Fifteen is no more than a number t divided by 5

A hiker averages 3/8 kilometers per hour. If he hikes for 1/3 hours, how many kilometers does he hike?

balandron [24]

Answer: 1/8 km

Step-by-step explanation:

3/8 * 1/3 = 1/8

5 0

3 years ago

The ratio of boys to girls in a class is 3:2. If there are 36 boys then how many girls are in the class

Mama L [17]

Answer:

They are 12 girls in class

Step-by-step explanation:

7 0

3 years ago

Find the zeros of y = x2 – 6x – 4 by completing the square.

katrin [286]

Answer:

The solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

Step-by-step explanation:

Given the function

$y\:=\:x^2\:-\:6x\:-\:4$

substitute y = 0 in the equation to determine the zeros

$0\:=\:x^2\:-\:6x\:-\:4$

Switch sides

$x^2-6x-4=0$

Add 4 to both sides

$x^2-6x-4+4=0+4$

Simplify

$x^2-6x=4$

Rewrite in the form (x+a)² = b

But, in order to rewrite in the form x²+2ax+a²

Solve for 'a'

2ax = -6x

a = -3

so add a² = (-3)² to both sides

$x^2-6x+\left(-3\right)^2=4+\left(-3\right)^2$

$x^2-6x+\left(-3\right)^2=13$

Apply perfect square formula: (a-b)² = a²-2ab+b²

$\left(x-3\right)^2=13$

$\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}$

solve

$x-3=\sqrt{13}$

Add 3 to both sides

$x-3+3=\sqrt{13}+3$

Simplify

$x=\sqrt{13}+3$

now solving

$x-3=-\sqrt{13}$

Add 3 to both sides

$x-3+3=-\sqrt{13}+3$

Simplify

$x=-\sqrt{13}+3$

Thus, the solutions to the quadratic equations are:

$x=\sqrt{13}+3,\:x=-\sqrt{13}+3$

4 0

3 years ago

the expression y-x equals 0.7 if x and y have certain values. evaluate the following expressions with the same values of x and y

inessss [21]

Answer:

Step-by-step explanation:

y-x=0.7

y=x+0.7, so lets plug in that into the expressions instead of y

1)

(y-x)=

x+0.7-x=

x+0.7+(-x)=

x+(-x)+0.7=

x-x+0.7=

0.7

2)

(x-(x+0.7))/((x+0.7)-x)=

(x-x+0.7)/(x+0.7-x)=

(x-x+0.7)/(x+0.7+(-x))=

(x-x+0.7)/(x+(-x)+0.7)=

(x-x+0.7)/(x-x+0.7)=

0.7/0.7=

1

6 0

3 years ago

What is the slope of the line that passes through the points (3, -2) and (9, -2)?

TiliK225 [7]

$\text{The formula of a slope}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\\text{We have the points (3, -2) and (9, -2). Substitute:}\\\\m=\dfrac{-2-(-2)}{9-3}=\dfrac{0}{6}=0\\\\Answer:\ 0$

4 0

3 years ago