1) Find the sum of 3/5 and 2/52) Find the difference between 2/3 and 1/4
3). what is 5 3/10 minus 2/5
4). For the school's inframurals a group of student prepared 23 1/12 liters of lemonade to sell at the end of the day they had 3 5/8 liters left over. how many liters of lemonade were sold?
5). my mother brought 3 3/4 kg of beef
2 3/5 kg of pork and 5 1/2 kg of chicken how many kilo grams of meat did she buy

Answers

Answer 1
Answer:

Step-by-step explanation:

1) 3/5 + 2/5 = 5/5 or 1

2) to do this problem you need to make the denominators the same

(2/3)4 (1/4)3 8/12- 3/12. = 5/12

3)likewise here, you only have to change one denomimator

5 3/10 - (2/5)2

5 3/10 - 4/10

now to make this easiee for myself I prefer to make it a mixed number so 5(10)+ 3 = 53/10

53/10 - 4/10 = 49/10 then we convert this back to a mixed number and thus

5 3/10 - 2/5 = 4 9/10

4) 23 (1/12)2 - x = (3 5/8)3

23 2/24 - x = 3 15/24

- 3 15/24 +x = -3 15/24 + x

19 21/24 = x

simplify 19 7/8 liters sold

5) 3 3/4 + 2 3/5 + 5 1/2 = 11 17/20


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There are two more assignments in your course before the semester ends, and if you get an A on at least one of them, you will get an A for the semester. Your "what-if" scenario looks like this:Event Probability

A on paper and A on presentation 0.25
A on paper only 0.10
A on presentation only 0.30
Do not get an A on either 0.35

Answer the following questions: (1 point each, except the last item, 2 points)

a. What is the probability of getting an A on the paper?
b. What is the probability of getting an A on the presentation?
c. What is the probability of getting an A in the course?
d. Are the grades on the assignments independent? Explain your answer

Answers

Answer:

Step-by-step explanation:

Hello!

Given the events:

A: "obtain an A in the paper assigment" ⇒ P(A)= 0.10

B: "obtain A in the presentation assigment" ⇒ P(B)= 0.30

Ac: "do not get an A in the paper assigment" ⇒ P(Ac)= 1 - 0.10= 0.9

Bc: "do not get an A in the presentation assigment" ⇒ P(Bc)= 1 - 0.30= 0.7

P(A∩B)= 0.25

P(Ac∩Bc)= 0.35

a. P(A)= 0.10

b. P(B)= 0.30

c. To get an A in the course you have to get an A in the paper and an A in the presentation, symbolically: P(A∩B)= 0.25

d. If the events A and B are independent, then the ocurrence of one of them doesn't affect the probability of the other ocurring, if this is so then:

P(A)= P(A/B)

P(A/B)= (P(AnB))/(P(B)) = (0.25)/(030)= 0.83

P(A) ≠ P(A/B) this means that "B" ocurring modifies the probability of ocurrence of A, i.e. both events are not independent.

I hope it helps!

Please answer asap.........

Answers

Answer:

1.4 i would wait for someone else to answer it I'm not sure

Step-by-step explanation:

Which number is closest to the square root of 84 ?

Answers

The answer is 9 . Nine squared is 81 . Ten squared is 100. 81 is closer to 84, than 100 is

What is the volume of 22.5 g of metal with a density of 2.81 g/cm

Answers

Answer:V = 72.1 cm³ - 50.0 cm³ = 22.1 cm³

D = mV=99.7g22.1cm³ = 4.51 g/cm³

Step-by-step explanation:

d = mV

m = d×V

V = md

DENSITY

Density is defined as mass per unit volume.

d = mV

Example:

A brick of salt measuring 10.0 cm x 10.0 cm x 2.00 cm has a mass of 433 g. What is its density?

Step 1: Calculate the volume

V = lwh = 10.0 cm × 10.0 cm × 2.00 cm = 200 cm³

Step 2: Calculate the density

d = mV = 433g200cm³ = 2.16 g/cm³

MASS

d = mV

We can rearrange this to get the expression for the mass.

m = d×V

Example:

If 500 mL of a liquid has a density of 1.11 g/mL, what is its mass?

m = d×V = 500 mL × 1.11g1mL = 555 g

VOLUME

d = mV

We can rearrange this to get the expression for the volume.

V = md

Example:

What is the volume of a bar of gold that has a mass of 14.83 kg. The density of gold is 19.32 g/cm³.

Step 1: Convert kilograms to grams.

14.83 kg × 1000g1kg = 14 830 g

Step 2: Calculate the volume.

V = md = 14 830 g × 1cm³19.32g = 767.6 cm³

Sin2x/1+cos2x=tanx
How do I prove this with the double angle law

Answers

sin(2x) = 2 sin x cos x \n \n cos(2x) = cos^2 x - sin^2 x
After Substituting:
(2 sin x cos x)/(1+cos^2 x - sin^2 x)
Use pythagorean thm:
1 - sin^2 x = cos^2 x
......................
(2 sin x cos x)/(2cos^2 x) \n \n = (sinx )/(cos x) \n \n = tan x

What is nearest tenth of 0.273

Answers

Answer:

0.3

To round 0.273 to the nearest tenth consider the hundredths’ value of 0.273, which is 7 and equal or more than 5. Therefore, the tenths value of 0.273 increases by 1 to 3.

0.273 rounded to the nearest tenth = 0.3