Amelia read 5 books in 3 months. what was her rate of reading in books per month?
also where should i resize the right columns represent the unit rate?

Answer:

Step-by-step explanation:

There is no pair of real numbers that have a total of -4 and a product of 5. The complex numbers (-2+i) and (-2-i) will meet your requirements.

__

If the numbers of interest are 'a' and 'b', they will be zeros of the quadratic whose factored form is ...

  (x -a)(x -b) = 0

Expanding that, we find an opportunity to use the given sum and product numbers:

  x² -(a+b)x +ab = 0

  x² -(-4)x +5 = 0

Rewriting this in vertex form gives ...

  (x² +4x +4) +1 = 0

  (x +2)² +1 = 0

We can find the values of x by subtracting 1 and taking the square root.

  (x +2)² = -1

  x +2 = ±√(-1) = ±i

  x = -2±i

The two numbers of interest are -2+i and -2-i.

the completed ordered pairs that are solutions to the linear equation x - 2y = -5 are (2, 3.5) and (1, 3).

To complete the ordered pair (x, y) so that it is a solution of the linear equation x - 2y = -5, we need to find the missing value for each given ordered pair.

Let's start with the first ordered pair, (2, ). Plugging in x = 2 into the equation, we have 2 - 2y = -5. To solve for y, we can rearrange the equation: -2y = -7, and dividing by -2, we find y = 7/2 or 3.5. Therefore, the first completed ordered pair is (2, 3.5).

Moving on to the second ordered pair, (1, ). Substituting x = 1 into the equation, we have 1 - 2y = -5. Rearranging the equation, we get -2y = -6, and dividing by -2, we find y = 3. So, the completed ordered pair is (1, 3).

In summary, the completed ordered pairs that are solutions to the linear equation x - 2y = -5 are (2, 3.5) and (1, 3).

Learn more about linear equation here:

https://brainly.com/question/32634451

#SPJ11

Answer:

A: 22.7%

Step-by-step explanation:

edge

Answer:

Let ac=ab=5

With this, bc= 5√2

Step-by-step explanation:

So to find ad, Let ad be x

5√2=(2)(x)

(5√2/2)= x

This proves that bc=2ad

Answer:

-6 , 8 , 10 , 15

Negatives are less than positives so they're first

Answer:

C.

Step-by-step explanation:

The picture I took is underneath.

The length of the building in the scale drawing is; 31. 25 Inches

From the given, we have that Scale drawing was used 0. 25 inches represents 2 feet

The length of the building = 250 feet

Then, 0. 25 inches = 2 feet

Then, x inches = 250 feet

Now cross multiply

x × 2 = 0. 25 × 2500

Multiply through, we have;

2x = 62. 5

Make 'x' the subject by dividing both sides by 2

2x/2 = 62. 5/ 2

x = 31. 25 Inches

Thus, the length of the building in the scale drawing will be; 31. 25 Inches.

Learn more about scale drawing here:

brainly.com/question/25324744

#SPJ1

(a) The total amount Bill ended up paying for the equipment, including the down payment and monthly payments, can be calculated by adding the down payment to the total amount paid through monthly payments over the years.

(b) To determine the amount of interest Bill paid on the loan, we need to subtract the initial loan amount (rest of the equipment cost after the down payment) from the total amount paid.

(a) The total amount Bill ended up paying for the equipment can be obtained by adding the down payment to the total amount paid through monthly payments. The down payment represents the initial contribution made towards the purchase, while the monthly payments gradually cover the remaining cost of the equipment over the years. By summing up these two amounts, we obtain the total amount paid by Bill for the lab equipment.

(b) To calculate the amount of interest Bill paid on the loan, we need to subtract the initial loan amount from the total amount paid. The initial loan amount corresponds to the cost of the equipment minus the down payment. This represents the principal amount that Bill borrowed to finance the purchase. By subtracting the principal amount from the total amount paid, we can determine the interest paid on the loan.

It's important to note that the specific values for the down payment, loan amount, and monthly payments are not provided in the question. To obtain the exact total amount paid and the interest paid, these values would need to be known or provided.

