Answer:
378 ≤ x ≤ 678
Step-by-step explanation:
If you're looking to book both a DJ and a light show we have to take into account the minimum that you'll pay up to the maximum cost "x". This can be done by adding the lowest cost for both meaning:
$219 + $159 = $378
And the most you'll pay:
$369 + $309 = $678
So you can say that the amount you'll pay is in between $378 and $678. Mathematically speaking you can also say that you'll pay more than or equal to $378 and less than or equal to $678. The previous statement can be written mathematically as a compound inequality as such:
Answer:
(3, - 1 )
Step-by-step explanation:
Given the 2 equations
3x + y = 8 → (1)
7x - 4y = 25 → (2)
Multiplying (1) by 4 and adding to (2) will eliminate the y- term
12x + 4y = 32 → (3)
Add (2) and (3) term by term to eliminate y
19x + 0 = 57
19x = 57 ( divide both sides by 19 )
x = 3
Substitute x = 3 into either of the 2 equations and solve for y
Substituting into (1)
3(3) + y = 8
9 + y = 8 ( subtract 9 from both sides )
y = - 1
solution is (3, - 1 )
Answer:
m∠UQT = 52°
m∠UTQ = 42°
x = 1
Step-by-step explanation:
∠UQT is an alternate interior angle of ∠RSQ
Therefore, ∠UQT is 52°
∠UTQ is an alternate interior angle of ∠URS
Therefore, ∠UTQ is 42°
The diagonals of a parallelogram are congruent, so 4x + 1 is 5
-Chetan K
Answer:
Area: 5 cm squared
Perimeter: 12 cm
Step-by-step explanation:
The area is Length times Width, and there is 5 different sqaures in the figure.Each sqaure has an area of 1 by 1, which is 1. 1 times 5 is 5. So the area is 5. You can get the perimeter by adding all the side lengths together, 2+3+2+1+1+1+1+1=12. The perimeter is 12. Hope this helps.
M is Matt's sticker count, D is David's:
The equations:
The average sticker count has to be 120, so:
(M + D) / 2 = 120
Matt has twice as many as David:
M = 2D
Substitute for M in the average, so:
(2D + D) / 2 = 120
Solving you get:
3D = 240
D = 80 and 120 - 80 is 40, so Matt has to give him 40 stickers.
Hope this helps :)