Answer:
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Step-by-step explanation:
Ivan = 4x
Tanya = 1x
Total = 150
4x + x = 150
5x = 150 ; x = 150 / 5 = 30
Ivan = 4x = 120
Tanya = 1x = 30
Money Ivan gets extra = 120 - 30 (or 3x) = 90
Hello there! ^-^
To solve, do the following.
2n + 6 = 8n and 6n - 2 = 4n
I think you can take it from here ;)
If not just simply message me
Answer:
(4, -8)
Step-by-step explanation:
The components of a vector are found by subtracting the tail from the head.
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Head - Tail = (1, -6) -(-3, 2) = (1 -(-3), -6 -2) = (4, -8)
⇒ The component form is (4, -8), or maybe 4<em>i</em> -8<em>j</em>.
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<em>Additional comment</em>
There are many ways that the components of vectors can be described. The particular format you are expected to use will likely be found in your curriculum materials.
First exercise:
a. The first prime numbers are 2,3,5,7,11,... So, the greatest prime interger between 4 and 9 is 7. A = 7.
b. Since the number line's growing direction is rightwards, going to the left means to decrease. So, point E is 4 less than point A, i.e. 7-4 = 3. E = 3.
c. The additive inverse of a number
is another number
such that
. So, we're looking form a number such that
, and thus O = - 3.
d. This point looks a bit ambiguous to me honestly. We know that IO = 2, which I presume means that the points I and O are two units apart, but we're not told if I is two units left or right with respect to O. To solve this issue, I'm assuming that IO implies that I sits before O, and so I is two units left with respect to O. As we said in point a., two units left means two less, so we have I = -3-2 = -5. At this point, point L is halfway between -5 and -3, and thus L = - 4.
e. The sum of the coordinates of A and E is 7 + 3 = 10. Half that sum is 5, so M = 5.
In the attached image, you can see the number line filled with the points asked by the exercise.
Second exercise:
All the requests can be written as an equation in which we look for the values of x. Below you find the equation and the solutions.





A little side note: I've honestly never met the expression "subtract A to B", but always "subtract A from B". I assumed they mean the same thing, but if anybody thinks I'm wrong please let me know! (I'm not a native speaker, so I can only refer to the math I met during my studies).
