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Mice21 [21]
3 years ago
14

Suppose that y varies directly with x and y = 10 when x = 20. What is y when x = 15?

Mathematics
1 answer:
tresset_1 [31]3 years ago
5 0

Answer: y = 7.5

Step-by-step explanation:

Suppose that y varies directly with x

That is, y∝x

Convert y∝x to a full equation by introducing a constant k to the right hand side.

Therefore, y = kx

Given that y = 10 and x = 20

Substitute y and x in the equation above. We have;

10 = k(20)

10 = 20k

20k = 10

k = 10/20

k = 0.5

Since k = 0.5, the equation y = kx becomes y = 0.5x

Now, to find y if x = 15, substitute x in equation y = 0.5x

Therefore, y = 0.5(15)

y = 7.5

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Work out the area of this triangle.<br><br> I will mark you as brainliest, please help quick.
nataly862011 [7]

Answer:

<u><em>22 cm²</em></u>

Step-by-step explanation:

Work out the area of this triangle.

Area Formula: 1/2b * h where b = base (11cm) and h = height (4 cm)

1/2 *11 * 4 =

5.5 * 4 =

<u><em>22 cm²</em></u>

3 0
2 years ago
You drink 2/7 of a pitcher of lemonade. Your friend drinks 3/14 of the pitcher. What fraction of the pitcher do you and your fri
Strike441 [17]

Answer:

7.8

Step-by-step explanation:

4 0
3 years ago
How many decibels is this? show work​
slavikrds [6]

Answer:

  • <u>115 dB</u>

Explanation:

<u>1. Given equation:</u>

\beta =10log(\frac{I}{I_0})\\\\ I_0=10^{-12}W/m^2

<u>2. Given intensity:</u>

I=0.315W/m^2

<u>3. Decibels</u>

\beta =10log(0.315/10^{-12})\\ \\ \beta =10log(315,000,000,000)\\ \\ \beta =10(11.498)=114.98\approx 115

4 0
3 years ago
Which statement correctly compares the mean number of students for the data in the plots?
satela [25.4K]

Answer:

<em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

Step-by-step explanation:

We need to compute the mean for each.

<u>Poplar Middle School:</u>

Lets list the numbers

20,20,20,21,21,21,21,21,22,22,22,22,22,22,22,23,23,23,23,24

The average is sum of all divided by number of numbers, that will be:

435/20 = 21.75

<u>Oak Middle School:</u>

The numbers are:

20,21,21,22,22,23,23,23,23,24,24,24,25,25,26,26,27,27,28,29

The average is sum divided by number of numbers, that will be:

483/20 = 24.15

The difference in mean is:

24.15 - 21.75 = 2.4

We can say, that is about 2 more students in Oak Middle School, correct answer choice is "2nd answer choice" - <em><u>"There are about 2 more students in each class at Oak Middle School than at Poplar Middle School."</u></em>

7 0
3 years ago
WILL MARK BRAINLIEST NEED HELP ASAP :D
nexus9112 [7]

The measure of angle RML is of 130º.

<h3>What is the value of x?</h3>

Angle NML is the sum of angles NMR and RML, hence:

NML = NMR + RML.

The given measures of the angles are:

  • NML = 156º.
  • NMR = 26º.

Hence we can solve the equation for RML to find the measure of angle RML, as follows:

NML = NMR + RML

156 = 26 + RML

RML = 130º.

The measure of angle RML is of 130º.

A similar problem, in which the measures of the angles are calculated, is given at brainly.com/question/25716982

#SPJ1

5 0
1 year ago
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