1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
sattari [20]
3 years ago
14

Where will her cut be located? Round to the nearest tenth. x = (StartFraction m Over m + n EndFraction) (x 2 minus x 1) + x 1 A

number line goes from 0 to 60. A line is drawn from 2 to 60. Genevieve is cutting a 60-inch piece of ribbon into a ratio of 2:3. Since 2 inches are frayed at one end of the ribbon, she will need to start 2 inches in. This is indicated as 2 on the number line
25.2 in.

29.4 in.

35.1 in.

40.7 in.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
5 0

Answer:

The correct answer is 25.2 in.

Step-by-step explanation:

It is given that number line goes from 0 to 60 which can be used to represent a ribbon of length = 60 inches.

2 inches of the ribbon are frayed so actual length = 58 inches

Please refer to the attached image for the ribbon.

A is at 0

C is at 60

B is at 2

P is the point to divide the remaining ribbon in the ratio 2:3.

Part AB of the ribbon is frayed.

BP: PC = 2:3

Let BP = 2x and PC = 3x

Now, BP + PC = BC = 58 = 2x + 3x = 5x

So,

5x =58\\\Rightarrow x =11.6

BP = 2\times x = 2 \times 11.6 = 23.2\ inches

Location of the Cut = 2 + 23.2 = <em>25.2 inches</em>

<em></em>

Alternatively, we can use the formula directly:

x = \dfrac{m} {m + n } (x_2 - x_1) + x_1

x_1 = 2\\x_2 = 60

m: n is the ratio 2:3

x = \dfrac{2} {2 +3 } (60- 2) + 2\\\Rightarrow 0.4 (58 )+2\\\Rightarrow 23.2+2 \\\Rightarrow \bold{25.2\ inches}

You might be interested in
HELP!!!!!! What is the equation of the axis of symmetry for the parabola ​
Dima020 [189]

Answer:

The line of symmetry is x = 3

Step-by-step explanation:

To find the line of symmetry in this case, use the base formula for vertex form.

y = a(x - h) + k

In this formula, h is the line of symmetry. In this case, h is 3.

3 0
2 years ago
Which of the following are ordered pairs for the equation y = 1/3x - 1?
stellarik [79]

Answer:

answer is the 2nd one

Step-by-step explanation:

y = 1/3(3) - 1 = 1 - 1 = 0   (3,0)

y = 1/3(0) - 1 = 0 - 1 = -1   (0, -1)

y= 1/3(6) - 1 = 2 - 1 = 1     (6, 1)

8 0
3 years ago
What is 1928912 times 192 divided by 182 times 9 plus 4 - 12378923789 times -52?
qaws [65]
(1928912×192) ÷ (182×9) + 4- (12378923789×-52)

= 6.437042e11
3 0
3 years ago
U know who this is meant for not u keep looking
RoseWind [281]

Answer:

lol okay

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
A lil help please T.I.A
ASHA 777 [7]

Answer:

A. x=32 and x=o

YOUR WELCOME

4 0
3 years ago
Other questions:
  • The table shows the number of pounds of green
    13·1 answer
  • Please please answer
    10·1 answer
  • Why was the baby any confused ?
    12·1 answer
  • Triana buys new furniture for $4200 and puts it on her credit card.She will pay 18% interest for 18 months and must make monthly
    7·1 answer
  • The science department buys the equipment shown in the table. they all bought three items this year. in how many years will they
    12·1 answer
  • A 10 gram ball is rolling at 3 m/s. The ball has __________ energy. Calculate it.
    14·2 answers
  • two submarines, one red and one blue, started rising toward the surface at the same time.they each rose at a constant speed. the
    15·1 answer
  • Give The measures of the angle that is complementary to the given angle
    8·1 answer
  • Please help, thank you!!
    14·2 answers
  • What’s the perimeter of each of the figures
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!