Answer:
x = 6•3 == 18
18² = 324
324 + 2 + 11 = 337
<h2>337</h2>
Step-by-step explanation:
Order of Operations; PEMDAS
Parentheses
Exponents
Multiplication <u>& Division</u> <em>(Left to Right) (ex: 10x2÷5) You would do whatever comes left for Multiplication or Division.</em>
Addition <u>& Subtraction</u> <em>(Left to Right) (ex: 10-2+5) You would do whatever comes left for Addition & Subtraction.</em>
Answer:
-9 and -4
Step-by-step explanation:
Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
Olivia sold 14 magazines.
Step-by-step explanation:
Total magazines sold = 138
Let,
Magazines sold by Olivia = x
Magazines sold by Quincy = y
Magazines sold by Trenton = z
According to given statements;
x+y+z=138 Eqn 1
Quincy sold three times as many magazines as Olivia.
y = 3x Eqn 2
Trenton sold two less than twice the number of magazines that Quincy sold.
z = 2y-2 Eqn 3
Putting value of y from Eqn 2;
![z=2(3x)-2\\z=6x-2\ \ \ \ Eqn\ 4](https://tex.z-dn.net/?f=z%3D2%283x%29-2%5C%5Cz%3D6x-2%5C%20%5C%20%5C%20%5C%20Eqn%5C%204)
Putting value of y from Eqn 2 and value of z from Eqn 3 in Eqn 1
![x+3x+(6x-2)=138\\4x+6x-2=138\\10x=138+2\\10x=140\\](https://tex.z-dn.net/?f=x%2B3x%2B%286x-2%29%3D138%5C%5C4x%2B6x-2%3D138%5C%5C10x%3D138%2B2%5C%5C10x%3D140%5C%5C)
Dividing both sides by 10
![\frac{10x}{10}=\frac{140}{10}\\x=14](https://tex.z-dn.net/?f=%5Cfrac%7B10x%7D%7B10%7D%3D%5Cfrac%7B140%7D%7B10%7D%5C%5Cx%3D14)
Olivia sold 14 magazines.
Keywords: linear equations, division
Learn more about division at:
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0.363636363636
<span>..................=<span>411</span></span>
Explanation:
Le <span>x=0.363636363636..................</span>
Now as there are two digits repeating immediately after decimal point, we multiply above by 100 and get
<span>100x=36.363636363636..................</span>
Now subtracting first equation from second we get
<span>99x=36</span> and hence <span>x=<span>3699</span>=<span><span>9×4</span><span>9×11</span></span>=<span>4<span>11</span></span></span>