MATHEMATICS HIGH SCHOOL

Find the slope of the line passing through (3,6) and (5,2)

Answers

Answer 1

Answer:

Answer:-2

Step-by-step explanation:

slope = rise / run

y2-y1/x2-x1

(3,6) is the first set of coordinates

(5,2) is the second set of coordinates

2-6/5-3= -4/2= -2

Answer 2

Answer:

Answer: the slope is -2/4

Step-by-step explanation: m is the variable for slope.

$m=(rise)/(run) =(3-5)/(6-2)=(-2)/(4)$

I think so. Not 100% sure because I just learned this content in pre-algebra class.

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ava is 23 cm taller than olivia, and olivia is half the height of lucas. if lucas is 1.78 m tall, how tall are ava and olivia? express thier heights in cm

Answers

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Further explanation:

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia and the height of olivia is half of the height of lucas.

Consider the height of ava, olivia and lucas as $x,y$ and $z$ .

The height of the lucas is given as $1.78\text{ meter}$ .

This implies that the value of $z$ is as follows:

$\boxed{z=1.78}$

Since, the height of lucas is given in meter so, it is necessary to convert the unit into centimeter.

The height of lucas is converted into centimeter unit as follows:

$\begin{aligned}1\text{ meter}&\rightarrow 100\text{ centimeter}\n1.78\text{ meter}&\rightarrow 1.78*100=178\text{ centimeter}\end{aligned}$

Since, the height of olivia is half of the height of lucas so, the equation formed is as follows:

$\boxed{y=(z)/(2)}$

Substitute $178$ for the $z$ in the above equation.

$\begin{aligned}y&=(178)/(2)\n&=89\end{aligned}$

Therefore, the value of $y$ is $89$ .

This implies that the height of olivia is $89\text{ centimeter}$ .

It is given that height of ava is $23\text{ centimeter}$ more than the height than the height of olivia so, the equation formed is as follows:

$\boxed{x=23+y}$

Substitute $89$ for $y$ in the above equation.

$\begin{aligned}x&=23+89\n&=112\end{aligned}$

This implies that the height of ava is $112\text{ centimeters}$ .

Thus, the height of ava and olivia is $\boxed{112\text{ cm}\text{ and }89\text{ cm}}$ respectively.

Learn more:

1. Learn more about problem on coordinate of the graph brainly.com/question/1286775

2. Learn more about problem on equations brainly.com/question/1473992

3. Learn more about problem on triangles brainly.com/question/7437053

Answer details:

Grade: Middle school

Subject: Mathematics

Topic: Problems on Ages

Keywords: Age, height, ava, olivia, lucas, tall, meter, centimeter, unit, conversion, 1.78, value, half of height, taller than olivia, ava is 23 cm.

First, we must find the height of olivia.

1m = 100cm (given, metric system)

178/2 = 89cm (olivia is 89cm tall)

Ava is 23cm taller than Olivia, so 89 + 23 would be our next step.

89 + 23 = 112cm tall

Olivia: 89cm
Ava: 112cm

Write an algebraic expression for two fifths the cube of a number

Answers

n - the number

$(2)/(5)n^3$

Ms. Leong owned an ice cream store and had chocolate and vanilla ice cream for sale. She sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. If she had 20 scoops of chocolate ice cream and 30 scoops of vanilla ice cream left, how many scoops of ice cream did Ms. Leong have altogether at first?

Answers

Answer: 140 scoops.

Step-by-step explanation:

We know that she sold 3/4 of the chocolate ice cream and 1/2 of the vanilla ice cream. She originally had 20 scoops of chocolate and 30 of vanilla left.

so those 20 scoops of chocolate are 1/4 of the total amount that she had before, then the total amount is equal to 4 times 20 scoops = 80 scoops of chocolate.

We also know that 30 scoops of vanilla are one half of the initial number, so the initial number must be equal to two times 30 scoops = 60 scoops.

Now, adding those numbers we have 60 + 80 = 140 scoops in total at the beginning of the day.

The answer is 140 scoops of ice cream total .

Ronnie wants to buy a computer table that measures 10 feet by 17 feet. The cost of the table is 16.00 per square feet. How much will it cost Ronnie to buy the computer table for his study room?

Answers

Measurement of table:
Length=17 feet
Width=10 feet
As we know that the table will be in rectangular shape.
So, Area of table= 10 feet × 17 feet
170 squared feet.
A/Q,
Cost of 1 square feet table =16($ or any unit of currency)
Cost of 170 square feet= 16×170($)
2720($)

The given dimensions are 10 ft and 17 ft
Now looking at the dimensions, we can assume it is rectangular in shape and therefore the formula of the area of a rectangle is:
Area = length × width
(length = 17 ft (longest side) and width = 10 ft)
1st step: Substitute the dimensions in the formula:
A = L × W
= 17 × 10 (order doesnt matter!)
= 170 ft²
Coming to the cost, 1 ft² costs 16 (lets keep it £, or €, or $, since the unit is not provided)
2nd step: We multiply the area by the cost to find the total amount!
(Because every squared feet is 16 and therefore we conclude with this formula)
Cost = 170 ft² × 16£
= £2,720
Ronnie will have to pay £2,720 (or any other currency units)

a rectangular garden has dimensions of 100 feet by 10, next season, the garden decreased to 2/5 of its size. what is the scale of the drawing for the new garden

Answers

Answer: 40 ft by 4 ft

Step-by-step explanation:

See attached picture

What is each number in scientific notation?
0.00000000005
show how you got your answer

Answers

NAMASTE :)

0.00000000005

= 5 × ${10}^( - 11)$

Count the Digits after decimal.
We use minus (-) in power as the digit is in left side of decimal

If they are in right side then we use (+) plus sign in power.

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