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4 years ago

Part A

Mathematics

1 answer:

kkurt [141]4 years ago

3 0

Answer:

Part A: A

Part B: A

Step-by-step explanation:

the inequality should be less than or equal to, since we need to find how many are left

now, the answer B is wrong, since there can't be negative 56, since Xander collected some cans, though he still must collect a few

thus, the answer is A

A again is correct, since it represents:c ≤ 56

B represents c ≥ 56

C represents c ≤ –56

D represents c ≥ -56

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Question 4: The storage in a reach of a river at a point in time is 255 m3 (meters cubed) . Determine the average rate of inflow

irakobra [83]

Answer:

0.319 m³/s

Step-by-step explanation:

Data provided:

Initial volume in the river = 255 m³

Final volume required in the storage = 325 m³

Average outflow = 0.30 m³/s

Duration for raising the level = 1 hour = 3600 seconds

Now,

The actual volume required to raise the volume to 325 m³

= Final volume - Initial volume

= 325 m³ - 255 m³

= 70 m³

also,

the amount of outflow in 1 hour = Average rate of outflow × Time

= 0.30 m³/s × 3600 s

= 1080 m³

Therefore,

the total volume required = 1080 m³ + 70 m³ = 1150 m³

Now,

the average rate of inflow required = $\frac{\textup{Total volume required}}{\textup{Time}}$

= $\frac{\textup{1150}}{\textup{3600}}$

= 0.319 m³/s

8 0

4 years ago

Harry is organizing a picnic. He can spend at most $24.00 on beverages. Iced tea costs $2.00 per gallon and lemonade costs $2.50

Arada [10]

Answer:

$10

Step-by-step explanation:

x + 5y = $24

x + 5($2.50) = $24

x + $12.50 = $24

x = $24 - $12.50

x = $11.50/2

x = 5

Thus, Harry bought 5 gallons of iced tea which cost him $10.

3 0

3 years ago

Help please<br> What is the value of y in this system of equations? <br>-6x+2y=-18 <br>-3x-2y=54

storchak [24]

Answer:

-6x+2y=-18 = $y = -9 + 3x$

-3x-2y=54 = $y = -27 - \frac{3x}{2}$

Step-by-step explanation:

I hope I understood this correctly.

8 0

3 years ago

What is the gradient of the line (-4, 10) to (-2, 6)<br>

Andre45 [30]

Answer:

（2,-4）

Step-by-step explanation:

-4＋2＝-2

10＋-4＝10-4＝6

6 0

2 years ago

For better clarification I guess

marissa [1.9K]

Answer:

1.) $=\frac{\sqrt{3}}{3}$

2.) $42\sqrt{30}$

Step-by-step explanation:

1.) $\mathrm{Multiply\:by\:the\:conjugate}\:\frac{\sqrt{3}}{\sqrt{3}}$

2.) $\mathrm{Apply\:radical\:rule}:\quad \sqrt{a}\sqrt{b}=\sqrt{a\cdot b}$

$\sqrt{6}\sqrt{5}=\sqrt{6\cdot \:5}$

6 0

3 years ago