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3 years ago

Enter your answer, in simplest radical form.

Mathematics

1 answer:

Alexus [3.1K]3 years ago

4 0

Answer: 30x $\sqrt{2y}$

Step-by-step explanation:

$\sqrt{6x}$ x $\sqrt{15xy}$ x $\sqrt{20}$

This can also be written as :

$\sqrt{6x.15xy.20}$

= $\sqrt{1800x^{2}y}$

which could be written as :

$\sqrt{900x^{2}}$ x $\sqrt{2y}$

= 30x $\sqrt{2y}$

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Karen and Maria each open a savings account at the same time. They only make deposits into their accounts and do not make withdr

lina2011 [118]

The amount in Maria's account is $79.

The amount in Karen's account is $73.

Step-by-step explanation:

Karen deposits $28 into her account and she deposits $5 each week into her account.

From this given information, the equation can be framed as y = 28+5x ----(1)

where,

y is the total amount deposited.
x is the number of weeks the particular amount is deposited.

The equation for Maria's account is given as y = 7+8x ------(2)

To find the no.of weeks at which they both have same amount of money :

Equating the equations (1) and (2),

⇒ 28 + 5x = 7 + 8x

⇒ 28-7 = 8x-5x

⇒ 21 = 3x

⇒ x = 21/3

⇒ x = 7 weeks

After 7 weeks, the money in the account of Karen & Maria will be same.

To find the amount of money in each girl's account after 2 weeks :

It is given that, you have to calculate amount of money that each girl has in her account 2 weeks after they have the same amount of money in their accounts.

We already know that, it takes 7 weeks for them to have same amount.

So, 7 weeks + 2 weeks = 9 weeks

You have to calculate the amount in each girl's account after 9 weeks.

Karen's account :

Substitute x=9 in eq(1),

⇒ y = 28+5(9)

⇒ y = 28+45

⇒ y = 73

The amount in Karen's account is $73.

Maria's account :

Substitute x=9 in eq(1),

⇒ y = 7+8(9)

⇒ y = 7+72

⇒ y = 79

The amount in Maria's account is $79.

4 0

3 years ago

Hiw ti factorise x*-16

ra1l [238]

Im assuming the problem is x^2-16, which would be factored to (x-4)(x+4)

7 0

3 years ago

When a graphed line is vertical, it indicates that the relation is ?

GuDViN [60]

Answer:When a vertical line is placed across the plot of this relation, it intersects the graph more than once for some values of x. If a graph shows two or more intersections with a vertical line, then an input (x-coordinate) can have more than one output (y-coordinate), and y is not a function of x.

Step-by-step explanation:

6 0

3 years ago

What is the measure of angle x?

tankabanditka [31]

Answer:

could you upload a picture?

Step-by-step explanation:

7 0

2 years ago

Each side of a square is increasing at a rate of 6 cm/s. At what rate is the area of the square increasing when the area of the

siniylev [52]

Solution: 48cm/s^2

Working:

A = s^2

Derivate s^2 (as it is area formula) which gives

dA/dt = 2s dL/dt

dL/dt = 6cm/s

Hence,

2(6) = 12

Side: 4cm

Hence,

dA/dt = (4)(12) = 48cm/s^2

Feel free to mark this as brainliest :D

7 0

3 years ago