Aaron tracks the time it takes him to mow lawns by writing coordinate points relating x, the time in hours it takes to mow a lawn, and y, the area of land mowed in acres. Two of his points are (3, 1.5) and (5, 2.5). Which statement describes the slope of the line through these two points? It takes Aaron about 1 hour to mow 2 acres. Aaron’s rate for mowing lawns is 0.5 acres per hour. The ratio of acres to time is 5 acres to 3 hours. The rate to mow a lawn is 0.6 hours per acre.

Answer:

Step-by-step explanation:

Domain:  since x begins to the right of x = -2 and ends at x =2, the domain is  (-2, 2]

Range:  The smallest y value shown is y = -5 and the largest is y = 4.  Thus, the range is [-5, 4].

Answer:

8 and 7

Step-by-step explanation:

because the square root of something is something used in math

Answer:

[tex]\frac{1}{153}[/tex]

Step-by-step explanation:

There are a total of 7 + 9 + 2 = 18 balls in the vase, therefore, when not replacing the first ball, there would be 18 · 17 = 306 ways to pull 2 balls. There are 2 ways to choose the first black ball and then 1 way to choose the second black ball so there are 2 · 1 = 2 ways to choose 2 black balls. Therefore, the probability is 2 / 306 = [tex]\frac{1}{153}[/tex].

Answer:

hi

Step-by-step explanation:

1. Circle the two boats you picked for your trip.

the yacht and the tall ship (aka the pirate ship)

2. Make sense of the problem.

what do you know?

The tall ship makes the trip in 10 hours. The yacht makes the trip in 2.5 hours. The tall ship is 30 knots slower than the yacht.

what do you want to find out?

How fast is each boat traveling in knots (nautical miles per hour)?

what kind of answer do you expect?

probably just some numbers like 10 miles per hour or 40 miles per hour

Writing some expressions

3. Write an expression for the distance going to the island. Let x be the speed of the boat you are taking to the island. Distance is equal to speed times time. (2 points)

the expression would be D = 10(x-30), d is the distance. it could also be simplified to 10x - 300

4. Write an expression for the speed of the boat coming back from the island in terms of the other boat's speed. Let x be the speed of the boat you are taking to the island. (2 points)

so the yacht's speed would be S = x knots, s is for speed.

5. Write an expression for the distance returning from the island. Use the expression for speed you found in question 4. Remember that distance is equal to speed times time. (2 points)

the distance returning from the island would be D = 2.5x.

6. Each ship travels the same distance. Set the distances equal to each other to get the equation for the speed of the ship you are taking to the island. (1 point)

10x - 300 = 2.5x

7. Solve the equation from question 6 for x. What does this tell you? (5 points: 1 point for showing your work, 3 points for solving for x, 1 point for explaining the answer)

  10x - 300 = 2.5x  

10x - 300 + 300 = 2.5x + 300

  10x -2.5x = 300

   7.5x = 300

        x = 40

x is the speed of the yacht. (40 nautical miles per hour)

8. How fast does the second boat travel? Show your work. (2 points: 1 point for showing your work, 1 point for the answer)

the yacht travels at 40 nautical miles per hour and the tall ship travels at 100 (10x - 300) nautical miles per hour.

9. When you get to the island, you decide to take a kayak tour to a nearby reef. A kayak is a small boat you row with a paddle.

Find the speed for the kayak. Use one of these facts to help.

The steamboat's speed is 4 less than 8 times the speed of the kayak.

The tall ship's speed is 1 more than 3 times the speed of the kayak.

The yacht's speed is 5 less than 15 times the speed of the kayak.

Write and solve an equation for the speed of the kayak. Show your work. (5 points: 2 points for writing a correct equation, 3 points for the solution)

the equation for the speed of the kayak is 40 = 15x - 5, which in this case, x is the speed of the kayak

 40 = 15x - 5

  40 + 5 = 15x -5 + 5

 45 = 15x

   x = 3

therefore, the speed of the kayak is 3 nautical miles per hour.

