Answer:
The student completed 13 courses worth 3 credits
Step-by-step explanation:
System of Equations
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
Simplify the following expression
4[7+2/3-2(3/5)]
Answer: Add 7+ [tex]\frac{2}{3}= \frac{7}{1} + \frac{2}{3} = \frac{7.3}{1.3} + \frac{2}{3} = \frac{21.2}{3} = \frac{23}{3}[/tex] For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(1, 3) = 3. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 1 × 3 = 3. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - seven plus two thirds = twenty-three thirds.
Multiple: 2 * [tex]\frac{3}{5} = \frac{2.3}{1.5} = \frac{6}{5}[/tex] Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(6, 5) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - two multiplied by three fifths = six fifths.
Subtract = [tex]\frac{23}{3} - \frac{6}{5} = \frac{23.5}{3.5} - \frac{6.3}{5.3} = \frac{115}{15} - \frac{18}{15} =\frac{115 - 18}{15}[/tex]For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(3, 5) = 15. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 3 × 5 = 15. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - twenty-three thirds minus six fifths = ninety-seven fifteenths.
Multiple: 4 Multiply both numerators and denominators. Result fraction keep to lowest possible denominator GCD(388, 15) = 1. In the next intermediate step the fraction result cannot be further simplified by canceling.
In words - four multiplied by ninety-seven fifteenths = three hundred eighty-eight fifteenths.
Step-by-step explanation:
hope this helps
Help ASAP I’ll mark brainliest
Answer:
D
Step-by-step explanation:
It starts at the left and starting at the left the points start to go down which means it is negative
Can somebody please help me!!
Answer:
C≈15.71
Step-by-step explanation: use the circumference formula
What is the equation of the line that is parallel to y = 3x - 1 and goes through the point (0, 9)?
Answer:
Step-by-step explanation:
y - 9 = 3(x - 0)
y - 9 = 3x - 0
y = 3x + 9
Two chemical plants, one at Macon and one at Jonestown, produce two types of fertilizer, low phosphorus (LP) and high phosphorus (HP). At each plant, the fertilizer is produced in a single production run, so the two types are produced in fixed proportions. The Macon plant produces 1 ton of LP and 3 tons of HP in a single operation, and it charges $600 for what is produced in one operation, whereas one operation of the Jonestown plant produces 1 ton of LP and 1 ton of HP, and it charges $1,000 for what it produces in one operation. If a customer needs at least 100 tons of LP and 180 tons of HP, how many production runs from each plant should be ordered to minimize the cost.
9514 1404 393
Answer:
100 runs from Macon
Step-by-step explanation:
A graph of the requirements shows the feasible region is bounded by a polygon with vertices (Macon, Jonestown) = (0, 180), (40, 60), and (100, 0).
Checking costs of these solutions, we find the lowest cost to be obtained when ...
100 production runs should be ordered from Macon
What is the HCF of 27 and 15
Answer:
3
Step-by-step explanation:
Answer: 3
Step-by-step explanation:
5x3=15 and 3x9=27 so it’s 3.
Show the work for the answer
x=³√27
x = 3
Answer:
x = 3
Step-by-step explanation:
Given that,
[tex]x=\sqrt[3]{27}[/tex]
We need to show work to solve it.
We know that,
27 = 3×3×3
or
27 = (3³)
So,
[tex]x=\sqrt[3]{3\times 3\times 3}\\\\=(3^3)^{\dfrac{1}{3}}\\\\x=3[/tex]
Hence, this is the required solution.
peter has 6/7 of a stack of baseball cards left. If he is planning on splitting what he has left into stacks that are each 3/28 of a pack of cards, how man stacks can he make?
=======================================================
Work Shown:
Let's say there are 28 cards in a full stack.
6/7 = 24/28 after multiplying top and bottom by 4
Since he has 24/28 of a stack left, this means he has 24 cards left.
He wants to arrange the remaining cards into piles so that each pile consists of 3/28 of a full stack. In other words, he wants each pile to have 3 cards.
So this must mean he will get 24/3 = 8 piles
(8 piles)*(3 cards per pile) = 8*3 = 24 cards total
A fraction is a way to describe a part of a whole. The number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.
What is a Fraction?A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.
