Answer:
£ [tex]36[/tex]
Step-by-step explanation:
In this situation, the price of an item is (£ [tex]45[/tex]). It is given that there is a ([tex]\frac{1}{5}[/tex]) off discount on this item. To find the price of this item, one will have to subtract the discount rate from (1), this will yield the fraction of the object price that one has to pay. To find the actual amount one has to pay, one must multiply the fractional price of the object by the original price of the object. Using this line of thought, one can form the following equation:
[tex](1-(rate\ of\ discount))(original\ price)=sale\ price[/tex]
Substitute the given values into this equation:
[tex](1-\frac{1}{5})(45)=sale\ price[/tex]
Simplify: remember, a fraction with any number over itself equals (1). Bear in mind that one can only perform operations such as addition and subtraction between fractions with common denominators, that is the number under the fraction bar.
[tex](1-\frac{1}{5})(45)=sale\ price[/tex]
[tex](\frac{5}{5}-\frac{1}{5})(45)=sale\ price[/tex]
[tex](\frac{5-1}{5})(45)=sale\ price[/tex]
[tex](\frac{4}{5})(45)=sale\ price[/tex]
Now perform the multiplication. Divide the denominator by the number one is multiplying by, then multiply it by the numerator (number over the fraction bar).
[tex](\frac{4}{5})(45)=sale\ price[/tex]
[tex](4)(45 / 5)=sale\ price[/tex]
[tex](4)(9)=sale\ price[/tex]
[tex]36=sale\ price[/tex]
Answer:
The answer is 36$
Step-by-step explanation:
Basically, the original price is 45 dollars, but with the extra 20% off (This is just the 1/5 off) it will be 36. This is because 45/5 equals 9 and 45-9 is 36.
c=2, f(x)= {3-x, x<2
2, x=2
x/2, x>2
Answer:
ball$
Step-by-step explanation:
<3
12- (17 + 1) = (12 - 17) + 1
O A. True
B. False
Answer:
False.
Step-by-step explanation:
.
17+1= 18
12= -6
12-17= -5 + 1 =-4.
Answer:
False
Step-by-step explanation:
12- (17 + 1) = (12 - 17) + 1
PEMDAS says parentheses first
12- (18) = (-5) + 1
Then add and subtract
-6 = -4
They are not equal
evaluate the impact of risky behaviour on your personal expectations in relation to your career help with maths too
Step-by-step explanation:
In triangle ADE:
sum of all angles is 180.
3x-10+58+42=180
3x+90=180
3x=180-90
3x=90
x=90/3
x=30
As line DA and CB are parallel:
angle D=angle C
angle y=58
In angle BCE, sum of angles is 180.
z+58+42=180
z+100=180
z=180-100
z=80
Olivia orders 24 cupcakes and a layer cake. The layer cake costs $16, and the total cost of the order is $52. What is the cost of each cupcake?
Answer:
The total cost was $52. Subtracting out the cost of the layer cake ($16) leaves us with $36 to pay for the 24 cupcakes. This means that each cupcake must have cost $1.50 ( = $36 / 24 cupcakes ).
Step-by-step explanation:
Answer:
Below
Step-by-step explanation:
First let us create an equation for this problem
(24 cupcakes)( $ of each cupcake) + ( $16 layer cake ) = $52
Let's say that C will represent the $ of each cupcake to make it easier
Solving it....
24C + 16 = 52
24C = 36
Divide both sides by 24
C = 1.5
Therefore, each cupcake cost $1.5
We can check to see if this works....
24(1.5) + 16 = total cost
36 + 16 = 52, so this is correct
Hope that helped! Best of luck <3
Frances earns $9.25 an hour at his part-time job. Last week he worked 16 hours.
What was his gross pay for the week?
Answer:
$148
Step-by-step explanation:
$9.25 x 16 hours = $148
find the value of X ?
Step-by-step explanation:
[tex]thank \: you[/tex]
What’s -2 + -9 =
please help me because tomorrow i have a test in math class , about integers and someone please explain too me . thank you if anyone can help
Answer:
-11
Step-by-step explanation:
-2+-9=
add like terms
-11
Solve the equation without using the Distributive Property.
8(x-3)= 16
x -3 =
please show an Example because Im lost... lol
(a) Find the slope of the curve y= x^2 - 2x - 3 at the point P(2, -3) by finding the limit of the secant slopes through point P.
