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4 years ago

HELP PLEASE ITS DUE SOON!!

Mathematics

1 answer:

aliina [53]4 years ago

5 0

To find out how many hours she worked, just subtract 40 from 45.5, meaning that she worked 5.5 or 5 1/2 hours of overtime. To find her overtime rate, multiply $11.95 by 1.5. This will give you an answer of $17.925 or $17.93, when rounded. To find her overtime pay, multiply $17.93 (her overtime rate) by 5.5 (the amount of overtime she worked.) This will give you a final answer of $98.615 or $98.62, when rounded. Hope this helps!

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Please help!!

timofeeve [1]

Answer:

y = 2/3x

Step-by-step explanation:

So we know, when lines are perpendicular that they share the same slope. The slope in the equation of y = 2/3x + 7 is 2/3x. So, we have our slope. Now, we just need to find our b. We plug in the point that you gave us into the equation y = mx + b.

3 = 2/3(2) + b

we multiply the denominator 3 by 2, then divide that by the numerator 2.

3 = 3 + b

subtract 3 from itself and from the opposite side of the equal side 3.

0 = b

in the end, there is no b for this equation. Our answer is

y = 2/3x

6 0

3 years ago

.The conversion of square feet to square yards can be represented by direct variation. Three square yards are equivalent to 27 s

Citrus2011 [14]

Answer:

The constant of variation is 1/9

The equation representing the direct variation is y/x= 1/9

Step-by-step explanation:

In direct variation, y/x=k denotes the equation, with k being the constant of variation. Here, y is the number of square yards and x is the number of square feet. Therefore, as we know that 27 square feet = 3 square yards, we can write one point (x₁, y₁) as (27 square feet, 3 square yards). Plugging x₁ and y₁ into our equation, we get

y/x = k

3 / 27 = k

(3/27) / (3/3) = 1/9* = k

Therefore, the constant of variation is 1/9

Next, as stated previously, y/x = k represents the equation of direct variation. Therefore, y / x = 1/9 as our equation

* because 3 is a factor of both 3 and 27, we can divide both the numerator and denominator by 3 to keep the fraction the same but also simplify it. One way to find the greatest common factor is to list the factors of each number and see the highest number that is a factor of both

5 0

3 years ago

How is number 0.000063 written in scientific notation?

katen-ka-za [31]

Step-by-step explanation:

The scientific notation:

$a\times10^k$

1 ≤ a < 10 and k - any integer number

$0.000063=0\underbrace{.00006}_{5\to}3=6.3\times10^{-5}\\\\\\0.000063=6.3:100,000=6.3:10^5=6.3\times10^{-5}$

5 0

3 years ago

Use your calculator to evaluate the limit of x equals 1 to 3 of e raised to the x squared power, dx. Give your answer to the nea

xz_007 [3.2K]

The integral of e raised to x squared dx to the limit from 1 to 3 translating in equation we get
∫1-3 e^(X^2) dx.

Solving using scientific calculator, we have 1443.082471 or simply 1443.

ANSWER: 1443

7 0

3 years ago

Tyler baked 702 cookies he sold them in boxes of 18 after selling all of the boxes of cookies for the same amount of each he ear

jenyasd209 [6]

Keywords:

Cookies, boxes, sale, profit, unit cost

For this case we have to bake an amount of 702 cookies, which were distributed in boxes of 18 for sale. Selling each box at the same price earned a profit of 136.50 dollars, you want to know the unit cost of each box of cookies.

Let $"x"$ be the number of boxes of cookies:

So, to know the number of boxes we divide 702 cookies among 18:

$x = \frac {702} {18}\\x = 39$

So, we have Tyler sold 39 boxes of cookies

Now, let $"y"$ be the cost of each box of cookies, to know the unit cost or sale price of the cookie boxes, we divided 136.50 dollars among 39 boxes of cookies, then:

$y = \frac {136.50} {39}\\y = 3.5$

Thus, the cost of each box was 3.5 dollars.

Answer:

The cost of a box is 3.5 dollars

5 0

3 years ago

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