If the cup = S + 3
and the
saucer = S
then
(S + 3) + S = 12
2s + 3 = 12
2s = 9
s = 4.50
So by itself the saucer costs $4.50. To find the cost of the cup look to the beginning of the problem where we learned that
Cup = S + 3
cup = 4.50 + 3
cup = 7.50
So the saucer is $4.50 and the cup is $7.50...
4.50 + 7.50 = $12.00
It checks!
35/32 = 35/32
If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.
35/32 = 1 3/32
9 and 7/8 as a precent is 0.875 or 87%
Answer:
-22°F < x < 266°F.
Step-by-step explanation:
The question states the incorrect formula to convert the Celsius temperature (C) into the Fahrenheit temperature (F). The correct one is given by:
F = 9C/5 + 32.
The given temperature inequality in Celsius is:
-30°C < x < 130°C; where x is any number that satisfies the inequality.
To convert it into Fahrenheit, simply plug in the values in the above formula.
Lower Limit:
F = 9(-30)/5 + 32.
F = -54 + 32.
F = -22°F.
Upper Limit:
F = 9(130)/5 + 32.
F = 234 + 32.
F = 266°F.
Therefore, the inequality will be -22°F < x < 266°F!!!
Answer:
The amount invested in the mutual fund that earned 5% was $1,000
The amount invested in the mutual fund that earned 3% was $1,800
Step-by-step explanation:
Let
x ----> the amount invested in the mutual fund that earned 5%
y ----> the amount invested in the mutual fund that earned 3%
we know that
----> 
----> equation A
----> equation B
Solve the system by substitution
substitute equation A in equation B
Solve for x
<em>Find the value of y</em>
therefore
The amount invested in the mutual fund that earned 5% was $1,000 and the amount invested in the mutual fund that earned 3% was $1,800
