Mathematics High School

Find the gradient of the line segment between the points (0,6) and (2,16).

Answers

Answer 1

Answer:

Step-by-step explanation:

The gradient is the ratio of the change in y to the change in x:

m = ∆y/∆x = (16 -6)/(2 -0) = 10/2 = 5

The gradient of the line segment is 5.

Related Questions

Is -52.45 rational or irrational

Answers

Answer:

rational

Step-by-step explanation:

it can be expressed as a fraction

Answer:

Rational

Step-by-step explanation:

Irrational numbers continue to go on forever and cannot be written as a fraction

A pillow that usually costs $18 is marked down 25%. Use the table to find the pillow’s new price.

Fill in the missing amounts to solve the problem.

100 percent is an 18 dollar original price, 25 percent markdown is a, and new price is b.

a =
b =

Answers

Answer:

In this case we can propose a rule of three:

$ 18 ---------------> 100%

x --------------------> 25%

Where x represents the discount made to the pillow:

So we have the new price (with the discount) is:

In addition, if 25% is discounted we have to, the price of the pillow is 75% of the original price. That is to say:

Step-by-step explanation:

Answer :

a= $4.50

b= $13.50

Step by step explanation: 1- find 25% of 18 which is 4.50. 2- subtract 18-4.50= 13.50

Caroline walked 5 kilometers due east, and then she turned around and walked 5 kilometers due west. How many kilometers is Caroline from her starting point?

Answers

Caroline is 0 kilometers from her starting point.

Remember Never Eat Soggy Waffles, or North East South West. She walks 5kms to the Right side and then turns back around to her starting point and walks 5kms back.

15x + 20xy = 5x(4y)
Are these two Equivalent

Answers

Answer:

Step-by-step explanation:

on the first equation there are two Xs

Can you please help me with this question and i will give you a Brainiest

Answers

The paperclip is a typical example of something with a mass of about a gram. The other items are significantly more massive. I'm in the US so I remember there are 28 grams in an ounce and 454 grams in a pound.

Answer: paperclip

A wallet that holds $25 contains the same number of $1 bills, $5 bills, and quarters. How many of each type of bill or coin does the wallet contain?
of each

Answers

Answer:

i can hold alot

Step-by-step explanation:

just do a lot

why do bees eat flowers

Answers

Answer:

Bees dont comanly eat flowers. They take the pollen and necture inside the flower to polenate OTHER flowers.

Step-by-step explanation:

most bees use pollen and nectar as a food source. Worker bees gather both pollen and nectar from flowers to feed to the larvae and other members of the colony.

Hope this helps a little

Answer:

Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them

Step-by-step explanation:

Actually bees do not eat flowers but they land on flowers to collect nectar while at the same time pollinating them

expand 3x(x² + 2x – 3)

Answers

Answer:

3x³+6x²-9x

Step-by-step explanation:

3x * x² = 3x³

3x * 2x = 6x

3x * -3 = -9

it should be A : 5*2*8*10

Evaluate 2(x - 4)+ 3x - x2 for x = 3.
A. 6
B. -2
C. 2
D. -6

Answers

Answer:

B. -2

Step-by-step explanation:

Simply plug 3 into the equation and follow the order of operations.

2(3 - 4) + (3(3)) - (3^2)

2(-1) + (9) - (9)

= -2

Answer:

B

Hope u get it right!!

help me pls What is the y-intercept of the line? as a coordinate pair

Answers

Answer:

(0,3)

Step-by-step explanation:

In three plays, a football team loses 5 yards and
then gains 32 yards by completing & pass. Then
a penally was called and the team kist 10 yards.
How many yards did the team actually gain?

Please give real work and explanations I’m giving away 20 points

Answer:

a, c

Step-by-step explanation:

Let's start with one of each choice. That'll be 3 * 4 * 3 * 3 * 10 = 1080 pizzas. As for the second one, this time the toppings won't be 10 it will be 10 * 9 * 8 because we have 10, and then 9, and then 8 topping choices. This gives us 1080 * 9 * 8 = 77,760. Hope this helps!

Answer:

Step-by-step explanation:

Well, we can multiply the choices that they gave us, which is 3 by 4 by 3 by 3 by 10, which will give 1080 for the first part. Now, if you was to do only 3 toppings, it should be 3 by 4 by 3 by 3 by 3, which would give us 324. I don't know if this is right but I think this is the right answer.

please help with math

Answers

Answer:

Step-by-step explanation:

Base area=108 square feet

V=BH=(108)(20)=2160 cubic feet.

answer using elimination will mark brainist
-4x+3y=-5
4x-5y=3

2x+3y=36
10x-6y=12

Answers

Answer:

Step-by-step explanation:

For Case -1

[tex]\Rightarrow -4x+3y=-5\quad \ldots(i)[/tex]

[tex]\Rightarrow 4x-5y=3[/tex]

[tex]\Rightarrow 4x=5y+3[/tex]

Put the value of [tex]4x[/tex] in equation [tex](i)[/tex] we get

[tex]\Rightarrow -(5y+3)+3y=-5[/tex]

[tex]\Rightarrow -5y+3y-3=-5[/tex]

[tex]\Rightarrow 2=2y[/tex]

[tex]\Rightarrow y=1[/tex]

and thus [tex]4x=5(1)+3[/tex]

[tex]x=\frac{8}{4}=2[/tex]

Case-2

[tex]10x-6y=12\quad \ldots(i)[/tex]

[tex]2x+3y=12\quad \ldots(ii)[/tex]

Now multiply [tex](ii) by 5 and subtract it from (i)[/tex]

[tex] 10x-6y=12[/tex]

[tex] 10x+15y=+180[/tex]

[tex]\cdots \cdots \cdots[/tex]

[tex]-21y=-168[/tex]

[tex]y=8[/tex]

and [tex]=6[/tex]

Distribute -2x\left(-10x+1\right).−2x(−10x+1)

Answers

Answer: honestly, I don’t know. This is a bot.