Learn more about calculation of total payments

brainly.com/question/32761348

#SPJ11

Answer:

top option: The function is nonlinear and does not have a constant rate of change

Step-by-step explanation:

This is a parabolic function, meaning that it increases exponentially. Therefore, it is nonlinear and does not have a constant slope (rate of change).

Answer: $752

Step-by-step explanation:

Last week: 23

This week: 23 + 18 = 41

Total = 41 + 23 = 64

64 x 11.75 = $752

This means x = 2 and y = -2

============================================================

Explanation:

Let's solve the first equation for y

5x+y = 8

y = 8-5x

Then we'll plug this into the second equation

-3x + 2y = -10

-3x + 2( y ) = -10

-3x + 2(8-5x) = -10

-3x + 16 - 10x = -10

-13x + 16 = -10

-13x = -10-16

-13x = -26

x = -26/(-13)

x = 2

Use this value to find y

y = 8-5x

y = 8-5(2)

y = 8-10

y = -2

The ordered pair solution is (x,y) = (2,-2)

This is where the two lines cross.

-----------------

To check the answer, plug the x and y coordinates into each equation. We should get the same number on both sides of each equation.

For the first equation, we have:

5x+y = 8

5(2)-2 = 8

10-2 = 8

8 = 8

That works. Repeat for the second equation

-3x+2y = -10

-3(2)+2(-2) = -10

-6 - 4 = -10

-10 = -10

That checks out as well. Both equations are true when x = 2 and y = -2. The answer is confirmed.

Answer:

Lesser is -7

Step-by-step explanation:

x(x+4) = 21

Distribute

x^2 + 4x = 21

x^2 + 4x - 21 = 0

x^2 + 7x - 3x -21 = 0

(x+7)(x-3) = 0

x=-7, 3

PLS MARK BRAINLIEST

there are no data points in the last bin (120-139), so the corresponding bar is absent.

To create a histogram for the given data points, we need to first group them into intervals called bins. Then we count how many data points fall into each bin and represent it using bars of varying heights.

Here's how we can create a histogram for the given data:

Bin              Tally                  Frequency

0-19               0

20-39            0

40-59           |                           1

60-79           ||                          2

80-99          |||                          3

100-119         ||                          2

120-139        0

To create this histogram, we first divided the range of the data (6 to 96) into intervals of width 20, starting from 0-19. We then counted how many data points fell into each bin and represented it using a tally. Finally, we counted the tallies to find the frequency of data points in each bin and represented it using bars.

To know more about histogram, visit:

https://brainly.com/question/30354484

#SPJ1

Answer:

False.

6 miles is farther than 6 kilometers. One mile is equal to 1.60934 kilometers, so 6 miles is equal to 6 x 1.60934 = 9.65604 kilometers. Therefore, 6 miles is farther than 6 kilometers.

Step-by-step explanation:

The answer is:

Work/explanation:

We can't really compare two things if they have different units.

So we need to convert kilometers to miles first.

1 km is approximately equal to 0.621 miles.

So 6 km would be approximately 3.728 miles.

6 miles is further away than 3.728 miles.

6 km is not as far as 6 miles. And now we know why.

Answer:

x<12

Step-by-step explanation:

Let's solve your inequality step-by-step.

−3< x/ −4

Step 1: Simplify both sides of the inequality.

−3< −1/ 4 x

Step 2: Flip the equation.

−1/ 4 x>−3

Step 3: Multiply both sides by 4/(-1).

