Answer:
2 unit cubes of 7 units side length can fill the volume of the solid without overlap
Step-by-step explanation:
Volume of a cube is L^3
Let the number of cubes be n
Since the cubes are similar,
then;
nL^3 = 686
nL^3 = 343 * 2
By inspection
L^3 = 343 (since it is a perfect cube and the cube root is 7)
n = 2
Find the missing side lengths leave your answerss as radicals
Answer:
n=7
m= 7[tex]\sqrt{3}[/tex]
Step-by-step explanation:
lmk if you need work
HELP THIS IS URGENT FIND THE AREA OF THE SHAPE SHOWN BELOW
Answer:
uuhh sorry
Step-by-step explanation:
6 1 message Noah's dog eats 8 ounces of dog food each day. Noah bought a 28-pound bag of dog food. How many 8-ounce servings are in a 28-pound bag of dog food?
Solve: |x - 4| = 0
Help if can
Answer:
answer is x=4 I'm pretty sure
Step-by-step explanation:
I used a calculator
Answer:
x=4
Step-by-step explanation:
If you plug 4 in, 4-4=0 and the absolute value will not change anything.
00:0
A toy shop purchases 125 identical stuffiedi animals for a total cost of $312.50 and sells them for $7 each
What is the percent markup?
%
Answer:
They marked it up 30 cents
Step-by-step explanation:
you do 312.50 divided by 125. Then you get 2.50. Then you multiply 7 times 125 then you get 2.80. Finally you do 2.80 minus 2.50 which equals 30 cents.
Parallel to the line y=-3x + 5 passes through (-4,5)
Answer:
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
Step-by-step explanation:
Given equation of line is:
[tex]y = -3x+5[/tex]
General form of slope-intercept equation of line is:
[tex]y=mx+b[/tex]
Comparing both we get
m = -3
The slope of two parallel line sis equal.
Let m1 be the slope of line parallel to given line, then
m1 = -3
Putting in general form
[tex]y = -3x+b[/tex]
Putting (-4,5) in equation
[tex]5 = -3(-4) +b\\5 = 12+b\\b = 5-12\\b = -7[/tex]
Putting in the general form, we get
[tex]y = -3x-7[/tex]
Hence,
The equation of line that is Parallel to the line y=-3x + 5 passes through (-4,5) is: y = -3x-7
if £2000 is placed into a bank account that pays 3% compound interest per year, how much will be in the account after two years?
Answer:
2121.8
Step-by-step explanation:
2000(1+0.03/1)^2
A= P(1+ r/n) ^nt
A = final amount
P = initial principal balance
r = interest rate
n = number of times interest applied per time period
t = number of time periods elapsed
I don't remember what I learned. So, this might be wrong because I googled the formula :)
The sales tax in the town where Amanda lives is 9%. Amanda paid $36 in sales tax on a new stereo. What was the price of the stereo?
Answer:
$400
Step-by-step explanation:
9%= .09
$36÷.09=$400
Answer:
400
9 percent equals .09
36 divided by ,09 equals 400
400 would be your answer
Someone please help me with my whole quiz! I am on question 5. I am doing a lot of points for this!
Answer:
For any equation X€R But here is Nothing like it.
Step-by-step explanation:
0 = -x^-4 is wrong to say.
Elijah builds model airplanes at a constant rate. He can build 5 model airplanes in 150 minutes, and 10 model airplanes in 300 minutes. How long would it take him to build 15 model airplanes.
Answer:
450 minutes
Step-by-step explanation:
Since Elijah can build 5 model airplanes in 150 minutes. He can build 1 model airplane in 30 minutes. To find this you divide 150 by 5. The question asks for how many minutes it would take Elijah to build 15 model airplanes. Since 1 x 15 = 15 model airplanes, you use proportions and also multiple the time by 15, so 30 x 15 = 450 minutes.
Answer:
450 Minutes or 7 hours 30 minutes
Step-by-step explanation:
Because the rate of Sets to minutes is 1:30 for every 1 he builds it take 30 minutes so 30 x 15 = 450 or 150 x 3 because every 5 sets there 150 minutes
Hope this helped :)
What is a proportional relationship?
Answer:
Proportional relationships are relationships between two variables where their ratios are equivalent. Another way to think about them is that, in a proportional relationship, one variable is always a constant value times the other. That constant is know as the "constant of proportionality
Step-by-step explanation:
please help
the answer choices are
8 and 7/13
4 and 28/30
8 and 6/30
8 and 28/30
will give brainlyest
Answer:
answer is 8 and 28/30
Step-by-step explanation:
4) Adult tickets for the evening show at XD Theater are $11 and children's tickets are $Belf the theater seats 250 people, how many adult tickets must be sold for $2.300 of total sales? Answer: adult tickets
Omitted value: The price of children ticket was omitted in the question, so i used $8 to solve. You can input the correct value and solve the same way following the steps.
