In the figure, BP is an angle bisector of ∠CBD.

What is the difference written in scientific notation? 0.00067 - 2.3 x 10^5

shepuryov [24]

0.00067=67X10^5 so

67X10^5-2.3X10^5

64.7X10^5 which can be expressed as:

6.47X10^6

(not sure if it matters to you or not, but technically we only had two significant figures so it should be rounded to 6.5X10^6)

5 0

4 years ago

sarah can complete a project in 90 minutes and her sister betty can complete it in 120 minutes if they both work on the project

alukav5142 [94]

Answer:

It will take them approximately 51.43 minutes to complete the project together

Step-by-step explanation:

This is what is called a "shared job" problem.

The best way to work on them is to start by finding the "portion" of the job done by each of the people in the unit of time.

So, for example, Sarah completes the project in 90 minutes, so in the unit of time (that is 1 minute) she completed 1/90 of the total project

Betty completes the project in 120 minutes, so in the unit of time (1 minute) she completes 1/120 of the total project.

We don't know how long it would take for them to complete the project when working together, so we call that time "x" (our unknown).

Now, when they work together completing the entire job in x minutes, in the unit of time they would have done 1/x of the total project.

In the unite of time, the fraction of the job done together (1/x) should equal the fraction of the job done by Sarah (1/90) plus the fraction of the job done by Betty. This in mathematical form becomes:

$\frac{1}{x} =\frac{1}{90} +\frac{1}{120}\\\frac{1}{x} =\frac{4}{360} +\frac{3}{360}\\\frac{1}{x} =\frac{7}{360} \\x=\frac{360}{7} \\x=51.43\,\,min$

So it will take them approximately 51.43 minutes to complete the project together.

8 0

4 years ago

Please!!!!! help me fill the blanks. I really need it!!! It due tomorrow!!!!

olga nikolaevna [1]

Answer:

The first blank which is in the first row would be 9

The second blank under the 5 is 100

The third blank below the 8 is 160

And the last blank is 240

Step-by-step explanation:

It you do 60 divided by 3, it would be 20, meaning each sweater costs $20.

7 0

3 years ago

Read 2 more answers

Need help please answer ASAP!

Dmitrij [34]

Answer:

46. (3) 29

47. (1) y = -4x + 3

48. (3) 3

49. (3) -1/2

50. (4) 25x - 75

Step-by-step explanation:

Question 46

Let red marbles be 2x + 3 and black marbles be x
2x + 3 + x = 42
3x = 39
x = 13
No. of red = 2(13) + 3 = 29 marbles
(3) 29

Question 47

Parallel to a line means the slope is the same
(1) y = -4x + 3

Question 48

For the expression to be undefined, the denominator has to be 0
x - 3 = 0
x = 3
(3) 3

Question 49

Slope = -4 - 1 / 4 + 6
Slope = -5/10
Slope = -1/2
(3) -1/2

Question 50

Total = 25x
Left 3 boxes at home = -3x = -3(25) = -75
(4) 25x - 75

6 0

2 years ago

Y=x to the second power -1 is it liner or non liner

AVprozaik [17]

Non linear

If you are multiplying it is non linear

7 0

3 years ago