( 4/ −1 )*( −1/ 4 x)>( 4 /−1 )*(−3)

x<12

Answer:

x<12

Answer:

950kg

Fruits = 3052.06

vegetables = 2712.94

$0.12

$0.44

Step-by-step explanation:

The first step is to determine the total tonnes of fruits and vegetables sold

7/12 x b = 2.28

b = 2.28 tonnes

Next we determine the tonnes of fruits sold

5/12 x 2.28 = 0.95 tonnes

Next we convert tonnes to kg

1 tonne = 1000kg

0.95 x 1000 = 950 kg

Money he received from selling fruits = 9/17 x $5765 = $3052.06

Money he received from selling vegetables = $5765 - $3052.06 = $2712.94

If price was reduced by 40%, price would be (100-40%) 60% of the original price

0.6 x 0.35 = $0.21

If price was increased by 25%, price would be (100 + 25) 125% of the original price

1.25 x 0.35 = $0.44

In this exercise we have to use the knowledge of finance and percentage to calculate the values ​​of vegetables and fruits:

A)\(950\ kg\)

B)Fruits: \(\$ 3052.06\) and Vegetables: \(\$ 2712.94\)

C)\(\$0.12\)

D)\(\$0.44\)

The first step is to determine the total tonnes of fruits and vegetables sold:

\((7/12)*( b )= 2.28\\b = 2.28\ tonnes\)

Next we determine the tonnes of fruits sold:

\((5/12)*( 2.28) = 0.95 \ tonnes\)

Next we convert tonnes to kg:

\(1 \ tonne = 1000 \ kg\\(0.95)*( 1000) = 950\ kg\)

If price was reduced by 40%, price would be 60% of the original price, so:

\((0.6)*(0.35) = \$0.21\)

If price was increased by 25%, price would be 125% of the original price, will be:  

\((1.25)*(0.35) = \$0.44\)

See more about finances at brainly.com/question/10024737

Answer:

124

Step-by-step explanation:

If you are talking about angles, then the answer is 124 degrees. Question is a little open, though.

I hope this helps!

Answer:

37/180

Step-by-step explanation:

Reduce this fraction by dividing both sides by 2.  We get 37/180, which cannot be reduced further; 37 and 180 have no common factor.

\(f(x) = x2ex − (2ex/x) + c1x + c2\)(required solution)

Hence, \(f(x) = x2ex − (2ex/x) + c1x + c2\)

(where c1 and c2 are constants)

The first step to solve the given question is to integrate

\(f ″(x) = 2x 5ex\)

two times using integration by parts.

The first integration of f ″(x) with respect to x would yield f ′(x) as given below:

\(f ″(x) = 2x 5ex\)

Integrate with respect to x on both sides:

\(f ″(x) dx = (d/dx)(f′(x))dx∫(2x 5ex) dx = ∫d/dx (f′(x)) dx\)

Here, we have;

\(∫(2x 5ex) dx = x2ex −∫2exdx∫(2x 5ex) dx = x2ex − 2ex + c1\)

(where c1 is the constant of the first antiderivative) So,

\(f′(x) = x2ex − 2ex + c1\)

After integrating f′(x), the next step is to integrate it again to get f(x).

Integrating f′(x) with respect to x would yield f(x) as given below:

\(f′(x) = x2ex − 2ex + c1∫f′(x) dx = ∫x2ex dx − ∫2ex dx + ∫c1 dx∫f′(x) dx = x2ex − (2ex/x) + c1x + c2\)

(where c2 is the constant of the second antiderivative)

Therefore, \(f(x) = x2ex − (2ex/x) + c1x + c2\) (required solution)

Hence, \(f(x) = x2ex − (2ex/x) + c1x + c2\) (where c1 and c2 are constants)

To know more about solution visit:

https://brainly.com/question/30109489

#SPJ11

The total product average product and marginal product are important to operate efficiently and maximize profits. Option D is the correct answer.

Being able to calculate the total product, average product, and marginal product is important for businesses to operate efficiently and maximize profits.

The total product is the overall output produced by a business, while the average product is the output per unit of input, and the marginal product is the change in output resulting from a change in input.

These calculations can help businesses optimize their production processes by identifying the most efficient levels of input and output.

By maximizing their output while minimizing their input costs, businesses can increase their profitability and gain a competitive advantage in the market.

Learn more about the total product average product and marginal product at

https://brainly.com/question/28063883

#SPJ4

The question is -

Being able to calculate the total product average product and the marginal product is important:

a. for determining demand and supply.

b. when filing taxes.

c. to keep competition in check.

d. to operate efficiently and maximize profits.

