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mash [69]
2 years ago
10

How many three-digit positive integers

class="latex-formula"> satisfy 3874x+481\equiv 1205 \pmod{23}
Mathematics
1 answer:
Anastaziya [24]2 years ago
3 0

Answer:

  40

Step-by-step explanation:

Any solution x will mod 23 will also have x+23n as a solution, for some integer n. Since 900/23 = 39 3/23, we know there are 39 or 40 three-digit integers of this form.

As it happens, 100 is the smallest 3-digit solution. So, there are 40 three-digit numbers that are of the form 100 +23n, hence 40 solutions to the equation.

_____

The equation reduces, mod 23, to ...

  10x = 11

Its solutions are x = 23n +8.

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The triangle below has a total perimeter of 450 cm:
Korvikt [17]
Equation: 450 = 128 + 150 + n

work:

1st step:
128+150 = 278

2nd step:
450-278 = 172

answer: 172

3rd step (checking) :
450 = 128 + 150 + 172
450 = 278 + 172
450 = 450

3 0
3 years ago
An ordinary (fair) die is a cube with the numbers 1 through 6 on the sides (represented by painted spots). Imagine that such a d
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The sum is greater than 6
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2 years ago
The wall below is 90% covered with graffiti. The entire wall is 228 ft2. How much square footage does the graffiti cover?
Rama09 [41]
205.2 square feet

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6 0
3 years ago
A baseball player hits a pitched ball when it is 4 ft above the ground. The initial upward velocity is 80 ft/s. How
iren [92.7K]

Answer:

t=+4.06

Step-by-step explanation:

when the baseball hits the ground, the height will be 0.

h=0we are given that h=−16t2+64t+4.

this means that the height is 0 when −16t2+64t+4=0.−16t2+64t+4=0divide both sides by 4:−4t2+16t+1=04=0−4t2+16t+1=0 can be solved using the quadratic formula:t=−b±√b2−4ac2a, where at2+bt+c=0.at2+bt+c=−4t2+16t+1a=−4,b=16,c=1t=−b+√b2−4ac2aor−b−√b2−4ac2a−b+√b2−4ac2a=−16+√272−8=−0.06..−b−√b2−4ac2a=−16−√272−8=4.06 (3s.f.)we have 2 values for t:−0.06 and 4.06.

since time cannot be negative, only the positive value can be taken.

this is 4.06, to 3 significant figures.the time taken is 4.06 seconds.

7 0
1 year ago
What is 10% of 1/4 please help and explain
makvit [3.9K]
10/100=0.1
1/4=0.25
0.1*0.25=0.025
5 0
2 years ago
Read 2 more answers
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