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anyanavicka [17]
3 years ago
8

In Gil's middle school, 1/4 of the students take life science, 1/3 take physical science, 1/6 take earth science. What fraction

of the students is taking all these courses?
Mathematics
1 answer:
Mashutka [201]3 years ago
4 0
Yes the second one Have a good day
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WHO EVER ANSWERS FIRST GETS BRAINLIEST
Neko [114]

Answer:

  1. -x - 3 < 13 + 3x

<u> +3 +3</u>

-x < 16 + 3x

<u>-3x - 3x</u>

-<u>4x</u> < <u>16</u>

-4 -4

x > -4

2. -4x - 3 <13

<u> +3</u><u> </u><u> </u><u> </u><u>+3</u>

-<u>4</u><u>x</u> < <u>16</u>

-4 -4

x > -4

3. 2x - 3 < 13

2x -3+3 < 13+3

<u> 2x</u> < <u>16</u>

2 2

x < 8

4. -4x - 3 > 13

-4x -3+3 > 13+3

-<u>4x</u> > <u>16</u>

-4 -4

x < -4

5. 2x - 3 > 13

2x -3+3 > 13+3

<u>2x</u> > <u>16</u>

2 2

x > 8

6 0
4 years ago
Peter walked 10m from X to Y on bearing 020° and then he turned and walked 20m to Z with bearing 140° of Z from Y. Find the dist
seraphim [82]

Answer:

17.32m ; 110°

Step-by-step explanation:

Distance between X and Z

To calculate the distance between X and Z

y^2 = x^2 + z^2 - (2xz)*cosY

x = 20, Z = 10

y^2 = 20^2 + 10^2 - (2*20*10)* cos60°

y^2 = 400 + 100 - (400)* 0.5

y^2 = 500 - 200

y^2 = 300

y = sqrt(300)

y = 17.32m

Bearing of Z from X:

Using cosine rule :

Cos X = (y^2 + z^2 - x^2) / 2yz

Cos X = (300 + 100 - 400) / (2 * 20 '*10)

Cos X = 0 / 400

Cos X = 0

X = cos^-1 (0)

X = 90°

Bearing of Z from X

= 20° + X

= 20° + 90°

= 110°

3 0
3 years ago
See attached picture.
Andrei [34K]

Answer:

28

Step-by-step explanation:

Since the triangle is a right triangle, we can use SOH CAH TOA to find ?. 10 is OPPOSITE to ? and 21 is HYPOTENUSE to ?, so we can use SIN to find ?.


SIN(?) = 10/21

? = ARCSIN(10/21)

? = 28.437

5 0
2 years ago
A student receives test scores of 62, 83, and 91. This student's term project score is 88. Each test is worth 20% of the final g
miskamm [114]

Answer:

The student's current average score will be 69.2

Step-by-step explanation:

Let first test be TEST A: which is 20 of total and secures 62

Let second test be TEST B: which is 20 of the total marks and has secured 83.

Let third test be TEST C: which is 20 of total and has secured 91.

And now the TEST D which is 25 of total and has secured 88.

Therefore, by multipying across

{0.2}\times{62} = 12.4

{0.2}\times{83} = 16.6

{0.2}\times{91} = 18.2

{0.25}\times{88} =22

Now, by adding the scores to get the average score

We get, 69.2.

6 0
3 years ago
Use complete sentences to describe how logarithms can aid in difficult calculations.
Burka [1]
First, it is to be understood that logarithms allow a person to subject a number as an exponent of a base. As an example of ways in which logarithm is used to aid us in difficult calculations is when we calculate for the pH of a substance which has a formula of,
                                       pH = -log[H+]
4 0
3 years ago
Read 2 more answers
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