(b) Find an equation of the tangent line to the curve at P(2, -3)
Answer:
Step-by-step explanation:
P=(2,-3)
Q=(a,a²-2a-3)
[tex]\Delta y=a^2-2a-3-(-3)=a^2-2a\\\Delta x=a-2\\\\\displaystyle \lim_{a \to 2} \dfrac{a^2-2a-3-(-3)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a^2-2a}{a-2} \\\\=\lim_{a \to 2} \dfrac{a(a-2)}{a-2} \\\\=\lim_{a \to 2} \dfrac{a}{1} \\\\=\lim_{a \to 2} a \\\\=2\\[/tex]
Proof:
y'=(x²-2x-3)'=2x-2
y'(2)=2*2-2=2
Interval notation of x<2
interval notation of x<2
x=1
The sum of two expressions is 5m^2-3n^2. if one of the expressions is 3m^2+4mn-n^2,what is the other?
2/9+1/3 thx for helping I need ASAP
Step-by-step explanation:
[tex] \frac{2}{9} + \frac{1}{3} \\ by \: taking \: out \: the \: lcm \: of \: 9 \: and \: 3 \: \\ we \: get \: 9\: as \: lcm \\ now \\ \frac{2 \times 1 + 1 \times 3}{9} \\ \frac{2 + 3}{9} \\ \frac{5}{9} [/tex]
Which one describes the algebraic expression for the phrase, "twice a number decreased by 5 is greater than 12"? 2n - 5 = 12
2n - 5 < 12
12 + 5n > 2
2n - 5 > 12
Answer:
2n - 5 > 12[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
Complete the set of ordered pairs for the relation.
{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.
(-2, __)
-2
-3
2
Answer:
Step-by-step explanation:
[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]
Answer:
2 / (-2,2)
Step-by-step explanation:
s = n(a+1) for a
please answer asap
Step-by-step explanation:
for a=
[tex] \frac{s - n}{n} [/tex]
In the similarity
transformation of AACB
to AEFD, AACB was dilated by
a scale factor of [?], reflected
across the [ ], and moved
through the translation [ ].
HELP HELP HELO NOW NOW PLEASE ILL GIVE BRAINLEISTETWBEBEJHEUEJ
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
What is graph transformation?
The technique of altering an existing graph or graphed equation to create a different version of the following graph is known as graph transformation. In particular, the change of algebraic equations, it is a typical kind of algebraic problem.
Graphs can be extended, rotated, inverted, or any combination of these transformations; they can also be translated or moved along the xyxy plane. The formulas "move the function f(x)f(x) by cc units in some direction," "stretch the function f(x)f(x) by cc units," and "rotate the function f(x)f(x) by xx units about the xx-, yy-, or zz-axis" are frequently used in mathematical issues. In every instance, the transformation has specific, calculable effects on the underlying function.
Since the triangle ABC and DEF is similar
So we can write,
DE/BC=EF/AB=FD/CA
scale factor =Length of CA/length of DF
=6/3
=2:1
Reflected at y axis i.e x=0
and raised by 2 units.
Therefore, In the similarity transformation of ΔACB to ΔEFD, ΔACB was dilated by a scale factor of 2, reflected across the y-axis, and moved through the translation 2 units
Learn more about graph transformation,
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Solve the equation 7 (x+3) = 72-4 how may solutions does it have
Answer:
x = 47/7 or 6.714
Step-by-step explanation:
7 (x+3) = 72-4
7x + 21 = 68
7x = 68 - 21
7x = 47
x = 47/7 or 6.714
HELP WITH B, C, & D PLS: g(x) = 2x2 + 5x + 1, find: -3g(3)
permiter math equation help pls
Hi
First dont panic. this one is pretty easy.
you known that the perimeter is the addition of every sides of a figure.
you have the total perimeter : 84.6
so now you just have to withdraw every side you have to the total , and the missing measure will be the result.
have a try ! you can make it.
an acute angle is an angle which is_______
Answer:
less then 90º
Step-by-step explanation:
an acute angle is an angle which is less then 90º
please help me with these questions I am begging anyone please help
(a)• production cost of a wooden cupboard is Rs.30,000.the manufacturer marked the price in order to obtain a 20% profit .if the payment is done outright 2% discount is given
questions
(1) what is the marked price of the cupboard?
(2) what is the outright price of the cupboard?
