An arithmetic series contains 14 numbers. The first number is 12. The last number is 38. What is the sum of the series?
312
350
494
700

Answer:

x=10, CB=24

Step-by-step explanation:

To find x, we know that CD=AB. So first we set up an equation.

5x-18=2x+12

then we solve.

5x-18=2x+12

5x=2x+30

3x=30

x=10

To find CB, plugin x.

3(10)-6

30-6

24

CB=24

Answer:

Diego has 7

Step-by-step explanation:

So if Susan has 21 and she has 3 times as much money as Diego the equation is 21 divided by 3. 21 divided by 3 is 3 groups of 7 so the answer is 7

Answer:

Ok if Susan has $21 and She has 3 times as much money as Diego.

That means the equation is 21 divide by 3.

So that means Diego has $7.

Step-by-step explanation:

Answer:

182ft^2

pls give brainlyist

Step-by-step explanation:

area of a parallelogram is base  * hight

13ft* 14ft

182ft^2

Answer:

170 in²

Step-by-step explanation:

Surface Area

⇒ (2 x Length x Height) + (2 x Width x Height) + (2 x Length x Width)

⇒ (2 x 6 x 5) + (2 x 5 x 5) + (2 x 6 x 5)

⇒ 60 + 50 + 60

⇒ 170 in²

TSA:-

Answer:

The area is 4.

Step-by-step explanation:

hope this helps.

Answer:

5/28

Step-by-step explanation:

1/1 represents the whole amount of tickets.

4/7 are sold on Thursday.

an additional 1/4 are did on Friday.

fraction of available tickets on Saturday are therefore

1/1 - 4/7 - 1/4 = 4/1 - 16/7 - 1/1 = 28/1 - 16/1 - 7/1 = 5/1

that means out of 28 equal parts of the total number of tickets 16+7 = 23 parts have been sold.

so, there are only 5 out of the total 28 parts available on Saturday, and the fraction of available tickets is therefore 5/28.

we could have also tried to bring both fractions to the same denominator, and found that this is 28.

and then

4/7 + 1/4 = 4/4 × 4/7 + 7/7 × 1/4 =

= 16/28 + 7/28 = 23/28

and the whole is 28/28.

so we have 28/27 - 23/28 = 5/28 left.

surprise, surprise, it is the same result ...

Step-by-step explanation:

sin(0) is opposite over hypotenuse which in this case is 12/15

tan (0) is opposite over adjacent 12/9

you can simplify if you like to 4/5 and 4/3 if you want to.

sinØ

tanØ

Answer:

A

Step-by-step explanation:

multiply the 6 with the numbers in the bracket

6x -12 + 21 < 39

addition(-12+21 =9)

6x + 9 < 39

grouping

6x < 39-9

6x < 30

divide both sides by the coefficient of x

6x/6 < 30/6

x < 5

Answer: The width of the rectangle is 5 cm and the length is 13 cm

Step-by-step explanation:

Let the width be x cm

Let the length be (x+8) cm

Area = 65cm²

[tex]\Rightarrow x(x+8)=65 \ [\because$ Area of rectangle $=$ length $\times$ width $]$ \\$\Rightarrow x^{2}+8 x-65=0 \Rightarrow x^{2}+13 x-5 x-65=0$ \\$\Rightarrow x(x+13)-5(x+13)=0 \Rightarrow(x+13)(x-5)=0$ \\$\Rightarrow x=-13$ or $x=5$ \\But width car't be negative. so $x=5$ \\[/tex]

Therefore:

Width = 5 cm

Length = 5 + 8 = 13 cm

Answer:

2.28 * 10^8 km.

Step-by-step explanation:

228,000,000

= 2.28 * 10^8 km.

Answer:

26

Step-by-step explanation:

simply count the number of times the team scored more than 50 points by looking at the graph.

the team scored 51-60 points 11 times, 61-70 points 12 times and 71-80 points 3 times.

so the team scored more than 5 points a total of 11 + 12 + 3 = 26 times

Answer:

26

Step-by-step explanation:

Game scores above 50 points can be represented by the last three boxes to the left. To find the total number of times this happened, add up the values measured by the y-axis:

51-60 = 11 games

61-70 = 12 games

71-80 = 3 games

11 + 12 + 3 = 26

I hope this helps!

