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2 years ago

Is it true that the 6 in 26.495 is 10 times the value of the 6 in 17.64

2 answers:

8 0

Yes because if you multiply 0.6 by 10, it would equal 6. So yes, the 6 in 26.495 IS 10 times the value of the 6 in 17.64.

andrezito [222]2 years ago

7 0

Yup! The 6 in 26.495 is in the ones place, whereas the 6 in 17.64 is in the tenths place. One is equal to ten tenths, so the ones place has ten times the value. Thus, the statement is true.

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Fernando loves to make music playlists. He likes to keep the same ratio of country songs to rock songs. On his summer playlist,

Ede4ka [16]

Answer:

There are 6 rock songs on Fernando's road trip playlist.

Step-by-step explanation:

Given that he keeps the ratio same

This means that the ratios for both summer playlist and trip playlist will be the same

Let

c1 be the country songs in summer playlist

r1 be the rock songs in trip playlist

Similarly,

c2,r2 will be the country and rock songs in trip playlist

Both will be equal so

$\frac{c_1}{r_1} = \frac{c_2}{r_2}$

Putting the values

$\frac{100}{24} = \frac{25}{r_2}\\100r_2 = 25*24\\100r_2 = 600r_2 = \frac{600}{100}\\r_2 = 6$

Hence,

There are 6 rock songs on Fernando's road trip playlist.

3 0

2 years ago

Help please, tank u :)

elena-s [515]

Answer:

16 ft

Step-by-step explanation:

Let the width of the rectangle be x ft

Therefore, length = (x + 2) ft

Area of the rectangle = 15 square ft

$x(x + 2) = 15 \\ \\ {x}^{2} + 2x = 15 \\ \\ {x}^{2} + 2x - 15 = 0 \\ \\ {x}^{2} + 5x - 3x - 15 = 0 \\ \\ x(x + 5) - 3(x + 5) = 0 \\ \\ (x + 5)(x - 3) = 0 \\ \\ x + 5 = 0 \: or \: \: x - 3 = 0 \\ \\ x = - 5 \: \: or \: \: x = 3 \\ \\ \because \: x \: can \: not \: be \: - ve \\ \\ \therefore \: x = 3 \\ \\ \implies \: x + 2 = 3 + 2 = 5 \\ \\ perimeter \: of \: rectngle \\ = 2(5 + 3) \\ = 2 \times 5 \\ = 16 \: ft$

5 0

2 years ago

Rabbit population can double every 30 days, if there are 20 rabbits on a farm, how many rabbits will be on the farm after 210 da

Art [367]

Knowing the amount doubles every 30 days, we'll have to find how many times it'lll double in the 210-day time frame:

210 / 30 = 7

It doubles 7 times. If we were to write a rough, not worked on expresion representing that, knowing the starting population was of 20, we would write:

(((((((20 * 2) * 2) * 2) * 2) * 2) * 2) * 2) = 2560 rabbits

Hope it helped,

Happy homework/ study exam!

7 0

2 years ago

Read 2 more answers

HELP!

maksim [4K]

Part A

$4x^2 -7x-15=0\\\\(4x+5)(x-3)=0\\\\x=-\frac{5}{4}, 3$

So, the x-intercepts are $\boxed{\left(-\frac{5}{4}, 0 \right), (3,0)}$

Part B

The vertex will be a minimum because the coefficient of $x^2$ is positive.

The x-coordinate of the vertex is $x=-\frac{-7}{2(4)}=\frac{7}{8}$

Substituting this back into the function, we get $f\left(\frac{7}{8} \right)=4\left(\frac{7}{8} \right)^2 -7\left(\frac{7}{8} \right)^2 -15=-\frac{289}{16}$