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
AnnyKZ [126]
2 years ago
6

Jill planted two flowers in her garden. The first flower is 2 inches tall, and it is growing 2.25 inches each week. The second p

lant is 5.75 inches tall, and it is growing 1.5 inches each week. How many weeks will it be until the two plants are the same height?
Mathematics
1 answer:
Nadya [2.5K]2 years ago
4 0

Answer:it will take the two plants 6 weeks before the heights are the same

Step-by-step explanation:

Jill planted two flowers in her garden.

The first flower is 2 inches tall, and it is growing 2.25 inches each week. Since the growth rate is in an arithmetic progression, we will apply the formula for finding the nth term of the series

Tn = a + (n - 1)d

Tn = the nth height of the first flower

a = the initial height of the first flower

d = the common difference in height of the first flower weekly

n = number of weeks

From the information given,

For the first flower,

a = 2

d = 2.25

Tn ?

n ?

Tn = 2 + (n - 1)2.25

For the second flower,

a = 5.75

d = 1.5

Tn ?

n ?

Tn = 5.75 + (n - 1)1.5

To determine the number of weeks that it will take until the two plants are the same height, we would equate Tn for both flowers. It becomes

2 + (n - 1)2.25 = 5.75 + (n - 1)1.5

2 + 2.25n - 2.25 = 5.75 + 1.5n - 1.5

Collecting like terms

2.25n - 1.5n = 5.75 - 1.5 - 2 + 2.25

0.75n = 4.5

n = 4.5/0.75

n = 6 weeks

You might be interested in
A company has a policy of retiring company cars; this policy looks at number of miles driven, purpose of trips, style of car and
IRINA_888 [86]

Answer:

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

<u>Step-by-step explanation</u>:

<u><em>Explanation</em></u>:-

Given mean of the Population 'μ ' = 51 months

Standard deviation of the Population 'σ' = 11 months

Let 'X' be the random variable of Normal distribution

<em>Let    'X'  = 73</em>

<em></em>Z = \frac{x-mean}{S.D} = \frac{73-51}{11} = 2<em></em>

<em>Let  'X' = 84</em>

<em></em>Z = \frac{84-51}{11} = 3<em></em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 )      = P( 2 < Z < 3)</em>

<em>                               = P( Z<3) - P( Z <2)</em>

<em>                              =  0.5 + A(3) - ( 0.5 + A(2))</em>

<em>                             = A(3) - A( 2)</em>

<em>                             = 0.49865 - 0.4772     ( From Normal table)</em>

<em>                             = 0.02145</em>

<em>  P( 73 < x < 84 ) = 0.02145</em>

<em>The approximate percentage of cars that remain in service between 73 and 84 months</em>

<em>P( 73 < x < 84 ) = 0.02145 = 2.1 %</em>

7 0
3 years ago
A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent o
Gnom [1K]

Answer:

They donated 6%.

Step-by-step explanation:

The total sales were $9800.

The amount donated is $588.

We want to know what percent of 9800 is 588.

Let's make an equation.

what percent of 9800 is 588

x/100 • 9800 = 588

Divide by 9800.

x/100 = 0.06

Multiply by 100.

x = 6

They donated 6%.

Hope this helps!

3 0
3 years ago
Dude this should be so easy but this is going in one ear and out the other how do I do this send help ​
kipiarov [429]

Answer:

0.5 hours

Explanation:

Given:

  • speed: 17 miles/hour
  • distance: 8 miles

Formula:

  • time taken = distance ÷ speed

Solve:

  • time taken = 8 ÷ 17 = 0.4706 ≈ 0.5 hours  (rounded to nearest tenth)
6 0
2 years ago
Gina has 5 2/6 feet of silver ribbon and 2 4/6 of gold ribbon
topjm [15]

Answer:

5 2/6 + 2 4/6 = 8

Step-by-step explanation:

So Gina has 8 feet of ribbon in total.

I hope this is what you were asking for!! :)

Have a good day!

Brainliest PLEASE!!?!?!?!??!?!!?!!?!?!?

8 0
3 years ago
Find the value of x. Round to the nearest tenth.
serg [7]

Answer:

Where is the equation?

Step-by-step explanation:

8 0
3 years ago
Other questions:
  • Sierra collected 39 seashells before breakfast and 2 1/3 times as many after breakfast. How many seashells did sierra collect in
    8·1 answer
  • The lengths of the base and legs of an isosceles triangle are in the ratio of 3;2 the perimeter of triangles is 105 find the len
    14·1 answer
  • The volume of a cone is 20π cubic meters. What is the volume of a cylinder with the same base and height?
    13·1 answer
  • 8th grade math need help ASAP giving brainleast
    8·1 answer
  • Six million three thousand twenty-one
    10·2 answers
  • to rent a moving truck for the day it costs $33 plus 1 for each Mayan Drive driven write an expression for the cost to rent the
    5·1 answer
  • Which equation is not equivalent to the formula d = rt? r equals t over d r equals d over t t equals d over r d = tr
    9·1 answer
  • Graph the following equation <br><br> Please
    5·1 answer
  • Thomas had three different types of coins in his pocket, and their total value was $2.72. He had twice as many pennies as quarte
    14·1 answer
  • Which angles are corresponding angles?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!