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PolarNik [594]
3 years ago
12

Determine whether quantities vary directly or inversely and find the constant of variation.

Mathematics
1 answer:
insens350 [35]3 years ago
7 0
This is a problem in direct variation.  For every five minutes that goes by, Liz utters 225 words.  The general form of an equation of direct variation is 

w = k x, where w is the # of words, k is the constant of proportionality and x is the number of minutes that have elapsed.

Find k by dividing 225 words by 5 minutes, to find the number of words per minute.

Next:  How many minutes are there between 10:30 a.m. and 11:15 a.m.?  Calculate w=kx, using your constant of proportionality, k, and that number of minutes.
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A workout consisted 10 minutes of warmup exersizez, 25 minutes of lifting weights, and 15 minutes of treadmill what was the rati
Oksi-84 [34.3K]
/./././././/.25:50 ./../././..///////
8 0
3 years ago
A bowl contains blueberries and strawberries there are a total of 20 bares in the bowl the ratio blueberries to strawberries is
Alexus [3.1K]

Answer:

16 blueberries and 4 strawberries

Step-by-step explanation:

Given:

A bowl contains blueberries and strawberries there are a total of 20 berries in the bowl.

The ratio blueberries to strawberries is 4 to 1

Question asked:

How many of each berry are in the bowl ?

Solution:

Ratio of blueberries and strawberries = 4 : 1

Let ratio be x

Number of  blueberries in the bowl = 4x

Number of strawberries in the bowl = 1x=x

As total berries in the bowl are 20 and the bowl contains both blueberries and strawberries in the ratio 4 : 1 :-

4x+x=20\\5x=20\\

Dividing both sides by 5

x=4

Number of strawberries in the bowl = x = 4

Number of  blueberries in the bowl = 4x = 4\times4=16

Thus, there are 16 blueberries and 4 strawberries in the bowl.

5 0
3 years ago
Read 2 more answers
The number of members in the recycling club increased by 15 people. If the club had 12 members previously, what was the percent
ivolga24 [154]

Answer:

125%

Step-by-step explanation:

You divide 15 by 12 and convert to a percentage.

Brainliest?

4 0
3 years ago
If one root is the square root of the other in the equation 8 + mx + 27x^2 = 0, find the value of m​
ICE Princess25 [194]

Answer:

Step-by-step explanation:

6 0
3 years ago
Jack plotted the graph below to show the relationship between the temperature of his city and the number of ice cream cones he s
timurjin [86]

Answer:

(a) The amount of ice cream increase as temperature increases

(b)

y = 2x + 5 --- equation

y = 5 --- y intercept

m = 2 --- slope

Step-by-step explanation:

Given

See attachment for graph

Solving (a): The relationship between the variables

From the attached graph, the dots on the graph increases towards up-right direction. This implies that there is a positive correlation between the variables.

In other words;

The amount of ice cream increase as temperature increases

Solving (b): The line of best fit

First, we draw a line through the points (the line should have almost equal points on both sides; see attachment 2).

From (2), we select any 2 points on the line:

(x_1,y_1) = (15,35)

(x_2,y_2) = (0,5)

The slope (m) is:

m = \frac{y_2 -y_1}{x_2 - x_1}

m = \frac{5-35}{0-15}

m = \frac{-30}{-15}

m = 2

So, the line of best fit is:

y = m(x - x_1) + y_1

Substitute known values:

y = 2(x - 0) + 5

y = 2(x) + 5

y = 2x + 5

The y-intercept is when x=0

So, we have:

y = 2*0 + 5

y = 0 + 5

y = 5

6 0
3 years ago
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