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Alenkasestr [34]
3 years ago
15

Aimee went to a stationary shop. She purchased 2 packs of red pens, 4 packs of black pens, and 3 packs of blue pens.

Mathematics
1 answer:
Delicious77 [7]3 years ago
4 0

Answer:

A.

Step-by-step explanation:

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What is the simplified form of 3V7-5V7? A.-2V7 B.2V7 C.-V14 D.15V7
lesantik [10]

Answer:

A -2V7

Step-by-step explanation:

you just have to subtract the coefficients

3-5=-2

-2V7

3 0
3 years ago
Read 2 more answers
Rebecca went swimming yesterday. After a while she had covered one fifth of her intended distance. After swimming six more lengt
alukav5142 [94]

Answer:

Option E.

Step-by-step explanation:

Let the intended length of Rebecca's swimming is = x units

and we assume the length of the pool = l units

Now it is given in the question that " She covers one fifth of her intended distance "

That means distance covered = \frac{x}{5}

" After swimming six more lengths of the pool she had covered one quarter of her intended distance"

So \frac{x}{5}+6(l)=\frac{x}{4}

6l=\frac{x}{4}-\frac{x}{5}

6l=\frac{x}{20}

x = 20×(6l)

x = 120l

Therefore, Rebecca has to complete 120 lengths of the pool.

Option E is the answer.

4 0
3 years ago
An ordered pair tells us what about a system of equations ?
mash [69]

Answer:

Step-by-step explanation:

It may not tell you anything. You have to be careful how you think about the answer to this. An ordered pair is just that: it describes an x and y value and that is really all that it does.

However it may also be used to describe the solution to a system of equations which cross in one place. For example, if you plot

y = x + 1

y = -3x + 2

The ordered pair that gives the point where both equations equal the same thing is (0.25,1.25) The graph is shown below, and the ordered pair marks the solution.

6 0
3 years ago
I NEED HELP ASAP PLEASEEEE!!!!!
earnstyle [38]

Answer:

Step-by-step explanation:

Use Pythagorean theorem.

Hypotenuse² = base² + altitude²

5)  x²  = 12² + 6²

         = 144 + 36

  x²  = 180

x = √180

x = 13.42 ft

6) 25² = x² + 19²

625 = x² + 361

625 - 361 = x²

x² = 264

x = √264

x = 16.25 m

7)  x² = 7² + 576

        = 49 + 576

        = 625

x = √625

x = 25 in

8)  2.5² = 2²+ x²

6.25 = 4 + x²

6.25 - 4 = x²

x² = 2.25

x = √2.25

x = 1.5 yd

5 0
3 years ago
You have 100 cm of string which can be cut in one place (or not cut at all) and then formed into a circle and a square (or just
Ne4ueva [31]

Answer:

44cm for minimum area and 0 for maximum area (circle)

Step-by-step explanation:

Let's C be the circumference of the circle and S be the circumference of the square. If we cut the string into 2 pieces the total circumferences would be the string length 100cm.

S + C  = 100 or S = 100 - C

The side of square is S/4 and radius of the circle is \frac{C}{2\pi}

So the area of the square is

A_S = \frac{S^2}{4^2} = \frac{S^2}{16}

A_C = \pi\frac{C^2}{(2\pi)^2} = \frac{C^2}{4\pi}

Therefore the total area is

A = A_S + A_C = \frac{S^2}{16} + \frac{C^2}{4\pi}

We can substitute 100 - C for S

A = \frac{(100 - C)^2}{16} + \frac{C^2}{4\pi}

A = \frac{100^2 - 200C + C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + \frac{C^2}{16} + \frac{C^2}{4\pi}

A = 625 -12.5C + C^2(\frac{1}{16} + \frac{1}{4\pi})

To find the maximum and minimum of this, we can take the first derivative and set that to 0

A^{'} = -12.5 + 2C(\frac{1}{16} + \frac{1}{4\pi}) = 0

C(\frac{1}{8} + \frac{1}{2\pi}) = 12.5

C \approx 44 cm

If we take the 2nd derivative:

A^{''} = \frac{1}{8} + \frac{1}{2\pi} > 0

We can see that this is positive, so our cut at 44 cm would yield the minimum area.

The maximum area would be where you not cut anything and use the total string length to use for either square or circle

if C = 100 then A_C = \frac{C^2}{4\pi} = \frac{100^2}{4\pi} = 795.77 cm^2

if S = 100 then A_S = \frac{S^2}{16} = \frac{100^2}{16} = 625 cm^2

So to yield maximum area, you should not cut at all and use the whole string to form a circle

4 0
4 years ago
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