Answer:
He spent 144.42 and he got back 55.58
Step-by-step explanation:
Elena wants to buy a jacket that is originally priced at x dollars.
The price of the jacket is discounted by 30%.
The expression that represents its
discounted price is 0.7x.
Which of the following expressions represents another way to show the discounted price of the jacket?
Answer:
Step-by-step explanation:
If 0.7x represents the discounted price, then another way to show this is:
x+70%
[tex]\frac {a} {x} = \frac {70} {100}[/tex]
x-30%
x÷0.3
(x+12) (3x+2)
Find the value of X
Step-by-step explanation:
Equation at the end of step 1
(3x2 - 38x) + 24 = 0
STEP2:Trying to factor by splitting the middle term
2.1 Factoring 3x2-38x+24
The first term is, 3x2 its coefficient is 3 .
The middle term is, -38x its coefficient is -38 .
The last term, "the constant", is +24
Step-1 : Multiply the coefficient of the first term by the constant 3 • 24 = 72
Step-2 : Find two factors of 72 whose sum equals the coefficient of the middle term, which is -38 .
-72 + -1 = -73 -36 + -2 = -38 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -36 and -2
3x2 - 36x - 2x - 24
Step-4 : Add up the first 2 terms, pulling out like factors :
3x • (x-12)
Add up the last 2 terms, pulling out common factors :
2 • (x-12)
Step-5 : Add up the four terms of step 4 :
(3x-2) • (x-12)
Which is the desired factorization
Equation at the end of step2:
(x - 12) • (3x - 2) = 0
STEP3:Theory - Roots of a product
3.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
3.2 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Solving a Single Variable Equation:
Step-by-step explanation:
[tex]if \: (x + 12) = (3x + 2) \\ 12 - 2 = 3x - x \\ 2x = 10 \\ x = 5 \\ \\ \\ if(x + 12)(3x + 2) = 0 \\ x + 12 = 0 \: \: \: or \: \: \: 3x + 2 = 0 \\ x = - 12 \: \: \: or \: \: \: x = - \frac{2}{3} [/tex]
What is the slope of this line??
A pizza restaurant charges a flat fee for a plain cheese pizza. There is an extra charge for any additional toppings. The cost of a pizza can be determined from the equation c=0.5m+5, where M is the number of additional toppings and see is the cost of the pizza ordered. What are the interpretations of slope and Y intercept in the equation?
Answer:
The y-intercept is the flat fee for the pizza - $5. The slope is the charge for each additional topping - $.50
Step-by-step explanation:
c=.5m+5
y=mx+b - slope intercept formula
In the slope-intercept formula, the 'b' is the y-intercept. We know that would be the flat fee because there is no variable attached to it.
In that formala, m is the slope and is attached to a variable, x. This problem uses the variable m instead of x, but we can see that the slope for .5m would be .5. Thus, that's the charge for the toppings. Hope that helps!
is 7.2 a negative number?
Answer:
no
Step-by-step explanation:
unless it has a - in front of it no
Answer:
no
Step-by-step explanation:
a+c=r- d Solve for a .
A a =p+d-c
B
a=c+p-d
C a = d+r+c
D a=r-d-c
Answer:
D
Step-by-step explanation:
a + c = r - d
a = r - d - c
what is 3/2=9/10k im having troble lots rly
Answer:
k= 5 over 3 =1.667
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3)/(2)-((9)/(10)*k)=0
simplify 9/10
3 9
— - (—— • k) = 0
2 10
simplify 3/2
3 9k
— - —— = 0
2 10
Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 10
Least Common Multiple:
10
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 1
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 10
R. Mult. • R. Num. 9k
—————————————————— = ——
L.C.M 10
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (9k) 15 - 9k
———————————— = ———————
10 10
Pull out like factors :
15 - 9k = -3 • (3k - 5)
-3 • (3k - 5)
————————————— = 0
10
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-3•(3k-5)
————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-3 • (3k-5) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : 3k-5 = 0
Add 5 to both sides of the equation :
3k = 5
Divide both sides of the equation by 3:
k = 5/3 = 1.667
one solution was found
k = 5/3 = 1.667
hope it helps sry its so long
Rafael can choose plan a or Plan B for his long-distance charges. For each plan, cost (in dollars) depends on minutes used (Per month) as shown below.
