Michael read 135 pages in 1 1/2hours. Select all of the rates that are equivalent to this rate.

Answer:

what is the question? a circle is 360 degrees if that is what you're asking.

Answer:

30 minutes

Step-by-step explanation:

60 divided by 2 = 30

lable min

Answer:

x = -1

Step-by-step explanation:

3/4x + 3 -2x = -1/4 + 1/2x + 5

3/4x + 3 -2x = 19/4 + 1/2x

3x + 12 - 8x = 19 + 2x

-5x + 12 = 19 + 2x

-5x - 2x + 12 = 19

-7x = 19 - 12

-7x = 7

x = -1

By solving the algebraic equation  [tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5[/tex], x = -1.

Algebraic equation is statement of the equality of two expressions formulated by applying to a set of variables the algebraic operations, namely, addition, subtraction, multiplication, division, raising to a power, and extraction of a root.

[tex]\frac{3}{4}x+3-2x = -\frac{1}{4}+ \frac{1}{2}x + 5\\\\\frac{3}{4}x-2x-\frac{1}{2}x = -\frac{1}{4}+5-3\\\\\frac{3x-8x-2x}{4} = \frac{-1+20 - 12}{4} \\\\-\frac{7x}{4} = \frac{7}{4}\\ \\ x = -1[/tex]

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Answer: 8x - 1200

Step-by-step explanation: Because I did the problem

The profit function for Andrew's new product line is P(x) = 5x - 100.

A function can be defined as the outputs for a given set of inputs.

The inputs of a function are known as the independent variable and the outputs of a function are known as the dependent variable.

Given, The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) - C(x).

The revenue and cost functions for a new product line at his business are given by these functions. R(x) = 8x and C(x) = 100 + 3x.

Therefore, P(x) = 8x - (100 + 3x).

P(x) = 8x - 100 - 3x.

P(x) = 5x - 100.

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Step-by-step explanation:

Add parentheses around 1 + 1.

8 - 3 × 2 - (1 + 1) = 0

8 - 6 - 2 = 0

0 = 0

Answer: The answer is 0.

Step-by-step explanation: You'll need to add the parentheses around 1+1.

The solution:

Answer:

38 degree

Step-by-step explanation:

all the angles of a triangle are 180 . a supplementary angle is 105 degree... first subtract 180 - 105 (A), because it is a supplementary angle , so 75 degrees then do 180 - ( 67 + 75 ) that is 38 = x

Answer:

he is wrong it is 25 %

Step-by-step explanation:

I just did it

Answer:

-90%

Step-by-step explanation:

Change/ original x 100

9000-900= 8100

8100/9000= 0.9

0.9 x 100 = 90

Answer:

4 cups of mayonnaise.

Step-by-step explanation:

The ratio of the amount of pecans comparing reality and the recipe is:

1 : 3/8

= 1/(3/8)

= 8/3

Hence, to find the amount of mayonnaise that should be added:

8/3 * 3/2

= 8/2

= 4 cups

Hope this helped!

Answer: 5

the scale length of 15cm and 3cm is 15/3 = 5

Step-by-step explanation:

Answer:

We require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Step-by-step explanation:

Let n₁ be the population of A required and n₂ be the population of B required.

Now we require 2 units of the first nutrient for species A and one unit of the first nutrient for species B. The total nutrients required by species A is 2n₁ and that by species B is 1n₂ = n₂. So, the total nutrients required by both species A and B is 2n₁ + n₂. Since this equals the quantity of the first nutrient which is 10,560, then  2n₁ + n₂ = 10,560 (1)

Now we require 5 units of the second nutrient for species A and 6 units of the second nutrient for species B. The total nutrients required by species A is 5n₁ and that by species B is 6n₂. So, the total nutrients required by both species A and B is 5n₁ + 6n₂. Since this equals the quantity of the first nutrient which is 31,510, then  5n₁ + 6n₂ = 31,510 (2).

So, we have two simultaneous equations which we would solve to find the populations of A and B which satisfy both equations.

2n₁ + n₂ = 10,560  (1)

5n₁ + 6n₂ = 31,510 (2)

From (1) n₂ = 10,560 - 2n₁ (3)

Substituting equation (3) into (2), we have

5n₁ + 6(10,560 - 2n₁) = 31,510

expanding the brackets, we have

5n₁ + 63,360 - 12n₁ = 31,510

collecting like terms, we have

5n₁ - 12n₁ = 31,510 - 63,360

simplifying, we have

- 7n₁ = -31,850

dividing both sides by -7, we have

n₁ = -31,850/-7

n₁ = 4,550

Substituting n₁ = 4,550 into (3), we have

n₂ = 10,560 - 2(4,550)

n₂ = 10,560 - 9,100

n₂ = 1,460

So, we require 4,550 of species A and 1,460 of species B that can coexist in the environment so that all the nutrients are consumed each day

Number of Bacteria A and Bacteria B = 4550 and  1460 respectively,

Let the number of bacterias of Specie A and Specie B be = x and y respectively.

Given : 2 Nutrient Requirements of both species of Bacteria A and B , Total Nutrients available

To find : Number of Bacteria 1 and Bacteria 2

Nutrient 1 Constraint Equation : 2x + y = 10560

Nutrient 2 Constraint Equation : 5x + 6y = 31510

Putting the value of y from 1st equation in 2nd equation ;

5x + 6 (10560 - 2x) = 31510

5x + 63360 - 12x = 31510

63360 - 31510 = 7x

7x = 31850  

x = 31850 / 7 = 4550 { Bacteria A}

Putting the value of x in 1st equation,

2 (4550) + y = 10560

9100 + y = 10560

y = 10560 - 9100 = 1460 {Bacteria B}

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Answer:

it eats five mince meat everyday

Answer: B. Longest side.

