Your next Pre-Algebra test is worth 93 points and contains 38 multiple choice and short answer problems. Each
multiple choice problem is worth two points and each short answer is worth three points. How many of each type of
problem is on the test?
Answer:
There are 21 multiple-choice problems and 17 short answers.
Step-by-step explanation:
Let there are x multiple-choice problems and y short answers.
ATQ,
x+y = 38 ....(1)
Each a multiple-choice problem is worth two points and each short answer is worth three points.
2x+3y = 93 ....(2)
Multiply equation (1) by 2.
2x+2y = 76 ....(3)
Subtract equation (2) and (3) we get :
2x+3y-(2x+2y) = 93-76
2x+3y-2x-2y = 17
y=17
Put the value of y in equation (1).
x+17 = 38
x=21
Hence, there are 21 multiple-choice problems and 17 short answers
C 17. At high school A, the mean score of 50 students on a science test is 75.
At high school B, the mean score of 40 students on the same test is 80.
What is the mean score of the 90 students?
Answer:
Mean score of 90 students = 77.2
Step-by-step explanation:
Mean score of 50 students from school A = 75
Mean score of 40 students from school B = 80
We need to find mean score of the 90 students?
First we will find sum of scores of students from school A
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 75, Number of terms = 50, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\75=\frac{Sum\:of\:Terms}{50}\\Sum\:of\:Terms= 75\times 50\\Sum\:of\:Terms=3750[/tex]
So, Sum of scores for School A = 3750
Now, we will find sum of scores of students from school B
We know that: [tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}[/tex]
We have Average = 80, Number of terms = 40, We need to find Sum of terms (scores)
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\80=\frac{Sum\:of\:Terms}{40}\\Sum\:of\:Terms= 80\times 40\\Sum\:of\:Terms=3200[/tex]
So, Sum of scores for School B = 3200
Now, We will find mean score of the 90 students?
Mean score of 90 students will be:
[tex]Average=\frac{Sum\:of\:Terms}{Number\:of\:terms}\\Average=\frac{3750+3200}{90}\\Average=\frac{6950}{90}\\Average = 77.2[/tex]
So, mean score of 90 students = 77.2
How do we define argument? What is the basic structure of an argument?
How do we define argument?
A.
An argument is a reasoned or thoughtful process.
B.
An argument is a statement that is untrue.
C.
An argument is a method or principle of reasoning.
D.
An argument is a statement that is true.
Please help will give 10 points
We defined an argument as a reasoned or thoughtful process. The correct option is A.
What is an argument?An argument is a statement or set of claims known as premises that are designed to assess the degree of truth or acceptability of another statement known as the conclusion. Arguments may be analyzed from three different perspectives: logical, dialectical, and rhetorical.
Since the act or process of arguing, reasoning, or discussing is known as an argument. Therefore, we defined an argument as a reasoned or thoughtful process.
An argument is made up of three parts: the conclusion, the premises, and the assumptions.
THE ConclusionThe conclusion (or theses) is the point of the argument's major idea—what the author is attempting to show.
THE LOCATIONThe premises are the reasoning or evidence provided by the author to justify the conclusion.
THE ASSURANCESThe assumptions support the conclusion, but unlike the premises, they are unsaid and so invisible.
They connect the premises and conclusions.
Learn more about Arguments here:
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Melanie is buying soft drink cans for the work fridge. In the shopping catalogue, she sees a 10 can
pack for $6.00 and a 24 can pack for $15.96. Which is the cheapest way for Melanie to buy the soft
drink? Show all working
Solve the equation 3(x−4)=12x .
Answer:
x = -4 / 3
Step-by-step explanation:
Answe 4/3
Step-by-step explanation:
Which of the points are solutions to the inequality check all that apply identifying solutions to any quality
Answer:
(0, -4)
Step-by-step explanation:
p – 12 = 1 just answer it
Answer:
p=13
Step-by-step explanation:
because I said so and it right
Answer:
P=13
Step-by-step explanation:
PLS HELP ASAP!
1/3+2/3
Answer is 1
Step-by-step explanation:
Add
1/3 + 2/3 = 3/3
Simplify
3/3 =1
lol hope i could help even if its a lil:)
A salesperson sold a car for $15,590 and their commission is $623.60. What percentage of the sale price is their commission?
Answer:
4%
Step-by-step explanation:
623.60 deivided by 15,590= commistion
THE THREE SIDES OF A TRIANGULAR LOT
ARE MEASURED TO BE APPROXIMATELY 100.52
FT, 15.321 FT AND 143.250 FT LONG. FIND THE
APPROXIMATE PERIMETER OF THE LOT
Answer:
259.09 feet
Step-by-step explanation:
Given that,
The three sides of a triangular lot are measured to be 100.52 ft, 15.321 ft and 143.250 ft.
We need to find the perimeter of the lot.
We know that,
Perimeter = sum of all sides
P = 100.52 + 15.321 + 143.250
P = 259.09 feet
So, the required perimeter of the lot is 259.09 feet.
The area in square feet of a rectangular garden can be expressed as the product of the garden’s length and width, or A(x) = 3x2 +13x +14. If the width of the garden is (x + 2) feet, what is the length of the garden?
