MATHEMATICS HIGH SCHOOL

Are these ratios equivalent?
18 pedestrians : 9 days
14 pedestrians : 7 days

Answers

Answer 1

Answer:

Answer: Yes.

Step-by-step explanation: By simplifying both ratios you get 2 pedestrians : 1 day.

Answer 2

Answer:

Answer:

yes

Step-by-step explanation:

they both equal to 2 pedestirans: 1 day

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What is 0.021 in fraction form?
Sandy and Alex are married, with no dependents. They wish to file a joint tax return. Both of them work, but their combined salaries only put them at a slightly above-average income. They would also like to deduct interest paid on their student loans. Recommend an appropriate 1040 form for Sandy and Alex to fill out.. a.. 1040. b.. 1040-EZ. c.. 1040-2. d.. 1040-A.

Two rectangles are similar. One has a length of 12 cm and a width of 9 cm, and the other has a width of 8 cm. Find the length of the second rectangle. Round to the nearest tenth if necessary.

Answers

The length of the other rectangle is 10.67 centimeters.

What are similar rectangles?

Those rectangles look the same but are different in size.

And in similar rectangles,

the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.

Given:

The two rectangles are similar.

One has a length of 12 cm and a width of 9 cm,

and the other has a width of 8 cm.

Let the length of the other rectangle is n cm.

The corresponding side has a constant ratio.

So, 12/n = 9/8

9n = 12(8)

n = 12(8)/9

n = 10.67

Therefore, the required length is 10.67 centimeters.

To learn more about similar rectangles;

brainly.com/question/14926756

#SPJ3

Answer:10.7cm is the answer

Step-by-step explanation:

Jamie spent 4 hours a day playing video games for three weeks. How many hours did he play during three weeks

Answers

Answer:

Step-by-step explanation:

there are 7 days in a week so u mutiply they 3 weeks by 7 and you get 21 mutiply that by the 4 hours that he played and your answers will be 84

Answer:

84 hours

Step-by-step explanation:

For a week Jamie spent a total of 28 hours (4 hours x 7 days). Since Jamie played for 3 weeks, all you need to do is multiply 28 times 3 = 84. ( 28 hours x 3 weeks)

Four people in a room. Each shakes hands with each of the others once. How many handshakes are there? 6
10
12
16
22

Answers

The correct answer is 6.

The clearest way to determine this is by creating a table of possible hand shaking. If we label the people A-D, the following are the ways they can be combined:
AB
AC
AD
BC
BD
CD

There are no other combinations.

There are 6 handshakes betweenfour people in the room.

Further explanation

The probability of an event is defined as the possibility of an event occurring against sample space.

$\large { \boxed {P(A) = \frac{\text{Number of Favorable Outcomes to A}}{\text {Total Number of Outcomes}} } }$

Permutation ( Arrangement )

Permutation is the number of ways to arrange objects.

$\large {\boxed {^nP_r = (n!)/((n - r)!) } }$

Combination ( Selection )

Combination is the number of ways to select objects.

$\large {\boxed {^nC_r = (n!)/(r! (n - r)!) } }$

Let us tackle the problem.

This problem is about Combination.

If there are 4 people in a room , then the number of handshaking between 2 people is analogy as selecting 2 people from 4 people available. We will use combination formula in this problem.

$^4C_2 = (4!)/(2! (4-2)!)$

$^4C_2 = (4!)/(2! 2!)$

$^4C_2 = (4 * 3 * 2 * 1)/(2 * 1 * 2 * 1)$

$^4C_2 = ( 24 )/(4)$

$^4C_2 = \boxed{6}$

Learn more

Different Birthdays : brainly.com/question/7567074
Dependent or Independent Events : brainly.com/question/12029535
Mutually exclusive : brainly.com/question/3464581

Answer details

Grade: High School

Subject: Mathematics

Chapter: Probability

Keywords: Probability , Sample , Space , Six , Dice , Die , Binomial , Distribution , Mean , Variance , Standard Deviation

Solve the equation: 9x − 2 = 4(x + 3)14

13

14

9

10

5

14

5

Answers

9x − 2 = 4(x + 3)
Use PEMDAS
9x - 2 = 4(x + 3)
9x - 2 = 4x + 12
add 2 to both sides
9x = 4x + 14
subtract 4x from both sides
5x = 14
divide both sides by 5
x = 14/5
x = 2 4/5

Hope this helps!

In the game of pool, the fifteen balls are packed tightly into a triangular rack. The diameter of all the balls are the same. If the height of the rack is BC = 33 cm. Find the diameter of a ball.

Answers

(264(3^1/2)-198)/39 = approximately 6.648 cm.
Let x be the diameter of the ball. Stacking the balls will create a kite. From there it can be derived that the height of the kite is x(3^1/2).
There will be 2 kites in the stack, and 2 half balls + increment between the ball and tip of triangle which is x/2.
Adding these altogether = 33, we get x as stated above.

Hello there.

In the game of pool, the fifteen balls are packed tightly into a triangular rack. The diameter of all the balls are the same. If the height of the rack is BC = 33 cm. Find the diameter of a ball.

6.648 cm.

What are the factor pairs of 23?