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3 years ago

Dave ran 3.52 miles in the same time

Mathematics

1 answer:

Lisa [10]3 years ago

8 0

Subtract 3.52 - 2.44= 1.08 miles

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Give this problem a try and try to solve this

tia_tia [17]

Answer:

No solution

Step-by-step explanation:

Given equation is,

$\frac{x^{\frac{1}{2}}+x^{-\frac{1}{2}}}{1-x}+\frac{1-x^{-\frac{1}{2}}}{1+x^\frac{1}{2}}-\frac{(4+x)^\frac{1}{2}}{(1-x)^\frac{1}{2}}=0$

$\frac{x^{\frac{1}{2}}+x^{-\frac{1}{2}}}{1-x}+\frac{1-x^{-\frac{1}{2}}}{1+x^\frac{1}{2}}=\frac{(4+x)^\frac{1}{2}}{(1-x)^\frac{1}{2}}$

$\frac{(x+1)}{\sqrt{x}(1-x)}+\frac{(\sqrt{x}-1)}{\sqrt{x}(1+\sqrt{x})}=(\frac{4+x}{1-x})^{\frac{1}{2}}$

$\frac{(\sqrt{x}+1)(x+1)+(\sqrt{x}-1)(1-x)}{\sqrt{x}(1-x)(1+\sqrt{x})}=(\frac{4+x}{1-x})^{\frac{1}{2}}$

$\frac{x\sqrt{x}+x+\sqrt{x}+1+\sqrt{x}-1-x\sqrt{x}+x}{\sqrt{x}(1-x)(1+\sqrt{x})}=(\frac{4+x}{1-x})^\frac{1}{2}$

$\frac{2x+2\sqrt{x}}{\sqrt{x}(1-x)(1+\sqrt{x})}=(\frac{4+x}{1-x})^\frac{1}{2}$

$\frac{2(\sqrt{x}+1)}{(1-x)(1+\sqrt{x})}=(\frac{4+x}{1-x})^\frac{1}{2}$

$\frac{2}{1-x}=(\frac{4+x}{1-x})^\frac{1}{2}$ if x ≠ ±1

$(\frac{2}{1-x})^2=\frac{4+x}{1-x}$ [Squaring on both the sides of the equation]

$\frac{4}{(1-x)}=(4+x)$

4 = (1 - x)(4 + x)

4 = 4 - 4x + x - x²

0 = -3x - x²

x² + 3x = 0

x(x + 3) = 0

x = 0, -3

But both the solutions x = 0 and x = -3 are extraneous solutions, given equation has no solution.

5 0

4 years ago

Read 2 more answers

Michael David $150 from his brother. He has paid back 30% so far. How much money does Michael still owe his brother?

eimsori [14]

150——————100%
x——————-30%
x=150*30/100
x=4500/100
x=$45

He owes his brother $45

7 0

4 years ago

What is the approximate area of the shaded sector in the circle shown below?

BabaBlast [244]

Answer:

The sector given in the figure is a semi-circle because the degree measure of the chord is 180 degrees.

Area of semicircle = 0.5π $r^{2}$ = 0.5π×4.5 = 6.75 sq. inches

4 0

3 years ago

Read 2 more answers

Rewrite in standard form (only) 5x+10y=30 8x +2y=12 -12x+3y=27 -24x-12y=60

tino4ka555 [31]

Answer:

Below in bold.

Step-by-step explanation:

Standard form is Ax + By = C

where A, B and C are integers and A must be positive.

So the first 2 are already in standard form but the last 2 can be converted to standard form by multiplying each term by -1:

-12x+3y=27

= -1*-12x + -1*3y = -1*27

12x - 3y = -27 is the answer.

The last one is:

24x + 12y = -60.

6 0

2 years ago

Is 0.35 greater than 4/9

alexandr1967 [171]

Answer:

Step-by-step explanation:

It is not because 0.35 is less then 4/9 or 0.44444.

4 0

3 years ago

Read 2 more answers