Geometry!
Use the diagram of triangle MNO where, X, Y, and Z are the midpoints of the sides.

Answer:

1. 1+6

2. 2+5

3. 3+4

4. 4+3

5. 5+2

6. 1+6

Step-by-step explanation:

Constant rates are used to illustrate linear functions.

(a) The average rate of change

This is calculated using:

[tex]\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}[/tex]

[tex]\mathbf{Rate = \frac{9}{1.0}}[/tex]

[tex]\mathbf{Rate = 9.0}[/tex]

Hence, the average rate of change is $9.0 per hour

(b) A function that models the table of values

Let x represent hours, and y represent the earnings.

So, we have:

[tex]\mathbf{y =m (x - x_1) + y_1}[/tex]

Where:

m =Rate = 9.0

So, we have:

[tex]\mathbf{y = 9(x - 2.5) + 22.5}[/tex]

Expand

[tex]\mathbf{y = 9x - 22.5 + 22.5}[/tex]

[tex]\mathbf{y = 9x }[/tex]

Represent as a function

[tex]\mathbf{f(x) = 9x }[/tex]

Hence, the function that models the table is: [tex]\mathbf{f(x) = 9x }[/tex]

(c) Amount earned for 7.5 hours

This means that x = 7.5

So, we have:

[tex]\mathbf{f(7.5) = 9 \times 7.5 }[/tex]

[tex]\mathbf{f(7.5) = 67.5}[/tex]

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

https://brainly.com/question/23184115

Answer:

x = -24 + 3y

Step-by-step explanation:

Answer:

Either 2.34 or 2.345

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

It touches the y-axis (one y - intercept)

It also touches the x-axis( one x-intercept)

-Chetan K

Answer:

£48

Step-by-step explanation:

Area of walls = area of four rectangular walls + area of two triangular shape at front and back

Area of a rectangular wall = l *w = 8 * 4 = 32 m²

Area of 4 rectangular walls = 4 *32 = 128 m²

Triangle:

Base = 6m

height = h = 7 - 4 = 3 m

Area of triangle = (1/2)*b*h

                          [tex]= \dfrac{1}{2}*6*3 = 3*3 = 9 \ m^{2}[/tex]

Area of 2 triangles = 2*9 = 18 m²

Area of four walls = 128 + 18 = 146 m²

Number of paint tins required = 146 ÷ 25 = 5.84 = 6

6 tins are required.

Cost of 6 tins = 8 * 6 = £48

Answer:

a

Step-by-step explanation:

Answer:

First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example

Step-by-step explanation:

Answer:

answer is 400060

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Answer:

4000,060

answer explanation : when you add 4 times 100,000 ypu get 400,000 and now you get 400,000 and now you are going to muptiple 4,000,6 and 10.000 which is equal to 4,000,060

Answer:

213.7°

Step-by-step explanation:

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

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Part A: 135

Part B: 213.7  

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[RevyBreeze]

MATE!

213.7°

The bearing of B from D is angle ADB,  Thus, ∠ADB = arctan(30/45) ≈ 33.7°

The bearing of D from B is that angle plus 180°, Thus, 180° +33.7° = 213.7°

Part A: 135

Part B: 213.7  

Answer: 8/175

Step-by-step explanation:

Answer: 8/175

Step-by-step explanation: to multiply fractions, multiply both numerators first then the denominators.

4x2=8

35x5=175

Answer:

Slope is represented by the letter M and the y-intercept is represented by the letter B and is where the graph intersects the y axis.

Step-by-step explanation:

y = mx+b, where y and x are variables and m is the slope and b is the y-intercept

Hope that helps

Using the principle of proportional relationship, the amount in pounds of Grow better Fertilizer exceeds the required amount of Feed all Fertilizer. Hence, more of Grow better Fertilizer would be needed.

Feed - All Fertilizer :

2 pounds = 100 foot row

x pounds = 450 foot row

Cross multiply

100x = 900

Divide both sides by 100

x = 900 / 100

x = 9 pounds

Grow better Fertilizer :

25 pounds = 1000 foot rows

x pounds = 450 foot rows

Cross multiply

1000x = 450 × 25

1000x = 11250

Divide both sides by 1000

x = 11250 / 1000

x = 11.25 pounds

Hence, Cala will need more of Grow better Fertilizer.

