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1 year ago

Carly and James share some money in the ratio 5 : 3

Mathematics

2 answers:

GalinKa [24]1 year ago

7 0

Answer:

£52

Step-by-step explanation:

let Carly shared is equal to 5x and it is equal to £70

then x is equal to 14

so James shared = 3x i.e. £52

Anni [7]1 year ago

3 0

Answer:

£42

Step-by-step explanation:

Let the money they share be x

Hence, 5:3 in the ratio Carly and James

Meaning Carly gets 5/ (5+3) × x = 5/8 x

But 5/8 x= £70

Meaning x = £70 × 8/5 = £112

But James gets 3/8 × x = 3/8 × £112

= £42

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Cate pahare de 10 cl se pot umple ce sucul dintr-o cutie de 100 cl?

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1 year ago

If four people share 100 baseball cards and each person must receive a different positive whole number of cards, what is the gre

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1 year ago

Nikki drew a rectangle with a perimeter of 18 units on a coordinate grid. Two of the vertices were (4, –3) and (–1, –3). What co

Talja [164]

Answer:

There are two possible solutions for the other two vertices of the rectangle:

(i) (4, 1), (-1, 1), (ii) (4, -7), (-1, -7)

Step-by-step explanation:

Geometrically speaking, the perimeter of a rectangle ( $p$ ) is:

$p = 2\cdot b + 2\cdot h$ (1)

Where:

$b$ - Base of the rectangle.

$h$ - Height of the rectangle.

Let suppose that the base of the rectangle is the line segment between (4, -3) and (-1, -3). The length of the base is calculated by Pythagorean Theorem:

$b = \sqrt{[(-1)-4]^{2}+[(-3)-(-3)]^{2}}$

$b = 5$

If we know that $p = 18$ and $b = 5$ , then the height of the rectangle is:

$2\cdot h = p-2\cdot b$

$h = \frac{p-2\cdot b}{2}$

$h = \frac{p}{2}-b$

$h = 4$

There are two possible solutions for the other two vertices of the rectangle:

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8 0

1 year ago

Eliza started her savings account with $100. Each month she deposits $25 into her account. Determine the average rate of change

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We want to find the average value of that function from the 2nd month to the 10th month, so its average value in the interval [2,10]. Remember that the formula for finding the average of a function over an interval is: $\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1} }$ . So lets replace the values in our formula to find the average of our function:
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$\frac{350-150}{8}$
$\frac{200}{8}$
$25$

We can conclude that the average rate of change in Eliza's account from the 2nd month to the 10th month is $25.

6 0

1 year ago

A length is measured as 21cm correct to 2 significant figures. what is the upper bound for the length?

Leno4ka [110]

the upper bound for the length is $21.5 cm$ .

Step-by-step explanation:

Lower and Upper Bounds

The lower bound is the smallest value that will round up to the approximate value.
The upper bound is the smallest value that will round up to the next approximate value.

Ex:- a mass of 70 kg, rounded to the nearest 10 kg, The upper bound is 75 kg, because 75 kg is the smallest mass that would round up to 80kg.

Here , A length is measured as 21cm correct to 2 significant figures. We need to find what is the upper bound for the length . let's find out:

As discussed above , upper bound for any number will be the smallest value in decimals which will round up to next integer value . So , for 21 :

⇒ $21.5 cm$

21.5 cm on rounding off will give 22 cm . So , the upper bound for the length is $21.5 cm$ .

7 0

1 year ago