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
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.
$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:
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:
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*
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)
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!
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 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!
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
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.
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?
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
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
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
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
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
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]
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.
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]
How much simple interest would x dollars earn in 13 months at a rate of r percent?
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 :)
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.
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:
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
f(x) = 5/4a3 – 3a2 + 1/3a y g(x)= 2/5a3 + 3/4a - 6/5 ???
urgent!!
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?
HELP THIS IS URGENT FIND THE AREA OF THE SHAPE SHOWN BELOW
Answer:
uuhh sorry
Step-by-step explanation:
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
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
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