Question 1: Imagine that we are measuring rain fall with a rain gauge. It is raining
at a rate of 1.25 inches per hour and after 5 hours, there are 6 inches of rain in the
gauge.
How much rain will be in the gauge in 11 hours

Answer:

1) y = 3/5x + 8

2) Slope: 10

   y-intercept: -1/3

3) y = -1/2x - 1

Step-by-step explanation:

1) The equation you need to refer to for this problem is y = mx+b

m = slope (3/5 for this problem)

b = y-intercept(which is 8)

plug those numbers in and you get y = 3/5x + 8

2) look back at this equation: y = mx+b

10 is the slope and -1/3 is the y-intercept

3) This one is a bit more difficult as you need two other formulas to solve:

the slope formula, y1 - y2/x1 - x2, and the point-slope formula,

y - y1 = m(x - x1)

For this problem, you have the coordinates (4, -3) and (6, -4) which you would plug into the slope formula, like this:

-3 -(-4)/4 - 6 = -1/2

the numbers 1 and 2 in this formula refer to the first (x,y) value and the second. You subtract the two y values and the two x values, simplify, and you get your answer.

-1/2 is going to be the m, or slope, that you will use in the second formula, the point slope formula, y - y1 = m(x - x1)

To solve this you choose one of the original coordinates that you were given to plug into the y1 and x1, and plug -1/2, your slope, in for m:

(keep in mind, for this, I used (4,-3) but you can use either one)

y -(-3) = -1/2(x - 4)

To solve this you, first, distribute -1/2 to x and -4 inside the parentheses:

y -(-3) = -1/2x + 2

Then, on the other side, add the to negatives to get a positive 3:

y + 3 = -1/2x + 2

and subtract 3 from both sides:

y = -1/2x - 1

I hope this isn't too confusing

good luck!

Answer:

H

Step-by-step explanation:

4x-4=-x-1 = 3/5 or .6

Answer:

8x · 32

Step-by-step explanation:

u multiply the 8 and the x together and it gets 8x

then u multiply the 8 and the 4 and then ur done

Answer:

3.2x

Step-by-step explanation:

Answer:

GCF of the numbers is 3 and it can be written as 3(1+5)

Step-by-step explanation:

Given the expression 3+15

First we need to find their factors

3 = 3×1

15 = 3×5

Since 3 is common to both factors, hence the GCF is 3

Factorize

3+15

= (3×1)+(3×5)

Factoring 3 out

= 3(1+5)

Hence the GCF of the numbers is 3 and it can be written as 3(1+5)

Answer:

5 /448

Step-by-step explanation:

Radius in drawing = 1 9/16 in

The actual length of rope = 11 2/3 feets

Converting actual length to inches :

1 feet = 12 inches

11 2/3 feets = (11 2/3) * 12 = 140 inches

To obtain the scale used, we divide the Radius in the drawing by the actual length :

1 9/16 ÷ 140

25 /16 ÷ 140

25 /16 * 1 /140

= 25 / 2240

= 5 /448

Hence, scale is 5 /448 times the actual length of drawing

Hence :

The scale used is :

1 feet = 7.4666 inches

Answer:

5/488

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Gina is four years younger so

18+4=22

since its twice davids age

22×2=44

Answer:  

E and B

Step-by-step explanation:

Answer:

Its b

Step-by-step explanation:

The number line is saying people spend 70 n below.

Answer:

El primer número es 10.

z = 45.

La edad de Jaime es de 3 años.

Step-by-step explanation:

Estos problemas los podemos resolver planteando las ecuaciones:

El triple del número (3X) + 9 veces el mismo número (9X) = 120

3X + 9X = 120

12X = 120

X = 120 / 12

X = 10

La quinta parte de z es z/5 la quinta parte de su tercera parte es (z/5)/3 = 3

z/15 = 3

6Jaime + 18 = 36

6Jaime = 18

Jaime = 3

Answer:

no.both are equal.

Step-by-step explanation:

72 km/h=72000/(60×60)=20m/s

Answer:

They are equal

Step-by-step explanation:

72 Kilometers per Hour equals the same as 20 Meters per Second.

Answer:

450

Step-by-step explanation:

i think thats right

Answer:

H) -6/13  

Step-by-step explanation:

To find the slope of the line between a pair of two points, use the slope formula, [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]. Substitute the x and y values of (12,7) and (-14,19) into the formula and simplify like so:  

[tex]m = \frac{(19)-(7)}{(-14)-(12)} \\m =\frac{19-7}{-14-12} \\m = \frac{12}{-26} \\m = -\frac{6}{13}[/tex]

So, Option H is correct.

