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3 years ago

How did you get 40 as the answer

Mathematics

1 answer:

love history [14]3 years ago

3 0

I dont know how 40 is the answer also i love nuts in my mouth so ya.

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What's 5 - the square root of x + 10 = the square root of 7 - x

Tcecarenko [31]

$\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\
$

$\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
\\\\\\
\begin{array}{lcclll}
x^2&+3x&-54&=0\\
&\uparrow &\uparrow \\
&-6+9&-6\cdot 9
\end{array} \implies (x+9)(x-6)=0\implies 
\begin{cases}
x+9=0\\
\boxed{x=-9}\\
-----\\
x-6=0\\
\boxed{x=6}
\end{cases}$

3 0

3 years ago

PLEASE HELP FOR A COOKIE

nikdorinn [45]

Create a ratio and cross multiply

20x - 75 = 14x + 63
6x = 138
x=23

hope this helps :)

6 0

4 years ago

Over a period of 12 weeks, Carlos ran an average of 21 miles per week. How many kilometers is this? Round your answer to the nea

velikii [3]

Answer:

405.80

Step-by-step explanation:

So, we know Carlos ran 21 miles per week, for 12 weeks....

That makes 21 mi/wk x 12 weeks = 252 miles.

Then we know each km is 0.621 mile.

So, we divide 252 miles by 0.621 mile/km to get= 405.80 km

Dividing miles by miles/km gives us the unit we want (km).

There was a trap in this question, because if instead of dividing the 252 miles by 0.621 you would have multiplied it, you would have gotten another answer listed... just not the right one. :-)

5 0

4 years ago

Mario and his dad decide to start saving for retirement at the same time. Mario is 20 years old and his dad is 40 years old. Bot

const2013 [10]

Answer:

Mario:

we must first calculate the present value of Mario's distributions when he retires:

present value = monthly distribution x annuity factor

monthly distribution = 4,000
PV annuity factor, 300 periods, 0.333% = 189.53178

present value = 4,000 x 189.53178 = $758,127.12

he will make 45 years of contributions to his IRA, which totals 540 monthly contributions

we are not told if the interest rate is effective or not, and how often is interest compounded, so I will just divide it by 12 to calculate the monthly interest rate (same as before) = 0.583333%

the future value of Mario's contributions = monthly contribution x annuity factor

future value = $758,127.12

FV annuity factor, 540 periods, 0.583333% = 3,792.58975

monthly contribution = $758,127.12 / 3,792.58975 = $199.90

Mario's dad:

present value of the annuity when he is 65 = $758,127.12 (same as Mario's)

the future value of his contributions = monthly contribution x annuity factor

future value = $758,127.12

FV annuity factor, 300 periods, 0.583333% = 810.07118

monthly contribution = $758,127.12 / 810.07118 = $935.88

5 0

4 years ago

Determine the slope intercept form of the linear equation x/2-y+6=0

luda_lava [24]

Answer:

General equation of a line:

$y = mx + b$

then express in that form:

$\frac{x}{2} - y + 6 = 0 \\ \\ - y = - \frac{x}{2} - 6 \\ \\ { \boxed{ \boxed{y = \frac{1}{2} x + 6}}}$

4 0

3 years ago