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Bezzdna [24]
3 years ago
8

Help please thank you

Mathematics
1 answer:
Cerrena [4.2K]3 years ago
5 0

Answer:

1/5 first choice

Step-by-step explanation:

6+1+5+8+3+1=24

8+12+6+5+9+10+6+7+9+7+8+9+6+1+5+8+3+1=120

24/120 divide by 24 for numerator and denominator

=1/5

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Use logarithms to solve each equation 2x9/8=111
Illusion [34]
<span>We have this equation:
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2x^{\frac{9}{8}} = 111

and we need to find the value of x.

First of all, we multiply the whole equation for 1/2, so our goal is to isolate x, therefore:

x^{\frac{9}{8}}=\frac{111}{2}
 
Next step we must do is to apply <span>logarithms:
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logx^{\frac{9}{8}} = log(\frac{111}{2})

Next, we have to apply identities and then to solve the equation:

\frac{9}{8}logx = log(\frac{111}{2})
logx =  \frac{8}{9}log(\frac{111}{2})
logx = 1.5504
10^{logx} =  10^{1.5504}

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7 0
3 years ago
EMERGENCY!<br><br> How many cubes with side lengths of 1/4 cm does it take to fill the prism?
Fantom [35]

Answer:

135 cubes because if you multiply all the sides you get 2 7/64 so then you multiply that with 1/4 and you get 135/256. Just use the top number. I hope this helps!

3 0
2 years ago
A parabola intersects the x-axis at x=3 and x=9 what is the x-coordinate of the parabola's vertex?
KiRa [710]

Here we are given the x intercepts at x=3 and x=9

So let us try to make quadratic equation for this using given information.

We have factors in the form (x-a)(x-b)

where a and b are x intercepts given to us.

So rewriting in factored form:

y=(x-3)(x-9)

Now let us simplify it:

y=x^{2}-12x+27

Let us find the vertex now,

For a quadratic equation of the form:

y=ax^{2}+bx+c

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x=\frac{-b}{2a}

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7 0
3 years ago
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Which inequality represents the value of x that ensures triangle abc exists?
olasank [31]

Answer:

Option A.

Step-by-step explanation:

According to triangle inequality theorem, a triangle exists if the sum of two sides is greater that third side.

Apply this theorem on each combination.

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8x+4>18

8x>14

x>\dfrac{14}{8}

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Case II: (2x+4)+18>6x

2x+22>6x

22>4x

\dfrac{22}{4}>x

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Case III: 6x+18>2x+4

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On combining (1), (2) and (3), we get

\dfrac{7}{4}

Therefore, the correct option is A.

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