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Related Questions
A line passes through the points (-8,-4) and has a slope of 5/4.
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Greg went to Bed Bath and Beyond to buy Christmas gifts for his family this year. In his first trip he bought 4 candles, 5 wallflowers, and 6 lotions for a total of $123. Greg forgot some people on his list the first time so he makes a second trip and spent $48 to buy 2 candles, 3 wallflowers, and 1 lotion. The price of a lotion is 2 less than 2 times the price of a wallflower. How much does each item cost?
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Answer:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
Step-by-step explanation:
Let cost of a candle = [tex]x[/tex]
Let cost of a wallflower = [tex]y[/tex]
Let cost of a lotion = [tex]z[/tex]
Cost of 4 candles = 4[tex]x[/tex]
Cost of 5 wallflowers = 5[tex]y[/tex]
Cost of 6 lotions = 6[tex]z[/tex]
Cost of 2 candles = 2[tex]x[/tex]
Cost of 3 wallflowers = 3[tex]y[/tex]
Cost of 1 lotion = [tex]z[/tex]
As per question statement:
[tex]4x+5y+6z=123 .... (1)\\2x+3y+z=48 ...... (2)\\z=2y-2 ..... (3)[/tex]
Using equation (3) in (1) and (2), the equations get reduced to :
[tex]\Rightarrow 4x+17y = 135 ..... (4)\\\Rightarrow 2x+5y = 50 ..... (5)[/tex]
Multiplying (5) with 2 and subtracting from equation (1):
[tex]7y = 35\\\Rightarrow y = 5[/tex]
By equation (3):
[tex]\Rightarrow z =8[/tex]
By equation (4):
[tex]\Rightarrow x = 12.5[/tex]
Therefore, the answer is:
Price of Candle: 12.5
Price Wallflower: 5
Price of Lotion: 8
help please i’ll give brainlest and lots of points
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Answer:
1+1=2 so that's the answer
What is the slope of the line do the point for me to?
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Answer:
Step-by-step explanation:
we can see that the line goes thru the point (-1,2) and (4,-2) now to find slope we just find change in y over change in x
more visually:
(y1-y2)/(x1-x2)
so for the point (-1,2) let’s say
-1 = x1
and
2 = y1
and for the point (4,-2) let’s say
4 = x2
and
-2 = y2
to find slope we plug in the values to our slope equation and we get this:
(2-(-2))/( -1-4)
(2+2)/-5
4/-5
so slope is -4/5
because to get from (-1,2) to (-4,-2) you have to move down 4 and to the right 5
What is the quotation (-3)^0/(-3)^2
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Hey there!
(-3)^0 / (-3)^2
(-3)^0 = 1 ⬅️ Numerator
(-3)^2 = (-3)(-3) = 9 ⬅️ Denominator
Answer: 1/9 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Hannah buys 13 bottles of orange juice at the corner store for a total of $13.65. if each bottle cost the same amount, how much is each bottle of juice
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Is it scaling isosceles or equilateral and what is the answer
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Answer:
[tex]scalene[/tex]
Step-by-step explanation:
[tex]\textsf{Sum of internal angles;}[/tex]
[tex]71+50+6x-1=180[/tex]
[tex]6x-1=180-71-50[/tex]
[tex]6x-1=59[/tex]
Considerando las siguientes variables a = ancho y l = longitud, determina su valor, si se sabe que se cuenta con un rectángulo que tiene como perímetro 35 metros, y se sabe que el doble de su ancho es igual a 3 veces su longitud.
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Answer:
La longitud = 7 metros
La anchor = 10.5 metros
Step-by-step explanation:
La fórmula para el perímetro de un rectángulo es
P = 2L + 2W
L = longitud
A = ancho
P = 35 metros
se sabe que el doble de su ancho es igual a 3 veces su largo.
2A = 3L
Ancho = 3L / 2 = 1.5L
Sustituimos 1.5L por W
35 = 2 L + 2 (1.5 L)
35 = 2L + 3L
35 = 5 litros
L = 35/5
L = 7 metros
Por lo tanto, la longitud = 7 metros
Recuerda
A = 1.5 L
A = 1.5 × 7
A = 10.5 metros
La anchor = 10.5 metros
Solve for z. 2z − 3 = 1
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Answer:
z = 2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
2z - 3 = 1
Step 2: Solve for z
Add 3 on both sides: 2z = 4Divide 2 on both sides: z = 2Mr. M has a recipe for sourdough bread. He uses 8/3 cups of flour to make 2 loaves of sourdough bread. If you were to follow the same recipe, which equation would work for making y loaves of bread with x cups of flour?
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Answer:
2y=8/3x
Step-by-step explanation:
[tex] - 20x - 5[/tex]
what does equal
[tex]x[/tex]
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hello can anyone help me ? here the question
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Answer:
A. 1/5k - 2/3j and -2/3j +1/5k
Step-by-step explanation:
A. 1/5k - 2/3j and -2/3j +1/5k
B. 1/5k - 2/3j and -1/5k +2/3j
There is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
Not equivalent
C. 1/5k - 2/3j and 1/5j - 2/3k
There is a change in the variables
1/5k changed to 1/5j
-2/3j changed to -2/3k
D. 1/5k - 2/3j and 2/3j - 1/5k
The is a change in the signs of each term
1/5k changed to -1/5k
-2/3j changed to +2/3j
The only equivalent expression is
A. 1/5k - 2/3j and -2/3j +1/5k
what isvequivalent to y=23x−6?
