Let x = multiple choice, y = true/false, z = essay
(i)
where: x + y + z = 35
We need to solve for y first, in order to know how many essay questions there are, since that is our base.
y + 2y + 4y = 35
(ii)
Now to solve:
y + 2y + 4y = 35
7y = 35
[tex]\frac{7y}{y} = \frac{35}{7}[/tex]
y = 5
Therefore, there are 5 essay questions, 10 multiple choice questions, and 20 true/false questions.
10 + 5 + 20 = 35
The equation of the system will be x + y + z = 35 and the number of each type of question should the instructor put on the test will be 5.
What is the linear system?A Linear system is a system in which the degree of the variable in the equation is one. It may contain one, two, or more than two variables.
An instructor wants to create a test that has true-false questions, multiple-choice questions, and essay questions.
Let x be the number of essay questions.
Let y be the number of multiple-choice questions.
Let z be the number of true-false questions.
He wants the test to have 35 questions, with twice as many multiple-choice questions as essay questions and with twice as many true-false questions as multiple-choice questions.
x = 2y
z = 4y
1. Then the equation of the system will be
x + y + z = 35
Then we have
2. Then the number of each type of question should the instructor put on the test will be
y + 2y + 4y = 35
y = 5
More about the linear system link is given below.
https://brainly.com/question/20379472
Hey guys, I need your help!
The whole permutation stuff is pretty new to me. My teacher taught the class this recently, but I am still unsure on what to do. I would love it if anyone out there who can provide a step-by-step instructions and an explanation please!
Step-by-step explanation:
Permutation is "How many ways can you arrange 'r' from a set of 'n' if the order matters?"
For #7, it would be "how many ways can you pick 2 things out of 6 things when the order matters?"
The steps for this is in the picture.
For #9, you would do the same as #7 and just add -4 to your final answer
Need help with math problem if do 5 star and brain point
Answer:
Part 1) The ratio of buttons in package A to package B is 7:12
Part 2) For every 1 button in package C, there are 5 in package D.
Part 3) The ratio of buttons in package A to the total number of buttons is 1:5
Step-by-step explanation:
Part 1.
To find the ratio of buttons in package A to package B, we first have to identify how many buttons are in each package.
Package A: 35
Package B: 60
One way we can find the ratio of 35 to 60 is to find a common factor between the two numbers.
Well, both 35 and 60 have a common factor of 5.
Now we divide both numbers by 5 to simplify
35 / 5 = 7
60 / 5 = 12
Now we have the ratio of 7:12
It cannot be simplified anymore since 7 and 12 have no common factors
Part 2.
To find the answer to this, we have to find the ratio of buttons in package C to package D.
Package C: 10 buttons
Package D: 50 buttons
Now we find a common factor between the two numbers
The greatest factor is 10
Now we divide both numbers by 10 to simplify
10 / 10 = 1
50 / 10 = 5
So, our ratio is 1:5
That means for every 1 button in package C, there are 5 in package D.
Part 3.
To find this ratio, we have to identify the number of buttons for both sides.
Package A: 35
All Packages: 60 + 10 + 50 + 20 + 35 = 175
So, let's find the greatest common factor between 175 and 35
Well, the greatest common factor is 35, since 35 is a factor of 175
35 / 35 = 1
175 / 35 = 5
The ratio of buttons in package A to the total number of buttons is 1:5
this season the baseball team won 3/5 of its games. assuming there’s no ties, what is the ratio of games won to games lost
Answer:
3:2
Step-by-step explanation:
if they won 3/5 games, then the other 2 were lost so the ratio would be 3:2
Factor the greatest common factor (GCF) from each polynomial. 81ab-90a
Answer:
9a(9b-10)
Step-by-step explanation:
Easy word problem (click photo)
Answer:
90 apples
Step-by-step explanation:
1st class did 1/3, 1/3 of 60 is 20, 60-20 is 40, 40 into 2.25 or 2 1/4 = 90 because 40 x 2 = 80 and 1/4 of 40 is 10, 10+80 = 90, so the second class needs 90 apples
Answer:
90 apples
Step-by-step explanation:
First, we need to find 1/3 of the total number of pies, which is the number of pies the first class made. To do this, we divide 60 by 3 (or multiply 60 by 1/3):
60 ÷ 3 = 20
This means the first class made 20 pies and that the second class has to make 40 pies (60 - 20 = 40)
1 pie needs 2 1/4 apples
To find how many apples the second class will need, we must multiply 40 (the number of pies) • 2 1/4 (the number of apples needed for 1 pie)
40 • 2 1/4 = 90
This means 90 apples are needed for the second class to make the remaining pies
Which is the product of 7/9 and 6?
