A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?
What is the height of the prism??
Answer:
3
Step-by-step explanation:
A rectangular prism has a length of 8 inches and a width of 6 inches. The lateral area is 84 square inches. What is the height of the prism?
Find the perimeter of the base.
P = 2l + 2w Perimeter of a rectangle
P = 2(8) + 2(6) Substitute: l = 8 and w = 6
P = 28
Use the formula for lateral area.
L = Ph
84 = (28)h Substitute: L = 84 and P = 28
h = 3 Solve for h.
The height of the prism is 3 inches.
Ms. Gartland bought x number of shirts for the new members of her chorus. The cost for x number of shirts, including $3.99 shipping, was $77.49. Each shirt cost $12.25. There was no sales tax on this purchase. Which equation could be used to find x?
A) 3.99(x + 12.25) = 77.49
B) 3.99x + 12.25 = 77.49
C) 12.25(x + 3.99) = 77.49
D) 12.25x + 3.99 = 77.49
juan says that the probability of picking two white marbles without replacing from a bag containing 3 solid white marbles and 5 striped marbles is equal to 1/64 is juan correct explain.
A-juan is correct the probability of drawing any marble is 1/8 and 1/8 ×1/8=1/64
B-juan is incorrect the probability of drawing a white marble is 3/8 and 3/8×3/8=9/64
C-juan is incorrect since one of the marbles is taken after the first draw 3/8×2/8=6/64=3/32
D-juan is incorrect the marble draw are not independent events.removing one marble affects probability for the next draw because the number of marbles in the sack decreases.
George is putting trim around his rectangular deck, including the gate. He will need 46 feet of trim to do the entire deck. If the deck is 15 feet long, how wide is the deck?
A.
6 feet
B.
16 feet
C.
8 feet
D.
23 feet
Answer:
C: 8 feet
Step-by-step explanation:
You have to find the parameter.
To do that you add all the side lengths together.
15+15=30 now you have to subtract 30 from 46 to find how much room is left.
46-30=16 now divide your answer by 2 to get the 2 remaining sides of the deck.
16/2=8 so the answer is 8!
Answer:
C
Step-by-step explanation:
A game has purple and orange pieces. The ratio of purple game pieces to total pieces is 7:16.
Select all the statements about the game pieces that are correct.
A.
The ratio of purple pieces to orange pieces is 9:7.
B.
The ratio of total pieces to orange pieces is 16:9.
C.
The ratio of total pieces to purple pieces is 16:9.
D.
There must be 9 more orange pieces than purple pieces.
Answer:
D
Step-by-step explanation:
it is true that there are 9 more orange pieces than orange pieces
Please help me, thank you!
Answer:
The answer would be 275 not 375. so ig C
Step-by-step explanation:
please help me with these two questions, i will give brainliest
Answer:
5. No, Triangle J K L is a Reflection, not a translation
6. Its 11 to the right, and 2 up
Answer:
5. No, it is a translation across the Y-Axis
6. The translation is 11 units right, and 2 units up.
Step-by-step explanation:
Hope this helps, Have a great day!!
Plz help me and explain too thanks
find the volume of the cylinder.
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi.
units^3
3
Answer: pie r^2 h
where pie is 3.143... , or 14
r- radius
h- height
Step-by-step explanation:
suppose let the cylinder height =3 and radius =4
volume of cylinder =pie*r^2*H
= 3.143*4^2*3
=150.864 m^3
need help with 7, 8, and 9 plz :]
Lilia's car can travel 125 miles
on 5 gallons of gasoline. How
many miles can her car travel on 3 gallons?
Answer:
75 miles
Step-by-step explanation:
125/5gallons = 25
25*3gallons = 75
A teacher surveys a sample of students from Lake Middle School. He asks the students where they’d like to go for a field trip. He records these results:
80 choose the aquarium.
60 choose the science center.
30 choose the planetarium.
40 choose the farm.
The teacher wants to figure out the relative frequency of a student choosing the aquarium. He will then estimate how many students out of all 1000 at the school are likely to choose the aquarium.
4) Write and solve a proportion that the teacher can use to estimate how many students in the whole school would choose the aquarium. Show your work.
Answer:
210 student's
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.
Find the perimeter.
32 in.
24 in.
36 in.
28 in.
Find the area.
48 in. 2
64 in. 2
84 in. 2
36 in. 2
The patio at the back of the house is to be extended into the backyard in a semi-circle. What will be the area of the yard after the patio is done?
927 square ft.
456 square ft.
613 square ft.
314 square ft.
15 Points and brainliest if you help me!!!
Write the prime factorization of 363 using exponents.
The prime factorization is_
Answer:
3 * [tex]11^{2}[/tex]
Step-by-step explanation:
I hope this helps :))
Just help me x.x
And pls explain how you got the answer .-.
Step-by-step explanation:
Distribute -1 across
-t-8=-7.1
-8+7.1=t
t=-0.9
Answer:
-0.9
Step-by-step explanation:
1
Distribute
-1(t+8) = -7.1
-t - 8= -7.1
2
Add 8 to both sides of the equation
3
Simplify
4
Divide both sides of the equation by the same term
5
Simplify
a 5-lb bag of oranges costs 3.80. there are 3 oranges to a pound. how much does a dozen oranges cost?
