Which algebic expression is “ ten less than a number divided by twelve “

Answer:

28°

Step-by-step explanation:

Theorem: the exterior angle of a triangle is equal tobthe sum of opposite interior angles of the triangle

therefore,

55 = unknown angle + 27

let the unknown angle be x

55 = x + 27

isolating x

x = 55 - 27

x = 28

thus, the missing angle is 28°

Answer:

A

Step-by-step explanation:

Rosa started with d amount of drawings. After selling 17, she has 22 left. So the equation is d-17=22. 17+22=39, so d must equal 39.

Answer:

She has 23 nickels and 5 dimes.

Step-by-step explanation:

Let n = the number of nickles and d = the number of dimes.

The number of each = 28. Set up the equation:

n + d = 28

Solve for n:

n = 28 - d

The total amount is $1.65 or 165 cents:

5n + 10d = 165

Substitute:

5(28 - d) + 10d = 165

140 - 5d + 10d = 165

140 + 5d = 165

5d = 165 - 140

5d = 25

d = 5, the number of dimes.

Solve for n:

n = 28 - d

n = 28 - 5 = 23, the number of nickles.

Proof:

5n + 10d = 165

5(23) + 10(5) = 165

115 + 50 = 165

165 = 165

Hope this Helps! Have an Awesome Day!!! <3

Step-by-step explanation:

Answer:

Sofia has 23 nickles & 5 dimes

Step-by-step explanation:

The number of each is 28

Form an equation:

[tex]n+d=28[/tex]

Solve for n:

[tex]n=28-d[/tex]

The total amount is $1.65 for 165 cents:

[tex]5n+10d=165[/tex]

Substitute:

[tex]5(28-d)+10d=165[/tex]

[tex]140-5d+10d=165[/tex]

[tex]140+5d=165[/tex]

[tex]5d=165-140[/tex]

[tex]5d=25[/tex]

[tex]d=25/5[/tex]

[tex]d=5[/tex]

Solve for n:

[tex]n=28-d[/tex]

[tex]n=28-5=23[/tex] ⇒ the number of nickles

CHECK:

[tex]5n+10d=165[/tex]

[tex]5(23)+10(5)=165[/tex]

[tex]115+50=165[/tex]

[tex]165=165[/tex]

hope this helps....

Answer:

Market price of set = 25.14

Step-by-step explanation:

Given:

Discount percentage = 20%

Service charge = 10%

GST = 7%

Amount pays = 23.54

FInd:

Market price of set

Computation:

Assume;

Market price of set = a

Market price of set after discount = a(1-20%)

Market price of set after discount = 0.80a

Market price of set after discount + (Market price of set after discount)(Service charge) + (Market price of set after discount)(GST) = Amount pays

0.80a + (0.80a)(10%) + (0.80a)(7%) = 23.54

0.80a + 0.08a + 0.056a = 23.54

0.936a = 23.54

a = 25.14

Market price of set = 25.14

Answer:

B) 17 games.

Step-by-step explanation:

Let g represent the number of games Mark played.

Since there is a $5 entrance fee and each game costs an additional $1.25, we can write the expression:

[tex]1.25g+5[/tex]

Which represents that total cost after g games.

Since we know that Mark spent a total of $26.25:

[tex]1.25g+5=26.25[/tex]

Solve for g. Subtract five from both sides:

[tex]1.25g=21.25[/tex]

And divide both sides by 1.25. Hence:

[tex]g=17[/tex]

So, Mark played a total of 17 games.

Our answer is B.

Answer:

Mark played 17 games

Step-by-step explanation:

26.25-5 = 21.25

21.25 divided by 1.25 is 17

~hope this helps~

:)

Step-by-step explanation:

a) k = 1

b) geometric progression formula:

Tn = ar^(n-1)

first term, a = 3/2

The only function rule that works is A.

Instead of using f(x) - use y

Then place the numbers in for x and see which are true. The answer is A

Answer:

3/8 feet long

Step-by-step explanation:

Find how long each piece was by dividing 6 by 16:

6/16

Simplify this by dividing each number by 2:

6/16

= 3/8

So, each piece was 3/8 feet long

Hello,

[tex]f^{-1}(6)=5[/tex]

Answer:

1) 3000 + 125m

2) 3000 + 125m = 5000

3) M= 16

4) It would take 16 months

Step-by-step explanation:

Okay so no since there are no other transaction and you already have a balance of 3000 with a monthly Fee of 125 the equation shpuld be like this.

So every month you add 125,we dont know how much months we have to pay so we can use the variable given to us in this case “M”. So your base expression should look like this,

3000 + 125m (3000 base fee that doesnt change, and 125 every month fee)

Then it asked us to put it as the final balance as 5000, so using the base expression we can do this

3000 + 125m = 5000

Now to solve it you would solve it like any other equation

5000-3000=2000

2000=125m

2000/125= 16

Okay so m = 16

M in this case stands for months so the final answer would be it would take 16 months to reach the final balance of 5000

Given :-

To Find :-

Solution :-

We know that ,

→ Distance = Speed × Time

So that ,

→ Distance = 40 km/hr × 0.5 hr

→ Distance = 40km/hr × 1/2 hr

→ Distance = 20km .

Hence the required answer is 20km .