10. The length of your trip to the island is 40 nautical miles less than 20 times the distance to the reef.

It's 2:00 p.m. now, and your boat leaves the island at 7:30 p.m. Will you be able to kayak to the reef and back by then?

If so, how long will you have to spend at the reef?

If not, how late will you be for the return trip?

Explain how you plan to solve this problem. Then solve the problem, showing all work. (5 points: 2 points for the explanation of the plan, 1 point for deciding if you will make it back to the island on time, and 2 points for determining either how long you can spend at the reef or how late you'll be)

the distance to the island is 100 nautical miles, so the expression would be 100 = 20x -40, with x being the distance to the reef.

we can solve for x by doing:

100 = 20x -40

100 + 40 = 20x - 40 + 40

140 = 20x

140 / 20 = x

    x = 7

so the distance from my starting point to the reef will be 7 nautical miles, and the distance from the island to the reef would be 93 nautical miles.in that case, I would be like a day and a half late, but if you are trying to say that the ship is waiting for me at the starting point of my "adventure", then I would not be late if I kayak from my starting point to the reef, in fact, I could stay at the reef for like 50 min, because:

7 / 3 = 2 1/3 hours.

2 1/3 x 2 = 4 2/3 hours or 280 min. (to the reef and back)

7:30 p.m. - 2:00 p.m. = 5 1/2 hours or 330 min. (how much time I have till the ship leaves)

330 - 280 = 50 min. (how many min I can spend at the reef)

This is for the people that want to find out how to find the distance to the island.

jamescodwell answered all the questions  correctly btw.

Step-by-step explanation:

Distance travelled divided by trip time = speed

trip time multiplied by speed = distance travelled

So the steamboat makes the trip in 5 hours travelling at a speed of 20 knots.

5 * 20 = 100 The trip to the island is 100 nautical miles.

Answer:

E=108

Step-by-step explanation:

[tex]E=mc^2\\\\m=3\\\\c=6\\\\E=(3)(6)^2\\\\E=3*36\\\\E=108[/tex]

Steps to solve:

E = mc^2 when m = 3 and c = 6

~Substitute

E = (3)(6)^2

~Simplify

E = 3(36)

~Multiply

E = 108

Best of Luck!

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{12\pi \: mm}}}}}[/tex]

Step-by-step explanation:

[tex] \star[/tex] Radius of a circle ( r ) = 6 mm

[tex] \star[/tex] Circumference of a circle ( C ) = ?

Finding the circumference of a circle having radius ( r ) of 6 mm

[tex] \boxed{ \sf{circumference \: of \: a \: circle = 2\pi \: r \: }}[/tex]

[tex] \hookrightarrow{ \sf{circumference = 2 \times \pi \: \times \: 6}}[/tex]

[tex] \hookrightarrow{ \sf{circumference = 12\pi \: \: mm}}[/tex]

Circumference of the given circle = 12π mm

Hope I helped!

Best regards ! :D

~TheAnimeGirl

Answer:

His rate would be 2.5 books per month

Answer:

$7075 or 7718

Step-by-step explanation:

91100-6200=84900

84900/11= 7718.18181818 or rounded= 7718

(This is if the december month doesnt count.)

84900/12=7075

(If december is included.)

Answer:

her monthly salary = 84900/12= 7075 dollars

Step-by-step explanation:

total earns= 91100 dollars

actual salary does not include bonus

her actually salary : 91100-6200= 84900

her monthly salary = 84900/12= 7075 dollars

Answer:

[tex]Rate = \$1.76/kg[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{16}kg[/tex] of nails costs [tex]\$ \frac{11}{100}[/tex]

Required

Determine the rate

The rate, in this case, will be calculated as:

[tex]Rate = \frac{amount}{weight}[/tex]

[tex]Rate = \frac{\frac{11}{100}}{\frac{1}{16}}[/tex]

This gives

[tex]Rate = \frac{11}{100}/\frac{1}{16}[/tex]

[tex]Rate = \frac{11}{100} * 16[/tex]

[tex]Rate = \frac{176}{100}[/tex]

[tex]Rate = \$1.76/kg[/tex]

Answer:

Answer:

Step-by-step explanation:

Given

of nails costs

Required

Determine the rate

The rate, in this case, will be calculated as:

This gives

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Only six states have two syllables in their name.

