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Fittoniya [83]
3 years ago
6

Evaluate 48/6-10/3 please and thank you :)))

Mathematics
1 answer:
vodomira [7]3 years ago
5 0

Answer:

14/3

Step-by-step explanation:

Simplify the following:

48/6 - 10/3

Hint: | Reduce 48/6 to lowest terms. Start by finding the GCD of 48 and 6.

The gcd of 48 and 6 is 6, so 48/6 = (6×8)/(6×1) = 6/6×8 = 8:

8 - 10/3

Hint: | Put the fractions in 8 - 10/3 over a common denominator.

Put 8 - 10/3 over the common denominator 3. 8 - 10/3 = (3×8)/3 - 10/3:

(3×8)/3 - 10/3

Hint: | Multiply 3 and 8 together.

3×8 = 24:

24/3 - 10/3

Hint: | Subtract the fractions over a common denominator to a single fraction.

24/3 - 10/3 = (24 - 10)/3:

(24 - 10)/3

Hint: | Subtract 10 from 24.

| 2 | 4

- | 1 | 0

| 1 | 4:

Answer:  14/3

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Last week, Wendy pell earned $440 for regular-time work by working 40 regular-time hours at $11 an hour. For the week, she was a
ki77a [65]

Answer:

698.5

Step-by-step explanation:

Time-and-a-half. Time-and-a-half is payment to a worker (or workers) at 1.5 times their usual hourly rate.

11×1.5=16.5 $ per hour

16.5 ×7 =115.5 $ - total for overtime

11×2 = 22$ per hour

22×6.5= 143$ - total for double time payment

440+143+115.5 = 698.5 $ - total earnings

6 0
3 years ago
Four time a number r plus half a number s equals 12. Twice the number r plus one fourth of the numbers s equals 8. What are the
Snezhnost [94]

The system of equations have no solution.

Explanation:

The equations are 4r+\frac{1}{2}s=12 and 2r+\frac{1}{4} s=8

To find the two numbers, let us solve the equations using substitution method.

From the equation 2r+\frac{1}{4} s=8, let us determine the value of r,

$\begin{aligned} 2 r+\frac{1}{4} s &=8 \\ 2 r &=8-\frac{1}{4} s \\ r &=\frac{1}{2}\left(8-\frac{1}{4} s\right) \\ r &=4-\frac{1}{8} s \end{aligned}$

Let us substitute the value of r in 4r+\frac{1}{2}s=12, we get,

$\begin{aligned} 4\left(4-\frac{1}{8} s\right)+\frac{1}{2} s &=12 \\ 16-\frac{1}{2} s+\frac{1}{2} s &=12 \\ 16 &=12 \end{aligned}$

which is not possible.

This means that the system has no solution.

6 0
3 years ago
Find the slope and the equation please<br><br>and step by step PLEASE.​
Svetllana [295]

Answer:

y = \frac{-4}{5}x + 1

Step-by-step explanation:

Slope is rise over run, or the vertical progression over the horizontal progression.

Your example has a line that heads downwards, so we know that the slope is negative. If we count the squares, the "rise" is down by 4. We count the squares going horizontally and there are 5. So, your slope is \frac{-4}{5}.

The other half of the equation is the y-intercept, or where the line crosses the y axis. It appears to be at (0 , 1), so we can say that your y-intercept is 1.

5 0
2 years ago
Why is C the answer for this question?
Grace [21]

Step-by-step explanation:

A left Riemann sum approximates a definite integral as:

\int\limits^b_a {f(x)} \, dx \approx \sum\limits_{k=1}^{n}f(x_{k}) \Delta x \\where\ \Delta x = \frac{b-a}{n} \ and\ x_{k}=a+\Delta x \times (k-1)

Given ∫₂⁸ cos(x²) dx:

a = 2, b = 8, and f(x) = cos(x²)

Therefore, Δx = 6/n and x = 2 + (6/n) (k − 1).

Plugging into the sum:

∑₁ⁿ cos((2 + (6/n) (k − 1))²) (6/n)

Therefore, the answer is C.  Notice that answer D would be a right Riemann sum rather than a left (uses k instead of k−1).

8 0
4 years ago
Which of the following would be an acceptable first step in simplifying the expression
krek1111 [17]

Answer: A

Step-by-step explanation: Because it can be simplified twice.

7 0
2 years ago
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