A plot consists of a rectangular garden measuring 8 m by 10 m, surrounded by a
path of constant width, as shown in the diagram.
The total area of the plot (garden and path) is 143 m2.
Find the width of the path. Use x to represent the width of the path.

Answer:

initial value = 3

rate of change = 0.01

Step-by-step explanation:

we can represent this as a linear equation:

y = 0.01x + 3

the initial value is the value of y when x = 0; we can find this by setting x to zero and evaluating for y, which gives us 3. Our initial value is 3.

The rate of change, of slope of this graph, is 0.01, as it is the constant multiplier of x.

Hare Krishna! :)

Answer:

35

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Answer:

351 squared feet

Step-by-step explanation:

multiply by 9

Answer:

16.

Step-by-step explanation:

^

Answer:

The mechanic does 4 oil changes in 2 hours. How many oil changes Can the mechanic do in 8 hours. My answer is16 oil changes. 4 x 2 =8 and 8+8=16.

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

Answer:

12.5 minutes

Step-by-step explanation:

Since the cyclist is biking a certain distance in 25 minutes, (which we don't know), and the pedestrian is traveling 2 times slower,

the speed of the pedestrian would be 25/2

25 / 2 = 12.5 minutes

Answer: B

Step-by-step explanation:

This is a vertical line, meaning it fails the vertical line test, and thus cannot be a function.

Answer:

12x+10

Step-by-step explanation:

pls mark brainliest

Answer:

0.01

Step-by-step explanation:

0.0

Answer:

math organization and the other one day is the best way to get a runner up

the answer to your question is 72

https://brainly.com/question/2952247

I messed up, so here's the answer.

Answer:

40° and 100°

Step-by-step explanation:

An obtuse triangle has one obtuse angle, or an angle that measures more than 90° but less than 180°. Options 1 and 2 are not correct, because these are acute angles.

So, one of the angles must be 40°, and the other may be 100° or 120°.

The measures of the angles in a triangle add up to 180°

40° + 40° + [tex]x[/tex] = 180°

80° + [tex]x[/tex] = 180°

[tex]x[/tex] = 180° - 80°

[tex]x[/tex] = 100°

The other two angles are 40° and 100°.

Answer:

Fishing boats  - 5   10   15   20   25   30   35   40   45   50   55   60   65  70

Speeed Boats - 4    8    12   16    20   24   28   32   36  40   44   48    52  56

Thanks!

for some reason, your whole question isn't seen, you didn't type it in, so I just made this chart for you!

It takes them 12 hours to design a total of 7 logos if they both start working at the same time

This is the amount per unit time.

Since one graphic designer takes 3 hours to design a logo. Her less experienced colleague takes 4 hours to design a logo, we need to find the rate at which the work is done.

Now, since we require the time to desigh 7 logos, this time is T = number of logos/combined rate

= 7 logos ÷ 7/12 logo/hr

= 12 hr

So, it takes them 12 hours to design a total of 7 logos if they both start working at the same time

Learn more about time here:

https://brainly.com/question/25173515

The cost of 1 apple and 5 mangoes is $6.15.

Let's look at how to form and solve simultaneous equations in a word problem.

Assuming that the cost of each apple and mango is equal in both packs.

Let the cost of an apple be a and that of a mango be m.

10a +5m= 12 -----(1)

15a +4m= 14.15 -----(2)

Steps for solving equations with two variables

Working

Here, I am making the value of the coefficient of m constant.

(1) ×4:

40a +20m= 48 ----(3)

(2) ×5:

75a +20m= 70.75 -----(4)

Moving on to step 2, we can eliminate the m term by subtracting equation (3) from (4). When the sign of the terms are equal, we use subtraction to eliminate the term. On the other hand, if one of the sign is positive and the other is negative, adding the two equations together will eliminate the term (provided that you have already ensured that the magnitude of the coefficient is equal).

(4) -(3):

75a +20m -(40a +20m)= 70.75 -48

Expand:

75a +20m -40a -20m= 22.75

Simplify:

35a= 22.75

Let's continue with step 3, where we solve for a.

a= 22.75 ÷35

a= 0.65

The cost of an apple is $0.65.

