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
Each day Luna spent 35 euros. Since she spent the same amount of money each day, 35 euros, all you need to do is add 35 euros to the amount of money she had left after the first day. Your answer will be 350 euros.
I hope this helps! :)
To find The interest owed the formula is
I=prt
I interest owed?
P principle 7000
R interest rate 0.08
T time 6/12
I=7,000×0.08×(6÷12)
I=280
To find the balance at the end of 6 months the formula
A=p+I
A=7,000+280
A=7,280
Hope it helps!
Answer:
Step-by-step explanation:
3/12=1/4, which means 1 banana per muffin
5/24=4.8, which means 5 bananas per muffin
1/48, which means 1 banana per 48 muffins
Answer:
Yes, see the explanation.
Roots:
x = , or x= -10
Step-by-step explanation:
A quadratic fomrual in standard form is;
ax^(2) + bx + c = 0
The given equation:
4x^2 = -9x - 4
Maniplate the equation using inverse operations
4x^2 = -9x - 4
-4x^2 -4x^2
0 = -4x^2 - 9x - 4
Yes, this is a quadratic equation, because it fits the requirement of being able to be written in standard form.
Now find its roots:
-4x^2 -9x - 4 = 0
remember,
x =
Substitute in the given values
x=
Simplify,
x =
x =
x =
or
x= -10