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3 years ago

¿Pueden ayudarme con este problema matemático?

Mathematics

1 answer:

yanalaym [24]3 years ago

8 0

Answer:

The answer to your question is: men = 152; women = 76; children = 38

Step-by-step explanation:

Data

People = 266

men, women and children

men = 4 children = 4c

women = 2 children = 2c

children = c

Equation

men + women + children = 266

4c + 2c + c = 266

7c = 266

c = 266/7

c = 38

women = 2(38)

= 76

men = 4(38)

= 152

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15. Construct the slope-intercept form equation of the line passing through (-5,23) and (10,-5).

Radda [10]

Answer:

15y = -28 x + 205.

Step-by-step explanation:

Slope intercept form of equation is y = mx + c where m is slope and c is the y intercept.

Now slope of line passing through points (-5, 23) and (10, -5):

$m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{-5 -23}{10 + 5} = \frac{-28}{15}$

Now equation of line:

y = mx + c

substituting the value of m in above expression,

$y = -\frac{28}{15} x + c$

Now, since the line is passing through the point (-5, 23) therefore, x = -5 and y = 23. By substituting these values in above equation,

$23 = -\frac{28}{15} \times (-5) + c$

$23 = \frac{28}{3} + c$

$c = 23 - \frac{28}{3} = \frac{69 - 28}{3} = \frac{41}{3}$

So equation of line in slope intercept form:

$y = -\frac{28}{15} x + \frac{41}{3}$

Further solving,

15y = -28 x + 205.

3 0

3 years ago

When I count as a principal of $1000 and earns 4% simple interest per year and other account as a principal $1000 and earns 4% i

OLga [1]

Answer: the account that earned compound interest has the greater balance at the end of four years.

Step-by-step explanation:

The formula for determining simple interest is expressed as

I = PRT/100

Where

I represents interest paid on the amount invested.

P represents the principal or amount invested.

R represents interest rate

T represents the duration of the investment in years.

From the information given,

P = 1000

R = 4%

T = 4 years

I = (1000 × 4 × 4)/100 = 160

Total amount earned is

1000 + 160 = $1160

The formula for determining compound interest is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1000

r = 4% = 4/100 = 0.04

n = 1 because it was compounded once in a year.

t = 4 years

Therefore,.

A = 1000(1+0.04/1)^1 × 4

A = 1000(1.04)^4

A = $1170

3 0

3 years ago

I need help in this .each unit costs 14p.how much do 942 units costs?

ValentinkaMS [17]

Answer:

If each unit costs 14 (p?), then 942 units will cost 13,188.

Step-by-step explanation:

942 times 14 is 13,188

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3 years ago

Fencing a feed lot peter plans to fence off a square feed lot and then cross-fence to divide the feed lot into four smaller squa

velikii [3]

6x=480 ft
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8 0

4 years ago

John sales model boats from a booth at a local fair. He purchases each model boat from a distributor for five dollars and the lo

poizon [28]

Answer and explanation:

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John's profit from the sale of model boats can be represented by the equation:

P= 50x-(5x+80)

Where P is profit from the sale of the model boats and x is number of model boats bought and sold. The 80 is constant as it is a fixed cost paid to the local fair.

For example if John buys and sells 20 model boats, he would make profit of:

Substitute x=20 in equation above

P= 50×20-(5×20+80)

P=1000-180

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It could be said that John is in a very profitable business and his profit is also dependent on volume of sales because the lower his sales the closer he gets to making a loss and not profit

7 0

3 years ago