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zhannawk [14.2K]
4 years ago
11

Michael is 4 4 times as old as Brandon and is also 2 7 27 years older than Brandon. How old is Michael?

Mathematics
1 answer:
Stells [14]4 years ago
3 0
X=mike age
y = bran age
---
x = 4y
x = y + 27
---
put the system of linear equations into standard form
---
x - 4y = 0
x - y = 27
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(2x + 5x - 3) + (x + 3)
IrinaK [193]

Answer:

8x

Step-by-step explanation:

Because you are adding the (x+3) there you can immediately you the association property to simplify

(2x + 5x + x) + (3 - 3)

8x + 0 =

8x

5 0
3 years ago
X - y = -2<br> y = -x - 2<br> What is the solution
LenKa [72]

Answer:

<em>x </em>= -2

<em>y </em>= 0

Step-by-step explanation:

Pretty hard process, but let me explain:

First, solve for y.

Substitute -x - 2 for y in x - y = -2:

Then, simplify both sides of the equation.

x - y = -2

x - (-x - 2) = -2

After, add -2 to both sides of the equation.

2x + 2 = -2

2x + 2 + -2 = -2 + -2

Next, divided both sides by 2.

2x/2 = -4/2

After that, substitute -2 for x in y = -x - 2:

You must simplify both sides of the equation.

y = -x - 2

y = -(-2) - 2

y = 0

Sorry if this is long and confusing, but I hope this helps!!

4 0
4 years ago
What is y=2(x+1)^2 in standard form
Setler79 [48]
Y=4x+4
I think this is it u just have to simplify to get it to y=mx+b
5 0
4 years ago
Read 2 more answers
What is the area of this figure?
Elanso [62]
First of all we can draw a parallel line to divide the figure into a triangle and a rectangle as shown in the figure. To find the area of our rectangle, remember that the area of a rectangle is length times width, so A_{r} =lw. Since we know for our figure that the length and width of our rectangle are 13cm and 6cm respectively, lets replace those values in our formula to get its area:
A _{r} =(13cm)(6cm)
A=78cm^{2}
Similarly, the area of a triangle is one half times base times height, so At=( \frac{1}{2})bh. Since we know that our base is 8cm and our height 6cm, lets replace those values in our equation to find the area of our triangle:
A_{t} =( \frac{1}{2})(8cm)(6cm)
A_{t} =24cm^{2}

Now the only thing left is add our areas:
 A_{total} =78cm^{2}+24cm^{2}  =102cm^{2}

We can conclude that the correct answer is <span>A. 102</span>

4 0
3 years ago
A bag contains tiles number 1-10. What is the probability of first selecting a PRIME number, replacing it, then selecting a numb
andrezito [222]

Answer:

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

Probability of independent events:

Suppose we have two events, A and B, that are independent. The probability of both happening is given by:

P(A \cap B) = P(A) \times P(B)

In this question:

Event A: Selecting a prime number.

Event B: Selecting a number less than or equal to 3

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Probability of selecting a number less than or equal to 3:

Three numbers(1,2,3) out of 10. So

P(B) = \frac{3}{10}

Probability of both:

P(A \cap B) = P(A) \times P(B) = \frac{4}{10} \times \frac{3}{10} = \frac{12}{100} = 0.12

0.12 = 12% probability of first selecting a PRIME number, replacing it, then selecting a number less than or equal to 3

5 0
3 years ago
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