MATHEMATICS HIGH SCHOOL

Betty and Adam are playing cards. Betty has won 5 hands and Adam has won 20 hands. What is the ratio of the number of hands Betty has won to the number of hands Adam has won? A. 4:1 B. 1:4 C. 1:5 D. 5:1

Answers

Answer 1
Answer:

Answer:

B. 1:4

Step-by-step explanation:

This problem is on ratio of quantities.

step one:

what is a ratio?

A ratio is a way of expressing the relation of one quantity to another, it is usaully expressed in fraction as x/y, x:y or sometime x is to y

step two:

given that Betty won 5 hands

and Adam won 20 hands

step three:

Therefore the ratio of the number of hands Betty has won to the number of hands Adam has won is

=5/20

=1/4

or simply put 1:4

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What is the common ratio of the geometric sequence: -1/12.-1/2,-3,18,...

How is the divisibility rule for 7 more complicated then the rules for 2,3,5 and 10?

Answers

Divisibility rule of 2: All even numbers are divisible by 2 means no remainder will be left. For example- 4,6,10,18,26 etc

Divisibility rule of 3: A number is divisible by 3 if the sum of the digits is divisible by 3. For example- 15,54,213,699 etc

Divisibility rule of 5: A number is divisible by 5 if the number's last digit is either 0 or 5. For example- 40,85,255,3600,6510 etc

Divisibility rule of 10: The last digit must be zero. For example-100,450,2500,3010,5860 etc

Divisibility rule of 7: To know if a given number is divisible by 7, we will take the last digit of the number and double it. Then we will subtract the result from the rest of the number. If the resulting number is evenly divisible by 7, then the original number is also divisible by 7. For example: 2555, 5509,203, 287 etc

Lets check for 2555. double the last digit. 5 is doubled to 10. Then subtract 10 from 255 this gives 245. 245 is divisible by 7, so 2555 is divisible by 7.

this is the reason, divisibility rule of 7 is complicated as compared to other given number.

What is the approximate volume of the sphere? Use 3.14 to approximate pi and round the answer to two decimal places if needed. A. 48 cm3

B. 150.72 cm3

C. 288.00 cm3

D. 904.32 cm3

Answers

There should have been an image that accompanied this word problem. 
I saw the image of the sphere. It has a radius of 6 cm.

We need the radius of the sphere to solve for its volume.

Volume of a sphere = 4/3 π r³
V = 4/3 * 3.14 * (6m)³
V = 1.33 * 3.14 * 216cm³
V = 902.06 cm³

I solved the problem using the full value of pi and the given answer was Choice D. 904.32

There is a difference in the actual answers because of the use of numbers with that only extends two decimal places.

Solve the following linear equation.

6(x + 2) = 30 x

Answers

Answer:

x=1/2

Step-by-step explanation:
6(x + 2) = 30x
6x + 12 = 30x
Subtract 6x from both sides
6x - 6x + 12 = 30x - 12
12 = 18x
Divide 18 from both sides
12/18 = 18x/18
12/18 = x

The figure shows Polygon ABCD and some of its transformed images on a coordinate grid:

Which of the four polygons was formed by a translation of Polygon ABCD?
A 1
B 2
C3
D4

 

 

Answers

hey i got it right ur answer is 3 tell me if im right

Answer:

you are right

Step-by-step explanation:

Jason and Kyle both choose a number from 1-10 at random what is the probability that both numbers are odd

Answers

1, 2, 3, 4, 5, 6, 7, 8, 9, 10.

There are 5 odd numbers from 1 to 10.

So, the probability of choosing a odd number is going to be 

(5)/(10)

(1)/(2)

So, the probability forone person is 0.5

And the same goes for the other person. So, you multiply 0.5 by itself. So the probability is going to be (0.5*0.5) = 0.25
Jason:
(odd)/(total) \n = (5)/(10) \n = (1)/(2)
Kyle:
(odd)/(total) \n = (5)/(10) \n = (1)/(2)

Now, multiply the two probabilities together:
(1)/(2) * (1)/(2) \n (1*1)/(2*2) \n (1)/(4)

The answer is 1/4, or .25

Hope this helps!

Anna wants to celebrate her birthday by eating pizza with her friends. For \$42.50$42.50dollar sign, 42, point, 50 total, they can buy ppp boxes of pizza. Each box of pizza costs \$8.50$8.50dollar sign, 8, point, 50.

Answers

Answer: 5

Step-by-step explanation:

From the question, Anna has an amount of $42.50 to pay for pizza and each pizza costs $8.50. She wants to buy an unknown number of pizzas, that we are representing by p.

P= Total amount Anna has/cost of each pizza

P = $42.50/$8.50

P = 5

Anna can buy 5 pizzas

Answer:

5

Step-by-step explanation:
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