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Alchen [17]
2 years ago
15

In a survey, 85% of those who responded to a survey were over 40 and voted in this last election. If the population of a town wa

s 15,000, how many people were over 40 and voted?
Mathematics
1 answer:
Advocard [28]2 years ago
5 0

we want to in 85% of the total population

percent means parts out of 100 so 85% is 85/100

85% 'of' 15000 means 85/100 times 15000=12750 people who were over 40 and voted

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Learning Task 4. Solve the problem by applying the sum and product of roots
Delvig [45]

Answer:

<em>Thus, the dimensions of the metal plate are 10 dm and 8 dm.</em>

Step-by-step explanation:

For a quadratic equation:

x^2+bx+c=0

The sum of the roots is -b and the product is c. Note the leading coefficient is 1.

We know the perimeter of the rectangular metal plate is 36 dm and its area is 80 dm^2. Being L and W its dimensions, then:

P=2(L+W)=36

A=L.W=80

Note both formulas are closely related to the roots of the quadratic equation, we only need to adjust the data for the perimeter to be exactly the sum of L+W and not double of it.

Thus we use the semi perimeter instead as P/2=L+W=18

The quadratic equation is, then:

x^2-18x+80=0

Factoring by finding two numbers that add up to 18 and have a product of 80:

(x-10)(x-8)=0

The solutions to the equation are:

x=10, x=8

Thus, the dimensions of the metal plate are 10 dm and 8 dm.

6 0
3 years ago
Aaron has a triathlon. Sunday he bikes 12 5/8 miles and swims 5 2/3 miles. Monday, he runs 6 3/8 miles. How many total miles Aar
Alla [95]
Let’s put these into one fraction each:

Biking:
= (12*5)/8 miles
= 60/8 miles
This can be reduced to,
= 15/2 miles

Swimming:
= (5*2)/3 miles
= 10/3 miles

Running:
= (6*3)/8 miles
= 18/8 miles
This can be reduced to,
= 9/4

Now we add all the distances up:
= (15/2) + (10/3) + (9/4)

Now we just can add the numerators and the denominators. We must find the lowest common factor (LCF) for our 3 denominators (2,3,4). Our LCF turns out to be 12. *Remember what we do to the denominator we must do to the numerator. So:
= (15/2) + (10/3) + (9/4)
= [(15*6)/12] + [(10*4)/12] + [(9*3)/12]
= (90/12) + (40/12) + (27/12)
= (157/12)
Therefore Aaron Ran 157/12 miles or 13.08 miles.

Hope this helps!
4 0
3 years ago
Estimate the answer by first rounding each value,then performing the operation
Gekata [30.6K]
First rounding off the both values.. 
Answer = 53300 * 600
= 31980000

%age error = [(53300*600 - 53320*599) / (53320*599) ]*100
=0.1%

6 0
3 years ago
Find the measure of &lt;2
Maslowich
◆ LINES AND ANGLES ◆

as \: shown \: in \: figure , \\ \\ angle \: 1 \: and \: angle \: 2 \: form \: linear \: pair \: , \\ \\ therefore \: \: , \\ \: \\ angle \: 1 \: \: + \: \: angle \: 2 = 180 \\ \\ given \: that \: angle \: 1 = 40 \\ \\ 40 + angle \: 2 = 180 \\ \\ angle \: 2 = 140 \: ans.

8 0
3 years ago
in a certain town there were 113 robberies last year this year the number of robberies has gone down 14% how many robberies were
Aleonysh [2.5K]

Answer:

99 robberies

Step-by-step explanation:

What you are basically doing is taking the discount.

1 + 14% = 1.14

113 / 1.14 = 99.12

6 0
3 years ago
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