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
kherson [118]
3 years ago
10

If 11250 = m(600) + b and 7650 = m(400) + b, how do I find the values of b and m? I forgot how to compare when I have two differ

ent values. If someone can find me a lesson online or show work, that would be the best. I do not simply need answers, thank you.
Mathematics
1 answer:
Lelu [443]3 years ago
6 0

Answer:

b=450 and m=18

Step-by-step explanation:

This exercise is an example of <em>linear system equations</em>. A <em>system of linear equations</em> is a set of (linear) equations that have more than one unknown. The unknowns appear in several of the equations, but not necessarily in all of them. What these equations do is relate the unknowns to each other.

The easy way to solve this problem is by using the<em> reduction method</em>.The <em>reduction method</em> consists of operating between the equations, such as adding or subtracting both equations, so that one of the unknowns disappears. Thus, we obtain an equation with a single unknown.

Ordering the equations as a system equations.

\left \{ {{600m+b=11250} \atop {400m+b=7650}} \right.

Using the reduction method, let's substract the second equation with the first equation, in order to clear m.

600m + b = 11250

<u>-400m -  b = -7650</u>

200m       = 3600    -------->  m = 3600/200 -----> m = 18

We can substitute the value of m in any of the two equations to obtain the unknow b.

Let's substitute the value of m in the second equation.

400(18) + b = 7650

7200 + b = 7650 -----> b = 7650 - 7200 -------> b = 450

We can check this values in both equations.

600m + b = 11250 -----> 600(18) + 450 = 11250

400m + b = 7650 ----->  400(18) + 450 = 7650

Satisfying the result of both equations.

You might be interested in
State the domain and range for the graph of the following function:
iVinArrow [24]

Answer

so whats the question?

Step-by-step explanation:

8 0
3 years ago
a garden table and bench cost $738 combined the garden table costs $88 more than the bench what is the cost of the bench
Viefleur [7K]
Hello 

the answer to this is 

650

becomes we subtract 
88 from 738

738-88 and we get 650

so we get 

650
hope this helps 
4 0
3 years ago
Read 2 more answers
A tortoise moves at a speed of 34 inches in 11 seconds. What is its average speed in feet per hour?
Elan Coil [88]

Answer:

927.3 feet per hour

Step-by-step explanation:

first determine how many seconds are in one hour

there are 60 seconds in one minute and 60 minutes in one hour

so there are 60x60, or 3600 seconds in one hour

now you can create a proportion of inches/seconds = inches/seconds

let 'x' = inches per hour

34/11 = x/3600

cross-multiply to get:

11x = 3600x34

11x = 122,400

x = 122,400/11

x = 11,127.3 inches per hour

to determine how many feet per hour you must divide 11,127.3 inches by 12

this equals 927.3 feet per hour

3 0
2 years ago
Find the measure of DB (a curvy line is on top of DB btw)
klasskru [66]

Answer:

Arc DB = 146

x = 5

Step-by-step explanation:

Remark

The relationship between the large arc, the small arc and the intersecting angle is

1/2 (large arc - small arc) = intersecting angle.

Givens

Large arc = 25x + 21

Small arc = 96

5x

Solution

1/2*(25x + 21 - 96) = 5x*2            Multiply both sides by 2

25x + 21 - 96 = 10 x                     Combine      

25x - 75 = 10x                             Subtract 25x from both sides

-75 = 10x - 25x

-15x = -75

x = 5

DB = 25x + 21

DB = 25*5 + 21

DB = 125 + 21

DB = 146

Tell me if this is not in the choices.

5 0
2 years ago
What is the volume of a hemisphere with a diameter of 47.7in, rounded to the nearest tenth of a cubic inch
Reptile [31]

Answer:

28413.4 in (radius} = diameter divided by 2 = 47.7 divided by 2 =23.85

radius=  2

diameter

​ =  2

47.7

=23.85

5 0
2 years ago
Other questions:
  • For f (c)=2x+1 and g(x)=x^2 - 7 find (f-g)(x)
    9·1 answer
  • Can someone help with the first question on he sheet thanks
    11·1 answer
  • Solve for c, 3ab-2bc=12
    9·1 answer
  • Nathan is making a beaded bracelet. For every 5 red beads, there are 3 white beads.what is the ratio of red to white beads
    15·1 answer
  • Bill is in class of 15 boys and 35 girls. 40% of the students in class take the bus to school.How many students do not take the
    5·1 answer
  • What is the slope of the line represented by the equation 2x+3y= –12 ? a. –3/2 b.-2/3 c.2/3 d. 3/2
    14·1 answer
  • Rewrite the expression from part B using the additive inverse that you identified in part C.
    10·1 answer
  • Help ASAP !!!!!!
    12·1 answer
  • Express as integer: a deposit of $100
    15·1 answer
  • Can someone please help me find the equation of the parallel line I will mark u the brainiest
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!