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meriva
3 years ago
8

Help!!! Huge milestone!! I will give crown!!! The value of y is directly proportional to the value of x. If y=8 when x=10, what

is the value of y when x=25?
Mathematics
1 answer:
PolarNik [594]3 years ago
6 0

Answer:30

Step-by-step explanation:the initial statement is

y ∝ x

to convert to an equation multiply by k the constant

of variation

⇒ y = k x

to find k use the given condition

y = − 24 when x = 8 y = k x ⇒ k = y x = −22

∣

∣

∣22 y = − 3 x 22

∣∣∣

−−−−−−−−−−−−−−

when  x = 10

then y = − 3 × 10 = −30

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A ship travels 62.5 km in 1st hour of sailing. Starting from 2nd hour, the distance travelled per hour is x% of that in the prec
Bas_tet [7]
Speed of the ship in the second hour =  (62.5 * x ) / 100  kph.

In third hour it is  [(62 * x) / 100 ] * x/100]

is 4th hour its is the above * x/100 again  so we can now form the equation

62.5x      x          x
------- *   ----  *  ----    =  32
100      100      100

62,5 x^3 = 32,000,000
x^3 =  512,000
x = 80 <-----  Answer  to (a)

(b)  Ship travels 62.5 in first hour then  this falls by a common ratio of 0.8 each hour so we have a geometric sequence 

Dist travelled in 6 hours  =  a1  1 - r^n
                                                --------  = 62.5* (1 - 0.8^6) / 1 -0.8 = 230.56

                                               1 - r

Answer is    230.56 km 




5 0
3 years ago
If mark got 6 questions out of 40 incorrect what percent of the questions did he get correct?
kap26 [50]
So if 6 out of 40 are incorrect, 40-6= 36 must be correct.
In order to gain percentage you do proportions.
36/40 = x/100.
Multiply 36 times 100 then divide by 40, which is 90.
The answer is 90%.
90% of the questions he got were correct.
7 0
3 years ago
A package of cookies, packed , ate the fourth part at breakfast , then 3/5 at tea time. there are still 18 cookies in the pakage
Leno4ka [110]
Ok so
1/4 of total eaten
3/4 left
3/5 of 3/4 eaten
9/20 left
18=9/20 of whole
multiply both sides by 20
360=9 of whole
divide both sides by 9
40=whole


40 total originlly

5 0
3 years ago
Read 2 more answers
9x +y=-5<br> Coefficient of x
V125BC [204]

Answer:

x=-14y

Step-by-step explanation:

9x+y=-5

x+y=-5-9

x+y=-14

x=-14y

8 0
2 years ago
∠ABC and ∠CBD are complementary angles. m∠ABC = (3x + 6)º and m∠CBD = (4x – 14)º.
yuradex [85]
You need use your strategies multiplie it than simplify to k and than move it to E tens
4 0
2 years ago
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