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
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
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%
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?
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.
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
Answer:
hey
Step-by-step explanation:
the answer is 5
someone answer please:)
I think its saying to find out what a means
help please i’ll give brainlest and lots of points
Answer:
1+1=2 so that's the answer
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?
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
Find the slope of 6x – 3y = 5
Answer:
slope is 2
Step-by-step explanation:
simplify this equation so that you can get to "y ="
your equation is: 6x - 3y = 5
start by subtracting 6x from both sides: -3y = -6x - 5
then divide both sides by -3 to isolate y: y = 2x - 5/3
so now we can clearly see that the slope is 2, since that is what is right next to x
Solve for z. 2z − 3 = 1
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 = 2PLEASE HELP FAST I WILL GVIE BRAINLIST AND EXTRA MARKS FOR CORRECT ANSWER! THANKS
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
please help me answer this!! geometry
Answer:
-2x+7(10+18)
Step-by-step explanation:
Hope this helps
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)
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!!
Mr. 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?
Answer:
2y=8/3x
Step-by-step explanation:
what isvequivalent to y=23x−6?
Answer:
Slope = 46.000/2.000 = 23.000
x-intercept = 6/23 = 0.26087
y-intercept = -6/1 = -6.00000
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?
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 Science Club went on a two-day field trip. The first day the members paid $70 for transportation plus $19 per ticket to the planetarium. The second day they paid $100 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answer:
$170 + $35n
Step-by-step explanation:
Given that:
First day:
Transport fare = $70
Fee per ticket = $19
2nd day:
Transport fare = $100
Fee per ticket = $16
Total cost in dollars for the two days for n members
Number of members = n
First day:
70 + 19n
Second day :
100 + 16n
Totak cost :
(70 + 19n) + (100 + 16n)
70 + 100 + 19n + 16n
170 + 35n
$170 + $35n
Pls someone help me!
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.
Find the value of x. Round your answer to the nearest tenth.
Answer:
x=5.7
Step-by-step explanation:
sin(35=x/10
hello can anyone help me ? here the question
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
A line passes through the points (-8,-4) and has a slope of 5/4.
what does x equal and what are the angle measures?? help Asap
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
Write an equation in slope-intercept form which has a slope of 1/4 and crosses the Ÿ-axis at (0,7)
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
What is the square root of 3 to the square root of 2 power times the square root of 3 to the negative square root of 2 power
Answer:
3
Step-by-step explanation:
multiplication rule of exponents is to multiply the bases (sq rt 3) and add the exponents
(sq rt 3)^2 = 3
add exponents and power of 1
Is it scaling isosceles or equilateral and what is the answer
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]
PLS HELP ASAP! <3 sorry for caps
Answer:
the answer would be 224/2
Step-by-step explanation:
What is the slope of the line do the point for me to?
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
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:)
A rectangle has an area of 135 ft 2 . What is the length, if the width is 9 ft?
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.
What number is 25% of 160? (worth lots of points because why not lol) help me-
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
If you ask a question will the points given ne deducted from your points
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: