All categories

2 years ago

A sunflower grows 8 feet in 92 days. Assuming that it grows at a constant

Mathematics

1 answer:

Yuki888 [10]2 years ago

4 0

Answer:

69 days

Step-by-step explanation:

Given that sunflower grows at constant rate.

Let the rate of growth be x feet per day. It means sum flower grows x feet every day.

in 1 day plant grows x feet,

so in 92 days plant will grow 92*x feet

In 92 days the growth of plant will be = rate of growth *92 = 92*x = 92x feet

But given that A sunflower grows 8 feet in 92 days

so, 92x will be same as 8 feet.

lets put it in equation

92x =8 feet

x = 8/92 = 2/23

Thus, rate of growth of sunflower plant is 2/23 feet per days.

it means it grows 2/23 feet every day.

Let number of days taken to grow 6 feet be y days

in 1 day plant grows 2/23 feet feet,

so in y days plant will grow 2/23*y feet

In y days the growth of plant will be = rate of growth *y= (2/23)*y = 2y/23 feet

But 2y/23 should be equal to 6 feet

2y/23 = 6

Multiplying both side by 23

2y/23 * = 6 *23

=> 2y =138

dividing both side by 2

2y/2 =138/2

=> y = 69

Thus, it will take 69 days for sunflower to grow 6 feet.

You might be interested in

Gus has a fish tank that holds 471047104710 inches^3 3 cubed of water. He is using a cylinder shaped bucket with a radius of 555

ozzi

Answer:

Gus will need to fill up the cylindrical bucket three times to be able to use it to fill up the tank

Step-by-step explanation:

Extracting the key information from the question:-

*** A fish tank has a capacity or volume of 4710 inches^3

*** The owner of the tank uses a cylindrical shaped bucket to fill the tank

*** The radius of the bucket being used to fill the tank is 5 inches and its height is 20 inches

*** We are only required to calculate how many times Gus will need to fill the bucket in order to completely fill the fish tank.

Since the container that the owner of the fish tank is using to fill the fish tank is cylindrical, we will need the formula for calculating the volume of a cylinder in order to determine the volume of this bucket that is being used to fill the fish tank.

Volume of a cylinder = π × r^2 × h. From the question, we were informed that the radius of the cylindrical bucket is 5 inches and the height of this bucket is 20 inches.

The volume of the bucket is = 3.14 × 5^2 × 20 = 1570 inches^3

Again, we were told that the fish tank that Gus was using cylindrical bucket to fill up has a volume of 4710 inches^3. In order to determine the number of filled buckets that will be able to fill the fish tank, we will then divide the volume of the tank by the volume of the cylindrical bucket:

4710/1570 = 3 full buckets.

Therefore, Gus will need to fill the bucket three times in order to be able to fill up the fish tank.

7 0

2 years ago

Which answer choice contains all the factors of 10

RSB [31]

Factors of 10 are : 1,2,5,10

7 0

2 years ago

by visual inspection, determine the best-fitting regression model for the data plot below. A. No pattern B. Quadratic C.Linear D

liq [111]

Answer:

C) Linear

Step-by-step explanation:

We can see from the plot that the data approach a straight line.

This means we can draw a line of best fit through this data and it should hit several data points; thus the answer is linear.

4 0

2 years ago

Read 2 more answers

Nikita ran a 5-kilometer race in 39 minutes (0.65 of an hour) without training beforehand. In the first part of the race, her av

Sergeeva-Olga [200]

First part of the race

speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t

Second part of the race

speed2, s2 = 6 km/h
distance2 = x
time2 = t

s2 = x/t = 6 ⇒ t = x / 6

s1 = [5 - x] / [0.65 - t] = 8.75

5 - x = 8.75 [0.65 - t]

5 -x = 8.75(0.65) - 8.75t

5 - x = 5.6875 - 8.75 (x/6)

5 - x = 5.6875 - 1.4583x

1.4583 x - x = 5.6875 - 5

0.4583 x = 0.6875

x = 0.6875 / 0.4583 = 1.5

5 0

2 years ago

Read 2 more answers

Use the drop-down menus to complete the statements below to answer this question: Can you determine whether a system of linear e

Oksanka [162]

The coordinates of a point satisfies the equation of a line if the point lies on the line
If a single point satisfies the equations of two lines, the point is on both lines, so the lines will intersect at that point.
This means that each point where the two lines touch is a solution to the system of equations
This means that if you substitute the x and y values of the point for x and y in the equations, both equations will be true

<h2>Explanation:</h2>

You haven't given any option. However, I have tried to complete this question according to what we know about system of linear equations. Suppose you have the following system of two linear equations in two variables:

$(1) \ y=3+2x \\ \\ (2) \ y=x$

The fist equation is the blue one and the second equation is the red one. Both have been plotted in the first figure below. As you can see, (-3, -3) is the point of intersection and lies on both lines. So this point is a solution of the system of equation and we can also say that it touches both lines. On the other hand, if you substitute the x and y values of the point for x and y in the equations, both equations will be true, that is:

$-3=3+2(-2) \therefore -3=-3 \ True! \\ \\ (2) \ -3=-3 \ True!$

Also, you can have a system with infinitely many solutions as the following:

$(1) \ y+2x=4\\ \\ (2) \ 2y+4x=8$

Here, every point that is solution of the first equation is solution of the second one. That is because both equations are basically the same. If we divide eq (2) by 2, then we get eq (1).

<h2>Learn more:</h2>

System of linear equations in real life problems: brainly.com/question/10412788

#LearnWithBrainly

8 0

2 years ago

Read 2 more answers