MATHEMATICS HIGH SCHOOL

Evaluate the expression. -12 divided by 4 - 6

Answers

Answer 1
Answer: I got -9 because u divided -12 by 4 which equals -3 and then subtract 6 and get -9
Answer 2
Answer:

Answer:

-9

Step-by-step explanation:

Hope this helps.

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One year the attendance at the SuperBowl was 79,401 the following year, the attendance was 89,916 .Use words to explain the relationship between the digit 9 in 79,401 and the digit 9 in 85,916.

Answers

The 9 in 79,401 is in the thousands place and the 9 in 85,916 is in the hundreds place
The 9 in the 79 401 is in the thousand digit place value while the 9 in the 85 916 is in the hundred digit place value.

What multiplies to -900 and adds to 5?

Answers

xy = -900
x + y = 5

     x + y = 5
x - x + y = -x + 5
           y = -x + 5

                                                xy = -900
                                      x(-x + 5) = -900
                                  x(-x) + x(5) = -900
                                       -x² + 5x = -900
                             -x² + 5x + 900 = 0
               -1(x²) - 1(-5x) - 1(-900) = 0
                          -1(x² - 5x - 900) = 0
                                       -1            -1
                               x² - 5x - 900 = 0
                               x = -(-5) ± √((-5)² - 4(1)(-900))
                                                      2(1)
                               x = 5 ± √(25 + 3600)
                                                  2
                               x = 5 ± √(3625)
                                             2
                               x = 5 ± 5√(145)
                                           2
                               x = 2.5 ± 2.5√(145)

                          x + y = 5
   2.5 ± 2.5 √(145) + y = 5
- (2.5 ± 2.5√(145)       - (2.5 ± 2.5√(145)
                                y = 2.5 ± 2.5√(145)
                          (x, y) = (2.5 ± 2.5√(145), 2.5 ± 2.5√(145))

The two numbers that add up to 5 and multiply to -900 are 2.5 ± 2.5√(145).

If David bought 12 pencils for $3.00. How much did 1 pencil cost?

Answers

Step-by-step explanation:

get the cost of 12 pencil and divide by those 12 pencils to get the cost of 1 pencil

Answer:
$.65

We divide $3.00 by 12 which gets us $.65.

Hope you understand!

At a point on the ground 24 feet from the base of the tree, the distance to the top of the tree is 4 feet more than three times the height of the tree. find the height of the tree.

Answers

Answer:

7 feet

Step-by-step explanation:

(3h + 4)² = 24² + h²

9h² + 24h + 16 = 576 + h²

8h² + 24h - 560 = 0

h² + 3h - 70 = 0

(h + 10)(h - 7) = 0

h = 7' (h cannot be -10)

What composite number is greater than 1000 whose prime factorization contains 1 prime number that does not repeat 1 prime number that repeats three times and 1 prime number that repeats twice?

Answers

Final answer:

The composite number sought is 12250 which is greater than 1000. Its prime factorization includes the prime numbers 2 (that does not repeat), 5 (that repeats thrice), and 7 (that repeats twice).

Explanation:

The subject is looking for a composite number greater than 1000, whose prime factorization contains 3 types of prime numbers: one that does not repeat, the second repeats three times, and the third repeats twice. We have many prime numbers but to get a number greater than 1000, let’s use larger prime numbers for instance 2, 5 and 7. Let's calculate the composite number with these primes:

2^1 * 5^3 * 7^2 = 2 * 125 * 49 = 12250

Therefore, 12250 is a composite number greater than 1000 whose prime factorization contains 1 prime number(2) that does not repeat, 1 prime number(5) that repeats three times and 1 prime number(7) that repeats twice.

Learn more about Prime Factorization here:

brainly.com/question/32793456

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Three apples and 2 oranges cost $1.25, while 2 apples and an orange were 75 cents. At the rate, find the cost of 6 apples and an orange. ( please show steps thanks!)

Answers

x - apple
y - orange

3x+2y=1.25\n 2x+y=0.75\n\n 3x+2y=1.25\n -4x-2y=-1.5\n --------\n -x=-0.25\n x=0.25\n\n 2\cdot0.25+y=0.75\n 0.5+y=0.75\n y=0.25\n\n 6x+y=6\cdot 0.25+0.25=1.5+0.25=\boxed{1.75}
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