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2 years ago

5

The Johnson twins were born thirteen years after their older sister. This year, the product of the three siblings' ages is exact

ly 653 more than the sum of their ages.
How old are the twins?

1 answer:

Anton [14]2 years ago

7 0

The twins are 23 years old

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Share $600 between Anna and Raman in the ratio 3:7 and 1:4

Ulleksa [173]

Answer:

3 : 7 =>

Anna = $180

Raman = $420

1 : 4 =>

Anna = $120

Raman = $480

Step-by-step explanation:

<u>Shares when ratio is 3 : 7</u>

Anna : Raman = 3 : 7

Sum of ratio 10

Anna's share=

$\frac{3}{10} \times 600 = \$ 180$

Raman 's share=

$\frac{7}{10} \times 600 = \$ 420$

<u>Shares when ratio is 1 : 4</u>

Anna : Raman = 1 : 4

Sum of ratio = 5

Anna 's share =

$\frac{1}{5} \times 600 = \$ 120$

Raman's share =

$\frac{4}{5} \times 600 = \$ 480$

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3 years ago

Simplify the following expression.

o-na [289]

Answer:

i dont know what you mean but

3x(4x-3) simplified is 12x - 4 or 12x+(-4)

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3 years ago

A hot air balloon descends from an altitude of 2,000 feet at a constant rate of 90 feet per minute. The graph shows the altitude

liberstina [14]

Answer:

y=90x+2,000

Step-by-step explanation:

90 is the rate of change because the hot air balloon descends 90 feet per minute.

And 2,000 is the starting point because the hot air balloon started the descent at 2,000 feet.

6 0

3 years ago

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natulia [17]

Answer:

diagonal = = 12.8 inches (to the nearest tenth of an inch)

Step-by-step explanation:

As shown in the diagram attached to this solution:

Let the Length of the rectangular board = a

Let the width = b

Let the diagonal = d

where:

a = 10 inches

b = 8 inches

d = ?

Triangle ABC in the diagram is a right-angled triangle, therefore, applying Pythagoras theorem:

(hypotenuse)² = (Adjacent)² + (Opposite)²

d² = 10² + 8²

d² = 100 + 64

d² = 164

∴ d = √(164)

d = 12.806 inches

d = 12.8 inches (to the nearest tenth of an inch)

<em>N:B Rounding off to the nearest tenth of an inch is the same as rounding off to 1 decimal place.</em>

3 0

3 years ago

What is the slope of the line that passes through the points (2, 3) <br> and (–2, 6)?

saw5 [17]

Slope = (6 - 3)/(-2-2)
= 3/-4
= -3/4

answer
slope = -3/4

4 0

3 years ago

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