Learn more : https://brainly.com/question/25677544

Answer:

Answer:

1

Step-by-step explanation:

If the plane goes 250 per HOUR, then it will take that one hour to get to 250

Answer:

10

because when you plus 3+7 is 10

Answer: 12 students

Step-by-step explanation:

Let X and Y stand for the number of students in each respective class.

We know:

X/Y = 2/5, and

Y = X+24

We want to find the number of students, x, that when transferred from Y to X, will make the classes equal in size. We can express this as:

(Y-x)/(X+x) = 1

---

We can rearrange X/Y = 2/5 to:

X = 2Y/5

The use this value of X in the second equation:

Y = X+24

Y =2Y/5+24

5Y = 2Y + 120

3Y = 120

Y = 40

Since Y = X+24

40 = X + 24

X = 16

--

Now we want x, the number of students transferring from Class Y to Class X, to be a value such that X = Y:

(Y-x)=(X+x)

(40-x)=(16+x)

24 = 2x

x = 12

12 students must transfer to the more difficult, very early morning, class.

Answer:

D because that the only that make sense

Step-by-step explanation:

Answer:

perpendicular

Step-by-step explanation:

Parallel lines have equal slopes

The product of the slopes of perpendicular lines = - 1

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 4x + 3 ← is in slope- intercept form

with slope m = - 4

x - 4y =  8 ( subtract x from both sides )

- 4y = - x + 8 ( divide through by - 4 )

y = [tex]\frac{1}{4}[/tex] x + 2 ← in slope- intercept form

with slope m = [tex]\frac{1}{4}[/tex]

Since the slopes are not equal the lines are not parallel

- 4 × [tex]\frac{1}{4}[/tex] = - 1

Then the lines are perpendicular

Answer:

8.125 inches

Step-by-step explanation:

Ok so basically what you needed to do was this

Find out what was the value like this 3 1/4 = 3.25 and 2 1/2 = 2.5

Then you will do

3.25 x 2.5 and get your answer

8.125

There you go! Have a Wonderful Day

Answer:

960 ounces in 1 day

(Sorry for a late response, I just logged on)

Step-by-step explanation:

Most of that information is negligable (not important) besides 8 ounces in 12 minutes.

so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get

40 ounces in 1 hour

a day is 24 hours, so if we multiply both sides by 24 well get our answer

960 ounces a day

-- Gage Millar, Algebra 1/2 tutor

Answer:

960 ounces

Step-by-step explanation:

First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:

8/12 = x/60

And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.

Answer:

Answer is d

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

There are 24 students

1 student = 250 ml

24 students = 250ml x 24

= 6000 ml

To convert from millilitres to litres, divide by 1000

6000ml = 6000/1000l = 6 litres

2litres = 1 bottle

6 litres = 6/2 = 3 bottles

Therefore, she will need 3 2-litre bottles of soda

Answer:

The answer is 3

Step-by-step explanation:

Answer:

It would be 2 times the old perimeter.

Answer:

8:16

Step-by-step explanation:

Answer:

The answer is 5x + 25

Explanation:

Apply distribution

distribute 5 to the equation inside the parenthesis

5x + 5 × 5

5x + 25

Answer:

m

Step-by-step explanation:

Answer:

Δ = 349

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 ) , then the discriminant is

Δ = b² - 4ac

9x² + 5x - 9 = 0 ← is in standard form

with a = 9, b = 5 , c = - 9 , then

b² - 4ac

= 5² - (4 × 9 × - 9)

= 25 - (- 324)

= 25 + 324

= 349

Answer:

y = 14

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

Step-by-step explanation:

You have to travel 101 miles. On the first day, you traveled 3 miles. How many miles do you need to travel each day after that to reach your destination in 7 days?

7y=98

y=14

Answer: 14

Step-by-step explanation:

First you do 3 - 3 which cancels each other out.

2nd step :

you do 101 - 3 which equals 98

3rd step :

Divide 98 by 7 and your final answer is 14 !! <3