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3 years ago

PLEASEEEEE HELPPPPP!!

Mathematics

2 answers:

Ann [662]3 years ago

8 0

Answer:

1) b-x/a

Step-by-step explanation:

zhenek [66]3 years ago

3 0

Answer:

Option 1

Step-by-step explanation:

x + ay = b

Subtract x from both sides;

ay = b - x

Divide both sides by a;

y = $\frac{b-x}{a}$

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Jenny and Kath hire the canal boat for 14 days. They share the hire cost of £1785.00 in the ratio 2:3. Work out the smaller shar

Dafna1 [17]

Answer:

£714.00

Step-by-step explanation:

The first step is to set up expresssions for the two shares:

Let x = the amount of one share. The other share is 1785 - x. <u>You don't have to worry about which is smaller--that part will work out automatically</u>!

The two shares are in the ratio of 2:3, so set up the proportion

$\frac{x}{1785-x}=\frac{2}{3}$

Again, you don't have to worry--you could set up the proportion "upside down" and everything will work out in the end.

Solve the proportion for x by "cross multiplying" -- use the Means-Extremes Property of proportions.

$(3)(x)=(2)(1785-x)\\3x=3570-2x\\5x=3570\\x=714$

So one share is £714£ and the other is £1785 - £714 = £1071.

The smaller share is £714.

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5 0

2 years ago

THIS IS FOR YOUR SAFETY, PLEASE READ! ⚠️ There is a Mickey Mouse profile that will dm you on any social platform do NOT open the

Dafna11 [192]

Answer:okkkk

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Why is the answer to this integral's denominator have 1+pi^2

ss7ja [257]

It comes from integrating by parts twice. Let

$I = \displaystyle \int e^n \sin(\pi n) \, dn$

Recall the IBP formula,

$\displaystyle \int u \, dv = uv - \int v \, du$

Let

$u = \sin(\pi n) \implies du = \pi \cos(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Then

$\displaystyle I = e^n \sin(\pi n) - \pi \int e^n \cos(\pi n) \, dn$

Apply IBP once more, with

$u = \cos(\pi n) \implies du = -\pi \sin(\pi n) \, dn$

$dv = e^n \, dn \implies v = e^n$

Notice that the ∫ v du term contains the original integral, so that

$\displaystyle I = e^n \sin(\pi n) - \pi \left(e^n \cos(\pi n) + \pi \int e^n \sin(\pi n) \, dn\right)$

$\displaystyle I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n - \pi^2 I$

$\displaystyle (1 + \pi^2) I = \left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n$

$\implies \displaystyle I = \frac{\left(\sin(\pi n) - \pi \cos(\pi n)\right) e^n}{1+\pi^2} + C$

6 0

2 years ago

I don't know what to do

True [87]

Your answer is 1/4, -7/3,-4

8 0

3 years ago

Jenna is at a fair with four friends. They all want to ride the roller coaster, but only three people can fit in a car. How many

pav-90 [236]

Answer:

They can make 10 different groups of three.

Step-by-step explanation:

The order in which the people are in the car is not important, so we use the combinations formula to solve this question.

Combinations formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

How many different groups of three can the five of them make?

Combinations of 3 from a set of 5. So

$C_{5,3} = \frac{5!}{3!(5-3)!} = 10$

They can make 10 different groups of three.

6 0

2 years ago