A number, one-fourth of that number, and one-third of that number are added. The result is 38. What is the original number?​

Answer:

[tex] \frac{ {2}^{4} }{ {2}^{ - 4} } \\ = {2}^{4} . {2}^{4} \\ = {2}^{8} \\ = 256[/tex]

Answer:

2⁸

Step-by-step explanation:

2⁴ ÷ 2⁻⁴ = 2⁸

if the bases are the same and you're dividing then you subtract the exponents

Answer:

11 is the answer.....

Step-by-step explanation:

6x-15+39+90 = 180

Answer:

9-(-2) or 9+2

Step-by-step explanation:

To find the difference of something, subtract one value from the other. It become addition because two negatives make a positive

Answer:

In 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.

Step-by-step explanation:

Given that I deposit $ 10,000 in an account earning 4% interest compounded monthly, to determine how much will you have in the account in 25 years and how much interest will I earn, the following calculation must be performed:

10,000 x (1 + 0.04 / 12) ^ 25x12 = X

10,000 x (1 + 0.00333) ^ 300 = X

10,000 x 2.7137 = X

27,137.65 = X

Therefore, in 25 years I will have $ 27,137.65. Therefore, I will earn $17,137.65 interest.

Hope this help!!!

Have a nice day!!!

Answer:

A. 1/2 cups

Step-by-step explanation:

13/15 is close to 1

1/5 is a small amount

9/20 is just over 1/2

5/11 is just under 1/2

7/15 is just under 1/2

Estimate: 1 + 1/2 + 1/2 + 1/2 + a little = 2 1/2

He needs 3 cups, so he needs another 1/2 cup.

Answer: A. 1/2 cups

Answer:

it a 1/2

Step-by-step explanation:

Answer:

24 + y = 41

y = 17

Step-by-step explanation:

24 + y = 41

y + 24 = 41

y + 24 - 24 = 41 - 24

y = 17

Step-by-step explanation:

Given: [∀x(L(x) → A(x))] →

[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

To prove, we shall follow a proof by contradiction. We shall include the negation of the conclusion for

arguments. Since with just premise, deriving the conclusion is not possible, we have chosen this proof

technique.

Consider ∀x(L(x) → A(x)) ∧ ¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

We need to show that the above expression is unsatisfiable (False).

¬[∀x(L(x) ∧ ∃y(L(y) ∧ H(x, y)) → ∃y(A(y) ∧ H(x, y)))]

∃x¬((L(x) ∧ ∃y(L(y) ∧ H(x, y))) → ∃y(A(y) ∧ H(x, y)))

∃x((L(x) ∧ ∃y(L(y) ∧ H(x, y))) ∧ ¬(∃y(A(y) ∧ H(x, y))))

E.I with respect to x,

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ ¬(∃y(A(y) ∧ H(a, y))), for some a

(L(a) ∧ ∃y(L(y) ∧ H(a, y))) ∧ (∀y(¬A(y) ∧ ¬H(a, y)))

E.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b))) ∧ (∀y(¬A(y) ∧ ¬H(a, y))), for some b

U.I with respect to y,

(L(a) ∧ (L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Since P ∧ Q is P, drop L(a) from the above expression.

(L(b) ∧ H(a, b)) ∧ (¬A(b) ∧ ¬H(a, b))), for any b

Apply distribution

(L(b) ∧ H(a, b) ∧ ¬A(b)) ∨ (L(b) ∧ H(a, b) ∧ ¬H(a, b))

Note: P ∧ ¬P is false. P ∧ f alse is P. Therefore, the above expression is simplified to

(L(b) ∧ H(a, b) ∧ ¬A(b))

U.I of ∀x(L(x) → A(x)) gives L(b) → A(b). The contrapositive of this is ¬A(b) → ¬L(b). Replace

¬A(b) in the above expression with ¬L(b). Thus, we get,

(L(b) ∧ H(a, b) ∧ ¬L(b)), this is again false.

This shows that our assumption that the conclusion is false is wrong. Therefore, the conclusion follows

from the premise.

