Answer:
8 and 6
Step-by-step explanation:
If you use x for the first number, and y for the second, you get equations of 3x+5y=54 and x-2=y.
You can substitute the second equation into the first one to solve it. This gives 3x+5(x-2)=54.
The brackets can be expanded to 3x+5x-10=54. Collecting like terms makes it 8x-10=54.
Next, we add 10 to both sides. This gives 8x=64.
From there, we isolate the x by dividing both sides by 8, giving x=8.
To work out the second number, we can sub 8 for x in either equation (I'm using the second one as it's simpler).
This comes to y=8-2, therefore y=6.
**This content is simultaneous equations, which you may wish to revise. I'm always happy to help!
Answer:
Step-by-step explanation:
The sum of angles in a triangle is 180 degrees. So the third angle in the triangle is
90+32+a=180
a+122=180
a=58
Now angle x is adjacent to angle a so their sum must equal 180 degrees so
x+58=180
x=122 degrees
Answer:
444
Step-by-step explanation:
since 37/100 students liked chocolate you need to scale that data to the new data size and find thirty seven percent of 1200 which is 444
There are mistakes in the answer options attached. These are the correct ones.
a. The group that received the bottle of solution is the control group.
b. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group.
c. Both the groups are control groups.
d. Neither group is an control group.
Answer:
B. The group that received the bottle of solution that did not contain the ingredients that are meant to lessen wrinkles is the control group
Step-by-step explanation:
In an experiment of this type, the control group is the group that does not contain the treatment. So in this group The effect of the treatment unknown unlike the experimental group which gets the treatment that the researcher is trying to find it's effect.
I. Conclusion, the group that got bottles that did not contain Ingredients for wrinkles lessening is the control group.
Answer:
C. since 8, 15, 17 are pythagorean triples