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1 year ago

How many times longer is 3 1/2 to 2 1/2

Mathematics

2 answers:

Kryger [21]1 year ago

6 0

1.4 times as long as 3 1/2

Alik [6]1 year ago

3 0

Answer:

1.4 times as long

Step-by-step explanation:

3 1/2 (convert to mixed number) --> 7/2

2 1/2 (convert to mixed number) --> 5/2

(7/2) / (5/2) --> 7/5 --> 1.4

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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

Nadya [2.5K]

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

4 0

2 years ago

What is the quotient of 1 and 2/3 divided by 4/5

shtirl [24]

Answer:

2 and 1/12

Step-by-step explanation:

1 and 2/3 = 5/3.

when dividing fractions, invert and multiply.

5/3x5/4=25/12

=2 and 1/12

3 0

2 years ago

Read 2 more answers

PLEASE HELP!! Identify the minium value of the function

timama [110]

Because this is a positive parabola, it opens upwards, like a cup, and the vertex dictates what the minimum value of the function is. In order to determine the vertex, I recommend completing the square. Do that by first setting the function equal to 0 and then moving the 9 to the other side by subtraction. So far: $x^2+6x=-9$ . Now, to complete the square, take half the linear term, square it, and add that number to both sides. Our linear term is 6. Half of 6 is 3 and 3 squared is 9. So add 9 to both sides. $x^2+6x+9=-9+9$ . The right side reduces to 0, and the left side simplifies to the perfect square binomial we created while completing this process. $(x+3)^2=0$ . Move the 0 back over and the vertex is clear now. It is (-3, 0). Therefore, 0 is the minimum point on your graph. The first choice above is the one you want.

3 0

3 years ago

T divided by 5/12 =-3/10<br><br><br> t=____

damaskus [11]

Answer:

Step-by-step explanation:

t ÷ 5/12 = -3/10

t * 12/5 = -5/10

$t=\frac{-3*5}{10*12}\\\\t=\frac{-1*1}{2*4}\\\\t=\frac{-1}{8}$