Answer:

slope =  -11 or m = -11

Step-by-step explanation:

11x + y = -30

y = -11x - 30

I hope this helps!

Answer:

[tex]\red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Step-by-step explanation:

[tex] \huge \: \frac{ {c}^{ - 6} {d}^{4}}{ {c}^{ - 16} {d}^{14} } \\ \\ = \huge \: \frac{ {c}^{16 - 6}}{{d}^{14 - 4} } \\ \\ = \huge \: \red{\frac{ {c}^{10}}{{d}^{10} } }[/tex]

Answer:

12 girls

Step-by-step explanation:

Boys to girls ratio= 1:2

Thats means there are (1+2) 3 total parts.

So [tex]\frac{36}{3}[/tex]=12

Each part is 12 so

boys is 12*2= 24 boys

Girls id 12*1= 12 girls

Answer:

12

Step-by-step explanation:

Total number of students in class ⇒ 36

Given that,

The number of boys is twice the number of girls.

First, let us make an expression to find the number of girls.

For that, let the number of girls be x.

Number of girls ⇒ x

Number of boys ⇒ 2x

Total number of pupils ⇒ x + 2x

So,

x + 2x  = 36

3x = 36

Divide both sides by 3.

x = 12

Therefore, there are 12 girls and 24 boys in the class.

The 3/8 chance is the probability of winning a scholarship.

The odds of winning a scholarship is 3/5

The probability is given as:

P(Win) = 3/8

The odds is calculated using:

Odds = P(Win)/[1 - P(Win)]

This gives

Odds = 3/8/[1 - 3/8]

Evaluate the difference

Odds = (3/8)/(5/8)

Evaluate the quotient

Odds = 3/5

Hence, the odds of winning a scholarship is 3/5

Read more about probability at:

https://brainly.com/question/251701

Answer:

y = -3/2x + 3

Step-by-step explanation:

slope-intercept form: y - y₁ = m (x - x₁)

y - 9 = -3/2 ( x + 4)

y = -3/2 x - 6 + 9

y = -3/2x + 3

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

s = 66

Step-by-step explanation:

S = number of shakes

N = number of people

(N-1) = takes yourself out of the equation

÷ 2 = shaking hands with everyother person

so when 12 people present:

s = 12(12-1) /2

s = 12(11) /2

s = 132 /2

s = 66

Answer:

This is called an exponential function, values are inserted to variables where applicable, aka, n = total number of people at the party, if there are only 12 people, (b:) insert into function where 'n' appears: (12(12-1)/2 = 66. This means 66 handshakes will occur if there are 12 people present.

Step-by-step explanation:

calculate the missing angle 'a'

9:57

Answer

Hence in 77 days 107. will decay Remain = 90%

Explanation

Given: half life = 385 half-life

To find: what fraction remains after 22 days

Solution.

Let total amount = 100%.

time taken for decaying Si%. = 385

In time of 72 days = 305 77

= 5

→ Remarwiny = 50 = 10%.

Hence in 72 days 1-7. will decay Remain = 90%.

Answer:

The order goes:

B

A

D

C

Step-by-step explanation:

Based on the clues joe has the least so he would be B

Terrell has the most so his would be A

Jimmy has half so he would be D

and Justin is C last option

Answer:

Clue 1:  1,4 = B

Clue 2: 1,6 = A

Clue 3: 2,4 = C

Clue 4 : 4,5 = D

Answer:

i think that B..is a right answer

Answer:

An octagon is a polygon with eight sides.

Step-by-step explanation:

Octa or Octo means eight. Like an octopus. They call it an octopus because it has eight limbs.

A stop-sign is an examle of an octagon.

Hope that helps!

Answer:

  v = 13

Step-by-step explanation:

The diagonals of a parallelogram bisect each other, so AB ≅ AD. This relation gives rise to an equation we can solve for v.

  2v -3 = 6v -55

  52 = 4v . . . . . . . . . add 55-2v to both sides

  13 = v . . . . . . . divide by 4

The value of v is 13 in this parallelogram.

