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bogdanovich [222]
3 years ago
15

Michael is 4 years younger than twice his cousin, Damien’s age. The sum of their ages is 46. How old is Damien?

Mathematics
1 answer:
Verizon [17]3 years ago
4 0
Let x = The age of Michael
Let 2x-3 = The age of Michaels cousin
X+2x-3=46
x=16+1/3
X = 49 years

I think that’s the answer I’m not 100% sure though
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The area of a baseball field bounded by home plate, first base, second base, and third base is a square. If a player at first ba
Andru [333]
Well the question doesnt show any number for a side or anything but we can solve this with algebra if we say that a side from one base to next has a length of x. so we know each side has length x and that the shape they make is square. This means we are only searching for the diagonal of a square.

remember that a diagonal forms and isoscoles right triangle with the 2 sides being equal and the diagonal as the hypotenuse. Using the pythagoream theorem we can say that
a^2 + b^2 = c^2

we said all side lengths are x so we can put x in for a and b and get

x^2 + x^2 = c^2

2x^2 = c^2

c = x * squareroot(2)

that is the basic fundamental answer that will always work when working with diagonals of squares.

so if the length between bases is 90 ft, we could plug this in and get
c = 90 ft * squareroot(2)
c = 127.28 ft
7 0
3 years ago
What is the quotient in the polynomial form?
Oxana [17]

First step of a synthetic divison is that we need to carry down the leading coefficient. Here the leading coefficient is 2. So, carry down 2 at the bottom.

Next step is to multiply the divisor -3 with this carry down number 2. So, we have got 3*(-2)= -6 which will place atthe bottom of the next coefficient 4.

Next step is to add this column.

Now repeat the same method again till the last colum.

At the end we have got 0 after the addition. Which means the remainder is 0.

So, the quotient is 2x^2-2x+2.

8 0
3 years ago
5+3=4d please help me
ad-work [718]
So the object of this problem is to find out the value of d.

To do this, first think about 5 + 3. This equals 8, right? So the value of d times 4 has to equal 8.

No other number besides 2 would make sense. 2 would equal d because 4 x 2 is 8, and 5 + 3 is 8.

So you would write the answer as:

5+3=4(2)
4 0
3 years ago
Read 2 more answers
The lateral area of a right cylinder which has a base diameter of 12 cm and a height of 8 cm is?
garik1379 [7]

Answer:

A = 301.59\ cm^2 or A=96\pi\ cm^2

Step-by-step explanation:

The lateral area of a cylinder is calculated by the following formula

A = 2\pi r * h.

Where r is the radius of the right cylinder and h is the height

In this case we know that the diameter d of the cylinder is

d=2r\\\\r=\frac{d}{2}\\\\r=\frac{12}{2}\\\\r=6\ cm

h=8\ cm

Therefore the lateral area is:

A = 2\pi*6 * 8.

A = 96\pi

A = 301.59\ cm^2

8 0
3 years ago
Read 2 more answers
Mr. Rivera pours 2 cups of blue paint into a jar for each art station. How many jars can
Semmy [17]

Given :

Mr. Rivera pours 2 cups of blue paint into a jar for each art station.

1 cup = 8 ounces.

1 gallon = 128 ounces.

To Find :

How many jars can  he fill with 1 gallon of blue paint.

Solution :

Since, a jar is filled with 2 cups.

1 jar = 2 × 8 = 16 ounces.

So, number of jars required to fill 1 gallon of blue paint is :

n=\dfrac{128}{16}\\\\n=8

Therefore, 8 jars are required to fill 1 gallon of blue paint.

Hence, this is the required solution.

6 0
3 years ago
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