A rectangle has one side of 10cm. How fast is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

Answers

Answer 1
10x12 = 120
10x15 = 150
10x18 = 180 and so on.
The answer is that the area of the rectangle increase by 30 cm every minute!
Answer 2

30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

A rectangle has one side of 10cm

We need to find how fast is the area of the rectangle changing at the instant when the other side is 12 cm  and increasing at 3cm per minute

This can be written as A=10x

Now differentiate with respect to t.

dA/dt=10 dx/dt

increasing at 3cm per minute

dx/dt=3

dA/dt=10 (3)

dA/dt=30

Hence 30 is the area of the rectangle changing at the instant when the other side is 12 cm and increasing at 3cm per minute

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If there are 2 quarters for every 3 nickels,

then there are [tex]45*\frac{2}{3} =30[/tex] quarters.

If there are 2 dimes for every quarter,

then there are [tex]30*2=60[/tex] dimes.

If the number of pennies and nickels together are equal to the number of dimes, then there are [tex]60-45=15[/tex] pennies.

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4-5 ounces or 113-142 grams

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Which rate describes a unit rate of 6:1? A.) 12 tires for 3 cars B.) 30 miles for 5 hours C.) $35 for 5 set of markers D.) 45 miles in 9 hours​

Answers

Answer:

B.) 30 miles in 5 hours

Step-by-step explanation:

If you were to simplify all the ratios:

A) 12:3 divided by 3/3 is 4:1

B) 30:5 divided by 5/5 is 6:1

C) 35:5 divided by 5/5 is 7:1

D) 45:9 divided by 9/9 is 5:1

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What are the values of the two angles?

Answers

Answer:

the angle 3x is 42 degrees, the angle 12x-30=138 degrees

Step-by-step explanation:

first, write an equation to represent the problem.

3x+(12x-30)=180

3x+12x=210

15x=210

x=14

Answer:

See below:

Step-by-step explanation:

Hello! My name is Galaxy and I will be helping you today. I hope you are having a nice day.

We can solve this problem in 2 steps, one being Theory and the second being Solving. I'll start off with Theory.

Theory

There are many theorems in Geometry, from the very simple to the very complex, you also have got the standard information that is usually known by many people.

In this case, we can see that it is a Supplementary Angle. We know that Supplementary Angles add up to 180 degrees and Complementary Angles add up to 90 degrees.

Now that we know that we can solve the problem.

Solving

So, we know that both angles have to add up to 180 degrees because the line is a straight line and that means that the angles on it must be 180 degrees.

Since we know this, we can state the following equation:

[tex]3x+12x-30=180[/tex]

We can say this due to the rule of Supplementary angles adding up to 180 degrees.

We can now use Algebra to simplify the equation:

[tex]3x+12x-30=180\\3x+12x=210\\15x=210\\x=14[/tex]

After doing algebra we can see that x s equal to 14 degrees, we can check our answers by putting that back into the equation.

[tex]3(14)+12(14)-30=180?\\42+168-30=180?\\210-30=180?\\180=180[/tex]

We have proven that our answer is correct, therefore the answer is [tex]x=14[/tex] degrees.

Cheers!

Which sentence in this conclusion paragraph most clearly reminds the reader of the main points?

(1) As the evidence has shown, Faith is not only Goodman Brown's wife but also a symbol of his weakening faith. (2) He ignores her advice not to leave Salem, and he loses her in the woods, two events that show that his faith is fading
(3) Indeed, the ending of the story suggests that his faith is never restored.(4) In many ways, Goodman Brown's relationship with faith and Faith is a warning.


(A. Sentence 1
( B. Sentence 4
( C. Sentence 2
( D. Sentence 3

No links.​

Answers

Answer:

Step-by-step explanation:

I’m doing this too right now and can’t figure it out

The answer is A. Sentence 1

Solve the equations. 81^x^2=27^x

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Answer:  81ײ=27×     x = 6

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We have 7x - 3x - 2 + 1 = 8 + x - 3 - 3x
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Answer:

x=1

Step-by-step explanation:

Kross bought 3 cans of paint. The total was less than $60. How much was each can?
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Answers

1>$20 Is the answer for each can or 3>$60 for all three, un simplified.

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Step-by-step explanation:

two equations if you want an inequality

y = -3x + 60

3x <= 60

graph it and you get x = 20 which is your answer

A guidance counselor compiles data relating a student's English grade to the number of languages studied. The results are shown in the frequency table below. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 15, 110, 125. The third column is labeled lower than 90 with entries 105, 270, 375. The fourth column is labeled total with entries 120, 380, 500. The counselor converts the frequency table to a conditional relative frequency table by column. A 4-column table with 3 rows titled English grade versus number of languages studied. The first column has no label with entries English only, English and another language, total. The second column is labeled 90 or above with entries 0. 12, 0. 88, 1. 0. The third column is labeled lower than 90 with entries 0. 28, 0. 72, 1. 0. The fourth column is labeled total with entries X, Y, 1. 0. What is the value of X? 0. 16 0. 20 0. 24 0. 40.

