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3 years ago

25, 26, 27 which number should you choose if you want to move as many spaces as possible

Mathematics

2 answers:

m_a_m_a [10]3 years ago

8 0

You should obvoously choose 27 lol

Masteriza [31]3 years ago

5 0

I would go with choosing 27

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Find sum or difference. 1/6 + 3/8 A. 4/6 B. 4/8 C. 4/14 D. 13/24

Vaselesa [24]

1/6 + 3/8
= 4/24 + 9/24
= 13/24

answer
D. 13/24

7 0

3 years ago

Read 2 more answers

You want to get from a point A on the straight shore of the beach to a buoy which is 54 meters out in the water from a point B o

anyanavicka [17]

Answer:

$x =\dfrac{45 \sqrt{6}}{ 2}$

Step-by-step explanation:

From the given information:

The diagrammatic interpretation of what the question is all about can be seen in the diagram attached below.

Now, let V(x) be the time needed for the runner to reach the buoy;

∴ We can say that,

$\mathtt{V(x) = \dfrac{70-x}{7}+\dfrac{\sqrt{54^2+x^2}}{5}}$

In order to estimate the point along the shore, x meters from B, the runner should stop running and start swimming if he want to reach the buoy in the least time possible, then we need to differentiate the function of V(x) and relate it to zero.

i.e

The differential of V(x) = V'(x) =0

= $\dfrac{d}{dx}\begin {bmatrix} \dfrac{70-x}{7} + \dfrac{\sqrt{54^2+x^2}}{5} \end {bmatrix}= 0$

$-\dfrac{1}{7}+ \dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}=0$

$\dfrac{1}{5}\times \dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{5x}{\sqrt{54^2+x^2}}= \dfrac{1}{7}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{1}{\dfrac{7}{5}}$

$\dfrac{x}{\sqrt{54^2+x^2}}= \dfrac{5}{7}$

squaring both sides; we get

$\dfrac{x^2}{54^2+x^2}= \dfrac{5^2}{7^2}$

$\dfrac{x^2}{54^2+x^2}= \dfrac{25}{49}$

By cross multiplying; we get

$49x^2 = 25(54^2+x^2)$

$49x^2 = 25 \times 54^2+ 25x^2$

$49x^2-25x^2 = 25 \times 54^2$

$24x^2 = 25 \times 54^2$

$x^2 = \dfrac{25 \times 54^2}{24}$

$x =\sqrt{ \dfrac{25 \times 54^2}{24}}$

$x =\dfrac{5 \times 54}{\sqrt{24}}$

$x =\dfrac{270}{\sqrt{4 \times 6}}$

$x =\dfrac{45 \times 6}{ 2 \sqrt{ 6}}$

$x =\dfrac{45 \sqrt{6}}{ 2}$

8 0

3 years ago

Help me now if i get this one wrong i wont be free

jok3333 [9.3K]

Answer: its the first one "opposite sides with equal length"

5 0

3 years ago

At a movie theater, tickets for children cost $8 each and adult tickets cost $8.75 each. Of ticket sales for a group of 35 peopl

alexandr402 [8]

Answer:

The results don't make sense

Step-by-step explanation:

We can solve by means of a 2x2 system of equations, we have to:

"x" is the number of children's tickets

"y" is the number of adult tickets

Thus:

8 * x + 8.75 * y = 259

x + y = 35 => x = 35 - y

replacing we have:

8 * (35 - y) + 8.75 * y = 259

280 - 8 * y + 8.75 * y = 259

- 8 * y + 8.75 * y = 259 - 280

0.75 * y = -21

y = -21 / 0.75

y = -28

Thus:

x = 35 - (-28) = 63

With these results we notice that the problem has inconsistency, since the value of the tickets cannot be given a negative number, I recommend reviewing the problem, since the approach is correct.

3 0

3 years ago

Can somebody help me find the surface area of this

-Dominant- [34]

Answer:

G. 7600 $cm^{2}$

Step-by-step explanation:

Step 1: Deconstruct the shape

2 rectangles with dimension of 50 cm x 20 cm

2 rectangles with dimension of 40 cm x 20 cm

2 rectangles with dimension of 40 cm x 50 cm

Step 2: Find surface area of the shapes

2(50 x 20) = 2000 $cm^{2}$

2(40 x 20) = 1600 $cm^{2}$

2(40 x 50) = 4000 $cm^{2}$

Step 3: Add the surface areas together

2000 + 1600 + 4000 = 7600 $cm^{2}$

Therefore the surface area is 7600 $cm^{2}$ and the answer is G.

4 0

3 years ago