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2 years ago

Prices are going up in the ratio 6:5 Write a 60% decrease as a ratio.

Mathematics

1 answer:

ivolga24 [154]2 years ago

3 0

Answer:

To Decrease an amount in a given Ratio, we need to multiply by a fraction that is less than one. For example, in scaling down a recipe for four people into a recipe for 3 people, we would use the ratio of 3 : 4 which means we would multiply all our recipe amounts.

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Week 1 2 3 4 5 Water Level (inches) − 1 1 4 1 3 8 2 1 2 − 1 5 8 − 1 3 4 Between which two weeks did the water level change the m

suter [353]

Answer:

The water level change the most in week 3 and week 4

The change = -370 inches

Step-by-step explanation:

Given - Week 1 2 3 4 5

Water Level (inches) − 1 1 4 1 3 8 2 1 2 -1 5 8 -1 3 4

To find - Between which two weeks did the water level change the most? Calculate the change .

Proof -

The formula for change in water level with respect to week be-

Rate of Change in Water Level = Difference in water level / Difference in weeks

Now,

For week 1 and week 2

Rate of change in water level = $\frac{138 - 114}{2 - 1}$ = $\frac{24}{1}$ = 24 inches

Now,

For week 1 and week 3

Rate of change in water level = $\frac{212 - 114}{3 - 1}$ = $\frac{98}{2}$ = 49 inches

Now,

For week 1 and week 4

Rate of change in water level = $\frac{-158 - 114}{4 - 1}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 1 and week 5

Rate of change in water level = $\frac{-134 - 114}{5 - 1}$ = $-\frac{248}{4}$ = -62 inches

Now,

For week 2 and week 3

Rate of change in water level = $\frac{212 - 138}{3 - 2}$ = $\frac{74}{1}$ = 74 inches

Now,

For week 2 and week 4

Rate of change in water level = $\frac{-158 - 138}{4 - 2}$ = $-\frac{296}{2}$ = -148 inches

Now,

For week 2 and week 5

Rate of change in water level = $\frac{-134 - 138}{5 - 2}$ = $-\frac{272}{3}$ = -90.67 inches

Now,

For week 3 and week 4

Rate of change in water level = $\frac{-158 - 212}{4 - 3}$ = $-\frac{370}{1}$ = -370 inches

Now,

For week 3 and week 5

Rate of change in water level = $\frac{-134 - 212}{5 - 3}$ = $-\frac{346}{2}$ = 173 inches

Now,

For week 4 and week 5

Rate of change in water level = $\frac{-134 + 158}{5 - 4}$ = $\frac{24}{1}$ = 24 inches

∴ we get

The water level change the most in week 3 and week 4

The change = -370 inches

Note :

The highest change means which temperature goes the most change in water level. It can be negative also.

So, We have to take the modulus and then find the highest number.

Here, 370 > 173

So, Highest change occurs in Week 3 and Week 4 but not in Week 3 and Week 5.

7 0

2 years ago

In a population of 10,000 geese the growth rate is 4% per year. What is the total increase in population over 4 years? Round you

omeli [17]

Answer:

Step-by-step explanation:

10000*4%= 400 Geese year1

10400*4%=416 Geese year 2

10816*4%= 432.64 Geese year 3

11,248.64*4%= 449.95 Geese. year 4

11248.64+449.95= 11698.59

11698.59-10000=1698.59

Increased by 1699 Geese.

3 0

2 years ago

Read 2 more answers

Express in the form of p/q :<br><br> (i) 0.12▁3 (ii) 0. ▁621 (iii) 2.2▁18

konstantin123 [22]

Answer:

1)0.123( bar on 3)

Let X = 0.123 ( bar on 3)

Then X = 0.1233 --------(1)

Multiply equation (1) by 100 we get,

100X = 12.33 --------(2)

Again multiply equation (2) by 10 we get,

1000X = 123.33 -------(3)

Subtract equation (2) from equation (3) we get,

1000X = 123.33

100X = 12.33

____________

900X = 111

X = 111/900

Hence,

0.123 ( bar on 3) is in the form of 111/900 which is in the form of P/Q.

6 0

3 years ago

Need help plz help me

forsale [732]

8200? 82,000? 820,000?

4 0

3 years ago

In a test (+5) marks are given for every correct answer and (-2) marks are given for every incorrect answer. Smitha answered all

Ymorist [56]

Answer:

15 answers

Step-by-step explanation:

To solve this question we need to set up an equation.

Let's name the number of incorrect answers x.

<u>We can set up an equation that's essentially:</u>

(Points for correct answer)*(number of correct answers)+(points for incorrect answer)*(number of incorrect answers)=final score

When we plug in our numbers and variables it looks like this:

5(3)+(-2x)=-15

Simplify

15-2x=-15

Subtract 15 from both sides

-2x=-30

Divide both sides by -2

x=15

This means Smitha attempted 15 wrong answers, and that there were 18 questions in total.

6 0

1 year ago