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arlik [135]
3 years ago
11

Andrew must spend less than $61 on meals during the weekend. He has already spent $25 on meals, with each meal costing $9 on ave

rage.
9x + 25 < 61
How many additional meals can Andrew buy this weekend? Select the inequality that includes the maximum number of additional meals Andrew can buy this weekend while still staying within his budget.

A. x < 4
B. x < 36
C. x < 9
D. x < 25
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
The answer is A. x<4. 
to approach this inequality you first want to pass the positive 25 over and than subtract it. (61-25 = 36) then you divide the 9 in order to leave x by itself. finally you divide 36/9 and you 4. hence your answer is x<4
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29% of base is 26.5 This is a question about percentage not triangles or geometry
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Answer:

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Step-by-step explanation:

26.5 x 100/29 = 91.38

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The high school baseball team won the championship this season. The total runs scored for each of their 15 game are listed below
Keith_Richards [23]

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Lady_Fox [76]

Answer:

\theta =2\pi k,\ \ k\in Z\ \\\text{or}\ \\\theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z

Step-by-step explanation:

Given:

\cos \theta-\sqrt{3}\sin \theta=1

Divide this equation by 2:

\dfrac{1}{2}\cos \theta-\dfrac{\sqrt{3}}{2}\sin \theta=\dfrac{1}{2}

Note that

\cos \dfrac{\pi }{3}=\dfrac{1}{2}\\ \\\sin \dfrac{\pi }{3}=\dfrac{\sqrt{3}}{2}

So, the previous equation is

\cos \dfrac{\pi}{3}\cdot \cos \theta-\sin \dfrac{\pi}{3}\cdot \sin \theta=\dfrac{1}{2}

Remind that

\cos x\cos y-\sin x\sin y=\cos (x+y),

then

\cos \left(\dfrac{\pi}{3}+\theta\right)=\dfrac{1}{2}

The solution of this equation is

\dfrac{\pi}{3}+\theta=\pm \arccos \dfrac{1}{2}+2\pi k,\ \ k\in Z\\ \\\dfrac{\pi}{3}+\theta=\pm \dfrac{\pi}{3}+2\pi k,\ \ k\in Z\\ \\\theta =2\pi k,\ \ k\in Z\ \text{or}\ \theta=-\dfrac{2\pi}{3}+2\pi k,\ \ k\in Z

8 0
3 years ago
Help please I beg of the ​
Anika [276]

Answer:

1 would be on 1.4 so before 1.5 on the line

2 would be on around 4.1 so after 4.0 by a little

3 would be on 3.3 so kind of in the middle of 3.0 and 3.5

4 would be on 2.8 so before 3.0

5 is on 2.2 so a little after 2.0

6 would be just a little more than 5 around 5.09

11 is E

12 is A

13 is D

14 is C

15 is B

16 is B

17 is A

18 is D

19 is C

20 is E

All you have to do is find the square root through a calculator then round your answer and estimate where it would go on the line. Hope this helped

7 0
3 years ago
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Goshia [24]

9514 1404 393

Answer:

  (c)  162 cm

Step-by-step explanation:

The centroid divides a median into parts with the ratio 1:2, so RL:LD = 1:2. Then RL:RD = 1:(1+2), and RD = 3RL.

  RD = 3·54 cm

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3 years ago
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