Now, moving on to step 4!

Substitute a= 0.65 into (1):

10(0.65) +5m= 12

6.5 +5m= 12

5m= 12 -6.5

5m= 5.50

5 mangoes costs $5.50.

Cost of 1 apple and 5 mangoes

= $0.65 +$5.50

= $6.15

Thus, the cost of 1 apple and 5 mangoes is $6.15.

Answer:

2 < AB < 18

Step-by-step explanation:

Answer:

The range is from [tex]18[/tex] to [tex]2[/tex] (greatest to least)

[tex]2 < x < 18[/tex]

Step-by-step explanation:

we know that

The triangle inequality theorem, states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side

Let

x-----> the length of the third side AB of triangle ABC

Applying the triangle inequality theorem

case A)

[tex]8+10 > x[/tex]

[tex]18 > x[/tex]

Rewrite

[tex]x < 18[/tex]

case B)  

[tex]8+x > 10[/tex]

[tex]x > 10-8[/tex]

[tex]x > 2[/tex]

The solution for the range of possible side lengths of the third side is the interval

[tex](2,18)[/tex]

so

[tex]2 < x < 18[/tex]

All real numbers greater than [tex]2[/tex] and less than [tex]18[/tex]

The number [tex]2[/tex] and the number [tex]18[/tex] are not included in the solution

Answer:

1560

Step-by-step explanation:

First (2 1/2)/(1/4) = (5/2)(4) = 20/2 = 10

Next, 3/(1/4) = 3(4) = 12

Lastly, (3 1/4)/(1/4) = (13/4) x 4 = 52/4 = 13

This means we need 10 rows of 12, 13 high. 10(12)(13) = 1560 cubes.

Another way is to multiply 2 1/2 x 3 x 3 1/4 = 5/2 x 3 x 13/4 = 195/8

A 1/4 inch cube is 1/4 x 1/4 x 1/4 for a volume of 1/64

(195/8)/(1/64) = (195/8)(64) = 1560 cubes.

Answer:

P>_5(10)^t

P<_1,000

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

4x8=32

4x8=3236-4=32

Hence, the equation is true.

Answer:

17.5 acres

Step-by-step explanation:

Let the areas of A, B, and C be 2x, 3x, and 5x, respectively,

then 2x = 3.5 acrea, x = 3.5/2 acres

Total area is 2x + 3x + 5x = 10x = 10 * 3.5/2 = 17.5 acres

Answer: 11u - 44

Step-by-step explanation:

11u - 44.

You have to distrubute the 11 to everything inside the parenthesis. So it becomes 11*u or 11u and 11*-4 or -44.

Answer:

11u - 44

Step-by-step explanation:

11(u - 4)

We have to distribute

(11 × u) + (11 × -4)

11u - 44

Answer:

"." is a symbol called a period, it is typically used to mark the end of a sentence that has a main clause which contains a subject and a verb. In informal conversations that involve visible text ".....", which is a combination of many periods, is often used to show a long pause. This is the type seen in the question you asked.

Hope this helps!

Answer:

StepStep-by-step-by-step explanation:

Answer:

The angle of x is 83°

Step-by-step explanation:

A straight line has a total of 180°. That means if you can figure out what the third angle on the bottom is (the one in the middle) you can add 41 to it and subtract that from 180. Since all the lines are straight you can say that the middle angle on the bottom is the same as the middle angle on the top. So:

180° - (41° + 56°) = 83°

Answer:

7 units

Step-by-step explanation:

If you want to get from (2, -4) to (9, -4) you have to move 7 units to the right. (9 - 2 = 7)

Answer:

7 units.

Step-by-step explanation:

Step-by-step explanation:

Step 1- convert 25% into a decimal

Step 2- Multiply 34,400.00 x 0.25

            Which should give you $8600.00

Step 3- Then subtract 34,400.00 from 8600.00

              Which will give you $25800.0

The The thing to remember is Multiply with the discount then subtract your answer from the original price of the item.

Hope This Helps !!

Answer:

1/6 or 0.1667

Step-by-step explanation:

Probability of one number out of 12 is 1/12. So the probability of getting either 9 or 2 is 2/12=1/6