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Illusion [34]
3 years ago
12

Aarion is saving $375 to buy a new gaming system. He already has $105 and can earn $30 per week cutting grass, how long will it

take him to earn the rest of what he needs?
Mathematics
1 answer:
Andrej [43]3 years ago
7 0

Answer:

it will take him <u>9 weeks </u>to earn the rest of what he needs.

Step-by-step explanation:

if he already has $105, then he will need $270 more.

Divide 270 by 30(the amount of money he gets each week) and you will get <u>9</u>.

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olga_2 [115]
Dude I don’t feel like working
5 0
3 years ago
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Perform the following calculations: (-16) - (-42)
leva [86]

Answer:

26

Step-by-step explanation:

When we subtract a negative it is like adding

(-16) - (-42)

(-16) + (42)

Re arranging the order

42 -16

26

6 0
3 years ago
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Suppose y varies directly with x, and y = -4 when x = 25. What is x when y = 10? SHOW ALL YOUR WORK HERE OR YOU WON'T GET CREDIT
Stolb23 [73]

Answer:

x = -62.5

Step-by-step explanation:

y = kx

-4 = k(25)

k = -4/25

y = (-4/25)x

10 = (-4/25)x

x = 10 × 25/-4

x = -62.5

6 0
2 years ago
Is 4-heap Nim with heaps of sizes 22, 19, 14, and 11 balanced or unbalanced? Player I's first move is to remove 6 coins from the
nadya68 [22]

Answer:

Player II should remove 14 coins from the heap of size 22.

Step-by-step explanation:

To properly answer this this question, we need to understand the principle and what it is exactly is being asked.

This question revolves round a game of Nim

What is a game of Nim: This is a strategic mathematical game whereby,  two opposing sides or opponent take turns taking away objects from a load or piles. On each turn, a player remove at least an object and may remove any number of objects provided they all come from the same heap/pile.

Now, referring back to the question, we should first understand that:

                        22₂ = 1 0 1 1 0

                         19₂= 1 0 0 1 1

                         14₂= 0 1 1 1 0

                          11₂= 0 1 0 1 1

and also that the “bit sums” are all even, so this is a balanced game.

However, after Player I removes 6 coins from the heap of size 19, Player II should remove 14 coins from the heap of size 22.

3 0
3 years ago
-25/J = 5<br> 16 + s = -90<br> 13 + t = 51<br> r/10 = (-6)<br> a + -12 =45
alexandr1967 [171]

we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

<h3>How to solve these algebraic expressions?</h3>

Here we have some simple algebraic expressions:

The first one is:

-25/J = 5

We want to solve this for J.

Remember that we can perform the same operation in both sides of the equation, then we cans tart by multiplying both sides by J.

(-25/J)*J = 5*J

-25 = 5*J

Now we can divide both sides by 5, so we isolate J:

(-25)/5 = (5*J)/5

-5 = J

We conclude that the solution is J = -5.

Now, similarly for the other equations we have that:

16 + s = -90

Here we subtract 16 in both sides:

s = -90 - 16 = -106

13 + t = 51

Here we subtract 13 in both sides:

t = 51 - 13 = 38

r/10 = (-6)

Here we multiply both sides by 10:

r = (-6)*10 = -60

a + (-12) = 45

Here we add 12 in both sides:

a = 45 + 12 = 57

Then we conclude that the solution for the given algebraic expressions are:

  • J = -5
  • s = -106
  • t = 38
  • r = -60
  • a = 57

If you want to learn more about algebraic expressions:

brainly.com/question/4344214

#SPJ1

6 0
2 years ago
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