The solution is shown in the graph attached.
Explanation:
I am goind to teach you how to get that solution.
1) Restricctions: both x and y cannot be negative, i.e.
x ≥ 0 and y ≥ 0⇒ the solution is on the
first quadrant.2) Using the prices of the tickets, $ 8 for adults, and $ 6 for children, the linear equation for the
costs is: cost = 8x + 6y.3) Since the radio station is willing to spend a
maximum of $ 172 you have the final restriction:
⇒ 8x + 6y ≤ 172.4) Then the solutions that meet the three restrictions (x ≥0, y ≥ 0, and 8x + 6y ≤ 172) is found graphically by drawing the line 8 x + 6y = 172
5) To draw the line 8x + 6y = 172, use the axis intercepts:
x = 0 ⇒ y = 172/6 = 86/3 ⇒ point (0, 86/3)
y = 0 ⇒ x = 172/8 = 86/4 ⇒ point (86/4, 0)
6) Once you have the line you
shade the region that is between the line and the two axis. That region contain of the possible solutions.
Answer:
In ∆ABC AND ∆DEF
ABC=DEF...........each 90°
SIDE AB =SIDE ED...........given
SIDE BC =SIDE EF............B-F-C and E-C-F
∆ABC =∆DEF....................by SAS test
Answer:
561
Step-by-step explanation:
an = dn - (a-d)
The difference is 3.
The first term is 12.
an = 3n - (12-3)
an = 3n - 9
Put n as 1, 2, 3, 4, 5 ....22.
3(1) - 9 = -6
3(2) - 9 = -3
3(3) - 9 = 0
3(4) - 9 = 3
3(5) - 9 = 6
...
3(22) - 9 = 57
Add the first 22 terms.
-6+-3+0+3+6+9+12+15+18+21+24+27+30+33+36+39+42+45+48+51+54+57
= 561
I don’t know how to do this type stuff so sorry hope someone els can help u tho
• x+1.793= 2.42
x-1.793= 2.42-1.793 FALSE
• 5.25x = 15.75
Solve for x, by dividing both sides of the equation by 5.25
x = 15.75/5.25
x = 3 TRUE
• The equation x = 2.4 *11.62 can be rewritten as x = 11.62 * 2.4. TRUE
• The solution to the equation x + 9.43 = 16.09 is x = 6.66.
x+9.43 = 16.09
Subtract 9.43 from both sides of the euqation:
x-9.43+9.43= 16.09-9.43
x = 6.66 TRUE