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3 years ago

8

Sarah has an older sister and a younger sister. Her older sister is one year more than twice Sarah's age. Sarah younger sister i

s three years younger than she is. The sum of their three ages is 26. Formulate 3 equations that describes the situation.

1 answer:

Alchen [17]3 years ago

8 0

Sarah has 7 years, sarah's older sister is 15, and sarah's younger sister is 4 because 7+15+4=26 hope this helps

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Three-fifths of the students in a room are girls. One-third of the girls have blond hair. One-half of the boys have brown hair.

yan [13]

Answer:

a. Of all the students, $\frac{1}{5}$ are girls with blond hair.

b. Of all the students, $\frac{1}{5}$ are boys without brown hair.

Step-by-step explanation:

a. You know that $\frac{3}{5}$ of the students are girls (This means that $\frac{2}{5}$ of the studes are boys) and $\frac{1}{3}$ of these girls have blond hair.

Then, $\frac{1}{3}$ of $\frac{3}{5}$ is:

$(\frac{3}{5})(\frac{1}{3})=\frac{1}{5}$

Therefore, of all the students, $\frac{1}{5}$ are girls with blond hair.

b. You know that $\frac{1}{2}$ of the boys have brown hair.

Then, $\frac{1}{2}$ of $\frac{2}{5}$ is:

$(\frac{2}{5})(\frac{1}{2})=\frac{1}{5}$

Of all the students, $\frac{1}{5}$ are boys without brown hair.

8 0

3 years ago

A brick of mass 4 kg hangs from the end of a spring. When the brick is at rest, the spring is stretched by 3 cm. The spring is t

Zielflug [23.3K]

Answer:

Step-by-step explanation:

In this system we have the force of the spring and the gravitational force. The equation that describes that is

$F_{s}+F{g}=ma\\k(y_0+y)-mg=ma$

where y0 is the equilibrium position when the string is free and y0+y is the new equilibrium position when the object is hanged of the string. By replacing by derivatives we have

$ky_0+ky-mg=ma\\mg+ky-mg=ky=ma\\\\ky=m\frac{d^2y}{dt^2}\\\\my''+ky=0$

the solution for this differential equation is (by using the characterisic polynomial)

$y(x)=Acos(kt)+Bsin(kt)\\k=\omega^2m$

hope this helps!!

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4 years ago

Read 2 more answers

Write an equation in point slope form of the line through point J(4,1) with slope -4

lara [203]

Answer:

y - 1 = -4(x - 4)

Step-by-step explanation:

The point-slope form looks like y-k = m(x-h), where (h,k) is a point on the line and m is the slope.

Here, y - 1 = -4(x - 4). This is in point-slope form.

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4 years ago

Which of the following expressions are equivalent to 12x+20? Select all that apply.

GalinKa [24]

Answer:

C

Step-by-step explanation:

4(3x+5) = 12x+20

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3 years ago

A jar contains black and white marbles in the ratio 2:5. If the jar contains total of 35 marbles, how many of the marbles are bl

Svet_ta [14]

Answer:

10 black marbles

Step-by-step explanation:

Let black marbles be=2x

Then white marbles=5x

Total marbles=7x which in turn is equal to 35. Hence x=5

Black marbles=2*5=10

H2H

8 0

3 years ago