Find the point where two lines intersct

Answers

Answer 1
Answer: y=2x+3
y=-x
the interssection is the set of points that make both systems true

set them eual to each other since they both equal y
2x+3=y=-x
2x+3=-x
add x to both sides
3x+3=0
subtract 3
3x=-3
divid 3
x=-1

subsitue
y=-x
y=-(-1)
y=1


(x,y)
the intersection is (-1,1)
Answer 2
Answer: y=2x+3
y=-x
To find the point, first set them equal to each other:
2x+3=-x
Then, solve for x:
3x=-3
x = -1
y = -x --> y = -(-1) = 1
So the point is (-1,1)

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The diagram below shows the contents of a jar from which you select marbles at random.a. What is the probability of selecting a red marble, replacing it, and then selecting a blue marble? Show your work.
b. What is the probability of selecting a red marble, setting it aside, and then selecting a blue marble? Show your work.
c. Are the answers to parts (a) and (b) the same? Why or why not?

Answers

So,

There are 4 red marbles.
There are 7 blue marbles.
There are 5 green marbles.
There are 16 marbles in total.

a.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
(4)/(16) \ or\  (1)/(4)

Next, the probability of selecting a blue marble.
(7)/(16)

Multiply the probabilities together.
(1)/(4) *  (7)/(16) =  (7)/(64)
That is the probability for event a.


b.
Answer = (probability of selecting a red marble)(probability of selecting a blue marble)
First, the probability of selecting a red marble.
(4)/(16) \ or\ (1)/(4)

Next, the probability of selecting a blue marble WITH A RED MARBLE REMOVED.
(7)/(15)

Multiply the probabilities together.
(1)/(4) *  (7)/(15) =  (7)/(60)
That is the probability for event b.

c.
Obviously:
(7)/(64)  \neq  (7)/(60)
So the answer is no.

What is a divisible?

Answers

A number that can be divided by another number equally/without a remainder. 

30 is divisible by 5.
A number that has the capability to be divided by another number without  a remainder

Julie is going to the store to buy candles. Small candles cost $2.50 and large candles cost $4.00. She needs to buy a mix of at least 25 candles, and she can spend no more than $85. How many of each type of candle can she buy? Use a sentence to describe how many candles you buy.

Answers

20 large candles because $4*20 candles=$80
2 small candles because $2.50*2=$5
$80+$5=$85

A x b = 15b x c = 30
c x a = 18
what does a, b and c equal?
provide working for answers/explain your answer briefly

Answers

Answer:

a=3

b=5

c=6

Step-by-step explanation:

Well,~you~see~it's~all~in~the~mental~workings~and~also~if~you~know~your~\nmultiplication~tables!

we~have:

a* b =15~

Now,~where~does~15~fall~in~our~multiplication~table?~5~and~3!~so~that~\nmeans,~a~is~3~and~b~is~5.

Now,~we~have:

b* c=30

We~already~know~what~the~value~of~b~is~so~in~the~5's~table,~what~number~gives~us\n~30?~6!~so,~we~know~that~c~is~6.

We~also~have:

c* a =18

We~already~know~what~c's~value~and~a's~value~is.~c~is~6~and~a~is~3~so~\nif~we~multiply~them~we~get,~18!

Hope~my~answer~helps!~Have~an~amazing~day~ahead!

-Isabelle~Williams

Omg i'm confuse 

7(x+4) =9(x -2)

Answers

7(x+4) =9(x -2) \n 7x+28=9x-18\n 2x=46\n x=23
7(x+4) = 9(x-2)
7x+28 = 9x-18
28+18 = 9x-7x
46 = 2x
46/2 = x
23 = x

12.48 milliliters of medicine were separated into doses of 4 mL each. how many doses were made?

Answers

The number of doses are \boxed{\bf3}, if each dose quantity is 4 mL and total medicine is 12.48 mL.

Further explanation:

The total quantity of the medicine in millilitres is 12.48.

The quantity of one dose in millilitres is 4.

To find the number of doses possible from 12.48 millilitres quantity of medicine with each doses has 4 millilitres quantity is calculated by the use of division.

Here, dividend is the quantity of all medicine and divisor is the quantity of each doses.

Substitute, number 12.48 for dividend and number 4 for divisor then obtain the quotient by the use of division as shown below.

\begin{aligned}4\mathop{\left){\vphantom{1{12.48}}}\right.\!\!\!\!\overline{\,\,\,\vphantom 1{{12.48}}}}\limits^{\displaystyle\hfill\,\,\, {3.12}} \hfill\n\,\,\,\,\,\,\underline{12 \downarrow }\hfill\n\,\,\,\,\,\,\,\,\,04\hfill\n\,\,\,\,\,\,\,\,\,\,\,\,\underline{4\downarrow } \hfill\n\,\,\,\,\,\,\,\,\,\,\,\,08\hfill\n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,\underline8\hfill\n\,\,\,\,\,\,\,\,\,\,\,\,\,\,\,0\hfill\n\end{aligned}

The quotient of the above division is 3.12.

The number of doses is always being in natural number.

It is observed that nearest natural number for 3.12 is 3.

Thus, the number of doses are \boxed{\bf3}, if each dose quantity is 4 mL and total medicine is 12.48 ml.

Learn more:

1. Write an algebraic expression for the following word phrase the quotient of r and 12 brainly.com/question/1600376

2. What is 20÷2(5+5) brainly.com/question/365957

3. Ten hundredths in standard form brainly.com/question/228852

Answer details:

Grade: Junior School

Subject: Mathematics

Chapter: Division

Keywords:

12.48, millilitres, medicine, dose, 4 ml, each, made, Division, natural, quantity, division, kilogram, quotient, divisor, ml, subtract, equally

You just simply need to divide 12.48 by 4.

The answer is 3.12 doses.