Answer: Kate = £102
Sanjeev = £153
Step-by-step explanation:
From the question, we are informed that for every £2 that kat collects, sanjeev collects £3. This csn be represented in a fraction as:
Kat = 2/5
Sanjeev = 3/5
The amount that each collects will be:
Kat = 2/5 × £255
= 2 × £51
= £102
Sanjeev = 3/5 × £255
= 3 × £51
= £153
There are 9 cans of soup and 5 cans of frozen dinner.
The variables used for soup and frozen dinner are x and y respectively.
Step-by-step explanation:
Let,
Soup = x
Frozen Dinner = y
According to given statement of sodium;
300x + 500y = 5200 eqn 1
And,
x + y = 14 eqn 2
Subtracting Eqn 3 from Eqn 1;
Putting value of y in Eqn 1;
There are 9 cans of soup and 5 cans of frozen dinner.
The variables used for soup and frozen dinner are x and y respectively.
Keywords: Variables, linear equations, subtraction.
Learn more about linear equations at;
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Answer:
a) positive direction: t < 2s & t>6s ; negative direction: 2s < t < 6s
b) 7 m
c) 71 m
Step-by-step explanation:
Given:
v(t) = 3t^2 -24t +36 [0 , 7]
Find:
a) The value of time when particle is moving in positive direction:
The change in direction of the particle can be determined by v(t) > 0
Hence,
0 < 3t^2 -24t +36
0 < t^2 - 8t + 12
0 < (t - 2)*(t - 6)
t < 2s , t > 6s
The particle travels in positive direction in the interval t < 2s and t > 6s , While it travels in negative direction when 2s < t < 6s.
b) The displacement ds over the given interval [ 0 , 7 ]
ds = integral (v(t)).dt
ds = t^3 -12t^2 +36t
ds = 7^3 -12*7^2 +36*7
ds = 7 m
c) Total distance traveled in the interval:
Total distance= ds(0-2) + ds(2-6) + ds(6-7)
D = 2*(2^3 -12*2^2 +36*2) - 2*(6^3 -12*6^2 +36*6) + 7
D = 2*32 - 2*0 + 7
D = 71 m
Answer:
I think the answer is 1/5
Step-by-step explanation:
Add up the total number of jellybeans, 20 + 45 + 30 + 5 = 100.
Divide the number of watermelon jellybeans by the total: 20/100 and reduce the fraction to 1/5.
Hope this help you! :)
Answer:
4.12 miles
Step-by-step explanation:
Use distance formula
d^2 = (-8- -4)^2 + ( -9 - -10)^2
d^2 = 16 + 1
d^2 = 17
<u>d = sqrt 17 = 4.12 miles </u>