Answer: 100 adult tickets must be sold.
Step-by-step explanation:
step 1
let x represent Adults
AND y represent children
Since the theater seats 250 people we have that
x+y = 250..... equation 1
Also price for Adult ticket = $11
and price children ticket =$8
With total sales at $2,300, we have that
11x + 8y= 2300----- equation 2
Step 2
Making y subject in equation 1
' x+y = 250
y= 250-x
Putting y= 250- x in equation 2
11x + 8(250-x)= 2300
11x +2000-8x= 2300
11x -8x = 2300-2000
3x= 300
x 300/3
x= 100.
To find y
x+y = 250
100+y=250
y=250-100
y=150
Therefore 100 adult tickets and 150 children tickets must be sold to get a total sales of $2,300
3) A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then
find AB
Answer:
AB = 8
Step-by-step explanation:
A is between B and C. If BC= 8x + 5, AB= 2x + 4, and AC= 3x + 7, then find AB
Step 1
Find x
BC = AB + AC
8x + 5 = 2x + 4 + 3x + 7
Collect like terms
8x - 2x - 3x = +4 + 7 - 5
3x = 6
x = 2
Step 2
Find AB
= AB= 2x + 4
AB = 2(2) + 4
AB = 4 + 4
AB = 8
In △BCD, H is the centroid. If HF=6 find BF.
Answer:
18
Step-by-step explanation:
The centroid of a triangle is located ⅓ of the distance from each side to the opposite vertex
So HF=⅓BF
So BF=3xHF=3x6=18
Determine the remaining sides and angles of the triangle ABC
what is the measure of angle B
what is the length of side a
what is the length of side b
Answer:
The measure of angle B is 41.5°
The length of side a is 30.6 feet ⇒ to the nearest tenth
The length of side b is 32.9 feet ⇒ to the nearest tenth
Step-by-step explanation:
The sum of the measures of the interior angles in a triangle is 180°In the given Δ ABC
∵ m∠A = 38.1°
∵ m∠C = 100.4°
→ By using the fact above
∵ m∠A + m∠B + m∠C = 180°
∴ 38.1 + m∠B + 100.4 = 180
→ Add the like terms in the left side
∴ 138.5 + m∠B = 180
→ Subtract 138.5 from both sides
∴ m∠B = 41.5°
∴ The measure of angle B is 41.5°
∵ a is the opposite side of ∠A
∵ b is the opposite side of ∠B
∵ c is the opposite side of ∠C
→ By using the sine rule
∴ [tex]\frac{a}{sinA}[/tex] = [tex]\frac{b}{sinB}[/tex] = [tex]\frac{c}{sinC}[/tex]
∵ c = 48.4 ft, m∠A = 38.1°, m∠B = 41.5°, and m∠C = 100.4
→ Substitute them in the sine rule above
∴ [tex]\frac{a}{sin38.1}[/tex] = [tex]\frac{b}{sin41.5}[/tex] = [tex]\frac{48.4}{sin100.4}[/tex]
→ By using cross multiplication between the 1st and the 3rd fractions
∴ a × sin 100.4 = 48.8 × sin 38.1
→ Divide both sides by sin 100.4
∴ a = 30.61429861
∴ The length of side a is 30.6 feet ⇒ to the nearest tenth
→ By using cross multiplication between the 2nd and the 3rd fractions
∴ b × sin 100.4 = 48.8 × sin 41.5
→ Divide both sides by sin 100.4
∴ b = 32.87596206
∴ The length of side b is 32.9 feet ⇒ to the nearest tenth
3p- 2c^3- 3c^3p +2 Write as a product
Answer:
[tex] (3p + 2) (1 - c)(1 + c + {c}^{2} )[/tex]
Step-by-step explanation:
[tex]3p- 2c^3- 3c^3p +2 \\ \\ = (3p - 3 {c}^{3} p) +( 2 - 2c^3) \\ \\ = 3p(1 - c^3) + 2(1 - c^3) \\ \\ = (1 - c^3)(3p + 2) \\ \\ = (1 - c)(1 + c + {c}^{2} )(3p + 2) \\ \\ = \bold{ \red{(3p + 2) (1 - c)(1 + c + {c}^{2} )}}[/tex]
what is the value of 4/5(8+7)-2/3(8+7)
Answer:
The answer is 2.
Hope this helps and if you could mark this as brainliest. Thanks!
