Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?

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.

Answer:

Step-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

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

An equation is a mathematical statement which equate two algebraic expressions. An equation has an equal to (=) sign in between the expression.

According to the problem,

∴ 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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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]

Answer:

$2310

Step-by-step explanation:

1500*1.35%=20.25 each month

20.25*40=810

1500+810=2310

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!

Answer:

the answer is b!!

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!

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]

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.

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

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!

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

Answer:

Answer: m<RUT=80

Step-by-step explanation:

took the test

If ray US is an angle bisector of ∠RUT, m∠RUT = 80°.

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.

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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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

Answer:THE CORRECT ANSWER IS (A. -42)

plz mark as brainliest

Answer:

-42

Step-by-step explanation:

took the test on edge

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.

━━━━━━━━━━━━━━━━━━━━

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:

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.

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!

Step-by-step explanation:

Answer:

Step-by-step explanation:

>> ▪︎ 3x-ax=2x+5 ▪︎<<

>> ▪︎ 3x-ax-2x=5 ▪︎<<

>> ▪︎x(3-2-a)=5 ▪︎<<

>> ▪︎x=5/1-a ▪︎<<

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.

Answer: did you ever get the answer? i’m doing the same problem rn and i have no idea

Step-by-step explanation:

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.

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

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