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3 years ago

Suzy is ten years older than Belly, and the next year she will be twice as old as Billy. How old are they now? Show solution.

Mathematics

1 answer:

Snezhnost [94]3 years ago

5 0

Answer:

I understand there is a typo, so Belly and Billy are the same person. His age is represented as B, and Suzy's as S.

S = 19

B = 9

Step-by-step explanation:

Suzy is ten years older than Belly:

(1) S = B + 10

the next year she will be twice as old as Billy

(2) S + 1 = 2 (B + 1)

solving the system of equation (1) and (2):

Making (2) - (1):

1 = 2 (B + 1) - B - 10 => 1 = 2 B + 2 - B - 10 => 1 = B - 8 => B = 9

replacing in (1) S = 19

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List all the even numbers less than 50,

nexus9112 [7]

Step-by-step explanation:

Even numbers less than 50={2,4,6,8,10,12,14,16,18,20,22,24,26,28,30,32,34,36,38,40,42,44,46,48}

Total=24

Multiples of 5={10,20,30,40}

Probability (multiple of 5)=4/24

=1/6

P(between 10 and 30)=12,14,16, 18, 20, 22, 24, 26, 28

Total=9

Probability=9/24

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Probability is number 12

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7 0

3 years ago

Which equation does the graph of the systems of equations solve?

mihalych1998 [28]

Answer:

$\text{B. }\frac{1}{3}x-3=-x+1$

Step-by-step explanation:

Let's start by taking a look at the blue line. The slope of any line that passes through two points is equal to the change in y-values over the change in x-values. We can see that the line passes through points (0, 1) and (1, 0). Assign these points to $(x_1,y_1)$ and $(x_2, y_2)$ (doesn't matter which you assign) and use the slope formula:

$m=\frac{y_2-y_1}{x_2-x_1}$

Let:

$(x_1,y_1)\implies (0,1)\\(x_2,y_2)\implies (1, 0)$

The slope is equal to:

$m=\frac{0-1}{1-0}=\frac{-1}{1}=-1$

Therefore, the slope of this line is -1. In slope-intercept form $y=mx+b$ , $m$ represents slope, so one of the lines must have a term with $-x$ in it, which eliminates answer choices A and D.

For the second line, do the same thing. The red line clearly passes through (0, -3) and (3, -2). Therefore, let:

$(x_1,y_1)\implies (0,-3)\\(x_2,y_2)\implies (3, -2)$

Using the slope formula:

$m=\frac{-2-(-3)}{3-0}=\frac{1}{3}$

Thus, the slope of the line is 1/3 and the other line must have a term with $\frac{1}{3}x$ in it, eliminating answer choice C and leaving the answer $\boxed{\text{B. }\frac{1}{3}x-3=-x+1}$