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Kay [80]
2 years ago
10

A mother is 5 times as old as her daughter. In 6 years she will be 3 times as old as her daughter. How old is the mother and her

daughter?
Mathematics
1 answer:
Serga [27]2 years ago
6 0

Answer:

The mother is 30 and the daughter is 6

Step-by-step explanation:

When solving for this, you can derive the equations

x=5y and x+6= 3(y+6)

x= mother and y= Daughter

Solve the equations by substituting the first equation into the places of x in the second equation to get the value of x. Next, pug in the value of x and solve for y.

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The circumference of a circle is 28 x inches. What is the length of the radius of this circle?
meriva
Answer: 14



Explanation: The radius is half of the value of the circumference.
4 0
3 years ago
Casey deposited $1,450 in a bank account with an interest rate of 4%. How much simple interest was earned in two years?
vekshin1

Answer:

$116

Step-by-step explanation:

The Simple Interest formula is i = prt.  Here,

i = ($1,450)(0.04)(2 yr) = $116

3 0
3 years ago
Find the obtuse angle the line y-2x=7 makes with the x- axis
Kazeer [188]
In analytical geometry, there are already derived equations to find the distance of lines and points as well as the angle made between two lines. As special case is when the other line is one of the coordinate axis. Then, the formula can be simplified to

tan θ =m, where m is the slope of the equation

In the next step, we also incorporate operations of calculus. Since the slope is equal to Δy/Δx, this is equivalent to dy/dx in calculus. Therefore, you can find the slope by differentiating the equation in terms of x.

<span>y-2x=7
y = 2x+7
dy/dx = 2 =m

So,

tan </span>θ = 2
θ = tan⁻¹(2)
θ = 63.43°
5 0
3 years ago
Write an explicit formula for an, the nth term of the sequence 19,24,29
o-na [289]

Answer:

explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

Step-by-step explanation:

We need to Write an explicit formula for an, the nth term of the sequence 19,24,29

In the sequence the First term a₁= 19

Common Difference d= 5

The Formula used for explicit formula is: a_1=First \ term ; \ a_n=a_{n-1}+d

Where d is common difference and n is nth term of sequence.

So, explicit formula for an, the nth term of the sequence 19,24,29

a_1=19 ; \ a_n=a_{n-1}+5

3 0
3 years ago
Se arrastra un bloque de 18 kg a través de una superficie con una fuerza de 300 N en donde el coeficiente de fricción de dicha s
ozzi

Answer:

10.9\ \text{m/s}^2

Step-by-step explanation:

m = Masa del bloque = 18 kg

F = Fuerza en el bloque = 300 N

\mu = Coeficiente de fricción = 0.6

El equilibrio de fuerzas del sistema viene dado por

F-f=ma\\\Rightarrow 300-0.6\times 18\times 9.81=18a\\\Rightarrow a=\dfrac{300-0.6\times 18\times 9.81}{18}\\\Rightarrow a=10.9\ \text{m/s}^2

La aceleración del bloque es 10.9\ \text{m/s}^2.

8 0
3 years ago
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