 dollars, bank D has 100 dollars. Account A Account B Account C Account D
Answers
Answer:
The correct option is Account D
Step-by-step explanation:
Bank requires that $500 minimum balance,this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks
Bank D only requires $100 that is the minimum among all the four banks. Therefore, the correct answer is option D.
Bank requires that $500 minimum balance, this is the highest minimum balance out of all the four banks.
Bank B's minimum required balance is $250 which is the third highest minimum balance.
Bank C requires account holder to have as minimum balance $300 which is second highest minimum balance.
Bank D only requires $100 that is the minimum among all the four banks.
Therefore, the correct answer is option D.
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Mona likes to ski. One lap includes a 4 minute ride up the ski lift and 5 minutes to ski down the hill. How long will it take her to do 5 laps?
Answers
Answer:
pretty sure it is 45mins
Step-by-step explanation:
U add 4+5=9 so that is one lap
then take 9*5=45 and that would be 5 laps
Answer:
45
Step-by-step explanation: first we want to find out the time it takes to do one full lap of skiing. in order to do this you have to add 4 to 5. we do this because if we start at the bottom of the hill we have to ride 4 min up to the top then 5 min to get back to the bottom. so in all it will 9 min to do one full lap. because we want to find out how long it will take to do 5 laps we do 9x5=45
The awnser yo 4(x-2+y) using distributive property to create an equivalent expression??
Answers
Answer:
4x + 4y - 8
Step-by-step explanation:
Parenthesis
Exponents
Multiply
Divide
Add
Subtract
Monica sells lemonade over the summer and uses Conical paper cups to serve the lemonade. Each cup is 8 cm in diameter and 11 cm tall. She starts with a 10 gallon container (1 gallon is equivalent to 3085 cm)
Part A: Determine how many paper cups or needed to empty the entire 10 gallon cooler.
Part B: If the conical cups are solid and packages of 50. How many packages are needed to be bought?
Answers
Answer:
a) 167 cups
b) 4 packages
Step-by-step explanation:
Given:
Diameter, d = 8cm
Height, h = 11 cm
10 gallon container
Since 1 gallon = 3085cm, 10 gallons will be:
= 10 * 3085 = 30850 cm
a) Consider that the shape of the cup is a cone. To determine how many paper cups are needed to empty the entire 10 gallon cooler, let's first find the volume of the cone.
Formula for volume of a cone:
[tex] V = \frac{1}{3} \pi r^2 h[/tex]
We know radius, r = d/2 = 8/2 = 4cm
Substituting figures in the formula, we have:
[tex] V = \frac{1}{3} \pi 4^2*11[/tex]
V = 184.31 cm³
The number of paper cups are needed to empty the entire 10 gallon cooler would be:
[tex] = \frac{30850}{184.31} = 167.38 cups [/tex]
Approximately 167 cups
b) if the cups are sold in packages of 50, the number of packages to be bought will be:
[tex] = \frac{167}{50} = 3.34 [/tex]
Which is approximately 4 packages
What is the circumference of the circle? Use 3.14 for .
r = 6.4 cm
© 20.096 cm
040.192 cm
0 200.96 cm
401.92 cm
Answers
Answer:
40.192 centimeters
Step-by-step explanation:
The circumference of a circle can be found using:
c= pi* diameter
First, we must find the diameter. The diameter of a circle is twice it’s radius.
d=2*radius
The radius of the circle is 6.4 centimeters. Substitute 6.4 for the radius.
d=2*6.4
d=12.8
Now we know the diameter. We can substitute 12.8 for diameter in the circumference equation.
c=pi*diameter
c=pi*12.8
We also know we are using 3.14 for pi, so we can substitute 3.14 for pi.
c=3.14*12.8
c=40.192
Use appropriate units: centimeters
c=40.192 centimeters
The circumference is 40.192 centimeters.
So the right answer is 40.192 cm
look at the attached picture
hope it will help you
Good luck on your assignment
Two less than four times a number is less than thirty. Which inequality can be used to find the solution?
Answers
Answer:
(4×n)-2<30
Step-by-step explanation:
4xn is 4 times a number
two less= -2
LESS THAN 30, is <
The inequality used to find the solution of the given statement is 4x - 2 < 30 to get the solution as x < 8.
What is Linear Inequalities?Linear inequalities are defined as those expressions which are connected by inequality signs like >, <, ≤, ≥ and ≠ and the value of the exponent of the variable is 1.
Given statement is that two less than four times a number is less than thirty.
Let the unknown number be x.
Four times a number is 4x.
Two less than four times a number is 4x - 2.
Two less than four times a number is less than thirty is 4x - 2 < 30.
4x - 2 < 30
Adding both sides with 2,
4x < 32
Dividing both sides by 4,
x < 8
Hence the required solution can be found by solving the inequality 4x - 2 < 30 and the solution is x < 8.
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which point is an x-intercept of the quadratic function
f(x)=(x-8)(x+9) ?
Answers
Answer:
(0, 8)
Step-by-step explanation:
i just got this question
Answer:
(-9,0)
Step-by-step explanation:
To find the x intercept, set y=0 and solve for x
f(x) = (x-8) (x+9)
0 = (x-8) (x+9)
Using the zero product property
x-8 =0 x+9=0
x=8 x=-9
(8,0) (-9,0) are the x intercepts
