if a =1 + r + 7r and b = 1 -r ,find an expression that equals A+ 3B in standard form. Answer: ​

Answer:

B. 1. x^6

2. -6a^7

3. r^11

4. x^6

5.a^3b^6

6.x^14

7. 12y^8

8. 55x^4y^6

9. 30m^4n^4

10. 6a^10b^6c^16

C. 1. 40m+60n-810

2. 12am^2 - 8an- 16al^3+4ap

3. 2xmn-3ymn-4zmn

4. 20bx^2-8bx+20b

5. -28xa+4xb-14x

6. y^2 - 4

7. 4x^2 - 16

8. 16b^2 - 4

9. 25a^2-49

10. 9m^2-49

Answer:

10 miles

Step-by-step explanation:

Find how much she runs during one track practice by dividing 8 by 4. This gives you the equation 2x, with x being the number of track practices.

Answer: 10 miles after 5 track practices.

Step-by-step explanation: Lets find the unit rate of this problem. Remember that unit rate means the denominator will always have a 1.

8/4 converted to a unit rate is 2/1

The unit rate is 2 miles per every 1 track practice.

We can use the unit rate to solve how many miles Leslie would have ran after 5 track practices.

2/1 x 5 = 10/5

So, Leslie would have ran 10 miles after 5 track practices.

Answer:

IMS aka infintely many solutions :)

Step-by-step explanation:

2x+4(x-6)=3(2x-8)

distribute

2x+4x-24=6x-24

combine like terms

6x-24=6x-24

carry across equal sign

6x=6x

carry across equal sign

0=0 aka IMS

Answer:

No solutions I think

Step-by-step explanation:

2x + 4(x -6) = 3(2x -8)

2x + 4x -24 = 6x - 24

6x - 24 = 6x - 24

-6x +24  -6x +24

0 = 0

Hopefully this helped :)

Answer:

The answer is -5 and 5 because when you do absolute value if there is a negative number then it turns into a positive number. Negatives will always turn out as positives when doing absolute value. :)

Step-by-step explanation:

Answer: the two numbers that have the same absolute value is -5, and 5.

Step-by-step explanation:

Absolute will just make any negatives to positive.

So, the absolute value of -5 is 5,  or the absolute value of -3, is 3.

If it's already positive, then nothing happens; it stays the same

So, the absolute value of 8 is 8, nothing is changed.

Answer:

No

Step-by-step explanation:

4.5 IS NOT A WHOLE NUMBER!

Answer:

YES 4.5 IS NATURAL NUMBER

Step-by-step explanation:

Answer:

the answer is C: eleven and forty two ninetieths pounds

Step-by-step explanation:

The total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

The addition operation in mathematics adds values on each side of the operator.

For example 4 + 2 = 6

To find the total number of pounds of fruit that Frankie bought. Since both amounts are already given in pounds, we don't need to convert them.

Next, we need to add the two amounts together. Six and twelve fifteenth pounds can be written as 6 + 12/15 pounds, and four and four-sixths pounds can be written as 4 + 4/6 pounds. Adding these two amounts together, we get 6 + 12/15 + 4 + 4/6 pounds = 11 + 42/90 pounds.

Therefore, the total number of pounds of fruit that Frankie bought is 11 + 42/90 pounds, which is the same as option (C), eleven and forty-two ninetieth pounds.

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Answer:

0.375

6/16

37.5%

Step-by-step explanation:

Can't be above 50% because that would be 4/8, which rules out 62.5%, 50%, and 3.75, and 3.75% is super low, which leaves 4 answers, but 1/4 doesn't equal any of the others. Also, 3/8 x 2 is 6/8, and 0.375 = 37.5%

Answer:

5(x+8)-1=20+2(x+8)

or, 5x + 40 -1 = 20 + 2x + 16

or, 5x-2x = 20+ 16 -39

3x = -3

x = -1

Step-by-step explanation:

Answer:The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

The average rate of change is calculated as:

[final value - initial value] / time interval.

Then, the average rate of change does not take into account intermediates values, and you cannot draw any conclusion about such intermediate values.

In the given case you have:

average rate of change in depth = [final depth - initial depth] / 2 weeks.

0 = [final depth - initial depth] / 2 weeks.

⇒ 0 = final depth - initial depth

⇒ final depth = initial depth.

That is why the conclusion is the second statement of the answer choices: the pool must have been the same depth at the start of the interval as it was at the end of the interval.

In between the pool might have been deeper, more shallow, empty or change in any form, since the average rate of change does not tell the full history but only the net change.

Answer:

The pool must have been the same depth at the start of the interval as it was at the end of the interval.

Step-by-step explanation:

got it right on edge.

Answer:

23/3

7 7/8

7.9

Step-by-step explanation:

Answer:

6.384 rounded to one decimal place is 6.4

Step-by-step explanation:

The number rounded to one decimal place is 6.4.

To change a number into an approximation having fewer significant digits.

Given that, 6.384 to 1 decimal place,

Rounding 6.384 to one decimal place would be the same as rounding it to the nearest tenth.

The tenth in this number is 3. To round a number up, look at the number to the right of it - if the number is 5 or greater, then you increase the value of the number you're rounding by 1. If the number to the right of it is 4 or less, then the value of the number you're rounding stays the same.

In this case, the number we're rounding is 3 and the number to the right of it is 8. Since 8 is greater than 5, we have to increase the value of 3 by 1, which means that the number in the tenths position is now 4.

