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Alexandra [31]
3 years ago
10

$480 is shared in the ratio 4:3:5

Mathematics
1 answer:
Rudiy273 years ago
3 0
Count the ratios together
4+3+5=12

Now multiply the $480 into the ratios over the total ratios

4/12 x 480= $160

3/12 x 480= $120

5/12 x 480=$200

4 : 3 : 5
$180:$120:$200

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6 0
3 years ago
A rectangle whose length is 7 units less than four times it’s width ?
Ghella [55]

The length would be 21 and the width would be 28.

3 0
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4 years ago
..vertex: (4, -1)<br> f(3) = -6
s344n2d4d5 [400]

Answer:

\huge\boxed{f(x)=-5(x-4)^2-1=-5x^2+40x-81}

Step-by-step explanation:

The vertex form of an equation of a parabola:

f(x)=a(x-h)^2+k

(h;\ k) - vertex

We have

vertex (4;\ -1)\to h=4;\ k=-1

f(3)=-6

Therefore we have:

f(x)=a(x-4)^2+(-1)=a(x-4)^2-1

Substitute x=3 and f(3)=-6

a(3-4)^2-1=-6\qquad|\text{add 1 to both sides}\\\\a(-1)^2=-6+1\\\\a(1)=-5\\\\a=-5

Finally:

f(x)=-5(x-4)^2-1=-5(x^2-2(x)(4)+4^2)-1\\\\=-5(x^2-8x+16)-1=-5x^2+(-5)(-8x)+(-5)(16)-1\\\\=-5x^2+40x-80-1=-5x^2+40x-81

4 0
3 years ago
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The lengths of parallel sides is 19 and 29.2 inches.

Using the values in the above formula, we get:

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So, the correct answer is option C
4 0
3 years ago
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