<img src="https://tex.z-dn.net/?f=convert%20%3A%20%20%20%20-%20%20%5C%5C%20%20%5C%5C%205.5%20%5C%3A%20km%20%5C%3A%20%20%5C%3A%20

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3 years ago

%20%5C%3A%20in%20%5C%3A%20meters%20%5C%3A%20" id="TexFormula1" title="convert : - \\ \\ 5.5 \: km \: \: \: in \: meters \: " alt="convert : - \\ \\ 5.5 \: km \: \: \: in \: meters \: " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

julia-pushkina [17]3 years ago

3 0

Answer:

5500 meters

Step-by-step explanation:

Meters = m

Kilometres = km

We use the general formula,

1 km = 1000 m

Then by using the general formula,

5.5 km = ? m

→ 5.5 km/1 km × 1000 m

→ 5.5 m × 1000 m

→ 5500 m

Hence, the solution is 5500 m.

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Tom put 18 gallons of mid grade gas in his truck and filled up his empty five gallon gas tank with regular gas for his lawn mowe

LuckyWell [14K]

Answer:

Mid grade gas per gallon = $2.67

Regular gas per gallon = $2.37

Step-by-step explanation:

Let, x= mid grade gas, y=regular gas.

So, for 18 gallons of mid grade gas and 5 gallon of regular gas at $59.91, it can be expressed as,

$18x+5y=59.91$ ------------------(equation 1)

for 14 gallon of mid grade gas and 1 gallon of regular gas at 39.75, it can be expressed as,

$14x+y=39.75$ -------------------(equation 2)

$y=39.75-14x$ -------------------(equation 3)

Now substituting the value of y from (equation 3) in (equation 1) we get,

$18x+5y=59.91$

$18x+5(39.75-14x)=59.91$

$18x+198.75-70x=59.91$

$52x=198.75-59.91$

$52x=138.84$

$x=\frac{138.84}{52}$

$x=2.67$ -------------------------(equation 4)

Now substituting value of x from (equation 4) in (equation 3) we get,

$y=39.75-14x$

$y=39.75-(14\times2.67)$

$y=39.75-37.38$

$y=2.37$

Therefore price per gallon of mid grade gas is x = $2.67, and price per gallon of regular gas y = $2.37.

4 0

3 years ago

Please show work! Thank you

xz_007 [3.2K]

A) The greatest rectangular area will be the area of a square 10 m on each side, 100 m^2.

b) The new dimensions will be 11 m × 11 m.
.. The new area will be (11 m)^2 = 121 m^2.

c) The area was increased by 121 m^2 -100 m^2 = 21 m^2, or 21%.

d) Yes, and no.
.. If you increase the dimensions by 10%, the area will increase by 21%.
.. (40 m)^2 = 1600 m^2
.. (44 m)^2 = 1936 m^2 = 1.21*(1600 m^2), an increase of 21% over the original.

.. If you increase the dimensions by 1 unit, the area will increase by (2x+1) square units, where x is the side of the original. For x≠10, this is not 21 square units.
.. (41 m)^2 = 1681 m^2 = 1600 m^2 +(2*40 +1) m^2 = 1600 m^2 +81 m^2

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3 years ago

Using the formula below, find F, when f = 1000 and r = 8

Kaylis [27]

Answer: 15.625

Step-by-step explanation:

F = 1000/(8^2) = 1000/64 = 15.625

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3 years ago

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What is 0.42857142857 as a fraction?

inna [77]

Answer:

What is 0.42857142857 as a fraction?

To write 0.42857142857 as a fraction you have to write 0.42857142857 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.

0.42857142857 = 0.42857142857/1 = 4.2857142857/10 = 42.857142857/100 = 428.57142857/1000 = 4285.7142857/10000 = 42857.142857/100000 = 428571.42857/1000000 = 4285714.2857/10000000 = 42857142.857/100000000 = 428571428.57/1000000000 = 4285714285.7/10000000000 = 42857142857/100000000000

And finally we have:

0.42857142857 as a fraction equals 42857142857/100000000000

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4 years ago

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Pls help I give brainliest to the best!!!!!!!!!!

Neporo4naja [7]

Answer:

−2m+3

Step-by-step explanation:

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3 years ago

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