Martin needs 3.25 gallons of red paint for his small barn and 1.25 gallons of paint for his shed. He spends $81 on paint. How much does the paint cost per gallon?
$18.00
$24.54
$27.00
$40.50
To find the cost per gallon, we need to divide the total cost by the total amount of paint used:
Total amount of paint = 3.25 + 1.25 = 4.5 gallons
Cost per gallon = $81 รท 4.5 gallons = $18.00/gallon
Therefore, the answer is $18.00.
Cooper is measuring ingredients for his special dessert. He needs a total of 70.4 mL of milk and melted butter. The recipe calls for 30.6 mL of butter. How much milk, m, does Cooper need for his recipe?
2.3 mL
39.8 mL
40.2 mL
101 mL
To find the amount of milk Cooper needs, we can subtract the amount of butter called for in the recipe from the total amount of milk and butter needed:
Milk needed = Total milk and butter needed - Butter needed
Milk needed = 70.4 mL - 30.6 mL
Milk needed = 39.8 mL
Therefore, Cooper needs 39.8 mL of milk for his recipe. The answer is 39.8 mL.
What is the value of x?
Four-fifths x minus StartFraction 1 Over 10 Endfraction = StartFraction 3 Over 10 EndFraction
One-fourth
StartFraction 8 Over 25 EndFraction
Two-fifths
One-half
First, we need to isolate the variable by adding 1/10 to both sides:
Four-fifths x - 1/10 + 1/10 = 3/10 + 1/10
Simplifying, we get:
Four-fifths x = 2/5
To isolate x, we need to divide both sides by 4/5, or multiply both sides by 5/4:
x = (2/5) * (5/4)
Simplifying, we get:
x = 1/2
Therefore, the value of x is one-half.
What is the least common denominator of the equation StartFraction 2 Over 9 EndFraction x + two-thirds x = 7?
3
9
27
63
To find the least common denominator (LCD) for the given equation, we need to find the least common multiple (LCM) of the denominators 9 and 3.
The multiples of 9 are: 9, 18, 27, 36, 45, 54, 63, ...
The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, 27, 30, 33, 36, 39, 42, 45, 48, 51, 54, 57, 60, 63, ...
We can see that the least common multiple of 9 and 3 is 9.
To solve the equation, we need to rewrite the fractions with the common denominator of 9:
StartFraction 2 Over 9 EndFraction x + StartFraction 2 Over 3 EndFraction x = 7
Multiplying the first fraction by 3/3, we get:
StartFraction 6 Over 27 EndFraction x
Multiplying the second fraction by 3/3, we get:
StartFraction 6 Over 9 EndFraction x
Rewriting the equation with the common denominator of 9:
StartFraction 6 Over 27 EndFraction x + StartFraction 6 Over 9 EndFraction x = 7
Combining the fractions on the left side:
StartFraction 6 Over 27 EndFraction x + StartFraction 18 Over 27 EndFraction x = 7
StartFraction 24 Over 27 EndFraction x = 7
Multiplying both sides by the reciprocal of 24/27:
x = 7 * (27/24)
Simplifying:
x = 21/8
Therefore, the LCD of the equation is 9.
A baby gains 11 pounds in its first year of life. The baby gained 4 and one-fourth pounds during the first four months and 3 and one-halfpounds in its second four months. How much did the baby gain in the last four months?
3 and one-fourthpounds
3 and one-halfpounds
4 pounds
5 pounds
The baby gained 4 and one-fourth pounds in the first 4 months and 3 and one-half pounds in the second 4 months, for a total of:
4 and 1/4 + 3 and 1/2 = 7 and 3/4 pounds gained in the first 8 months
To find how much the baby gained in the last 4 months, we can subtract this amount from the total gain in the first year:
11 - 7 and 3/4 = 3 and 1/4 pounds gained in the last 4 months
Therefore, the baby gained 3 and one-fourth pounds in the last 4 months. Answer: 3 and one-fourth pounds.
Last winter Armand had StartFraction 5 Over 6 EndFraction of a row of stacked logs. At the end of the winter he had StartFraction 8 Over 15 EndFraction of the same row left. How much wood did he burn over the winter?
1 and StartFraction 9 Over 16 EndFraction rows
1 and StartFraction 11 Over 30 EndFraction rows
StartFraction 4 Over 9 EndFraction row
StartFraction 3 Over 10 EndFraction row