Answer:

[tex] ({x}^{2} + 4 )( {x}^{2} - 4) \\ 1)( {x}^{2} - 16) \\ = (x - 4)(x + 4) \\ 2)( {x}^{2} + 16) \\ = (x - 4)(x + 4) \\ 3) {x}^{2} + 8x + 16 \\ {x}^{2} + (4 + 4)x + 16 \\ {x}^{2} + 4x + 4x + 16 \\ x(x + 4) + 4(x + 4) \\ (x + 4)(x + 4) \\ 4) {x}^{2} - 8x - 16 \\ {x}^{2} - (4 + 4)x - 16 \\ {x}^{2} - 4x + 4x - 16 \\ x(x - 4) + 4(x - 4) \\ (x - 4)(x + 4)[/tex]

Answer:

[tex]cos \theta = 0.6[/tex]

Step-by-step explanation:

Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

[tex]cos \theta = \frac{adjacent}{hypotenuse} , \ where \ adjacent = 0.6 ,\ hypotenuse \ = r= 1[/tex]

[tex]cos \theta = \frac{0.6}{1}\\\\cos \theta = 0.6\\\\\theta = cos^{-1} \ 0.6\\\\\theta = 53.13^\circ[/tex]

The value of cos θ is,

⇒ cos  θ = 0.6

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Now, We can Draw a line from point ( 0.6, 0.8 ) to the X - axis, forming a right triangle with hypotenuse = r = 1 , adjacent = 0.6,  opposite = 0.8

Hence, We can formulate;

⇒ cos θ = 0.6 / 1

⇒ θ = cos ⁻¹ 0.6

⇒ θ = 53.13°

Thus, The value of cos θ is,

⇒ cos  θ = 0.6

Learn more about the circle visit:

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Answer:

1,2,4,7,8,14,28,56 those are the divisors for 56

Step-by-step explanation:

hope that helps >3

56 7*2^3 1,2,4,7,8,14,28,56

Answer:

Null set

Step-by-step explanation:

Odd(0)

Even (E)

Prime (P)

Answer:

Its A since the other person didnt say it

Step-by-step explanation:

Answer:

SOH-CAH-TOA

tan = opposite/adjacent

tan J = 15/20 = 3/4

Step-by-step explanation:

Answer:

A. 5,425.92 m3

Step-by-step explanation:

Radius = 24m

Length = 12m

Volume = Area * Length

Area = π * (radius ^2)

Radius = Diameter / 2

Radius = 24m / 2 = 12m

Area = π * (12m^2)

Area = 3.14 * 144  = 452.16m

Volume = 452.16m * 12m

Volume = 5425.92m3

Answer:

x = 9

Step-by-step explanation:

The central angle is equal in measure to the arc that subtends it, that is

9x - 1 = 80 ( add 1 to both sides )

9x = 81 ( divide both sides by 9 )

x = 9

Answer:

that thing is not seeing properly and you can capture it again and resend it

Start by doing the binomial expansion of (x+y)^6 where x represents success. This is

(x^6y^0) + 6(x^5y^1) +15(x^4y^2) +20(x^3y^3) +15(x^2y^4) +6(x^1y^5) +(x^0y^6)

We are interested in the x^3y^3 term which represents exactly 3 sucesses. Since the probalbility of sucess and failure are both .5 we should be able to figure this out just using the coefficients of the terms which is

20/64 = .3125 which is 31.25%

The probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event.

Here,

Probability =(³₆×(50%)³×(1-50%)⁶⁻³

= 20×(1/2)³×(1/2)³

= 20× 1/64

= 20/64

= 5/16

= 0.3125

= 0.3125×100

= 31.25%

Therefore, the probability of exactly three successes in six trials of a binomial experiment in which the the probability of is 50% is 31.25%.

To learn more about the probability visit:

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Step-by-step explanation:

-5x+5y=15(multiply by 2)

3×-2y=-8(multiply by 5)

-10×+10y=30

15×-10y=-40

5x=-10

x=-2

Here,

-5x+5y=15.......(I)

and

3x-2y=8.....(II)

Now,

adding 3 in eqn (II)

so, 6x-5y=8

Now,

combining eqn (I) &(II)

-5x+5y=15

+6x-5y=8

[both 5y is cancelled ]

or, x=7

Now,

in eqn(i)

-5x+5y=15

or, -5*7+5y=15

or, -35+5y=15

or, -35-15=-5y

or, -50=-5y

or, -50/-5=y

[minus is cancelled ]

Therefore, y=10 and x=7

Answer:

option d is correct answer

Answer:

[tex]x\approx 49.6^{\circ}[/tex]

Step-by-step explanation:

In any right triangle, the tangent of an angle is equal to its opposite side divided by its adjacent side.

For angle [tex]x[/tex]:

Therefore, we have:

[tex]\tan x^{\circ}=\frac{40}{34}[/tex]

Take the inverse tangent of both sides to solve for [tex]x[/tex]:

[tex]\tan^{-1}(\tan x)=\tan^{-1}(\frac{40}{34}),\\x=\tan^{-1}(\frac{40}{34}),\\x=49.63546343\approx \boxed{49.6^{\circ}}[/tex]

*Recall [tex]\tan^{-1}(\tan x)=x\text{ for } x\in (-90^{\circ}, 90^{\circ})[/tex]

Answer:

16x16x16x1.6

Step-by-step explanation:

here's your answer hope it helps you

Answer:

i.

Step-by-step explanation:

.

Answer:

[tex]\sqrt{-1}=i[/tex]

The square root of -1 (i)

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~HOPE IT HELP

~HAVE A GREAT DAY!!

Answer:

1. 4x + y= 3

Step-by-step explanation:

im sure that is the right answer

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Explanation:

1/2 is the probability of flipping tails because we have one side labeled tails out of 2 sides total.

1/6 is the probability of rolling a 5, because there's one side we want out of 6 total.

The two events (flipping the coin and rolling the die) are independent, allowing us to multiply those previously mentioned fractions:

(1/2)*(1/6) = (1*1)/(2*6) = 1/12