Answer:
Number 11: She has to add 5/36 of a cup
Number 12: The present costs $22,2
Number 13: 56,7 pounds is the weight of the package.
Number 14: You started with 40 muffins
Step-by-step explanation:
<u>Number 11</u>: 1/4 = 9/36 and 1/9 = 4/36
3*1/4 - 3*1/9 = 3*9/36 - 3*4/36 = 5/36
<u>Number 12:</u> 13,32/x= 3/5 ( or 0,6)
x = 13,32/0,6 = 22,2
<u>Number 13:</u> x * 5/7 = 40,5
x = 40,5/ (5/7) or 40,5 * 7/5 = 283,5/5 = 56,7
<u>Number 14:</u> 12/x = 3/10 (or 0,30)
x= 12/0,30 = 40
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
a) 23 + (-16) + 42 * 5 - (-3)
= 23 - 16 + 210 + 3 = 220
b) -6(12 - 15) + 23
= -6(-3) + 23 = 18 + 23
= 41
c) -50 + (-10) + (5 - 3)4
= -50 - 10 + 2(4) = -50 - 10 + 8
= -52
d) -4.5 (-0.53) + (-1)
= 2.385 - 1
= 1.385
e) 5 - 2 + 8
= 3 + 8
= 11
The solutions to the respective equations shown in the image are 220, 41, -52, 1.385 and 11
Find out more on equation at: brainly.com/question/2972832
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800-20 is 780. A third of 780 is 780(1/3) = 260. 780 - 260 = 520. 25% of $520 is 0.25(520) = 130. 520 - 130 = 390. One sixth of 390 is 390(1/6) = 65. 390 - 65 = 325. So, Bob kept $325 for himself.
Answer: DC=30.5
Step-by-step explanation:
Use trigonometry to solve this question
----------------------------------------------------------
First Step: find BD
- AB relative to 54° is [hypotenues]
- BD relative to 54° is [opposite]
- Therefore, we need to use O/H, which is Sin
- sin(54°)=O/20=20·sin(54°)=16.2
Second Step: Find DC
- DC relative to 28° is [adjacent]
- BD relative to 28° is [opposite]
- Therefore, we need to use O/A, which is tan
- tan(28°)=16.2/A=16.2/tan(28°)=30.5
Hope this helps!! :)
Please let me know if you have any questions
From the ratio given you can determine that m is proportional to 1/(r^3). You can write this as m = k * 1/(r^3), k being your constant of proportionality. Then use this to calculate the next parts of the question.