If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
a 27-inch board is to be cut into three pieces so that the second piece is 3 times as long as the first piece and the third piece is 5 times as long as the first piece. if x represents the length of the first piece, find the lengths of all three pieces
Step-by-step explanation:
27 = x + 3x +5x
27 = 9x
3 = x
Board 1: (3)(1) = 3 inches
Board 2: (3)(3) = 9 inches
Board 3: (3)(5) = 15 inches
Length of the first piece is 3 inches
Length of the second piece is 9 inches
Length of the third piece is 15 inches
What are equations?An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.
How to find the lengths of all three pieces?According to the problem,
The length of the board is 27 inches.The board is to be cut into three pieces .The second piece is 3 times as long as the first pieceThe third piece is 5 times as long as the first piece.x represents the length of the first piece∴ Length of the second piece = 3x inches
∴ Length of the third piece = 5x inches.
Now, all these pieces will add up to 27 inches.
∴ x + 3x + 5x = 27
⇒ 9x = 27
⇒ x = 3
Length of the first piece = 3 inches
Length of the second piece = (3 x 3) inches = 9 inches
Length of the third piece = (5 x 3) inches = 15 inches
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Is 7, 695 divided by 855 positive or negative?
Answer:
Negative
Step-by-step explanation:
A positive divided by a negative will always be negative.
Answer:
if they are both positive its positive
if ones positive and ones negitive its negative
if they are both negative its positive
Step-by-step explanation:
Make x the subject
3x-ax =2x+5
Step-by-step explanation:
>> ▪︎ 3x-ax=2x+5 ▪︎<< >> ▪︎ 3x-ax-2x=5 ▪︎<<>> ▪︎x(3-2-a)=5 ▪︎<<>> ▪︎x=5/1-a ▪︎<<Answer:
Step-by-step explanation:
>> ▪︎ 3x-ax=2x+5 ▪︎<<
>> ▪︎ 3x-ax-2x=5 ▪︎<<
>> ▪︎x(3-2-a)=5 ▪︎<<
>> ▪︎x=5/1-a ▪︎<<
Henry needs 2 pints of red paint and 3 pints of yellow paint to get a specific shade of orange. If he uses 9 pints of yellow paint and wants the same orange color, how many pints of paint will he need altogether? Explain how you know. 2
Answer:
Henry needs 15 pints of paint altogether
Step-by-step explanation:
If Henry uses 2 pints of red paint and 3 pints of yellow paint to get a specific color, and he now uses a total of 9 pints of yellow, then
3 x 3 = 9 (yellow)
We know that what you do on one side, you do on the other.
2 x 3 = 6 (red)
You add
9 + 6 = 15. (Red and yellow paint)
Which will lead you to the conclusion of 15 pints.
Answer:
Henry will need 15 pints altogether.
Step-by-step explanation:
Add: 6 + 9 = 15 pints
4.) Solve for N
7.) Solve for F
Answer:
See Below
Step-by-step explanation:
4) t = n -r Solve for n
Add r to both sides
t = n -r
+r +r
t +r = n
Or n = t+r
7) [tex]\frac{f}{g}[/tex] = h Solve for f
Multiply both sides by g to get rid of fraction
g/1 (f/g) = h(g)
f = hg
I have an assignment due today. I need help.
If you have time to help me and your serious about it comment on this and I’ll send the problems I need help with.
Thank you
Answer:
62 m/s = 138.7 mi/h
Step-by-step explanation:
62 m/s = 62 x (3600/1000) x (1/1.61)
= 138.7 mi/h
Best Regards!
Five roses cost $25 how many Roses can you purchase for $75
I answered the question but idk if I did it correctly *tap image to see full problem
Answer: 40
Step-by-step explanation:
66-26=40
Answer:
40 trees
Step-by-step explanation:
You started with 26 trees. At the end, you will have 66. It's not 26+66 it is 66-26=trees. Trees=40. So, the workers planted 40 trees.
Help me with this pls
Answer:
x=55, and y=62.5
Step-by-step explanation:
The reason why x=55 is because x and the angle 125 degrees form a linear pair (180 degrees) Hence,
x+125=180
=> x=180-125
=> x=55
Now coming to y, As we see y and 125 do not form a linear pair, so we know that x=the top angle of the triangle in which angle y is there. And with the information we also find that the triangle in which y is present is an isosceles triangle, so the other 2 angle than the top angle are equal, which are y and another angle which is also y as they are the same degrees. Hence, we know x=55, then,
55+2y=180(As the angles in a triangle sum up to 180 degrees)
=> 2y=180-55
=> 2y=125
=> y=125/2
=> y=62.5
Hope my answer helps, Thank you!