Given that Peter has 6/7 of a stack of baseball cards left. Also, he makes small stacks from the left cards of size 3/28. Therefore, the number of stacks Peter made,
[tex]\text{Number of stacks Peter made} = \dfrac{\text{Stack of baseball cards left}}{\text{Size of small stack of cards}}\\\\\\\text{Number of stacks Peter made} = \dfrac{\frac{6}{7}}{\frac{3}{28}}\\\\\\\text{Number of stacks Peter made} = \dfrac{6 \times 28}{7 \times 3} = 8[/tex]
Hence, the number of stacks that Peter has left into stacks that are each 3/28 of a pack of the left cards is 8.
Learn more about Fraction:
https://brainly.com/question/1301963
#SPJ2
Q.1 Thee are five girls and three boys in a group. The teacher chose one person at random. How could the teacher make a random choice?
Q.2 A random number generator generates a whole number in the range 1 to 100. What is the probability it is 40 or more if the number is greater than 25?
Answer:
Q1: She can write names of each Student on separate Papers and choose one Randomly, the Result may be 5:3 Girls to Boys
Q2: 75/100
Cost of materials used $45,000
Direct labor costs 48,000
Factory overhead 39,000
Work in process, beginning 18,000
Work in process, ending 28,000
What is the cost of goods manufactured?
a.
$122,000
b.
$132,000
c.
$142,000
d.
$178,000
d $178,000 cost of foods
It is not suppose to say college. (not part of the question)
Encountering a head wind of 30 miles per hour, it took a plane, whose speed would have been 450 miles per hour, 6 hours to fly from San Diego to Honolulu. What was the distance between these two points?
Answer:
32 I would say is the correct answer to this question
Puzzles are packaged in groups of 3. If the store has 183 nature puzzles and 165 animal puzzles, how many packages of puzzles are there?
Answer: 116 packages
Step-by-step explanation:
From the question, we are informed that Puzzles are packaged in groups of 3 and that the store has 183 nature puzzles. The number of packages here will be:
= 183/3
= 61 packages
For the 165 animal puzzles, the number of packages will be:
= 165/3
= 55 packages
The total number of packages of puzzles will be:
= 61 + 55 packages
= 116 packages
Answer:
116
Step-by-step explanation:
First find total number of puzzles.
183+165=348
Then divide the total puzzles by puzzles in a package (3)
348÷3=
116 packages of puzzles
A total of 328 tickets were sold for the school play. They were either adult tickets or student tickets. The number of student tickets sold was three times the
number of adult tickets sold. How many adult tickets were sold?
Answer:
246 adult tickets were sold
Step-by-step explanation:
System of equations:
Variables:
x = number of adult tickets sold
y = number of student tickets sold
There were a total of 328 tickets sold, thus:
x + y = 328
The number of student tickets sold was three times the number of adult tickets sold, thus:
y = 3x
Substituting in the first equation:
x + 3x = 328
Simplifying:
4x = 328
Dividing by 4:
x = 328/4
x = 82
y = 3*82= 246
246 adult tickets were sold
Find the measure of x, then the measure of
А
(33-9x)"
48/Dc
x =
degrees
I need it now please!!!
Answer:
x = - 11 ; m∠B = 132°
Step-by-step explanation:
(33 - 9x)° + 48° = 180°
33 - 9x + 48 = 180
81 - 9x = 180
- 9x = 99
x = - 11
m∠B = [33 - 9(- 11)]° = (33 + 99)° = 132°
m∠B = 132°
A rectangular price tag has a cemeter of 30 centimeters, It's area is 54 square centimeters
What are the dimensions of the price tag
Answer:
l = 9 inches and b = 6 inches.
Step-by-step explanation:
Given that,
The perimeter of a rectangular price tag, P = 30 cm
The area of rectangular price tag, A = 54
We need to find the dimensions of the price tag.
The area of rectangle is given by :
A = lb
So,
54=lb ...(1)
The perimeter of a rectangle is given by :
P = 2(l+b)
So,
30=2(l+b)
15=(l+b) ...(2)
We need to solve equation (1) and (2) such that,
l = 9 inches and b = 6 inches.
Solve the system of linear equations below, using substitution method.
8x + 9y = 36
3x + 4y = 16
0 (0,4)
хо (57.6.-47.2)
0 (4.4137, 2.9396)
O (5.6842,-0.2632)
5
Answer:
The solution is (0,4).
Step-by-step explanation:
We are given the following system of equations:
[tex]8x + 9y = 36[/tex]
[tex]3x + 4y = 16[/tex]
Solving by substitution.
