Answer:
270 units³
Step-by-step explanation:
l×w×h = 10
lwh = 10
New Volume = (3l)×(3w)×(3h)
= 27×lwh
= 27×10
= 270 units³
Alternately,
Since the sides are increased in the same ratio,
The two prisms are similar figures
For similar figures,
volume1/volume2 = (side1/side2)³
New Volume/10 = (3/1)³ = 27
New Volume = 270 units³
Final answer:
The new volume of a rectangular prism, whose dimensions are tripled, is calculated by cubing the factor of increase (3) and multiplying it by the original volume. The new volume will be 270 cubic units.
Explanation:
If the original volume of a rectangular prism is 10 cubic units and the length, width, and height are all made three times as long, the new volume can be calculated using the principle that volume is proportional to the cube of the linear dimensions of the prism. This is often represented as V imes L³ where V is volume and L is the linear dimension.
To find the new volume, you would multiply each dimension by 3 so the new length (L'), width (W'), and height (H') would be three times the original dimensions. The new volume would then be calculated as:
V' = L' times W' times H' = (3L) times (3W) times (3H)
Since the original volume (V = L imes W imes H) is given as 10 cubic units, and you've multiplied each dimension by 3, you would cube the factor of increase (3³ = 27) and multiply it by the original volume:
V' = 27 imes V = 27 imes 10 = 270 cubic units
Therefore, the new volume of the rectangular prism would be 270 cubic units.
50 pounds to 35 pounds
50 pounds to 35 pound
That is 15 pound decrease and a 15/50 times 100 percent decrease.
15/50 x 100 = 30% decrease
answer: 30% decrease
Ben bowled 156 and 186 in his first two games. What must he bowl in his third game to have an average of at least 160?
Answer:
138
Step-by-step explanation:
let x be the number Ben should bowl in the third game:
(156+186+x)/3=160
156+186+x=480
x=138
Mr. Norris is paid a 5% commission on each boat he sells. What is his commission on a boat that he sells for $125,000?
Answer:
his commission would be $6250
Step-by-step explanation:
please give me brainly :)
Answer:
6250
Step-by-step explanation:
A classroom can accommodate less than 21 students.
Which of the following inequalities represents the number of students the classroom can accommodate?
Answer:
x<21
Step-by-step explanation:
How I always do it is I write down the number that was in the problem. So write down 21. Next I write down less. Then, if it says less, then the inequality sign's open side will face the number. This will be the opposite if the problem says more
The inequality representing a classroom that can accommodate fewer than 21 students is s < 21, which means the classroom can hold any number of students from 1 up to 20.
Explanation:The question asks which inequality represents the number of students a classroom can accommodate if it can hold fewer than 21 students. To express this mathematically, we use an inequality sign. Since the classroom can accommodate less than 21 students, it means the number of students (let's call this number s) must be strictly less than 21. Therefore, the inequality that correctly represents this condition is s < 21.
This inequality means that any whole number of students from 1 up to 20 can fit in the classroom, as all these values are less than 21. It's crucial to understand that the inequality does not include 21 itself, because it specifies "less than," not "less than or equal to."
What subtraction problem has a value of 2/3
Answer:
You have a full amount of chocolate cake and you eat [tex]\frac{1}{3}[/tex] part of the cake and left the remaining amount for the next day. So, what amount of cake that you left for the next day?
Step-by-step explanation:
We have to make a subtraction problem so, that the answer to the problem is [tex]\frac{2}{3}[/tex].
Now, the problem may be described as follows :
You have a full amount of chocolate cake and you eat [tex]\frac{1}{3}[/tex] part of the cake and left the remaining amount for the next day. So, what amount of cake that you left for the next day?
So, the solution is [tex](1 - \frac{1}{3}) = \frac{2}{3}[/tex] amount of the cake. (Answer)
2+22222222222222222222222222
Answer:
22222222222222222222222224
Step-by-step explanation:
Add 2 to 22222222222222222222222222 and you will get 22222222222222222222222224
Answer:
yassssdiogfodiujtg idosuygi8reodsjgbkfcjnvfdkjmnib
Step-by-step explanation:gy7f76gh8uh7t
You randomly draw a marble out of a bag that contains 20 total marbles. 12 of the marbles in the bag are blue.
What is P(draw a blue marble)?
