Answer:
Hey there!
The sweater is selling for 85% of the original price
0.85(18)=15.30
1.08(15.30)=16.52
Let me know if this helps :)
The solution is Option C.
The total cost of the sweater is $ 16.52
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the original cost of the sweater be = $ 18
Let the sales tax percentage be = 8 %
Let the discount of the sweater be = 15 %
So , the equation for the total cost of the sweater is
The cost of the sweater after discount of 15 % is = original cost of the sweater - discount of the sweater x original cost
The cost of the sweater after discount of 15 % is = 18 - ( 15/100 ) x 18
= 18 - 0.15 x 18
= 18 - 2.7
= $ 15.3
Now , the cost of the sweater after sales tax of 8 % is = cost of the sweater after discount + sales tax percentage x cost of the sweater after discount
So , the equation is
The cost of the sweater after sales tax of 8 % is = 15.3 + ( 8/100 ) x 15.3
= 15.3 + 0.08 x 15.3
= 15.3 + 1.224
= $ 16.524
Hence , the total cost of the sweater is $ 16.52
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A person is buying apples while traveling in Europe. How will the price be mostly likely quoted? Choose the correct answer below. A. The price will be quoted in euros per milliliter because the price has unit of euros per unit of volume. B. The price will be quoted in euros per kilometer because because Europe is very large, so everything is quoted in kilometers. C. The price will be quoted in euros per milliliter because Europeans use the SI unit system. D. The price will be quoted in euros per kilometer because euros is the currency that is used in Europe. E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight. F. The price will be quoted in euros per kilogram because one apple in Europe weighs one kilogram.
Answer:
E. The price will be quoted in euros per kilogram because the price is quoted in currency per weight
Step-by-step explanation:
The price will be quoted in euros per kilogram because the price is quoted in currency per weight
Currency in Europe is Euro
Apple have weight
Volume of apple is measured in kilogram
For instance, if the person is buying 10 kilograms of apples for 20 Euro.
Then the price per kilogram = 20/10
=2 Euro per kilogram
Rectangle ABCD is shown. A is at negative 5, 1. B is at negative 5, 3. C is at negative 1, 3. D is at negative 1, 1. Rectangle ABCD is rotated 180°. What rule shows the input and output of the rotation, and what is the new coordinate of A′? (x, y) → (−x, −y); A′ is at (5, −1) (x, y) → (−y, x); A′ is at (−1, −5) (x, y) → (y, −x); A′ is at (1, 5) (x, y) → (x, −y); A′ is at (−5, −1)
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
When you rotate a point 180° about the origin, it travels along the circumference of a circle and ends up in a diagonally opposite location.
The x and y values of its coordinates become the negatives of the original values.
The rule is
(x,y) ⟶ (-x,-y)
If the coordinates of A are (-5,1),
The coordinates of A' are (5,-1).
The figure below shows the graph or your rectangle and its rotated image.
Answer:
(x, y) ⟶ (−x, −y); A′ is at (5, −1)
Step-by-step explanation:
just took the FLVS test and got a 100% :)
If h(x)=-(square root) of x-3 (outside square root) plus 5, then what is the value of h(7)?
Answer:
h(7) = 3
Step-by-step explanation:
h(x) = -[tex]\sqrt{x-3}[/tex] + 5
h(7) = -[tex]\sqrt{(7)-3}[/tex] + 5
h(7) = -√4 + 5
h(7) = -2 + 5
h(7) = 3
Help pls and ty ❤️❤️!!!!!!!!!
