So... we have two numbers
say "a" and "b"

one is larger than the other, let us say, "b" is larger than "a"
by how much?
well, "<span>eight more than three times"
three times the smaller is 3 * a, or 3a
eight more than that is 3a + 8

so b = 3a+ 8
the sum of both of them is 52
so, we know that

a + b = 52

run a substitution on "b" on the 2nd equation, and solve for "a"
once you find "a", plug it back in the 2nd equation, to get "b"

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7 0

4 years ago

A rectangular auditorium seats 1702 people. The number of seats in each row exceeds the number of rows by 9. Find the number of

klemol [59]

We have been given that a rectangular auditorium seats 1702 people. Also, the number of seats in each row exceeds the number of rows by 9.

Let us assume that there are x rows in the auditorium. Therefore, there must be (x+9) seats in the each row. This will also be equal to the number of columns in the auditorium.

Therefore, we can set up an equation as:

$x(x+9)=1702\\x^{2}+9x=1702\\x^{2}+9x-1702=0$

We can now factor this quadratic as shown below:

$x^{2}+9x-1702=0\\(x-37)(x+46)=0$

Upon solving this equation, we get:

$x=-46,37$

Since number of rows cannot be negative. Therefore, there must be 37 rows in the auditorium. And hence, the number of seats in each row will be 37+9=46 seats.

8 0

3 years ago

3. Look for a pattern to determine the next two numbers in the list. Show your work. (5 points)

EleoNora [17]

Answer:

The sequence is subtracting 12 each time. The next two numbers would be 152, and 140

Step-by-step explanation:

3 0

4 years ago