The number 137.5 is 125% of what number

Answers

Answer 1

Answer: 125% = 1.25

x * 1.25 = 137.5

x = 110

137.5 is 125% of 110

Answer 2

Answer: 125% of x =137,5

125/100 * x= 137.5

5/4 *x=137,5

5x/4= 137,5

x=4*137,5/5

x=4*27,5

x=110

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10^(-10log3) How to solve this???

Answers

$a^(log_ab)=b\nand\nlog_ab^c=c\cdot log_ab\n\n\n10^(-10log3)=10^{log3^(-10)}=3^(-10)\n\n\n3^(-10)=(1)/(3^(10))=(1)/(59\ 049)$

Write the quadratic equation in factored form. Be sure to write the entire equation. x2 - 5x - 24 = 0

Answers

x² - 5x - 24 = 0

x² ⇒ x * x ⇒ (x + __) (x - __)
24 ⇒ 8 * 3
-5 ⇒ - 8 + 3

(x - 8)(x + 3) = 0

x(x+3) - 8(x+3) = x² + 3x - 8x - 24 = x² - 5x - 24

(x-8) = 0
x = 8

(x+3) = 0
x = -3

Answer: $(x-8)(x+3)=0$

Step-by-step explanation:

The standard quadratic equation is $ax^2+bx+c=0$

Given quadratic equation:- $x^2-5x-24=0$ , here a=1, b= -5, c= -24

Now, factorize given functions, first find two numbers that multiply to give ac and add to give b

ac=1×-24= -24

After checking factors of -24 we found -8 and 3 which multiply to give -24 and add to give -5

Rewrite the equation by writing -5 as sum of -8 and 3, we get

$x^2+(-8+5)x-24=0\n\Rightarrow\ x^2-8x+3x-24=0\n\Rightarrow\ (x^2-8x)+(3x-24)=0\n\Rightarrow\ x(x-8)+3(x-8)=0\n\n[\text{Take (x-8) as common outside}]\n\Rightarrow\ (x-8)(x+3)=0$

Pretty please help guys!!

Answers

For #1:

y = x + 4

Parallel lines have the SAME slope, this equation is in the form of y = mx + b, where 'm' is the slope. So the slope here is 1.

To find the equation of a line that passes through (2, 2) and has a slope of 1, we can plug it into point-slope form:

y - y1 = m(x - x1)

Where 'y1' is the y-value of the point, 'x1' is the x-value of the point, and 'm' is the slope.

y - 2 = 1(x - 2)

Distribute 1 into the parenthesis:

y - 2 = x - 2

Add 2 to both sides:

y = x

So your equation is y = x.

IGreen's answer is elegant and totally correct, but I'm guessing that you'll get
confused when you try to dig through it. Allow me to present a simpler method,
if I may:

-- In your picture, we can only see 1, 3, and 5. We can't see enough of 2, 4,
or 6 to work on them.
But ALL six of the problems on this page are examples of the same thing:
Write the equation of a line when you know the slope and one point on the
line. That's it !

Rules to use:

-- The slope-intercept form of the equation of a line is

   y = (slope) x + (intercept)

-- When two lines are parallel, they have the SAME slope.

-- When two lines are perpendicular, their slopes are negative reciprocals.
. . . . . 'negative' means the opposite sign
. . . . . 'reciprocal' means flip a fraction over, or take 1 / (a whole number).
negative reciprocal of 3/4 is (- 4/3)
negative reciprocal of -2 is (+ 1/2)
etc.

And now you're ready to solve all six problems.

#1). through (2,2) and parallel to [ y = x + 4 ] .

"parallel" means the new line has the same slope as [ y = x + 4 ] .
What is the slope of [ y = x + 4 ] ? It's the '1' that's not written next to 'x'.
So the new line is going to be [ y = 1x + b ].
All you need to find is 'b'.

Whatever equation you find for the new line, it'll be true for every point on
the line.
You already know one point on the new line ... (2,2) ... The equation must be
true for this point. Write this point into the new equation:

   y = 1x + b

   2 = 1(2) + b

   2 = 2 + b

What is 'b' ? Subtract 2 from each side, and you have

   0 = b .

So the equation of the new line is [ y = x + 0 ] or just [ y = x ].

That's how to do them when the new line is parallel to a given line.
Now do one where the new line is perpendicular to a given line.

#5). through (1, -5) and perpendicular to [ y = -1/8 x + 2 ].

What's the slope of the new line ? In order to be perpendicular to this one,
the slope of the new one must be the negative reciprocal of -1/8 .
The negative of -(anything) is +.
The reciprocal of 1/8 is 8 .
So the slope of the new line is +8 .
The equation of the new line is . . . [ y = 8x + b ].
How to find 'b' ?
Take the point you know on the new line (1, -5), and write it into this equation:

   -5 = 8(1) + b

Squeeze 'b' out of this, and you have the equation of your new line.

All of the other problems on the page are just like these. All together,
on the whole page, there are 4 problems where the new line is parallel
to the given line, and two problems where the new line is perpendicular
to the given one. You should be able to whip out all six in about 15 minutes.

Good luck.

Find the measures of the numbered angles for each parallelogram. (See attachment)

Answers

Since the figure is a parallelogram, angle 3 is an alternate interior angle with the 50 deg. angle. Hence, m<3 = 50 deg. Angle 2 is supplementary with 82 deg. angle, therefore m<2 = 180 deg - 82 deg = 98 deg. Using angles 2 and 3, angle 1 can be calculated since the total interior angle of a triangle is 180 deg. m<1 = 180 - 98 - 50 = 32 deg.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

<2 = 180 - 82 = 98

<3 = 50

<1 = 180- ( 98 + 50)
<1 = 180 -148
<1 = 32

answer:
<1 = 32
<2 = 98
<3 = 50

The sum of three consecutive intergers is 174. What are the intergers?

Answers

I have no idea what intergers are.

If you were talking about integers (whole numbers) instead,
then you could make 174 with 57, 58, and 59 .

Let the middle integer = x.
That means we have (x-1) + x + (x+1) = 174
3x = 174
x = 58
x-1 = 57
x+1 = 59

Can you please solve for m
2 = m/2-7

Answers

2 = m/2 - 7 Original Problem.
m/2 - 7 = 2 Flip flop the equation around.
m/2 = 9 Add 7 to each side.
m = 18 Multiply each side by 2.

Answer: m = 18

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