Answer:

The formula for calculating elapsed time is elapsed time = end time – start time. Subtract the minutes and hours separately. For example to calculate the elapsed time between 12:10 and 16:40, subtract 12:10 from 16:4. Looking at the hours, 16 – 12 = 4 and looking at the minutes, 40 – 10 = 30.

Answer:

in this problem. Not that the total number of ways of taking one or more alternative out of ...

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

Well, honestly not sure how to solve this but I'll try.

Each correct answer is giving 4 points but the probability to choose the correct one is 1/5

Each incorrect one gives -2 points and the chance to pick a wrong answer is 4/5.

Obviously, the chance to lose points is more. But is taking the risk and guessing worth it? Well, it depends on how many points the correct answer gives. If it makes up for the possible loss of points, then it is in his interest to guess, otherwise he will end up losing more than they win.

If we sum the two chances to find averagely how many points the student will get, then I guess that would be the correct answer:

4(1/5) + (-2)(4/5) = 4/5 - 8/5 = -4/5

He will get averagely -4/5 points, so I believe it isn't in his interest. It means that the points he gets don't make up for the possible loss of points if you choose answers randomly. (Wow, I'm glad teachers don't do this on tests 0_0)

This is my theory though, not sure how to go for solving this, just thinked logically. I hope this helps, but don't trust me and copy paste my answer on your test or whatever. Think if this is correct first because I'm not sure

Answer:

True

Step-by-step explanation:

limx→b [3f(x)-4g(x)]

limx→b [3f(x)-4g(x)]= limx→b [3f(x)] - limx→b [4g(x)]

= 3[limx→b f(x)] - 4[limx→b g(x)]

Since limx→b f(x) = 2 and limx→b g(x) = 10,

= 3(2)-4(10)

= -34

Answer:

14 apples are green with worms.

Step-by-step explanation:

100 apples right

65% are green

21% are green with worms

Imma pretend the first time you meant red ok....

sooo to solve this

.65*100=65 are red

.21*65=13.65 are green with worms

Answer:

  A.  student A is correct; student B was confused by the division

  B.  3: cos²(θ)/(sin(θ)csc(θ)); 4: cos²(θ)

Step-by-step explanation:

Each student correctly made use of the trig identities ...

  csc(θ) = 1/sin(θ)

  1 -sin²(θ) = cos²(θ)

__

Student A's work is correct.

Student B apparently got confused by the two denominators in Step 2, and incorrectly replaced them with their quotient instead of their product.

__

The transition from Step 2 can look like ...

  [tex]\textsf{Step 3: }\ \dfrac{\left(\dfrac{1-\sin^2\theta}{\sin\theta}\right)}{\csc\theta}=\dfrac{1-\sin^2\theta}{\sin\theta}\cdot\dfrac{1}{\csc\theta}=\dfrac{\cos^2\theta}{(\sin\theta)(\csc\theta)}\\\\\textsf{Step 4: }\ \cos^2\theta[/tex]

Answer:

Step-by-step explanation:

The given relations allow us to write three equations in the three unknown values. We can let x, y, z represent the three numbers, in order.

__

  x +y +z = 10 . . . . . . . the sum of the three numbers is 10

  2x +4y +5z = 33 . . . . . designated sum is 33

  6x -y = 28 . . . . . . . . 6 times the first is 28 more than the second

__

There are many ways to solve a system of equations like this. Perhaps one of the easiest is to enter the equations as an augmented matrix in your calculator, and let it do the work. (Some calculators will solve the equations directly.)

The three numbers are 5, 2, and 3.

_____

Additional comment

The third equation lets you write an expression for y in terms of x:

  y = 6x -28

Substituting this into the first two equations, we get ...

  x +(6x -28) +z = 10   ⇒   7x +z = 38

  2x +4(6x -28) +5z = 33   ⇒   26x +5z = 145

Subtracting the second from 5 times the first of these equations gives ...

  5(7x +z) -(26x +5z) = 5(38) -(145)

  9x = 45 . . . . . the y-variable is eliminated

  x = 5

Use equations from above to find z and y.

  z = 38 -7x = 3

  y = 6(5) -28 = 2

Answer:

my best estimate would be 15,116,600

Step-by-step explanation:

,