Answer:
7 groups
Step-by-step explanation:
1 hour = 60 minutes
3/4 of an hour = 3/4(60) = 45 minutes
therefore, 1 3/4 hours is 105 minutes
105 divided by 15 is 7
Answer:
Step-by-step explanation:
Let x be the "number."
"twice the difference of a number and 16" can be written as:
2(x-16)
"is the same as three times a number less than 18" can be written as:
= 3(x<18)
I wonder if this was meant to say "is the same as three times a number less 18," instead of "less than 18." If so, we would have:
=3(x-18)
1. Using the sentence as written: 2(x-16) = 3(x<18)
2. Using the sentence as amended: 2(x-16) = =3(x-18)
Going with this interpretation:
2(x-16) = 3(x-18)
2x - 32 = 3x - 54
x = 22
Answer:
She earns $8.00 more on Sunday
Step-by-step explanation:
Saturday 12.50x4=50.00
Sunday 14.50x4=58.00
$2.93/$42= about 7% tax
$58*7%= $<span>4.06 in tax</span>
Answer:
Equation is: y = 0.5x² + 0.5x - 3
Explanation:
general form of the parabola is:
y = ax² + bx + c
Now, we will need to solve for a, b and c.
To do this, we will simply get points from the graph, substitute in the general equation and solve for the missing coefficients.
First point that we will use is (0,-3).
y = y = ax² + bx + c
-3 = a(0)² + b(0) + c
c = -3
The equation now becomes:
y = ax² + bx - 3
The second point that we will use is (2,0):
y = ax² + bx - 3
0 = a(2)² + b(2) - 3
0 = 4a + 2b -3
4a + 2b = 3
This means that:
2b = 3 - 4a
b = 1.5 - 2a ...........> I
The third point that we will use is (-3,0):
y = ax² + bx - 3
0 = a(-3)² + b(-3) - 3
0 = 9a - 3b - 3
9a - 3b = 3 ...........> II
Substitute with I in II and solve for a as follows:
9a - 3b = 3
9a - 3(1.5 - 2a) = 3
9a - 4.5 + 6a = 3
15a = 7.5
a = 7.5 / 15
a = 0.5
Substitute with the value of a in equation I to get b as follows:
b = 1.5 - 2a
b = 1.5 - 2(0.5)
b = 0.5
Substitute with a and b in the equation as follows:
y = 0.5x² + 0.5x - 3
Hope this helps :)
