Answer:
80 roses
Step-by-step explanation:
Divide 100 by 5 to find the unit rate, which is 20 roses for every flower arrangement. Multiply 20 by 4 to find how many roses the florist would use for 4 arrangements.
Step-by-step explanation:
Solve the system via elimination (add the equations):
-10y + 9x = -9
+ (10y + 5x = -5)
-----------------------
14x = -14
x = -1
Plug in the value for 'x' into the second equation:
-10y + 5(-1) = -5
Solve for y:
-10y - 5 = -5
--> -10y = 0
--> y = 0
x = -1
y = 0
Answer: 30°, 67° e 83°.
Step-by-step explanation: The angles are (2x + 16)/5 , x e x + 16°
Adding all the angles, comes:
(2x + 16)/5 + x + x + 16° = 180° ;
2x + 16° + 5x + 5x + 80° = 900° ;
12x = 900° - 16° - 80° ;
12x = 804°° ;
x = 804°/12 ;
x = 67°
So, the first angle is (2,67 + 16)/5 = 30°, the second is 67° and the third is 83°.
Answer:
15
Step-by-step explanation:
The product of the prime factors of 3375 are
3375 = 3³ × 5³, then
=
= ×
= 3 × 5
= 15
Answer:
The numbers are either {-3, -2, -1} or {7, 8, 9}.
Step-by-step explanation:
Let the smallest integer be represented by x. The middle number is x+1, and the largest number is x+2.
The product of the smaller and larger number is (x)(x+2).
15 more than 6 times the middle number is 6(x+1)+15.
(x)(x+2)=6(x+1)+15
x^2+2x=6x+6+15
x^2+2x=6x+21
x^2-4x-21=0
(x-7)(x+3)=0
x=-3 or x=7
The numbers are either {-3, -2, -1} or {7, 8, 9}.