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2 years ago

Which number is greater and by how much? a decreased by 50% and then increased by 50% of the result

Mathematics

1 answer:

zaharov [31]2 years ago

7 0

Answer:

Let's assume the number is 100 now it is increased by 50% that means

100+ (50/100)*100

100+50=150

Now it is decreased by 25% that means

150- (25/100)*150

150–37.5=112.5

Total percentage increase ={(112.5–100)/100}*100

=12.5%

Step-by-step explanation:

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7. What is the slope of the line that passes through the pair of points (3, 8) and (9, 5) ? (1 point)

agasfer [191]

7. D
8. D
9. D
10.C

for 7 & 8 you use the equation
$\frac{y2 - y1}{x2 - x1}$
your points are (3,8) & (9,5)

so you plug the numbers in
y2= 5
y1=8

x2=9
x1=3
you subtract them get a fraction and that is your slope

9 & 10
use the equation
$y - y1 = m(x - x1)$
plug you numbers in for y1 and x2 m is your slope plug it in and that is your equation

5 0

3 years ago

Read 2 more answers

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nirvana33 [79]

Answer:

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5 0

3 years ago

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Using this formula l=A 1/2 what is the length of one side of a square with an area of 1,936 square kilometers? (A is the area of

Vera_Pavlovna [14]

c.)44 kilometers

Answer:

Solution given:

let

length =L

and

Area =A

Now

we have

Area [A]=1936 square kilometers

now

As we know that

Area of square :length *length

A=l*l

A=l²

Substituting value of A

1936=l²

doing square root on both side

$\sqrt{1936}=\sqrt{l²}$

we get

l= $\sqrt{2*2*2*2*11*11}$

l=2*2*11

l=44 kilometers

the length of one side of a square is 44 kilometers.

6 0

2 years ago

2^x=3^x+1 what are the exact approximate solutions

Mashcka [7]

Answer:

Step-by-step explanation:

The goal of course is to solve for x. Right now there are 2 of them, one on each side of the equals sign, and they are both in exponential positions. We have to get them out of that position. The way we do that is by taking the natural log of both sides. The power rule then says we can move the exponents down in front.

$ln(2^x)=ln(3^{x+1})$ becomes, after following the power rule:

x ln(2) = (x + 1) ln(3). We will distribute on the right side to get

x ln(2) = x ln(3) + 1 ln(3). The goal is to solve for x, so we will get both of them on the same side:

x ln(2) - x ln(3) = ln(3). We can now factor out the common x on the left to get:

x(ln2 - ln3) = ln3. The rule that "undoes" that division is the quotient rule backwards. Before that was a subtraction problem it was a division, so we put it back that way and get:

$x(\frac{ln(2)}{ln(3)})=ln(3)$ . We can factor out the ln from the left to simplify a bit: