Answer:
each side of the hexagon measures 40 cm (which agrees with answer B)
Step-by-step explanation:
Recall that a regular hexagon has six equal sides, therefore, each side would be one sixth of the 240 cm:
each side of the hexagon = 240 cm / 6 = 40 cm
Step-by-step explanation:
it's a v-t graph.
hence,you have to know the properties of the graph.
Gradient of the graph=acceleration
and
Area under the graph=distance/displacement
i hope this help!
Answer:
7
Step-by-step explanation:
We need to translate all these statements to equations.
First of all, let P be the pistachios, W the walnuts and N the peanuts.
The first statement "3 pistachio and 1 walnut weigh the same as 10 peanuts" can be represented as:
3 P + 1 W = 10 N
The second statement "1 pistachio and 6 peanuts weigh the same as 1 walnut" can be represented as:
1 P + 6 N = 1 W
If we notice, both equations have a similar term: 1 W. The second gives us the equivalence to the weight of 1 walnut, whereas in the first we have the weight of 1 walnut as an unknown variable. Lets replace it!
3 P + 1 W = 10 P
3 P + (1 P + 6 N) = 10 P
4 P + 6 N = 10 P
We now need to sum (-4P) in both sides to eliminate the 4 P on the left:
4 P + 6 N - 4P = 10 P - 4 P
6 N = 6 P
Dividing both sides by 6:
N = P
Now we need an equation that relates walnuts to peanuts. Lets replace N=P on our firts equation:
3 P + 1 W = 10 P
3 N + 1 W = 10 N
Summing (-3 N) in both sides:
3 N + 1 W - 3N = 10 N - 3N
1 W = 7 N
So, 1 walnut weights the same that 7 peanuts
Answer:
A 2
B 1
C 4
D 3
Step-by-step explanation:
( ) means not including (also used for infinity)
[ ] means including
The answer choices are in interval form, showing all the possible answer choices between two numbers and if the answer choice includes or excludes a number using the () []
Explanation for A:
x < 7.8 means x won't include 7.8 since the symbol is "less than" and not "less than or equal to".
x can be anything, it just has to be less than 7.8, so the answer is:
2 (-infinity, 7.8)
Explanation for B:
x <= 7.8 means x will include 7.8 since the symbol means "less than or equal to".
x can be anything, it just has to be less than or equal to 7.8, so the answer is:
1 (-infinity, 7.8]
Explanation for C:
x >= 7.8 means x will include 7.8 since the symbol means "greater than or equal to".
x can be anything, it just has to be greater than or equal to 7.8, so the answer is:
4 [7.8, infinity)
Explanation for D:
x > 7.8 means x won't include 7.8 since the symbol means "greater than" and not "greater than or equal to".
x can be anything, it just has to be greater than 7.8, so the answer is:
3 (7.8, infinity)
Hope it helps (●'◡'●)
Step-by-step explanation:
The positive factors of -3 are 3 and 1
There is also -3 and -1
