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SCORPION-xisa [38]
2 years ago
6

Estimate the value 9.03 + 19.87 x 3.11 - 4.97

Mathematics
1 answer:
dybincka [34]2 years ago
8 0

Answer:

82

Step-by-step explanation:

For this problem you would first round everything. 9.03 becomes 9, 19.87 becomes 20, 3.11 becomes 3 and 4.97 becomes 5. You then just do the problem. 9 + 20 = 29, multiplied by 3 makes 87, 87 - 5 = 82.

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8x + 20y = 20<br> 14x + 35y = k<br> For the above system of equations to be consistent, k must equal
Goshia [24]

Answer:

  35

Step-by-step explanation:

The equations will be "consistent" when they describe lines that are not parallel.

<h3>Slopes</h3>

The slope of a line whose equation is written in this form is the opposite of the ratio of the y-coefficient to the x-coefficient:

  line 1 slope = -8/20 = -2/5

  line 2 slope = -14/35 = -2/5

These lines have the same slope, so will be parallel unless they have the same y-intercept.

<h3>Y-intercept</h3>

The y-intercept of each line is the ratio of the constant to the y-coefficient:

  line 1 y-intercept = 20/20 = 1

  line 2 y-intercept = k/35

We want these lines to have the same y-intercept so that they are not inconsistent. This requires ...

  k/35 = 1

  k = 35

For the equations to be consistent, we must have k = 35.

__

<em>Additional comment</em>

Linear equations are generally categorized as "consistent" or "inconsistent," and "dependent" or "independent."

Equations are "inconsistent" if there are no values of the variables that satisfy all of the equations. They are "dependent" if they describe exactly the same relation between the variables. "Consistent" equations may be "dependent" (describing the same line, as here), or "independent" (describing lines with different slopes.)

7 0
2 years ago
Simplify these expressions<br> a) 13x+2y-10x-7y
joja [24]

\bold\green{Answer}:-

13x + 2y - 10x - 7y \\ 3x - 5y

<u>I </u><u>hope </u><u>it </u><u>helped </u><u>u </u>

7 0
2 years ago
Read 2 more answers
What is the center and radius of the following circle (x - 5) ^ 2 + (y + 2) ^ 2 = 16
murzikaleks [220]

Answer:

Step-by-step explanation:

if center=(h,k)

radius=r

eq. of circle is (x-h)^2+(y-k)^2=r^2

given eq. is (x-5)^2+(y+2)^2=16=4^2

comparing

center =(5,-2)

radius r=4

4 0
3 years ago
What whole number best approximates the value of x?
ivanzaharov [21]

The answer is 87

For this problem, the method I used was more of a guess and check because I simply plugged the options into a calculator to see which one would be closest a little bit past 9.3 but not all the way 9.4

the square root of 87 is 9.32 so you would round down while the square root of 88 is 9.38 which would round up

Hope this helps :)

4 0
2 years ago
Fish oil contains fatty acids that are good for the heart! Some studies show that they may reduce the risk of coronary disease!
VikaD [51]
Your doctor wants you to take 12 tablets per day.

Each tablet is 250 mg, so 4 tablets make 1g.


4 tablets x 3g = 12 tablets a day
4 0
3 years ago
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