Step-by-step explanation:

The line of reflection is the vertical line x = 1.

A reflection is a type of transformation that involves flipping a shape, known as the preimage, over a line, known as the line of reflection, to produce a new shape (called the image). You can picture what would happen if you flipped the form over the line in order to graph a reflection.

The line of reflection is the vertical line passing through the midpoint of segment AA'.

Since A'(2,5) and A(-4,5) have the same y-coordinate, their midpoint is on the line y = 5.

Therefore, the line of reflection is the vertical line x = 1.

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Answer:

The two trangle's relation by S.AS

Step-by-step explanation:

Idono thes ansar gdau gdddhd hjkdbss hhfc

Answer: 42 pages

Because

Answer:

ANSWER

3pq−6hk+(−3qp+14kh)

⇒(3pq−3pq)+(14kh−6kh)[∴pq=qp]and

⇒0+8kh[kh=hk]

∴8khAns

Answer:

c isn't in the equation so I'm assuming you're solving for x

x=16

Step-by-step explanation:

3/4x+2=5/4x-6 start by subtracting 3/4x on both sides

2=2/4x-6 now add 6 to both sides

8=2/4x at this point you can simplify 2/4 to 1/2 just to make it easier to divide

8=1/2x divide 1/2 or 0.5 by 8

x=16

Answer:

width = 15

Step-by-step explanation:

a² + b² = c² This the the formula

(PLUG IN)

8² + b² = 17²

64 + b² = 289 (subtract 64 on both sides)

b² = 225 (square root)

b = 15

Hope this helps ya!!

Answer:

Andre scored 14 points.

Equation: x = 14

Step-by-step explanation:

Let the number of points Andre scored be x.

Diego's points = x-9

Noah's points = (x-9) × 2

                       = 2x-18

Now, you know the exact value of Noah's points which is 10.

2x-18 = 10

Isolate the 2x.

2x = 10+18

    = 28

x = 28÷2

  = 14

Answer:

noah = 10 pts.

diego = 5pts. half as many as noah.

diego is 9pts less than andre.

if diego scored 5 and is 9 less than andre. andre scored 5+9

Andre scored 14pts

Step-by-step explanation:

Answer:

it's congruent

side-side -side

Answer:

not congruent because all the sides a different .

Answer:

shorts = 5and

t-shirts 7

Step-by-step explanation:

step one:

given

Let x= shorts and y= t-shirts

Trevor bought 12 shorts and t-shirts.

x+y=12----------1

sale for $12 each and

t-shirts were $6 each

12x+6y=102---------2

the sytems of equation is

x+y=12----------1

12x+6y=102---------2

Step two:

from 1,  x=12-y

put x=12-y in 2

12(12-y)+6y=102---------2

144-12y+6y=102

144-6y=102

144-102=6y

42=6y

y=42/6

y=7

put y=7 in  1

x+7=12----------1

x=12-7

x=5

shorts = 5and

t-shirts y

Answer:

5th box  has 45 for  Cecilia and 15 for Cora

8th box  has 72 for  Cecilia and 24 for Cora

Cecilia's boxes numbers are 3 times of Cora's boxes numbers.

Step-by-step explanation:

This can be completed as follows .

                              0   1   2     3     4      5      6    7       8         9       10

Cora's boxes        0   3   6     9     12   15      18    21     24      27     30

Cecilia's boxes    0   9   18    27   36  45     54   63    72      81     90

The 5th box  has 45 for  Cecilia and 15 for Cora which means  Cecilia's  number is 3 times bigger than Cora's number in the 5th box.

The 8th box  has 72 for  Cecilia and 24 for Cora which means  Cecilia's  number is 3 times bigger than Cora's number in the 8th box.

As we see that the difference in numbers is of three times from the beginning to the end. Therefore we conclude that  Cecilia's boxes numbers are 3 times of Cora's boxes numbers.

Answer:

2147.60

Step-by-step explanation:

Answer:

x = 100

Step-by-step explanation:

(x - 20) + x = 180  

2x - 20 = 180

   + 20    +20

2x = 200

x = 200/2

x = 100

Answer:

t = In2/ r

Step-by-step explanation:

Given the formula : A = Pe^rt

For investment to double ;

Final amount (A) = 2 * initial investment (p)

A = 2p

Hence,

2p = pe^rt

2 = e^rt

Take the In of both sides

In2 = rt

Divide both sides by r

In2 /r = rt /r

In2/ r = t

t = In2/ r ; Hence, the proof

The formula for obtaining the time taken when the amount is double the principal is ln2/r.

Given that;

A = Pe^rt

A = amount

P = principal

r = rate

t = time

Now we are told that;

A = 2P

Hence;

2P = Pe^rt

2 = e^rt

ln 2 = rt

t = ln2/r (QED)

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Answer:

1/2

Step-by-step explanation:

Answer:

I will assume you mean 0.015 out of 1.

It is 0.985

Step-by-step explanation:

Answer:

0.985

Step-by-step explanation:

The probability that a new fridge does not have a fault = 1 - 0.015

                                                = 0.985