AD is the perpendicular bisector of BC.
BD = 5x – 10 and DC = 3x + 10.
Determine the value of x.

Answer:

150

Step-by-step explanation:

20 percent of 150 is 30.

To check the answer... 150 times 0.2 is 30.

Answer:

150

20 percent of what number equals 30; Answer: 150.

Step-by-step explanation:

20% of what is 30?

Written using the formula: X = 30 ÷ 20%

Convert the percent to a decimal.

20% ÷ 100 = 0.2.

X = 30 ÷ 0.2.

X = 150.

So 20% of 150 is 30.

Answer:

Person 3 earns the most money every year

Step-by-step explanation:

Answer:

Person 3 makes the most money every year.

Step-by-step explanation:

Just analyze the graph. Options A and C can be easily eliminated. We're left with options B and D. We know it's going to be option D because person 3 can't make twice as much money as person 1, since person 1 made $9.00 and person 3 made $15.00.

Answer:

(a)

[tex]\%Decrease= 12.5\%[/tex] --- TV

[tex]\%Decrease= 20\%[/tex] --- Laptop

(b) Laptop

Step-by-step explanation:

Given

Normal                       Sales

[tex]TV = 2000[/tex]                  [tex]TV = 1750[/tex]

[tex]Laptop = 1800[/tex]             [tex]Laptop = 1440[/tex]

Solving (a): Percentage increase of decrease for both

Percentage change is calculated as:

[tex]\%Change = \frac{New - Old}{Old} * 100\%[/tex]

For TV

[tex]\%Change = \frac{1750 - 2000}{2000} * 100\%[/tex]

[tex]\%Change = \frac{-250}{2000} * 100\%[/tex]

[tex]\%Change = -0.125* 100\%[/tex]

[tex]\%Change = -12.5\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 12.5\%[/tex]

For Laptop

[tex]\%Change = \frac{1440 - 1800}{1800} * 100\%[/tex]

[tex]\%Change = \frac{-360}{1800} * 100\%[/tex]

[tex]\%Change = -0.2* 100\%[/tex]

[tex]\%Change = -20\%[/tex]

It is a decrease because it is negative

[tex]\%Decrease= 20\%[/tex]

Solving (b):

Laptop has the best reduced price  because it has a larger percentage decrease

Answer:

y = 4/5x+3.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=mx+b

m=(y2-y1)/(x2-x1), we have points (-3,-6) and (2,-2) so

m=(-2-(-6))/(2-(-3))

m=4/5 or 0.8 so our line is now

y=0.8x+b, using point (2,-2) we can solve for b

-2=0.8(2)+b

-2=1.6+b

b=-3.6 so the line is

y=0.8x-3.6 which can also be expressed as

y=4x/5-18/5

Answer:

Step-by-step explanation:

The sum of 8 and t ⇒ 8 + t

Answer:

A

Step-by-step explanation:

Answer:

Uhh, I guess 24? I don't understand this question

Question: Which of the following are perfect powers?

Answer:

The answers on Edge are 27, 81, and 100. These are perfect powers.

Answer:

Shade 6

Step-by-step explanation:

There are 20 squares in the grid. Multiply 0.30 (percentages are written as decimals) by 20. There's your answer.

Answer:

area of a trapezium

1/2 ( a+b)h

1/2 (15+9)15

1/2 *24*15

12*15

=180

Answer:

180 cm

Step-by-step explanation:

this is because if you find the correct area of the purple rectangular shape first, you would have the equation 15 x 9. this equation will give us an answer of 135 mm. our next step would be to find the area of the triangle.

our equation for this will be 15 x 6. this will give us our answers of 90. but because it is a triangle, we will have to divide by two. given is 45. our new equation will now be 135 + 45 given us our sum of 180 cm for the assumed area.

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

Answer:

The answer is 8.

Step-by-step explanation:

He is guaranteed to make $240 between 2 and 6 pm every Saturday afternoon. For each time that both of the 2 customers booked for the same hour does not cancel, he earns only $20. Considering that the probability of cancellation is 25%, if he books 8 customers for the 4 hour period on Saturday afternoon, he is making an extra $80 which bumps up his total earnings to $320. If he accepts any booking after 8, each is going to cost him $40. So the total number of reservations he should take is 8.

I hope this answer helps.

Answer:

D

Step-by-step explanation:

Which expression has a lesser value than -10?

a. 8+ (-12)= -4

b. – 14 – 2 + 8= -16+8= -8

c. 4-(-12)= 16

d. - 2 +(- 12) + 2 = -12

Answer:

Step-by-step explanation:

a.

8 +(-12) = 8-12 = -4

-4 > -10

b.