4 - c = -1/3 Can someone pls answer this question ASAP
4-c=-1/3
3[4-c]= -1
12-3c= -1
12+1=3c
13=3c
c=13/3
c=4 1/3
Simplify the following expression: (sin x + cos x)^2
Answer:
1 + sin2x
Step-by-step explanation:
Given
(sinx + cosx)² ← expand using FOIL
= sin²x + 2sinxcosx + cos²x
[ sin²x + cos²x = 1 and sin2x = 2sinxcosx ]
= 1 + sin2x
Answer:
[tex]1 + 2 \times \sin(x ) \times \cos(x) [/tex]
Step-by-step explanation:
[tex]( \sin(x) + \cos(x) \: )^{2} [/tex]
By expanding it , we get
[tex] { \sin }^{2} x \: + { \cos }^{2} x \: + \: 2 \times \sin(x) \times \cos(x) [/tex]
we know that
[tex] { \sin}^{2} x + { \cos }^{2} x = 1[/tex]
so,
[tex] { \sin }^{2} x + { \cos}^{2} x + 2 \times \sin(x) \times \cos(x) = 1 + 2 \times \sin(x) \times \cos(x)[/tex]
5(3-x)-2 (4-3x)=11-2 (x-1)
Answer:
x = 2
Step-by-step explanation:
Solve for x:
5 (3 - x) - 2 (4 - 3 x) = 11 - 2 (x - 1)
5 (3 - x) = 15 - 5 x:
15 - 5 x - 2 (4 - 3 x) = 11 - 2 (x - 1)
-2 (4 - 3 x) = 6 x - 8:
6 x - 8 - 5 x + 15 = 11 - 2 (x - 1)
Grouping like terms, 6 x - 5 x - 8 + 15 = (-5 x + 6 x) + (15 - 8):
(-5 x + 6 x) + (15 - 8) = 11 - 2 (x - 1)
6 x - 5 x = x:
x + (15 - 8) = 11 - 2 (x - 1)
15 - 8 = 7:
x + 7 = 11 - 2 (x - 1)
-2 (x - 1) = 2 - 2 x:
x + 7 = 2 - 2 x + 11
Grouping like terms, -2 x + 2 + 11 = (11 + 2) - 2 x:
x + 7 = (11 + 2) - 2 x
11 + 2 = 13:
x + 7 = 13 - 2 x
Add 2 x to both sides:
2 x + x + 7 = (2 x - 2 x) + 13
2 x - 2 x = 0:
2 x + x + 7 = 13
Grouping like terms, 2 x + x + 7 = (x + 2 x) + 7:
(x + 2 x) + 7 = 13
x + 2 x = 3 x:
3 x + 7 = 13
Subtract 7 from both sides:
3 x + (7 - 7) = 13 - 7
7 - 7 = 0:
3 x = 13 - 7
13 - 7 = 6:
3 x = 6
Divide both sides of 3 x = 6 by 3:
(3 x)/3 = 6/3
3/3 = 1:
x = 6/3
The gcd of 6 and 3 is 3, so 6/3 = (3×2)/(3×1) = 3/3×2 = 2:
Answer: x = 2
plz see the attachment
Which number is a solution of the inequality 8 – 14b ≥ 27?
Answer:
[tex]b\leq -\frac{19}{14}[/tex]
Step-by-step explanation:
First, write out the equation as you have been given it:
[tex]8-14b\geq 27[/tex]
Now, subtract 8 from both sides:
[tex]8-8-14b\geq 27-8\\-14b\geq 19[/tex]
Now, divide both sides by -14 and flip the inequality sign since we are dividing by a negative:
[tex]\frac{-14b}{-14} \geq \frac{19}{-14}\\b\leq -\frac{19}{14}[/tex]
The highest solution to the inequality is -19/14, and any number lower will also work.
help please:))))))))))))))))
Answer:
B?
Step-by-step explanation:
2 are colored left to right, and 5 down
2/3 of the chart is taken up
Answer:
Hey there!
The correct answer would be C (Third one from the left).
The width is 2/5 (two out of five) and the length is 2/3 (two out of three)
Let me know if this helps :)
A square region has a population of about 200,000 people and a population density of about 1650 people per square kilometer. Find the side length of the square region to the nearest kilometer.
The side length of the square region is about ___ kilometers.
Answer:
The side length of the square region is about 181,166 kilometres.
Step-by-step explanation:
population density = no. of people / area of region
given
population = 200,000
population density = 1650 people per square kilometers
1650 = 200,000/area of region
=> area of region = 1650*200,000 = 330,000,000
given that region is square in shape
area of square = side^2
side^2 = 330,000,000
side = [tex]\sqrt{ 330,000,000} = 181165,90[/tex]
The side length of the square region is about 181,166 kilometres.
