A picture frame 4 inches wide by 6.5 inches high has a 3 inch by 5 inch photograph place in the center. What is the area of the frame?
A picture frame 4 inches wide by 6.5 inches high - 1

Answers

Answer 1
Answer:

Answer:

A_f=11~inches

Step-by-step explanation:

Area of a Rectangle

A rectangle of width W and height H has an area of:

A = W.H

We have one rectangle inside another. The first rectangle corresponds to the frame and its contents. The second rectangle corresponds to the photograph.

The area of the frame without its contents is the difference between both areas:

A_f = A_e-A_i

Where Ae is the external area of the frame, and Ai is the internal frame of the photograph.

The frame has W=4 inches and L=6.5 inches, thus:

A_e=4~inches*6.5~inches

A_e=26~inches

The photograph has W=3 inches and L=5 inches, thus:

A_i=3~inches*5~inches

A_i=15~inches

The area of the frame is:

A_f = 26 - 15 = 11~inches

\mathbf{A_f=11~inches}

Answer 2
Answer:

Area =  l × w

=  6.5 × 4

=  26 feet2


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Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

Answers

The following steps of solving for the roots of 2x² - 4x -3 = 0 were retrieved from another source Step 1 2x² - 4x = 3 Step 2 2(x² - 2x) = 3 Step 3 2(x² - 2x + 1) = 3 + 1 Step 4 2(x - 1)² = 4 From this, we can see that on Step 3, Tran made a mistake of adding 1 to 3. As we can see, 2(x² - 2x + 1) = 2x² - 4x + 2. That means, instead of adding 1, it should have been 2. Therefore, the step that Tran first made an error is Step 3.

If the midpoint between (x, 3) and (9, 9) is (7, 6), find the value of x.

Answers

The midpoint formula states that the midpoint is equal to (x1 + x2/2, y1 + y2/2). However, in this instance, we only have to deal with the x-values because that is where our unknown variable x is. Using our formula for the x-values, we can set up the following equation:

(x + 9)/2 = 7

To solve this equation, we must first multiply both sides by 2 to get rid of the denominator on the left side of the equation.

x + 9 = 14

Next, we should subtract 9 from both sides of the equation to get the variable x alone on the left side.

x = 5

Therefore, your answer is x=5.

Hope this helps!

Help with a and b? Thank you

Answers

Step-by-step explanation:

 Given data:

         Cars      Vans    Others

          60          21          3

The data represents the number of cars on a single day.

Find the relative frequency;

It is the number of times an event occurs.

Here the time frame is within a day;

  Relative frequency = (number of cars + number of vans + others)/(number of days)  

  Relative frequency  = 60 + 21 + 3  = 84vehicles per day

ii.

Number of vans in a week;

      Number vans  in a week  = 21van per day x 7 days  = 147vans

Help! I'm not sure how to set this up. Here is the question; Faye paid $16.00 for a pair of shorts that were 20% off. What was the original price of the shorts.

Answers

80/100*n=16

80n=1600

n=1600/80=160/8=20

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

Original price: $20.00
The original price of the shorts would have been $19.20. To find this answer you would have to multiply and add.
First thing I did was turn 20% into a decimal by moving the decimal to the left 2 times.(.20)
Second thing I did was multiply 16.00*.20. Which came up to be 3.20.
The third thing that you would have to do is add 3.20 to the price Faye paid for the shorts.
3.20+16.00
And the original price would have came up to $19.20
Hope this helps:)

Mr. Hann is trying to decide how many new copies of a book to order for his students. Each book weighs 6 ounces.Which ordered pair is a viable solution if x represents the number of books he orders and y represents the total weight of the books, in ounces?

Answers

The answer that only made sense to me is (0,0)
x + 6y x being the number of books he orders, considering you have no idea how many books he need this remains x. the information you do know is every book weighs 6oz. this is your y value. 

Emmett squeezed 1/3 cup of orange juice in 2 minutes. He divided to find how many cups of orange juice he could squeeze per minute, but he made a mistake. Which reason explains why his answer must be wrong?

Answers

Given:
1/3 cup of orange juice in 2 minutes

Unit rate is needed.

1/3 ÷ 2 

Steps in dividing fractions.
1) Get the reciprocal of the 2nd fraction.
     2 is the 2nd fraction. It is 2/1 in fraction form. Its reciprocal is 1/2
2) Multiply the 1st fraction to the reciprocal of the 2nd fraction

1/3 * 1/2 = 1*1 / 3*2 = 1/6 cup

Emmet can squeeze 1/6 cup of orange juice per minute.