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
Bingel [31]
3 years ago
5

A college student completed some courses worth 3 credits and some courses worth 4 credits. The studentearned a total of 59 credi

ts after completing 18 courses.How many courses worth 3 credits did the student complete?
Mathematics
1 answer:
Korolek [52]3 years ago
5 0

Answer:

<em>The student completed 13 courses worth 3 credits</em>

Step-by-step explanation:

<u>System of Equations</u>

Let's assign the following variables:

x = number of courses worth 3 credits

y = number of courses worth 4 credits

Some student completed 18 courses thus:

x + y = 18      [1]

The student earned a total of 59 credits:

3x + 4y = 59       [2]

From [1]:

y = 18 - x

Substituting in [2]:

3x + 4(18 - x) = 59

Operating:

3x + 72 - 4x = 59

Simplifying:

-x = 59 - 72 = -13

x = 13

The student completed 13 courses worth 3 credits

You might be interested in
Find the midpoint of the segment with the following endpoints.<br> (8,4) and (2,7)
Fudgin [204]

Answer:

Step-by-step explanation:

Use the midpoint formula: \frac{ChangeInX}{2} ,\frac{ChangeInY}{2}

So, the Change In X is 2-8 = -6

And the Change in Y is 7-4 = 3

Once you divide both of the changes by 2, you get

X: -3

Y:  \frac{3}{2}

So the midpoint is: (-3,\frac{3}{2})

4 0
3 years ago
I am terrible at fractions will anyone help me out please and thank you?
IgorLugansk [536]

Answer:

2

3

4

Step-by-step explanation:

Gochu

7 0
3 years ago
What is the volume of the cube? Cube with length, width, and height labeled as 9 inches. 162 cubic inches 81 cubic inches 729 cu
jenyasd209 [6]

Answer:

729

Step-by-step explanation:

volume = length x width x height.

6 0
4 years ago
Read 2 more answers
35 of 39
natali 33 [55]

Step-by-step explanation:

5x 3 1/2 = 3 x 5 1/2 is false

3 0
3 years ago
Just number 3 is fine please but if you could also 4​
PIT_PIT [208]

Answer:

3. r = -8

4. x = -5

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

Equality Properties

Step-by-step explanation:

<u>Step 1: Define equation</u>

2(-5r + 2) = 84

<u>Step 2: Solve for </u><em><u>r</u></em>

  1. Divide 2 on both sides:                    -5r + 2 = 42
  2. Subtract 2 on both sides:                 -5r = 40
  3. Divide -5 on both sides:                    r = -8

<u>Step 3: Check</u>

<em>Plug in r into the original equation to verify it's a solution.</em>

  1. Substitute in <em>r</em>:                   2(-5(-8) + 2) = 84
  2. Multiply:                             2(40 + 2) = 84
  3. Add:                                   2(42) = 84
  4. Multiply:                             84 = 84

Here we see that 84 does indeed equal 84.

∴ r = -8 is a solution of the equation.

<u>Step 4: Define equation</u>

264 = -8(-8 + 5x)

<u>Step 5: Solve for </u><em><u>x</u></em>

  1. Divide both sides by -8:                    -33 = -8 + 5x
  2. Add 8 to both sides:                          -25 = 5x
  3. Divide 5 on both sides:                      -5 = x
  4. Rewrite:                                               x = -5

<u>Step 6: Check</u>

<em>Plug in x into the original equation to verify it's a solution.</em>

  1. Substitute in<em> x</em>:                    264 = -8(-8 + 5(-5))
  2. Multiply:                               264 = -8(-8 - 25)
  3. Subtract:                              264 = -8(-33)
  4. Multiply:                               264 = 264

Here we see that 264 does indeed equal 264.

∴ x = -5 is a solution of the equation.

8 0
3 years ago
Other questions:
  • Round 63849 to the nearest ten,nearest hundred nearest thousand and the nearest ten thousand
    13·1 answer
  • A snow storm left 1.25 feet of snow on the ground overnight. At noon today, the temperature will be above freezing and the snow
    10·1 answer
  • What's the percentage of 60% of 90 show the work??
    14·1 answer
  • What is the area of this composite figure?
    9·1 answer
  • Mya scored the following points in four basketball games: 16, 24, 32, and 22. To be a future WNBA #1 pick, like the NY Liberty's
    12·1 answer
  • Math Problem Below.
    8·2 answers
  • PLEASE HELP WITH ALL OF THIS ASAP
    10·1 answer
  • The Westside Bakery uses 540 pounds of flour to make 1000 loaves of bread. Each loaf contains the same amount of flour. How many
    15·1 answer
  • What is the formula for calculating a circle<br>​
    8·2 answers
  • Solve the inequality ||x-5|+2|≤3
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!