If 4 notebooks and 3 packages of pens cost $7.43 and 5 notebooks and 2 packages of pens cost $7.03, what is the price of 1 notebook?
A) $0.89
B) $0.79
C) $1.29
D) $1.09
5(4x + 3y) = $7.43 × 5
or, 20x + 15y = $37.15 ...(3)
Multiply equation (2) with 4, we get4(5x + 2y) = $7.03 × 4
or, 20x + 8y = $28.12 ...(4)
Subtract (4) from (3), we have20x + 15y-(20x + 8y) = $37.15 - $28.12
or, 7y = $9.03
or, y = $1.29
4x + 3y = $7.43or, 4x + 3($1.29) = $7.43
or, 4x + $3.87 = $7.43
or, 4x = $7.43 - $3.87
or, 4x = $3.56
or, x = $0.89
Answer:
A) $0.89
Hope you could get an idea from here.
Doubt clarification - use comment section.
What is an expression for five less than y
Answer:
y - 5
Step-by-step explanation:
Answer:
y - 5
Step-by-step explanation:
To translate statements into expressions, we have to look for key terms. In this case, one key term is "five less." Five less means to subtract 5 from a certain quantity. When it says "five less than y," we're taking five away from y. In numerical form, it can be written as: y - 5.
Therefore, the expression is y - 5.
Order the expressions by choosing >,
Answer:
1. 3^4 x 3^3 < 3^12
2. 3^3 x 4^3 < 12^4
3. 3^4 x 4^3 > 12^3
solve the algebraic equation below
(9x2x2+6x+5)+(3x2-5x-9)
Answer:
x+38
Step-by-step explanation:
ok so try to understand my explaination!
it goes by simplifying one by one :)
(18*2+6x+5)+(3*2-5x-9)
(41+6x)+(-3-5x)
41+6x-3-5x
41-3=38
6x-5x=(1)x
x+38
try to understand, im not amazing at explaining :)
Find f(-2) if f(x)= x^2 + 8x
Answer:
f(-2) = -12
Step-by-step explanation:
f(x)= x² + 8x
We want to find f(-2)
f(-2) = (-2)² + 8(-2)
Apply exponent : (-2)² = 4
f(-2) = 4 + 8(-2)
multiply 8 and - 2 : 8 * -2 = -16
f(-2) = 4 - 16
subtract 16 from 4 : 4 - 16 = -12
f(-2) = -12
Step-by-step explanation:
f(x) = x² + 8xf(-2) = (-2)² + 8(-2) = 4 - 16 = -12
Jamal finds some dimes and quarters in his change purse. How much money (in dollars) does he have if he has 9 dimes and 4 quarters? How much money (in dollars) does he have if he has xx dimes and yy quarters?
Answer:
$1.90
10xx+25yy cents
Step-by-step explanation:
9 dimes (10 cents each) = 90 cents = 0.9 dollars
4 quarters (25 cents each) = 100 cents = 1 dollar
Making $1.90
xx dimes (10 cents each) = 10xx cents
yy quarters (25 cents each) = 25yy cents
Making 10xx+25yy cents in total I believe..
Hope this helps :)
Hey! Please help me ASAP
Answer:
-d+3.5≥4
Step-by-step explanation:
Just ask.
Hope this helps! :)
Solve three tenths times five sevenths.
fifteen seventieths
twenty seventieths
eight seventeenths
fifteen seventeeths
Answer:
15/70 is the answer
Step-by-step explanation:
3/10 x 5/7
3x5=15 and 10x7=70
As a result, the answer to the question is 15/70
Thank you for reading! It is my hope that you will find it helpful in some way!
You rent an apartment that costs
$
800
$800 per month during the first year, but the rent is set to go up 12.5% per year. What would be the rent of the apartment during the 10th year of living in the apartment? Round to the nearest tenth (if necessary).
Answer:
2,309.2
This could be wrong but I'm pretty sure it's right
Beard bought 10 acres of land.She plans to divide the land into smaller lots that are each 1/20 of an acre.How many smaller lots will she have.
Answer:She will have:
N = 200 smaller lots
Step-by-step explanation: N = (total acres of land) / (smaller lots of land)
Substituting the values we have:
N = 10 / (1/20)
Rewriting we have:
N = 10 * 20
N = 200 lots
2. Felicia took out a simple interest loan at 12 percent interest for 6 months. Her previous balance is $2,460,
What is the final payment if the loan is paid off with the next payment?
