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vredina [299]
2 years ago
6

Ray wants to buy a hat that costs $10 and some shirts that cost $12 each. The sales tax rate is 6.5%. The expression 0.065(10+12

s) can be used to determine the amount of sales tax that Ray will pay on his entire purchase. Expand the expression
Mathematics
1 answer:
zubka84 [21]2 years ago
5 0

Answer: 0.65 + 0.78s

Step-by-step explanation:

From the question, we are informed that Ray wants to buy a hat that costs $10 and some shirts that cost $12 each and that the sales tax rate is 6.5%.

We are further told that the expression 0.065(10+12s) can be used to calculate the amount of sales tax that Ray will pay on his entire purchase.

Therefore, expanding the expression will give:

= 0.065(10+12s)

= (0.065 × 10) + (0.065 × 12s)

= 0.65 + 0.78s

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Convert 778.5 million km to scientific notation.
Doss [256]

778.5 Million in Scientific Notation is..

7.785 × 10^{8}

5 0
2 years ago
7+6x14-9=37 insert parentheses
d1i1m1o1n [39]

Answer:

7+6\times(14-9)=37

Step-by-step explanation:

The given expression is

7+6\times14-9

If we evaluate the expression as it is  we will get;

7+84-9=82

But we want to insert parenthesis so that we will use PEDMAS to obtain 37 as the result.

The only way this can be achieved is when we insert the parenthesis as shown below;

7+6\times(14-9)=7+6(5)=7+30=37

4 0
2 years ago
The sum of 4 consecutive number is 330 what is the sum of the largest and the smallest number
Drupady [299]
X + x + 1 + x + 2 + x + 3 = 330
4x + 6 = 330
4x = 324, x = 81
Smallest number: 81
Biggest number: 81 + 3 = 84
Sum: 81 + 84 = 165
The answer is 165
3 0
1 year ago
Write and then solve for y = f(x) the differential equation for the statement: "The rate of change of y with respect to x is inv
vazorg [7]
The statement "<span>The rate of change of y with respect to x is inversely proportional to y^4" can be written mathematically as dy/dx = k/y^4

To solve the differential equation, we use variable saparable method.
y^4 dy = kdx
Integrating both sides gives,
y^5 / 5 = kx + A
y^5 = 5kx + 5A = Bx + C; where B = 5k and C = 5A
y= \sqrt[5]{Bx+C}</span>
7 0
2 years ago
A single carton of juice costs $4.20. A special offer pack of 3 cartons costs $9.45. Ali bought a special offer pack instead of
fgiga [73]

1 cartons of juice = $4.20

3 single cartons = 4.20 * 3 =  $12.60

1 pack = $9.45

He saved 12.60 - 9.45 = $3.15

So, he saved $3.15, compared to the total ($12.60)

To calculate the percentage, we will do a proportion:

3.15 (money saved) : 12.60 (total of 3 single cartons) = x (how much percentage) : 100 (total)

3.15 : 12.6 = x : 100

To calculate x, we will moltiplicate the ends (where we have known numbers) than divide all per 12.6

So

x = (3.15 * 100) / 12.60 = 315 / 12.6 = 25

So the percentage saving is 25%

6 0
2 years ago
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