O A. 1 4/9
о в. 3 7/9
O c. 4 2 /3
o D. 7 5/7
evaluate the expression (3x2)^2
Hey there!
(3 * 2)^2
= (3 + 3)^2
= 6^2
= 6 * 6
= 6 + 6 + 6 + 6 + 6 + 6
= 12 + 12 + 12
= 24 + 12
= 36
Therefore, your answer is: 36
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
(3 × 2)² = 36
Step-by-step explanation:
Given expression,
→ (3 × 2)²
Evaluating the expression,
→ (3 × 2)²
→ (6)²
→ 36
Hence, the answer is 36.
Find the GCF of 48, 54, and 60.
Answer:
6
Step-by-step explanation:
the gcf of 48 and 54 is 6,the gcf of 60 is 60.
at a stationery store 6 pens were sold at $20. Mr. wong bought pens for his 36 students. each student got 2 pens. how much did he spend altogether?
Answer:
[tex](20 \div 6) \times (36 \times 2) = 3.30 \times 72 = 237.60[/tex]
HOPE IT HELP!!How do the terms in Pattern B relate to the terms in Pattern A?
Pattern A: 5, 10, 15, 20, 25
Pattern B: 15, 30, 45, 60, 75
really like to know the answer please and thank u! I didn't study
Answer:
pattern B
Step-by-step explanation:
just took the test
What is the answer for X+8
Answer: the answer is x+8= 1
Numbers x and y both squared and added
And ASAP pls
Nira here :)
Answer:
2x² + 4y²
according to your given information.......
Prepare a frequency distribution for the data set.
Data set C: The heights (rounded to the nearest inch) of 30 students are given.
Answer:
Frequency means the number of times the value occurs in the data set.
Therefore, to determine the frequency of height 63, count the number of times "63" occurs in the data set. From inspection of the data set, we can see that there are five "63"s so the frequency of 63 is 5.
Height Frequency
63 5
64 1
65 6
66 2
67 3
68 3
69 4
70 0
71 2
72 4
Total 30
How do I find the ordered pair with an x-value of 2, for the equation f(x)=4x-1? What is the ordered pair? urgent please
Answer:
(2,7)
Step-by-step explanation:
Plug in 2 for x for f(x)
[tex]4(2) - 1 = 7[/tex]
So the answer will be (2,7)
choose the sentence that complete the fact family like 3×6=18 18÷6=3 6×3=18 is it a 6÷3=2 b 18÷3=6 c 9÷3=3 d 18÷9=2 is it abc or d
Answer:
b 18÷3=6
Step-by-step explanation:
The fact family contains 3,6and 18
since 3×6=18,18÷6=3and 6×3=18
∴ you need to look for numbers that contain 3,6and18. when you find the number make sure to check that they are not in the question, if it is not in the question then that is your answer.
hope it helps
If x = 9, is AE parallel to BD ? why or why not?
Answer:
To find : The error in the solution and what additional step needs to be completed?
Solution : The mistake is the step 3 and additional step need to be added after it.
Step 1 - \log x -\log_5 3 = 2\log_5 3logx−log
5
3=2log
5
3
Step 2 - \log x = 3\log_5 3logx=3log
5
3
Step 3 - \log x =\log_5 3^3logx=log
5
3
3
Step 4 - \log x=\log_5 27logx=log
5
27
Applying change base rule of logarithmic, \log_b a=\frac{\log a}{\log b}log
b
a=
logb
loga
Step 5 - \log x=\frac{\log 27}{\log 5}logx=
log5
log27
Step 6 - \log x=\frac{1.431}{0.698}logx=
0.698
1.431
Step 7 - \log x=2.050logx=2.050
Step 8 - x=10^{2.050}x=10
2.050
Step 9 - x=112.20x=112.20
From step 4 to 9 is the required steps.
6. How do you write 100 as a power of 10?
Answer:10 to the 2nd power
Step-by-step explanation:
How can I use an equation with a single unknown to help understand with my billing
Answer:
U just said a random thing
Step-by-step explanation:
How many solutions can be found for the system of linear equations represented on the graph?