If necessary, round your answer to 2 decimal places.
Answer:
[tex]P(Blue)=0.60[/tex]
Step-by-step explanation:
Probability: [tex]Probability\ of\ an\ event=\frac{favourable\ outcome}{total\ outcome}[/tex]
[tex]Total\ marbles=20\\\\Hence\ total\ outcomes=20\\\\Blue\ marbles=12\\\\Hence\ favourable\ outcomes=12\\\\P(Blue)=\frac{12}{20}\\\\P(Blue)=\frac{2\times 6}{2\times 10}\\\\P(Blue)=\frac{6}{10}\\\\P(Blue)=0.60[/tex]
Please Solve Correctly. And you WILL receive 100 POINTS!!! And become Brainleast!!
Good Luck.
Answer:
Step- by step explanation:
It equals six and he kind of did it right it just wouldn’t look right to other people
Answer:
Step 1: Determine if William is correct
(-6) - (+3)
-6 - 3
-9
So... William was incorrect because he make the 6 positive when it is supposed to be negative.
He did: 6 + (-3) = 3
He was supposed to do: -6 + (-3) = -9
What’s the x-intercepts, vertex, y-intercept? y=(x+1)2-16
The vertex is (-1, -16)
x intercepts is : (3, 0) or (-5, 0)
y intercept is (0, -15)
Solution:
Given is:
[tex]y = (x+1)^2 - 16[/tex]
The vertex form of an equation is given as:
[tex]y = a(x-h)^2 + k[/tex]
Where, (h, k) is the vertex
On comparing the above equation with given,
h = -1
k = -16
Thus the vertex is (-1, -16)
Find the x intercept:To find the x-intercept, substitute y = 0 in given
[tex]0 = (x + 1)^2 - 16\\\\x^2 + 2x + 1 - 16 = 0\\\\x^2 + 2x - 15 = 0\\\\Split\ the\ middle\ term\\\\x^2 - 3x +5x - 15 = 0\\\\(x^2 -3x) + (5x - 15) = 0\\\\x(x - 3) + 5(x - 3) = 0\\\\Factor\ out\ x - 3\\\\(x-3)(x + 5) = 0\\\\x = 3\\\\x = -5[/tex]
Thus x intercepts is : (3, 0) or (-5, 0)
Find the y intercept:To find the y-intercept, substitute x = 0 in given
[tex]y = (0+1)^2 - 16\\\\y = 1 - 16\\\\y = -15[/tex]
Thus the y intercept is (0, -15)
14(5x-2)(x+19)/-7(x+19)(5x-2) simplified?
Answer:
25x3 + 25x2 - 19x + 7
—————————————————————
5x + 2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
[tex]\frac{14(5x-2)(x+19)}{-7(x+19)(5x-2)}[/tex] the (x+19) on the numerator and denominator cancel out
[tex]\frac{14(5x-2)}{-7(5x-2)}[/tex] (5x-2)on the numerator and denominator cancel out
[tex]\frac{14}{-7}[/tex] = [tex]\frac{2}{-1}[/tex] = -2
I hope this helped!
Bill spent less than 26$ on a magazine and five books. The magazine cost 4$
Write an inequality to represent the situation. Be sure to define your variable.
Solve the inequality to find the maximum cost each book.
Answer:
24 dollars
Step-by-step explanation:
6$for each one if u multiply then you'll get the number
Answer:
$24.00
Step-by-step explanation:
hope i helped
You sell a smartphone that was originally priced at $600 but is now on sale for 20% off. You give a loyalty customer an additional 10% discount. What is the total percent of discount the customer receives on the purchase?
Answer:
30% is what was given off the phone
$180 was the deduction price on the phone
Step-by-step explanation:
The price was actually $600
A discount of 20% was given on it
Then late extra 10%
Add of the percentage
20+10=30% off the actual price
30% of $600
30/100*600
18000/100=$180
Answer:
Its 28%
Step-by-step explanation:
I don't know step by step all the others were wrong on here so I picked 28% and it said correct
Describe and correct the error the student made when writing the equation of the line that passes through (-8,5)
and is perpendicular to y = 4x + 2
y-5 = 2(x-(-8))
y-5=+x+2
y-5+5 = 1x+2 +5
y=+x+7 X
Describe the error the student made. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The student should have subtracted from both sides of the equation in order to isolate y.
