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3 years ago

Share £840 in the ratio of 5:7 plsss

2 answers:

5 0

Ratio ⇒ 5 : 7

Find total parts:
Total Parts = 5 + 7 = 12

Find 1 part:
12 parts = £840
1 part = £840 ÷ 12 = £70

Find 5 parts:
1 part = £70
5 parts = £70 x 5 = £350

Find 7 parts:
1 part = £70
7 parts = £70 x 7 = £490

Answer: £350 : £490

STatiana [176]3 years ago

3 0

3+4 = 7
840/7 = 120 
3×120 = 360 
4×120 = 480 

£360:£480 = 3:4

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3 years ago

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2 years ago

How do you find the value of c that satisfy the equation:

victus00 [196]

Answer:

The value of c = -0.5∈ (-1,0)

Step-by-step explanation:

Step(i):-

Given function f(x) = 4x² +4x -3 on the interval [-1 ,0]

Mean Value theorem

Let 'f' be continuous on [a ,b] and differentiable on (a ,b). The there exists a Point 'c' in (a ,b) such that

$f^{l} (c) = \frac{f(b) -f(a)}{b-a}$

Step(ii):-

Given f(x) = 4x² +4x -3 …(i)

Differentiating equation (i) with respective to 'x'

f¹(x) = 4(2x) +4(1) = 8x+4

Step(iii):-

By using mean value theorem

$f^{l} (c) = \frac{f(0) -f(-1)}{0-(-1)}$

$8c+4 = \frac{-3-(4(-1)^2+4(-1)-3)}{0-(-1)}$

8c+4 = -3-(-3)

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3 years ago

A pole-vaulter uses a 15-foot-long pile. She grips the pole so that the segment below her left hand is twice the length of the s

Shalnov [3]

Let x + 1.5 be length of segment above left hand
Let 2x be length of segment below left hand

15 = x + 1.5 + 2x
15 = 3x + 1.5
15 - 1.5 = 3x
13.5 = 3x
13.5/3= 3x/3
4.5 = x
x = 4.5
This is the length above the left hand.

2x must be then 4.5*2 = 9 foot
This is the length below the left hand.

Checking
4.5 + 9 + 1.5 = 15 foot

Adding length below left hand & length of left hand to right hand:
9 + 1.5 = 10.5
The right hand is hence 10.5 foot far up the pole.

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Answer:

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3 years ago

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