Mathematics, 09.01.2020 04:31 dwilburn01

Julia has to mow two yards. she will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. does she have enough to mow both yards? explain.

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Answer from: zay65307

Julia has enough gallons of gas to mow the two yards.

Step-by-step explanation:

The complete question is :

Julia has to mow two yards.She will need 13/16 gallon of gas to mow the first yard and 2/5 gallon to mow the second yard. She has 1 1/2 gallons of gas in her can. Does she have enough to mow both yards? Explain.

Given:

Julia has to mow 2 yards.

For the first yard she would require $\frac{13}{16}$ gallon of gas.

For second yard she would require $\frac{2}{5}$ gallon of gas.

She has $1\frac{1}{2}$ gallon of gas in her can.

To find if she has enough gas to mow the two yards.

Solution:

In order to find the total gas she would require to mow two yards, we will add the amounts of gas required for each yard.

Total amount of gas required to mow 2 yards is :

⇒ $\frac{13}{16}+\frac{2}{5}$

To add fractions we will need take least common denominator between 16 and 5.

On comparing the multiples of 16 and 5, we find out the least common multiple is 80.

To make the denominators common, we will multiply the numerators and denominators with such a number that gives 80 as denominator.

So, we have:

⇒ $\frac{13\times 5}{16\times 5}+\frac{2\times 16}{5\times 16}$

⇒ $\frac{65}{80}+\frac{32}{80}$

Then, we add the numerators.

⇒ $\frac{97}{80}$

⇒ 1.21 gallons

Julia has $1\frac{1}{2}$ gallons of gas which is = 1.5 gallons.

Since 1.5>1.21, therefore we can say Julia has enough gallons of gas to mow the two yards.

Answer from: Quest

mr. flanders’ class sold 47 doughnuts and mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

$\left\{\begin{array}{l}x+y=85\\1.35x+1.08y=104.49\end{array}\right.\rightarrow \left\{\begin{array}{l}x=85-y\\1.35(85-y)+1.08y=104.49\end{array}\right.$

$114.75-1.35y+1.08y=104.49,\\ \\114.75-104.49=1.35y-1.08y,\\ \\10.26=0.27y,\\ \\y=38,\\ \\x=85-38=47.$

Answer from: Quest

john got lost so he didn't know what to do and it was crazy because he didn't except it

step-by-step explanation:

123123 step byt step

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