1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
worty [1.4K]
2 years ago
6

X+y=73x+y=15solve by substitution method​

Mathematics
1 answer:
Bess [88]2 years ago
7 0

Step-by-step explanation:

x =7-y

subs x in eqn 2

3(7-y)+y=15

21-3y+y=15

21-2y=15

21-15=2y

6=2y

y=6/2

y=3

You might be interested in
Mia works at a job earning $4.75 per hour. How many hours should she work to earn $124.00?
labwork [276]

Mia would have to work 26.1 hours (approx. 26) to earn $124.00

4.75x=124

divide 4.75 by 4.75 and divide 124 by 4.75

x=26.1

8 0
3 years ago
Read 2 more answers
F(6,2) G(2,4)<br> Write equation in slope intercept form
Ulleksa [173]

Answer:

y = -½x + 5

Step-by-step explanation:

Formula for slope intercept form is y = mx + b

Where m represents the slope and b represents the y intercept

.............................

Solving for m

...........................

m = (y2 - y1)/(x2-x1)

y2 = 4, y1 = 2

x2 = 2, x1 = 6

m = (4-2)/2-6)

m = 2/(-4)

m = -½

.......................

Solving for b

.........................

Using point F(6,2) as reference

y = 2, x = 6, m = -½

if y = mx + b

Substituting 2 for y and 6 for x in the above equation

2 = -½ * 6 + b

2 = -3 + b

2 + 3 = b

5 = b

b = 5

OR

Using Point G(2,4) as reference

y = 4, x = 2, m = -½

if y = mx + b

Substituting 4 for y and 2 for x in the above equation

4 = -½*2 + b

4 = - 1 + b

4+1 = b

5 = b

b = 5

.............................................

Finally, we have to write the equation in slope form

Using y = mx + b

where m = -½ and b =5 ................ (Calculated)

y = -½x + 5

8 0
3 years ago
Use the fact that the mean of a geometric distribution is μ= 1 p and the variance is σ2= q p2. A daily number lottery chooses th
butalik [34]

Answer:

a). The mean = 1000

     The variance = 999,000

     The standard deviation = 999.4999

b). 1000 times , loss

Step-by-step explanation:

The mean of geometric distribution is given as , $\mu = \frac{1}{p}$

And the variance is given by, $\sigma ^2=\frac{q}{p^2}$

Given : $p=\frac{1}{1000}$

             = 0.001

The formulae of mean and variance are :

$\mu = \frac{1}{p}$

$\sigma ^2=\frac{q}{p^2}$

$\sigma ^2=\frac{1-p}{p^2}$

a). Mean =   $\mu = \frac{1}{p}$

              = $\mu = \frac{1}{0.001}$

              = 1000

  Variance =   $\sigma ^2=\frac{1-p}{p^2}$

                  = $\sigma ^2=\frac{1-0.001}{0.001^2}$

                           = 999,000

   The standard deviation is determined by the root of the variance.

    $\sigma = \sqrt{\sigma^2}$

        = $\sqrt{999,000}$ = 999.4999

b). We expect to have play lottery 1000  times to win, because the mean in part (a) is 1000.

When we win the profit is 500 - 1 = 499

When we lose, the profit is -1

Expected value of the mean μ is the summation of a product of each of the possibility x with the probability P(x).

$\mu=\Sigma\ x\ P(x)= 499 \times 0.001+(-1) \times (1-0.001)$

  = $ 0.50

Since the answer is negative, we are expected to make a loss.

4 0
2 years ago
a contractor is on top of 167 ft Tower looking down at a 37 degree angle of depression at a package attached to a rope on the gr
ArbitrLikvidat [17]

Using trigonometry ratio

\sin 37^0=\frac{167}{x}\begin{gathered} 0.6018\text{ = }\frac{167}{x} \\ 0.6018x\text{ = 167} \\ x\text{ = }\frac{167}{0.6018}\text{ = 277.5ft} \end{gathered}

x = 277.5 ft

3 0
1 year ago
What is Simplest form
Sidana [21]

Answer:

A fraction is in simplest form if the top and bottom have no common factors other than 1. In other words, you cannot divide the top and bottom any further and have them still be whole numbers. 

4 0
2 years ago
Read 2 more answers
Other questions:
  • How much is 2+(95X5)
    14·2 answers
  • URGENT PLEASE HELP<br> x/240 = 82/100 what is X?
    7·2 answers
  • Pls answer! I don’t know math @ all
    15·1 answer
  • Find the standard form of the equation of the parabola with a vertex at the origin and a focus at (0, 9).
    13·1 answer
  • If 6-x=2(x-6) what is the value of x? need steps!!
    10·2 answers
  • Round number to the nearest hundred 293
    12·2 answers
  • Simplify square root of 5 open parentheses 8 plus 3 square root of 6 close parentheses.
    9·2 answers
  • Miguel rented a truck for one day. There was a base fee of $20.95, and there was an additional charge of 83 cents for each mile
    10·1 answer
  • Someone please help me answer this!!
    13·2 answers
  • Does anybody know? Find the value of x in the regular polygon
    10·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!