Given :
Stephanie took a science exam that had two parts. Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions. Part 2: She got 16 questions correct, which was 2/3 of the number of part 2 questions.
To Find :
The total number of questions on Stephanie's exam.
Solution :
Let, number of questions in Part 1 is x :
[tex]16=\dfrac{4}{5}x\\\\x=20[/tex]
Let, number of questions in Part 2 is y :
[tex]16=\dfrac{2}{3}y\\\\y=24[/tex]
Therefore, total number of questions on Stephanie's exam are 20 + 40 = 60.
Hence, this is the required solution.
Please help!
Jill's father is a pilot. The airplane he flies can carry 396 passengers. If each passenger is allowed to take 60 pounds of luggage, how many total pounds can the plane carry in luggage?
Answer:
23760 pounds
Step-by-step explanation:
396 passengers
60 pounds for each passenger
total pounds plane can carry=passengers × pounds
= 396×60
= 23760 pounds
....
17.) You want to purchase 4 board games that are $15 each. There is a 6% sales tax. What is the
total amount of your purchase?
Answer:
$63.60
Step-by-step explanation:
4 board games are $15 each, multiply 4*15 = 60.
There is a 6% sales tax, so it is 6% extra. To calculate 6% as a decimal, divide it by 100, so 6/100 = 0.06. Now that it is 0.06 extra, you add 0.06 to 1.00 because 1.00 is the 100% of the price (the $60). So now it is 1.06 of the price. Multiply 60 * 1.06 and you get $63.60
Answer:
60.36 cents
Step-by-step explanation:
you have to times 60 by .6 then you get 36 and that is how much taxes cost.
ASAP I need help on this
Answer: x = 6x/5
Step-by-step explanation:
Answer:
x = 10/3
Step-by-step explanation:
[tex]\frac{x}{2} + \frac{2}{2} = \frac{4x}{5}[/tex]
[tex]\frac{x + 2}{2} = \frac{4x}{5}[/tex]
[tex]x + 2 = \frac{8x}{5}[/tex]
5x + 10 = 8x
10 = 3x
x = 10/3
Can somebody please tell me what 1 1/3+(−5/6) is??
1/2
Step-by-step explanation:Hi there !
1 1/3 + (-5/6) =
= (1*3+1)/3 - 5/6
= ²⁾4/3 - 5/6
= 8/6 - 5/6
= (8 - 5)/6
= 3/6
= 1/2
Good luck !
A purse contains a collection of quarters, dimes, nickels, and pennies. The average value of the coins in the purse is 17 cents. If a penny is removed from the purse, the average value of the coins becomes 18 cents. How many nickels are in the purse?
Answer:
There are total of 17 coins in the purse
Step-by-step explanation:
Let x represent the no of coins in the purse
Let y represent the total amount
y/x = 0.17
y = 0.17*x............................(i)
y-0.01 / x-1 = 0.18
y - 0.01 = 0.18x -0.18........(ii)
We substitute y = 0.17 x into the second equation:
0.17x - 0.01 = 0.18x - 0.18
0.17 = 0.01x
x = 17
Hence, there are total of 17 coins in the purse
In 2016, the cost of 2 ounces of pure gold was $2,640. Complete the double number line to show the cost for 1, 3, and 4 ounces of gold.
Answer:
1 would be 1320
3 would be 3960
4 would be 5280
Step-by-step explanation:
The cost of 1, 3 and 4 ounces of gold in 2016 was $1,320, $3,960 and $5,280 respectively.
Cost of 2 ounces of gold in 2016 = $2,640
Cost of 1 ounce of gold in 2016 = Cost of 2 ounces of gold in 2016 ÷ 2
= $2,640 ÷ 2
= $1,320
Cost of 3 ounces of gold in 2016 = Cost of 1 ounce of gold in 2016 × 3
= $1,320 × 3
= $3,960
Cost of 4 ounces of gold in 2016 = Cost of 1 ounce of gold in 2016 × 4
= $1320 × 4
= $5,280
Therefore, the cost of 1, 3 and 4 ounces of gold in 2016 are $1,320, $3,960 and $5,280 respectively.
Read more:
https://brainly.com/question/23869627
SORRY I NEED HELP AGAIN! 5 cans of soda cost $3.75. At this rate, how much do 3 cans of soda cost?
Type your answer here..