Answer:
Answer:
28+66+86=180
180=180
Step-by-step explanation:
Since there is a triangle and the 3 measures from the angles we can find the value of x using the hint given that the sum of the interior angles must be 180°
Write the equation
\begin{gathered}x+(2x+10)+(3x+2)=180\\\end{gathered}
x+(2x+10)+(3x+2)=180
Simplify left side of the equation
\begin{gathered}6x+12=180\\\end{gathered}
6x+12=180
Solve equation for x
\begin{gathered}6x=180-12\\6x=168\\x=28\end{gathered}
6x=180−12
6x=168
x=28
Replace x into the 3 angles and find their respectives values
\begin{gathered}A=x\\A=28\\\\B=2x+10\\B=2*28+10\\B=56+10\\B=66\\\\C=3x+2\\C=84+2\\C=86\end{gathered}
A=x
A=28
B=2x+10
B=2∗28+10
B=56+10
B=66
C=3x+2
C=84+2
C=86
Check if the answers are correct
\begin{gathered}28+66+86=180\\180=180\end{gathered}
28+66+86=180
180=180
PLEASE MARK ME AS BRAINLIEST
300 milliliters per 'minute = ?
liters per hour
Answer:
300 millilters per min = 18 liters per hour
Step-by-step explanation:
Which of the following is equal to 42.736 ? Select all that apply
Answer:
sorry but i need more information on the question to answer it.
Step-by-step explanation:
Hope this helps you!
Write the equation of the line graphed below in the form y = mx + b
Answer:
y= -1/4x + 2
Step-by-step explanation:
so basicly find the slope first which is "m"
to do that do rise/run or do y2-y1/x2-x1
rise over un in this case is -1/4
slope is negative so its -1/4 = m
that find y intercept which is "b"
in this case its 2
then put it in formula
y=mx+b
y= -1/4x + 2
Triangle ABC is translated left 1 units, and dilated by a scale factor of 2.
Write in the coordinates of vertices A'B'C'.
Answer:
A' (4,4) B' (0,0) C' (4,0)
Step-by-step explanation:
A (3,2) B (1,0) C (3,0)
Translated left 1 unit: A'' (2,2) B'' (0,0) C'' (2,0)
dilated about origin (0,0) by scale factor of 2: A' (4,4) B' (0,0) C' (4,0)
) f) 1 + cot²a = cosec²a
Answer:
It is an identity, proved below.
Step-by-step explanation:
I assume you want to prove the identity. There are several ways to prove the identity but here I will prove using one of method.
First, we have to know what cot and cosec are. They both are the reciprocal of sin (cosec) and tan (cot).
[tex]\displaystyle \large{\cot x=\frac{1}{\tan x}}\\\displaystyle \large{\csc x=\frac{1}{\sin x}}[/tex]
csc is mostly written which is cosec, first we have to write in 1/tan and 1/sin form.
[tex]\displaystyle \large{1+(\frac{1}{\tan x})^2=(\frac{1}{\sin x})^2}\\\displaystyle \large{1+\frac{1}{\tan^2x}=\frac{1}{\sin^2x}}[/tex]
Another identity is:
[tex]\displaystyle \large{\tan x=\frac{\sin x}{\cos x}}[/tex]
Therefore:
[tex]\displaystyle \large{1+\frac{1}{(\frac{\sin x}{\cos x})^2}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{1}{\frac{\sin^2x}{\cos^2x}}=\frac{1}{\sin^2x}}\\\displaystyle \large{1+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}[/tex]
Now this is easier to prove because of same denominator, next step is to multiply 1 by sin^2x with denominator and numerator.
[tex]\displaystyle \large{\frac{\sin^2x}{\sin^2x}+\frac{\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}}\\\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}[/tex]
Another identity:
[tex]\displaystyle \large{\sin^2x+\cos^2x=1}[/tex]
Therefore:
[tex]\displaystyle \large{\frac{\sin^2x+\cos^2x}{\sin^2x}=\frac{1}{\sin^2x}\longrightarrow \boxed{ \frac{1}{\sin^2x}={\frac{1}{\sin^2x}}}[/tex]
Hence proved, this is proof by using identity helping to find the specific identity.
Which number is an integer?
-34 -0.4 0.4 3.4 PLS HELP I'M TIMED EDGE 2020
Answer:
Step-by-step explanation: The four numbers: - 34, -0.4, 0.4, 3.4
so if you look at it it The answer is -34
Answer:
-34
Step-by-step explanation:
this is because an integer is a negative or positive whole number, and in this case, -0.4, 0.4 and 3.4 are decimal numbers
x - 3y = 17
x = 2y + 13
What are the steps for solving these?
Answer:
(x, y) = (5, -4)
Step-by-step explanation:
The second equation gives you an expression for x that can be substituted into the first equation.
