I am a number between 60 and 100 My ones digit is 2 less than my tens digit. I am a prime number. What number am I?

Reduce 2/8 to the smallest form and 3/12 to the smallest form

iris [78.8K]

Answer:

1/4 for both

Step-by-step explanation:

2/8 -- you divide 2 by 2 you get 1, 8 divided by 2 is 4 -- 1/4

3/12 -- you divide 3 by 3 you get 1, 12 divided by 3 is 4 -- 1/4

** tip: what you do to one half of the fraction you have to do to the other

hope this helps!

4 0

3 years ago

The solution to -2[1 - 4x] = 3x + 8 is

kvasek [131]

Answer: " 14 " .

________________________

→ " x = 14 " .

________________________

Step-by-step explanation:

________________________

First, let us simplify the expression on the "left-hand side" of the equation:

→ -2(1 −4x) ;

________________________

Note the "distributive property of multiplication" :

→ a(b + c) = ab + ac .

________________________

As such, we can rewrite:

→ -2(1 − 4x) = (-2)(1) + (-2)(-4x) ;

= - 2 + 8x ;

↔ 8x − 2 ;

________________________

Now, rewrite the entire expression:

→ 8x − 2 = 3x + 8 ;

________________________

Subtract "(3x)" from each side of the equation;

and add "2" to each side of the equation:

________________________

→ 8x − 2 − 3x + 2 = 3x + 8 − 3x + 2 ;

to get:

→ 5x = 10 ;

Now, divide each side of the equation by "5" ;

to isolate "x" on side of the equation;

& to solve for "x" ;

________________________

→ 5x/5 = 10/5 ;

to get:

________________________

→ x = 2 .

________________________

Now, let us check our work:

________________________

Plug in "2" for all "x-values" into the original equation;

to see if the equation holds true;

that is, to see if each side of the original equation given has the same value;

when "x = 2" :

________________________

Note the given equation:

________________________

→ -2[1 − 4x] = 3x + 8 ;

________________________

Start with the left-hand side:

→ -2[1 − (4*2)} = -2(1 − 8) = -2(-7) = 14 .

Now, continue with the right-hand side:

→ 3(2) + 8 = 6 + 8 = 14 .

___________________________________

→ 14 =? 14 ??? ; Yes!

___________________________________

Hope this is helpful to you!

___________________________________

5 0

3 years ago

Minimum point of the quadratic x^2+6x-2

WITCHER [35]

Answer:

(-3,-11)

Step-by-step explanation:

Compare the given quadratic equation with the general quadratic equation.

a=1, b=6 and c=-2

$x=-\dfrac{(6)}{2(1)}\\=-3$

Subsitute $-3$ for $x$ in given quadratic equation.

$y=(-3)^2+6(-3)-2\\=9-18-2\\=-11$

The minimum point is (-3,-11).

3 0

2 years ago

PLEASE HELP ME.....

Virty [35]

Answer:

They would meet each other at $01 : 24$ PM.

Step-by-step explanation:

Erik took a trip to see his friend Mike who lives 308 miles away.

He left his place at 10 AM driving at 70 mph.

In 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph.

As Erik left his house at 10 AM driving at 70 mph and in 2 hours, his friend Mike left his place driving towards Erik at an average speed of 50 mph. It means

Erik left his place at 12:00 PM noon.

so, at 12:00 PM Erik had already traveled:

$2\times 70=140\:\:miles$

Miles left $=308-140=168\:\:miles$

Let 't' be the time when they meet

so

$70t\:+\:50t\:=168$

$120t=168$

$\mathrm{Divide\:both\:sides\:by\:}120$

$\frac{120t}{120}=\frac{168}{120}$

$t=\frac{7}{5}$

so

$t=\frac{7}{5}=1.4\:\:hours$

or $1$ hour and $24$ minutes after $12:00$ noon

i.e.

$12\:+\:1.4\:=1\:O'clock\:+\:24\:minutes$

Therefore, they would meet each other at $01 : 24$ PM.

7 0

4 years ago

Which rational number does not have a reciprocal

Dmitriy789 [7]

Answer:

the rational numbers that doesn’t have a reciprocal are [math]0 [/math] (which can also be expressed as [math]\frac {0} {x}, x \neq 0 [/math] ), and any number of the form [math]\frac {x} {0} [/math].

Step-by-step explanation:

8 0

3 years ago