3. 140= 3x +x
140= 4x
140/4 = 4x/4
35=x
3x= 35 * 3
3x= 105
The length is 105 ft
4. Number of dimes= d and number of quarters=q
d+q= 27
10d + 25q= 405
d= 27-q
10(27 -q) +25 q= 405
270 -10q + 25q= 405
270 + 15q= 405
15q= 135
q=9
d + q= 27
d +9=27
d=18
She has 18 dimes
5. 6 gal with a 50-50 split means 3 gallons each. The 60-40 has 3 gallons of lime. If 3 gal is 60%, the volume is 5 gal. We need to add 1 gallon
six
Step-by-step explanation:
the reason is this: let steak be (s), pork be (p), grilled chicken be (gc), tea be (t), and coffee be (c)
now, we want to find the total number of outcomes, and this cannot be determined by a simple roll of the dice. you have to count the sample space required for EVERY outcome, and it has to lie within the conditions. so, assuming David only takes 1 main course and 1 drink, he would be down to six option, which are :
1. s & t
2. s & c
3. p & t
4. p & c
5. gc & t
6. gc & c
(a) Without solving the equation we can't determine whether its true or false.
(b) If x = 3
4x + 1 = 2x + 5
4(3) + 1 = 2(3) + 5
12 + 1 = 15 + 5
13 = 20
No, if x = 3, the equation will not be true.
(c) 4x + 1 = 2x + 5
4x - 2x = 5 - 1
2x = 4
x = 4/2
x = 2
This shows that x = 2 makes the equation true.
Answer:
No.
Step-by-step explanation:
It does not pass the vertical line test, so the relation is not a function. This is because there are x-values that have several y-values. To be a function, a relation must have x-values that only have one y-value each.
Hope this helps!
Answer:
Equation of the circle =
80 = ( x - 1)^2 + (y + 1)^2
Step-by-step explanation:
Center = (1 , -1)
Point = ( 5 , 7)
Eqn of a circle is
r^2 = (x - h)^2 + (y - k)^2
We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r
Using the center (1, -1)
h - 1
k - -1
r^2 = (x - 1)^2 + ( y - -1)^2
r^2 = (x - 1)^2 + (y + 1)^2
With the point ( 5,7)
x = 5
y = 7
r^2 = ( 5 - 1)^2 + ( 7 + 1)^2
= 4^2 + 8^2
= 16 + 64
= 80
r^2 = 80
r = square root of 80
r = 8.94
The r = 8.94 , which means the equation of the circle is
80 = (x - 1)^2 + ( y + 1)^2
