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3 years ago

Two numbers are in a ratio of 5:4. Their sum is 720. Find the bigger number.

1 answer:

8 0

So the numbers are x and y
x:y=5:4
x/y=5/4
this means that x is worth 5 units and y is worth 4 units so
x:y=5:4, therefore it can be represented by
x:y=5z:4z
we know that they add to 720
720=5z+4z
add like terms
720=9z
divide by 9
80=z
multiply by 4
320

80=z
mutipply by 5
400

the numbers are 400 and 320

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Eighth grade ) T.5 Pythagorean theorem: word problems 87U

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Step-by-step explanation:

Let a represent the length of where the bird was sitting to the oak tree

let b represent the height of the tree

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2 years ago

Bentley is going to invest $98,000 and leave it in an account for 7 years. Assuming

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Answer:

The rate of interest for compounded daily is 2.1 6

Step-by-step explanation:

Given as :

The principal investment = $ 98,000

The Time period for investment = 7 years

Let The rate of interest compounded daily = R %

The Amount at the end up = $ 114,000

<u>From compounded method</u>

Amount = Principal × $(1+\dfrac{rate}{365\times 100})^{365\times Time}$

Or, $ 114,000 = $ 98,000 × $(1+\dfrac{R}{365\times 100})^{365\times 7}$

Or, $\frac{114000}{98000}$ = $(1+\dfrac{R}{36500})^{2555}$

or, 1.16326 = $(1+\dfrac{R}{36500})^{2555}$

or, $(1.16326)^{\frac{1}{2555}}$ = 1 + $\frac{R}{36500}$

1.00005919 - 1 = $\frac{R}{36500}$

or, 0.00005919 = $\frac{R}{36500}$

∴ R = 0.00005919 × 365000 = 2.16

Hence the rate of interest for compounded daily is 2.1 6 Answer

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3 years ago

Luke and isabella make scale drawings.The scale from isabella's drawing is 6 m to 3 cm. The height of the fountain in isabella's

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Answer:

The answer is " $2.5 \ cm$ "

Step-by-step explanation:

While Luke is 5m to 2cm in size, it implies that every 2cm to Luke's drawing is 5m in real life. That real pond width must therefore be 5 m, given the fountain's width is 2 cm. As shown in the illustration, the step size for IsabelLa from the illustration to real life is $\frac{6}{3} =2$ , which makes it simple to multiply any measure in the cm of her illustration by 2 to accomplish the exact size in m. So, in another direction around, they just have to divide the value by 2, instead of the divide from reality for drawing. So if the actual worth is 5m, it ought to be $\frac{5}{2} = 2.5 \ cm$ in its width.