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3 years ago

EF

Mathematics

1 answer:

BARSIC [14]3 years ago

7 0

Answer:

Step-by-step explanation:

48 + 14 / 2 = 31

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Audrey made 3 water balloons for every 6 guests at the party. How many water

Triss [41]

Answer:

4 balloons

Step-by-step explanation:

3:6= 1:2

2*3= no. of guest, 1*3= no. of balloons

2*4 (8)= number so guests, and 1*4 (4)= number of balloons

5 0

3 years ago

Find the minimum value of

Lana71 [14]

Answer:

Step-by-step explanation:

2x + y = 20 (1)

2x + 3y = 36 (2)

(2) - (1) ⇔ (2x - 3y) - (2x + y) = 36 - 20

⇔ 2y = 16

⇔ y = 8 (3)

From (3) and (1), we have:

2x + y = 2x + 8 = 20

⇔ 2x = 12

⇔ x = 6

So: C = x + y = 6 + 8 = 14

Conclusion : C = 14

Brainliest, please?

4 0

3 years ago

Simplify 7 (2x + 4) + 14.

bearhunter [10]

Answer: 14x + 42

7(2x+4)+14

14x + 28 + 14

Step-by-step explanation:

6 0

3 years ago

Sin(60-theta)sin(60+theta)

ehidna [41]

Step-by-step explanation:

$\sin(60 - \theta) \sin(60 + \theta) \\ = \{ \sin(60) \cos( \theta) - \sin( \theta) \cos(60) \} \{ \sin(60) \cos( \theta) + \cos(60) \sin( \theta) \} \\ = \{ \frac{ \sqrt{3} }{2} \cos( \theta) - \frac{1}{2} \sin( \theta) \} \{ \frac{ \sqrt{3} }{2} \cos( \theta) + \frac{1}{2} \sin( \theta) \} \\ \\$

from difference of two squares:

${ \boxed{(a - b)(a + b) = ( {a}^{2} - {b}^{2} ) }}$

therefore:

$= \{ {( \frac{ \sqrt{3} }{2}) }^{2} { \cos }^{2} \theta \} - \{ {( \frac{ \sqrt{3} }{2} )}^{2} { \sin }^{2} \theta \} \\ \\ = \frac{3}{4} { \cos }^{2} \theta - \frac{3}{4} { \sin}^{2} \theta$

factorise out ¾ :

$= \frac{3}{4} ( { \cos }^{2} \theta - { \sin}^{2} \theta) \\ \\ = { \boxed{ \frac{3}{4} \cos(2 \theta) }}$

3 0

3 years ago

Read 2 more answers

The difference between the most hours of sleep and the least of these students was 2.5 hours. True or false?

SashulF [63]

The correct anwer is False

Explanation

According to the graph, it can be seen that a student has four hours of sleep as the minimum number of hours of sleep; two students have six hours of sleep, four students have six and a half hours of sleep, four have seven hours of sleep, three have seven and a half hours of sleep, five have eight hours of sleep, and one has eight and a half hours of sleep as maximum hours of sleep. Therefore, it can be affirmed that the statement that the difference between the maximum amount and the minimum number of hours is two and a half hours is false because between four hours and eight and a half hours there are four and a half hours of difference. So, the correct answer is False.

8 0

3 years ago