Solve the proportion t+4 / t-2 = 1/4

Michael has some coins in his pocket consisting of dimes, nickels, and pennies. He has two more nickels than dimes, and three ti

velikii [3]

X = number of dimes
x + 2 = number of nickels
3(x + 2) = number of pennies

10x + 5(x + 2) + 3(x + 2) = 52
10x + 5x + 10 + 3x + 6 = 52
18x = 36
x = 2

x = 2 (number of dimes)
x + 2 = 4 (number of nickels)
3(x + 2) = 12 (number of pennies)

Check:
2(10) = 20 cents in dimes
4(5) = 20 cents in nickels
12(1) = 12 cents in pennies
Total = 52 cents

7 0

3 years ago

Read 2 more answers

A tank that holds 6000 gallons of water may be filled by two pipes. One pipe pours water into the tank at the rate of 80 gallons

hammer [34]

Answer:

Below.

Step-by-step explanation:

Working together the rate is 80 + 120 = 200 gallons per minute.

(a) Time to fill tank = 6000 / 200 = 30 minutes.

(b) Let length of time the small pipe was used be x minutes , the the large pipe was used for is 60-x minutes.

Volume delivered by small pipe = y gallons, and by large pipe = 6000-y gallons.

Rate for small pipe = 80 = y/x.

Rate for large pipe = 120 = (6000-y) / 60-x.

y/x = 80

(6000-y) / 60-x = 120

From first equation y = 80x so:

6000 - 80 x = 7200 - 120x

40x = 1200

x = 30

So time for small pipe = 30 and time for large on = 30 minutes also.

C. In a similar way to part B:

y/x = 120

(6000-y) / 34 - x = 200

(6000-120x) / 34 - x = 200

6000 - 120x = 6800 - 200x

80x = 800 so the large pipe on its own took 10 minutes and the small pipe was used for 34 - 10 = 24 minutes.

3 0

2 years ago

ou are having a meeting with the CEO of a technology company. You have interpreted the number of laptops produced versus profit

Mama L [17]

Answer: We can plot the graph with help of below explanation.

Step-by-step explanation:

Since, given equation of polynomial,

$P(x) = x^4 - 3x^3 - 8x^2 + 12x + 16$

End behavior : Since, the leading coefficient of the polynomial is positive and even.

Therefore, the end behavior of the polynomial is,

$f(x)\rightarrow -\infty$ as $x\rightarrow -\infty$

And, $f(x)\rightarrow +\infty$ as $x\rightarrow +\infty$

Points of the curve : since, P(4) = 0

Therefore, (x-4) is the multiple of P(x),

And we can write, $x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x^3+x^2-4x-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16=(x-4)(x+1)(x^2-4)$

$x^4 - 3x^3 - 8x^2 + 12x + 16= (x-4)(x+1)(x+2)(x-2)$

Thus, the roots of equation are 4, 2, -1 and -2.

Therefore, x-intercepts of the polynomial are (4,0) (2,0) (-1,0) and (-2,0)

Also, the y-intercept of the polynomial is ( 0,16)

Thus, we can plot the graph with help of the above information.

4 0

3 years ago

THE RIGHT ANSWER WILL RECIEVE A BRAINLEST AND POINTS AND THANXS!!!

ExtremeBDS [4]

Sorry for the poor graph. The solution to the inequality is
$x \leqslant - 5$

4 0

3 years ago

Triunghiul si elementele lui<br> Geometrie Clasa a -7 ex.11 p.154

Diano4ka-milaya [45]

<span>que debería haber escrito sólo el problema para nosotros tal vez podríamos haber ayudado a continuación .</span>

6 0

3 years ago