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babymother [125]
4 years ago
15

a mower uses 5/16 gallon of gas to mow the back yard. the side yard is only 2/3 the size of the backyard. How much gas will be n

eeded to mow the side yard?
Mathematics
1 answer:
Trava [24]4 years ago
3 0

Answer:

(5/24) gallons of gas to mow the side yard

Step-by-step explanation:

We can easily solve this proble by applying a rule of three

5/16 gallons of gas  ---------------------------------  for 1 backyard

x  gallons of gas ------------------------------------- 2/3 backyard

x = ((2/3)/1)*(5/16) gallons of gas

x = ((2/3))*(5/16) gallons of gas

x = ((10/48) gallons of gas

x = (5/24) gallons of gas

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dalvyx [7]

Answer:

Any value of x

<em></em>

Step-by-step explanation:

Given

f(x) = \sqrt{x^2 - 1}

g(x) = \sqrt{x^2 + 1}

Required

What value of x is  f(g(x)) = g(f(x))

Solving for f(g(x))

f(x) = \sqrt{x^2 - 1}

f(g(x)) = \sqrt{(\sqrt{x^2 + 1})^2 - 1}

Solve the inner square

f(g(x)) = \sqrt{(x^2 + 1 - 1}

f(g(x)) = \sqrt{x^2 } }

f(g(x)) = x

Solving g(f(x))

g(x) = \sqrt{x^2 + 1}

g(f(x)) = \sqrt{(\sqrt{x^2 - 1})^2 + 1}

g(f(x)) = \sqrt{x^2 - 1 + 1}

g(f(x)) = \sqrt{x^2 }

g(f(x)) = x

Equate f(g(x)) and g(f(x))

f(g(x)) = g(f(x))

x = x

<em>This implies that </em>f(g(x)) = g(f(x))<em> at any value of x</em>

8 0
4 years ago
Simplify the polynomial
zimovet [89]

Answer:D

Step-by-step explanation:

-(5j²+2j-7)-(3j+2)=-5j²-2j+7-3j-2= -5j²-5j+5

3 0
3 years ago
pyramid A has a volume of 60mm and pyramid B has a volume of 937.5mm what is the ratio of the heights
dexar [7]

Answer:I think 0.4

Step-by-step explanation: Hope this helps

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2 years ago
INPORTANT PLS HELP<br><br> Find the area of the figure.<br><br> The area is( )square feet.
likoan [24]

Answer:

120 ft^2

Step-by-step explanation:

if we cut it in the middle, we get two parallelogram

area of parallelogram = base * height

= 12 * 5 =60 ft^2 for one parallelogram

60 * 2 =120 ft^2 for two parallelogram, that's is the total area of the figure

5 0
2 years ago
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sattari [20]

Answer: The interest is: $150.00

The formula we'll use for this is the simple interest formula, or:

Where:

   P is the principal amount, $6000.00.

   r is the interest rate, 5% per year, or in decimal form, 5/100=0.05.

   t is the time involved, 6....month(s) time periods.

   Since your interest rate is "per year" and you gave your time interval in "month(s)" we need to convert your time interval into "year" as well.

       Do this by dividing your time, 6- month(s), by 12, since there's 12 months in 1 year.

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To find the simple interest, we multiply 6000 × 0.05 × 0.5 to get that:

The interest is: $150.00

8 0
3 years ago
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