Answer:
a. Plan B; $4
b. 160 mins; Plan B
Step-by-step explanation:
a. Cost of Plan A for 80 minutes:
Find 80 on the x axis, and trave it up to to intercept the blue line (for Plan A). Check the y axis to see the value of y at this point. Thus:
f(80) = 8
This means Plan A will cost $8 for Rafael to 80 mins of long distance call per month.
Also, find the cost per month for 80 mins for Plan B. Use the same procedure as used in finding cost for plan A.
Plan B will cost $12.
Therefore, Plan B cost more.
Plan B cost $4 more than Plan A ($12 - $8 = $4)
b. Number of minutes that the two will cost the same is the number of minutes at the point where the two lines intercept = 160 minutes.
At 160 minutes, they both cost $16
The plan that will cost less if the time spent exceeds 160 minutes is Plan B.
60 people attend a game night. Everyone chooses to play chess, a two-player game, or cribbage, a four-player game. All 60 people are playing either chess or cribbage.
There are 3 more games of cribbage being played than games of chess being played. How many of each game are being played
Answer: 8 chess matches and 11 cribbage matches.
Step-by-step explanation:
60 people, 4 people play a match of cribbage, so if theres 3 more matched than chess we can subtract that from the total 60 to get the answer. 3x4=12 60-12=48, 2 people per chess game and 4 people per cribbage game add them 6, 48 divided by 6 since its an even amount now, 48/6=8 add 8 matched to the remaining 3 for the cribbage.
8 chess games are being played while 11 cribbage games are being played.
Let x represent the number of chess games and y represent the number of cribbage games.
Since there are 60 people, chess is a two-player game and cribbage is a four-player game, hence:
2x + 4y = 60 (1)
There are 3 more games of cribbage than games of chess, hence:
y = x + 3
-x + y = 3 (2)
Solving equations 1 and 2 simultaneously gives:
x = 8, y = 11
Therefore 8 chess games are being played while 11 cribbage games are being played.
Find out more at: https://brainly.com/question/21105092
Find the difference:
(9.31 x 105) – (4.2 x 105)
Answer:
536.55x
Step-by-step explanation:
I hope this helps :)
If x=3 y=-5 and z=-2 what is 90xyz ➗xy? PEMDAS PLEASE HELP! :(
Step-by-step explanation:
90×3×-5×-2/3×-5
2700/-15
-180
The sum of 2 negative integers is always negative
True or false and why?
A sociologist randomly selects single adults for different groups of three, and the random variable x is the number in the group who say that the most fun way to flirt is in person. Determine whether a probability distribution is given. If a probability distribution is given, find its mean and standard deviation. If a probability distribution is not given, identify the requirements that are not satisfied. x P(x) 0 0.087 1 0.344 2 0.415 3 0.154
Answer:
Yes the table shows a probability distribution
The mean is [tex]E(X) = 1.636 [/tex]
The standard deviation is [tex]\sigma = 0.845 [/tex]
Step-by-step explanation:
From the question we are told that
The data given is
x 0 1 2 3
P(x) 0.087 0.344 0.415 0.154
Generally we can evaluate [tex]P(x) * x[/tex] as
[tex]P(x) * x[/tex] 0 (1 * 0.344 ) (2 * 0.415) (3 * 0.154 )
=> [tex]P(x) * x[/tex] 0 0.344 0.830 0.462
Generally we can evaluate [tex]P(x) * x^2 [/tex] as
[tex]P(x) * x^2 [/tex] 0 [tex ](1^2 * 0.344 )[/tex] [tex ](2^2 * 0.415)[/tex] [tex ](3^2 * 0.154 )[/tex]
=> [tex]P(x) * x^2 [/tex] 0 [tex] 0.344 [/tex] [tex ]1.66 [/tex] [tex]1.386[/tex]
Generally the mean is mathematically represented as
[tex]E(X) = \sum [x* P(x)][/tex]
[tex]E(X) = 0 + 0.344+ 0.830+0.462 [/tex]
[tex]E(X) = 1.636 [/tex]
Generally the standard deviation is mathematically represented as
[tex]\sigma = \sqrt{V(X)}[/tex]
Here [tex]V(X)[/tex] is the variance which is mathematically represented as
[tex]V(X) = [E(X^2) ]- [E(X)]^2[/tex]
Here
[tex]E(X^2) = \sum [x^2 * P(x)][/tex]
[tex]E(X) =0 +0.344+1.66+1.386 [/tex]
[tex]E(X) = 3.3900 [/tex]
So
[tex]V(X) = 3.3900 - [1.636]^2[/tex]
[tex]V(X) = 3.3900 - 2.6764[/tex]
[tex]V(X) = 0.7136[/tex]
So
[tex]\sigma = \sqrt{0.7136}[/tex]
[tex]\sigma = 0.845 [/tex]
How do I solve 6(5 - 2x) + 12 = -66?