15

Answer:

Hi, there the answer is

These are the equations with exactly one solution

-5x + 12 = –12x – 12

-5x + 12 = 5x + 12

-5x + 12 = 5x – 5

Hope This Helps :)

Step-by-step explanation:

First degree equations

A first degree equation has the form

ax + b = 0

There are some special cases where the equation can have one, infinitely many or no solution

If , the equation has exactly one solution

If a=0 and b=0 the equation has infinitely many solutions, because it doesn't matter the value of x, it will always be true that 0=0

If a=0 and  the equation has no solution, because it will be equivalent to b=0 and we are saying it's not true. No matter what x is, it's a false statement.

We have been given some equations, we only need to put them in standard form

-5x + 12 = –12x – 12

Rearranging

7x + 24 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = 5x + 12

Rearranging

-10x + 0 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = 5x – 5

Rearranging

-10x + 17 = 0

It has exactly one solution because a is not zero

.......................

-5x + 12 = -5x – 12

Rearranging

0x + 24 = 0

It has no solution, no matter what the value of x is, it's impossible that 24=0

Answer: These are the equations with exactly one solution

-5x + 12 = –12x – 12

-5x + 12 = 5x + 12

-5x + 12 = 5x – 5

The distance from point A to point B is about 1211 feet.

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let h represent the height of the light house. At point A:

tan(10) = h / 796

h = 140.36 feet

At point B, let d represent the horizontal distance from B to light house:

tan(4) = 140.36/d

d = 2007 feet

The distance from A to B = 2007 - 796 = 1211 feet

The distance from point A to point B is about 1211 feet.

Find out more on trigonometric ratio at: https://brainly.com/question/24349828

Answer:

161.8cm²

Step-by-step explanation:

solve for height which is the opposite

opp=x

sin(theata)= opp./hyp.

sin23=x/30

x=30×sin23

x=11.72cm

height=opposite

height=11.72cm

base=adjacent

base=27.6cm

½of 27.6cm=13.8

13.8cm×11.72cm=161.74 (2d.p)

161.74 rounded to the nearest tenths= 161.7

I'm not sure if it's the answer but it's the closest thing to the options

Answer:

the answer is b because -(-6) becomes 6 and 6 is greater than 3

Answer: B.

Step-by-step explanation: A. 45 is not less than or equal to 18. I got 45 because 2 negatives make a positive and I got 18 because it was in absolute value bars making it positive. B. 6 is greater than -3. I got 6 because it is in an absolute value bar. C. 32 is not less 28. I used the same steps I used on the others. D. 9 is not greater than or equal to 10.

Answer:

27.3

Step-by-step explanation:

27.3

Answer:

Plays a musical instrument

Top left

Plays a sport: 0.46

Plays a musical instrument

Top right

Does not Play a sport: 0.54

Does not play a musical instrument

Bottom Left

Plays a sport: 0.73

Does not play a musical instrument

Bottom right

Does not Play a sport: 0.27

Step-by-step explanation:

I hope this helps you! :D

Answer:

The triangle will triple in size.

Answer: C) Next year, 7 out of every 60 students will be taking music.

Step-by-step explanation:

A is wrong because it is an opinion which a table cannot prove.

B is wrong because it says "A representative sample of 60 students) while the answer incorrectly says 30.

C is correct because on the table it says 7 people are taking music and correctly identifies that it's out of 60 students.

D is incorrect for the same reason B is incorrect except this time it says 120.

Answer:

3/14

Step-by-step explanation:

Probability = # of favorable outcomes / # of possible outcomes

Favorable outcomes = we want to find the probability of pulling a blue marble. There are 3 blue marbles so 3 is the number of favorable outcomes

Possible outcomes: to find the number of possible outcomes we simply find the total number of marbles

3 + 7 + 4 which equals 14

So possible outcomes = 14

We now plug in the values into the probability formula

The probability of pulling a blue marble is 3/14

Answer:

3/14

Step-by-step explanation:

you add the red marbles, blue marbles, and green marbles together, which equal 14. Out of the 14, there are only 3 blue marbles so it would be 3/14.  

Answer:

y - 10 = -1/2(x + 4)

General Formulas and Concepts:

Algebra I

Coordinates (x, y)

Point-Slope Form: y - y₁ = m(x - x₁)

Step-by-step explanation:

Step 1: Define

Identify variables

m = -1/2

Point (-4, 10) → x₁ = -4, y₁ = 10

Step 2: Find

Answer: [tex]y=-\frac{1}{2} x+8[/tex]

Step-by-step explanation:

An equation of a line can be in slope intercept form which is y=mx+b

m is the slope, b is the y intercept, x it the x coordinate, and y is the y coordinate. Since we know the slope is -1/2 and we know a x coordinate is -4 and a y coordinate is 10 we can sub them in and solve for the value of b.

