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steposvetlana [31]
3 years ago
5

Barney is eight years older than Nemo. In seven years the sum of their ages will be 46. How old is Barney now?.

Mathematics
1 answer:
olga55 [171]3 years ago
6 0
Let's represent Nemo's age with an n.

Barney is 8 years older so his age is nemo's plus 8. That is, Barney's age is n + 8

In seven years they will each be the age they are now plus 7. So, Nemo will be n + 7 and Barney will be n + 8 + 7. If the sum of their ages will be 46 we know that when we add these expressions we should get 46, so let's set the sum to 46 and solve for n.

n + 7 + n + 8 + 7 = 46
2n + 22 = 46
2n = 46 - 22
2n = 24
n = 12

That means that Nemo's age is 12.
Since Barney is 8 years older his age is 12 + 8 = 20.

To check our work we see that in 7 years Nemo will be 12 + 7 = 19 and Barney will be 20 + 7 = 27. Together that is 19 +27 = 46 as expected.
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3 years ago
What is the slope and y-intercept of y+3= -1/3
bazaltina [42]

Assuming this is written correctly, with no x in the equation, we just solve for y:

y = -3 - 1/3 = -10/3 = 0 x - 10/3

That's slope-intercept form.

Answer: Slope 0, y-intercept -10/3


5 0
4 years ago
a rectangle has an area of 102 cm2. the length of the rectangle is 17 cm. what is the perimeter of the rectangle?
Kruka [31]
Area = length *width 

102 = 17*w

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hope helped 
4 0
3 years ago
Which ordered pair is a solution to the system of linear equations Negative 4 x + y = 8 and x minus 5 y = 17? (–4, –3) (–4, 3) (
Salsk061 [2.6K]

Answer:

(–3, –4)

Step-by-step explanation:

Given pair of linear equation

-4x+y = 8    

=> y = 8 + 4x _____(1)

x - 5y = 17  (2)

substituting value of y from equation 1 in equation 2 we have

x - 5(8 + 4x) = 17

=> x - 5*8 -5*4x = 17

=> x - 40 - 20x = 17

=> -40 - 19x = 17

=> -19x = 17+40 = 57

=> x = 57/-19 = -3

Thus, x = -3

y = 8 + 4x = 8 +4(-3) = 8 -12 = -4

Thus, y = -4

Hence, paired solution for given equation is (–3, –4).

5 0
3 years ago
Read 2 more answers
Calculate the future value (in dollars) of $1,550 deposited into an account earning an annual simple interest rate of 4% compoun
RUDIKE [14]

Answer: the future value is $1748.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 1550

r = 4% = 4/100 = 0.04

n = 365 because it was compounded 365 times in a year.

t = 3 years

Therefore,.

A = 1550(1 + 0.04/365)^365 × 3

A = 1550(1+0.00011)^1095

A = 1550(1.00011)^1095

A = 1550 × 1.128

A = 1748.4

8 0
3 years ago
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