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kodGreya [7K]
3 years ago
11

If Y varies directly as X and Y= 79 when X= 49, Find Y if X = 9

Mathematics
1 answer:
ryzh [129]3 years ago
7 0

Answer:

y = 14.5

Step-by-step explanation:

given that y varies directly as x

mathematically,

y ∝ x

y = kx .............................................. where k is the constant of proportionality.

k = y /x

given that

y = 79

x = 49

k = 79/49

k = 1.61

to find y when x = 9

from

y = kx

y = 1.61 × 9

y = 14.5

therefore the value of y when x = 9 in ths variation is evaluated to be equals to 14.5

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A car travels 312 miles in the same time that a motorcycle traveled 272. If the cars speed is 10mph more than the motorcycles, f
dimaraw [331]

Answer: speed of the car is 88 miles per hour

the speed of the motorcycle is 78 miles per hour

Step-by-step explanation:

Number of miles travelled by car = 312

Number of miles travelled by motorcycle = 272

Let x = speed of the car

Let y = speed of the motorcycle

If the car's speed is 10mph more than the motorcycle's, it means

x = y + 10 - - -- - - 1

Time taken for car to travel 312 miles is distance /speed = 312/x

Time taken for motorcycle to travel 272 miles is distance /speed = 272/y

The car travels 312 miles in the same time that a motorcycle traveled 272.

This means

312/x = 272/y

312y = 272x

y = 272x/312

Substituting y = 272x/312 into equation 1, it becomes

x = 272x/312 + 10

312x = 272x + 3120

312x-272x = 3120

40x = 3120

x = 3120/40 = 78 miles per hour

x = y + 10 = y + 78

x = 88 miles per hour

3 0
3 years ago
Completing the Square: results in 2 solutions<br> x^2 + 3x = -2
mr Goodwill [35]
Add 2 to both sdies
now if we can facor, then if
xy=0 then x and/or y=0
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x^2+3x+2=0
what 2 number multiply to get 2 and add to get 3
the numbers are 2 and 1
(x+2)(x+1)=0
set them to zero
x+2=0
subtract 2
x=-2


x+1=0
subtract 1
x=-1



x could be -1 or -2
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4 0
3 years ago
Marco has $75 to spend on new clothes for a job interview. He buys a shirt for $18.28, pants for $42.39, and a tie for $12.97. H
dedylja [7]

Answer:

$1.36

Step-by-step explanation:

First, add together the prices of all the clothes:

18.28 + 42.39 + 12.97

= 73.64

Then, subtract this from 75:

75 - 73.64

= 1.36

So, he will have $1.36 left after buying the clothes

5 0
3 years ago
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Which of the following are examples of irrational numbers?
andreyandreev [35.5K]
√4 + √16 = 2 + 4 = 6   <--- rational
√5 + √36 = √5 + 6   <--- irrational 
√9 + √24 = 3 + √24   <--- irrational
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√49 * √81 = 7 * 9 = 63   <---rational
3√12 = 3√(4 * 3) = (3 * 2)√3 = 6√3    <---irrational

Hope this helps ^-^
5 0
3 years ago
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Mrs McCarr buys 9 packages of markers for an art project. Each packages has 10 markers. How many markers does Mrs McCarr buy?
Alborosie

Answer:

Mrs. McCarr buys 90 markers

Step-by-step explanation:

10 markers per package × 9 packages of markers = 90 markers in total

5 0
3 years ago
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