Hence, The number rounded to one decimal place is 6.4.

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Answer:  48) D. 4        49) C. N1.40

Step-by-step explanation:

A $2 postal money order actually costs $2.15

$10.00 ÷ $2.15 = 4.65

Since you can't purchase a fraction of a money order, the most you can buy is 4

4 money orders will cost  $2.15 × 4 = $8.60

The change from $10.00 will be  $10.00 - $8.60 = $1.40

Step-by-step explanation:

using Pythagoras theorem

d}^{2} =4}^{2+7}^{2}

d}^{2}=16+49

d}^{2}=65

d}^{2}=√65

[tex] \sqrt{d } ^{2} = \sqrt{65} [/tex]

d=8.06 or 8

Answer:

Step-by-step explanation:

3 ⁵/₉ ÷ - 2²/₃

convert into improper fractions

32/9 ÷ - 8/3

apply the fraction rule:

32 / 9  x  -3 / 8

32 x -3

9 x 8

_  96

   72

_ 4     --->> convert improper to mixed numbers

   3

- 1 ¹/₃

Answer:

41

Step-by-step explanation:

m-8=33

Combine like terms by moving 8 to the other side

m=33+8

m=41

I hope this helps! Please comment if you have any questions.

Answer:

M = 41

Step-by-step explanation:

This question is a basic one. Don't let the letter freak you out haha. All you need to do for something like this is find out what minus 8 is 33. An easy way we can do this is just add 8 to 33. 33 + 8 = 41.

41 - 8 = 33.

Your answer is 41.

Hope this helps and have a nice day!

Answer:

Step-by-step explanation:

One

Part A

5, -3*5, (-3)^2 * 5, (-3)^3*5, (-3)^4 * 5

5, - 15, 45, -135, 405

Part B

Second term = -15

Fourth term = -135

The difference = -15 - (-135) = 120

Two

(4 + 2)*(6-2)/(-1)

(8/2) * (5 + 1) * (2 - 1)/(-1)

(16/4) * (3+3) * (2 -1) / (- 1)

(30 - 6) * (0 + 1) / - 1

Steps to solve:

x/6 = 8

~Simplify

1/6x = 8

~Multiply 6 to both sides

x = 48

Best of Luck!

Answer:

The answer is D

Step-by-step explanation:

The only logical explanation

Equation of the graphed line passing through the points (0, - 4) and (2, 2) is equals to  [tex]y = 3x - 4[/tex].

" Coordinate plane is defined as the two dimensional plane formed by number line named x-axis and y-axis."

Formula used

Standard equation of the line

[tex]\frac{y-y_{1} }{x-x_{1} } =\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

According to the question,

Points passing through coordinate plane,

[tex](x_{1} ,y_{1} ) = (0,-4)\\\\(x_{2} ,y_{2} ) = (2,2)[/tex]

Substitute the coordinates in the formula to get the equation of line ,

   [tex]\frac{y-(-4) }{x-0 } =\frac{2-(-4) }{2-0}[/tex]

⇒ [tex]\frac{y+4 }{x } =\frac{6 }{2}[/tex]

⇒[tex]y + 4= 3x[/tex]

⇒[tex]y=3x-4[/tex]

Hence, the equation of the line is [tex]y=3x-4[/tex].

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Answer:

120

Step-by-step explanation:

Answer:

$128

Step-by-step explanation:

your looking for 16/8, divide 16 by 3, leaving you with 5.333...

now times that by $24, and you have your answer hope this helps

The price of 2 tons of gravel is $128.

Given:

The price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

To find:

The price of 2 tons of gravel.

Explanation:

Let [tex]x[/tex] be the price of 1 ton of gravel.

Then the price of [tex]\dfrac{3}{8}[/tex] ton is [tex]\dfrac{3}{8}x[/tex] and the price of 2 tons of gravel is [tex]2x[/tex].

It is given that the price of gravel is $24 for every [tex]\dfrac{3}{8}[/tex] ton.  

[tex]\dfrac{3}{8}x=24[/tex]

[tex]x=\dfrac{8}{3}\times 24[/tex]

[tex]x=8\times 8[/tex]

[tex]x=64[/tex]

Now, the price of 2 tons of gravel is:

[tex]2x=2(64)[/tex]

[tex]2x=128[/tex]

Therefore, the price of 2 tons of gravel is $128.

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Answer:

i'know

Step-by-step explanation:

Answer:

Step-by-step explanation:

(x - 3)/2 = -1

x - 3 = -2

x = 1

(y + 7)/2 = -1

y + 7 = -2

y = -9

(1, -9) the other endpoint

Answer: D

Step-by-step explanation:

To solve this problem, let's go through each pair to see if they are perpendicular lines.

A. Incorrect

These are parallel lines. We know this because they have the same slope and different y-intercept.

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B. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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C. Incorrect

These are not perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

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D. Correct

These are perpendicular lines. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair matches this property.

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E. Incorrect

These are not perpendicular lines. You can see that y=5 and x=5. The slope is [tex]-\frac{1}{m}[/tex]. The slope of the pair doesn't match this property.

Answer:

|4| - 2 = 2

|4| - 6 = -2

Step-by-step explanation:

Answer: The camera shutter is located inside the camera body.

Fun Fact - In the 1957 film “12 Angry Men” the focal length of the lenses in the cameras used were gradually increased to create a feeling of claustrophobia.

It's already simplified.