(2y +13) -3y = 17 . . substitute for x in the first equation
-y = 4 . . . . . . . . . . . subtract 13 and simplify
y = -4
x = 2(-4) +13 = 5 . . . use the second equation to find the value of x
The solution is (x, y) = (5, -4).
_____
Additional comment
When faced with a system of linear equations, the first step is to look at them and observe where the variable terms are, and any relationships between coefficients. Several options are generally open to you for solving the equations. Methods generally taught first are ...
substitutioneliminationSubstitution is handy when one of the variables or variable terms can be written (easily) in terms of the other variable. Elimination is handy when some simple multiple of one of the equations can be added to the other equation to cancel one of the variable terms (eliminate it).
Other available methods include matrix methods, Cramer's rule, and graphing. Working knowledge of all of these methods will help you identify the one that will be easiest to use in any given situation.
The availability of calculators able to use these methods greatly simplifies the task of finding a solution. It is simply a matter of entering the equations in the appropriate form.
One of my favorites is the graphing calculator, which only requires you type in the given equations and click on the solution point to find its coordinates.
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
I NEED SOME HELP WITH SOME MATH ASSIGNMENTS ANYONE WILLING TO HELP ?
Angle a and angle b are supplementary angles. if measure angle A=(2x-14)degree and m angle B= (3x-6) degree, then find measure of angle A
we have: ∠A + ∠B = 90°
<=> (2x-14) + (3x-6) = 90° <=> 2x - 14 + 3x - 6 = 90°
<=> 5x + 20 = 90°
<=> 5x = 70°
<=> x = 14°
So: ∠A = 2x - 14 = 2.14 - 14 = 14°
Ok done. Thank to me :>
Which of the following is the best definition of vertical angles?
Vertical angles are angles formed by two intersecting lines.
Vertical angles are formed by intersecting a vertical and horizontal line.
Vertical angles are a pair of non-adjacent angles formed by two intersecting lines.
Vertical angles are a pair of congruent angles with a vertical line of symmetry.
Step-by-step explanation:
Very quick and effortless example of vertical angles in the attached image. When 2 straight lines intersect, the 2 angles opposite each other at that point are vertical angles, and they are always congruent.
I'd say it's the 3rd option:
"Vertical angles are a pair of non-adjacent angles formed by two intersecting lines."
but any of the first three could be technically true really. Adjacent angles are 2 angles that share a side, and vertical angles cannot share one.
What is the range of the relation?
Answer:b is the answer
Step-by-step explanation:
Which inequality represents this statement?
A number is at least 12.
n>12
n≤12
n≥12
n<12
Answer:
bbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
Answer: n≥12
hope this helps
Solve for X and Y thank u!
Answer:
I did most of the work 4 u :3
Step-by-step explanation:
Just do the last question
HOPE THIS HELPED :DDDDDDD
100 POINTS + WILL MARK YOU BRAINLY PLEASE HELP
a) Create a scatter plot displaying the data in the table. Be sure to include a linear trend line.
(only answer if you know the answer)
Answer:
The scatter plot is in the picture attached
a bag contains colored tils 3 tiles are red 6 tiles are green 3 tiles are blue a tile will be randomly selected from the bag what is the probabillities in decimal from that the tile selected will regreate
Answer:
By:Parrain
Step-by-step explanation:
The probability that the selected tile will be green is 0.5.
The probability that a tile will be green can be calculated by the formula:
= Number of green tiles / Total number of tiles
Total number of tiles is:
= 3 + 6 + 3
= 12 tiles
Probability of picking green tile is therefore:
= 6 / 12
= 50%
= 0.50
The probability of picking a green tile is 0.50
In a certain poultry farm,on average every 8 chickens lay 144 eggs per week.In five weeks the chickens laid 2880 eggs.How many chickens are in the farm? A.18. B.32. C.160. D576
Answer:
C
Step-by-step explanation:
Which statement about the slope of the line is true?
It is −2 throughout the line.
It is fraction negative 1 over 2 throughout the line.
The slope from point O to point A is one-half times the slope of the line from point A to point B.
The slope from point O to point A is two times the slope of the line from point A to point B.
Explanation:
Let's say we started at point B (-6, 3). To get to point A(-4,2), we move down 1 and to the right 2. This movement determines the slope.
slope = rise/run = -1/2
rise = -1 and run = 2
A negative rise value means we go downhill when moving to the right.
Evaluate the expression for u = -15.
-2(-12 – u) =
Answer:
-6
Step-by-step explanation:
-2(-12 - u )
u = -15
-2 ( -12 - (-15))
remove parenthesis.
-2 ( -12 + 15 )
add -12 and 15
-2 ( 3 )
multiply -2 and 3
= -6
Step-by-step explanation:
u = -15-2(-12 - u) = -2(-12 + 15) = -2(3) = -6