MATHEMATICS MIDDLE SCHOOL

Solve for Y:
2/3 (y+57 )= 178

Answers

Answer 1
Answer: y= 210  you have to distribute 2/3 to y then to 57 and your equation would be 2/3y + 38= 178 then you take 38 and subtract 178 - 38 and you get 140 then you divide 140/ (2/3) and you will get 210 as your answer.(:

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If I rode a length of 105 minutes for $6.50 and I wanted to ride an extra 30 minutes for $9 more, what is the equation?

Answers

105x=6.50 (first ride)
30x=9 (second ride)

105x+30x=6.50+9

66 is what percent of 120?

Answers

               120 = 100%
                 66 =  x %

120x = 6600
     x = 6600
            120
     x = 55

S = 55%
You would create a proportion ... so since percent is out of 100, you would do 66/120 = x/100. Then you would cross multiply, solving 66x100 (which equals 6000). The final step is to divide that product by the leftover number, which is 120. So you basically would do 6600/120 to get the answer.

When the elevator was out of service, Debi walked down 21 flights of stairs. She stopped to rest after every 3 flights. How many times did Debi stop to rest?

Answers

She stopped to rest every 7 flights.
Debi stopped 7 times to rest.
Just divide 21 by 3

160 miles on 7 gallons of gas

Answers

So I'm assuming that you're trying to find how many miles per gallon, right? 
160/7=22.86
So, rounded to the nearest hundredth, the answer is 22.86 miles per gallon.
Hope this helps!

Determine the smallest integer value of a for which f(x) has imaginary zeroes. Show how you foundthis answer. ​

Answers

1 is the smallest possible integer.

Given that: f(x)=ax^2-2x+5.

The discreminant of this equation is:

b^2-4ac=(-2)^2-4a(5)=4-20a

For imaginary zeros, we must get discreminant less than 0.

So,

4-20a<0\n20a>4\na>(4)/(20)\na>0.2

Next integer of 0.2 is 1.

So 1 is the smallest possible integer.

Learn more: brainly.com/question/20521181

The question is incomplete, the complete question is

Determine the smallest integer value of a for which f(x) = ax² - 2x + 5 has imaginary zeroes. Show how you found  this answer

Answer:

The smallest integer value of a is 1

Step-by-step explanation:

To find the zeroes of a function equate it by 0, then find the values of x which are the zeroes of the function

To find the types of the roots (zeroes) of a function f(x) = ax² + bx + c use the discriminant of the function b² - 4ac

  • If b² - 4ac > 0, then the function has two different real roots
  • If b² - 4ac = 0, then the function has one real root
  • If b² - 4ac < 0, then the function has no real roots (imaginary roots)

∵ f(x) = ax² - 2x = 5

- To find its zeroes equate f(x) by 0

∴ ax² - 2x + 5 = 0

∵ f(x) has imaginary zeroes

- That means the discriminant is less then zero

∴ b² - 4ac < 0

∵ a = a, b = -2 and c = 5

- Substitute them in the inequality above

∴ (-2)² - 4(a)(5) < 0

∴ 4 - 20 a < 0

- Add 20 a to both sides

∴ 4 < 20 a

- Divide both sides by 20

∴ 0.2 < a

- That means a is greater than 0.2

∴ a > 0.2

∵ You must to find the smallest integer value of a

- The first integer greater than 0.2 is 1

∴ a = 1

The smallest integer value of a is 1

2 doctors is______% of 25 doctors

Answers

percent means part out of 100
x%=x/100
'of' means multiply

so
2=x/100 times 25
2=25x/100
2=1x/4
2=x/4
multiply both sides by 4
8=x

answer is 8%
Lol Im guessing .08% all I did was 2/25 and turned it into a percent
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