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solmaris [256]
4 years ago
14

Find the value of y for a given value of x, if y varies directly with x

Mathematics
1 answer:
Sophie [7]4 years ago
6 0
It is said that y varies directly to x which can be written as follows:

y = kx

where k is the constant of proportionality. 

To be able to solve the problem, we need to determine the value of k. We do as follows:

y = kx
-252 = k(84)
k = -3

y = -3x
y = -3(74)
y = -222

Hope this helps. Have a nice day.
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3 years ago
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sertanlavr [38]

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3 years ago
Mikhael bought refreshments. Sandwiches were $3 each and bottles of water were $0.75 each. He spent $318.75 on a total of 200 it
olga nikolaevna [1]
Sandwiches = S
Water = W

S + W = 200
S +W -W = 200-W
S = 200-W

$3S + $0.75W = $318.75
$3(200-W) + $0.75W = $318.75
$600 - $3W + $0.75W = $318.75
$600 -$2.25W =  $318.75
$600 - $600 - $2.25W = $318.75 - $600
- $2.25W = -$281.25
-$2.25W/-$2.25 =  -$281.25/-$2.25
W = 125

S = 200-125
S = 75

Mikhael bought 75 sandwiches and 125 bottles of water

CHECK
$3S + $0.75W = $318.75
$3(75) + $0.75(125) = $318.75
$225 + $93.75 = $318.75
$318.75 = $318.75

3 0
4 years ago
Sgt. Merritt has bought a house now that his tour of duty is up. He wants to stain the wood floors of the living room, which mea
Lunna [17]

It costs $ 30240 to stain floor of the entire room

<em><u>Solution:</u></em>

<em><u>Given that,</u></em>

Sgt. Merritt has bought a house now that his tour of duty is up

He wants to stain the wood floors of the living room, which measure 18 x 14

Therefore,

length = 18 yards

Width = 14 yards

<h3><u>Find the area:</u></h3>

Area = length \times width\\\\Area = 18 \times 14\\\\Area = 252

Thus area of wood floors is 252 square yards

<h3><u>How much will it cost to stain floor of the entire room?</u></h3>

The stain costs $120 per square yard

Cost = 252 \times 120\\\\Cost = 30240

Thus it costs $ 30240 to stain floor of the entire room

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3 years ago
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