Find the midpoint of the segment with the following endpoints.
(-5,5) and (-10,2)
Answer: did you ever get the answer? i’m doing the same problem rn and i have no idea
Step-by-step explanation:
An equation is shown below:
−2(4x − 1) − 7 = 5
Which statement shows a correct next step in solving the equation?
Answer:
Distribute -2 into (4x-1) to get rid of the parenthesis.
Step-by-step explanation:
The first thing you should to in solving for 'x' is to get rid of the parentheses by distributing.
[tex]-2(4x-1)-7=5\\\\-8x-2-7=5[/tex]
Of course, you would also combine like terms to completely simplify the equation to solve for x.
[tex]-8x-9=5[/tex]
Hope this helps.
a pet store has 7 cats here are their weights 12, 12, 9, 16, 11, 11, 9 find the mean weighy of these cats
Answer:
The mean weight of the cats is 11.42 (rounded)
Step-by-step explanation:
To find the mean, you add up all the weights (12, 12, 9, 9, 11, 11, 16) and then divided the sum (80) of the weights by the number of cats (7)
12+12+9+9+11+11+16= 80
80 ÷ 7= 11.42857143 (I rounded my answer to 11.42)
I hope this was helpful. Have a wonderfull rest of your day!
What is the product of (negative 6) (negative 7) (negative 1)?
–42
–14
14
42
Answer:THE CORRECT ANSWER IS (A. -42)
plz mark as brainliest
Answer:
-42
Step-by-step explanation:
took the test on edge
Asher please $156 every six weeks for piano lessons what is the price per year for piano lessons
- Raymond and Rose were working with exponents.
Pari A Raymond claims that 55 * 52 = 53. Rose argues that 55 - 52 = 57. Which one of
them is correct? Use the properties of exponents to justify your answer.
12/25
= 74. Rose argues that
= 745 which one of
7
Part B: Raymond claims that
75
them is correct? Use the properties of exponents to justify your answer.
This Question was not written properly
Complete Question
Raymond and Rose were working with exponents.
Part A: Raymond claims that 5⁵ * 5² =5³ Rose argues that 5⁵ * 5² = 5⁷. Which one of them is correct? Use the properties of exponents to justify your answer.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵. Which one of them is correct? Use the properties of exponents to justify your answer.
Answer:
Part A : Rose is correct
Part B : Raymond is correct
Step-by-step explanation:
Part A:
Raymond claims that 5⁵ * 5² =5³
Rose argues that 5⁵ * 5² = 5⁷.
Which one of them is correct?
Rose is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a × x^b = x^a+b
From the above question, following the above rule we have:
5⁵ * 5² = 5⁵+²
= 5⁷
Hence, Rose is correct.
Part B: Raymond claims that 7⁹/7⁵ = 7⁴. Rose argues that 7⁹/7⁵=7⁴⁵.
Which one of them is correct?
Raymond is correct
Use the properties of exponents to justify your answer.
Using the properties of exponents,
x^a / x^b = x^a-b
From the above question, following the above rule we have:
7⁹/7⁵ = 7⁹-⁵
= 7⁴
Hence, Raymond is correct.
-2(6m + 5) = -5m + 18
solve for m
Answer:
m =-4
Step-by-step explanation:
-12m-10=-5m+18
add 5m to both sides
-7m-10=18
add 10 to both sides
-7m=28
divide both sides by -7
m= -4
Answer: m = -4
Step-by-step explanation: First distribute to get -12m -10 = -5m+18, then add 5m on both sides to get -7m -10 = 18, then add 10 on both sides to get -7m = 28, finally divide by -7 on both sides to get m = -4.
Hope this helps!
60:£3.Give the answer in lowest terms
Answer:
20:£1
Step-by-step explanation:
To simplify a ratio is like like simplifying a fraction
Take 4/8 as an example. Find a number you can divide both numbers with. In this case, it's 4. 4 divided by 4= 1, and 8 divided by 4= 2. So, the simplified version of 4/8 is 1/2. Similarly, with the ration 60:£3, you find the number you can divided both numbers with. In this case, it is 3. 3 divided by 3= 1, and 60 divided by 3= 20.
Final Answer: 20:£1
(4 x 10^-2) x (1 x 10^5)
A) 5 x 10^3
B) 4x 10^3
C) 4 x 10^-7
D) 4 x 10^-10
Answer:
the answer is b!!
What is the slope of the line that connects the points
(-2,6) and (4,0) ?
