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motikmotik
3 years ago
7

Bob, Celia, Sam and Daniel gave money to buy their boss a retirement gift. Sam and Daniel each gave the same amount of money. Ce

lia gave $12 more than Daniel. Bob gave half as much as Celia gave. If the four workers contributed a total of $81, how much did Celia give?
Mathematics
1 answer:
cricket20 [7]3 years ago
8 0

here's the equation: x+x+(x+12)+ 1/2(x+12) =81

combine like terms

(x+x+x+1/2x) + (12+6) = 81

simplify

7/2x +18=

subtract 18 from both sides.

7/2x=63

multiply by reciprocal (aka 2/7)

x=18

18+12=30 so celia gave 30.

Hope this helps!

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Line p and q are not parallel, because the two given alternate interior angles are not congruent. (It’s B)

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3 years ago
Find the vertex of the function given below.<br><br> y= x2 - 6x +1
Helga [31]

Answer:

V( 3, -8 )

Step-by-step explanation:

Parable equation is of the form:

( x - h )² = 4p*(y - k)

In that expression, vertex has coordinates V ( h, k )

Then all we have to do is transform the given equation

y = x² - 6x + 1       or     x² - 6x  = y - 1          (1)

We can get a  perfect square trinomial in the first member of the equation according to:

x²  -  6x   =   ( x - 3 )²  - 9

(x - 3 )²   = x² - 6x  + 9

By substitution  en equation (1)

( x - 3 )² - 9 = y - 1

( x - 3 )² = y -1 + 9

( x - 3 )² = y + 8

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Then vertex coordinates are

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3 0
3 years ago
Can someone help me with this<br> S=?
MAXImum [283]

Answer:

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Step-by-step explanation:

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2 years ago
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Lelechka [254]

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2x - 2 < 3 + 3x

Subtract 2x from both sides.

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Subtract 3 from both sides.

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<h3><u>The value of x is greater than the value of -5.</u></h3>
5 0
3 years ago
HELPPPPP PLEASE!! ;)
zmey [24]

Answer:

its 2 8/11

Step-by-step explanation:

i hope this helps have a good day

3 0
2 years ago
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