The dots in the diagram are 1 unit apart. What is the longest segment that can be drawn between two of the dots without

How do you solve 5 3/7 ÷ 5/11

Artyom0805 [142]

Answer:

11 33/35

Step-by-step explanation:

5 3/7 = 5 × 7/7 + 3/7 = 35 + 37 = 38/7

38/7 ÷ 5/11 = 38/7 × 11/5 = 38 × 11/7 × 5 = 418/35

418/35 = 11 33/35

Hope this helps!

6 0

4 years ago

Does 5.2 belong with irrational or rational numbers?

Dominik [7]

Answer:

The correct answer is "rational" . It is not an "integer" because it is a "decimal value". It is not "irrational" because the decimal value terminates and does not repeat.

7 0

3 years ago

A number pattern starts with 10 and follows the rule multiply by 3 What is true

lesya692 [45]

Answer:

B) They have a 0 in the ones place.

Step-by-step explanation:

Given

Number pattern that starts with 10.

Rule: Multiply by 3

Required

Select which statement is truth of the pattern.

First, the pattern needs to be listed out.

Given that the pattern starts from 10 and progresses by multiplying current term by 3.

The pattern is as follows;

10, 30, 90, 270, 810, 2430, 7290, .....

By comparing the given options with the above pattern of numbers. We have:

A) They are odd numbers.

This statement is false because the above pattern of numbers are all even and can never be odd

B) They have a 0 in the ones place.

This statement is truth because all the numbers in the above progression ends in 0. This 0 represents the unit of one's place.

Hence, this statement is truth.

C) They have a 3 in the tens place.

This statement is false;

This is so because they have different digits at tens place. The tens place is the digit prior to the last digit of each number.

D) They can be odd or ever numbers.

As pointed out in (A) above, the number can only be even number because the progression starts with an even number (10) and irrespective of what it's been multiplied by, it'll always remain an even number.

Hence,

Only option B is correct/truth.

Others are incorrect

3 0

3 years ago

Shona spins a spinner with three equal-sized spaces—red, green, and yellow—and then rolls a six-sided die numbered from 1 to 6.

telo118 [61]

<h2>Answer with explanation:</h2>

<u>Sample size--</u>

It is the collections of all the possible outcomes of an event.

(A)

It is given that:

Shona spins a spinner with three equal-sized spaces—red, green, and yellow and then rolls a six-sided die numbered from 1 to 6.

This means that the possible outcomes are given as follows:

(Red,1) (Green,1) (Yellow,1)

(Red,2) (Green,2) (Yellow,2)

(Red,3) (Green,3) (Yellow,3)

(Red,4) (Green,4) (Yellow,4)

(Red,5) (Green,5) (Yellow,5)

(Red,6) (Green,6) (Yellow,6)

This means that the total number of outcomes are: 18

Hence, the sample size for this compound event is: 18

(B)

If the spinner has four colored spaces.

Let the fourth color be: Blue

Then the possible outcomes are given by:

(Red,1) (Green,1) (Yellow,1) (Blue,1)

(Red,2) (Green,2) (Yellow,2) (Blue,2)

(Red,3) (Green,3) (Yellow,3) (Blue,3)

(Red,4) (Green,4) (Yellow,4) (Blue,4)

(Red,5) (Green,5) (Yellow,5) (Blue,5)

(Red,6) (Green,6) (Yellow,6) (Blue,6)

Hence, the total number of outcomes are: 24

The sample size of this compound event would be 24.

8 0

4 years ago

What is the slope-intercept form of the equation y - 7= -5/2(x+4)

GREYUIT [131]

The first thing I would probably do is distribute (multiply) the -5/2 into the parenthesis:

= (-5/2)x + (-20/2)

Notice how I am not putting the x into the fraction. This is to make it easier to see the slope-intercept form.

Lets simplify the (-20/2) and then add 7 to both sides:

y - 7 = (-5/2)x - 10

y = (-5/2)x - 3

Your answer would then be:

y = (-5/2)x - 3

y = mx + b

Since it is now in the requested format.

4 0

3 years ago