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3 years ago

The value of y varies directly with x. When y=2 2/5,x=3/5 what is the value of y when x is 4/5

Mathematics

1 answer:

9966 [12]3 years ago

4 0

Answer:

the correct ans should be 88/15

Step-by-step explanation:

since, y is directly proportional to x then,

y=kx where k=proportionality constant

when y=22/5 and x=3/5

or,22/5=k*3/5

or,22/5*5/3=k

•°•k=22/3

now, when x=4/5

we know,

y=kx

or,y=22/3*4/5

•°•y=88/15

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If a triangle has angles 42 and 35 degrees , what is the measure of the third angle ?

alekssr [168]

Answer:

Triangle = 180 Degrees, so 77.

Step-by-step explanation:

42+35+x=180

x = 77

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3 years ago

Notebooks cost $1.20 each. This weekend they will be $.80 What percentage is the sale?

geniusboy [140]

The sale is 33% off notebooks. This can be found by first subtracting .8 from 1.2

1.2-.8=.4 Now divide .4 by 1.2 to get your answer.

$\frac{.4}{1.2}$ =.33

.33=33%

You can also solve this mentally because if you know your basic multiplication tables, 3*4=12 and so $\frac{2}{3}$ of 12 would equal 8.

Does you understand it now?

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3 years ago

Thanks in advance to all the people who provided support to my problem!

sashaice [31]

Answer as an improper fraction: 7/4

Answer as a mixed number: 1 & 3/4

Answer in decimal form: 1.75

Each answer above is a different way to represent the same distance

=========================================

Explanation:

I'm assuming the total distance is 5&1/4. This converts to the improper fraction 21/4 through the use of the formula below

a & b/c = (a*c+b)/c

In this case, a = 5, b = 1 ,c = 4

If each leg of the race is x miles, then the three legs add to x+x+x = 3x miles total. Set this equal to 21/4 and solve for x

--------------------------

3x = 21/4

(1/3)*3x = (1/3)*(21/4)

x = (1*21)/(3*4)

x = (21/3)*(1/4)

x = 7*(1/4)

x = 7/4

-------------------------

Each leg is 7/4 miles. Lets convert this to a mixed number through long division.

7/4 = 1 remainder 3

The two results above indicate that 7/4 = 1 & 3/4

To help confirm this, imagine you had 7 slices of pie and 4 people to divide those 7 slices among. Each person will get 1 slice meaning there are 7-4 = 3 slices leftover, aka the remainder.

If you need the answer in decimal form, then 1 & 3/4 = 1 + 3/4 = 1+0.75 = 1.75

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3 years ago

A patio deck in the shape of a parallelogram has three square cutouts for trees to grown through. Each square has a side length

luda_lava [24]

The area of the deck is 50.4 x 22 = 1108.8 square ft.

The area of 1 cut out is 4.5 x 4.5 = 20.25

There are 3 cut outs so total area of the cut outs is 20.25 x 3 = 60.75 square ft.

The total area of the boards is : 1108.8 - 60.75 = 1048.05 square feet.

7 0

3 years ago

Graph the second equation to find the solution of the system of equations.