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4 years ago

Four less than a number is greater than–28.

Mathematics

1 answer:

UNO [17]4 years ago

4 0

Answer:

x - 4 > 28

Step-by-step explanation:

x - 4 > 28

a number minus 4 is greater than 28

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A student concluded that the inequality −3+2y≤4x is equivalent to the inequality y≥2x+32, as shown below. Describe and correct t

timofeeve [1]

Answer:

$-3 +2y \leq 4x$

$2y \leq 4x+3$

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

Step-by-step explanation:

For this case we have the following inequality:

$-3 +2y \leq 4x$

We want to rewrite the last expression with y in the left and x in the right so we can begin adding 3 in both sides of the inequality and we got:

$2y \leq 4x+3$

Now we can divide both sides of the inequality by 2 and we got:

$y \leq 2x + \frac{3}{2}$

And that's different from the claim of the student that:

$y \geq 2x +\frac{3}{2}$

The error of the student is that he/she changes the sign of the inequality from $\leq$ to $\geq$ and that's not possible since we don't multiply both sides of the equation by -1

5 0

3 years ago

Referring to triangle ABC, find the area of the triangle.

ExtremeBDS [4]

Answer: area of triangle = 13.4 ft ( after rounding the answer to 3 significance figures)

Step-by-step explanation:

formula for the area of triangle

= S + S + S

= 4.34 + 3.78 + 5.27

= 13.9 ft

= 13.4 ( after rounding off to three significant figures )

5 0

4 years ago

impeded by the current the outing club took 4 hours and 24 minutes to paddle 11 km up the exeter river to their campsite last we

lilavasa [31]

Answer: if there had been no current, the rate would have been 4 km/hr.

The rate of the current is 1.5km/hr

Step-by-step explanation:

Let x represent the speed of the boat in still water.

Let y represent the speed of the current.

Impeded by the current the outing club took 4 hours and 24 minutes(4 + 24/60 = 4.4 hours) to paddle 11 km up the exeter river to their campsite last weekend. This means that the total speed with which they travelled is (x - y) km/h

Distance = speed × time. Therefore

11 = 4.4(x - y)

Dividing through by 4.4, it becomes

2.5 = x - y - - - - - - - - - - -1

The next day the same current was with them and it took only 2 hours to make the return trip to campus. This means that the total speed with which they travelled is (x + y) km/h. The distance travelled is

11 = 2(x + y)

Dividing through by 2, it becomes

5.5 = x + y - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

8 = 2x

x = 8/2 = 4

Substituting x = 4 into equation 1, it becomes

2.5 = 4 - y

y = 4 - 2.5

y = 1.5

3 0

3 years ago

How do you factor number 1 ?

kaheart [24]

What you did is correct.

8 0

3 years ago

Complete the inequality for this graph.<br> y Enter

Veronika [31]

Answer:

Step-by-step explanation:

They are looking for the y intercept. I am assuming that the scale on the x and y axis are counting by 1's. If you start at the origin (0,0) and count up, you will see that the dotting line is going through (0,5)

7 0

2 years ago