Let R = unit rate
R = (7/8) ÷ 1_1/4
R = (7/8) ÷ (5/4)
R = (7/8) • (4/5)
R = (7/2) • (1/5)
R = 7/10
She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a total of 274 cards.
Write a function to model the size of Sabrina’s collection.
Enter the correct equation in the box.
Answer:
x + (12x16) = 274
Step-by-step explanation:
each package = 12
16 packages
16x12= 192
x + 192 = 274
274-192=82
x = 82
The function to model the size of Sabrina’s collection is x + (12× 16) = 274.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Total cards = cards
Each package = 12
let the size of Sabrina collection be x
Then, x + (12× 16) = 274
x + 192 = 274
x = 274- 192
x= 82
Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.
Learn more about equation here:
https://brainly.com/question/10413253
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What is the area of this triangle? PLEASE HELP!!!!
9514 1404 393
Answer:
10 square units
Step-by-step explanation:
The triangle appears to have a base length (JL) of 4 units, and a height (JL to K) of 5 units. The area formula can be used:
A = (1/2)bh
A = (1/2)(4)(5) = 10
The area of the triangle is 10 square units.
Your firm is contemplating the purchase of a new $570,000 computer-based order entry system. The system will be depreciated straight-line to zero over its five-year life. It will be worth $58,000 at the end of that time. You will save $270,000 before taxes per year in order processing costs, and you will be able to reduce working capital by $73,000 (this is a one-time reduction). If the tax rate is 35 percent, what is the IRR for this project? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.G., 32.16.)
Answer:
IRR = 31.93%
Step-by-step explanation:
Depreciation = 570,000/5 = 114,000
Calculation of Operating cash flow
Operating income = 270000 - 114000 = 156,000
Tax = 156,000 * 35% = 54,600
Operating cash flow = Operating income + Depreciation - Tax = 156,000 + 114,000 - 54,600 = 215,400
Calculation of initial investment
CF0 = Initial investment - Working capital = 570,000 - 73,000 = 497,000
Calculation of the last year cash flow
CF5 = OCF + After tax salvage - Net working capital = 215,400 + 37,000 - 73,000 = 180,100
Calculation of IRR
IRR for the project = IRR(Cashflow from year0, 1, 2,3,4,5) "as attached below picture below"
IRR for the project = 31.93%
what is this? i need help please help me
Ms.Clark goes to the store and purchased a 26 lb turkey for $38.74 and two bags of potatoes. Her bill was $50.24. How much was each bag of potatoes? Write and solves the equations.
Answer:
$5.75
Step-by-step explanation:
50.24 - 38.74 is 11.5
Then, to find how much each potato bag is you need to divide by 2.
11.5 divided by 2 is 5.75.
Each bag of potatoes was 5.75$
how many times greater is 1,560,000 than 260,000
How many degrees represents 1 person ?
Step-by-step explanation:
12 degrees is 1 person
360÷30people=12
12 for 1 person
thanks for the ez question im doing a challenge TvT
Express using algebra. Five more than twice x.
Answer:
2x+ 5
Step-by-step explanation:
if p=4 and q =8
3q+2p÷2p+q
Answer:
Step-by-step explanation:
3(8)+2(4)÷2(4)+8 PEDMAS
24+8÷8+8
24+1+8
25+8
33
2)write 2/5 as persant
Answer:
40%
Step-by-step explanation:
2/5 = .4 = 40%
help me factor x^2 + 9
x 2 + 9 has no (Real) factors (Unlike x 2 − 9 )
Explanation:
The most you could do with this is use the quadratic formula on
XXXX x 2 + 0 ⋅ x + 9
to get
XXXX ± 3 i
So you could factor using Complex values:
XXXX x 2 + 9 = ( x + 3 i ) ( x − 3 i )
6. Given the implicit curve x^2-ln(x/y)=1 , Write the linear approximation () of the tangent line at (1,1) A) L(x)=-x-2 B) L(x)= -x+2 C) L(x)= -x-1 D) L(x)= -x+1
Answer:
B) L(x) = -x + 2
Step-by-step explanation:
To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.
So, x² - ln(x/y) = 1
x² - (lnx - lny) = 1
x² - lnx + lny = 1
differentiating both sides with respect to x, we have
d{x² - lnx + lny]/dx = d1/dx
dx²/dx - dlnx/dx + dlny]/dx = d1/dx
2x - 1/x + 1/y(dy/dx) = 0
1/y(dy/dx) = 1/x - 2x
dy/dx = y(1/x - 2x)
dy/dx evaluated at (1,1) is
dy/dx = y(1/x - 2x)
= (1)(1/1 - 2(1))
= 1 - 2
= -1
This is the gradient of the tangent line.
To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1
(y - y')/(x - x') = m
(y - y')/(x - x') = dy/dx
(y - 1)/(x - 1) = -1
cross-multiplying,
y - 1 = -1(x - 1)
expanding the bracket, we have
y - 1 = -x + 1
adding + 1 to both sides, we have
y -1 + 1 = -x + 1 + 1
y = -x + 2
So, L(x) = -x + 2
Solve: Use Substitution
8x + 4y = 12
y = -2x + 3
Please help me!
