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1 year ago

jared has mowed 2/5 of the yard abby says that jason has mowed 4/6 of the yard is abby correct EXPLAIN

Mathematics

1 answer:

nata0808 [166]1 year ago

3 0

2 3/4 = 11/4
4 1/8 = 33/8
11/4 / 33/8 = 11/4 * 8/33 = 88/132 = 2/3
he mows 2/3 of an acres per hour

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In 2004, a magazine's circulation was about 1,000,000 readers. In 2014, the magazine had about 2,000,000 readers. Write a linear

professor190 [17]

Answer:

$r(t)=100,000t+600,000$

Step-by-step explanation:

Let

r ----> the number of readers (y-coordinate or dependent variable)

t ----> the number of years after 2000 (x-coordinate or independent variable)

Remember

2004 ----> represent t=4 years

2014 ----> represent t=14 years

we have the ordered pairs

(4,1,000,000) and (14,2,000,000)

step 1

Find the slope

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{2,000,000-1,000,000}{14-4}$

$m=\frac{1,000,000}{10}$

$m=100,000\frac{readers}{year}$

step 2

Find the equation of the line in point slope form

$r-r1=m(t-t1)$

we have

$m=100,000\\point\ (4,1,000,000)$

substitute

$r-1,000,000=100,000(t-4)$

step 3

Convert to slope intercept form

$r=mt+b$

isolate the variable r

$r-1,000,000=100,000t-400,000\\r=100,000t-400,000+1,000,000\\r=100,000t+600,000$

step 4

Convert to function notation

$r(t)=100,000t+600,000$

6 0

1 year ago

The two conditional relative frequency tables show the results of a neighborhood survey on the number and types of gardens in th

Ivenika [448]

Answer:

Step-by-step explanation:

if youre looking on edge then yeah

3 0

2 years ago

Read 2 more answers

A scientist is studying tulips and daffodils. The scientist estimates that there are 150 tulips in the population of 600 tulips

Flauer [41]

Answer: Last Option is correct.

Step-by-step explanation:

Since we have given that

Total number of tulips and daffodils = 600

Number of tulips = 150

Number of daffodils is given by

$600-150\\\\=450$

So, We can get the ratio of tulips to daffodils which is given by

$Tulips:Daffodils\\\\150:450\\\\1:3$

So, we need to choose a random sample of flowers to represent the population.

1) He can choose 50 flowers.

As there are 1:3 of tulip and daffodils flowers but if we divide 50 by 4 it will give a decimal number, so it can't represent the required thing.

2) He can choose 25 tulips and 25 daffodils

As they are divided into 1:1 so, it can't represent the 1:3 tulip to daffodils population.

3) He can choose 15 tulips and 60 daffodils

As it is divided into 1:4 inspite of 1:3.So it can't represent the required population.

4) He can choose 10 tulips and 30 daffodils.

So, Last option which states that he can choose 10 tulips and 30 daffodils as in this case the ratio of tulips to daffodils is 1:3.

Hence, Last Option is correct.

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1 year ago

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A school principal has to choose randomly among the six best students in each grade to be the school captain every month. For th

Viefleur [7K]

Since there are 6 students out of which one needs to be selected, the principal chose two die on which there are six numbers each numbered from 1 , 2, 3, 4, 5, 6.

Since there are two dice, the total possible outcome is 36.

Hence, the probability of getting one number each is 1/36

Hence, the principal used a fair method because each result is an equally likely possible outcome.

Option B is correct.

5 0

1 year ago

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The range of all real numbers x such that 2x − 5 < 7 OR 4x + 10 > 6 is___

scoray [572]

First, simplify the two inequalities.

2x - 5 < 7
2x < 12 <-- Add 5 to each side
x < 6 <-- Divide both sides by 2

4x + 10 > 6
4x > -4 <-- Subtract both sides by 10
x > -1 <-- Divide both sides 4

Now we have the compound inequality x < 6 OR x > -1

To fulfill the first inequality, x has to be less 6. For the second inequality, x has to bigger than -1.

So, the answer is B. (-infinity, infinity).

4 0

1 year ago