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Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
The length of the deck is 3 times it’s width. If the decks perimeter is 16 ft what is the decks area
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Answer:
12 ft²Step-by-step explanation:
Givenl = 3wP = 16A = ?SolutionUse perimeter formula
P= 2(l + w) = 2(w + 3w) = 8wFind width:
8w = 16 ⇒ w = 2 ftFind length:
l = 3*2= 6 ftFind area:
A = lw = 6*2 = 12 ft²If you ask a question will the points given ne deducted from your points
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Answer:
I think so yeah. not sure though
Answer:
I think I kinda get this question but can you be a little more...Specific?
Step-by-step explanation:
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
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Answer:
15 ft
Step-by-step explanation:
A=LxW
135 ft2 =m X 9ft
Divide 135 by 9
& that equals 15ft.
To check your answer, you multiply 15X9 and that equals 135. So the length of the rectangle is 15ft.
Pls someone help me!
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Answer:
When present,outliers will have an effect of the range since one of the outliers will either be highest or lowest number in a given data set and the range is found by finding the difference of the highest and lowest numbers.
A bag contains only red, blue and green counters.
There are 120 counters in the bag.
The probability of choosing a red counter is ¼ and the probability of choosing a blue
counter is 0.2
How many green counters are in the bag?
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Answer:
Step-by-step explanation:
Answer:
66
Step-by-step explanation:
Red counters: 120/4=30
Blue counters:120/5=24
Green counters:30+24=54, 120-54=66
Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)
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Answer:
y= 1/4 x +7
Step-by-step explanation:
The slope intercept form of a line is
y = mx + b where m is the slope and b is the y intercept
the slope is 1/4 and the y intercept is 7
y= 1/4 x +7
A freezer can be bought on hire purchase by making a desposiy of 15% of the cash price which is $2975 the interest which is 20% of the outstanding balance is charged the amount payable is paid in 12 monthly instalements.Calculate the freezer
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Answer: See explanation
Step-by-step explanation:
a. The deposit
= 15% × $2975
= 15/100 × $2975
= 0.15 × $2975
= $446.25
b. The hire purchase price
Outstanding balance = $2975 - $446.25 = $2528.75
20% of outstanding balance
= 20% × $2528.75
= 0.2 × $2528.75
= $505.75
Hire purchase price
= $2975 + $505.75
= $3480.75
c. The difference the hire purchase price and cash price
= $3480.75 - $2975
= $505.75
d. The difference as a percentage of the cash price.
= ($505.75 / $2975) × 100
= 0.17 × 100
= 17%
what does x equal and what are the angle measures?? help Asap
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all triangles are 180 always. make a equation 2x+x+x+8 then combine like terms so it will be 4x+8 then divide by 4 on bith sides x=2
The graph of f (x) = x + 5 is a vertical translation 5 units
up of the graph of f(x) = x. How can you obtain the graph of
f(x) = x + 5 from the graph of f (x) = x using a horizontal
translation?
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Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
[tex]\displaystyle f(x)=x[/tex]
To shift vertically n units, we can simply add n to our function. Hence:
[tex]f(x)=x+n[/tex]
So, a vertical shift of 5 units up implies that n=5. So:
[tex]f(x)=x+5[/tex]
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
[tex]f(x-n)=(x-n)[/tex]
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
[tex]f(x-1)=(x-1)[/tex]
Or:
[tex]f(x)=x-1[/tex]
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
[tex]f(x-(-5))=(x+5)\text{ or } f(x)=x+5[/tex]
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
Find the value of x. Round your answer to the nearest tenth.
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Answer:
x=5.7
Step-by-step explanation:
sin(35=x/10
PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
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Answer:
f(-2) = 2
Step-by-step explanation:
Look at the graph and find -2 on the x-axis and see what the y-coordinate is on the line where x is -2. When you do this, you can see that where x is -2, y is 2.
So basically it wants the y-value :)
Answer:
1.25
Step-by-step explanation:
the answer is 1.25. To get that, I found the slope, wrote the equation in point slope form, and then I calculated when the f(x) function hits the line
What number is 25% of 160? (worth lots of points because why not lol) help me-
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Answer:
40
Step-by-step explanation:
This can be solved by changing the percentage to a decimal number, then multiplying by 160.
0.25×160=40
The equation f = V + at represents the final velocity of an object, f, with an initial velocity, w, and an acceleration rate,
a, over time, t. Which is an equivalent equation solved for a?
Of-v=a
Of-vra
1
Of+V = a
o+v=a
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Answer:
hey
Step-by-step explanation:
the answer is 5
PLS HELP ASAP! <3 sorry for caps
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Answer:
the answer would be 224/2
Step-by-step explanation:
What is the slope of the line whose equation is: y = 2/5x - 5?
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can someone help me. Arithmetic Sequences
Your bucket of Halloween candy has 125 pieces of candy in it. You decide that to ration yourself, you’re going to only eat 5 pieces per day.
What is the common difference?
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Answer:
-5
Step-by-step explanation:
when you eat 5 pieces of candy per day then the sequence will be
125, 120, 115, 110, 105......
And Then, the common difference will be -5
The measures of the angles of a triangle are shown in the figure below. Find the
measure of the smallest angle.
(3x-9)°
(x+15)
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Answer:
318.6
Step-by-step explanation:
(3x-9) + (x+15) = 180
3x (x+15) -9 (x+15)
4x + 45x - 9x + 6 = 180
40x + 6 = 180
40x = 180 - 6
40x = 174
x = 4.34
(3x-9) = 4.34 * 3x-9 = 4.02
(x+15) = 4.34 + 15 = 19.34
180 - (4.02 + 19.34)
= 180 - 23.36
= 156.64
hope this answer helps!!