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ipn [44]
2 years ago
6

£200 into the ratio 3:5

Mathematics
1 answer:
Ede4ka [16]2 years ago
3 0
Add up the ratio so 3+5 which gives you 8. Then divide the total money by how many parts.
200/8=25
25x3=75
25x5=125
Answer:75:125
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How can I write repeated multiplication using powers?
andrew-mc [135]
Example: 3^4 would be 3x3x3x3
8 0
3 years ago
A motorist drives for m hours at 120km/hr and n hours at 18km/hr. Altogether Somina drives 78km in 5 hours. Find m and n.​
nikdorinn [45]

Answer:

(0.118, 4.882)

Step-by-step explanation:

If a motorist drives for m hours at 120km/hr, then the Distance of the motorist is expressed as;

​Distance = Speed * time

​da = 120m

If he drives n hours at 18km/hr;

db = 18 * n

db = 18n

Speed of the motorist altogether is expressed as;

Speed =78km/5hrs

Speed = 15.6km/hr

SInce the total distnce is 78km

120m + 18n = 78 ....1 ..... * 1

If total time is 5hrs

m + n = 5....2 ...*18

Solve simultaneously

120m + 18n = 78

18m + 18n = 90

Subtract

120m - 18m = 78-90

102m = -12

m = 0.118 hrs

m =

Since m + n = 5

n = 5 - m

= 5 - 12/102

n = 4.882

Hence (m,n) is (0.118, 4.882)

3 0
2 years ago
The numbers on two consecutively numbered gym lockers have a sum of 125. What are the locker numbers?
frosja888 [35]

Answer:

62 and 63

Step-by-step explanation:

n + n + 1 = 125

2n + 1 = 125

2n = 124

n=62

6 0
2 years ago
Read 2 more answers
How do you solve it?
Alchen [17]
Start by distributing the square root of 8 inside the bracket.

\sqrt{8}(\sqrt{24} + 3\sqrt{8}) = \sqrt{8}*\sqrt{24} + 3\sqrt{8}^2
= \sqrt{192} + 24
= \sqrt{64*3} + 24 = 8\sqrt{3} + 24
= 8(\sqrt{3} + 3)
6 0
3 years ago
100 POINTS please show your work
Anon25 [30]

Answer:

See below for answers and explanations (along with a graph)

Step-by-step explanation:

<u>Part A</u>

Set f(x)=0 and factor the expression by grouping:

f(x)=2x^2-3x-5\\\\0=2x^2-3x-5\\\\0=2x^2+2x-5x-5\\\\0=2x(x+1)-5(x+1)\\\\0=(2x-5)(x+1)

Use the Zero Product Property to find the x-intercepts:

0=2x-5\\5=2x\\x=\frac{5}{2}

0=x+1\\x=-1

Hence, the x-intercepts for the graph of f(x) are x=-1 and x=\frac{5}{2}.

<u>Part B</u>

Find the x-coordinate of the vertex:

x=-\frac{b}{2a}\\ \\x=-\frac{(-3)}{2(2)}\\\\x=\frac{3}{4}

Find the y-coordinate of the vertex:

f(\frac{3}{4})=2(\frac{3}{4})^2-3(\frac{3}{4})-5=-\frac{49}{8}

Hence, the vertex is (\frac{3}{4},-\frac{49}{8}). We can see from the positive leading coefficient of the function that the vertex will be a minimum because the parabola will open faced-up.

<u>Part C</u>

You can use the x-intercepts and vertex to plot points of the graph of the function. Additionally, you can throw in the y-intercept in as well. The y-intercept, in this case, is f(0)=2(0)^2-3(0)-5=-5, or (0,-5) as an ordered pair. See attached graph.

8 0
1 year ago
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