Answer:
x = 9
Step-by-step explanation:
Step 1: Write equation
6(5 - 2x) + 12 = -66
Step 2: Solve for x
Distribute 6: 30 - 12x + 12 = -66Combine like terms: 42 - 12x = -66Subtract 42 on both sides: -12x = -108Divide both sides by -12: x = 9Step 3: Check
Plug in x to verify it's a solution.
6(5 - 2(9)) + 12 = -66
6(5 - 18) + 12 = -66
6(-13) + 12 = -66
-78 + 12 = -66
-66 = -66
Answer:x = 9/12
Step-by-step explanation:
It cost Benjamin $1.35 to send 9 text messages. How much would it cost to send 118 text messages?
Hi!
Your answer would be: $159.03.
Reason Being: $1.35 times 118 equals $159.03.
Hope this helps!
(8.5 times 10^3)(1.1 times 10^1)
Answer:
93,500 or 9.35 x 10^4
Step-by-step explanation:
(8.5 x 10^3)(1.1 x 10^1)
8,500 x 11
8,000 x 10 = 80,000
8,000 x 1 = 8,000
500 x 10 = 5,000
500 x 1 = 500
93,500 or 9.35 x 10^4
Find the equation of the line that has a slope of -½ and passes through the point (-6,9)
Answer:
y = -1/2x +6
Step-by-step explanation:
We can use the slope intercept form of a line
y = mx+b where m is the slope and b is the y intercept
y = -1/2x +b
Substitute the point into the equation
9 = -1/2 (-6) +b
9 = 3+b
9-3 =b
6 =b
y = -1/2x +6
Does anyone know the answer??
Answer:
no
Step-by-step explanation:
Solve for y; 1/y = a/w + w/a
Answer:
y = aw/(a^2 + w^2)Step-by-step explanation:
Given
1/y = a/w + w/aSolving for y
1/y = a/w + w/a1/y = (a^2 + w^2)/awy = aw/(a^2 + w^2)which pair of triangle can be proven congruent by the AAS theorem?
Answer:
The answer would be QRTS.
Step-by-step explanation:
For the function f, f(-8) = 7, and f(7) = 12. If y = f(x), what is the value of y when x = 7?
Answer:
12
Step-by-step explanation:
x is almost always the number in the parentheses. y is always the answer. Hope this helps!
Error Analysis A store is instructed by corporate headquarters to put a markup of 43% on all
items. An item costing $7 is displayed by the store manager at a selling price of $3. As an
employee, you notice that this selling price is incorrect. Find the correct selling price. What was the
manager's likely error?
The correct selling price is $0 (Round to the nearest dollar as needed.)
Answer:
$10
Step-by-step explanation:
To calculate markup, you take you cost and then multiply it by the markup percentage (in decimal form), then add that number to the original cost. So the formula will look like this.
Selling Price = Cost + (Cost X Markup Percentage)
Let's use X to be the selling price you are looking for.
