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
Volgvan
1 year ago
9

Solve the problem algebraically. Clearly define all variables, write an appropriate equation, and solve.

Mathematics
1 answer:
hichkok12 [17]1 year ago
3 0

Answer:

Y=8 and X=21

Step-by-step explanation:

The key to solving word (story) problems is to learn how to translate words and phrases into concise, precise math expressions (variables and operations).  Make a table and add to it as you do problems:

      is              means           =

    more than                        +

      twice                              2*x

      sum                               +

      of                            usually means multiply

     ...

Assign variables.  Try to assign variables to the values the problem asks you to find.

In this problem, there are two variables.   Let x = one number;   y = other numbers

Translate:

 "One number is 5 more than twice the other number"    means

            x          =    5    +        2     *      y

 "sum of the two numbers is 29"     means

      x   +   y                    = 29

Now, the easy math.

Use the value for x from the first equation and substitute that into the second equation:

    (5 + 2y)      +     y       =  29

     5 + 3y = 29                    (collect terms)

           3y = 24                (subtract 5 from both sides)

             y = 8

Now, put that value of y into either equation to solve for x  (Which equation is easier??)

     x + 8 = 29

       x  = 21                 (subtract 8 from both sides)

Checking (very important):

 Is 21 really 5 more than 2(8)?

      21 = 5+16     ?

      21  =  21? yes

 Is  21 + 8 = 29  ?

        29 = 29? yes

p.s., learn the process, don't just get the right answer;  there will be lots of problems that are solved the same way!

You might be interested in
What is the distance between the points H(-5,9) and J(1,6)?
Ahat [919]

Answer:The answer would be b

Step-by-step explanation:

8 0
3 years ago
The systolic blood pressures of women aged 18 to 24 are normally distributed with a mean of 115.3 and a standard deviation of 13
Ghella [55]

Answer:

fac.k nou ok your mather xd

Step-by-step explanation:

6 0
3 years ago
Find the missing length indicated​
Anna71 [15]

Answer:

Step-by-step explanation:

192

6 0
3 years ago
Read 2 more answers
1. (-2)^-5<br> A. 10<br> B. -1/32<br> C. -32<br> D. 1/32
Alinara [238K]

Answer:

(-2)^-5

= 1/(-2)^5

=1/-32

=B. -1/32

5 0
3 years ago
Harrison Water Sports has two retail outlets: Seattle and Portland. The Seattle store does 60 percent of the total sales in a ye
Anna11 [10]

Answer: P = 0.75

Step-by-step explanation:

Hi!

The sample space of this problems is the set of all the possible sales. It is divided in the disjoint sets:

S_s = {\text{sales made in Seattle }}\\S_p={\text {sales made in Portland}}

We have also the set of sales of boat accesories S_b, the colored one in the image.

We are given the data:

P(S_s) = 0.6\\P(S_b | S_s) = \frac{P(S_b\bigcap S_s)}{P(S_s)}=0.4\\P(S_b|S_p) =\frac{P(S_b\bigcap S_p)}{P(S_p)}=0.2

From these relations you can compute the probabilities of the intersections colored in the image:

pink\;set:\;P(S_b \bigcap S_s) =0.6*0.4=0.24\\blue\;set\;:P(S_b \bigcap S_p)=(1-0.6)*0.2 =0.08

You are asked about the conditional probability:

P(S_s|S_b) = \frac{P(S_s \bigcap S_b)}{P(S_b)}

To calculate this, you need  P(S_b) . In the image you can see that the set S_b is the union of the two disjoint pink and blue sets. Then:

P(S_b)=P((S_b \bigcap S_s)\bigcup(S_b \bigcap S_p)) = 0.24 + 0.08 = 0.32

Finally:

P(S_s|S_b) = \frac{0.24}{0.32}=0.75

4 0
3 years ago
Other questions:
  • Jenny thinks that the expression below is equal to x²-4. If you agree, show that she is correct. If you disagree, show that she
    10·1 answer
  • Write a rule for the linear function (-4)(16),(0)(0),(4)(-16),(8)(-32)
    13·2 answers
  • Please hellppppppppp
    13·2 answers
  • Select all intervals in which the function P(t) is decreasing
    14·1 answer
  • Can some one help me with this question its hard :( down below ill give brainliest
    7·1 answer
  • Which of these coordinates would represent the intercepts of the graph of the function f(x)=3x-9
    8·2 answers
  • What is the area of a square with h=3in l=5in w=6in
    5·1 answer
  • PLEASE HELP A BROTHER OUT
    15·1 answer
  • A rectangular computer monitor is measured by the length and width of its display resolution. Three different monitors are descr
    13·1 answer
  • A fair 6-sided die is rolled five times. What is the probability that the sequence of rolls is 3,4,1,2,6
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!