The
The table shows the average daily number of hours sleep of 10 children.
Age (years)
6 1 3 8 4 5 2 7 9 7
Number of hours sleep 12.5 15 13.2 11 14 12 14 11.69.8 11
The first eight results have been plotted.
a) Plot the next two points.
x
Number of hours sleep
b) What type of correlation is shown
by the graph? Negative
10
c) Draw a line of best fit.
2
4
6
8
10
Age (years)
Please help.

Definition:

A line is a one-dimensional figure, characterized by its length but no width (thickness). A line is made of a set of points which is extended in opposite directions infinitely.

A line is determined by two points in a two-dimensional plane such as the x-y plane.

The graph of a function can be represented by a line because all points on the line provide a solution to the function. Such functions are usually linear functions.

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Answer:

Step-by-step explanation:

Sum of all three angle in a triangle=180

Given angles are 35°,45°

Let the remaining angle =x

So 35 +45+X=180

X=180-80

X=100°

Remaining angle =X=100° is the answer

Let's solve your equation step-by-step.

2x+9=8x+21

Step 1: Subtract 8x from both sides.

2x+9−8x=8x+21−8x

−6x+9=21

Step 2: Subtract 9 from both sides.

−6x+9−9=21−9

−6x=12

Step 3: Divide both sides by -6.

-6x/-6=12/-6

x=-2

Answer:

-2 = x

Step-by-step explanation:

First, combine like-terms. I subtracted 21 from both sides and subtracted 2x from both sides. This gave us 12 = -6x. Then, divide to solve for x. This gives us -2 = x.

Hope this helps! Let me know!

Answer:

B

Step-by-step explanation:

if it is a vertical line, x=1 for all values of y

Answer:it’s B i just took this

Step-by-step explanation:

Answer:

f(x)=1/2(x-4)^2+2

Answer:

26/24

Step-by-step explanation:

you multiply 1 by 8 and 6 by three as well as 3 by 8 and 8 by three to get 8/24 and 18/24 . now that you have a common denominator, you can add the two together to get 26/24

Answer:

nosoulutions

Step-by-step explanation:

Answer:

There are no solutions.

Step-by-step explanation:

Answer:

The three numbers are 19, 18, and 31.

Step-by-step explanation:

The three numbers are x, y, and z.

y=x-1

z=2y-5

z=x+12

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

y=18

z=31

The three numbers are 19, 18 and 31

Algebra is the branch of mathematics that helps in the representation of problems or situations in the form of mathematical expressions.

let the three numbers be x, y, and z.

So, according to question

The second of three numbers is one less than the first,

y = x-1

The third number is 5 less than twice the second,

z=2y-5

also, If the third number exceeds the first number by

12z=x+12

Now, equating the equations

2y-5=x+12

2(x-1)-5=x+12

2x-2-5=x+12

x=19

So, y=18 and z=31.

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Answer:

all real numbers

Step-by-step explanation:

It gives me 0

Answer:

no

Step-by-step explanation:

there are 2 1's in that function

Answer:

252

Step-by-step explanation:

because there are 14 chairs at each table => there are: 294/14= 21 (tables)

two chairs will be removed from each table => the number of chairs removed are: 21.2 = 42 (chairs)

the chairs  will be left in the cafeteria are: 294 - 42 = 252( chairs)

When two chairs will be removed from each table, then there would be 252 chairs left in the cafeteria.

Dividend = Divisor × Quotient + Remainder.

For given question,

total number of chairs = 294

there are 14 chairs at each table.

So, to find the number of tables in the cafeteria we need to divide total number chairs by 14.

The number of table would be,

= 294/14

= 21

This means, there are 21 tables.

If we remove two chairs from each table, then number of chairs at each table would be 14 - 2 = 12

So, the total number of chairs left in the cafeteria would be,

= 21 × 12

= 252

Hence, there will be 252 chairs left in the cafeteria.

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Answer:

54 miles

Step-by-step explanation:

86 - 22= 64. 64÷2= 32. BIANCA RAN 32 MILES. 32 + 22= 54. kiera ran 54 miles

Bianca ran 32 miles last month while Kiera ran 54 miles (22 more) for a combined total of 86 miles.

Let x = miles Bianca ran

x + 22 = miles Kiera ran

combined total of their miles is 86 miles

x + (x + 22) = 86

solving for x

2x + 22 = 86

2x = 86 - 22

2x = 64

x = 64 / 2

x = 32

therefore, Bianca ran for 32 miles.