(3) find the price percentage gained by selling the cupboard for outright price ?
(b)• a furniture seller asks for 5% commission to sell 5 cupboard of Rs.35.000 each find the commission he receives
please help me
Answer:
1)rs.6000
Step-by-step explanation:
1)30 000*20/100=rs.6000
Sorry I don't know the answers for other questions cause I don't know outright price
Help plsssssssssssssssssss
3. Identify the property of real numbers.
The cost of one item sold for $14.50 is $14.50.
Answer:
$14.50
Step-by-step explanation:
Is the answer because we don't put a decimmel pint after the number
The property of real numbers demonstrated in the given statement is the "Reflexive Property of Equality."
The Reflexive Property of Equality is one of the fundamental properties of real numbers, stating that any real number is always equal to itself. In mathematical terms, for any real number 'a,' the Reflexive Property is expressed as:
a = a
This property is self-evident, as it simply means that any quantity or value is identical to itself. In the provided statement, the cost of one item sold for $14.50 is precisely $14.50, showing that the item's cost is equal to itself.
To further illustrate this concept, consider any real number 'x.' According to the Reflexive Property, we have:
x = x
This applies to all real numbers, whether they are whole numbers, decimals, fractions, negative numbers, or irrational numbers. For example:
1 = 1
5.3 = 5.3
-2 = -2
π = π (pi)
No matter what value 'x' represents, the Reflexive Property holds true for all real numbers. It is a fundamental principle that underpins many mathematical operations and proofs.
In summary, the Reflexive Property of Equality states that any real number is equal to itself. The given statement, "The cost of one item sold for $14.50 is $14.50," exemplifies this property, showing that $14.50 is indeed equal to $14.50, thus reaffirming the reflexive nature of real numbers.
To know more about Property here
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the sum of three consecutive even integers is less than or equal to 42. find the largest set of these numbers
Answer:
13, 14, 15
Step-by-step explanation:
13 + 14 + 15 = 42
Better explanation:
n + (n+1) + (n+2) = 42
42 - 2 - 1 = 39
n + n + n = 39
3n = 39 divide by 3 to isolate n
n = 13
So it starts with 13 and goes up from there.
5(n-7)=2(n+14) with steps
Answer:n =21
Step-by-step explanation:
Simplify the expression to a polynomial in standard form:
(3x2 - 4x – 5)(-2x2 + 2x + 2)
Answer:
- 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
Step-by-step explanation:
Given
(3x² - 4x - 5)(- 2x² + 2x + 2)
Each term in the second factor is multiplied by each term in the first factor, that is
3x²(- 2x² + 2x + 2) - 4x(- 2x² + 2x + 2) - 5(- 2x² + 2x + 2) ← distribute parenthesis
= - 6[tex]x^{4}[/tex] + 6x³ + 6x² + 8x³ - 8x² - 8x + 10x² - 10x - 10 ← collect like terms
= - 6[tex]x^{4}[/tex] + 14x³ + 8x² - 18x - 10
Which of the following set of points represents a function?
(4,3), (2, 1), (2, 9). (9, 4)
(3,5), (4,5), (5,9), (7.-2)
(-1,2). (-1, 4), (-1,8), (-1,9)
Answer:
Each of the domain values, x, should only output a single unique range value, y.
This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.
-1 outputs a 3
and
-1 outputs a 5
If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation is not a function.
Answer:
None of the following set of points represents a function .
X squared can be combined with X
true or false
Answer:
False, assuming "combined" means "added or subtracted and would simplify."
[tex]x^2[/tex] and [tex]x[/tex] cannot be combined with addition or subtraction. They are not like terms.
Step-by-step explanation:
Combining like terms only works if the variables and the powers on the variables match perfectly.
Examples:
[tex]x^2[/tex] and [tex]x[/tex] don't have matching powers, so they're not like terms.
[tex]x^2[/tex] and [tex]y^2[/tex] have the same powers, but the variables don't match, so they're not like terms.
Anything can be multiplied together though. So that's a different situation.
On Monday the price of gas is $3.50 on Tuesday the price drop my $.50 and I won’t say the price increase by $.65 or I am Santa edition equation to show final price of gas
If the cost price of 21 article is equalto the selling price of 18 articles. Find profit precent
Answer:
The selling price of 21 articles is equal to the cost price of 18 articles. Find the loss percent. Answer: answer is 100/7 %