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statuscvo [17]
3 years ago
7

Marcs is growing three bean plants as part of a science experiment. Plant A 1/3 inch tall. Plant B is 3/4 inch tall. Plant C is

5/6 inch tall. Order the plants from shortest to tallest.
Mathematics
2 answers:
snow_tiger [21]3 years ago
8 0
Shortest to tallest: Plant A, Plant B, Plant C.

Given:
Plant A 1/3 inch tall
Plant B 3/4 inch tall
Plant C 5/6 inch tall

Order from shortest to tallest.

First we need to get the least common multiple of the three fractions.

Multiple of 3: 3, 6, 9, 12
Multiple of 4: 4, 8, 12, 16
Multiple of 6: 6, 12, 18

Their least common multiple is 12. We need to multiply each fraction by the number that will give the product of 12 to the denominator.

Plant A: 1/3 * 4/4 =   4/12
Plant B: 3/4 * 3/3 =   9/12
Plant C: 5/6 * 2/2 = 10/12

Since the denominator is common, we will use the numerator as basis in ordering the plants from shortest to tallest. 

4 is less than 9 and 9 is less than 10.

so, Plant A is the shortest, Plant B is the medium height, and Plant C is the tallest.
NemiM [27]3 years ago
4 0
1/3 , 3/4, 5/6

1÷3= <span>0.333333

3</span>÷4= 0.75

5÷6= 0.8333333333333333

Hope I This Helps :D
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Briony invests some money. Interest is paid on the money at a rate of 2% per annum for the first year and 1% per annum for the s
nalin [4]

Answer:

Brionny invested £8400.

Step-by-step explanation:

Simple Interest

This is a simple interest problem.

The simple interest formula is given by:

E = P*I*t

In which E is the amount of interest earned, P is the principal(the initial amount of money), I is the interest rate(yearly, as a decimal) and t is the time.

After t years, the total amount of money is:

T = E + P

In this question:

We divide in two intervals, the first year and the second year. We have to know that the amount after the end of the first year is the principal at the start of the second year.

First year:

Amount of 2% interest, during 1 year.

So the interest earned is:

E = P*I*t = P*0.02*1 = 0.02P

The total amount at the end of the first year is:

T = E + P = 0.02P + P = 1.02P

Second year:

We have that:

P = 1.02P

The interest earned is of:

E = P*I*t = 1.02P*0.01*1 = 0.0102P

The total amount is:

T = E + P = 0.0102P + 1.02P = 1.0302P

After two years, the investment is worth £8653.68 How much did Briony invest?

So

1.0302P = 8653.68

P = \frac{8653.68}{1.0302}

P = 8400

Brionny invested £8400.

3 0
3 years ago
What are the solutions to the quadratic equation (5y + 6)2 = 24?
lana [24]
To solve for y, apply the distributive property:
10y + 12 = 24
Then, subtract 12 from both sides and you will get:
10y = 12 \\
Then solve for y, by dividing both sides by 10.

Your final answer will be y=1.2
6 0
3 years ago
Read 2 more answers
Solve using the quadratic formula: 2x2-9x+12=0
marta [7]

Answer:

no solution

Step-by-step explanation:

For getting the nature of solution of the quadratic equation of the form:

ax² + bx + c = 0

We need to find Discriminant which is:

Discriminant (D) = b² - 4ac

  • If D < 0, there is no solution of equation.
  • If D = 0, there are two equal and real solution of equation
  • If D < 0, there are two real and distinct solution of equation

Here we have equation is:

2x² - 9x + 12 = 0

∴ a=2, b = -9, c = 12

⇒ D = 81 - 4 × 2 × 12 = -16 < 0

Hence, there is no solution of given equation.

5 0
3 years ago
Which point lies on the y-axis?
NeTakaya

Answer:

Step-by-step explanation:

3 0
3 years ago
What is standard form
nataly862011 [7]
Example 250

word form:
two hundred and fifty

expanded form:
2+5+0

standard form:
250

7 0
3 years ago
Read 2 more answers
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