Answer:
1. 5 is a solution to the inequality
2. 8 is a solution to the inequality
3. q=20 is a possible solution to the inequality
4. t=28 is not a possible solution to the inequality
Step-by-step explanation:
1.
1+f<7
subtract 1 from both sides of the inequality;
f<7-1
f<6
The value of f should therefore be strictly less than 6. From the alternatives given only the number 5 meets this condition and is thus a solution to the inequality.
2.
g-3>4
add 3 to both sides of the inequality;
g>4+3
g>7
The value of g should therefore be strictly greater than 7. From the alternatives given only the number 8 meets this condition and is thus a solution to the inequality.
3.
q-2>16
add 2 to both sides of the inequality;
q>16+2
q>18
The value of q should therefore be strictly greater than 18. Consequently, q=20 is a solution to the inequality since;
20>18
4.
t-7<10
add 7 to both sides of the inequality;
t<10+7
t<17
The value of t should therefore be strictly less than 17. Consequently, t=28 is not a solution to the inequality since;
28 is not less than 17.
Answer:
16
Step-by-step explanation:
The first thing you would do is the 1+3, because parentheses are solved first. This gives you 4 and subsequently 8/2 * 4.
Next you would do 8/2. Multiplication and divison have the same priority so this is done left to right: 8/2 =4, giving us 4 * 4.
Four times four is sixteen.
Answer:
x= -2
Step-by-step explanation:
The first thing I did was isolate the x's on one side. I subtracted 38x from both sides. This gives me:
-9x=18.
Now i divide both sides by -9. Giving me x=-2
Answer:
D
Step-by-step explanation:
The pattern is each end of the figure is expanding by one. A and C are automatically out because there is nothing in the middle of any figure in the previous pattern. B is out because it is the same as figure three. D is correct because it follows the rule of the pattern by expanind outwards one block on each end.
Answer will depend on the value of the radius. If radius is 6 and height is 7, volume is: 791.28 m^3
If radius is 7 and height is 6, volume is: 923.16 m^3