If the grass in Jamie’s yard grew 16 centimeters in 10 days and it was growin at a constant rate. How many days did it take the grass to grow 1 centimeter How many centimeters did the grass grow in one day
(sin x) (2 sin x cos x)
Answer:
(sinx) (sin2x)
Step-by-step explanation:
2 sinx cosx = sin 2x
Solve x2 + 2x =1 for x by completing the square.
The quadratic formula is:
[tex]y = ax^{2} + bx + c[/tex]
To complete the square, take half of the b coefficient and square it. Zero it out in the equation by adding and subtracting it. Use the order of operations (PEMDAS) and solve for x.
I hope this helps. Let me know if you want me to clarify anything or if you have any questions!
The solution of the given quadratic equation is x = -1 ±√2
What is a solution for a quadratic equation?Suppose that we've a function y = f(x) such that f(x) is quadratic.
When y = 0, then the values of x for which f(x) = 0 is called the solution of quadratic equation f(x) = 0. This solution gives values of x, also when we plot x and f(x), we will see that the graph intersects the x-axis at its solution points.
The quadratic formula is given as;
x² + 2x =1
Then its solutions are given as;
[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
[tex]x = \dfrac{-2 \pm \sqrt{2^2 - 4(-1)}}{2}\\\\x = \dfrac{-2 \pm \sqrt{4 + 4}}{2}\\\\\\x = \dfrac{-2 \pm \sqrt{8}}{2}\\\\x = \dfrac{-2 \pm 2\sqrt{2}}{2}\\\\\\x = \dfrac{-1 \pm 1\sqrt{2}}{1}[/tex]
Therefore, the solution is x = -1 ±√2
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What is this one Im unsure how to put this one
Answer:
70 DDegrees
Step-by-step explanation:
Answer:
70 degrees
Step-by-step explanation:
Since the angle opens from the right, we need to measure from the right. Reading the protractor from the right, we can see that the angle measures 70 degrees.
What is the value of the expression when y = 2? StartFraction 2 minus y Over 4 plus y EndFraction plus StartFraction 3 (y plus 2) Over y EndFraction 3One-half 6 6One-sixth 12
Answer:
6Step-by-step explanation:
Given the expression [tex]\frac{2-y}{4+y} + \frac{3(y+2)}{y}[/tex], we are to look for the value of the expression when y = 2. To do that we are going to substitute y as 2 into the given expression and simplify the resulting expression as shown.
[tex]f(y) = \frac{2-y}{4+y} + \frac{3(y+2)}{y}\\\\if \ y = 2;\\\\f(2) = \frac{2-2}{4+2} + \frac{3(2+2)}{2}\\\\f(2) = \frac{0}{6} + \frac{3(4)}{2}\\\\\\f(2) =0 + \frac{12}{2}\\\\\\f(2) = 6[/tex]
Hence the value of the expression when y = 2 is 6
Answer:
The answer is 6
How you get this answer is by plugging in the number 2 in as y and following the order of operations.
What is: -(-8)+6-(-5) equal?
help meeee plzzzzzzz
I need help X=? angle TGH=?
Answer:
x = 11
m<TGH = 82
Step-by-step explanation:
m<TGH + m<FGT = m<FGH
6x + 16 + 42 = 11x + 3
6x + 58 = 11x + 3
-5x = -55
x = 11
m<TGH = 6x + 16 = 6(11) + 16 = 82
Find the lowest number between 200 & 500 which leaves a reminder of three in each case when divided by 8,10,12&30. Also I want the whole formula
11 + (3)(9) Step 1: 11 + (9)(3) Step 2: (11 + 9)(3) Step 3: 20(3) Step 4: 60 Analyze the work to find the error. In Step 1, the commutative property of multiplication was not done correctly. In Step 2, the associative property cannot regroup addition and multiplication. In Step 3, the multiplication must be done first In Step 4, the product is incorrect.
Answer:
This is the answer In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
Hope this helped.
Answer:
In Step 2, the associative property cannot regroup addition and multiplication.
Step-by-step explanation:
11 + (3)(9)
Step 1: 11 + (9)(3)
Step 2: (11 + 9)(3) <- wrong
Step 3: 20(3)
Step 4: 60
hope this help!
