What is the slope of a line parallel to the line whose equation is 3x-3y=-453x−3y=−45.

What is my number my number is a perfect square the only prime number in it prime factorization is 2 my number is a factor of 32

WITCHER [35]

Nmkndj;n;bnjngfndjknh;rtnh 216g6n
543646245mh.nrkjhgjn.kjgnrjkbuhjtbyultkngu;njktnj totm,my fotrtunanhioubgrviuebglryrhntonm my forytunabjvfdjkfvghyulbfwqlcbherovbegiunj gtjgbasyhj.bsf.fjkbgilhbjbhfljbvhuj

4 0

3 years ago

Explain proportionality to me 7th grade math

kari74 [83]

If two quantities a and b are directly proportional to one another, then both a and b change in the same direction.

For example, if the amount/volume of coffee I have in a cup is directly proportional to the total volume of the cup, then the larger the cup gets, the more coffee I can fill it with. On the other hand, if the cup gets smaller, the amount of coffee it can hold also gets smaller.

Both a and b don't necessarily change at the same rate, though, which means one of these needs to get appropriately scaled by some factor k, so that

a = kb

Continuing the coffee example: Suppose I only fill my cup halfway. If the total volume of the cup is a, then the amount of coffee I pour in is b = 1/2 a. So the relationship of these two quantities is governed by the equation,

a = 2b

and in this case, k = 2.

If instead a and b are inversely proportional, this means as one quantity changes, the other changes in the opposite direction.

Suppose I have two cups that I use for coffee that can both hold the same amount k if they are filled completely, but one cup is taller than the other. In order for both cups to be able to hold the same volume of coffee, the taller cup must have a thinner profile.

The cups are cylindrical, so that their volumes are equal to the products of the area of their base a and their height b. If one cup is twice as tall as the other, then for the smaller cup we could have

ab = k

and for the taller one,

a (2b) = k

But in order to get the same volume, the quantity a for the shorter cup must be cut in half to preserve equality:

(1/2 a) (2b) = ab = k

So one quantity is doubled (increases), while the other gets halved (decreases).

5 0

3 years ago

. 7-9p≥7 or 2p - 9> 11

My name is Ann [436]

Answer:

2p-9>

Step-by-step explanation:

7 0

2 years ago

An envelope contains three cards: a black card that is black on both sides, a white card that is white on both sides, and a mixe

Over [174]

Answer:

There is a 2/3 probability that the other side is also black.

Step-by-step explanation:

Here let B1: Event of picking a card that has a black side

B2: Event of picking a card that has BOTH black side.

Now, by the CONDITIONAL PROBABILITY:

$P(B_2/B_1 ) = \frac{P(B_1\cap B_2)}{P(B_1)}$

Now, as EXACTLY ONE CARD has both sides BLACK in three cards.

⇒ P (B1 ∩ B2) = 1 /3

Also, Out if total 6 sides of cards, 3 are BLACK from one side.

⇒ P (B1 ) = 3 /6 = 1/2

Putting these values in the formula, we get:

$P(B_2/B_1 ) = \frac{P(B_1\cap B_2)}{P(B_1)} = \frac{1}{3} \times\frac{2}{1} = \frac{2}{3}$

⇒ P (B2 / B1) = 2/3

Hence, there is a 2/3 probability that the other side is also black.

5 0

3 years ago

2.1.43 A particular hybrid car travels approximately 235 mi on 5 gal of gas. Find the amount of gas required for a 705-mi trip.

o-na [289]

Answer: 15 gallons of gas is required for a 705 miles trip.

Step-by-step explanation:

Since we have given that

Number of miles in a trip = 235 miles

Number of gallon of gas is needed = 5

We need to find the amount of gas required for 750 miles trip.

Since there is direct variation, as for increase in number of miles, amount of gas must be increased.

According to question, it becomes,

$\dfrac{235}{5}=\dfrac{705}x}\\\\47=\dfrac{705}{x}\\\\47x=705\\\\x=\dfrac{705}{47}\\\\x=15\ gallons$

Hence, 15 gallons of gas is required for a 705 miles trip.

7 0

3 years ago