Write an explicit formula for an, the nth term of the sequence 75, 15, 3, ....

Answer: ↓↓

Step-by-step explanation:

∠ABF and m∠60° are complementary since they form a right angle.

∠ABF + 60 = 90

∠ABF = 30°

∠ABF and ∠CBD are vertical angles so they're congruent.

∠CBD ≅ ∠ABF

∠CBD ≅ 30

∠CBD = 30°

∠ABC and ∠CBD are linear pair so they're supplementary.

∠ABC + ∠CBD = 180°

∠ABC + 30 = 180

∠ABC = 150

Hope I helped!

Answer:

Step-by-step explanation:

Let the present age of Alicia be x

Let the present age of her brother be y

Three years ago;

Alicia age = x - 3

Her brother's age = y - 3

If three years ago Alicia was twice as old as her brother Carlos, then;

X - 3 = 2(Y-3)

x-3 = 2y - 6

x = 2y - 3 ...1

In two years time;

Alicias age = x+2

Her brother's age = y +2

If in two more years Alicia will be just 50% older than Carlos, then;

x+2 = y + 2 + (0.5(y+2))

x+2 = y+2 + 0.5y + 1

x+2 = 1.5y+3

x = 1.5y + 1 ...2

Equating 1 and 2;

2y - 3 = 1.5y + 1

2y - 1.5y = 1+3

0.5y = 4

y = 4/0.5

y = 8

Since x = 2y-3

x = 2(8) - 3

x = 16-3

x = 13

Hence Alicia will be 13 years old today

Answer:

if you click on the image it will show the answer. hope this helps you.

Answer:

Start at 7:30pm

add 46 minutes = 8:16 Pm

add 20 minutes = 7:50 Pm

add 53 minutes = 8:23 Pm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Part C- y=20x+600

Part D- To part D find the equations for all the cities.

Everett- y=15x+550

Chelsea- y=20x+600

Revere- y=50x+300

Since 2030 is 14 years away from 2016 x will equal 14.

Plug in 14 to each of the equations. Whichever has the highest result will be the answer.

Everett- y=15(14)+550 -----> y=760

Chelsea- y=20(14)+600 -----> y=880

Revere- y=50(14)+300 -----> y=1000

Revere will have the most chromebooks.

Answer:

y = - 3, x = 8

Step-by-step explanation:

x - y = 11, x = 11 + y

Lets solve this equation with substitution: 3x + 10y = - 6

3(11+y)+10y=-6

33+3y+10y=-6

13y=-39

y = - 3

x - (-3) = 11

x + 3 = 11

x = 8

Answer:

use the first equation and solve for the variables

Step-by-step explanation:

for example, to solve for x add y on both sides x=11+y and substitute that to the equation

3(11+y)+10y=-6

that should give you -3

then go back to the equation x=11+y

x=11+(-3)

x=8

hope this helps!

Answer:

10% increase

Step-by-step explanation:

To find the percent change, divide the difference between the 2 prices by the original price:

2/20

= 0.1

So, the percent change was 10%

Answer:

640 pennies

Step-by-step explanation:

3/4= 6/8 so...

6-3=3

240/3= 80

80x8=640

Answer:

-1

Step-by-step explanation

Raising -1 to an odd power gives us -1, while raising -1 to an even power gives us (positive) 1. Because 2009 is odd, the answer is -1. The other answer choices are there to confuse you.

Answer:

f(-5) = -16

Step-by-step explanation:

f(x)=2x-6

f(-5) = (2 * -5) -6 = -10 - 6 = -16  ... replace x with -5

Answer:

The second one

Step-by-step explanation:

Answer: 20%

Explanation:

1. Turn it into a fraction (224/280)

2. Divide the numerator (224) by the denominator (280). (224÷280=0.8)

3. Subtract 1 by 0.8 (or 100% by 80%) that should give you the answer 0.2 (20%)

Checking work:

280x0.2=56

280-56=224

Answer:b

Step-by-step explanation:

Answer:

neither

Step-by-step explanation:

Answer:

its b)

Step-by-step explanation:

explained in the comments of second answer⬇️

Answer:

6

Step-by-step explanation:

add 2 each time

Answer:

x = 32

Step-by-step explanation:

x/4 + 2 = 10

subtract 2 on both sides

x/4 + 2 - 2 = 10 - 2

x/4 = 8

Multiply 4 on both sides

x/4 * 4 = 8 * 4

x = 32

__________________________________________________________

Check:

32/4 + 2 = 10

8 + 2 = 10

10 = 10 CORRECT

Hope this helped!

9514 1404 393

Answer:

  x = 35

Step-by-step explanation:

It appears the only missing piece of the explanation is ...

  x² = 1225  ⇒  x = 35

Answer:

t = 31s

Step-by-step explanation:

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

Answer:

k = 16/33

Step-by-step explanation:

Determine k so that 2/3,k and 5/8k are the three consecutive terms of an a.p

k - 2/3 = 5/8k - k

3k-2/3 = 5k-8k/8

Cross product

(3k-2)(8) = (3)(5k-8k)

24k - 16 = 15k - 24k

24k - 16 = -9k

24k + 9k = 16

33k = 16

k = 16/33

Answer:

Zero

Step-by-step explanation:

So we start out on a positive 7. We then add a negative (You just subtract) 7. Modified equation: 7-7

7 minus 7 equals 0 or {7 - 7 = 0}

Hope this helps!!

Answer:

0

Step-by-step explanation:

Answer:

Time taken to cover 10 miles = 80 minutes

Step-by-step explanation:

Given:

Ratio [Number of minutes : Number of miles runs] = 24:3

Find:

Time taken to cover 10 miles

Computation:

Number of minutes/Number of miles runs = Time taken to cover 10 miles / 10

24/3 = Time taken to cover 10 miles / 10

Time taken to cover 10 miles = 80 minutes

Answer: Choice A.  [tex](-\infty, \infty)[/tex]

This is the same as saying the set of all real numbers.

There are no restrictions to put on the domain, so there are no values to avoid. This is because there are gaps, jumps, or holes in the graph. It's one continuous single curve.

This curve stretches forever to the left and right. As it goes left, it moves up (rises to the left). As it moves right, it goes downhill (it falls to the right). Saying "rises to the left and falls to the right" is an informal way to describe the end behavior. The actual specific end behavior doesn't matter. What matters is both left and right sides go on forever.

A domain of the set of all real numbers means we can plug in any real number for x, and get some output for y, which is part of the range.

One way we can describe the set of all real numbers in terms of an inequality is to write [tex]-\infty < x < \infty[/tex] meaning that x is between negative and positive infinity, ie x is anything you want. The inequality [tex]-\infty < x < \infty[/tex] converts to the interval notation [tex](-\infty, \infty)[/tex]. Interval notation is a compact way of writing compound inequalities.

Answer:

X-Intercept: [tex]x=-\frac{5}{2}y[/tex]

Y-Intercept: [tex]y=-\frac{2}{5}x[/tex]

Step-by-step explanation:

X-Intercept-

2x+5y=0     - Move the variable to the right-hand side and change its sign

2x=-5y     - Divide both side of the equation by 2

x=-5/27     - Write the solution x in parametric form

x=-5/2y, y∈R

Y-Intercept-

2x+5y=0    - Move the variable to the right hand side and change its sign

5y=-2x     Divide both sides of the equation by 5

y=-2/5x     Write the solution y in parametric form

y=-2/5x, x∈R

Answer:

1 to 2

1:2

1/2

Step-by-step explanation:

Answer:

Ze anser is 1:3 (づ｡◕‿‿◕｡)づ

Step-by-step explanation: