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Galina-37 [17]
3 years ago
9

Jorge is 12 years older than Sam. If 4 years ago, Sam was twice Jorge's age, how old is Sam now?

Mathematics
1 answer:
ANTONII [103]3 years ago
3 0
I think the answer 8 but I’m not super sure ://
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Need help!!! Will make brainlyest!!
sweet-ann [11.9K]

Answer:

Step-by-step explanation:

1. To find x make these 2 equations equivalent to each othe.

3x + 6 = 8x - 10

2. Subtract x terms from both sides

(3x - 8x) + 6 = (8x - 8x) - 10

3. Subtract constant from left side.

-5x + 6 = -10

-5x + (6 - 6) = (-10 - 6)

-5x = -16

4. Divide be x term from the left side.

7 0
3 years ago
Which of the following is an equation of the line in the graph?
zlopas [31]
<h3>Answer:</h3>

B. 3x +y = 4

<h3>Step-by-step explanation:</h3>

It is perhaps easiest to simply try the equations to see which one works.

For x=0, there are two different kinds of answers:

... A and C: -y = 4

... B and D: y = 4

Since we know y=4 when x=0 (from the point (0, 4)), we can eliminate choices A and C.

___

Using the point (1, 1), you can try choices B and D to see which works:

... B: 3·1 +1 = 4 . . . . true (put 1 where x and y are in the equation)

... D: -3·1 +1 = -2 = 4 . . . . false

The appropriate choice is the equation of B: 3x +y = 4.

_____

<em>Derive the equation from the given points</em>

There are several ways you can derive the equation. Since you have the y-intercept (the point with x=0), you can use the slope-intercept form to start.

The slope (m) is ...

... m = (change in y)/(change in x) = (4 -1)/(0 -1)

... m = -3

We know the y-intercept (b) is 4, so the slope-intercept form of the equation is ...

... y = mx +b

... y = -3x +4

Adding 3x puts this in standard form:

... 3x +y = 4

3 0
3 years ago
8x-2(xx9)=x+47. solve for x
Dafna11 [192]
18x-8x2=0

Two solutions were found :

x = 9/4 = 2.250
x = 0
Step by step solution :

Step 1 :

Equation at the end of step 1 :

18x - 23x2 = 0
6 0
3 years ago
2008 population of wyoming was counted as 532,668 people. what is a reasonable estimate of the population of wyoming?
Snezhnost [94]
The smaller is the rounding factor, the more accurate the estimation is

532668 rounded to the nearest ten is 532670
532668 rounded to the nearest hundred is 532700
532668 rounded to the nearest thousand is 533000
532668 rounded to the nearest ten thousand is 530000
532668 rounded to the nearest hundred thousand is 500000

We can use either 532700 or 533000 as a reasonable estimate because these values don't give much difference to the original value
8 0
3 years ago
A turtle and a rabbit engage in a footrace over a distance of 4.00 km. The rabbit runs 0.500 km and then stops for a 90.0-min na
Oxana [17]

Answer:

(a) 2.29 km/h

(b) 9 km/h

Step-by-step explanation:

For part (a) you have to apply<em> the average speed formula</em>, which is defined by:

v=\frac{d}{t}

where d is the total distance traveled and t is the total time needed.

d=\frac{4.00}{1.75}=2.29 km/h

For part (b) you have to calculate the running time (T) , which is the total time of the race minus the nap time:

The nap time in hours is:

90/60 = 1.5 h (because there are 60 minutes in one hour)

The running time is:

T= 1.75 - 1.5 = 0.25 h

Let t1 represent the time before the nap and t2 the time after the nap:

t1+t2 = T

t1+t2 = 0.25

You have to apply the formula d=vt before and after the nap:

-Before the nap, the distance traveled was 0.50 km

0.50 = v1t1

-Afer the nap, the distance traveled was 3.50 km

3.50=v2t2

But v2=2v1 (because after the nap the rabbit runs twice as fast)

You have to solve the system of equations:

t1=0.25-t2 (I)

v1t1=0.50 (II)

2v1t2=3.50 (III)

Replacing (I) in (II)

v1(0.25-t2)=0.50

Applying distributive property and solving:

0.25v1-v1t2=.050

For (III) you have that v1t2=3.50/2=1.75. Hence:

0.25v1-1.75=0.50

Solving for v1:

v1 = 9 km/h

7 0
3 years ago
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