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10. Amina is currently twice as old as her younger brother,

maks197457 [2]

Answer:

When Amina is 18. Saad would be;

k. 14

Step-by-step explanation:

Let "x" represent Anita's current age and let "y" represent Saad's current age, we have;

Anita's age = 2 × Saad's age

Therefore;

x = 2 × y...(1)

In 4 years, we will get;

x + 4 = 1.5 × (y + 4)...(2)

Substituting the value of x in equation (1) into equation (2), we get;

2·y + 4 = 1.5·y + 1.5 × 4 = 1.5·y + 6

2·y + 4 = 1.5·y + 6

2·y - 1.5·y = 6 - 4 = 2

0.5·y = 2

y = 2/0.5 = 4

Saad's current age = y = 4 years

From equation (1), we have;

x = 2 × y = 2 × 4 = 8

Amina's current age = x = 8 years

When Amina is 18, we have;

18 = 10 + 8 = 10 + x

Therefore, Amina would be 18 in 10 years time from now, from which we have;

Saad would be 10 years + y = 10 years + 4 years = 14 years in 10 years from now

Therefore, when Amina would be 18 years in 10 years from now Saad would be 14 years.

6 0

3 years ago

Hiiiiiii help me thanks!

Arisa [49]

Would the answer be one isosceles triangle sorry if you get it wrong I’m kinda slow 10-9=1

6 0

3 years ago

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The diagonals of rectangle ABCD intersect at point E. If AE = 2x + 5, and BD = 5x + 2, what is AC?

Mkey [24]

C. 42 units

Step-by-step explanation:

I have attached a diagram to help you understand this problem. By looking at the diagram you can see that AE is half of BD, and that BD will be equal to AC. So we need to figure out the length of line BD to get AC.

To do this, you will multiply the length of AE by 2 and set it equal to BD.

$2(2x+5)=5x+2$

Then distribute, multiply what is in the parentheses by 2.

$4x+10=5x+2\\\\$

Subtract 4x from both sides.

$10=1x+2$

Subtract 2 from both sides.

$8=1x$

x = 8

Now that we have x, we can plug it into the equation to find BD.

$5 * 8 + 2=42$

BD is equal to 42 units, so we know...

AC = 42 units

4 0

3 years ago

A new movie is released each year for 8 years to go along with a popular book series. Which movie is 5 minutes longer than the l

Vinil7 [7]

Answer:

$\boxed{\text{12 h 20 min}}$

Step-by-step explanation:

1. Find the eighth term

You have an arithmetic sequence. It starts at 75 and each successive term is 5 more than the one preceding it

The general formula for the nth term (aₙ) is

aₙ = a₁ + (n - 1)d

where a₁ is the first term and d is the common difference (5) between consecutive terms. Thus,

a₈ = 75 + (8 - 1) × 5 = 75 + 7 × 5 = 75 + 35 = 110

2. Find the sum

The formula for sum of the first n terms of an arithmetic sequence is

$S_{n} & = & \dfrac{n(a_{1} + a_{n})}{2}$

So

$\begin{array}{rcl}S_{8}& = & \dfrac{8(75 +110)}{2}\\& = & 4 \times 185\\& = & \text{740 min}\\& = & \textbf{12 h 20 min}\\\end{array}\\\text{The total length of all eight movies is }\boxed{\textbf{12 h 20 min}}$

4 0

3 years ago

Which statements are true regarding the prism?

nlexa [21]

Answer:

A , b & c

Just did it

Step-by-step explanation:

3 0

3 years ago

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