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2 years ago

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.

Mathematics

1 answer:

hodyreva [135]2 years ago

3 0

Answer:

If two variables are directly proportional, it means that an increase in the value of one variable would cause a corresponding increase in the other variable. If they are inversely proportional, an increase in the value of one variable would cause a corresponding decrease in the other variable.

Looking at the given values, as x is increasing, y is also increasing. The constant of proportionality is

9/3 = 27/9 = 3

Therefore, the relationship is a direct variation and the function to model it is

y = 3x

Step-by-step explanation:

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The cost, including sales tax, of a Ford Focus SE is $19,392.70. If the sales tax is 6%, find the cost of the car before the tax

Ilia_Sergeevich [38]

Answer:

the price before taxes was $18,229.13

Step-by-step explanation:

6 0

3 years ago

Simplify (-6a5b4c3)(5a3b2c)

swat32

$\text{Use:}\\\\a^n\cdot a^m=a^{n+m}\\\\(-6a^5b^4c^3)(5a^3b^2c)\\\\=(-6\cdot5)(a^5a^3)(b^4b^2)(c^3c^1)\\\\=-30a^{5+3}b^{4+2}c^{3+1}\\\\=\boxed{-30a^8b^6c^4}$

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3 years ago

Distinct four-letter sequences are formed by picking 4 letter tiles from a bag containing 11 different alphabet tiles. Note that

77julia77 [94]

4 of them
11 choices
slot method
1st slot: 11 choices
2nd slot: 10 choices (1 picked)
3rd slot: 9 choices (1 more picked)
4th slot: 8 choices (1 more picked)

11*10*9*8=7920
7920 ways
so the probabity is
1/7920

6 0

3 years ago

Read 2 more answers

Draw a model to represent the problem 1/2divided by 2/12

ExtremeBDS [4]

Everyone gets 2 hope it helped!

8 0

4 years ago

Read 2 more answers

0.63 x 1.8 solve with the steps to get the answer

Xelga [282]

Answer:

key the numbers into your calculator and execute the multiplication function

Step-by-step explanation:

Details vary with calculator model. Read your manual.

_____

There are many ways to work a problem of this nature by hand or in your head. The second attachment shows a couple of them.

Long multiplication

Essentially, every digit in one number needs to be multiplied by every digit in the other number, and the results combined according to their place value. The diagram on the left is a method that has you put the product of the top digit and the right digit into the box with "tens" and "ones" separated by a diagonal line.

After you've filled in the products of all the digits, you add them along diagonal "columns", putting the sum at the bottom or to the left. Any "carry" from the sum will add to the next "column" to the left or above. For example, the product digit 3 is arrived at by adding the 8, 2, and 3 along the diagonal. That sum results in a "carry" of 1 that gets added to the 4, 6, and 0 in the diagonal "column" above it.

As with any multiplication of decimals, the number of decimal digits in the product is the same as the total of the numbers of decimal digits in the multiplicands. (2+1=3)

Mental math

Both these numbers are multiplies of 9, so the product can be found different ways using that fact. The number 1.8 is 2 - 0.2, so the product can be found as ...

0.63 × 1.8 = 0.63 × (2 -0.2) = (0.63×2) - (0.63×0.2)

= 1.26 -0.126 = 1.134

Multiplication by 2 is easily done in your head. The subtraction of one 3-digit number from another may be a little harder to do, but is probably less work than the long multiplicatin described above.

_____

Alternative mental math

The product of one number and the other, as described above, is the product of each digit in one number with each digit in the other number, paying attention to place value.

With decimal points removed, the numbers are 63 and 18, and their product is ...

6·1 × 100 + (6·8 +3·1) × 10 + 3·8

= 600 +510 +24

= 1110 +24

= 1134

The the desired product is this value with the decimal point put 3 places from the right: 1.134

3 0

3 years ago