Find the least common denominator for these two rational expressions

In a certain urban are, the relationship between , number of students ,x, in thousands, and the number schools, y, has an x-inte

chubhunter [2.5K]

Answer:

-12 = 3x - 4y

Step-by-step explanation:

Two points on the graph are (-4, 0) and (0, 3). Moving from the first point to the second, we see x (the 'run') increase by 4 and y (the 'rise') increase by 3. Thus, the slope of this line is m = rise / run = 3/4.

Using the point slope form, we get:

y - 3 = (3/4)(x - 0), or

4y - 12 = 3x, or

-12 = 3x - 4y (which is in Standard Form).

6 0

3 years ago

Please need some help on this

vredina [299]

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8 0

3 years ago

Sam Kramer earns an annual salary of $38,900. He is paid semimonthly. His personal exemptions total $4826. The state income tax

Alisiya [41]

Step-by-step explanation:

we pay taxes of the income without the exemptions.

so, the tax-interresting amount is

38,900 - 4826 = $34,074

2% of the first $1000 = $20

$34,074 - 1000 = $33,074

3% of the next $3000 = $90

$33,074 - 3000 = $30,074

3.5% of the next $3000 = $105

$30,074 - 3000 = $27,074

4% of $27,074 = $1,082.96

so, in total he pays state taxes over a year

20+90+105+1082.96 = $1,297.96

now, he gets paid semimonthly, that means twice a month.

his salary but also his deductions (incl. tax deductions) are all split across these 24 paychecks per year.

so, each state income tax deduction is then

$1,297.96 / 24 = $54.08 on every paycheck.

8 0

3 years ago

36 is _______% less than 60?

Arte-miy333 [17]

60*(1-x)=36
60-60x=36
-60x=36-60
-60x=-24
x=24/60
x=4/10
x=2/5
x=0.4

36 is 40% less than 60

4 0

3 years ago

Read 2 more answers

Jason and Britton are driving to St. George. Jason got a 20 mile head start and drove an

harina [27]

Answer:

2 hours, 150 miles

Step-by-step explanation:

The relation between time, speed, and distance can be used to solve this problem. It can work well to consider just the distance between the drivers, and the speed at which that is changing.

<h3>Separation distance</h3>

Jason got a head start of 20 miles, so that is the initial separation between the two drivers.

<h3>Closure speed</h3>

Jason is driving 10 mph faster than Britton, so is closing the initial separation gap at that rate.

<h3>Closure time</h3>

The relevant relation is ...

time = distance/speed

Then the time it takes to reduce the separation distance to zero is ...

closure time = separation distance / closure speed = 20 mi / (10 mi/h)

closure time = 2 h

Britton will catch up to Jason after 2 hours. In that time, Britton will have driven (2 h)(75 mi/h) = 150 miles.

__

<em>Additional comment</em>

The attached graph shows the distance driven as a function of time from when Britton started. The distances will be equal after 2 hours, meaning the drivers are in the same place, 150 miles from their starting spot.

3 0

1 year ago