Find the distance between (-3,5) and (6,4). Round your answer to the nearest hundredth.
Answer:
d=√ 82=9.1
Step-by-step explanation:
Help me please having trouble!?
PLEASE HELP Which of the following expressions is equal to-4x^2-36? A:(-4x-9i)(x-4i) B:(-4x+9i)(x-4i) C:(-4x-12i)(x+3i) D:(-4x+12i)(x+3i)
Answer:
C is equal to -4[tex]x^{2}[/tex] - 36
Step-by-step explanation:
C: ( -4x -12) ( x + 3)= multiply -4x × x = -4[tex]x^{2}[/tex]= multiply -4x × 3 = -12x= multiply -12 × x = -12x= multiply -12 × 3 = -36= -4[tex]x^{2}[/tex] -24x -36, simplified to (-4[tex]x^{2}[/tex] - 36)Which ordered pair is a solution to the following linear system? y = x y = –x
A (0, 0)
B (0, 1)
C (1, 1)
D (1, 0)
Answer:
A (0, 0).
Step-by-step explanation:
y = x
y = -x
Therefore x = -x.
x + x = 0
x = 0
and y = x = 0.
Answer:
Which ordered pair is a solution to the following linear system?
y = x
y = –x
(1, 1)
(0, 1)
(1, 0)
Correct Answer
(0, 0)
Step-by-step explanation:
just did this on a test.
It took a skydive 6 seconds to drop 720feet. What is the rate (in feet per/second) of the skydive's drop?
Answer:
120ft/sec
Step-by-step explanation:
Assuming that there is no acceleration, divide the amount of feet (720) with the time (6 seconds):
720 ft/6 sec = 120 ft/1 sec
For every second, the skydiver drops 120 ft.
120ft/sec.
~
94.7 or 94.70
please dont put 120 i kept getting it wrong
Complete two ratios to describe the model. 4 dark blue triangles and 12 light blue triangles. The ratio of light blue triangles to dark blue triangles is . For every 1 dark blue triangle, there .
Answer:
1:3
Step-by-step explanation:
4:12 simplified is 1:3. for every 1 dark blue there are 3 light blues.
Answer: The ratio of light blue triangles to dark blue triangles is
✔ 3 to 1
.
For every 1 dark blue triangle, there
✔ are 3 light blue triangles
.
your w e l c o m e edge nuity users
The product of 3 and n
Mathematics
Answer:
Step-by-step explanation:
the product of 3 and n in mathematics is 3n or 3 times n The product of a number and three" should be 3n
where n is the number.
IN the answer of the question you would have to explain something like this:
Let n be the number. The product then is 3n
The reason for this is that you could also let n stand for the number, in which case the answer would be 3n
.
A triangle has two 12‑centimeter sides. Which of the following CANNOT be the length of the third side? A. 12 cm B. 6 cm C. 24 cm D. 18 cm
Answer:
C.
Step-by-step explanation:
The sum of two sides have to be greater than than the third (Triangle Inequality Theorem). 24 is equal to 24, not greater.
Answer:
C. 24m cannot be the length of the third side
Step-by-step explanation:
the sum of the lengths of any two sides of a triangle is greater than the length of the third side.
a = 12, b = 12
c < a + b
c < 24
therefore based on the choices...
C. 24m cannot be the length of the third side.
Can someone help me I can’t understand this
Solve the literal equation 2xy -xz = 4 for x
Answer: x = 4 / 2y-z
Step-by-step explanation: Move all of your terms to the left and then set your equal as 0. Then, set each of your factors equal to 0, as well.
I hope this helps you out.
a scale model of a double decker bus is 7.0cm high and 15.4cm long.if the bus is 4.2m high how long is it
Answer:
9.24 m
Step-by-step explanation:
Dimensions of the scale model:
h = 7 cml = 15.4 cmDimensions of the real bus:
H = 4.2 mL =?The ratio is:
H/h = 4.2 m / 7 cm = 420 cm / 7 cm = 60Then:
L/l = 60L= 60 l = 60*15.4 = 924 cm = 9.24 mThe length of the bus is 9.24 m