MATHEMATICS HIGH SCHOOL

There are 420 children in a school. 45% of the pupils are boys. How many boys are there?
How many girls are there?

Answers

Answer 1
Answer: 1 \% = (1)/(100) \n \n 45 \% =(45)/(100)=(9)/(20)\n \n total \ children : 420 \n \n boys : \n \n420 \cdot 45 \% = 420 \cdot (9)/(20)= 21\cdot 9 =189 \n \n girls : \ \n \n 420 -189 = 231
Answer 2
Answer: total children = 420
boys = 45% of 420 = 189 boys
Girls = (100-45)% = 55% of 420 = 231 boys

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Use the quadratic formula to solve the equation. X^2-7x-6=0

Answers

x = -1 
x = -6
 is that one of the options?
your answer is(7+- √(73) )/(2)

or 7+- squareroot 73/2

Find the value of r in (4, r), (r, 2) so that the slope of the line containing them is −53Question 7 options:

a)

−17

b)

-7


c)

7


d)

17

Answers

Answer:

C) 7

===========================================

Work Shown:

Use the slope formula

m = (y2-y1)/(x2-x1)

Plug in the given slope we want m = -5/3 and also the coordinates of the points. Then isolate r

m = (y2-y1)/(x2-x1)

-5/3 = (2-r)/(r-4)

-5(r-4) = 3(2-r) .... cross multiplying

-5r+20 = 6-3r

-5r+20+5r = 6-3r+5r .... adding 5 to both sides

20 = 6+2r

20-6 = 6+2r-6 ....subtracting 6 from both sides

14 = 2r

2r = 14

2r/2 = 14/2 .... dividing both sides by 2

r = 7

The slope of the line through (4,7) and (7,2) should be -5/3, let's check that

m = (y2-y1)/(x2-x1)

m = (2-7)/(7-4)

m = -5/3

The answer is confirmed

Answer:

C)  7

Correct answer

Step-by-step explanation:

For what values of x is the expression below defined?√2x^2 divide by √5x

a/x=0
b.x<0
c.x>0
d.x<1

Answers

√(2x^2):√(5x)\n\n2x^2\geq0\ \wedge\ x > 0\n\nx^2\geq0\ \wedge\ x > 0\n\nx\in\mathbb{R}\ \wedge\ x > 0\Rightarrow x > 0\ (x\in\mathbb{R^+})\n\nAnswer:c.\ x > 0

What inequality represents the verbal expression? All real numbers less than 69.

Answers

Answer
x<69 (Where x represent a real number).

Explanation
An inequality in mathematics is a relationship between two numbers or expressions.
It can be ≥,≤,< or even >.
≥mean greater than or equal to.
≤means less than or equal to
<means less than
>means greater than
Now to answer the question, all real numbers less than 69.
x<69 (Where x represent a real number).

What is .31 as a fraction

Answers

0.31 = 31%
% is out of 100 so 31% is 31 out of 100 which is 31/100 :)

Log2/3 9/4=x+3 ????????????????

Answers

log_{ (2)/(3) } (9)/(4) =x+3\n\nlog_{ (2)/(3) }( (2)/(3))^(-2) =x+3\n\n-2=x+3\n\n-x=3+2\n\n-x=5\ /\cdor(-1)\n\nx=-5
log_{(2)/(3)}(9)/(4)=x^3\n \n \left((2)/(3)\right)^x+3=(9)/(4)\n \n \left((2)/(3)\right)^(x+3)=\left((2)/(3)\right)^(-2)\n \n x+3=-2\n \n x=-2-3\n \n \boxed{x=-5}
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