Ask question

Ask question

All categories

4 years ago

11

The scatter plot below can be used to find the approximate rate at which water flows through a garden hose. The line of best fit

for the scatter plot can be described by the equation y = 4/5x. If the rate, in gallons per minute, continues, approximately how many gallons of water will flow from the hose in 45 minutes?
36
39
56
24

1 answer:

creativ13 [48]4 years ago

6 0

Answer:

$36\ \text{gallons per unit}$ will flow from the hose in 45 minutes.

Step-by-step explanation:

The line of best fit for the scatter plot can be described by the equation :

$y=\dfrac{4}{5}x$

y is amount of water in gallons

x is time

When x = 45 minutes, put x = 45 in above formula as :

$y=\dfrac{4}{5}\times 45\\\\y=36\ \text{gallons per unit}$

So, $36\ \text{gallons per unit}$ will flow from the hose in 45 minutes.

You might be interested in

In a paragraph, explain in writing why certain sums are more likely to be rolled than others. Please provide example to justify

ehidna [41]

Any sum over 6 or more is likely to be rolled than a sum smaller than 6 because there is more of a probable chance to roll two dice with three or higher compared to rolling three or lower. of course this is theoretical probability, not experimental probablility ( physically rolling dice.)

7 0

3 years ago

Please help me with this will give brainliest to best answer

balu736 [363]

Answer:

this may sound crazy but its A,B,C,D

Step-by-step explanation:

they not in the boundaries 0f 5 to 0 or -2 to 0

5 0

3 years ago

Ron walks 0.5 mile on a track in 10 minutes. Stevie walks on the track in 6 minutes. Find the unit rate for each walker in miles

sveticcg [70]

Stevie is the fastest runner hope that answers your question!

7 0

3 years ago

3. Evaluate a + b for a = -46 and b= 34.<br> A:-12<br> B:80<br> C:-80<br> D:12

blsea [12.9K]

Answer:

<h2>A: -12</h2>

Step-by-step explanation:

Put the values of a = -46 and b = 34 to the expression a + b:

-46 + 34 <em>use the commutative property a + b = b + a</em>

= 34 + (-46) = 34 - 46 = -12

4 0

3 years ago

Which is the inverse of the function a(d)=5d-3? And use the definition of inverse functions to prove a(d) and a-1(d) are inverse

Drupady [299]

Answer:

$a'(d) = \frac{d}{5} + \frac{3}{5}$

$a(a'(d)) = a'(a(d)) = d$

Step-by-step explanation:

Given

$a(d) = 5d - 3$

Solving (a): Write as inverse function

$a(d) = 5d - 3$

Represent a(d) as y

$y = 5d - 3$

Swap positions of d and y

$d = 5y - 3$

Make y the subject

$5y = d + 3$

$y = \frac{d}{5} + \frac{3}{5}$

Replace y with a'(d)

$a'(d) = \frac{d}{5} + \frac{3}{5}$

Prove that a(d) and a'(d) are inverse functions

$a'(d) = \frac{d}{5} + \frac{3}{5}$ and $a(d) = 5d - 3$

To do this, we prove that:

$a(a'(d)) = a'(a(d)) = d$

Solving for $a(a'(d))$

$a(a'(d)) = a(\frac{d}{5} + \frac{3}{5})$

Substitute $\frac{d}{5} + \frac{3}{5}$ for d in $a(d) = 5d - 3$

$a(a'(d)) = 5(\frac{d}{5} + \frac{3}{5}) - 3$

$a(a'(d)) = \frac{5d}{5} + \frac{15}{5} - 3$

$a(a'(d)) = d + 3 - 3$

$a(a'(d)) = d$

Solving for: $a'(a(d))$

$a'(a(d)) = a'(5d - 3)$

Substitute 5d - 3 for d in $a'(d) = \frac{d}{5} + \frac{3}{5}$

$a'(a(d)) = \frac{5d - 3}{5} + \frac{3}{5}$

Add fractions

$a'(a(d)) = \frac{5d - 3+3}{5}$

$a'(a(d)) = \frac{5d}{5}$

$a'(a(d)) = d$

Hence:

$a(a'(d)) = a'(a(d)) = d$

7 0

3 years ago