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Part 1

Pizzas sold last day = 65

Increasement needed in sale = 20%

pIzzas to be sold today

= 65 + 20% of 65

= 65 + 20/100 × 65

= 65 + 1/5 × 65

= 65 + 1/1 × 13

= 65 + 13

= 78

Part 2

Pizzas sold last day = 65

Pizzas sold today = 60

60 = 65 + x% of 65

60 = 65 + x/100 × 65

60 - 65 = x/20 × 13

- 5 = x/20 × 13

-5/13 = x/20

-5/13 × 20 = x

-7.692 = x

Therefore, there was a decrease in pizza sale by 7.692%

By rounding off,

The decrease in pizza sale was by 7.700%.

= 7.7%

Answer: Yes

Step-by-step explanation:

Area = sxsxsxs

= 3ft x 2ft x 1 ft x 5 ft

= 30 ft

Answer:

48 hours

Step-by-step explanation:

So one Pipe can fill an empty pool in 12 hours, and a drain can empty the pool in 16 hours.

So let's just say that x is the value for how much the pool was filled, and y is the time taken.

So which means :

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

[tex]\frac{1}{12}[/tex] represents the volume of the tank being filled up in one hour while [tex]\frac{1}{16}[/tex] represents the volume of the tank being drained in one hour. By subtracting, we get to know the volume of the tank being filled up in one hour.

So, we solve the equation.

To find X, we make the denominator of the two fractions the same.

X = [tex]\frac{1}{12}y[/tex] - [tex]\frac{1}{16} y[/tex]

= [tex]\frac{1(4)}{12(4)}y[/tex] - [tex]\frac{1(3)}{16(3)}y[/tex]

= [tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex]

Then, we subtract.

[tex]\frac{4}{48}y[/tex] - [tex]\frac{3}{48}y[/tex] = [tex]\frac{1}{48}y[/tex]

[tex]\frac{1}{48}[/tex] is the volume of the pool that is filled in one hour

Finally, we find the time taken for the pipe to fill the pool.

If one hour fills [tex]\frac{1}{48}y[/tex] of the pool, then :

1 = [tex]\frac{1}{48}y[/tex]

y = 48 hours.

So, the time taken for the pipe to fill the pool with the drain left open is 48 hours.

[tex]\mathfrak{\huge{\pink{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the Ratio and Proportions.

Thus the equivalent ratio to 8:5 will be,

24:15 , 40:25 and 16:10

because, here if we reduce by common multiple 24:15 , 40:25 and 16:10 both , we will get as 8:5

so the correct answer is c.) 40:25 and e.) 16:10 b.) 24:15

Select all ratios equivalent to 1:2

Step-by-step explanation:

Answer:

37.5

Step-by-step explanation:

It is really a simple equation, you are only dividing.

Hope this helps! ;)

Answer:

3.451, 3.452, 3.453, 3.454, 3.455, 3.456, 3.457, 3.458, 3.459, 3.460

Answer:

24 individuals

Step-by-step explanation:

Since we are given the actual costs as well as the final total then we can calculate the total number of people that attended the party by doing the following. We first subtract the fixed cost of $120 by the total cost of the party, and then we divide the remainder by the cost per person, which would give us the number of people who attended (x) ...

($480 - $120) / $15 = x

$360 / $15 = x

24 = x

Finally, we can see that a total number of 24 individuals attended the party

Answer:

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

Answer:

2(100 − x)

Distribute the 2:

2(100) − 2(x).

Multiply within each term:

200 − 2x.

The expression 2(100 − x) expands to 200 − 2x.

Step-by-step explanation:

Mark me brainliest please?

Answer:-5 is the x-intercept, -4 is the y

Step-by-step explanation:y intercept is when x=0, and the other way around

Answer:

yup

Step-by-step explanation:

Answer:

z = 108

Step-by-step explanation:

9 x 12 = 108

Answer:

I got youuuuuuu, its 108

Answer:

3 years old

Step-by-step explanation:

( 21 + 24 + 18 + 15 + 15 + x ) / 6 = 16

93 + x = 96

x = 3

The person who entered the room is 3 years old.

Answer:

3 years old

Step-by-step explanation:

x= age of the person who entered the room

The sum of 21,+ 24,+ 18,+ 15,+ 15 = 93

(93+x )     divided into 6 = 16

Multiply both sides by 6

93+x = 96

x=3

 93+3= 96

96/6 = 16

Step-by-step explanation:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Answer:

This is a guess but wouldn't you multiply each side by (0.8)

12(0.8)= 9.6

10(0.8) =8

10(0.8)=8

16(0.8)= 12.8

perimeter= all sides added together

9.6+8+8+12.8= P

P=38.4?

Step-by-step explanation:

I did this so you can mark the other guy brainliest, its their answer and they deserve all the credit. Make sure to thank them!

Answer:

Not directly proportional

Oh and can you give me brainliest