Answer:
11 gallons of paint Jay needed for the inside
.
Step-by-step explanation:
Consider the provided information.
Let x is the quart of paint Jay needed for the outside.
Let y is the quart of paint Jay needed for the inside
.
Jay needs 19 quarts more paint for the outside of his barn than for the inside.
He uses 107 quarts in all,
Substitute the value of x in above equation.
Hence, 44 quarts of paint Jay needed for the inside
.
But we need to find how many gallons of paint will be used to paint the inside of the barn.
So convert 44 quarts into gallon.
1 quarts = 0.25 gallon
1×44 quarts = 0.25×44 gallon
44 quarts = 11 gallon
Hence, 11 gallons of paint Jay needed for the inside
.
55% x n = 33
divide 33 by .55
n = 60
Step-by-step explanation:
8x + 4y <= 136
2x + y <= 34
trying (15, 9) :
2x + 7y <= 70
2×15 + 7×9 <= 70
30 + 63 <= 70
93 <= 70
that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.
trying (0, 10) :
2×0 + 7×10 <= 70
70 <= 70
that is true.
2×0 + 10 <= 34
10 <= 34
also true.
so, (0, 10) is the correct answer option.
Answer:
12 sales
Step-by-step explanation:
Let x represent the number of sales each man had.
For Salesman A, he earns $65 per sale; this is 65x.
For Salesman B, he earns $40 per sale; this is 40x. We also add to this his weekly salary of $300; this gives us 40x+300.
Since their pay was equal, set the two expressions equal:
65x = 40x+300
Subtract 40x from each side:
65x-40x = 40x+300-40x
25x = 300
Divide both sides by 25:
25x/25 = 300/25
x = 12
Answer:
1.) The quotient of a number and 2 = x ÷ 2
2.) A number decreased by 2 = x - 2
3.) 2 times a number = 2x
4.) 2 increased by a number = 2 + x
Step-by-step explanation:
Let's look for key words hidden in these sentences:
1.) The <u>quotient</u> of a number and 2 = The word quotient refers to division
2.) A number <u>decreased</u> by 2 = The word decreased refers to subtraction
3.) 2 <u>times</u> a number = the word times refers to multiplication
4.) 2 <u>increased</u> by a number = the word increased refers to addition
Hope this helps!