Answers

Answer:

it's 0.24 because if you do 500/120 in the first data table it gives u 0.24 and bc I just took the test

The frequency table is used to find the relative frequency. The value of x is 0.24. Option C is correct.

How to find the relative frequency?

Relative frequency is the ratio of the considered sub-group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).

The given data from the table as follows;

The subgroup count of the column =  120

The total count = 500

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The relative frequency is found as;

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Therefore, the value of x is 0.24. So, Option C is correct.

To learn more about the frequency table;

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Answers

Answer:

D. 3x^2-10x+8

Step-by-step explanation:

[tex] \: \: \: \: \: [/tex]

D. 3x²- 10x + 8

hope it helps

refer to the attachment

[tex] \: \: \: \: \: [/tex]

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Answers

[tex]\\ \sf\longmapsto x-5/3=1[/tex]

[tex]\\ \sf\longmapsto x=1+5/3[/tex]

[tex]\\ \sf\longmapsto x=3+5/3[/tex]

[tex]\\ \sf\longmapsto x=8/3[/tex]

Done

[tex]\sf \longmapsto \: x- \dfrac{5}{3} =1[/tex]

Simplify both sides of the equation

[tex]\sf \longmapsto \: x + \dfrac{ - 5}{ 3} = 1[/tex]

Add 5/3 to both sides

[tex]\sf \longmapsto x + \dfrac{ - 5}{3} + \dfrac{5}{3} = 1 + \dfrac{5}{3} [/tex]

[tex]\sf \longmapsto \: x = \dfrac{8}{3} [/tex]

[tex] \boxed{\sf { \red{ x = \dfrac{8}{3}}} }[/tex]

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Answer:

In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.

Answer:

In chemistry, a dehydration reaction, also known as Zimmer's Hydrogenesis, is a chemical reaction that involves the loss of water from the reacting molecule or ion. It is the most common type of condensation reaction. Dehydration reactions are common processes, the reverse of a hydration reaction.

Step-by-step explanation:

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Refer to the attachments.

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D is the answer to the question

A fruit basket contains oranges and grapefruits. 1/3 of oranges and 1/4 of the grapefruits were spoiled. You threw away 4 oranges and 7 grapefruits. How many pieces of fruit were in the basket before you threw out the spoiled ones?

Answers

Answer:

Below.

Step-by-step explanation:

1/3 is equivalent to 4 oranges so number of oranges = 3 * 4 = 12.

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Answers

4
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Kayla is serving vegetables at a soup kitchen. She has 18 carrot sticks and 12 baby potatoes that she
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Step-by-step explanation:

Triangles ABC has vertices A(1,-1) B(1,-5) and C(5,-5). A dilation with a scale factor of 0.25 and true center at (-3,3) is applied to the triangle. What are the coordinates of A’B’C’ in the dilated image?

Answers

Answer:

A'(-2, 2)B'(-2, 1)C'(-1, 1)

Step-by-step explanation:

For scale factor k and center of dilation (p, q), the transformation is ...

  (x, y) ⇒ (kx +(1-k)p, ky +(1-k)q)

For k=1/4 and (p, q) = (-3, 3), the coordinates are transformed to ...

  (x, y) ⇒ (1/4x -9/4, 1/4y +9/4)

Then the preimage points are dilated to ...

  A(1, -1) ⇒ A'(1/4 -9/4, -1/4 +9/4) = A'(-2, 2)

  B(1, -5) ⇒ B'(1/4 -9/4, -5/4 +9/4) = B'(-2, 1)

  C(5, -5) ⇒ C'(5/4 -9/4, -5/4 +9/4) = C'(-1, 1)

Given: 3x < 3.



Choose the solution set.

{x | x > 0}
{x | x < 0}
{x | x > 1}
{x | x < 1}
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Answers

Answer:

Divide 3 on both sides to get x < 1

Step-by-step explanation:

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Answer:

For the first row, it's 6, 12, 18, 24, 30

Second row: 4, 8, 12, 16, 20

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Keith spent $8 on tomatoes. How many did he get? ​

Answers

Answer:

its got 6

Step-by-step explanation:

I REALLY DONT KNOW

Answer:

Step-by-step explanation:

Let t be the unit cost of the tomatoes:  e. g., t = $1.25/lb.

If Keith spent $8 on tomatoes, the number he bought would then be

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------------- = 6.4 lb of tomatoes

$1.25/lb

Of course he couldn't buy 0.4 tomato, but this method of calculating how many tomatoes he could buy theoreticallyl is correct.

The general formula would be

   $8

------------   and the end result would be the number of pounds Keith could

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