First we already know that he makes 200 dollars a month at the bowling alley so we can do 500-200 and he would need to 300 dollars from delivering newspapers. Then we need to divide 300 by 5 to see how many hours he needs to work and we would get 60. That means the answer is he would have to deliver newspapers for 60 hours
Answer:
A crest is the highest point of a wave.
A trough is the lowest point of a wave.
Infrasound is sound below the limit that humans can hear, below 20 Hz.
Ultrasound is sound above the limit that humans can hear, above 20,000 Hz.
Answer:
Vg
Step-by-step explanation:
All the others are decimals
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Answer:
The determinant of A (the main matrix) is -3; the determinant of y is 30; the determinant of x is 18; the solution to the system is (-6, -10)
Step-by-step explanation:
Set up the matrix to find the determinant of the main matrix. Find the determinant by multiplying the numbers on the major axis and subtract from that the multiplication of the numbers on the minor axis:
Find the determinant by multiplication:
(2×-2)-(1×-1)= -3
To find the determinant of y, replace the second column with the solutions to have a matrix that looks like this:
To find the determinant of that matrix by multiplication:
(2×14)- (1× -2) = 30
Lastly, find the determinant of x by replacing the first column with the solutions. That matrix will look like this:
Find the determinant of x by multiplication:
(-2 × -2) - (14 × -1) = 18
Now we want Cramer's Rule that tells us if we divide the determinant of
by the determinant of A, we will find the value of x:
and the same for y:
So the solution to the system is (-6, -10)
Answer:
<h2>
Emily: 72 marbles</h2><h2>
Asif: 8 marbles</h2>
<em>Step-by-step explanation:</em>
first lets find in how many shares is the total amount of marbles divided into:
7+1=8
now, lets find how many marbles are in each share:
64/8=8
now that we know that each share of marbles contains 8 marbles, we can find how many each child got:
Emily got 7 shares: 8*7= 72 marbles
Asif got 1 share: 8*1= 8 marbles
Hence,
<h3><em>Emily got 72 marbles, while Asif got 8 marbles</em></h3>