What conversion factor can be used to convert the number of blocks to the weight of the blocks, in pounds?

Answers

Answer 1

Answer:

The correct answer is:

The conversion factor would be the number of blocks multiplied by the weight of 1 block.

Explanation:

Consider the following example:

Suppose 1 block weighs 3 pounds. If there are 15 blocks, to find the total weight of the blocks, we multiply 3 by 15: 3(15) = 45. This means the total weight would be 45 pounds.

For any given number of blocks and any given weight of 1 block, to find the total weight of the blocks we would multiply the number of blocks by the weight of 1 block.

Answer 2

Answer: let n represent number of blocks

let m represent weight of 1 block but in pounds because we want to express our total weight in pounds.

if n is number of blocks and m mass of one block, mass of n blocks would be
n*m

that means that conversion factor is m ---> weight of 1 block in pounds

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A line intersects the points(4, 3) and (6,9).
What is the slope of the line in
simplest form?
m = [?]

Answers

Slope = 9-3 / 6-4
= 6/2
= 3

Your answer is m = 3

Answer:

6 / 2 or 3

Step-by-step explanation:

y2 - y1

_____ = (9 - 3) / (6 - 4) = 6 / 2 = 3

x2 - x1

1. Given ΔQRS (is congruent to) ΔTUV, QS = 3v + 2 and TV = 7v - 6, find the length of QS and TV. Provide a detailed response below, please. I was not provided with a picture, unfortunately.

Answers

Because ΔQRS is congruent to ΔTUV, the the segments GS and TV are also congruent due to the letter order (Q and T are first and S and V are 3rd.) Since they are congruent QS=TV. So 3v + 2 = 7v - 6

Work:
3v + 2 = 7v - 6
+6 +6
3v + 8=7v
-3v -3v
8 = 4v
4 4
2 = v

3(2) + 2 = GS
6+2 = GS
8 = GS

7(2) - 6 = TV
14-6=TV
8 = TV

Final Answer: 8=QS and 8=TV

So, we know the 2 triangles are congruent, that means that all complementary sides are congruent too. Draw out the triangle, make it look equal to each other, and put down the respective names down, IN ORDER, for both triangle. Then, you will see that QS and TV are complementary to each other, meaning they are congruent to each other. So, we can set their two equation equal to each other. Equation: 3v + 2 = 7v - 6. Now it's all algebra, solve for v, you should get 2. Now, we plug it back in for one of the equations (either one is fine because they are congruent to each other already), you should get 8 as your answer. I hope this helps!

What is the 289345.29 x 13.4

Answers

3,877,226.886

that the answer

F(x)=x^3+ax^2+bx+3 where a and b are constants. bx Given that when f (x) is divided by (x+2) the remainder is 7, (a) show that 2a-b=6 Given also that when f (x) is divided by (x-1) the remainder is 4. (b) Find the value of a and the value of b I don't know how solve it :(((((((

Answers

Part I - First synthetic division

You need to use synthetic division to come up with an expression for a and b:

(x + 2) is a factor, and the remainder is 7, so we can draw a synthetic division table...

coefficients = 1 for X^3; A for X^2; B for X^1; and 3

-2 |    1     A B           3

      -2 -2(A-2) 4(A-2)-2B

   1      (A-2)    -2(A-2)+B    4(A-2)-2B + 3

Remainder = 7

So...

4(A-2)-2B + 3 = 7

4 * (A - 2) - 2B + 3 = 7

4A - 8 - 2B =  4

4A - 2B = 12

2A - B = 6
Proved

-------------------------------------------------------------------------------------------------------------------
Part II - Second Synthetic Division

We draw another synthetic division table, this time with (x - 1), so the number on the left hand side will be +1

1 |    1        A B           3

      1   (A+1)   A+B+1

         1      (A+1)    A+B+1   A+B+4

    Remainder = 4

So...

A + B + 4 = 4

A + B = 0

A = -B

-------------------------------------------------------------------------------------------------------------------
Part III - Solving for A and B with our two simultaneous equations

We know that A = -B and we also know that 2A - B = 6

Since we know that A is equal to -B We can substitute in A for -B, to get:

2A - B = 6

Therefore...

2A + A = 6

3A = 6

A = 2

Again, as we know that A = -B, and as we have found that A = 2, we can see:

A = -B

Therefore...

2 = -B

B = -2

So our final answer is A = 2, B = -2

Hopefully this answer is more useful than the last one, and isn't so confusing!

Kent worked in the housewares section of a department store this year he set a record high for vacuum sales with 567 vacuum sold the previous high was last year when 540 vacuums were sold what is the percent of increased in sales from last year to this year?

Answers

The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To calculate the percent increase in vacuum sales from last year to this year, we can use the following formula:

Percent Increase = [(New Value - Old Value) / Old Value] * 100

Where:

New Value = 567 (vacuums sold this year)

Old Value = 540 (vacuums sold last year)

Now, let's plug in the values and calculate:

Percent Increase = [(567 - 540) / 540] * 100

Percent Increase = (27 / 540) * 100

Percent Increase = 0.05 * 100

Percent Increase = 5%

The percent increase in vacuum sales from last year to this year is 5%. This means that there was a 5% increase in the number of vacuums sold this year compared to last year's sales.

To know more about percent:

brainly.com/question/34659686

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One percent of 540 is 5.4 (540\100) now divide 567 by that number which gives you 105% take the original 100% away, it's an increase of 5%

Identify the coefficient of 17xy3z12
A. 3
B. 1
C. 17
D. 12

Answers

A coefficient is a numerical or constant quantity placed before and multiplying the variable(s) in an algebraic expression. In the question Ïdentify the coefficient of 17xy^3z^12" the correct answer is 17 (option C). The coefficient of 17xy^3z^12 is 17.

The correct answer is 17.

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