Step-by-step explanation: bbbbrrididjejejdidiekkekskdkd

The owner of a collector car sold the car at a auction. The owner bought it in 1977 when it's value was $7500. The value of the car increased at the rate of 5.5% per year. The auction took place in 2000. What is the approximate value of the car at the time of the auction.

Answers

Answer:

$25,695

Step-by-step explanation:

You can calculate the price of the car in 2000 using the formula to calculate the future value:

FV=PV(1+r)^n

FV= future value

PV= Present value: $7,500

i= rate: 5.5%

n= number of years: 2000-1977= 23

FV= 7,500*(1+0.055)^23

FV= 7,500*(1.055)^23

FV= 7,500*3.426

FV= 25,695

According to this, the approximate value of the car at the time of the auction is $25,695.

Twenty people apply for 5 job openings as teacher assistants. How many different groups of people can be hired?

Answers

Answer:

15504 different groups

Step-by-step explanation:

We have a total of 20 people, and we want to know how many groups of 5 people we can make, where the order of the people inside the group doesn't matter, so we can solve this question calculating the combination of 20 choose 5.

The formula for combination is:

C(n, p) = n! / (p! * (n-p)!)

In this case, we have n = 20 and p = 5, so:

C(20, 5) = 20! / (5! * 15!) = 20*19*18*17*16 / (5*4*3*2) = 15504

So we have 15504 different groups.

In 3 and 4, Classify each triangle by its sides and then by its angles

Answers

Answer:

3. Sides: Equilateral

Angles: Acute

4. Sides: Isosceles

Angles: Right

Step-by-step explanation:

3. Sides: Equilateral because in an equilateral triangle all sides are equal.

Angles: Acute because in an acute triangle all angles are acute.

4. Sides: Isosceles because in an isosceles triangle two legs are equal.

Angles: Right because in a right triangle, one angle is right.

A patient was supposed to take 560 mg of medicine, but took only 420 mg. What percent of the medicine did the patient take?

Answers

Answer:

75%

Step-by-step explanation:

When solving negative one over five (x − 25) = 7, what is the correct sequence of operations?

Multiply each side by negative one over five , add 25 to each side
Multiply each side by 5, subtract 25 from each side
Multiply each side by negative one over five , subtract 25 from each side
Multiply each side by −5, add 25 to each side

Answers

Answer:

Multiply each side by −5, add 25 to each side

Step-by-step explanation:

-1/5(x-25) = 7

Multiply each side by -5/1 to clear the fraction

-5/1* -1/5(x-25) = 7*-5/1

x-25 = -35

Then add 25 to each side

x-25+25 = -35+25

x = -10

A mixed bag of candy is 25% chocolate bars and 75% other filler candy. Of the chocolate bars, 50% of them contains caramel. Of the other filler candy, 10% of them contain caramel. What percent of candy contains caramel? *

Answers

Answer:

20% candy contains caramel.

Step-by-step explanation:

A bag of mixed candy has chocolate bars = 25%

and other filler candy = 75%

Let the 'c' represents the percentage of candy containing caramel in the bag of mixed candy.

Of the chocolate bars, percentage of candy containing caramel = 50% of 25%

Of the other filler candy, percentage of caramel candy = 10% of 75%

1c = 0.50(0.25) + 0.10(0.75)

= 0.125 + 0.075

= 0.2

By converting into percentage = 0.2 × 100 = 20%

20% candy contains caramel.

Kiyo is designing a rectangular garden with a 2-ft wide path all the way around it.
The length of the garden is 3 times as long as the width. Kiyo models the area of
his garden and the path with the equation f(x) = (x + 2)(3x + 2). Explain Kiyo’s error.

Answers

Answer:

38 ft

Step-by-step explanation:

Let x and (3x+2) represent the width and length respectively:

L + W = P/2 = 100/2 = 50

(3x+2) + x = 50

4x = 48

x = 12ft, the width, the length is 38ft

Answer: Kiyo only accounted for one side of the path when creating his equation. There are 2 feet of path on each side of the garden, meaning there should be 4 extra feet added to each expression multiplied.

Step-by-step explanation:

The rectangular path surrounding the garden is 2 feet on each side.

The length of the garden is represented by 3x, but when the length of the path is included, there is 2 feet of path on the left of the garden and 2 feet of path on the right.

Due to this, Kiyo made the mistake of only including 2 feet instead of the full 4 of the path by only accounting for one side of the path.

The correct equation is:

[tex]f(x) = (x+4)(3x+4)[/tex]

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