O B. The student did not simplify the right side of the first equation correctly. Simplifying it correctly yields the equation y-5=
OC. The student should have substituted for X1 and for yı in the point-slope form y-yı = m(x-x1).
OD. The student should have used
as the slope of the perpendicular line.
Answer:
B. On Pearson (-1/4) D on Egdenuity(-1/4)
The student erred in calculating the slope for the line perpendicular to the given line. They should have used -1/4 instead of 2. The correct equation is y - 5 = -1/4 * (x + 8).
Explanation:The error the student made lies in calculating the slope of the line that is perpendicular to given line y = 4x + 2. The slope of this line is 4, therefore the slope of the line perpendicular to it should be the negative reciprocal of 4, which is -1/4, not 2 as the student assumed. We also use the point-slope form of the line which is y - y1 = m(x - x1). Substituting m as -1/4 (the slope of perpendicular line) and the point (-8,5) into the equation, we should get y - 5 = -1/4 * (x + 8).
Learn more about Line Perpendicularityhttps://brainly.com/question/1202004
#SPJ3
The sum of 200 and 7 times a number
Answer: 200+7 * X=
Step-by-step explanation:
Answer:
sum = addition, times = multiplication, a number = a variable (let's say n)
Use this written out problem to write the algebraic expression?
200 + 7n or 7n +200 (both are the same)
Step-by-step explanation:
A rectangle flag had a width of 3 2\3 feet and area of 8 3/4 square feet . Which expression could be used to calculate the length , in feet , of the rectangle
Pretty sure it's 8 3/4 ÷ 3 2/3.
Why?
So say you want to find the length of a rectangle who's area is 6, and the width is 2. You can divide the area by the width to find the length. 6/2 = 3.
Check: 2 * 3 = 6.
Back to the original question: 8 3/4 ÷ 3 2/3.
Improper fractions: 35/4 ÷ 11/3.
Switch division to multiplication and reciprocal: 35/4 * 3/11.
35/4 * 3/11 = 105/44.
Check:
105/44 * 11/3 = 1155/132 = 35/4 = 8 3/4
Length = 105/44
Final answer:
To find the length of the rectangle, we use the formula Area = length imes width, converting the given mixed numbers into improper fractions, and then dividing the area by the width.
Explanation:
To calculate the length of the rectangle given the width and the area, we can use the formula for the area of a rectangle: Area = length times width. To isolate the length, we divide both sides of the equation by the width. Given that the width of the rectangle is 3 2/3 feet and the area is 8 3/4 square feet, the expression to find the length is:
Length = Area / Width
First, we convert the mixed numbers into improper fractions:
Width: 3 2/3 = 11/3 feet
Area: 8 3/4 = 35/4 square feet
Then, the calculation for the length is:
Length = (35/4) / (11/3) feet
Apply the distributive property to create an equivalent expression.
4\left(3 + \dfrac14c - \dfrac12d\right) =4(3+
4
1
c−
2
1
d)=
Answer:
[tex]12+c-2d[/tex]
Step-by-step explanation:
The correct expression of the problem is
[tex]4\left(3 + \dfrac14c - \dfrac12d\right)[/tex]
Applying the distributive property
[tex]4\left(3 + \dfrac14c - \dfrac12d\right)=(4*3)+(4*\dfrac{1}{4} c)-(4*\dfrac{1}{2} d)=(12)+(c)-(2d)[/tex]
therefore
The equivalent expression is equal to
[tex]12+c-2d[/tex]
I need to know whether or not 15, 13, 11, 9, ... is an arithmetic sequence
Answer: Yes
Step-by-step explanation: An arithmetic sequence is a sequence that has a common difference. The common difference is the number that is repeatedly added or subtracted to reach the next term in the sequence.
In this sequence, notice that we start with 15. Then, we subtract 2 to reach our next term which is 13. Next, we subtract 2 to get to our next term which is 11. In the same way, we subtract 2 from 11 to reach our next term, 9.
The dot dot dots just mean that this sequence goes on forever so to answer your question, this is indeed an arithmetic sequence.
Beth started a workout program. On Monday, she did 15 sit-ups.
On Tuesday, she did 21 sit-ups, and on Wednesday, Beth did
27 sit-ups. Make a conjecture about the number of sit-ups Beth
will do on Friday.
