This isn't hard at all! The 6 dolls she brought are 20% of her entire collection, right? All you have to do is multiply the 20% by 5 so you can get the amount of dolls to 100%, so
6 x 5 = 30
That's how many dolls there should be.
Answer:
80.
Step-by-step explanation:
x^2y^3 * x^3y^2
= x^(2+3)y^(3+2)
= x^5y^5 and as x^2y^3 = 10 and x^3y^2 = 8 we have:
10 * 8
= 80.
Answer:
Step-by-step explanation:
Let +s+ = the speed of the passenger train
+s+-+20%5D+ = the speed of the freight train
Let +t+ = time in hours for both trains
-------------------------------------
Equation forpassenger train:
(1) +280+=+s%2At+
Equation for freight train:
(2) +180+=+%28+s-20+%29%2At+
------------------------
(1) +t+=+280%2Fs+
Substitute (1) into (2)
(2) +180+=+%28+s-20+%29%2A%28+280%2Fs+%29+
(2) +180s+=+280s+-+5600+
(2) +100s+=+5600+
(2) +s+=+56+
and
+s+-+20+=+36+
The speed of the passenger train is 56 mi/hr
The speed of the freight train is 36 mi/hr
-------------------------------------
check:
(1) +280+=+56%2At+
(1) +t+=+5+
and
(2) +180+=+%28+56-20+%29%2At+
(2) +180+=+36t+
(2) +t+=+5+
OK
0.9285714 has 7 digits after the decimal sign. So it is equivalent to the fraction with a numerator 9285714 and a denominator 10000000
Result:
The decimal number 0.9285714 is equivalent to the fraction
4642857 / 5000000
Answer:
1 & -1
Step-by-step explanation:
f(x) = g(x)
Find the inputs for which outputs are equal
Both outputs are 1 when x = -1
Both outputs are -7 when x = 1
