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Brums [2.3K]
2 years ago
12

Determine whether or not the two equations below have the same solution. In two or more complete sentences, explain your rationa

le
2/3x + 3/4 = 8
8x=87
Mathematics
2 answers:
Dimas [21]2 years ago
5 0
These equations do match up. All you have to do is find the solution to the first equation. After that, plug in that solution to the second equation. If it makes the equation true, then the equations match. 

Hope this helps!
zzz [600]2 years ago
5 0
If the two equation have the same solution, the x value of each will be equal.  So we solve each equation for x and see if they are equal...

2x/3+3/4=8

(8x+9)/12=8

8x+9=96

8x=87

x=87/8

And the other equation was:

8x=87 so

x=87/8

Since x=x the equations do have a solution 
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5/8 of the staff are male 5/12 of the staff works part time at the aquarium what is the fraction of the staff being female
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I believe the answer is 3/8. The whole portion of employees, which is translated as 8/8 is deducted by 5/8, which is the population of male employees.
7 0
2 years ago
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each morning papa notes the birds feeding on his birdfeeder. so far this month he has seen 59 blue jays, 68 black crows, 12 red
Vitek1552 [10]
It think it's 59/81.
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2 years ago
The arena wants to estimate the previous two month’s ticket-sale income. In total, 71,115 people attended different events at th
AveGali [126]
Hey there,
Total no. of people= 71,115
Average cost of ticket = 21.15 pounds
Total ticket income= 71,115 x 21.15
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Hope this helps :))

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7 0
2 years ago
Which are the solutions of x2 = –5x + 8? StartFraction negative 5 minus StartRoot 57 EndRoot Over 2 EndFraction comma StartFract
serg [7]

Answer:

x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

Step-by-step explanation:

Given:

The equation to solve is given as:

x^2=-5x+8

Rearrange the given equation in standard form ax^2+bx +c =0, where, a,\ b,\ and\ c are constants.

Therefore, we add 5x-8 on both sides to get,

x^2+5x-8=0

Here, a=1,b=5,c=-8

The solution of the above equation is determined using the quadratic formula which is given as:

x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}

Plug in a=1,b=5,c=-8 and solve for x.

x=\frac{-5\pm \sqrt{5^2-4(1)(-8)}}{2(1)}\\x=\frac{-5\pm \sqrt{25+32}}{2}\\x=\frac{-5\pm \sqrt{57}}{2}\\\\\\\therefore x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

Therefore, the solutions are:

x=\frac{-5-\sqrt{57} }{2}\ or\ x=\frac{-5+\sqrt{57} }{2}

4 0
2 years ago
Read 2 more answers
4400 dollars is placed in an account with an annual interest rate of 8.25%.how much will be in the account after 22 years, to th
iVinArrow [24]

Answer:

Future Value = $2,516,900 cent

Step-by-step explanation:

Here, we're to calculate future values;

Given the following parameters

Investment = $4,400

Interest Rate = 8.25%

Time = 22 years

Amount = ?

Future Value is calculated using the following formula;.

Future Value = Investment * (1 + Interest Rate)^time

Substitute each value;

Future Value = $4,400 * ( 1 + 8.25%)^22

Future Value = $4,400 * (1 + 0.0825)^22

Future Value = $25169.036295801178201749433678664198539199704088854443412123828238691203296184539794921875

Future Value = $25169 --- Approximated

Convert to Cent

Future value = $25,169 * 100 cent/$

Future Value = $2,516,900 cent

Hence, $2,516,900 cent will be in the account after 22 years

6 0
2 years ago
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