Hi!
See my image for the answer.
I put each of the choices into the equation, then solved it.
The answer is B. (4,-12)
Hope this helps! :)
-Peredhel
to write 98 as a product of its prime factors we have to first find the prime factors of 98
prime factors are prime numbers by which the given number can be divided by.
98 we have to keep dividing it by prime numbers
98 is an even number so we can first divide by 2
98 / 2 = 49
49 is a multiple of 7 which too is a prime number so we can divide 49 by 7
49/7 = 7
7 can be divided again by 1
7/7 = 1
98 is divisible by 2 and 7
so 98 written as a product of prime factors is
98 = 2 x 7 x 7
Answer:
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Step-by-step explanation:
Maria’s hard drive holds 1.0 ×10^6 megabytes of data. Larry has two hard drives, one that holds 5.1 × 10^5 megabytes of data and one that holds 7.7 × 10^5 Which statement is true? A) Maria can store more data than Larry because 10^6 > 10^5 B) Larry can store more data than Maria because 5.1 + 7.7 = 12.8 and 12.8 > 1.0 C) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^5 D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 ×10^6
Given:
Maria’s hard drive stores 1.0 × 10^6 megabytes of data.
Larry has two hard drives,
Hard drive A = 5.1 × 10^5 megabytes of data
Hard drive B = 7.7 × 10^5
Hard drive A = 5.1 × 10^5
Hard drive B = 7.7 × 10^5
Hard drive A + hard drive B
5.1 × 10^5 + 7.7 × 10^5
= 12.8 × 10^5
Making sure Maria's hard drive and Larry's hard drive are in the same standard form
= 1.28 × 10^6
Maria's hard drive can only store 1.0 × 10^6 megabytes of data while Larry's hard drive can store 1.28 × 10^6
Therefore,
D) Larry can store more data than Maria because the sum of his hard drive space is 1.28 × 10^6
Let x represent the larger number.
1/(x -28) +4/x = 1/6
Multiplying by the product of denominators, we have
6x +24(x -28) = x(x -28)
In standard form, this is
x^2 -58x +672 = 0
(x -42)(x -16) = 0
The two numbers are (-12 and 16) or (14 and 42).
Answer:
135
Step-by-step explanation:
A=1/2(b•h) so,
18x15=270
270/2 =135
