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N76 [4]
3 years ago
9

The minimum mark to obtain a Grade A is 75. Cheryn managed to achieve an average of Grade A for three of her English quizzes. Wh

at is the minimum mark she scored in her first quiz if scored 76 and 89 marks in her second and third quiz, respectively?​
Mathematics
1 answer:
Masteriza [31]3 years ago
4 0

9514 1404 393

Answer:

  60

Step-by-step explanation:

Let m represent the mark Cheryn scored on her first quiz. Then her average is ...

  (m +76 +89)/3 ≥ 75

  m +165 ≥ 225 . . . . . . . . multiply by 3

  m ≥ 60 . . . . . . . . . . . . subtract 165

Cheryn scored a minimum of 60 marks on her first quiz.

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If the second number is subtracted from the sum of the first number and 2 times the third number, the result is 1. The thrid num
weeeeeb [17]

Answer:

<h2>x = 0, y = 5, z = 3</h2>

Step-by-step explanation:

x,\ y,\ z-\text{three numbers}\\\\\left\{\begin{array}{ccc}(x+2z)-y=1&(1)\\z+2x=3&(2)\\x+3y+z=18&(3)\end{array}\right\\\\(2)\\z+2x=3\qquad\text{subtract}\ 2x\ \text{from both sides}\\z=3-2x\qquad(*)\\\\\text{Substitute}\ (*)\ \text{to (1) and (3)}\\\\\left\{\begin{array}{ccc}x+2(3-2x)-y=1&\text{use the distributive property}\\x+3y+(3-2x)=18\end{array}\right

\left\{\begin{array}{ccc}x+(2)(3)+(2)(-2x)-y=1\\x+3y+3-2x=18&\text{subtract 3 from both sides}\end{array}\right\\\left\{\begin{array}{ccc}x+6-4x-y=1&\text{subtract 6 from both sides}\\(x-2x)+3y=15\end{array}\right\\\left\{\begin{array}{ccc}(x-4x)-y=-5\\-x+3y=15\end{array}\right\\\left\{\begin{array}{ccc}-3x-y=-5&\text{multiply both sides by 3}\\-x+3y=15\end{array}\right

\underline{+\left\{\begin{array}{ccc}-9x-3y=-15\\-x+3y=15\end{array}\right}\qquad\text{add all sides of the equations}\\.\qquad-10x=0\qquad\text{divide both sides by (-10)}\\.\qquad\boxed{x=0}\\\\\text{Put it to the second equation:}\\-0+3y=15\\3y=15\qquad\text{divide both sides by 3}\\\boxed{y=5}\\\\\text{Put the value of}\ x\ \text{to}\ (*):\\\\z=3-2(0)\\\boxed{z=3}

7 0
3 years ago
Two step educations 3c - 6 = 12 ​
N76 [4]

Answer:

C  =  6

Step-by-step explanation:

Move all terms that don't contain  C  to the right side and solve.

5 0
3 years ago
Read 2 more answers
At an electronics store, a smart phone is on sale for 35% off the original price of $679. If you use the store credit card, you
kifflom [539]

Answer:

The  final price of the smart phone if you use the store credit card is $339.5

Step-by-step explanation:

Given;

original price of the smart phone = $679

initial discount = 35%

additional discount if you use the store credit card = 15%

total discount of the smart phone if you use the store credit card

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The final price of the smart phone, if you use the store credit card is given as;

P = 0.5 X $679

P = $339.5

Therefore, the  final price of the smart phone if you use the store credit card is $339.5

8 0
3 years ago
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