[tex]y=mx+b\\10=(-\frac{1}{2})(-4)+b\\10=2+b\\10-2=2+b-2\\8=b[/tex]

The value of b is 8. We can now sub it in for our equation of the line. This time with x and y as variables.

y=-1/2x+8

Answer:

the equation of the regression line will be 1

Answer:

LA = 2πrh

Step-by-step explanation:

The lateral surface area is the area of all the sides of a 3-dimensional object excluding its base and top.

The lateral area of a cylinder is the area of its surfaces excluding the area of its base and top

LA = 2πrh

Answer:

124.8 mi³

Step-by-step explanation:

volume is base area times height.

the base area is a triangle

baseline × triangle height / 2

At = 13×3.2/2

the prism height is 6

so, total volume is

13×3.2×6/2 = 124.8 mi³

Answer: 124.8 mi^3

Step-by-step explanation:

0.5*13*3.2=20.8

20.8*6=124.8

9514 1404 393

Answer:

  x = 63

Step-by-step explanation:

The base angles of each isosceles triangle are equal, so we can write the sum of the four angles in the quadrilateral as ...

  72° +(72° +x°) +x° +90° = 360° . . . . . clockwise from upper left

  2x = 126 . . . . . . . . . divide by °, subtract 234

  x = 63 . . . . . . . . . . . divide by 2

Step-by-step explanation:

de hecho, la respuesta está en la imagen de arriba

Answer:

ok so there is 24 munchkins in the box and the probability of picking a chocolates is 1/3 and the probability of picking a red velvet is 1/4 so the if we multiply these together the probability of picking a chocolates then a red velvet is 1/12 or 8.3 percent

Answer:

Pi is an irrational number, same is pi/4.

Step-by-step explanation:

C = 25 deg

a ≈ 10.72 ft

b ≈ 11.83 ft

Answer:

C = 25

a = 10.72

b = 11.83

Step-by-step explanation:

C:

Solve; 180 - (90 + 65)

a:

Tan(65) = a/5

Tan(65) * 5 = a

10.72 = a

b:

Cos(65) = 5/b

Cos(65) * b = 5

b = 5 / Cos(65)

b = 11.83

Hope this helps!

Answer:

38

Step-by-step explanation:

3x + 2y when X=10 and y=4

3(10) + 2(4)

30 + 8

38

Answer:

65x + 115 = 180

65x = 65

_______

65

x = 1

Answer:

after 10 months

Step-by-step explanation:

Let x be the number of months and y be the amount they still owe.

Sin Ian borrows $1000 from his parents, then the y-intercept b= 1000 since he owes $1000 when x = 0. He pays them back $60 each month The slope is then m = -60 . Substituting in b = 1000 and m = -60 into the slope-intercept form of a line then gives y= mx + b=-60x +1000.

Sin Ken borrows $600 from his parents, then the y-intercept b = 600 since he owes $600 When x= 0. He pays them back $20 per month so the amount he owes decreases $20 each month. The slope is then m = -20 . Substituting in

b= 600 and m = -20 into the slope-intercept form then gives y = mx +b = -20x + 600.

They will owe the same amount when they have the same y-coordinate. Therefore -60x+ 1000= y= -20x+600. Solve this equation for x:

-60x+ 1000 = -20x+ 600

1000 = 40x+ 600

400 = 40x

10=x

They will then owe the same amount after 10 months.

Answer:

0.29

Step-by-step explanation:

Given :

n : ___ 0 _____ 1 ____ 2 ____ 3 ____ 4

P(n) : 0.82___ 0.11 ___0.04 _0.02 ___0.01

The expected number of defect in a shipment can be obtained using the expected value formula :

Expected value, E(X) = Σx*p(x)

Σx*p(x) = (0*0.82) + (1*0.11) + (2*0.04) + (3*0.02) + (4*0.01)

E(X) = 0.29

Hence, the expected number of defect in shipment is 0.29

Answer:

[tex]14 + x \leqslant 26 \\ x \leqslant 26 - 14 \\ { \tt{x \leqslant 12}}[/tex]