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Snezhnost [94]
3 years ago
15

Detective pi has 5 1/5 quarts of orange juice.She likes to have 2/5 of a quart every morning for breakfast.How many mornings can

Detective pi have orange juice before she runs out
Mathematics
2 answers:
vivado [14]3 years ago
7 0
Detective PI can have 13 days of Orange juice before she runs out
11111nata11111 [884]3 years ago
6 0
Total amount juice = 5 1/5 quarts.
Juice needed every morning = 2/5 quarts.

Find number of mornings:
5 \dfrac{1}{5}  \div  \dfrac{2}{5}

Change to improper fraction:
= \dfrac{26}{5}  \div  \dfrac{2}{5}

Change the divide fraction to multiplication fraction:
= \dfrac{26}{5}  \times  \dfrac{5}{2}

Combine and simplify
= 13

------------------------------------------------------------------------------------------------------
Answer: She can have the orange juice for 13 days before it runs out.
------------------------------------------------------------------------------------------------------
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Please solve these with the full explained answer
statuscvo [17]

ANSWER TO QUESTION 1


The given equation is

4x+10=-26


We add the additive inverse of 10 which is -10 to both sides of the equation to obtain,

4x+10+-10=-26+-10


This gives us,

4x+10-10=-26-10


4x+0=-36


This further simplifies to  


4x=-36


We divide both sides 4 to obtain,

x=-4


ANSWER TO QUESTION 2


Since we got -4 as answer to question one, the next question to answer is

\frac{x}{3}+10=15


We add the additive inverse of 10 which is -10 to both sides to obtain,


\frac{x}{3}+10+-10=15+-10


This gives us,

\frac{x}{3}+10-10=15-10


This simplifies to


\frac{x}{3}+0=5


\frac{x}{3}=5


We now multiply both sides of the equation by 3 to obtain,


3\times \frac{x}{3}=5\times3

This implies that,

x=15


ANSWER TO QUESTION 3


The next equation is 9-2x=35


We add the additive inverse of 9 which is -9 to both sides of the equation to obtain,

9+-9-2x=35+-9

This gives us,

9-9-2x=35-9


This simplifies to,


-2x=26


We multiply both sides by the reciprocal or the multiplicative inverse of -2 to obtain,

-2x\times (-\frac{1}{2})=26\times(-\frac{1}{2})


This gives us,

x=-13


ANSWER TO QUESTION 4.


The next question is \frac{2}{3}x+15=17


We add the additive inverse of 15 to both sides of the equation to obtain,


\frac{2}{3}x+15+-15=17+-15


This evaluates to


\frac{2}{3}x+0=17-15


This implies that,

\frac{2}{3}x=2


We multiply both sides by the multiplicative inverse or the reciprocal of \frac{2}{3}


This implies that,


x=2\times\frac{3}{2}


x=3


ANSWER TO QUESTION 5

The next question to answer is -5x-10=10.


We add the additive inverse of -10 which is 10 to both sides of the equation to obtain,


-5x-10+10=10+10


This gives us,

-5x=20


We through by -10 to obtain,

x=-4


ANSWER TO QUESTION 6

\frac{3}{4}x-9=27


We add the additive inverse of -9 which is 9 to both sides of the equation to obtain,

\frac{3}{4}x-9+9=27+9


This simplifies to;

\frac{3}{4}x=36


We multiply both sides of the equation by the reciprocal of \frac{3}{4} to obtain,

\frac{3}{4}x \times \frac{4}{3}=36\times \frac{4}{3}


x=36\times \frac{4}{3}


x=12\times 4


x=48


ANSWER TO QUESTION 7


The next question to answer is \frac{1}{2}x+13=9.


We add the additive inverse of 13 which is -13 to both sides of the equation to obtain,


\frac{1}{2}x+13+-13=9+-13


This will evaluate to,


\frac{1}{2}x=-4


We now multiply both sides of the equation by 2 to obtain,

x=-4\times 2

x=-8


ANSWER TO QUESTION 8


The last question to solve now is \frac{x-7}{4}=-2


We first of all multiply both sides of the equation by 4 to obtain,


\frac{x-7}{4} \times 4=-2\times 4


This implies that,


x-7=-8


We now add the additive inverse of -7 which is 7 to both sides of the equation to obtain,

x-7+7=-8+7


This implies that

x=-1































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4 years ago
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3 years ago
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Math plz help <br> Geometry
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Rachel has $56.00. if she buys 3 steaks at $8.99 each and 2 pounds of potatoes for $5.99 from the grocery store, how much money
Sergio [31]

Answer:

Answer = $23.44

Step-by-step explanation:

3 x $8.99 = $26.97

For the potatoes 1 x $5.59 = $5.59

$26.97 + $5.59 = $32.56

$56.00 - $32.56 = $23.44

Hope this Helps!

4 0
3 years ago
Read 2 more answers
The side length of a square is represented by the expression 2x + 5. Which expression represents the difference between the area
musickatia [10]

Answer:

4x^2 + 22x + 15

Step-by-step explanation:

The side length of a square is represented by the expression 2x + 5.

The area of a square is given as:

A = a^2

where a = length of side of the square

The area of the square is therefore:

A = (2x + 5)^2\\\\A = (2x + 5)(2x + 5)\\\\A = 4x^2 + 20x + 25

The perimeter of a square is given as:

P = 4a

The perimeter of the square is therefore:

P = 4(2x + 5) \\\\P = 8x + 10

The difference between the area of the square and the perimeter of the square is:

4x^2 + 30x + 25 - (8x + 10)\\\\4x^2 + 30x + 25 - 8x - 10\\\\4x^2 + 30x - 8x + 25 -10\\\\4x^2 + 22x + 15

The expression that represents the difference between the area and the perimeter of the square is:

4x^2 + 22x + 15

7 0
3 years ago
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