In the first equation, we have that:
[tex]8x + 9y = 36[/tex]
[tex]8x = 36 - 9y[/tex]
[tex]x = \frac{36-9y}{8}[/tex]
Replacing in the second equation:
[tex]3x + 4y = 16[/tex]
[tex]3\frac{36-9y}{8} + 4y = 16[/tex]
Multiplying everything by 7
[tex]3(36 - 9y) + 32y = 128[/tex]
[tex]108 - 27y + 32y = 128[/tex]
[tex]5y = 20[/tex]
[tex]y = \frac{20}{5}[/tex]
[tex]y = 4[/tex]
Now, with y, we can find x.
[tex]x = \frac{36-9*4}{8} = 0[/tex]
So the solution is (0,4).
Complete the statement to illustrate the commutative property. (PLEASE ANSWER FAST FOR BRAINLIEST!!!)
10 + (9 + 11) = 10 + (11 + ___ )
a. 11
b. 20
c. 9
d. 10
Answer:
9
--- your answer is 9 oof
PLEASE helppp I will give brainsssss!! FInd x and y
Answer:
x = 10°, y = 20°
Step-by-step explanation:
Fill in the missing angle measures, 20° and 70°.
7x = 180 - 90 - 20
7x = 70
x = 10
2y = 180 - 7x - 5x - 20 = 40
y = 20
Vishal's phone plan costs $45.37 per month plus $0.60 per text message. How many text messages can he send and keep his monthly costs to no more than $79?
how do you subtract a deciamal with different denominators?
Answer: decimals dont have denominators fractions do
(3b+2)(b-8) multiply
Answer:
3b^2-22b-16
Step-by-step explanation:
3b^2-24b+2b-16=
3b^2-22b-16
Answer:
3b^2 -22b -16
Step-by-step explanation:
(3b+2)(b-8)
FOIL
first :3b*b = 3b^2
outer : 3b *-8 = -24b
inner: 2*b = 2b
last: 2*-8 = -16
Add them together
3b^2 -24b+2b -16
Combine like terms
3b^2 -22b -16
the last one is 3/20
Answer:
the answer is C my man. I believe so
Answer:
I believe it is C.
Step-by-step explanation:
What is the average rate of change of the function g(x) = 4x from x = 1 to x = 5?
Answer:
[tex]\displaystyle 4[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
BracketsParenthesisExponentsMultiplicationDivisionAdditionSubtractionLeft to RightAlgebra I
Function NotationInterval Notation - [a, b]Average Rate of Change: [tex]\displaystyle \displaystyle \frac{f(b) - f(a)}{b - a}[/tex]Step-by-step explanation:
Step 1: Define
g(x) = 4x
Interval [1, 5]
Step 2: Find Change
Substitute in function and points [Average Rate of Change]: [tex]\displaystyle \displaystyle \frac{4(5) - 4(1)}{5 - 1}[/tex][Fraction] Multiply: [tex]\displaystyle \displaystyle \frac{20 - 4}{5 - 1}[/tex][Fraction] Subtract: [tex]\displaystyle \displaystyle \frac{16}{4}[/tex][Fraction] Divide: [tex]\displaystyle 4[/tex]NEED ANSWER ASAP DUE TODAY!!!!!
Calculate the value of each expression.
a. (-8) times 2/3
b. (-8) times (-2/3)
c. -18/3
d. 18/-3
e. -18/-3
Use the fact 26% of 78= 20.28 to find 13% of 78
Answer:10.14
Step-by-step explanation:
13x78=1014/100=10.14Fourteen increased by 6 times a number is 32?
Expand and simplify 2(x + 7) + 3(x + 1)
Answer:
[tex]5x+17[/tex]
Step-by-step explanation:
We will have to expand first then we simplify.
Expand
You will have to distribute the 2 over the x & 7 and the 3 over the x & 1 respectively.
[tex]2(x+7)+3(x+1)=2x+14+3x+3[/tex]
Simplify
You will have to add 2x & 3x together and 14 & 3 together.
[tex]2x+14+3x+3=5x+17[/tex]
Answer
[tex]5x+17[/tex]
What is 13x + 21y - 14x - y simplified?
Answer:
-x + 20y
Step-by-step explanation:
trust me.. its right
Steve completed 25% of the 40 math problems that were assigned for
homework. How many more problems does Steve need to complete?
Lindsaya
Answer:
30
Step-by-step explanation:
40-25%=30
Answer:
30
Step-by-step explanation:
quarter it, 25% of 40 is 1/4 so 30
If a person can see 6 miles from a height of 25 feet, how far can a person see from a height of 196 feet?
Answer:
24 miles
Step-by-step explanation: