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3 years ago

Which pair of ratios forms a proportion?

Mathematics

2 answers:

Murrr4er [49]3 years ago

4 0

Answer:

6/7 and 48/56

Step-by-step explanation:

6x8=48

7x8=56

cricket20 [7]3 years ago

4 0

A, hope this helps :)

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Compare: 7/20 O 35%<br><br> who answers first get brainlest

Ugo [173]

Step-by-step explanation:

7/20

=0.35

35%

=35/100

=0.35

Hence, 7/20=35%

7 0

3 years ago

What is the missing number in this pattern?<br> 0, 2, 6, ----, 30, 62

mario62 [17]

Answer:

Step-by-step explanation:

so the pattern is they add 2 then they add 4 then they add 8 then the add 16 basically they are double the number being added each number so the missing number is 14

5 0

3 years ago

Read 2 more answers

Consider the parent function f(x) = x^2 and the transformed function f(x) =- 5(x - 4)^2 – 8. Identify the

madam [21]

Given:

The parent function is

$f(x)=x^2$

Consider the transformed function is g(x) instead of f(x) because both functions are different.

$g(x)=-5(x-4)^2-8$

Step-by-step explanation:

We have,

$f(x)=x^2$

$g(x)=-5(x-4)^2-8$

It can be written as

$g(x)=-5f(x-4)-8$ ...(i)

The translation is defined as

$g(x)=kf(x+a)+b$ .... (ii)

Where, k is stretch factor, a is horizontal shift and b is vertical shift.

If 0<|k|<1, then the graph compressed vertically by factor k and if |k|>1, then the graph stretch vertically by factor k.

If k is negative, then f(x) is reflected across the x-axis to get g(x).

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (i) and (ii), we get

$a=-4$ , f(x) shifts 4 units right.

$b=-8$ , f(x) shifts 8 units down.

$k=-5$ , it is negative so f(x) reflected across the x-axis.

$|k|=|-5|=5>1$ , so f(x) stretched vertically by factor 5.

Therefore, the function f(x) reflected across the x-axis, stretched vertically by factor 5 and shifted 4 units right 8 units down to get g(x).

8 0

3 years ago

A t-shirt increased in price by

kifflom [539]

Answer:

923

Step-by-step explanation:

Global warming might cause rising sea levels and severe drought. ... (Also discuss whether power should remain with individual countries or be placed in an all-European government.) Think about the physical and human geography of Europe.

3 0

3 years ago

If the principal is $300 rate 3% time 4 years then what is the interest earned and the new balance

Tomtit [17]

Answer:

a) Interest earned = $36

New Balance = $336

b) Interest rate = 0.05 or 5%

New Balance = $517.5

c) time t = 5

New Balance = $612.5

d) Principal Amount = $675

New Balance = $783

Step-by-step explanation:

We are given:

a) Principal (P) = $300

Rate (r) = 3% or 0.03

Time (t)= 4 years

Interest earned = ?

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding interest

$Simple \ Interest (I)= P\times r\times t\\Simple \ Interest (I)= 300\times 0.03\times 4\\Simple \ Interest (I)= 36$

So, Interest earned = $36

New Balance = Principal + Interest = 300+36 = $336

b) a) Principal (P) = $300

Rate (r) = ?

Time (t)= 3 years

Interest earned = 67.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding rate

$Simple \ Interest (I)= P\times r\times t\\67.50= 450\times r\times 3\\67.50=1350\times r\\r=\frac{67.50}{1350}\\r=0.05 \ or \ 5\%$

So, Interest rate = 0.05 or 5%

New Balance = Principal + Interest = 450+67.50 = $517.5

c) Principal (P) = $500

Rate (r) = 4.5% or 0.045

Time (t)= ?

Interest earned = $112.50

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding time

$Simple \ Interest (I)= P\times r\times t\\112.50= 500\times 0.045\times t\\112.50=22.5 \times t\\t=\frac{112.50}{22.5}\\t=5$

So, time t = 5

New Balance = Principal + Interest = 500+112.50 = $612.5

d) Principal (P) = ?

Rate (r) = 8% or 0.08

Time (t)= 2 years

Interest earned = 108.00

The formula used is: $Simple \ Interest (I)= P\times r\times t$

Putting values and finding Principal

$Simple \ Interest (I)= P\times r\times t\\108=P\times 0.08 \times 2\\108=P\times 0.16\\P=\frac{108}{0.16}\\P=675$

So, Principal Amount = $675

New Balance = Principal + Interest = 675+108 = $783

8 0

3 years ago