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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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Write the monomial in standard form. name it's coefficient and identify its degree.
Hunter-Best [27]

Answer:

Standard\ Form = {3n^2} m^{-2}

Step-by-step explanation:

Given

\frac{2}{3m^2n} * 4.5n^3

Required

Write in Standard Form

To start with; the two monomials have to be multiplied together;

\frac{2}{3m^2n} * 4.5n^3

Standard\ Form = \frac{2 * 4.5n^3}{3m^2n}

Split the numerator and the denominator

Standard\ Form = \frac{2 * 4.5 * n^3}{3 * m^2 * n}

Multiply Like terms

Standard\ Form = \frac{9 * n^3}{3 * m^2 * n}

Divide 9 by 3 to give 3

Standard\ Form = \frac{3 * n^3}{m^2 * n}

Divide n³ by n to n²

Standard\ Form = \frac{3 * n^2}{m^2 }

Split fraction

Standard\ Form = {3 * n^2} * \frac{1}{m^2 }

From laws of indices;

\frac{1}{a^n} = a^{-n}

Standard\ Form = {3 * n^2} * \frac{1}{m^2 } becomes

Standard\ Form = {3 * n^2} * m^{-2}

Multiply all together

Standard\ Form = {3n^2} m^{-2}

5 0
3 years ago
What is the slope of the line?
mr Goodwill [35]

Answer:

infant/0

Step-by-step explanation:

it goes up forever

8 0
2 years ago
An ice cream cone has a diameter of 3 inches.The distance from the top of the cone to the point at the bottom (height) is 5 inch
solong [7]

Answer:

11.781 cubic inches (round accordingly)

Step-by-step explanation:

The formula for the volume of a cone is:

V=\frac{1}{3}\pi  r^{2} h

where r is the radius and h is the height.

For our ice cream cone:

d = 3 inches

r = 1.5 inches (the radius is half of the diameter)

h= 5 inches

So all we have to do is plug in our values and solve for the volume:

\frac{1}{3}\pi  (1.5)^{2}(5) = 11.781

So our final answer is around 11.8 cubic inches.

3 0
3 years ago
Curtis decided to go on a road trip to Canada. On the first day of his trip, he drove for 14 hours and traveled 840 miles. At wh
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Answer:

A

Step-by-step explanation:

He traveled at a rate of 60MPH

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3 years ago
on tuesday a local hamburger shop sold a combined total of 348 hameburgers and cheeseburger. the number of cheeseburger sold was
ANTONII [103]

Answer:

There were 261 Cheeseburgers and 87 Hamburgers sold on Tuesday

Step-by-step explanation:

Lets write some equations where H=Hamburgers and C=Cheeseburgers:

1) H+C=348

2) C=3H

1) Substitute 3H as C in the first equation:

3H+H=348

2) Combine alike terms:

4H=348

3) Divide both sides by 4:

H=87

4) Now, substitute 87 as H in the first equation:

87+C=348

5) Subtract 87 from both sides:

C=261

6 0
3 years ago
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