Answer:

31.7

Step-by-step explanation:

Since you want to find the entire weight, you need to add up all of the weights of the puppies.

12+9.5+10.2= 31.7

X= 8/3 :)) hope this helps !

Answer:

Hold its nose

Step-by-step explanation:

You can actually de-scent a skunk if it is the powerful defensive odor you are referring to. When you have a skunk de-scented, they are no longer able to spray, and at this point they are now similar to having a pet cat or dog; lovable and highly desire affection and attention from their owners.

For 2x3 + 4x the Degree is 1

Answer:

Step-by-step explanation:

Answer: 3 degrees

Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s is -0.2266 rad/s².

Given data:ωz(t) = γ - βt² = -βt² + γWhere, β = 0.835 rad/s³y = ωz(t) = 4.65 rad/s

To find:Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s.

Average acceleration formula is given as:Cav-z = Δω/Δt

We can calculate Δω as follows:Δω = ωf - ωi

Where,ωf = final angular velocityωi = initial angular velocity

Since the time interval is given from t = 0 to t = 3 s, initial angular velocity is:ωi = ωz(0) = γ = constant = 5.33 rad/s

Final angular velocity is given as:ωf = ωz(t) = 4.65 rad/sΔω = ωf - ωi = 4.65 - 5.33 = -0.68 rad/s

Now, we can calculate Δt = 3 - 0 = 3 s

Therefore, the average angular acceleration Cav-z is:Cav-z = Δω/Δt= -0.68/3= -0.2266 rad/s²

Answer:Average angular acceleration Cav-z for the time interval t = 0 to t = 3.00 s is -0.2266 rad/s².

Know more about angular acceleration here,

https://brainly.com/question/30237820

#SPJ11

Answer:

FG i think... sorry if i am wrong

Step-by-step explanation:

Answer:

\(\text{a. }128\:\mathrm{cm^3},\\\text{b. }4:1,\\\text{c. }179.4\:\mathrm{cm^2};\:44.8\:\mathrm{cm^2}\)

Step-by-step explanation:

The volume of a square pyramid is given by \(V=\frac{1}{3}\cdot s^2\cdot h\)

Since pyramids A and B are similar, their corresponding side lengths are proportion. Since the base edge of B is half that of A's, each dimension of B will be half of A. Since the formula for volume requires the multiplication of three dimensions, the volume of pyramid A will be \(2^3=8\) times larger than the volume of pyramid B.

Thus, the volume of pyramid A is equal to \(16\cdot 8=\boxed{128\:\mathrm{in^3}}\). You can also find the dimensions of pyramid A and use the formula.

The surface area consists of the sum of all areas of the 2D shapes that make the figure. Since all dimensions of pyramid A are twice the dimensions of pyramid B, the ratio of the surface area of pyramid A to pyramid B is \(2^2:1=\boxed{4:1}\)

The surface area of a square pyramid can be found by adding the areas of the three triangles and one square that make it up. As one long messy formula, that becomes \(2s\sqrt{\left(\frac{s}{2}\right)^2+h^2}+s^2\) for a square pyramid with base edge \(s\) and height \(h\).

Plugging in values, we get the following:

\(A_a\approx \boxed{179.4\:\mathrm{cm^2}},\\A_b\approx \boxed{44.8\:\mathrm{cm^2}}\)

\(\large{\green}\fcolorbox{purple}{pink}{\bf{\underline{\red{\color{red}Answer}}}}\)

6x + 20

Step-by-step explanation:

Perimeter of rectangle

Length = 2x + 7

Breadth/width = x + 3

We know that

\( \mathfrak {perimeter \: of \: rectangle =2(length + breadth) }\)

Now we will substitute the values of length and breadth

\( \sf \longmapsto perimeter = 2 \{(2x + 7) + (x + 3) \} \\ \\ \\ \sf \longmapsto perimeter = 2 \{3x + 10 \} \\ \\ \\ \sf \longmapsto perimeter = 6x + 20\)