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3 years ago

Express each ratio as a fraction in simplest form: 0.3 km to 500 m

Mathematics

2 answers:

Tresset [83]3 years ago

7 0

Answer: 3/5

Step-by-step explanation:

The ratio shows how many times a number is contained in another. To express the ratio as a fraction in its lowest term, we convert 0.3km to metre.

1000 metre makes 1 kilometers. Therefore,

0.3km = 0.3 × 1000 = 300 metre

0.3 km to 500m= 300m to 500m

300m : 500m = 300/500

Reducing to its lowest term, 100 is a common factor.

300/500 = (100×3) / (100×5)

= 3/5.

deff fn [24]3 years ago

5 0

0.3km=300m
300m:500m
(/100)
3:5
3+5=8
0.3km= 3/8
500m= 5/8

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Translate the following statement into an appropriate algebraic statement: The number of text messages sent times $0.15 plus the

Oxana [17]

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3 years ago

why write a quadratic function whose graph has the given characteristics vertex :(2,3) point on graph (0,-1)

GaryK [48]

<h3>Answer:</h3>

f(x) = -(x -2)² +3

<h3>Step-by-step explanation:</h3>

We can fill in the vertex (h, k) values immediately in the vertex form ...

... f(x) = a(x -h)² +k

To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:

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... f(x) = -(x -2)² +3

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3 years ago

Hi guys, I need help to solve this. I can’t understand how the percentage is calculated in (a) and (b) and how the rent is calcu

lana [24]

Answers :

(A) 18.33%
(B) 21.65%
(C) about 173.33
(D) i really have no way of finding the angles for you, you could try to find them yourself; or maybe just leave it blank?

<h3>OK, so judging from the bar shown : </h3>

It looks like <u>Rent</u> takes up 1/3 of the space so 33.33..%

It also looks like <u>Loan Repayment</u> + <u>Savings</u> is another 33.33..% but Savings is slightly larger than Loan Repayment so you could just estimate Savings to be 55% and LR to be 45% of the 1/3 space.

55% of 33.33.. = 18.33%

45% of 33.33.. = 14.99%

LR looks equal to <u>Entertainment</u> making it another <u>14.99.</u>

It also looks like Entertainment + Electricity + Groceries = the last 33.33..%

And since we know <u>Entertainment</u> = 14.99 / 45% of 33.33..

Making <u>Electricity and Water</u> <em>ABOUT</em> 35% of 33.33... which is <u>11.66</u>

And Groceries is somehow 20% of 33.33 = <u>6.66</u>

Rent = 33.33..%
Savings = 18.33%
Loan Repayment 14.99%
Entertainment 14.99%
Electricity and Water 11.66%
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4 0

3 years ago

Stefan sells Jin a bicycle for $137 and a helmet for $17. The total cost for Jin is 140% of what Stefan spent originally to buy

MatroZZZ [7]

Answer:

Stefan originally spent $110.

Stefan made a profit of $44.

Step-by-step explanation:

Given that:

Stefan sold the bike and helmet for $137 and $17

Total amount = 137+17 = $154

This is 140% of the price Stefan originally paid.

Let,

x be the original price paid by Stefan

140% of x = $154

$\frac{140}{100}x=154\\1.4x = 154\\\frac{1.4x}{1.4}=\frac{154}{1.4}\\x=110$

Therefore,

Stefan originally paid $110 for the bicycle and helmet.

Profit made by Stefan = 154-110 = $44

Hence,

Stefan originally spent $110.

Stefan made a profit of $44.

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3 years ago

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Karolina [17]

Answer:

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<u>Complete the square</u>

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2 years ago