Danny charges $27 for 3 hours of swimming lessons, Martin charges $30 for 2 hours of swimming lessons. Who offers a better deal?

Answer:  D) 46

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Explanation:

We have these 8 given facts

Draw out a rectangle to represent the universal set U. Inside this rectangle, draw three overlapping circles. Refer to the diagram below (imagine that none of the values have been written down just yet). These circles are A, B, and C.

Now we'll focus on the 8 facts above. To start off, we'll look at fact 6 which says n(A ∩ B ∩ C) = 10. This means there are 10 items inside all three sets. This is the middle most region where all three circles overlap with one another.

Then move to fact 4 and we see that 19 items are in sets A and B at the same time. Subtract off those 10 items in all three sets and we have 19-10 = 9 items in set A and B, but not set C. We can write this as n(A ∩ B ∩ C') = 9 if you wanted to stay consistent with this math notation. Write "9" in the overlapped region between A and B, but not inside circle C.

Now go to fact 5. We have n(A ∩ C) = 22 telling us there are 22 items in both sets A and C at the same time. Subtract off the 10 in all three sets and we're left with 22-10 = 12 items in set A and set C, but not set B. We can write this as n(A ∩ B' ∩ C) = 12. Write "12" in the region between A and C, but outside of circle B.

If you're stuck anywhere, refer to the diagram below. Imagine that not all of the values have been filled in just yet.

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So far you should have the numbers 10, 9 and 12 written in those positions I mentioned. Circle A is mostly filled out. We're missing the region that's inside A but outside both B and C; however, we can find that to be 17. Why is this? Well because n(A) = 48 and the other values (10, 9 and 12) add to 10+9+12 = 31. Then note how 31+17 = 48. So we must have 17 items in circle A but outside the other circles. We can write this as n(A ∩ B' ∩ C') = 17

In short, all of the values in circle A must add to 48. We have 17+10+9+12 = 48.

From fact 7, we can see that n(A' ∩ B ∩ C') = 39 meaning there are 39 items in circle B and not in any other circle. So we'll fill this value in as well.

The last value to fill in is the 36 from fact 8. This goes outside all of the circles.

The venn diagram below shows all of these values filled in that I mentioned so far. The missing two blank regions in circle C can be thought of as one region for the sake of simplicity.

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Using that diagram of filled in values, add up every number written down:

17+9+39+12+10+36 = 123

We have 123 items so far in the universal set

We're told that n(U) = 147, meaning there are 147 items total in the universal set.

This must mean that 147-123 = 24 items are in the two blank regions of circle C. We don't need to break down how the 24 splits up.

That 24 adds to the other numbers inside circle C to get to the final answer

12+10+24 = 46

Choice D is the answer.

Side note: you could use n(B) = 68 to help break down those two blank regions of circle C, but that's just unnecessary extra work.

Answer:

compare both the equation we get,

X-6 = -9x+14

or, 10X =20

or, X= 2

Y=X-6

or, Y= 2-6

or, Y= -4

hence the solution is (2,-4)

Answer:

C)  -2/3

Step-by-step explanation:

1/4p = 4/6 - 5/6

1/4p = -1/6

6p = -4

p = -4/6 or -2/3

Answer:

9

Step-by-step explanation:

i dont know

if it right or wrong

Answer:

30

Step-by-step explanation:

I did the test i hope it helps brainlist plz :>

-lexi

Answer:

Step-by-step explanation:

There are many ways to prove this, this is just how I do it. Hope it helps.

Answer:

17

Step-by-step explanation:

bc nothing can go into it besides 1 and itself.

Answer:

Yes, it's a parallelogram

Step-by-step explanation:

Slope Formula: y2-y1/x2-x1

KL: 12-7/6-2 = 5/4

LM; 13-12/13-6 = 1/7

MN: 8-13/9-13 = 5/4

KN: 7-8/9-2 = 1/7

Since angles and sides opposite one another on a parallelogram are congruent, we can say this is a parallelogram because there are congruent.

Answer:

answer below:)

Step-by-step explanation:

since s2= 6.2, then:

cos L= [tex]\frac{adjacent side }{hypotenuse side}[/tex]= [tex]\frac{6.2}{7\\}[/tex]

Answer:

22.5 feet

Step-by-step explanation:

The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Since

A 26-foot-long ladder is leaning against a building at a 60 degree angle with the ground.

We know that

sin θ = Perpendicular/Hypotenuse.

So

here we assume p be the Perpendicular

So,

sin60 = p/26.

p = 26*sin60.

p = 22.5

hence, The approximate height of the building is to be considered as the 22.5 feet that should be Round to the nearest tenth.

Learn more about height here; https://brainly.com/question/21005254

Answer:

320

Step-by-step explanation:

A=1/7 * .28 *8000 = 320

Answer: 320

Step-by-step explanation: 1/7*28 of 8000

Answer:

24 units squared

Step-by-step explanation:

Answer:

24 square units

Step-by-step explanation:

Hope that helps and good luck on your Quizizz!

Answer:

ten may be if it is incorrect forgive me

Answer:

12%

Step-by-step explanation:

Answer:

Step-by-step explanation:

x% of 3.50 = 12.50

x% = 12.50/3.50 ≅ 3.57 = 357%

price increased by 357%

profit = 12.50 - 3.50 = $9

Answer:

9 cows, 15 chicken

Step-by-step explanation:

9 x 4 = 36

15 x 2 = 30

9 + 15 = 24

36 + 30 = 66

Answer:

19

Step-by-step explanation:

Median= Middle number

12-5= 7

12+7=19

Answer:

1.0.003

2.40 minutes

3.a,e

4.a,c,d

5.1/24

Step-by-step explanation:

Answer:

-5/12

Step-by-step explanation:

you need to simplify both sides of the equasion, then isolate the variable

Answer:56

Step-by-step explanation:

72% of 200= 144

200-143=56

Answer:

24 cm^3

Step-by-step explanation:

4x2x3=24

Answer:

3,4,5

Step-by-step explanation:

All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

Answer:

Step-by-step explanation:

Answer:

the ball is to help with reflexes you have to dodge the ball so you dont get hit

i think

Answer:

Option (4) is correct.

Step-by-step explanation:

We need to show that [tex]5^{3/2}[/tex] is equivalent to radical [tex]\sqrt{5^3}[/tex].

We can do it as follows :

[tex]\sqrt{5^3} =(5^3)^{\dfrac{1}{2}}\\\\=5^{\dfrac{3}{2}}[/tex]

Hence, the correct option is (4).

Answer:

last two options

Step-by-step explanation:

Answer:

3347 is the answer. Hope that helps

Answer:

3347

Step-by-step explanation:

20+30=50

50+90=140

140+2=142

142+278=420

420+7=427

427+2891=3318

3318+29=3347

Answer:

Hello! :) have a good day!

2x + 12

Answer:

First: Multiply the numbers

2 x 10 + 2 (x -4)

20+2(x-4)

Secondly: Distribute

20+2(x-4)=

20 + 2x - 8

Thirdly: Subtract the numbers

20 + 2x - 8=

12 + 2x

Lastly: Rearrange terms

12 + 2x

2x + 12

And that would leave us with our answer 2x + 12!