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Furkat [3]
3 years ago
15

Carlo puts tins into small boxes and into large boxes. He puts 6 tins into each small box. He puts 20 tins into each large box.

Carlo puts a total of 3000 tins into the boxes so that number of tins in small boxes : number of tins in large boxes = 2:3 Carlo says that less than 30% of the boxes filled with tins are large boxes. Is Carlo correct? You must show all your working.
Mathematics
1 answer:
meriva3 years ago
8 0

Answer: Carlo is incorrect

Step-by-step explanation:

3000/(2+3) = 600 (each ratio)

2:3 = 2(600):3(600) = 1200:1800

1200/6 = 200 small boxes

1800/20 = 90 large boxes

290 boxes altogether (large and small)

(large boxes/boxes altogether)x100

(90/290)x100 = 31%

31%>30%

Therefore Carlo is incorrect

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What is the missing angle? Please provide an explanation.
irina [24]

Answer:

64 degrees

Step-by-step explanation:

Lets find the measure of the other angle in the other triangle with measures of 84 and 36.

Since there are 180 degrees in a triangle, we just add the other two angles and subtract from 180:

84 + 36 = 120

180 - 120 = 60

So the measure of the other angle in the other triangle is 60. Since there is a right angle we subtract 60 from 90

90 - 60 = 30

So the triangle with the missing angle has two angles with measures of 86 and 30. Now we add the measures and subtract from 180 again.

86 + 30 = 116

180 - 116 = 64

So the missing angle has a measure of 64 degrees

5 0
3 years ago
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Find the substance's half-life, in days.<br> Round your answer to the nearest tenth.
shutvik [7]

Answer:

t = 5.6 day

t =5 days 14 hours 24 minutes

Step-by-step explanation:

Half life is the time it will take for the original value or quantity I'd a particular substance to decrease by half of it's original self.

N = N•e(-kt)

N• = 25

K = 0.1229

Then

N = 25/2 = 12.5

The reason because at the half life , it's original value will decrease to half.

Let's solve for the half life t

N = N•e(-kt)

12.5 = 25e(-0.1229t)

12.5/25 = e(-0.1229t)

0.5 = e(-0.1229t)

In 0.5 =-0.1229t

-0.69314 = -0.1229t

-0.69314/-0.1229 = t

5.6399 = t

To the nearest tenth

5.6 days = t

4 0
4 years ago
0 What is A U B?<br> Set A = 1, 2, 3, 4<br> Set B = 2, 3, 6, 10, 11
Oxana [17]

Answer:

A U B= 1,2,3,4,6,10,11

Step-by-step explanation:

because A union B is all number from set A and set B together without repeating

4 0
3 years ago
Name the intersection of AB and CD
Vlad1618 [11]

Answer:

two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Algebra -> Angles -> SOLUTION: two lines, AB and CD, intersect at point E. find the values of x and y given that: the measure of angle AED equals (10x+9y), the measure of angle AEC equals (xy), and the measure Log On

Step-by-step explanation:

7 0
3 years ago
Show all work below to answer the following for a certain city that had a population of 150,000 in the year 2010. In 2020, the p
Gelneren [198K]

The constant rate of continuous growth, k, for this population is equal to 2.11935%. And the population  will reach 250,000 people in 24.36 years.

For solving this question, you should apply the Population Growth Equation.

<h3>Population Growth Equation</h3>

The formula for the Population Growth Equation is:

      P_f=P_o*(1+\frac{R}{100} )^t        

Pf= future population

Po=initial population

r=growth rate

t= time (years)

STEP 1 - Find the constant rate of continuous growth, k, for this population.

For this exercise, you have:

Pf= future population= 185,000 in 2020.

Po=initial population =150,000 in 2010.

r=growth rate= ?

t= time (years)=2020-2010=10

Then,

P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 185000=150000\cdot \left(1+\frac{R}{100}\:\right)^{10}\\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{185000}{150000} \\ \\ \left(1+\frac{R}{100}\right)^{10}=\frac{37}{30}\\ \\ R=100\sqrt[10]{\frac{37}{30}}-100=2.11935\%

STEP 2 - Find the <em>t</em>  for population 250,000 people.

P_f=P_o*(1+\frac{R}{100} )^t\\ \\ 250000=150000\cdot \left(1+\frac{2.11935}{100}\:\right)^{10}\\ \\ \left(1+\frac{2.11935}{100}\right)^{10}=\frac{250000}{150000} \\ \\ \left(1+\frac{2.11935}{100}\right)^t=\frac{5}{3}\\ \\ t\ln \left(1+\frac{2.11935}{100}\right)=\ln \left(\frac{5}{3}\right)\\ \\ t=\frac{\ln \left(\frac{5}{3}\right)}{\ln \left(\frac{102.11935}{100}\right)}\\ \\ t=24.36

Read more about the population growth equation here:

brainly.com/question/25630111

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2 years ago
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