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Slav-nsk [51]
3 years ago
8

Every student is given a student ID number. If each number is 6 digits long, how many possible numbers are there?

Mathematics
1 answer:
Gnesinka [82]3 years ago
5 0

Answer:

4

Step-by-step explanation:

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Find three consecutive integers such that the sum of the first and twice the second is 80 minus three times the third
ivanzaharov [21]

Answer:

The three consecutive integers are 12, 13, 14.

Step-by-step explanation:

Encode the question in an equation. We are given two facts: (1) the three integers are consecutive, and (2) they relate to each other through a sum.

Pick any of the integers (first, second, or third) and call it n. Then write the two others correspondingly in terms of n. I pick the middle one as n, so the three consecutive integers are (n-1), n, (n+1). That's (1). As for (2), here is the fact:

(n-1)+2n = 80-3(n+1)

Lo and behold, one equation with one unknown! Easy to solve for n to give us  the middle integer, n:

(n-1)+2n = 80-3(n+1)\\3n-1= 80-3n -3\\6n =78\\n = 13

The three consecutive integers are 12, 13, 14.

3 0
4 years ago
Solve this system of equations<br><br> 5x + 4y = 6<br> 10x -2y = 7
Akimi4 [234]

Answer:

x = 4/5

y = 1/2

Step-by-step explanation:

8 0
3 years ago
√5+√6 plsssssssssssssssssssssssssssse​
pantera1 [17]

Answer:

4,68556

Step-by-step explanation:

√5+√6

<u>=</u><u> </u><u>4,68556</u>

8 0
3 years ago
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4 5/8 tones = pounds
kvasek [131]

Answer:

dont know

Step-by-step explanation:

7 0
4 years ago
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What is the equation, in slope-intercept form, of the line that is perpendicular to the line
wlad13 [49]

Answer:

y=\frac{1}{2} x-1

Step-by-step explanation:

The initial line is given in "point-slope form" (y-y_0=m(x-x_0) therefore we can easily extract from it the slope, and obtain from it what should be the slope of a line perpendicular to it:

Given the expression: y-4=-2(x-6)

we understand that the slope is "-2", and the point through which the line passes is the point (6,4) on the plane. We are concerned about the slope, since a line perpendicular to the given line must have a slope that corresponds to the "opposite of the reciprocal" of the original slope.

The opposite of "-2" is "2", and the reciprocal of this is "1/2".

Therefore the slope of the perpendicular line must be "1/2".

Now we can build the equation of the line perpendicular line through the point (-2,-2) by using again the "point-slope form":

y-y_0=m(x-x_0)\\y-(-2)=\frac{1}{2} (x-(-2))\\y+2=\frac{1}{2} (x+2)

Solving for y in this last expression we express the line in slope_y-intercept form:

y+2=\frac{1}{2} (x+2)\\y+2=\frac{1}{2} x+1\\y=\frac{1}{2} x+1-2\\y=\frac{1}{2} x-1

6 0
4 years ago
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