Suppose y varies inversely with x. If y = 150 when x = 2, find y when x = 25.

x = a number

6(x+5)=16

Answer:

If you're using x for "a number" then: 6(x+5)=16

Step-by-step explanation:

A fence for a rectangular garden with one side against an existing wall is constructed by using 60 feet of fencing.

Perimeter of rectangle (3 sides)= 60 feet

Let 'x' be the width of the wall

[tex]Perimeter = 2(length)+2(width)\\60=2(length)+2x\\\\60-2x=2(length)\\\frac{60-2x}{2} =length\\Length =30-x[/tex]

Formula for the area of the rectangle is

[tex]Area=length \cdot width\\A=length(x)[/tex]

Replace the length we got using perimeter

[tex]A=(30-x)(x)\\A(x)= 30x-x^2[/tex]

To find out the maximum are we take derivative

[tex]A'(x)= 30-2x\\0=30-2x\\-30=-2x\\x=15[/tex]

find out second derivative to check whether x=15 is maximum

[tex]A''(x)=-2[/tex]

second derivative is negative

So, Maximum area at x=15

To find maximum area we plug in 15 for x in A(x)

[tex]A(x)=30x-x^2\\A(15)=30(15)-15^2\\A(15)=225[/tex]

So, maximum area is 225 square feet

Answer:

3

Step-by-step explanation:

y=11-8

=3

Answer:

3

Step-by-step explanation:

y+8=11

y=11-8

y=3

therefore the ans is 3

Division is one of the four fundamental arithmetic operations. The number of batches of cookies to make from a bag of flour is 40.

Division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.

Given that a bag of flour contains ten cups of flour. And one batch requires 1/4 cup of flour. Therefore, we can write,

The number of cups of flour in a bag = 10 cups of flour

The number of cups required to make one batch of cookies = 1/4 cup of flour

The number of batches of cookies can be made with a  bag of flour is,

Number of Batches = 10 cups of flour / 1/4 cup of flour per batch

                                = 40 batches

Thus, the number of batches of cookies to make from a bag of flour is 40.

Learn more about Division here:

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Step-by-step explanation:

We can simplify the polynomial x² + 5x + 6 as (x + 2)(x + 3)

Let me know what are you looking for regarding this polynomial!

Answer:

(x+2)(x+3)

Step-by-step explanation:

x^2+5x+6

x^2+(2+3)x+6

x^2+2x+3x+6

x(x+2)+3(x+2)

(x+2)(x+3)

Answer:

false FALSE FALSE FALSE

Answer:

-4

Step-by-step explanation:

Answer:

Is -65

Step-by-step explanation:

Used a calculator

Step-by-step explanation:

x=-7 so 11x becomes 11 x-7

11 x -7=-77

y=-3 so -4y becomes -4 x -3

-4 x -3=-12

-77-12=-89

I hope it helps!

Answer:

oh i have done these before but this one is a little confusing bc i got 2 answers B or C

Answer:

Step-by-step explanation:

h(g(x))

g(x)= 3x + 1

h(3x + 1) = 4(3x + 1) = 12x + 4

Answer:

11 and 12, closest to 11

Step-by-step explanation:

The square root of 130 falls between 11 and 12

Since 11 squared is 121 and 12 squared is 144.

130 is closer to 121, making it closer to 11 than to 12.

Hope this helps :)

Answer:

6

Step-by-step explanation:

Because 5.8 is closer to 6 than it is to 5.

6

If you want to round to the nearest whole number, the answer would be 6. Remember, if the number right after the decimal is higher than 5, you want to round up, if the number is lower that 5, you will want to round down. I hope this helped!! :)

Answer: $10.33

Step-by-step explanation:

Given: Julio is payed 1.2 times his normal hourly rate for each hour he works over 30 hours in a week.

Last week he worked 40 hours ( > 30 hours by 10 ) and earned $495.60.

Let r = Julio's hourly rate

if he worked over 30 hours in a week, then hourly rate = 1.2r

According to the question

[tex](1.2r)\times 40=495.60\\\\\Rightarrow\ r=\dfrac{495.60}{1.2\times 40}\\\\\Rightarrow\ r=10.325\approx10.33[/tex]

Hence, his hourly rate = $10.33

Solution:

w(x) = 2(x + 2) + 5

w(x) = 2x + 4 + 5

w(x) = 2x + 9

Best of Luck!

Answer:

The maximum number of text messages you can send per month would be 23.

Step-by-step explanation:

1. First, you want to create an inequality from the word problem.  You know that $24.99 is a constant, so we won't put any variables next to it.  You also know that each text message is $0.17, so that would need a variable since it can change each month.  You also know that you can spend $29 maximum each month, so that goes on the other side of the inequality.  Your inequality will look like this:  0.17x+24.99≤29 (x is the number of text messages).

2. Second, you want to solve for x.  To do this, subtract 24.99 from each side.  After this, the equation is 0.17x≤4.01

3. Now, divide each side by 0.17.  Now your inequality is x≤23.59.  This represents how many text messages you can send per month without going over 29.

4. Finally, you have to realize that is impossible to send exactly 23.59 text messages.  So, you have to round down to 23 to get an even number of text messages, and that's your answer!