Answer:
3x+7
Step-by-step explanation:
Use long division or synthetic division. (3x^2+13x+14)/(x+2)
The length of the rectangular garden is 3x + 7
The given expression:
[tex]A = 3x^2 + 13x + 14[/tex]
the width of the garden = x + 2
let the length of the garden = y
To find:
the length of the gardenThe area of the rectangular garden is calculated as;
[tex]A = y(x + 2) = 3x^2 + 13x + 14\\\\y(x + 2) = 3x^2 + 13x + 14\\\\y = \frac{3x^2 + 13x + 14}{x + 2}[/tex]
Using long division method:
3x + 7
------------------------------
x + 2 √ 3x² + 13x + 14
- (3x² + 6x)
-------------------------
7x + 14
- (7x + 14)
-------------------------------
0
Thus, the length of the rectangular garden, y = 3x + 7
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9.8-7.5 how do I solve for this
Answer:
Its simple the anwser is 2.3
Step-by-step explanation:
9.8
-7.5=
2.3
Doing some homework right now :) Need help on this problem
Answer:
both have 5
Step-by-step explanation:
10 divided by 2 equals 5
y-intercept: (___,___)
r-intercept: (___,___)
Answer:
y= 0,4 x=0,3
Step-by-step explanation:
Given the formula
an = 3 * 2^n-1
What is the 9th term?
Answer:
a9=3×2^9-1
a9=3×2^8
a9=3×256
a9=768
Yesterday 160 guest at a hotel called for room service, and 240 guest did not called for room service. What is the percentage of the guest at this hotel called for room service yesterday?
Options
A: 60%
B: 33%
C: 40%
D: 67%
Please help!
HELP WORTH 50 POINTS
giving brainlest to whoever does it right!!
The approximate populations of Connecticut and Vermont (as of 2019) are
listed below:
Connecticut: 3.57 x 10^6
Vermont: 6.24 x 10^5
How many times greater was the population of Connecticut than the
population of Vermont? Write your answer in standard notation, rounding to
the nearest tenth.
Answer: 1071.0 prep
Step-by-step explanation:
Convert decimals to fractions
.37
2.4
.33
Please help
Answer:
1. 37/100
2. 2 2/5 or 12/5
3. 33/100
Step-by-step explanation:
Answer: 37/100.
2 2/5.
33/100
Step-by-step explanation:
I recommend using symbolab.com for further steps and calculator
What should be added to -7/3 to get 3/7
21/58
58/21
47/21
50/21
Answer:
58/21 is added to -7/3 to get 3/7
Is x^4x^5=x^9 power of a power
Find 3 ratios that are equivalent to the given ratio.
12:15
Answer:
4:5 24:30 36:45
Step-by-step explanation:
Which trigonometric ratio would you use to solve for the variable??
Answer:
Sin angle = opp/hyp
Cos angle = Adj/ hyp
Tan angle = opp/adj
The opp = the base of the triangle
The hyp = w
The adj = 125
Btw....
SOH CAH TOA
SOH = Sin ( Opposite ÷ Hypotenuse)
CAH = Cos ( Adjacent ÷ Hypotenuse)
TOA = Tan ( Opposite ÷ Adjacent)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
Find the slope of the following graphs.
A. 1 / 2
B. 2
C. -2
D. - 1 / 2
Answer:
c, -2
Step-by-step explanation:
The point (x, y) is proportional to the point (2, 5).
Select all the true statements.
A. (x,y) is a solution to y=5/2x.
B. (x, y) is a solution to y=x+3.
C. The ratio of is equivalent to 5/2:
D. Point (x,y) is the same point as (5,2).
E. A straight line through points (2, 5) and (x,y) will pass through the origin.
Answer:
did u get the answer??
Step-by-step explanation:
if so plz help
Find the area of the isosceles triangle.
13 cm is the side length
10 cm is the base length
what is the hight?
Answer:
23
Step-by-step explanation:
because 10+13 well hope that helps
Withat are the missing length(s) of the sides of the triangle labeled 'a' and ‘b’.
Find the percent error in this situation:
Estimated value: 145
Actual value: 189
Answer:
30.3% im so sorry if this is wrong if it is u can report this :(
Step-by-step explanation:
Answer:
23.3%
Step-by-step explanation:
You have to first take the estimated value - the actual value
= 145-189 = -44
Then you want to take -44 divide the actual value which is 189
= -44 / 189= 0.232804233
Lastly, you want to take 0.232804233 and multiply it by 100
= 0.232804233 x 100= 23.28042328
Round that number to get
=23.3%
I will give brainlist please someone help!!!
Answer:
x = 6
Step-by-step explanation:
Alternate angles are congruent.
7x - 9 = 3x + 15 {Subtract 3x form both sides}
7x - 3x -9 = 15
4x - 9=15 {Add 9 to both sides}
4x = 15+9
4x = 24
x = 24/4
x = 6
Here is a number machine
PLEASE HELP FAST!!! 30 POINTS
Answer:
Slope: 1/2
Explanation: Slope=rise/run
Y-Intercept: 4
Explanation: Y-intercept is the Y value where X=0
