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Alja [10]
1 year ago
12

You are checking the intermediate results of a phone app that calculates the weight of an object in kilograms given the weight i

n pounds. The particular calculation you are checking, shown below, is for an input weight of 142 pounds and outputs 29.3 kilograms. What is the first step that has an error, and why is it an error?

Mathematics
1 answer:
Illusion [34]1 year ago
4 0

The wrong step is step 4, because you only need one conversion.

The formula to convers pounds to kilograms is

\text{weight in pounds} = 2.2 \times \text{weight in kilograms}

Obviously, the inverse formula is

\text{weight in kilograms} = \cfrac{\text{weight in pounds}}{2.2}

So, you're given an input of 142 pounds. To convert it in kilograms, plug that value into out formula:

\text{weight in kilograms} = \cfrac{142}{2.2} \approx 64.5

and this is the answer you're looking for, so you need no more steps.

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What is the balance on an amortized loan of $110,000 after the first payment if the interest rate is 5.5% with a monthly P&I
marishachu [46]
The interest due on the first payment is
.. I = Prt
.. I = 110,000*.055*(1/12)
.. I = 504.17

Then the decrease in principal resulting from the first payment is
.. 568.00 -504.17 = 63.83
and the new balance is
.. $110,000.00 -63.83 = $109,936.17
4 0
2 years ago
Geometry: Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.
Kazeer [188]

It is given in the question that,

Line QS bisects angle PQR. Solve for x and find the measure of angle PQR.

And

m \angle PQS = 2x+1
\\
m \angle RQS = 4x-15

Since QS bisects angle PQR, therefore

m \angle PQS = m \angle RQS

Substituting the values, we will get

2x+1=4x-15
\\
1+15 = 4x-2x
\\
2x = 16
\\
x = 8

6 0
1 year ago
Read 2 more answers
Drag each expression to show whether it is equivalent to (5⋅9x)+(5⋅1), 45x+15, or 15(3x−1).
JulijaS [17]

Part A: Option e: 5(9 x+1)

           Option f: 45 x+5

Part B: Option c: 15(3 x+1)

           Option d: (5 \cdot 9 x)+(5 \cdot 3)

Part C: Option a: (5 \cdot 9 x)-(5 \cdot 3)

           Option b: 45 x-15

Explanation:

Part A: The equation is (5 \cdot 9 x)+(5 \cdot 1)

Simplifying, we have,

45x+5

Taking the term 5 common out, we have,

5(9 x+1)

Thus, the above two expressions are equivalent to the equation (5 \cdot 9 x)+(5 \cdot 1).

Hence, Option e and Option f are the correct answers.

Part B: The equation is 45 x+15

Taking the term 15 common out, we have,

15(3 x+1)

Also, the equation can be rewritten as,

(5 \cdot 9 x)+(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 45 x+15

Hence, Option c and Option d are the correct answers.

Part C: The equation is 15(3 x-1)

Multiplying, we have,

45 x-15

The above expression can be rewritten as,

(5 \cdot 9 x)-(5 \cdot 3)

Thus, the above two expressions are equivalent to the equation 15(3 x-1)

Hence, Option a and Option b are the correct answers.

3 0
1 year ago
HELP!!<br> What is the equation of the circle shown in the graph?
ale4655 [162]

9514 1404 393

Answer:

  (x +6)^2 +(y -4)^2 = 36

Step-by-step explanation:

The center is (-6, 4) and the radius is 6. Putting those into the standard form equation, you have ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . . center (h, k), radius r

  (x -(-6))^2 +(y -4)^2 = 6^2 . . . . numbers filled in

  (x +6)^2 +(y -4)^2 = 36 . . . . . . cleaned up a bit

8 0
1 year ago
The width of a rectangle is the length minus 3 units. The area of the rectangle is 54 units. What is the width, in units, of a r
saul85 [17]

Width of the rectangle is 9 units

Step-by-step explanation:

  • Step 1: Let the width of the rectangle be x. Then the length = x - 3. Find dimensions of the rectangle if its area = 54 sq. units

Area of the rectangle = length × width

54 = x (x - 3)

54 = x² - 3x

x² - 3x - 54 = 0

x² + 6x - 9x - 54 = 0 (Using Product Sum rule to factorize)

x(x + 6) - 9(x + 6) = 0

(x + 6)(x - 9) = 0

x = -6, 9 (negative value is neglected)

x = 9 units

4 0
2 years ago
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