Jamina drove for 2 hours at an average speed of 40km/h. She then drove for 3 hours at an average speed of 50km/h. What was her average speed for the whole journey?

284 rounded to the nearest hundred is 300.

What is a place value?

Place value, which is related to a digit's location in a number, is the amount that each digit is worth.

Given:

The number is 284.

To round the number to the nearest hundred:

The digit in the hundredth place is 8.

And 8 > 4.

So, the number left to the number 2 will increase by 1.

And the number right next to 8 will become zero.

So, the value of 2 becomes 2 + 1,

and the rest number becomes zero.

So, 284 rounded to the nearest hundred is 300.

Therefore, the result is 300.

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Option B - E, X is correct answer.

We have a cartesian coordinate plane and on that plane several coordinates are marked.

We have to determine which points are on the axes are 5 units from the origin.

What is Cartesian Coordinate System ?

A system in which the location of a point is given by coordinates that represent its distances from perpendicular lines that intersect at a point called the origin.

According to the question -

We have two axes - X and Y axis.

Points which lie on the axis are -  X, E, P, J.

It can be seen that the point E and X are at the distance of 5 units from the origin.

Hence, Option B is correct answer.

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Answer:

r = -4

Step-by-step explanation:

The slope of a line is given by

m= (y2-y1)/(x2-x1)

1/2 = (4-r)/(10 - -6)

1/2 = (4-r) (10+6)

1/2 =( 4-r) /16

Multiply each side by 16

16*1/2 = 4-r

8 = 4-r

Subtract 4 from each side

8-4= 4-r-4

4 = -r

Multiply each side by -1

-4 = r

Answer:

-4

Step-by-step explanation:

½ = (r - 4)/(-6 - 10)

½ = (r - 4)/(-16)

r - 4 = -8

r = -4

Answer:

1) x=9

edit:

2) x=25

Step-by-step explanation:

Since all angles added together in any triangles is 180,

we can conclude that

180=(7x-1)+(5x+2)+(7x+8)

solving for x:

180=19x+9

180-9=19x

171=19x

x=9

Edit:

2)since we are given the outside angle we have to find the inside one first before finding the other angles, a straight line is 180 degrees aswell, so 180-(3x-10) would give you the inside angle in terms of x

so adding them all together again should ewual 180:

180=(180-(3x-10))+25+(x+15)

180=180-3x+10+25+x+15

0=-2x+50

2x=50

x=25

The equation to determine the amount of left over kitchen shelving paper is; L = 53/4 - (21/2)x.

What is the definition of the mixed fractions?

• A mixed fraction is just a type of fraction that has both a whole number and a fractional part.
• An improper fraction may also be formed from a mixed fraction.

For the given question;

Martha purchased 6 kitchen shelves with shelving paper.

The length of 6 shelves is 1 3/4 feet = 7/4 feet.

Thus, the total length of the 6 shelving papers is 6× 7/4 = 21/2 feet

The corrected width of the shelving paper is 13 1/4 = 53/4 feet.

The equation to defined the left over papers 'L'.

Let number of shelves be 'x'.

L = 53/4 - (21/2)x.

Thus, the equation to determine the amount of left over kitchen shelving paper is; L = 53/4 - (21/2)x.

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The correct question is-

Martha is covering kitchen shelves with shelving paper. She has 6 shelves that are each 1 3/4 feet long. She buys 13 1/4 feet of shelving paper of the correct width. Which equation can be used to determine how much paper she will have left over?

The correct expression is 13 1/4 − 6(1 3/4) = S. You take the total amount you have and subtract how much you need, 6 shelves each 1 3/4 feet long.