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3 years ago

I earn $20.00 in 4 hours. At this rate, how much will i earn in 28 hours (show your work)

Mathematics

1 answer:

Sedbober [7]3 years ago

7 0

Answer:

140$

Step-by-step explanation:

4 hours = 20

28 hours divided by 4 is 7

7 x 20 = 140

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119/30 Simplified please help this is urgent

chubhunter [2.5K]

14/3 or 4(2/3) is the answer

7 0

3 years ago

Read 2 more answers

Which graph shows the solution to the system of linear inequalities? y ≥ 2x + 1 y ≤ 2x – 2

Artyom0805 [142]

Answer:

Step-by-step explanation:

Given the two inequalities:

$y \ge 2x + 1\\ y \le 2x - 2$

To graph them, first of all, let us write their corresponding equations:

$y = 2x + 1 \\y = 2x - 2$

We now find at least 2 points each which satisfy the equations to plot the graph.

Equation $y = 2x + 1$ :

Putting x = 0, y = 1

Putting y = 0, x = $-\frac{1}2$ .

Two points are (0, 1) and ( $-\frac{1}2$ , 0).

Equation $y = 2x -2$ :

Putting x = 0, y = -2

Putting y = 0, x = 1.

Two points are (0, -2) and (1, 0).

Now, let us plot them.

Let us take a point (1, 4) and check whether it satisfies the first inequality.

$4 \ge 2 \times 1 +1\\\Rightarrow 4 \ge 3$

Which is true.

So, The shaded region will be towards point (1,4).

Let us take a point (1, 4) and check whether it satisfies the second inequality.

$4 \le 2 \times 1 -2\\\Rightarrow 4 \le 0\ [\bold{False}]$

So, The shaded region will be opposite to point (1,4).

Please refer to the attached graph for the answer.

No solution exists for them because there is no common shaded region.

3 0

4 years ago

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as

mamaluj [8]

Answer:

The farmer have at first 202 chickens.

Step-by-step explanation:

Given:

A farmer had twice as many chickens as ducks on his farm. After he sold 166 chickens and ducks, he had half as many chickens as ducks left.

Now, to find the chickens farmer have at first.

Let the chickens be $x.$

And, the ducks be $y.$

As, the farmer had twice as many chickens as ducks on his farm.

So, $x=2y$ ......(1)

As, given the farmer after selling 166 chickens and ducks, he had half as many chickens as ducks left.

According to question:

$x-166=(y-29)\times \frac{1}{2}$

$x-166=\frac{y-29}{2}$

Substituting the value of $x$ from equation (1) we get:

$2y-166=\frac{y-29}{2}$

By cross multiplying we get:

$4y-332=y-29$

Adding both sides 332 we get:

$4y=y+303$

Subtracting both sides by $y$ we get:

$3y=303$

Dividing both sides by 3 we get:

$y=101.$

Now, to get the number of chickens substituting the value of $y$ in equation (1):

$x=2y\\\\x=2\times 101\\\\x=202.$

Therefore, the farmer have at first 202 chickens.

7 0

3 years ago

Based upon extensive data from a national high school educational testing program, the standard deviation of national test score

Amiraneli [1.4K]

Answer:

The standard error of the mean is 10.11 points

Step-by-step explanation:

Standard error of mean = t×sd/√n

sd = 115 points, n = 500, degree of freedom = n-1 = 500-1 = 499, assuming a 95% confidence level, t-value corresponding to 499 degrees of freedom and 95% confidence level is 1.96501

Standard error of mean = 1.96501×115/√500 = 10.11 points (to the nearest 100th)

6 0

3 years ago

Select the values of that are solutions to the inequality x^2+3x-4>0

sergey [27]

Solution:x^2+3x-4=(x+4)(x-1)>0,
therefore, the x range is (-∞,-4)∪(1,+∞).
Answer:(-∞,-4)∪(1,+∞).[

4 0

3 years ago