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kompoz [17]
3 years ago
8

2x - y = 2s 2x - 2y = 4s The lines whose equations are shown intersect at which point?

Mathematics
1 answer:
pentagon [3]3 years ago
3 0
The lines whose equations are shown intersects the point (0, -2s)
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There are many numbers that divide 109 with a remainder of 4. List all two-digit numbers that have that property.
Paladinen [302]

Answer:

3 Numbers: 15, 21, 35

Step-by-step explanation:

We want number that divide 109 with a remainder of 4.

Thus, it can divide of 109 - 4 = 105

Factors of 105 = 3, 5, 7

Thus for getting two digit number it must be Multiple of any two factors of 105.

i.e. 15, 21 and 35

Hence there are only 3 numbers that divide 109 with a remainder of 4.

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Answer:

B. -3,4

Step-by-step explanation:

6 0
3 years ago
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5x+y=-10 4x-7y=-8 Substition Method (Show it step by step please!)
Fynjy0 [20]

\left\{\begin{array}{ccc}5x+y=-10&|\text{subtract 5x from both sides}\\4x-7y=-8\end{array}\right\\\left\{\begin{array}{ccc}y=-5x-10&|\text{substitute to the second equation}\\4x-7y=-8\end{array}\right\\\\4x-7(-5x-10)=-8\qquad\text{use distributive property}\\\\4x+(-7)(-5x)+(-7)(-10)=-8\\\\4x+35x+70=-8\qquad\text{subtract 70 from both sides}\\\\39x=-78\qquad\text{divide both sides by 39}\\\\\boxed{x=-2}\\\\\text{Put the value of x to the first equation}\\\\y=-5(-2)-10\\\\y=10-10\\\\\boxed{y=0}

Answer:\ \boxed{x=-2\ and\ y=0}

3 0
3 years ago
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Megan picks a card from a deck of cards numbered 1-10 and rolls a number cube. What is the probability she chooses a card with a
ehidna [41]

Answer:

1/20 if there is only those 10 cards in a deck and 1/26 if there is 52 cards in the deck.

Step-by-step explanation:

There is 3/6 chances to roll a die with an even number, aka 1/2. If there are only 10 cards in the deck and only one of them has the number 5, it's 1/10. To find the probability of both these things happening, multiply the probabilities. 1/10 x 1/2 is equal to 1/20. However, since the question doesn't specify if there is 52 cards like a normal deck and 4 5's etc, there can be a different answer because if there's 52 cards in a deck, 4 of them 5's, the chance of getting a 5 is 4/52 or 1/13 and then you multiply that by 1/2 to get 1/26

4 0
3 years ago
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Explain how to determine if you have a direct variation or proportional relationship
neonofarm [45]

Answer:

straight line that passes through the origin

Step-by-step explanation:

Two variables are said to have a direct variation or proportional relationship if it can be represented by y = kx, where k is a constant.

Comparing this with the equation of a straight line y = mx + b, where m is the slope of the line and b is the y intercept (value of y when x = 0), We can tell if the say that the graph of a direct variation or proportional relationship is a straight line with no y intercept (b = 0, that is it passes through the origin).

8 0
3 years ago
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