All categories

3 years ago

0.75x - y = - 2.1 0.6y 2.4x +9

Mathematics

1 answer:

Alex17521 [72]3 years ago

6 0

Answer:

4x-3

Step-by-step explanation:

Yea

You might be interested in

Convert 14x + 6y = 36 to slope intercept form.

zubka84 [21]

Answer:

y = - $\frac{7}{3}$ x + 6

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c

Given

14x + 6y = 36 ( subtract 14x from both sides )

6y = - 14x + 36 ( divide all terms by 6 )

y = - $\frac{14}{6}$ x + 6, that is

y = - $\frac{7}{3}$ x + 6 ← in slope- intercept form

6 0

3 years ago

Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same poi

skelet666 [1.2K]

Answer:

Alan: 200 m/min

Brian: 150 m/min

Step-by-step explanation:

Given : Two cyclists, Alan and Brian, are racing around oval track of length 450m on the same direction simultaneously from the same point. Alan races around the track in 45 seconds before Brian does and overtakes him every 9 minutes.

To find : What are their rates, in meters per minute?

Solution :

Let n represent the number of laps that Alan completes in 9 minutes.

Then n-1 is the number of laps Brian completes.

45 seconds = 3/4 minutes.

The difference in their lap times in minutes per lap is

$\frac{9}{(n -1)}-\frac{9}{n} =\frac{3}{4}$

Solving the equation we get,

$\frac{9n-9n+9}{n(n -1)} =\frac{3}{4}$

$9\times 4=3\times n(n -1)$

$36=3\times n(n -1)$

$n^2-n-12=0$

$n^2-4n+3n-12=0$

$n(n-4)+3(n-4)=0$

$(n-4)(n+3)=0$

$n=4,-3$

Neglecting n=-3

So, n=4

Then Alan's speed in m/min is

$S=\frac{D}{T}$

$S_a=\frac{4\times 450}{9}$

$S_a=200 m/min$

Brian completes 3 laps in that 9-minute time, so his rate is

$S_b=\frac{3\times 450}{9}$

$S_b=150 m/min$

Therefore, Alan: 200 m/min

Brian: 150 m/min

4 0

3 years ago

At the beginning of the month a store had a balance of −$554. During the month the store lost another $600. What is the current

musickatia [10]

When subtracting a number from a negative number the number appears to get larger, but in fact only becomes smaller. - 554 - 600 = - $1154

4 0

3 years ago

Read 2 more answers

Write the number with the same values as 28tens

fgiga [73]

The answer is 2,800 or 2800

4 0

3 years ago

Read 2 more answers

Answer the following equations:

Andrew [12]

Step-by-step explanation:

3(t+5) = 9

3t+15 = 9

3t = -6

t = -2

2(f-7) = -10

2f - 14 = -10

2f = 4

f = 2

-(c - 9) = 4

-c + 9 = 4

-c = -5

c = 5

-6(2t + 8) = -84

-12t - 48 = -84

-12t = -36

12t = 36

t = 3

-10 (s + 2) = -57

-10s - 20 = -57

-10s = -37

s = 3.7

7(3w + 8)/3 = -9

By cross multiplication,

7(3w + 8) = -27

21w + 56 = -27

21w = -83

w = -3.95

35/5 = (F - 32)/9

7 = (F - 32)/9

By cross multiplication,

63 = F - 32

63 + 32 = F

95 = F

Hope it helps.

7 0

2 years ago