Hope this helps!  Feel free to ask any questions :)

Answer:

Option A:

x=20 and y=120

Answer:

A. 20, 120

Step-by-step explanation:

[tex](4x - 20) \degree = 3x \degree..(vertical \: \angle 's) \\ 4x - 20 = 3x \\ 4x - 3x = 20 \\ \huge \orange { \boxed{x = 20}} \\ \\ 3x \degree + y \degree = 180\degree .. (straight \: line\:\angle 's) \\ 3 \times 20 \degree +y \degree = 180 \degree \\ 60 \degree + y \degree = 180 \degree \\y \degree = 180 \degree - 60 \degree \\y \degree = 120 \degree \\ \huge \red { \boxed{y = 120}}[/tex]

Answer:

Andrew's test score if he got 8 questions wrong = 64 points

Andrew's test score if he got x questions wrong = 80 - 2x

Step-by-step explanation:

Total points of the multiple choice test = 80

Each question = 2 points

Total questions = Total points of the multiple choice test / 2 points

= 80/2

= 40

Total questions = 40

A. What would be Andrew's test score (out of 80) if he got 8 questions wrong

If he got 8 questions wrong out of 40 questions

= Total question points - wrong question points

= 40*2 - 8*2

= 80 - 16

= 64 points

Andrew's test score if he got 8 questions wrong = 64 points

B. What would be his score if he got x questions wrong?

Test points if he got x questions wrong = Total question points - wrong question points

= (40 * 2) - (x * 2)

= 80 - 2x

Andrew's test score if he got x questions wrong = 80 - 2x

Answer:

162.56

Step-by-step explanation:

Answer:

the 2nd answer.

Step-by-step explanation:

8*8 = 64.

-8 * -8 = 64

Hey there! I'm happy to help!

First, let's find the radius. The radius is half of the diameter.

8.4/2=4.2

Here's how to find the area of a circle.

Square the radius.

4.2²=17.64

And multiply by pi (3.14 in our case)

17.64(3.14)=55.3896

We round to the nearest tenth, giving us an area of 55.4 ft²

Have a wonderful day! :D

Answer:

4.30m/hr

Step-by-step explanation:

2 feet/8.5 mins is 0.235294118 feet per minute, which is 4.3030553875397 metres per hour, which to 2 s.f. is 4.30

In meters per hour the speed is 470 meters per hour.

We have an object moving at a speed of 2 feet every 8.5 minutes.

We have to express this speed in meters per hour.

1 feet = 3.29 meters

1 hour = 60 minutes → 1 minute = [tex]\frac{1}{60}[/tex] hour = 0.017 hr

According to question - We have :

Speed = 2 feet in 8.5 minutes

We know -

1 feet = 3.29 meters

2 feet = 2 x 3.29 = 6.58 meters

and

1 minute = 0.017 hr

8.5 minutes = 8.5 x 0.017 = 0.14 hr

Now -

In 0.014 hr, distance covered = 6.58 meters

In 1 hr, distance covered will be - [tex]\frac{6.58}{0.014}[/tex] = 470 meters/hour

Hence, in meters per hour the speed is 470 meters per hour.

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Answer:

False

Step-by-step explanation:

[tex](-x)^{6}[/tex] = [tex]x^{6}[/tex]

- [tex]x^{5}[/tex] = - [tex]x^{5}[/tex]

Thus

[tex](-x)^{6}[/tex] ≠ - [tex]x^{5}[/tex]

Answer:

[tex]L = 0.83\ in[/tex]

Step-by-step explanation:

Given

Width = 1.2 in when Length = 1 in

Required

Determine the length when width = 1 in

First, we need to determine the ratio:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1.2}{1}[/tex]

[tex]Ratio = 1.2[/tex] --- (1)

Let the required Length be represented with L

So:

[tex]Ratio = \frac{Width}{Length}[/tex]

[tex]Ratio = \frac{1}{L}[/tex] --- (2)

Equate (1) and (2)

[tex]\frac{1}{L} = 1.2[/tex]

Multiply through by L

[tex]L * \frac{1}{L} = 1.2 * L[/tex]

[tex]1 = 1.2 * L[/tex]

Divide through by 1.2

[tex]L = \frac{1}{1.2}[/tex]

[tex]L = 0.83\ in[/tex] (Approximated)

Answer:

Step-by-step explanation:

6 ties

Half of 20 is 10, and half of 4 is 2

Therefore, 4+2=6

Answer:

6 ties

Step-by-step explanation:

Answer:6:2

Step-by-step explanation:

Answer:

how many batches you need to know? If 2 batches the answer is 6:2 and if 4 batches it is 12:4

Answer: The answer is 30x-2y

Step-by-step explanation: Subtract 4x from 34x to get 30x. Then the rest just falls down and you are left with 30x-2y. Also can you please give me a brainliest. I really need one.

Answer:

x = 1/2 or x = -5/2

Step-by-step explanation:

Solve for x over the real numbers:

abs(12 x + 12) = 18

Hint: | Eliminate the absolute value.

Split the equation into two possible cases:

12 x + 12 = 18 or 12 x + 12 = -18

Hint: | Look at the first equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

12 x = 6 or 12 x + 12 = -18

Hint: | Solve for x.

Divide both sides by 12:

x = 1/2 or 12 x + 12 = -18

Hint: | Look at the second equation: Isolate terms with x to the left hand side.

Subtract 12 from both sides:

x = 1/2 or 12 x = -30

Hint: | Solve for x.

Divide both sides by 12:

Answer: x = 1/2 or x = -5/2