Answer:
x=3
Step-by-step explanation:
Hello,
The first thing you do is set up your equation, and we are solving for x so we are going to get x by itself on one side of the = sign.
2x/3+1=3 First thing: subtract 1 from BOTH sides.
-1 -1
----------------------
2x/3=2 Multipliy by 3 on both sides
*3 *3
-----------------------
2x=6 Divide by 2 on both sides
/2 /2
-----------------------
x=3
I hope this helped you!!!
Answer:
9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
Step-by-step explanation:
Diameter of reamed hole = 0.278 inch
Radius of reamed hole = 
Surface area of reamed hole = 
Surface area of reamed hole = 
Surface area of reamed hole = 0.06066794
Diameter of pin = 
Radius of pin =
Surface area of pin = 
Since the surface area of pin is more than the surface area of hole .
So, a 9/32 inch diameter pin will not fit into a reamed hole with a diameter of 0.278 inch
59,317 I dno how to explain it but it may be wrong you should do the math yourself to check..
"They have different slopes but the same y-intercept, so they have one solution" is the statement which best describes the two lines.
Answer: Option D
<u>Step-by-step explanation:</u>
Given equations:


As we know that the slope intercept form of a line is
y = m x + c
So, from equation 1 and equation 2 we can see that


So, from the above expressions, we can say that both lines have different slopes but have same y – intercept with one common solution when x = 0.
Answer: She would need 206 paper cups.
Step-by-step explanation: First of all, Monica has a 10-gallon container full of lemonade and this translates into 37850 cubic centimetres volume of lemonade. The conversion rate has been provided as one gallon equals 3785 cubic centimetres, therefore ten gallons would be 3785 times ten which gives you 37,850 cubic centimetres of lemonade.
Each cone shaped paper cup has a diameter measuring 8 centimetres and 11 centimetres in height. The radius of the cone shaped cup therefore is 4 centimetres (radius equals diameter divided by two). The volume of each cup therefore is given as;
Volume of a cone = (πr²h)/3
Volume of a cone = (3.14 * 4² * 11)/3
Volume of a cone = 552.64/3
Volume of a cone = 184.2
If each cone could hold 184 cubic centimetres of lemonade, then the entire ten gallons would require the following number of cone shaped cups;
Number of cups = Total volume/Volume of a cup
Number of cups = 37850/184.2
Number of cups = 205.48
Rounded to the nearest whole number, this becomes
Number of cups ≈ 206
Therefore Monica would need 206 cone shaped paper cups to empty the entire 10 gallons of lemonade.