MATHEMATICS MIDDLE SCHOOL

Payton plays 15 games of fortnight in 15 minutes. If he maintains this rate, how many games will he play in 3 hours

Answers

Answer 1

Answer:

Payton will play 180 games in 3 hours.

Step-by-step explanation:

Given,

Games played in 15 minutes = 15 games

We will find unit rate;

15 minutes = 15 games

Dividing both sides by 15

$(15)/(15)\ minutes=(15)/(15)\ games\n\n1\ minute = 1\ game$

Time = 3 hours = 3*60 = 180 minutes

180 minutes = 180*games per minute

180 minutes = 180*1 games

180 minutes = 180 games

Payton will play 180 games in 3 hours.

Keywords: unit rate, multiplication

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Solve for q

- 3/4q = 12

q = ___

Answers

$\text{We know: } \n \boxed{(\ -3\ )/(\ 4\ )*q=12 } \n \n q=12: (\ -3\ )/(\ 4\ ) \n \n q=12* (\ 4\ )/(\ -3\ ) \n \n q= \frac{\ 48\ } {\ -3\ } \n \n q=-16 \n ********** \n \n \text{Check:}\n \n \boxed{ (-3)/(4)*-16=12 } \n \n (48)/(4) =12 \ TRUE$

$(-3)/(4q)=12$
Multiply by q to eliminate var in denominator
$( \not q*(3))/(4 \not q) =q*12$
$q= (-3)/(4) =q*12$
Common denominator is 4
$( \not 4(-3))/( \not 4) =4q*12$
$-3=4q*12$
$-3=48q$
Divide by 48
$q=( \not 3)/( \not 4 \not 8)$
$q=-16$
The answer is: $q=-16$

Prime numbers between 30 and 40

Answers

31,37
........................

The prime numbers between 30 and 40 are: 31 and 37.

D_31={1, 31}

D_37={1, 37}

Harry just moved into his new house he had 318 boxes to unpack he unpacked 2/6 of the boxes in the first week he unpacked 1/2 of the boxes in the second week how many boxes did he have left to unpack the third week

Answers

so

2/6 of 318=106

so 106-1/2 or 106/2=53

So he has 53 boxes left

Given the coordinates (0,0) and (4,1), the distance is:

Answers

Answer:

4 left and 1 up

Step-by-step explanation:

idk if u meant it like that or not?!? i hope i helped

Answer:

Use the distance formula to determine the distance between two points.

Distance = 5.099

43 and 962 ten thousandths in standard form?

Answers

43.962

Example:
14,494
To round off the height value to the nearest thousand we can use the expanded from to clarity the position of numbers which is:
10, 000 = ten thousand
4, 000 = thousands
400 = hundreds
90 = tens
4 = ones
Here we can notice than four thousand is the value where the nearest thousands is placed. Hence we can round off the number of 14, 494 into 14, 000. Notice 0-4 rounding off rules.

Find the equation of the line that goes through the points (4, –1) and (2, –5).Use slope formula,m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction,to find the slope of a line that passes through the points.

Answers

Answer:

y = 2 x - 9

Step-by-step explanation:

slope = difference of y / difference of x

m = (-5 - (-1)) / (2 - 4) = -4 / -2 = 2

pass point (4 , -1)

y = mx + b b: y intercept

b = y - mx = -1 - 2 x 4 = -9

equation: y = 2 x - 9

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