A) no solution
B) one solution
C) two solutions
D) infinitely many solutions
Answer:
Infinetly many (d)
Step-by-step explanation:
The graphs are the same, so they will all have the same solutions.
hope this helps!
ibrahim
What % of people surveyed
were 6-10 and 21-25 years old
Add total people:
5 + 20 + 40 + 30 + 20 = 115 people
Add people 6-10 to 21-25 = 20 + 20 = 40
Divide the two age ranges by total people:
40/115 = 0.34782609
Multiply by 100 to get percent:
0.34782609 x 100 = 34.782609% Round off as needed
p multiple by 4 written as a
algebraic expression
Answer:
4p
Step-by-step explanation:
you dont have to put multiplication sign when you multiply by variables this is honestly a pretty easy question
Jessica finds an old a box of albums in her grandfathers attic. There are a total of 24 albums. After looking at all of them she discoveres that 3/4 of them are cracked. How many albums are not cracked?
Answer:
6
Step-by-step explanation:
Just multiply both the top and bottom by 6 you get 18/24 from 3/4
Alguien que me explique como se saca la integral de este:
The integral distributes over the sum:
[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \int 4x^{\frac34} \, dx + \int 2x^{\frac34} \, dx + \int 4x^{\frac12} \, dx + \int 2x \, dx + \int 2 \, dx[/tex]
Then just integrate each term using the power rule; if n ≠ -1, then
[tex]\displaystyle \int x^n \, dx = \frac{x^{n+1}}{n+1} + C[/tex]
Then your integral is simply
[tex]\displaystyle \int \left(4x^{\frac34} + 2x^{\frac34} + 4x^{\frac12} + 2x + 2\right) \, dx \\\\\\ = \frac{4x^{\frac34+1}}{\frac34+1} + \frac{2x^{\frac34+1}}{\frac34+1} + \frac{4x^{\frac12+1}}{\frac12+1} + \frac{2x^2}2 + \frac{2x^1}1 + C \\\\\\ = \frac{16}7 x^{\frac74} + \frac87 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C \\\\\\ = \boxed{\frac{24}7 x^{\frac74} + \frac83 x^{\frac32} + x^2 + 2x + C}[/tex]
Change 288 square inches to feet
[tex]______________________________________________[/tex]
[tex]\huge\rm{ANSWER:}[/tex]
2 square feet[tex]\huge\rm{GIVEN:}[/tex]
Change 288 square inches to feet
(Keep in mind that 1 feet equals 12 inches)
[tex]\huge\rm{SOLUTION:}[/tex]
Follow these steps to convert to square feet.
Step 1: Convert an inch to a square inch.
If 1 feet equals 12 inches, then
1 square feet equals (12) inches equals 144 square inches
As a result, 144 square inches equals one square feet.
Step 2: Using the unitary method, we obtain
288 square inches = 288/144 square feet.
288 square inches = 2 square feet
As a result, 288 square inches equals 2 square feet.
[tex]______________________________________________[/tex]
out of 30 students in a class,5 said they ride there bikes to school. based on these relusts, how many of the 600 students ride there bike to school
Answer:
125 students ride their bike to school
Step-by-step explanation:
We can set a proportion.
5 / 32 = x / 800
where x is the number of students out of 100 who ride their bikes.
Cross multiply.
32x = 4000
Divide both sides of the equation by 32.
x = 125
125 students out of 800 students ride their bikes to school.
for function f(x) =-3x+3 find f(0).
Answer:
f(0)=3
Step-by-step explanation:
f(0) = -3 x 0 + 3
f(0)=3
Urgent need help pls answer with correct explanation
Answer:
See below.Step-by-step explanation:
Question 1:
A beach ball is a sphere. It's that simple.Question 2:
This requires your eyes to find it. On the right-middle side, there is a prism that says 3, 2, and 4. The order to multiplying this is 3 * 2 * 4. The answer is 24.Question 3:
Can't solve this sorry. :(
What fractions are greater than 7/12
Answer:
8/12 and higher. To ensure an accurate answer, are there other fractions to compare "7/12" to?
Step-by-step explanation:
Elizabeth takes home $576 each week at her job as a clerk-typist. If she gets an 8% raise, how much will she take home each week?
Answer:
622.08
Step-by-step explanation:
576 × (0.080 ÷ 1)
576 × 1.08
622.08
Answer:
622.08
Step-by-step explanation:
hope it helps you
At a party there are 40 prizes, which are either kazoos or whistles. The tape diagram shows the ratio of kazoos to whistles.
Complete the table.
Original ratio Prizes at the party
Kazoos 3 : -
Whistles 5 : -
Total prizes - :40
Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Given the diagram, the ratio is represented, hence:
Number of Kazoos = (3/8) * 40 = 15
Number of whistles = (5/8) * 40 = 35
Out of the 40 prizes, 15 prizes were for Kazoos and 35 prizes were for whistle
Find out more on equation at: https://brainly.com/question/2972832