Mathematics, 13.04.2020 16:20 jack6563

Sid starts with savings of £13
Tim starts with no savings.
Each week from now,
Sid will save £3.50 and Tim will save £3
In how many weeks will Sid and Tim have savings in the ratio 17:9?
Your final line must say. 17:9 in.. weeks

Answers: 2

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Answers

Answer from: bigcm3497

The ratio of savings of Sid and Tim will be 17:9 in 6 weeks.

Given information:

Sid starts with savings of £13.

Tim starts with no savings.

Each week from now, Sid will save £3.50 and Tim will save £3.

Let, after x weeks, the ratio of savings of Sid and Tim will be 17:9.

After x weeks, the total saving of Sid will be,

S_s=13+3.5x

After x weeks, the total saving of Tim will be,

S_t=0+3x=3x

So, the value of x weeks can be calculated as,

$\dfrac{S_s}{S_t}=\dfrac{17}{9}\\\dfrac{13+3.5x}{3x}=\dfrac{17}{9}\\9(13+3.5x)=17(3x)\\117+31.5x=51x\\19.5x=117\\x=6$

Therefore, the ratio of savings of Sid and Tim will be 17:9 in 6 weeks.

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Answer from: JohnBranks3258

The savings of Sid and Tim will be in 17:9 in 6 weeks.

Step-by-step explanation:

Initial savings of Sid = £ 13

Initial savings of Tim = £ 0

For each successive week Sid saved = £ 3.5

For each successive week Tim saved = £ 3

Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.

If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)

If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x

The ratio of their savings in x weeks would be 17:9

So,

Sid's saving : Tim's saving = 17 : 9

Using the values of expressions, we get:

$13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6$

This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.

Answer from: Quest

answer

a,b, and d

explanation

a reflection angle is more than

$\pi \: radians$

but less than;

$2 \pi \: radians$

an angle that measures

$\frac{4 \pi}{3} \: radians$

is a reflex angle.(true)

an angle that measures less than

$\frac{\pi}{2}$

is acute.(true)

provided we are considering angles greater or equal to zero.

an acute angle lies in the range.

$0 \leqslant \theta \: < \frac{\pi}{2}$

an obtuse angle is less than 180° but more than 90°

an angle that measures 300° is obtuse (false)

an angle that measures 65° is an acute angle.(true)

Answer from: Quest

idk

step-by-step explanation: i just don't

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