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lidiya [134]
3 years ago
13

Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis

ter who is two years younger than him. If the product of his sisters' ages is 70, how old is Richard?
Mathematics
1 answer:
alexdok [17]3 years ago
3 0

Answer:

7 years

Step-by-step explanation:

Given that:

Let Richard's age = x

Elder sister's age = 2x

Youngwr sister's age = x - 2

Product of sisters ages = 70

2x * (x - 2) = 70

2x² - 4x = 70

2x² - 4x - 70 = 0

x² - 2x - 35 = 0

x² - 7x + 5x - 35 = 0

x(x - 7) +5(x - 7) = 0

(x - 7) or (x + 5) = 0

x = 7 or x = - 5

X can't be negative

Hence, x = 7

Richard is 7 years

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Arisa [49]

Answer:

<em>(n - 5)(n + 5) </em>

Step-by-step explanation:

a² - b² = (a - b)(a + b)

n² - 25 = n² - 5² = <em>(n - 5)(n + 5)</em>

7 0
2 years ago
Problem PageQuestion Flying against the jetstream, a jet travels 3050 miles in 5 hours. Flying with the jetstream, the same jet
goblinko [34]

Answer: the rate of the jet in still air is 685 mph and the rate of the jetstream is 75 mph

Step-by-step explanation:

Let x represent the rate of the jet in still air.

Let y represent the rate of the jet jetstream.

Distance = speed × time

Flying against the jetstream, a jet travels 3050 miles in 5 hours. This means that the total speed of the jet would be (x - y) mph. Therefore,

3050 = 5(x - y)

3050/5 = x - y

x - y = 610 - - - - - - - - - - - - - -1

Flying with the jetstream, the same jet travels 3800 miles in 4 hours. This means that the total speed of the jet would be (x + y) mph. Therefore,

3800 = 4(x + y)

3800/5 = x + y

x + y = 760 - - - - - - - - - - - - - -2

Adding equation 1 to equation 2, it becomes

2x = 1370

x = 1370/2 = 685mph

Substituting x = 685 into equation 1, it becomes

685 - y = 610

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3 0
3 years ago
Eight less thsn a number divided by three is twelve equation pleaseeee
EleoNora [17]
(X/3) - 8 = 12

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6 0
2 years ago
A circle with the radius of 1cm sits inside a 3cm×4cm rectangle. What is the area of the shaded region?
Tanya [424]

Answer:

8.86

Step-by-step explanation:

Im guessing you want the rectangles area

Finding circle area do radius times radius times 3.14 so 1 x 1 = 1 x 3.14 = 3.14

Rectangle area is length times width so 3 x 4 = 12 - 3.14 = 8.86

8 0
3 years ago
Given m||n, find the value of x.<br> kt<br> (7-10)<br> (6x-5)°
Dennis_Churaev [7]

Answer:

15

Step-by-step explanation:

So, leets look at the graph.

We can see that the lines being solved for tecnically make up 180 degrees.

This is because the value of the angles on line m are equal to the value of the angles on line n.

So, we know that the total line, 180 degrees, is 7x-10, and 6x-5.

Lets combine these two equations, and subtract them from 180 degrees to solve for x:

7x-1+6x-5

=

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Now to solve for x:

13x-15=180

Add 15 to both sides to get 13x alone:

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Then divide both sides by 13 to get x alone:

x=15

So our value of x is 15!

Hope this helps! :)

3 0
2 years ago
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