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zaharov [31]
3 years ago
12

What is the difference between rates and proportions???

Mathematics
1 answer:
frez [133]3 years ago
6 0
A rate often involves time:  e. g., 33 feet per second; also, we are finding the ratio of one type of measurement with respect to another:  distance and time.

A proportion is often the ratio of different measures of the same thing:

e. g.   5 apples
          ------------
           7 apples
You might be interested in
Hallar la ecuación de la recta que pasa por el punto P(-3,-1) y por el punto de intersección de las rectas 2x − y = 9 y 3x − 7y
adell [148]

Answer:

y = -1

Step-by-step explanation:

The standard form of equation of a line is y = mx+b

m is the slope

b is the y intercept

Get the coordinate of the point of interception of the line 2x - y = 9 and 3x - 7y = 19

Make y the subject of the formula in both expressions

For 2x  - y = 9

- y = 9- 2x

y = 2x - 9

Similarly for 3x - 7y = 19

-7y = 19 - 3x

7y = 3x - 19

y = 3/7 x - 19/7

Equating both expressions

2x - 9 = 3/7 x - 19/7

Multiply through ny 7

14x - 63 = 3x - 19

14x - 3x = -19 + 63

11x = 44

x = 44/11

x = 4

Since y =2x - 9

y = 2(4) - 9

y = 8-9

y = -1

Hence the coordinate of intersection is at (4, -1)

Get the equation of the line passing through (-3, -1) and (4, -1)

Slope m = -1+1/4+3

m = 0/7

m = 0

Get the intercept

Substitute m = 0 and (-3, -1) into y = mx+b

-1 = 0(-3) + b

-1 = b

b = -1

Get the required equation

Recall that y = mx + b

y = 0x + (-1)

y = -1

Hence the required equation is y = -1

4 0
2 years ago
Each year for 4 years, a farmer increased the number of trees in a certain orchard by of the number of trees in the orchard the
Neko [114]

Answer:

The number of trees at the begging of the 4-year period was 2560.

Step-by-step explanation:

Let’s say that x is number of trees at the begging of the first year, we know that for four years the number of trees were incised by 1/4 of the number of trees of the preceding year, so at the end of the first year the number of trees wasx+\frac{1}{4} x=\frac{5}{4} x, and for the next three years we have that

                             Start                                          End

Second year     \frac{5}{4}x --------------   \frac{5}{4}x+\frac{1}{4}(\frac{5}{4}x) =\frac{5}{4}x+ \frac{5}{16}x=\frac{25}{16}x=(\frac{5}{4} )^{2}x

Third year    (\frac{5}{4} )^{2}x-------------(\frac{5}{4})^{2}x+\frac{1}{4}((\frac{5}{4})^{2}x) =(\frac{5}{4})^{2}x+\frac{5^{2} }{4^{3} } x=(\frac{5}{4})^{3}x

Fourth year (\frac{5}{4})^{3}x--------------(\frac{5}{4})^{3}x+\frac{1}{4}((\frac{5}{4})^{3}x) =(\frac{5}{4})^{3}x+\frac{5^{3} }{4^{4} } x=(\frac{5}{4})^{4}x.

So  the formula to calculate the number of trees in the fourth year  is  

(\frac{5}{4} )^{4} x, we know that all of the trees thrived and there were 6250 at the end of 4 year period, then  

6250=(\frac{5}{4} )^{4}x⇒x=\frac{6250*4^{4} }{5^{4} }= \frac{10*5^{4}*4^{4} }{5^{4} }=2560.

Therefore the number of trees at the begging of the 4-year period was 2560.  

7 0
3 years ago
Consider the normal distribution curve. A graph shows the horizontal axis numbered 50 to 78. There is no vertical axis. Variance
nikdorinn [45]

Answer:

The variance of the data is 49.

The median is 64.

The data point 50 is two standard deviations away from the mean.

Step-by-step explanation:

Took it on EDGE. Hope you pass!

5 0
3 years ago
Read 2 more answers
what are the solutions of the equation x4 95x2 – 500 = 0? use factoring to solve. and x = ±10 and x = ±10i and x = ±10i and x =
Andreas93 [3]

Doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

<h3>What is Factorization?</h3>

In mathematics, factorization or factoring consists of writing a number or any mathematical item as a product of several factors, typically small or easier objects of the same.

For example, 3 × 5 is a factorization of an integer 15 and is a factorization of an equation x² – 4.

So, we have the equation:

x⁴ + 95x² – 500 = 0

Factorizing the above equation:

x⁴ + 100x² - 5x² - 500 = 0

x²(x² + 100) - 5(x² + 100) = 0

(x² - 5)(x² + 100) = 0

Solving further:

x² = 5

x² = -100

x = ±√5

x = √-100

Factors: ±√5 and ±10i

Therefore, doing factorization, we know that the factors of the given equation are ±√5 and ±10i.

Know more about Factorization here:

brainly.com/question/25829061

#SPJ4

Complete question:
What are the solutions of the equation x4 + 95x2 – 500 = 0? Use factoring to solve.

x=+- sqrt 5 and x = ±10

x=+- sqrt i5 and x = ±10i

x=+- sqrt 5 and x = ±10i

x=+- sqrt i5 and x = ±10

7 0
1 year ago
Martin and Alexia are rock climbing each person's rate stays the same for the first hour they climb mountain climbers 3 1/3 mete
Minchanka [31]

1. If Martin climbs 3 1/3 meters in the first one 1/6 hour, then he climbs

3\dfrac{1}{3}\cdot 6=\dfrac{10}{3}\cdot 6=20 meters per hour. Then, option A is correct and options C and E are false.

2. If Alexia climbs 17 1/2 in the first 5/6 hour, then she climbs

17\dfrac{1}{2}\cdot \dfrac{6}{5}=\dfrac{35}{2}\cdot \dfrac{6}{5}=21 meters per hour and it takes Alexia \dfrac{1}{21} of an hour to climb 1 meter. Then options B and D are correct and option F is false.

Answer: correct options are A, B and D.

7 0
3 years ago
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