X+y=28
xy=7
xy=7
divide both sides by x
y=7/x
sub 7/x for y in first equation
7/x+x=28
times both sides by x
7+x^2=28x
minus 28x from both sides
x^2-28x+7=0
use quadratic formula
if
ax^2+bx+c=0
x=
x=
x=
sub for y
y=7/x
y=
the reciprocals are
and
times first one by
and second by 7/7
evaluate the plus and minus yourself please, my head hurts
Answer:
1. 1/2
2. 3/4
3. 1/6
4. 1/4
5. 7/4
6. 3/2
7. 5/1
8. 2/7
9. 1/4
Step-by-step explanation:
A ratio compares values.
So if there are 3 oranges and 12 apples, we can say that there is a ratio of 3 : 12 meaning there are 3 oranges for every 12 apples.
Ratios can be written in different ways, but they mean the same thing:
- Using the ":" to separate the values: 3 : 12
- Or using the word "to" to separate the values: 3 to 12
- or as a fraction:
A ratio can also be scaled up or scaled down (as long as we do the same thing to both values):
- 3 : 12 is the same as 6 : 24 (multiplied both values by 2)
- 3 : 12 is the same as 1 : 4 (divided both values by 3)
1. 2 to 4 = 2 : 4 = 2/4
We can reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 2: 2/4 = 1/2
2. 15/20
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 5:
15/20 = 3/4
3. 6 : 18 = 6/18
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
6/18 = 1/6
4. 3 to 12 = 3 : 12 = 3/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 3:
3/12 = 1/4
5. 7 : 4 = 7/4
This fraction cannot be reduced any further as the numerator is a prime number. Prime numbers are whole number greater than 1 that cannot be made by multiplying other whole numbers.
6. 18/12
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 6:
18/12 = 3/2
7. 35 : 7 = 35/7
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 7:
35/7 = 5/1
(5/1 = 5 however the question is asking you to write the ratio in the lowest fraction, so the lowest fraction is 5/1)
8. 8/28
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 4:
8/28 = 2/7
9. 24 : 96 = 24/96
Reduce this fraction by dividing both the numerator (top value) and denominator (bottom value) by 24:
24/96 = 1/4
Answer:
3:4, 15:20, 60:80
Step-by-step explanation:
If a train is traveling 8 miles every 6 minutes then you find the ratio 6:8 to find the first answer you divide both numbers by two. To find the second number you multiply the 3:4 by five, and to find the third number you multiply the 3:4 by 20.
3:4
15:20
60:80
3/3 (3 over 3 or 3 divided by 3) is the expression. Each person should get one apple. 3/3 = 4/4 = 9/9 <- these are equal because they all solve to equal 1.