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nadya68 [22]
3 years ago
10

John’s father is 5 times older than John and John is twice as old as his sister Alice. In two years time, the sum of their ages

will be 58. How old is John
Mathematics
1 answer:
oksano4ka [1.4K]3 years ago
7 0

Answer:

8 years

Step-by-step explanation:

Let age of father be f

age of John be j

age of Alice be a

John's father is 5 times as old as John. We can write:

f = 5j

John is twice as old as Alice. We can write:

j = 2a

or

a = j/2

SUM OF ALL OF THEIR AGES (after 2 years) will be 58. We can write:

f+2 + j+2 + a+2 = 58

This becomes:

f + j + a + 6 = 58

f + j + a = 52

Now, we replace third equation with the first two (in bold) and get:

f + j + a = 52\\5j + j + \frac{1}{2}j=52\\6.5j=52\\j=8

So John is 8 years old

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Step-by-step explanation:

8 0
3 years ago
Slope -2/3 .x-intercept at 3 written in y=mx+b
siniylev [52]
Given the slope, m = -2/3, and the x-intercept, (3,0):

Use these values and plug into the slope-intercept form to solve for the y-intercept, b:

y = mx + b

0 = -2/3(3) + b

0 = -2 + b

Add 2 to both sides to isolate b:

0 + 2 = -2 + 2 + b

2 = b

Now that we have our slope, m = -2/3, and the y-intercept, 2

The linear equation in slope-intercept form is:

y = -2/3x + 2


Please Mark my answers as the Brainliest, if you find this helpful :)
5 0
3 years ago
List the integers that satisfy both these inequalities.<br> Put the answers on one line.
bekas [8.4K]

Answer:

-7, -6, -5, -4, -3

Step-by-step explanation:

Given:

2x + 5 < 0

x > -8

Thus, we can combine both statements to find out integers that satisfy both inequalities.

2x + 5 < 0

Let's find x

2x < 0 - 5 (substraction property)

2x < -5

Divide both sides by 2

x < -5/2

This implies that -5/2 is greater than the set of values of x.

The second inequality, x > -8 implies that -8 is less than the value of x.

Les combine both:

-8 < x < -5/2

Therefore, the possible set of integers are whole numbers between the range of -8 and -5/2 which excludes -8 and -5/2.

Thus, they are:

-7, -6, -5, -4, -3

6 0
3 years ago
What is 4567876543345678765434678976543456876543*7576575675675*09*6865676*0*565545552651273652135*5272526*62526535*526242534546*
KatRina [158]
<span>4567876543345678765434678976543456876543*7576575675675*09*6865676*0*565545552651273652135*5272526*62526535*526242534546*786743165461354*653654264*751*1*5*7562756565464654+10 =  10


it took me awhile but that's what i got.

</span><span>
</span>
7 0
3 years ago
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More pizza and eat here is a restaurant in the bathroom and
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