All categories

2 years ago

Please look at the attachment and answer my question :(

Mathematics

2 answers:

pshichka [43]2 years ago

8 0

Answer:

The number at B is 10.6

Step-by-step explanation:

Let the number at B be x.

We know that distance between two points on the number line is the absolute value of the difference of numbers at those points.

Then distances representing the lengths of segments AB and BC are:

AB = x - 9
BC = 13 - x

We are given the ratio of segments:

AB/BC = 2/3

Substitute and solve for x:

(x - 9)/(13 - x) = 2/3
3(x - 9) = 2(13 - x)
3x - 27 = 26 - 2x
3x + 2x = 26 + 27
5x = 53
x = 53/5
x = 10.6

dem82 [27]2 years ago

3 0

Answer:

AB / BC = 2 / 3

A equals 9 and C = 13

AC = 13 - 9 = 4

AB + BC = 13

A) AB + BC = 4

B) AB / BC = 2/3 Therefore BC = AB / (2/3)

B) BC = 1.5 AB

A) BC = 4 - A/B

Multiplying equation A) by -1

A) -BC = -4 + AB then we add equation B)

B) BC = 1.5 AB then adding both equations

0 = 2.5 AB -4

2.5 AB = 4

AB = 1.6

Since A = 9 then the number at B is 9 + 1.6

equals 10.6

Step-by-step explanation:

You might be interested in

Pleaseee help me this is gonna be due in a little and I need help bad it’s pretty algebra

Anarel [89]

Answer:

a.) .375 inches per day

b.) no

c.) 48 days

Step-by-step explanation:

If 8 days produces 3 inches of ice, I divided the 3 inches by the 8 days to see how much it grew per day. I got .375 inches per day.

Knowing how much it grew each day, I used .375 inches per day and multiplied it by 21 (3 weeks). So no, it only grew 7.875 inches over the 21 days.

You can double check it by dividing 10 inches / .375 inches per day and saw it would take over 26 days to reach 10 inches.

I took 1.5 feet and converted it to 18 inches. 18 inches divided by .375 inches per day equals 48 days.

I hope this helps you! :)

4 0

4 years ago

25 POINTS HELP PLEASE! Complete the table and pattern. Determine the common difference. Write the explicit rule.

Cerrena [4.2K]

Answer:

See the answers below

Step-by-step explanation:

Nine

The first step is to find the common difference. That's found by using

Common Difference

t4 - t3

t4 = - 15

t3 = - 19

t4 - t3 = -15 - - 19

t4 - t3 = -15 + 19

t4 - t3 = 4

t1 = - 27 which is the first term.

Explicit formula

tn = a + (n - 1)*d

tn = - 27 + (n - 1)*4

t5 = -27 + (5 - 1)*4

t5 = -27 + 4*4

t5 = - 11

Recursive

tn = tn - 1 + 4

Ten

Common difference

t4 - t3

21 - 15

Common difference = 6

t2 = 33 - 6

t2 = 27

Explicit formula

tn = a + (n - 1)*d

tn = 33 + (n - 1)*6

Recursive Formula

tn = tn-1 + 6

There are too many answers between the 2 questions that the exact format can be followed and have it make sense. You are better off following each question and writing down the answers as you come to them.

3 0

4 years ago

Isosceles triangle DEF has base angles D and F. If DE = (4x + 10) and EF = (8x – 2), what is the value of x, and what is the val

Vlada [557]

Answer:

X=3

DE=22

Step-by-step explanation:

5 0

3 years ago

Kenny and Michael have scored points during a basketball game. Kenny has scored 13 points, and Michael has scored p points. Toge

Vikentia [17]

Michael scores 14 points.

4 0

3 years ago

Read 2 more answers

Explain the difference between independent and dependent events AND how I can tell the difference in a word problem.

Talja [164]

Answer:

The difference between the two is that in a dependent event an action will affect the ultimate outcome, but in an independent event an action won't affect the ultimate outcome. A way to tell is if the total number of the "item" at hand will be affected by the action the question is saying. In the case of the example given, that is a dependent event because the total of marbles you started with is changed due to you not replacing the one you first took. Therefore the probability is now different.

Step-by-step explanation:

4 0

3 years ago