14-2+8 = 12+8 = 20

20 > -10

c.

4-(-12) = 4+12 = 16

16 > -10

d.

-2+(-12)+2 = -2-12+2 = -14+2 = -12

-12 < -10

Answer:

n= 30

Step-by-step explanation:

240 divided by 8 is 30

Answer:

n equals 30

Step-by-step explanation:

Step-by-step explanation:

4 x 3 + 6

12 + 6

= 18

or

4 x (3+6)

4 x 9

= 36

depends whether the 3+6 is in brackets :)

Answer:

if x = 4

then,

4 (3 + 6)

12 + 24

= 36

Depends whether they are in brackets but usually i would consider it in this problem.

Without the brackets would be:

4 x 3 + 6

12 + 6 = 18

Answer:  1) 70°  2) x = 55

Step-by-step explanation:

1) If m∠1 = 70°,then m∠8 = 70°.

Because m∠8 is the vertical angle of m∠5, and m∠5 is the corresponding angle of m∠1, which means that m∠8 = m∠1 = 70°. And also m∠1 and m∠8 are alternate exterior angles, they equal to each other.

2) m∠4 = 70°, and m∠7 = 2x, then m∠4 + m∠7 = 180°,because they are consecutive interior angles.

m∠4 + m∠7 = 180°

70 + 2x = 180

2x = 110

x = 55

Answer:

vertex: (-1,25)

aos; -1

left x int: -6

right x int: 4

(not sure)

range is less than of equal to 25

Answer:

0.001, 0.001%, 1/100, 1.1, 10, 1/10, 100%, 10,000/100

Step-by-step explanation:

I believe this is correct! :)

Answer:

4

Step-by-step explanation:

x^3= 64

x= 64^1/3

x=4

Answer:

4

Step-by-step explanation:

4x4=16

16x4= 64

Answer:

Step-by-step explanation:

[tex]\text{The area of a circle is}\\ \\ A=\frac{\pi d^2}{4}\\ \\ d=20ft\\ \\ A=\frac{\pi (20^2)}{4}\\ \\ A=\frac{400\pi}{4}\\ \\ A=100\pi ft^2[/tex]

6(a+12)

6a+72

---

hope it helps

Step-by-step explanation:

For all the recent strides we’ve made in the math world, like how a supercomputer finally solved the Sum of Three Cubes problem that puzzled mathematicians for 65 years, we’re forever crunching calculations in pursuit of deeper numerical knowledge. Some math problems have been challenging us for centuries, and while brain-busters like the ones that follow may seem impossible, someone is bound to solve ‘em eventually. Maybe.

For now, take a crack at the toughest math problems known to man, woman, and machine.

1. The Collatz Conjecture



DAVE LINKLETTER

Earlier this month, news broke of progress on this 82-year-old question, thanks to prolific mathematician Terence Tao. And while the story of Tao’s breakthrough is good news, the problem isn’t fully solved.

A refresher on the Collatz Conjecture: It’s all about that function f(n), shown above, which takes even numbers and cuts them in half, while odd numbers get tripled and then added to 1. Take any natural number, apply f, then apply f again and again. You eventually land on 1, for every number we’ve ever checked. The Conjecture is that this is true for all natural numbers.

Tao’s recent work is a near-solution to the Collatz Conjecture in some subtle ways. But his methods most likely can’t be adapted to yield a complete solution to the problem, as he subsequently explained. So we might be working on it for decades longer.

The Conjecture is in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but that’s what makes it special. Why is such a basic question so hard to answer? It serves as a benchmark for our understanding; once we solve it, then we can proceed to much more complicated matters.

The study of dynamical systems could become more robust than anyone today could imagine. But we’ll need to solve the Collatz Conjecture for the subject to flourish.

Answer:

Sorry brillant26 or whatever gave you a invalid answer. its actually A (25 employees on the company email list) and D (25 employees at a company wide assembly)

Hope this helps!!

Have a nice day!!

Step-by-step explanation:

Answer:

Either 8% or 12%.

Step-by-step explanation:

Answer:

f(2) =2

Step-by-step explanation:

f(x) = 1/2 x + 1

Let x= 2

f(2) = 1/2 *2 +1

      =1 +1

    =2

Answer:

5 pounds of food each day

Step-by-step explanation:

So you do 50 divided by 10 and you get 5 pounds that your dog eats each day.

p.s. If I am wrong I am so sorry just trying to help people out.

Answer:

second part is a,c,d  

Answer: they are correct

Step-by-step explanation:

correct

Step-by-step explanation:

3x=6 would be your answer

Answer:

a

Step-by-step explanation:

Answer:

1.100+1.700+1=100+5.300+2..500