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
blondinia [14]
3 years ago
10

a 100 point test contains a total of 20 questions. the multiple choice questions are worth 3 points each and the short response

questions are with 8 points each. write a system of linear equations that represents this situation.
Mathematics
1 answer:
Sergio [31]3 years ago
3 0
Let m = number of multiple choice questions
 Let s = the number of short response questions  
The system of linear equations for this situation is:
 m + s = 20
 3m + 8s = 100
You might be interested in
What is the solution to the following equation?<br> -50 = -5x - 3(5x + 15)
Oksanka [162]
The answer is x= 1/4
4 0
3 years ago
Read 2 more answers
use the elimination method to solve the system of equations. choose the correct ordered pair x+y=3 y=8
klasskru [66]

Answer:

(-5, 8)

Step-by-step explanation:

Step 1: Multiply 2nd equation by -1

x + y = 3

-y = -8

Step 2: Elimination

x = -5

Step 3: Find <em>y</em>

y = 8

7 0
3 years ago
34. For the following exercises, given each set of information, find a linear equation satisfying the conditions, if possible.
skad [1K]

Answer:

The linear equation for the line which passes through the points given as (-1,4) and (5,2), is written in the point-slope form as $y=\frac{1}{3} x-\frac{13}{3}$.

Step-by-step explanation:

A condition is given that a line passes through the points whose coordinates are (-1,4) and (5,2).

It is asked to find the linear equation which satisfies the given condition.

Step 1 of 3

Determine the slope of the line.

The points through which the line passes are given as (-1,4) and (5,2). Next, the formula for the slope is given as,

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Substitute 2&4 for $y_{2}$ and $y_{1}$ respectively, and $5 \&-1$ for $x_{2}$ and $x_{1}$ respectively in the above formula. Then simplify to get the slope as follows,

m=\frac{2-4}{5-(-1)}$\\ $m=\frac{-2}{6}$\\ $m=-\frac{1}{3}$

Step 2 of 3

Write the linear equation in point-slope form.

A linear equation in point slope form is given as,

$y-y_{1}=m\left(x-x_{1}\right)$

Substitute $-\frac{1}{3}$ for m,-1 for $x_{1}$, and 4 for $y_{1}$ in the above equation and simplify using the distributive property as follows,

y-4=-\frac{1}{3}(x-(-1))$\\ $y-4=-\frac{1}{3}(x+1)$\\ $y-4=-\frac{1}{3} x-\frac{1}{3}$

Step 3 of 3

Simplify the equation further.

Add 4 on each side of the equation $y-4=\frac{1}{3} x-\frac{1}{3}$, and simplify as follows,

y-4+4=\frac{1}{3} x-\frac{1}{3}+4$\\ $y=\frac{1}{3} x-\frac{1+12}{3}$\\ $y=\frac{1}{3} x-\frac{13}{3}$

This is the required linear equation.

5 0
2 years ago
Two cities are 45 miles apart. Two trains, with speeds of 70 mph and 60 mph, leave the two cities at the same time so that one i
Sergio039 [100]
8.57 for the first one and, I’m not sure a bout the second time though
7 0
3 years ago
it costs 9.50 to enter wild life safari, 5$ for a bag of food, 3$ for a pop, 4$ for a sandwich, and 26$ for a photo. if a family
vagabundo [1.1K]

Answer:

$210

Step-by-step explanation:

9.50*4=    38

5*2=10*4=40

3*4=          12

4*4=          16

26*4=    +104

             ---------

               210

8 0
3 years ago
Read 2 more answers
Other questions:
  • What is the 4th term in the sequence b(n)=1(-2)^n-1
    5·1 answer
  • HELPPPPP MEEEEEE PLZZ
    5·2 answers
  • There are 8 pencils in a package. How many packages will be needed for 28 children if each child gets 4
    13·1 answer
  • Please answer please please
    8·1 answer
  • -3 1/2 divided by 2 1/3=
    14·1 answer
  • Bonita has a standard of 2 hours of labor per unit, at $12 per hour. In producing 2600 units, Bonita used 5050 hours of labor at
    7·1 answer
  • What is the distance between (8, -3)(4,−7)
    6·1 answer
  • The angle of elevation from a point 64m from the base of a building to the top of the building
    8·1 answer
  • 1.5 x 10 to the power of 11
    13·2 answers
  • Write 104/-120 as a rational number in its standard form​
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!