Help, explain, then you get brainliest and points.
The scale will draw UP to a larger dimension.
The width would be 16 and the length would be 24.
When you scale factor. You basically multiply its initial number by the amount of ratio given. Since it said scale factor 4. You multiply the width and length by 4.
One cup equals approximately 236 ml. Approximately how many ml are there in one gallon
Answer:
Approximately there are 3,785.6 milliliters in one gallon
Step-by-step explanation:
Let's find out how many milliliters are there in one gallon.
1 US Cup = 236.6 ml (actual equivalence)
Let's recall that:
16 US Cups = 1 US Gallon
Therefore,
1 US Gallon = 16 * 236.6 ml
1 US Gallon = 3,785.6 ml
Approximately there are 3,785.6 milliliters in one gallon
An artist is selling children's crafts. Necklaces cost $2.25 each, and bracelets cost $1.50 per each.
Select all the combinations of necklaces and bracelets that the artist could sell for exactly $12.00.
A:
5 necklaces and 1 bracelet
B:
2 necklaces and 5 bracelets
C:
3 necklaces and 3 bracelet
D:
4 necklaces and 2 bracelets
E:
3 necklaces and 5 bracelets
F:
6 necklaces and no bracelets
G:
No necklaces and 8 bracelets
Answer:
The combinations of necklaces and bracelets that the artist could sell for exactly $12.00 are
B: 2 necklaces and 5 bracelets
D: 4 necklaces and 2 bracelets
G: No necklaces and 8 bracelets
Step-by-step explanation:
let the number of necklace be x
the number of bracelets be y
Then
The cost of one necklace is $2.25
The cost of one bracelets is $1.50
Thus
x(2.25) + y(1.50) = 12.00-------------------------(1)
Option A : 5 necklaces and 1 bracelet
(5)(2.25) + (1)(1.50) = 12.00
11.25 + 1.50 = 12.00
12.75 > 12.00
Option B :2 necklaces and 5 bracelets
(2)(2.25) + (5)(1.50) = 12.00
4.5 + 7.5 = 12.00
12. 00 = 12.00
Option C: 3 necklaces and 3 bracelets
(3)(2.25) + (3)(1.50) = 12.00
6.75 + 4.50 = 12.00
11.25 < 12.00
Option D: 4 necklaces and 2 bracelets
(4)(2.25) + (2)(1.50) = 12.00
9.00 + 3.00 = 12.00
12.00 = 12.00
Option E: 3 necklaces and 5 bracelets
(3)(2.25) + (5)(1.50) = 12.00
6.75 + 7.5 = 12.00
14.25 > 12.00
Option F: 6 necklaces and no bracelets
(6)(2.25) + (0)(1.50) = 12.00
13.5 + 0 = 12.00
13.5 > 12.00
Option G: No necklaces and 8 bracelets
(0)(2.25) + (0)(1.50) = 12.00
0 +12.00= 12.00
12.00 = 12.00
The combinations of necklaces and bracelets that the artist could sell for exactly $12.00.
B: 2 necklaces and 5 bracelets
D: 4 necklaces and 2 bracelets
G: No necklaces and 8 bracelets
Since the artist is selling necklaces at $2.25 each, and bracelets at $1.50 per each, then the corresponding values will be:
2(2.25) + 5(1.50) = 4.50 + 7.50 = 12.00
4(2.25) + 2(1.50) = 9 + 3 = 12.00
0(2.25) + 8(1.50) = 0 + 12 = 12
In conclusion, the correct options are B, D, and G.
Read related link on:
https://brainly.com/question/15007030
What helper fact did you double to solve 8 x 6
Answer: 48
Step-by-step explanation:
You can either add 8 six times or get a calculator and solve.
When you are born about 75% of your weight is water. If a newborn weighs 8 pounds, how many of
those pounds are water?
Answer:6
Step-by-step explanation:
If you were to divide 8 by 2 you would get 4 and this makes it easier to get the answer. 75% of 4 is 3 so multiple 3 by 2 to get 6.
Are the polygons similar? If they are, choose the correct similarity statement and scale factor. Not drawn to scale.
