Let h = number of hours she worked on Monday
Given that she makes <span>$9 per hour, it is 9 x h or 9h.
If her tips is a fixed </span><span>$15 amount, then we simply add 15.
9h + 15
This expression above is the amount she made last Monday.
Since she made no less than </span>$110, meaning she made more than <span>$110 last monday.
The final inequality is: 9h + 15 > 110.
</span>
Answer:
g= 6
j = 2
r= 4
Step-by-step explanation:
Gummy bears = $1.50 per pound
Jelly beans = $1.00 per pound
Runt = $1.00 per pound
Total cost of the mixture = $15.00
Let
g = quantity of gummy bears
j = quantity of jelly beans
r = quantity of runts
g + j + r=12 (1)
1.5g + 1.0j + 1.0r = 15 (2)
three times as many gummy bears as jelly beans.
g=3j
Substitute g=3j into 1
g + j + r = 12
3j + j + r =12
4j + r =12 (3)
Substitute g=3j into 2
1.5g + 1.0j + 1.0r = 15
1.5(3j) + 1.0j + 1.0r =15
4.5j + 1.0j + 1.0r = 15
5.5j + 1.0r =15 (4)
4j + r =12 (3)
5.5j + 1.0r =15 (4)
Subtract (3) from (4)
5.5j - 4j = 15-12
1.5j = 3
Divide both sides by 1.5
j = 3/1.5
= 2
j = 2
Substitute j = 2 into (3)
4j + r =12
4(2) + r =12
8 + r = 12
r= 12-8
r= 4
Substitute j=2 and r= 4 into (1)
g + j + r=12
g + 2 + 4 = 12
g + 6 = 12
g = 12-6
=6
g=6
g= 6
j = 2
r= 4
Answer:
The coordinates of b are: (x, y) = (3, -4)
Step-by-step explanation:
Given
Given that the midpoint of the ab is:
The coordinates of a are:
To determine
The coordinates of b = ?
Let b (x, y) be the coordinates of b.
Given that the midpoint of the ab is m(-2, -1)
Thus,
(x - 7) / 2 = -2, (y + 2) /2 = -1
now solving
(x - 7) / 2 = -2
(x - 7) = -2 × 2
x - 7 = -4
adding 7 in both sides
x - 7 + 7 = -4 + 7
x = 3
and solving
(y + 2) /2 = -1
(y + 2) = -1 × 2
y + 2 = -2
subtracting 2 from both sides
y + 2 - 2 = -2 - 2
y = -4
Thus,
The coordinates of b are: (x, y) = (3, -4)
Answer:
5
___
4
Step-by-step explanation:
To answer this item, we just have to substitute the given to the equation, where s is equal to 4 and v is equal to 80 ft/s.
4 = (80)t - 0.5(32 ft/s²)(t²)
The value of t from the equation generated above is equal to 4.94 s. Thus, the answer is approximately 5, letter D.