Answer:
So if 5 soda cost $3.75 per can, multiply 3 times $3.75 and that would be your answer: $11.25
Step-by-step explanation:
Sally prepaid
11/
the price of a ticket to a concert. The amount she prepaid was $15.
What was the total price of the ticket?
pls help
Answer: option c
good luck
Answer:
Step-by-step explanation:
30
Solve for the variable.
pls help me
Answer:
b=17
Step-by-step explanation:
180-(68+19)=93
5b+2+93=180
5b+95=180
180-95=85
5b=85
85/5=17
b=17
A researcher needs 25 mL or 45%
base Solution for a certain
expiriment, but she has only 15%
Solution and 65% Solution. How
many mL of the 15% and the
65% Solutions should she mix to
get what She needs?
Answer:
10 mL of 15% solution
15 mL of 65% solution
Step-by-step explanation:
If x is the volume of 15% solution, and y is the volume of 65% solution, then:
x + y = 25
0.15 x + 0.65 y = 0.45 (25)
Solve with substitution:
0.15 x + 0.65 (25 − x) = 0.45 (25)
0.15 x + 16.25 − 0.65 x = 11.25
0.50 x = 5
x = 10
y = 15
Pick < ,< or = to make the statement true. 11 ..... 52/9
Answer:
11>52/9
Step-by-step explanation:
52/9 = 5.7777....
11> 5.77777....
plssssss help
O 5 units
O 10 units
O 9 units
O 13 units
i rlly need help im stuck can someone help me out. What the total price?
The domain of a function h(x) is x > 3, and the range is y2-2 What are the domain and range of its inverse function, h-'(x)?
Answer:what’s the answer plz
Step-by-step explanation:
What’s the common difference for this arithmetic sequence: 23,__,__,50...
9514 1404 393
Answer:
9
Step-by-step explanation:
The 4th term is the sum of the first term and 3 times the common difference.
50 = 23 + 3d
27 = 3d
9 = d
The common difference is 9.
__
The first few terms are ...
23, 32, 41, 50, 59, 68, ...
Composite functions
g(d) = 2d - 5
h(d) = -4d +3
Find (hºg)(d)
Answer:
[tex](h\circ g)(d)=-8d +23[/tex]
Step-by-step explanation:
Composite Function
Given g(d) and h(d) real functions, the composite function named (hog)(d) is defined as:
[tex](h\circ g)(d)=h(g(x))[/tex]
For practical purposes, it can be found by substituting g into h.
The functions g and h are given as:
[tex]g(d) = 2d - 5[/tex]
[tex]h(d) = -4d +3[/tex]
Substituting g into h:
[tex](h\circ g)(d)=-4(2d - 5) +3[/tex]
Operating:
[tex](h\circ g)(d)=-8d +20 +3[/tex]
[tex]\boxed{(h\circ g)(d)=-8d +23}[/tex]
Write a system of linear equations that has (-4, 8) as the solution. Once you have made your system of equations, solve it algebraically to show that you do indeed get the solution (-4, 8).
Answer:
See below
Step-by-step explanation:
(-4, 8) has to be the solution.
1st equation: -4x+8y = 1
2nd equation: 8x - 4y = 1
These should work. Do the matrix-substitution combo method to see:
-4 8 1
.8 -4 -1
Reduce and and matrix-substitution combo:
1 0 -4
0 1 8
The reduced eckerd form of the matrix shows that the solutions are (-4, 8)
Therefore it -4x + 8u = 1 and 8x - 4y = 1 are the two equations for the system.
Ross said that if (x² + a)(x2 + b) = O means that (x2 + a) = 0 or (x2 + b) = 0, then(x+
a)(x2 + b) = 2 means that (x2 + a) = 2 or (x? b) = 2. Do you agree with Ross? Explain
why or why not.
9514 1404 393
Answer:
no; 2 has many factors besides 2
Step-by-step explanation:
The zero product rule says the only way a product may have a value of zero is if one or more factors is zero. That is why one of the factors of ...
(x^2 +a)(x^2 +b) = 0
must have a value of 0.
__
The same cannot be said of 2. We might have (1/2)(4) = 2, for instance, in which neither factor is 2. That a product is 2 is not a requirement that one of the factors be 2.
please answer this question
Answer:
18 pounds/bucket.
