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
dimulka [17.4K]
2 years ago
12

How do I solve these?

Mathematics
1 answer:
makkiz [27]2 years ago
3 0

1) The number is 12.

2) There are 7 passengers in a row.

3) Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

<h3>How to resolve word problems involving linear equations</h3>

In this question we find word problems involving linear equations, in each case we need to understand the statement, derive mathematical equations and looking for corresponding solutions by algebraic means. Now we proceed to solve for each case:

Case 1

A variable is found herein and we need to resolve on this linear equation: (x - A number)

(x + 8) / 4 = 1 + (1 / 3) · x

(1 / 4) · x + 2 = 1 + (1 / 3) · x

1 = (1 / 12) · x

x = 12

The number is 12.

Case 2

A variable is found herein and we need to resolve on this linear equation: (x - Number of passengers per row)

30 · x + 12 = 222

30 · x = 210

x = 7

There are 7 passengers in a row.

Case 3

Three variables are found herein and we need to resolve on these linear equations: (x - Water consumed by Carol, y - Water consumed by Xavier, z - Water consumed by Keela)

z = 2 · x                        (1)

y = z + 100                   (2)

x + y + z = 3000           (3)

Finally, we find the solution of this system:

x + (z + 100) + z = 3000

x + 2 · z = 2900

x + 4 · x = 2900

5 · x = 2900

x = 580 mL

z = 1160 mL

y = 1260 mL

Carol, Xavier and Keela drank 580, 1160 and 1260 mL of water, respectively.

To learn more on systems of linear equations: brainly.com/question/21292369

#SPJ1

You might be interested in
What is the slope of (-5,-1) (5,5)? Explain.
ArbitrLikvidat [17]

Step-by-step explanation:

slope =   \frac{ - 1 - 5}{ - 5 - 5}  = \frac{ - 6}{ - 10}   = \frac{ 3}{ 5} \\

3 0
3 years ago
Read 2 more answers
Which relationship is always true for the angles x,y and z of triangle ABC
bixtya [17]

Answer:

B. y + z = x

Step-by-step explanation:

x is an exterior angle of the triangle.

y and z are the opposite angles opposite the exterior angle.

The exterior angle theorem of a triangle states that the measure of an exterior angle equals the measure of the sum of the two angles opposite the exterior angle.

Thus:

y + z = x

7 0
3 years ago
If r = 12 units and x = 13 units, then what is the volume of the cylinder shown above?
ira [324]
R is the root of 12 so you would divide r and 12 but are is the 18 number in the alphabet so it’s 18 divided by 12 and the answer is 1.5
5 0
3 years ago
Which expression is not a polynomial?<br> x³<br> x² - 2x<br> x³ +1<br> 12x
zaharov [31]

Answer:

12x

Step-by-step explanation:

It has no exponent so it is not a polynomial

3 0
2 years ago
Which fraction is equivalent to : 3/8 +1/8
Crank
1/2 because you can simplify 4/8 and do 4 divided by 4 and 8 divided by 4 which is 1/2
7 0
3 years ago
Read 2 more answers
Other questions:
  • A white tailed deer can sprint at speeds up to 30 miles per hour America bison can run at speeds up to 3,520 feet per minute whi
    7·1 answer
  • Identify the expression for calculating the mean of a binomial distribution.
    7·1 answer
  • The null and alternative hypotheses for a population proportion, as well as the sample results, are given. Use StatKey or other
    14·1 answer
  • What could be used to evaluate the expression -6(4(2/3)
    8·1 answer
  • An aquarium has a sea horse tank that holds 2,025 liters.there are 25 liters of water per sea horse to give them enough space.ho
    11·1 answer
  • Find the derivative of f(x) = -2x2 + 11x at x = 9.
    5·1 answer
  • Can y'all help me with this?
    11·1 answer
  • HELP plssssssssssssssssssssssssssssssssssssssssssssssss
    10·2 answers
  • Susan runs 22 km in 2 hours and 45 minutes. What is her average speed in km an hour? Explain your answer please!
    9·1 answer
  • Find the point of intersection of the lines:
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!