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VladimirAG [237]
3 years ago
7

A man s five times as old as his son.in three years time,the product of their ages will be 380.

Mathematics
1 answer:
Mademuasel [1]3 years ago
6 0

Answer:

son age: X

man_age= 5X

in 3 years: we have:  (man_age+3)(X+3)=380

we can replace the man age by 5X and we get :

(5X+3)(X+3)=380

it is a quadratic equation with 2 solutions. One negative and 7

The solution is thus 7, since age can not be negative.

The son is thus 7 and the dad 5 times more 35

Step-by-step explanation:

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Belle borrowed $18.275 to buy a new car. The interest rate she agreed to pay is 5%. If she takes 5 years to pay back the loan, h
mamaluj [8]

Answer:

$22843.75

Step-by-step explanation:

I'm assuming that $18.275 is $18,275

First, converting R percent to r a decimal

r = R/100 = 5%/100 = 0.05 per year,

then, solving our equation

I = 18275 × 0.05 × 5 = 4568.75

I = $ 4,568.75

The simple interest accumulated

on a principal of $ 18,275.00

at a rate of 5% per year

for 5 years is $ 4,568.75.

4 0
3 years ago
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Write a whole number and a fraction greater than 1 to name the part filled
cluponka [151]
Would it be 7/1 or anything greater than one
8 0
3 years ago
For a pair of similar triangles, corresponding sides are _____ congruent.
Novosadov [1.4K]
Never

they have the same ratio only
congruent triangles have equal sides
5 0
3 years ago
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Negative divided by a negative is a
Papessa [141]

Answer:

Positive

Step-by-step explanation:

A negative number divided by a negative number equals a positive number. Two negatives make a positive, so a negative number divided by a negative number equals a positive number.

Example: -/- = +

-10/-5=2

Have a good day and stay safe!

3 0
3 years ago
Suppose $x$,$y$, and $z$ form a geometric sequence. if you know that $x+y+z=18$ and $x^2+y^2+z^2=612$, find the value of $y$.
OverLord2011 [107]
Because x,y,z form a geometric sequence,  therefore the common ratio is
r = y/x = z/y
That is,
y² = xz                            (1)

We are given:
x + y + z = 18
Therefore
x + z = 18 - y                 (2)

Also,
x² + y² + z² = 612
Therefore, from (1), obtain
x² + z² + xz = 612 
(x + z)² - xz = 612
From (1) and (2), obtain
(18 - y)² - y² = 612
324 - 36y + y² - y² = 612
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Answer: y = -8

4 0
3 years ago
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