No, only six states have at least two syllables.

Here,

We have to check the given statement '' All state names have at least two syllables'' is true or false.

What are states which have at least two syllables?

There are only 6 states have at least two syllables.

1. Georgia.

2. Kansas.

3. New York.

4. Texas.

5. Utah.

6. Vermont.

Now,

There are only 6 states have at least two syllables.

Hence,

The given statement '' All state names have at least two syllables'' is false.

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Answer:

Step-by-step explanation:

First calculate how many pounds of apples you can buy for 20 dollars.

20/1.18 = 16.949 pounds

Now convert that to grams

1 pound = 454 grams

16.949   = x

Cross multiply

1 x = 16.949 * 454

x = 7694.915 grams.

Round to 3 digits

9690 grams.

Answer:

4!! hope this helps <3

Answer:

the answer is .5 i think

Answer: C) local maximum at x = -3; local minimum at x = 1/3

Step-by-step explanation:

Given the function:

f(x) = x^3 + 4x^2 - 3x - 4

Set f'(x) = 0

f'(x) = 3x² + 8x - 3

f'(x) = 0

3x² + 8x - 3 = 0

Using the quadratic function calculator :

x = - 3 or x = 1/3

Critical points = - 3 ; 1/3

To find the maximum and minimum points :

f''(x) = 6x + 8

Substitute the values of X in

At x = - 3

6(-3) + 8

-18 + 8 = - 10

At x = 1/3

6(1/3) + 8

2 + 8 = 10

Value of f''(x) at - 3 is negative, hence - 3 is the maximum point

Value of f''(x) at 1/3 is positive , hence 1/3 is the minimum point

Answer:

$130

Step-by-step explanation:

The person gets $13 and hour and works for 10 hours 15 minutes. You round down to 10 hours and 10x13=130.

Hope this helps.

The required wage or pay for the day of the weekly time card is $113.75.

Given that,
A table has been shown,
Describing the working hours,
pay per hour =  $13/hr.

Daily wage to be determined

In mathematics, it deals with numbers of operations according to the statements.

The process in mathematics to operate and interpret the function to make the function simple or more understandable is called simplifying and the process is called simplification.

Here are the total working hour,
= 4:00 + 4:45
= 8:45 hours or (8 + 3/4) hours

Wage per hour = $13/hour
                          = 13 *  35/4
                          = $113.75

thus, the required wage or pay for the day of the weekly time card is $113.75.

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Answer:

Step-by-step explanation:

Hello,

You need to group the terms in x

[tex]-2 \times x + \times x = (-2+5) \times x = 3 x[/tex]

And then, you can divide by 3 to find the solution

[tex]-2x+5x=3x=9<=>x=9/3=3[/tex]

Hope this helps

Answer:

add the x's

You have to combine them

you have to subtract the -2x to the 5x

The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.

Here,

Given that,  ( 3 x 1,000 ) - ( 2 x 100 )

What is subtraction of two number?

Subtraction is the operation of taking the difference of two numbers.

Now,

Firstly the value of 3 x 1000 = 3000

And, 2 x 100 = 200

⇒ 3000 - 200 = 2800

Hence, The value of ( 3 x 1,000 ) - ( 2 x 100 ) is 2,800.

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Answer:

-5 multiplied by positive five is your answer

Step-by-step explanation:

Hey there!

[tex]\text {Choose the expression that completes the equation}\\24/6+20=?[/tex]

To complete the equation, we will need to use the order of operations(PEMDAS). Let's start with division since that's the highest in the order.

[tex]24/6=4[/tex]

Now let's addition since that's all that is left.

