Use distributive property to solve.
2x(5x+3) + 7(5x+3)
1. distribute
2x•5x = 10x^2
2x•3= 6x
10x^2+6x
7•5x = 35x
7•3= 21
35x+21
2. combine like terms
10x^2+6x+35x+21
10x^+ 41x +21 [final answer]
Answer:
no
Step-by-step explanation:
An Ecosystem is a community of living organisms in conjunction with the nonliving components of their environment, interacting as a system. These biotic and abiotic components are linked together through nutrient cycles and energy flows. Energy enters the system through photosynthesis and is incorporated into plant tissue. By feeding on plants and on one another, animals play an important role in the movement of matter and energy through the system. They also influence the quantity of plant and microbial biomass present. By breaking down dead organic matter, decomposers release carbon back to the atmosphere and facilitate nutrient cycling by converting nutrients stored in dead biomass back to a form that can be readily used by plants and other microbes.
Step-by-step explanation:
Let the number of singing act be x
Let the number of comedy act be y
If the total act is 14, then;
x+y = 14..... 1
If singing acts are 4.5 minutes long and comedy acts are 3.5 minutes long and the acts lasts 59 minutes, then:
4.5x + 3.5y = 59 .......... 2
Solve both equation simultaneously for x and y
x+y = 14
45x+35y = 590
.................................
x+y = 14......... *9
9x+7y = 118....... 1
...............................
9x+9y = 126
9x+7y = 118
Subtract both equations
9y-7y = 126-118
2y = 8
y = 8/2
y = 4
Substitute y = 4 into equation 1;
From 1: x+y = 14
x+4 = 14
x = 14-4
x =10
Hence there are 10 singing acts and 4 comedy acts in the show
Answer:
Step-by-step explanation:
<u>Corresponding side have same ratio:</u>
- 55/121 = 5/11 (divide by 11)
- 40/88 = 5/11 (divide by 8)
- 30/66 = 5/11 (divide by 6)
The similarity ratio or the scale factor of the larger triangle to the smaller is 5/11