Answer:
[tex]m=-1[/tex]
Step-by-step explanation:
Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Simply plug in the 2 coordinates into the slope formula to find slope m:
[tex]m=\frac{0-6}{4-(-2)}[/tex]
[tex]m=\frac{-6}{4+2}[/tex]
[tex]m=\frac{-6}{6}[/tex]
[tex]m=-1[/tex]
What is the slope of the line parallel to y = 3x + 2
Zero
1
3
3
-3
Parallel lines have slopes which are equal to each other.
We know that y = 3x + 2 has a slope of 3, therefore, the line parallel to y = 3x + 2 has a slope of 3.
1. What is the solution for 2x-5=7
O x = 6
O x = -6
X = 12
O x = 9
Given, equation in the question which we have to solve is
[tex]2x - 5 = 7[/tex]
Here, we need to find x. So, Let's isolate x on one side of the equation. It is present in the left hand side. Add 5 to both sides,
[tex]2x - 5 + 5 = 7 + 5[/tex]
[tex]2x = 12[/tex]
Divide 2 from both sides,
[tex] \frac{2x}{2} = \frac{12}{2} [/tex]
[tex]x = 6[/tex]
So, the correct option is A.
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Timothy puts $1,500 into a savings account. He receives a 1.35% interest rate from his bank.
If he does not add any money to the account and only collects interest, how much will have have by the time he graduates from high school 40 months later ?
Answer:
$2310
Step-by-step explanation:
1500*1.35%=20.25 each month
20.25*40=810
1500+810=2310
Solve the equation for y:
2x + 5y = 20
Answer:
y = [tex]\frac{20-2x}{5}[/tex]
Step-by-step explanation:
Given
2x + 5y = 20 ( isolate the term in y by subtracting 2x from both sides )
5y = 20 - 2x ( divide both sides by 5 )
y = [tex]\frac{20-2x}{5}[/tex]
Please help brainiest
Answer: The answer is C. 60
Step-by-step explanation:
you have to subtract the known angles to find the missing angles opposite angle. 180-60-70=130 then look at the line KM, it has to equal 180 so subtract the angle we just got to get the other angle 180-130=60
PLEASE HELP I WILL MARK YOU BRAINLIEST
Answer:
16
Step-by-step explanation:
I counted each of the cubes and got 64.
Then I divided it by 4 since you need to divide it be 1/4.
once I divided 4 for 64 I got 16.
AC CE and D is the midpoint of CE. IF CE 10x + 18, DE =7x -1, and BC = 9x - 2, find AB, AB =
Answer:
If you mean: AC=CE, the answer is: AB = 24Step-by-step explanation:
D is the midpoint of CE, then
CD = DE = 0.5CE = 0.5(10x+18) = 5x + 9
So: 5x + 9 = 7x - 1
-9 -9
5x = 7x - 8
-7x -7x
-2x = -8
÷(-2) ÷(-2)
x = 4
AC = CE = 10x + 18 = 40 + 18 = 58
BC = 9x - 2 = 36 - 2= 34
AB = AC - BC = 58 - 34 = 24
D is the midpoint of CE, so if you draw a line with those three points, it'll look like C-D-E.
Since DE = 7x-1, which also means CD = 7x-1.
CD + DE = CE, so (7x-1)+(7x-1) = 10x+18.
Therefore, x = 5 and CE = 68.
Since AC is congruent to CE, AC = 68.
Assuming the point B is somewhere between AC.
Since BC = 9x-2 and x = 5, which means BC = 43.
AC - BC = AB, so 68 - 43 = 25.
Therefore, AB = 25
If ray US is an angle bisector of ∠RUT, find m∠RUT. A. m∠RUT = 80° B. m∠RUT = 40° C. m∠RUT = 20° D. m∠RUT = 10°
Answer:
Answer: m<RUT=80
Step-by-step explanation:
took the test
If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.
What is a bisector in the triangle?
The angle bisector of an angle of a triangle is a straight line that divides the angle into two congruent angles. The three angle bisectors of the angles of a triangle meet in a single point, called the incenter.
What is the angle bisector formula?According to the angle bisector theorem, PQ/PR = QS/RS or a/b = x/y. An angle bisector is a line or ray that divides an angle in a triangle into two equal measures.
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Show how you would set up and equation to solve for x. Then use your answer for x to find the measure of each angle! Rest is in pic
HELPP PLZ LIKE RIGHT NOW
Answer:
[tex]( - 4 \: - \frac{1}{2} ) \: or \: \\ ( - 4 \: - 0.5)[/tex]
Step-by-step explanation:
According to the graph,
[tex](5,-4)=(x_1,y_1) \\
(-3,3)= (x_2, y_2)[/tex]
Midpoint= Image above
CAN SOMEONE PLEASE HELP. SEGMENTS GEOMETRY