X = $7 + ( $7 x 0.43) 0.43 is the decimal value of 43 percent
Work on the numbers in parentheses first:
$7 x 0.43 = $ 3.01
now add that to the original cost:
$7 + $ 3.01 = $ 10.01
Round to the nearest dollar and you have $10.
The manager made the mistake of multiplying the markup percentage and the original cost.
$7 x 0.43 = $ 3.01
He subtracted the markup instead of adding it to the original cost.
you buy a rack of 40 cds you have 23 cd
Answer:
um... what.
WHAT'S THE QUESTION
bruuh
bruh
Step-by-step explanation:
Below is a diagram of Hillcrest High School. The english and math buildings are congruent rectangles. The art building is a square. The total perimeter of Hillcrest High school’s building is 1,718 feet. Find the value of x. Find the missing perimeters for the buildings.
1. Find the value of x.
2. Find the missing perimeters for the buildings.
3. What is the area of the English building? (plug in your x value!)
Answer/Step-by-step explanation:
1. Perimeter of the building = sum of all the length of the outer borders surrounding the building = 1,718 ft
Thus:
4x - 6 + 2x + 3x + 2(3x + 4) + 3x + 2x + x + x + x + 2x + 4x - 6 + 2(3x + 4) + 4x - 6 + 3x = 1,718
Open the Parentheses
4x - 6 + 2x + 3x + 6x + 8 + 3x + 2x + x + x + x + 2x + 4x - 6 + 6x + 8 + 4x - 6 + 3x = 1,718
Combine like terms
42x - 2 = 1,718
42x = 1,718 + 2
42x = 1,720
x ≈ 41
2. Missing perimeter of Building = 2x + 2x + 4x - 6
Simplify
= 8x - 6
Plug in the value of x
= 8(41) - 6
= 322 ft
3. Area of English Building = length * width
= (4x - 6 + 2x)(3x)
Simplify
= (6x - 6)(3x)
Plug in the value of x
= (6(41) - 6)(3(41))
= (246 - 6)(123)
= (240)(123)
= 29,520 ft²
I have no idea what the answer is please help soon
3a^4b^3
This is the answer
What is 60+(-30)+40-80
60-30=30×40=70-80=-10
if the number of negatives are even they are always positive. if the number is odd of negatives. it always is negative. -- = + --- =-
✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽
➷ [tex]\boxed{-10}[/tex]
[tex]60+(-30)+40-80[/tex]
[tex]= 30 + 40 - 80[/tex]
[tex]= 70 - 80[/tex]
[tex]= -10[/tex]
✽
➶ Hope This Helps You!
➶ Good Luck (:
➶ Have A Great Day ^-^
↬ May ♡
Nah can buy 20 balloons for $5.00. what is the price for 9 balloons?
Answer:
0.25 cents is the answer
Answer: 25 cents
Step-by-step explanation:
The table shows four account transactions. Find the account balance after the transactions when the account started with a balance of
$125
deposit
$50
deposit
$35
withdrawal -$70
withdrawal -$50
Answer:
5
Step-by-step explanation:
The account balance after transactions will be $90.
What is Addition?
A process of combining two or more numbers is called addition.
Given that;
The account started with a balance of $125 and
deposit $50,
deposit $35
withdrawal -$70
withdrawal -$50
Now,
Deposit in account means to add the amount and withdrawal means to remove money from account.
Since, The account started with a balance of $125.
After deposit $50,
The account balance = $125 + $50 = $175
Again after deposit $35;
The account balance = $175 + $35 = $210
After withdrawal -$70;
The account balance = $210 - $70 = $140
Again after withdrawal -$50;
The account balance = $140 - $50 = $90
Thus, The account balance after transactions will be $90.
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A squirrel burrowed 12 holes in 3 minutes. How many holes could the squirrel burrow in 12 minutes? Submit Answer
What is the HCF of 4,8 and 20
Answer
4 is the answer
Step-by-step explanation:
The HCF of 4,8,20 is 4