Step-by-step explanation:
All you have to do is 450 divided by 25 and you get 18 :)
Answer:
18
Step-by-step explanation:
450lbs / 25wieght = 18
solve this - 4x < 32
Answer:
[tex] - 4x < 32 \\ or \: - x < \frac{32}{4} \\ or \: - x < 8 \\ or \: x < - 8 \\ \\ therefore \: x \: < - 8.[/tex]
Thank you ☺️
helpp asappp it’s just one question!!!
Write the equations of the following lines.
a. The line is parallel to y=3x+2 and passes through the point (0,0).
b. The line is perpendicular to the graph of y=x+1 and passes through the point (1,1).
PLS HELP! THANK YOU!
Answer:
a. y= 3x
b. y= -x + 2
Step-by-step explanation:
Its the answer
Answer:
b is y=2x-1 and i dont know for a. im also stuck on it
Step-by-step explanation:
Which equations represent the line that is parallel to 3x - 4y = 7 and passes through the point (-4,-2)? Select two
options
y=-3/4x+1
3x - 4y = -4
4x - 3y = -3
y-2 = -3/4(x - 4)
y+2 =3/4(x + 4)
Answer:
y = 3/ 4 x + 1
Step-by-step explanation:
Simplify negative 4 over 3 divided by 2 over negative 6
Answer:
-4 x 3= 12 divid 2= 6 x -6 =12
Step-by-step explanation:
PLEASE NEED HELP:(
Joseph borrowed a book from a library. The library charged a fixed rental for the book and a late fee for every day the book was overdue. The expression below shows the charges Joseph paid for the book when he returned it x days after the due date:
2 + 0.25x
What does the coefficient of the expression represent?
A:The fixed rental for the book
B:The total late fee for the book
C:The late fee per day for the book
D:The number of days the book was overdue
Answer:
C. The late fee per day for the book
Step-by-step explanation:
“ The library charged a fixed rental for the book and a late fee for every day the book was overdue.”
Answer:
C
Step-by-step explanation:
the problem says there is a late fee for every day the book is overdue, 'x' represents the days, so multiplying the two together filling in 'x' would give you the total late fee amount.
1
The price of a video game was reduced from $60 to $45. By what percentage
was the price of the video game reduced?
А
15%
B
75%
C
25%
D
40%
Answer:
C, 25%
Step-by-step explanation:
25% = 1/4
1/4 of 60 = 15
60 - 15 = 45
Which of the following is the closest approximation to V20 ?
A 2
B. 3
C. 4
D. 5
Answer:
B.3
Step-by-step explanation:
Why because like 3 my favorite number and i had this same problem and the answer was 3.
Evaluate each using the values given. P-q ÷ 3; use p= 4, and q = 3
Answer:
3
Step-by-step explanation:
p - q ÷ 3 = ?
First, substitute in 3 for q and 4 for p
4 - 3 ÷ 3 = ?
You divide first because of the PEMDAS rule (Parenthesis, Exponents, Multiplication Division (left to right) Addition Subtraction (left to right)
4 - 1 = ?
Subtract to get your answer:
3
I hope this helps :)
how do you simplify this?
Answer:
tan x
Step-by-step explanation:
(tan-x)[sec(pi/2)-x] (sin-x)
We know that tan (-x) = - tan (x) and sin (-x) = - sin (x)
-(tanx)[sec(pi/2)-x] -(sinx)
(tanx)[sec(pi/2)-x] (sinx)
Using the identity sec = 1/ cos
sec ( pi/2 -x) =1/cos ( pi /2 -x)
We know that cos (s-t)=cos (s) cos(t) + sin (s) sin (t)
1/ ( cos pi/2 cos x + sin pi/2 sin x) = 1/(0 cos x - 1 sinx) = 1 / sinx
Replacing into the equation
(tanx)[1/ sinx] (sinx)
tan x
7. Melissa bought 8 yards of string to make bracelets. She wants to cut the string in equal pieces that is 1/2 yard
long. How many pieces of strings with Melissa have?
A 4
B 16
C 40
D 50
Please answer this it’s for a test and I suck in math I don’t even know how I’m in pre ap
Step-by-step explanation: To find this answer, you want to divide the amount of yards in half. This is the case since each string is 1/2. So as a result, each yard of whole string will produce 2 strings. To find your final answer, multiply 2 strings by 8 yards.