Answer:
$3.04
Step-by-step explanation:
one orange costs about 25 cents (because 15 x .25333 equals 3.80, and round up to .25) so .25 x 12 is about $3.04
Mrs. Cerruti uses 7.7 gallons to drive 245 miles. How far could she drive with 10.3 gallons?
Answer:
about 327.7 miles
Step-by-step explanation:
Proportions :
7.7 gallons / 245 miles = 10.3 gallons / x miles
x is about 327.7 miles
1. Which is the better buy? Which one gives you a lower price per pound (lb.)?
3 1/3 lb. of turkey for $10.50
2 1/2 lb. of turkey for $6.25
Which is the independant variable and which is the dependant variable?
For every cupcake, c, that she sells, she raises money, m, for her club.
(repost) Help Please I will Give brainliest If Correct!!
Answer:
There are about 7 x 10^6
Step-by-step explanation:
3.5*2029249= 7102347
rounds to 7000000= 7 x 10^6
Answer:
7.102347 times [tex]10^{6}[/tex].
Step-by-step explanation:
Alright. This is an inanely large amount of words, as a drill for scientific notation. The first step is, since the mystery book has 2,029,242 words, to turn this into a single digit multiplied by a power of ten - 2.029242 times [tex]10^{6}[/tex] (apologies for the weird font change in the middle). The science fiction book is 3.5 times larger - multiply 2.029242 on a calculator (unless you really like suffering for some reason; then do it by hand) - it comes out as 7.102347. Thus, the answer is 7.102347 times [tex]10^{6}[/tex].
PLEASE HELP I WILL GIVE YOU BRAINLIEST
Answer:
Step-by-step explanation:
Mayebe. E
A real estate agent expected 18 people to show up for an open house, but 25 attended. Calculate the percent error. Show your work.
Answer:
72
Step-by-step explanation:
just look up 25 out of 18 percentage
A soap factory randomly inspects 100 bars of soap to better identify problems that occur during the manufacturing process. The table below displays the possible problems and frequency for each.
Soap Problems
Frequency
Underweight
4
Impurities
2
Broken bar
3
None
91
Total
100
If the soap factory makes 5,000 bars of soap per day, how many of those bars would they expect to be broken?
They would expect 100 bars to be broken.
They would expect 150 bars to be broken.
They would expect 300 bars to be broken.
They would expect 450 bars to be broken.
what is the nearest whole percent of 31?
alan is converting large and small numbers from standard notation to scientific notation. group the numbers according to their powers of 10
Answer:
i am kind of confused by the question but i would say to but all the numbers below 1 in the 10^-4 section and the numbers above 1 in the 10^6.
i might be wrong i don't what the question is really.
Step-by-step explanation:
Alan is converting large and small numbers from standard notation to scientific notation
10⁶ = 4.03 x 10⁶, 2.93 x 10⁶, 5 x 10⁶
10⁻⁴ = 1.2x 10⁻⁴, 6 x 10⁻⁴, 5.9 x 10⁻⁴
What is the scientific notation of a number?The standard form for a number is a method by which we write number in a format like b×10ˣ. The value of b should be in between 0 to 10.
Given that,
The numbers,
0.00012, 4030000, 2930000, 0.0006, 5000000, 0.00059
Taking number, 0.00012
To convert it into scientific notation,
It should be in from of b×10ˣ,
So, now dividing and multiplying 10000 into the number 0.00012,
⇒ 0.00012 x (10000/10000)
⇒ (0.00012 x 10000)/10000
⇒ 1.2/10000
⇒ 1.2x 10⁻⁴
Similarly,
0.0006 can be written as 6 x 10⁻⁴
And 0.00059 can be written as 5.9 x 10⁻⁴
Now taking number, 4030000
To convert it into scientific notation,
It should be in from of b×10ˣ,
So, now dividing and multiplying 1000000 into the number 4030000,
⇒ 4030000 x (1000000/1000000)
⇒ (4030000 / 1000000) x 1000000
⇒ 4.03 x 1000000
⇒ 4.03 x 10⁶
Similarly,
2930000 can be written as 2.93 x 10⁶
And 5000000 can be written as 5 x 10⁶
To know more about scientific notation check:
https://brainly.com/question/4953486
#SPJ5
A trapezoid has a height of 10 feet, and base measurements of 20 feet and 8 feet. What is the area?
The answer must be in square feet
A band expects to put 12 songs on their next CD. The band writes and records 25% more songs than they expect to put on the CD. During the editing process, 20% of the songs are removed. How many songs will there be on the final CD?
Two questions in one.
Question 1: Josiah ran ⅘ of a mile in 1/10 of an hour. How long will it take Josiah to run 3 ½ miles?
Question 2: You can mow ½ lawns in ⅗ of an hour. How many laws can you mow in 1 ¼ hours? Explain your answer and show your steps/thinking.
I will mark brailiest
Answer:
Step-by-step explanation:
3 plz ad me as brainlist