Please help ASAP! Mathematics!
Answer:
B.) See attachment below
Step-by-step explanation:
Answer:
Personally, I would say the answer is B.
But don't quote me.
Sorry if i'm wrong. Let me know if I am.
Have a great day hon.
HELP PLEASE
Use AAS to prove the triangles congruent.
Given: AB || GH, AC || PH, AC « FH
Prove: ABC - AHGF
H
Complete the flowchart proof.
Proof:
ZBZG
AB | GH
Given
1
ZACB ZHPG
AABC AHGF
AC | FH
Given
2
AAS
AC PH
Given
Answer:
The 1st the 3rd and 4th are the answers
Step-by-step explanation:
Edgen
Last year at a certain high school, 12 students sought the nomination for president of the student body. In how many ways could the voters (student body) rank their first 4 choices?
Answer:
495 different waysStep-by-step explanation:
This question bothers on combination. Combination has to do with selection. When selecting r objects from a pool of n objects, this is expressed as;
nCr = n!/(n-r)!r!
For us to choose rank the first 4 choices from 12 students nominated, this can be done in 12C4 number of ways;
12C4 = 12!/(12-4)!4!
12C4 = 12!/8!4!
12C4 = 12*11*10*9*8!/8!*4*3*2
12C4 = 12*11*10*9/24
12C4 = 11880/24
12C4 = 495 ways
Hence this can be done in 495 different ways
if a(2x-3)=bx+5 then the solution for x in terms of a and b is
Answer:
x=(3a+5)/(2a-b)
Step-by-step explanation:
first we distribute the a to the 2x and -3
2ax -3a=bx+5
we move the -3a over by adding 3a
2ax=bx+5+3a
then we move the bx over
2ax-bx=5+3a
we can now group the left side like this
x(2a-b)=5+3a)
to find x all we must do is divide both sides by (2a-b)
x=(3a+5)/(2a-b)
The ratio of pizza to nachos sold during A-lunch is 4 to 3. There was 48 nachos sold. What number of pizzas sold during A-lunch?
Answer:
64 pizzas
Step-by-step explanation:
4:3 * x:48
x resembles the amount of pizzas sold,
what times 3 = 48?
x=16
4 * 16 is 64
64 pizzas were sold
* Let me know if you have any questions*
How much simple interest would x dollars earn in 13 months at a rate of r percent?
$1,400 principal earning 6%, compounded semi-annually, after 10 years
Answer: $2528.56 is the answer because if you do the problem you should get something like this
A=P(1+r/n)^nt
Plug in the values:
P=1400, r=6/100=0.6,
n=2 and t=10
A=1400(1+.06/2)^2(10)
A=$2528.56
Hope it helped
Yours,
Nathaniel
Step-by-step explanation:
7+5(x−3)=227, plus, 5, left parenthesis, x, minus, 3, right parenthesis, equals, 22 a true statement?
Answer:
x = 47
Step-by-step explanation:
Given the equation :
7+5(x−3)=227
Expand the equation :
7 + 5x - 15 = 227
5x = 227 + 15 - 7
5x = 235
x = 235 /5
x = 47
Statement is true at x = 47
1/2 + 5/2 =
I need help with this
Answer:
3
Step-by-step explanation:
1/2+5/2= 6/2= 3/1= 3
I hope this helps you and good luck!
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!
The image below shows the parts of the pair of similar triangles that we've solved for so far in the video. What is the length of side AB?
A cardboard tube used for storing posters has the shape of a cylinder. It is 100 centimeters long and has a diameter of 8 canimeters. What is the volume of the tube
Answer:
[tex]Volume = 5028.6cm^3[/tex]
Step-by-step explanation:
Given
[tex]Height = 10cm[/tex]
[tex]Diameter = 8cm[/tex]
Required
Determine the volume
The volume of a cylinder is calculated as thus:
[tex]Volume = \pi r^2h[/tex]
Where [tex]r = radius[/tex]
[tex]r = \frac{1}{2} * Diameter[/tex]
[tex]r = \frac{1}{2} * 8cm[/tex]
[tex]r = 4cm[/tex]
[tex]h = 100cm[/tex]
Take
[tex]\pi = \frac{22}{7}[/tex], so we have
[tex]Volume = \pi r^2h[/tex]
[tex]Volume = \frac{22}{7} * 4^2 * 100[/tex]
[tex]Volume = \frac{22}{7} * 16 * 100[/tex]
[tex]Volume = \frac{22 * 16 * 100}{7}[/tex]
[tex]Volume = \frac{35200}{7}[/tex]
[tex]Volume = 5028.6cm^3[/tex]