Option B: [tex]$\Delta R S T \sim \Delta UV W ; \frac{5}{6}$[/tex]
Explanation:
The polygons are similar because in [tex]$\Delta R S T$[/tex], the measure of ∠R=32°
Also, in [tex]$\Delta U V W$[/tex], the measure of ∠U=32°
Now, we shall find the scale factor,
Since, [tex]$\Delta R S T \sim \Delta U V W$[/tex], then the sides are proportional which is given by,
[tex]\frac{RS}{UV}[/tex]
Substituting the values of RS and UV from the figure, we get,
[tex]\frac{10}{12}[/tex]
Simplifying, we have,
[tex]$\frac{5}{6}$[/tex]
Thus, the scale factor is [tex]$\frac{5}{6}$[/tex]
Hence, Option B is the correct answer.
Which expressions are equivalent to the one below? Check all that apply.
logg 5 + logs 125
Answer:
Step-by-step explanation:
B 4C and log 625
The population of growth of a town is 20,000 it decreased at a rate of 9% per year in about how many years will the population be fewer than 13,000
Answer:
4 years
Step-by-step explanation:
9% of the population is 1800. subtract that to get 18200. thats 1 year. subtract again to get 16400. thats 2 years. again to get 14600. 3 years. and then again to get 12800 which is less than 13000. so its 4 years.
Final answer:
Using the exponential decay formula, it takes approximately 8 years for a town's population of 20,000 to decrease to fewer than 13,000 at a yearly decrease rate of 9%.
Explanation:
The question involves calculating the number of years it takes for a town's population to decrease to fewer than 13,000 given an initial population of 20,000 and a yearly decrease rate of 9%. To solve this, we use the formula for exponential decay, which is P(t) = P₀[tex]e^{rt}[/tex], where P(t) is the population at time t, P0 is the initial population, r is the rate of decrease, and t is the time in years.
Substituting the given values, we have 13,000 = 20,000[tex]e^{-0.09t}[/tex]. Solving for t, we take natural logarithms on both sides, which gives ln(13,000/20,000) = -0.09t, leading to t = ln(13,000/20,000) / -0.09. This calculation yields t ≈ 8.04 years, meaning the population will be fewer than 13,000 in about 8 years.
This is a practical application of exponential decay in analyzing population dynamics, highlighting how populations decrease over time under consistent negative growth rates.
group of baseball fans can see home plate from a 40 meter tall building outside the stadium. The angle of vision has a tangent of
9
4
. What is the horizontal distance, in meters, to home plate?
Answer:
17.78 meters
Step-by-step explanation:
Let
x ----> the horizontal distance, in meters, to home plate
[tex]\theta[/tex] ----> the angle of vision
we know that
[tex]tan(\theta)=\frac{40}{x}[/tex] ----> by TOA (opposite side divided by the adjacent side)
we have
[tex]tan(\theta)=\frac{9}{4}[/tex]
substitute
[tex]\frac{9}{4}=\frac{40}{x}[/tex]
solve for x
[tex]x=40(4)/9\\x=17.78\ m[/tex]
Two students were given the expression shown to simplify. Use the drop-down menus to complete the statements about whether each student's answer is an equivalent expression. Then choose an expression that is equivalent. 6 - (2 - 4x)
Sophia: 6+2+4x
Sophia's expression is incorrect/correct because ______.
Ursula: 6−(−2x)
Ursula's expression is incorrect/correct because _______.
Equivalent Expression
A correct equivalent expression is ______.
Sophia's expression is incorrect because she did not multiply 2 by -1 correctly.
Ursula's expression is incorrect because she cannot simplify 2-4x.
A correct equivalent expression is 6-2+4x.
What can I say? I got this correct on ttm.
Hope you have a great day~
Paleontologists believe the Diplodocus dinosaur weighed about 24,000 pounds. The
average person can lift 150 pounds. Approximately how many people would it take to lift
a Diplodocus?
Answer:
160 people
Step-by-step explanation:
(24000 lb)/(150 lb/person) = (24000/150) persons = 160 persons
If the weight could be evenly distributed, it would take about 160 people to lift a diplodocus.
assume that y varies directly with x, then solve.
if y=2 2/3 when x=1/4, find y when x=1 1/8.
y=?
Answer:
12
Step-by-step explanation:
y = kx
2⅔ = k(¼)
8/3 = k/4
k = 4×8/3 = 32/3
y = (32/3)x
y = (32/3)(1⅛)
y = (32/3)(9/8)
y = 3×4 = 12