Answer:

The answer is B

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi,

I am quite good at maths and will be happy to help you, not just in Algebra, but any other topics in maths

Answer:

s = c + 15

s + c = 27

substitute for s:

(c + 15) + c = 27

2c = 12

c = 6

s = 21

The system of equation which correctly represents the situation is s + c = 27 and s - c = 15.

Linear equations involve one or more expressions including variables and constants and the highest exponent of the variable is 1.

System of linear equations involve two or more linear equations.

Given that,

Combined total of sheep and cows = 27

Number of sheep = Number of cows + 15

Let s represents the number of sheep and c represents the number of cows.

s + c = 27

s = c + 15 ⇒ s - c = 15

Hence the system of equation is s + c = 27 and s - c = 15.

Learn more about System of Equations here :

https://brainly.com/question/24065247

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Answer:

15

Step-by-step explanation:

Pythagorean Theorem

Answer:

can you specify how fast the car is going? if the car goes 35 miles per hour and the trip is 3 hours its 105 miles in total for your trip. I hope this helps.

The total time that the car will take to cover the trip would be {x}/35 hours.

Distance in kinematics is defined as the product of speed and time.

Mathematically, we can write distance covered as -

distance = speed x time

Given to find the time duration of trip if the car is travelling at 35 miles per hour.

Assume that the total distance that has to be travelled by the car is {x}

miles. From the formula of distance covered, we can write that -

distance = speed x time

time = distance/speed

time = x/35

Therefore, the total time that the car will take to cover the trip would be {x}/35 hours.

To solve more questions on distance covered, visit the link-

https://brainly.com/question/20271103

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Answer:

4

Step-by-step explanation:

1. AB:BC is 1:2

2. Add the 1 and the 2

(3)

3. Find the distance between -7 and 26

26-(-7) = 33

4. Divide the distance by 3

33/3 = 11

5. Find the distance from A---->B

-7 + 11 = 4

Answer: 333.33km

Step-by-step explanation:

Average speed is calculated as:

= Distance / Time

Since Alex takes 30 minutes to travel 50 km in her car, Alex average speed will be:

= 50km / 30minutes

= 50km / 0.5hour

= 100km/hour

Since Alex drives at an average speed that is 2/5 of the average speed that Roy's train travels. Roy's average speed will be:

= 100 ÷ 2/5

= 100 × 5/2

= 250km/hour

Since Roy travels for 1 hour and 20 minutes on his train, his distance travelled will be:

= Speed × Time

= 250 × 1 hour 20 minutes

= 250 × 1 20/60

= 250 × 1 1/3

= 250 × 4/3

= 1000/3

= 333.33km

Roy travels 333.33km

Answer:

Step-by-step explanation:

Answer:

35

Step-by-step explanation:

1kg= 1000g

1 hectare = 10 000 m²

1 kg/hct = 1000/10 000 g/m²

1 kg/hct = 1 / 10 g/m²

350 kg per hectare is equal to 350 / 10 = 35 g/m²

Answer:

a

Step-by-step explanation:

Answer:

20

Step-by-step explanation:

Let's list some multiples of each denominator

5: 5, 10, 15, 20, 25, 30

10: 10, 20, 30, 40, 50, 60

4: 4, 8, 12, 16, 20, 24, 28

The common denominator (LCD) is 20

So lets input

20 / 20, 2/20, 15/20

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

uh i think its a uhhh carrotttt

Step-by-step explanation:

Answer:

the height is 9

Explanation:

8 × 10 = 80

720 ÷ 80 = 9

Answer:

m

Step-by-step explanation:

Answer:

show the options

Step-by-step explanation:

Brainliest?

Answer:

6

Step-by-step explanation:

Find out how many boys makeup the class.

100% = 40

1% = 40 ÷ 100 = 0.40

40% = 0.40 x 40 = 16

Find 25% of the class.

25% = 0.40 x 25 = 10

40 - 25 = 15% of the boys wear shirt jacs.

16 - 10 = 6