[tex]4+20=24\\24(ANSWER)[/tex]

So now let's complete the equation.

[tex]24/6+20=24(ANSWER)[/tex]

Hope this helps!

[tex]\text {-TestedHyperr}[/tex]

Answer:

7 cookies

hope this helped you

please mark as the brainliest (ㆁωㆁ)

Answer:

The probability is 0.5714

Step-by-step explanation:

This is a probability question. We are interested in calculating the probability that a random electrical engineering student is from section A.

Mathematically the probability will be;

Number of electrical engineering students in section A/ Total number of electrical engineering students in both sections

Total number of electrical engineering students = 128 - 60 -40 = 28

Now let’s calculate the number of electrical students from section A

Number of mechanical and electrical = 50-18 = 32

Now, there are a total of 60 mechanical engineers and 44 in B; So the number of mechanical engineers in A = 60-44 = 16

So the number of electrical engineers in A = 32-16 = 16

So the probability will be;

16/28 = 4/7 = 0.5714

The complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Factorization is an arithmetic operation used in resolving an expression into factors in which when the factors are being multiplied together, the original expression can be derived. They produce factors that can be divided into the original expression.

Given that:

= 21a² + 28ab

here, we will look for a factor that if divide in both 21 and 28, there won't be any remainder. The factor is 7;

So, we have:

= 7(3a² + 4ab)

= 7a(3a + 4b)

Therefore, the complete factorization of 21a² + 28ab​ is 7a(3a + 4b)

Learn more about factorization here:

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Answer:

x =-3.5

Step-by-step explanation:

0.4x+3=0.2(3x+1)−x

Distribute

.4x +3 = .6x+.2 -x

Combine like tersm

.4x+3 = -.4x+.2

Add .4x to each side

.4x+3 +.4x = -.4x +.2 +.4x

.8x +3 =.2

Subtract 3 from each side

.8x+3-3 = .2-3

.8x = -2.8

Divide each side by .8

.8x/.8 = -2.8 /.8

x =-3.5

Answer:

x=-3.5

Step-by-step explanation:

Answer:

1) ident. prop. of mult.

2) add. prop. of add.

Step-by-step explanation:

have a good day!

Answer:

14: 16 is the ratio of girls to boys

And the ratio 14:30 is the ratio of girls to the total of students

Step-by-step explanation:

Answer:

Step-by-step explanation:

1.17/10

2.6/5

3.11/5

answers:

170% as a fraction is [tex]\frac{17}{10}[/tex] or 1 [tex]\frac{7}{10}[/tex]

120% as a fraction is [tex]\frac{6}{5}[/tex] or 1 [tex]\frac{1}{5}[/tex]

220% as a fraction is [tex]\frac{11}{5}[/tex] or 2 [tex]\frac{1}{5}[/tex]

hope this helps! best of luck <3

Answer:

-7.83333333333

Explanation:

To turn a fraction into a decimal divide the numerator by the denominator

-47 ÷ 6

= -7.83333333333

Answer:

Nell's mom's

Step-by-step explanation:

That's a lot even if you devide, you can see the difference easier

mom= 30/2 = 15

dad = 65/5 = 13

The lesser milk the mother had made her chocolate more chocolatery, and you can see that she has a 0.2 more than the father

Answer:

The correct answer is Nell's mom.

Step-by-step explanation:

Nell's mom makes chocolate syrup with 30 ml for every chocolate syrup for every 2 ounces of milk.

Nell's dad adds 65 ml of chocolate syrup for every 5 ounces of milk.

To compare who makes a more chocolaty drink we need to have same amount of milk.

Least common multiple of 2 and 5 is given by 10.

Thus in 10 ounces of milk, Nell's mom adds 30 × 5 = 150 ml of chocolate syrup.

In 10 ounces of milk, Nell's dad adds 65 × 2 = 130 ml of chocolate syrup.

Thus on comparison we can say Nell's mom adds more chocolate syrup and hence makes a more chocolaty milk.