Answer:
(x,y) =(3/14,3/14)
Step-by-step explanation:
8x+ 4y=-2x+3 WRITE AS SYSTEM OFEQUATIONS
12y=-2x=3 simplify expressions
10x +4y =3
2x+12y=3 .......multiply both sides of the equation by -5
10x +4y=3
-10x -60= -15 sum both equations to eliminate a variable (10x cancels
and 3+-5 +-12
-56y= -12 divide both side by -56
y=3/14
2x+12x3/14=3 substitute the given value of y into the equation
x=3/14
Evaluate D57C-76CA in base 16
c₁₆ - a₁₆ = 12 - 10 = 2₁₆
7 < c = 12 in base 16, so borrow 1 from the next place value:
17₁₆ - c₁₆ = 23 - 12 = 11 = b₁₆
In the next place, we replace 5 with 4, but 4 < 6, so borrow 1 from the next place value again:
14₁₆ - 6₁₆ = 20 - 6 = 14 = e₁₆
Replace d with c, so that
c₁₆ - 7₁₆ = 12 - 7 = 5₁₆
and this gives
d57c₁₆ - 76ca₁₆ = 5eb2₁₆
HELPPPP I BEG YOUU!!!! IT IS ALGEBRA 1
Answer:
The answers are in the screenshot. There wasn't much information to go by, so if the domain and range (and graph) look a little weird, that's why
I need number 10 if you can get 11 then could you help me with that too?
If it is correct I will give a Branliest!!!
Answer:
10. 3 musicians
11. a) 10 feet
b) can't read all of it
Step-by-step explanation:
Answer:
#10 should be 3
Step-by-step explanation:
Which of the sets of ordered pairs represents a function? (4 points) A = {(−5, 5), (−2, 2), (2, −2), (5, −5)} B = {(4, 2), (3, −2), (9, 4), (11, −3)}
Answer:
Both of them are functions...
Step-by-step explanation:
Both of them are functions because neither A nor B has a repeated X value in their sets.
Answer:
C
Step-by-step explanation:
They both have different input and output
what is the correct value of x in the equation 2x + 3= 6
Answer:
x=(3/2) OR 1.5
Step-by-step explanation:
2x+3=6
2x=6-3
2x=3
x=(3/2) OR 1.5
Answer:
x=1.5
i hope this help :3 mark brainliest please!
thank you! <3
Whats the slope of the line shown in the graph?
Answer:
3/2
Step-by-step explanation:
I know this answer is correct, because I did it on edge.
Antonio purchased adult and child tickets for the fair tickets cost $29.35 for each adult and $17.45 for each child let’s X represent the number of adult tickets purchased and Y represent the number of children tickets purchased right expression to represent the total cost of the tickets Atonio purchased
Answer:
29.35x+17.45y
Step-by-step explanation:
the adult tickets are 29.35 dollars and are represented as x. then multiply them. the child tickets are 17.45 dollars and are represented as y. multiply them too. then add them but don't put an equal sign. now that's an expression.
Please HELP!!! WILL MARK BRAINLIEST!!!
Answer:
B
Step-by-step explanation:
Very easy its B!
Answer:
it's b
Step-by-step explanation:
hope that it helped you
Solve the system of equations by substitution:
y= x - 2
x+y=12
A. (7,5)
B. (5,3)
C. (0, 1)
D. (14, 12)
Answer:
y=x-2so ...x+(x-2)=12
2x-2=12
2x=12+2
2x=14
x=14/2
x=7
x+y=12
7+y=12
y=12-7
y=5
i think its six but you know points for u
Answer:
6 makes the most sense
Step-by-step explanation:
UwU
If Bryson had 1/4 of g pie, and he wanted to split il
four different ways for his friends, how much pie
would each friend get?
HELP
Answer:
1/16
Step-by-step explanation:
Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16
in the figure given alongside find angle ACD angle ADC and angle DAE
PLZ JUST GIVE ANSWER IDC ABOUT EXPLANATION
Answer:
f(1) = 1
General Formulas and Concepts:
Pre-Algebra
Reading a Cartesian PlaneEvaluating functions from a graphStep-by-step explanation:
f(1) is x = 1. The question is asking for the y-value, or f(x) value, when x = 1.
According to the graph, when x = 1, y = 1.
Therefore, f(1) = 1.
!!!!!Please Help Answer These!!!!!!
6x + 3y = 12 (solve for y)
10x - 5y = 10 (solve for y)
2x - y = 2 (solve for y)
3(1 - 3x) = 2( -4x + 7) what is the value of x
Answer:
y = 4 - 2x
y = -2 + 2x
y = -2 + 2x
x = 11
pease tell me if I got them wrong
Which of the following capital letters is a reflection image of itself across a horizontal line?
Answer:
H is the reflection of itself in the horizontal line
Answer:
A is a reflection across the vertical
What is the slope of the line that goes through the points (-1,4) and (14,-2)?
Answer:
hi! so we have 2 points right? you will need to use something called the slope formula y2-y1/x2-x1 we're subtracting our y values of both points and x values of both points while dividing them this gives us a slope of a line
now I want you to label before you do this in your head! it can get confusing to think about it so label label (x1-1,y1 4) (x2 14,y2 -2) now you have them labeled this parts easy! use the formula -2-4/14--1 okay now use your calculator you get -2/5 and now you have your m or slope!
memorize y2-y1/x2-x1 now! it will save you!
Step-by-step explanation:
Answer:
-2/5 is the answer
PLEASE HELP MEE
can someone tell me the answer?
The answer is ::::::;0