Question 3

Write the equation of the line that passes through the point (-6, 1) and has a slope of 1/2

Likurg_2 [28]

Answer:

y = x + 2

2

i think this is helpful

Step-by-step explanation:

equation= y - 1 = 1

x - -6 2

then you close multiplication

= 2(y -1)= 1(x - -6)

2y - 2 = x - -6

you make Y as a subject

2y = x- -6 + 2

2y = x + 4

then you divide by 2 on both sides

2y = x + 4

2 2 2

y = x + 2

2

8 0

4 years ago

Five friends went to a local restaurant and all had the buffet at $6.75 each. Two friends added ice cream for dessert for $1.99

Lunna [17]

<h2>Greetings</h2>

Answer:

Yes,

Step-by-step explanation:

It does seem reasonable because you only have 5 different additions, all of which are less than about 3/4 through $10 and two additions that are quite small. The price given is reasonable because it is in the expected range of the purchase.

Plus, the actual total is indeed $7.73

<h2>Hope this helps!</h2>

8 0

3 years ago

Read 2 more answers

Pure acid is to be added to a 10% acid solution to obtain 117 L of a 20% acid solution. What amounts of each should be used?

creativ13 [48]

Answer:

A typical mixture equation

:

x + .10(54-x) = .20(54)

x + 5.4 - .10x = 10.8

x - .1x = 10.8 - 5.4

.9x = 5.4

x = 5.4%2F.9

x = 6 L of pure acid to be combined with: 54-6 = 48 L of 10% solution

Step-by-step explanation:

does this help?

8 0

3 years ago

Micah painted 96 square feet in the same amount of time that Noah painted 13, 750 square inches. How many more square inches did

rusak2 [61]

Answer: Micah painted 74 more square inches

Step-by-step explanation:

First, you need to find out how many square inches are in 96 square feet.

1 square foot=144 square inches, meaning Micah Painted 13824 square inches. If Noah painted 13,750 square inches, then Micah painted 74 more square inches than Noah.

8 0

3 years ago

Please helpppp it has to do with P(A U B)

Katyanochek1 [597]

$P(A)=0.5$ , $P(B)=0.6$ , $P(A\cup B)=0.8$

We find the probability of intersection using the inclusion/exclusion principle:

$P(A\cap B)=P(A)+P(B)-P(A\cup B)=0.3$

By definition of conditional probability,

$P(A\mid B)=\dfrac{P(A\cap B)}{P(B)}=\dfrac{0.3}{0.6}=0.5$

For $A$ and $B$ to be independent, we must have

$P(A\cap B)=P(A)\cdot P(B)$

in which case we have $0.3=0.5\cdot0.6$ , which is true, so $A$ and $B$ are indeed independent.

Or, to establish independence another way, in terms of conditional probability, we must have

$P(A\mid B)\cdot P(B)=P(A)\cdot P(B)\implies P(A\mid B)=P(A)$

which is also true.

7 0

3 years ago