Answer:
f(x) = 0.85x
g(x) = 0.85x - 100
Step-by-step explanation:
Given that :
Sale price = 15% off the item price
Let original price = x
Hence, sale price = (100 - 15)%
Let the sale price function = f(x)
f(x) = 0.85x
Where, x = price before 15% off
Customer also has a coupon discount of 100 pesos
Let coupon discount price = g(x)
g(x) = f(x) - 100
Hence,
g(x) = 0.85x - 100
x = price before 15% off
You mix 7 tablespoons of vinegar for every 4 tablespoons of baking soda to produce a chemical reaction. You use 15 tablespoons of baking soda. How much vinegar do you use?
Answer:
105
Step-by-step explanation:
its said that you used 7 tablespoons for 4 tablespoons for baking soda so i did 15X7 and that get you 105
The amount of usage of vinegar is 26 [tex]\frac{1}{4}[/tex] (26.25) tablespoons.
How do I calculate parts for a recipe?One part equals one teaspoon, one cup, or one ounce if you're measuring in those units. All other constituents are tested against one component, which serves as the fundamental measurement. When choosing the portion size, it's useful to take the size of the completed cocktail—along with the amount of ice required—into account.An equalized ratio is used to measure a part in liquid measurements or 1 part of alcohol.Although it's not always the ideal option for bars and restaurants, it is a simple method to make and scale cocktails. When assessing bar inventory data, standard pours should always be in correct volume.Calculations :
No of baking soda tablespoons = 15 No of baking soda tablespoons forproduce a chemical reaction with
7 tablespoons of vinegar = 4
So , divide both : 15/4 = 3.75 = 3 3/4
= 3.75 x 7 = 26.25 = 26 1/4 tablespoons
of vinegar
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4xy
4xy
Area of a square with sides being 4xy
Answer:
Step-by-step explanation:
Answer Text
an equilateral triangle
a right angled triangle
an isosceles triangle
None of these
Answer :
A
Solution :
Acute angle between the lines x2+4xy+y2=0 is tan2(24−1−−−−√)/(1+1)=tan−13–√=tan−1π/3. Angle bisectors of x2+4xy+y2=0 are given by x2−y21−1=xy2
x2−y2=0⇒x=±y
As x+y=0 is perpendicular to x−y=4, so the given triangle is equilateral triangle
Answer these two questions correctly and I’ll give brainlist ❤️.
A fall dance sold 18 tickets during the first day of sales. This was 25% of the total sales. How many tickets were sold to the fall dance?
A mix of solid and striped shirts are hanging on a store rack. Sixty percent of the shirts are solid. If there are 45 shirts, how many are striped?
I will be giving out brainlist if the answer you submitted was correct❤️.
Please answer correctly and don’t waste my points these were hard to earn :((
first question:
72 tickets were sold.
so... if 18 is 25%
18+18=36
then 36 would be 50%
36+36=72
so then 72 would be 100%
72*.25=18
second question:
27 striped shirts
60% of 45 is 27 so that means there are 27 solids, the remaining 18 are striped.
Monique Montez earns a 3.5 percent commission on all sales. She also receives a $500 bonus if her commission exceeds $4,000. Her total sales were $82,500. What was her total pay?
Solve the system of linear equations by substitution. x−2y=1 x+4y=13
Answer: {x,y}={5,2}
Step-by-step explanation:
sin^2 A + sin^2A. tan^2A = tan^2A
Step-by-step explanation:
sin^2 A = 1 - COS^2 A
SIN
[tex] {sin}^{2} + (1 - {cos}^{2} ). \frac{ {sin}^{2} }{ {cos}^{2} } [/tex]
hence proved
Carlos made a graph that represents the number of miles he travels, y, for the number of hours he drives, x. The graph is a straight line that passes through the origin and the point (1, 28.5). Which statement must be true?
"The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.
Since the graph is a straight line that passes through the origin (0,0) and the point (1, 28.5), we can determine the equation of the line using the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.
To find the slope (m), we can use the formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates of the two points, we have:
m = (28.5 - 0) / (1 - 0)
m = 28.5 / 1
m = 28.5
So, the slope of the line is 28.5.
Since the line passes through the origin (0,0), the y-intercept (b) is 0.
Therefore, the equation of the line is y = 28.5x.
Based on this information, the statement that must be true is: "The number of miles Carlos travels (y) is directly proportional to the number of hours he drives (x)."
In other words, for every hour Carlos drives, he travels 28.5 miles. This indicates a constant rate of travel, as the graph is a straight line with a fixed slope.
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4w+5z=30 what would W equal?
Answer:
w = (30 - 5z)/4
Step-by-step explanation:
solve with inverse operations
4w + 5z = 30
-5z -5z
4w = 30 - 5z
/4 /4
w = (30 - 5z) / 4
Answer:
w=15/2-5z/4
Step-by-step explanation:
4w+5z=30
4w=30-5z
Divide 4 on both sides
w=30/4-5z/4
w=15/2-5z/4
Solve the equation
0.20x + 0.68(120 - x) = 0.54(120)
Please show step by step, thank you
Answer:
x = 25
Step-by-step explanation:
.20x + .68(120 - x) = .54(120) (Distribute .68 to 120 and -x)
.20x + 81.6 - .68x = .54(120) (multiply .54 and 120)
.20x + 81.6 - .68x = 69.6 ( add .20x and -.68x)
-.48x + 81.6 = 69.6 ( subtract 81.6 on each side)
-.48x = -12 (divide -12 by -.48)
x = 25
How would I do this
Answer:
the ramp must be lowered
Step-by-step explanation:
Use the definition of the sine function to find the height of a ramp that is 8°.
Sine = Opposite/Hypotenuse
sin(8°) = height/8
height = 8×sin(8°) = 1.11
The height Nate's dad allows is 1.11 feet. At 1.5 feet, the ramp is too high.
The ramp must be lowered.
what is the value of (2^3)
Answer:
8
Step-by-step explanation:
[tex]2^3\\=2*2*2\\=8[/tex]
Answer:
8.
Step-by-step explanation:
(2^3) means " two to the power of three' ,a.k.a. " What is two multiplied by itself three times, also known as two times two times two, which is 2 x 2 x 2.
Which is 8.
What is the slope of the equation y– 3 = -4(x - 5)?
-4
-3
20
O 23
Answer:
-4
Step-by-step explanation:
open the bracket and after bring 3 to the other side
y=mX + c. c is the intercept on the y axis, while m is the slope
Can someone me with this problem?
Answer:
K and H is my best answer
IHF and JKH
Answer:
<IHF and <LKH
Step-by-step explanation:
Corresponding angles are any pair of angles which are on the same side of two lines cut by a transversal. These lines must be parallel in order for the angles to be corresponding
There are many corresponding angles in this diagram:
<MKJ and <KHG
<MKL and <KHI
These are legs of a triangle
11.1
10.2
What is the hypotenuse
Answer:
c≈15.07
Step-by-step explanation:
c=a2+b2=11.12+10.22≈15.07481
What is the domain of the set of ordered pairs {(-4,0), (-2,2), (0, 1), (2,3), (3, 4)}?
Answer:
Domain: { -4,-3,0,2,3}
Step-by-step explanation:
The domain is the input values
The range is the output values
Domain: { -4,-3,0,2,3}
Find the distance between A (3,2) and B (5,2)
Answer:
d=2
Step-by-step explanation:
[tex] \sqrt{(5 - 3) {}^{2} + (2 - 2) {}^{2} } \\ \sqrt{(2) {}^{2} + (0) {}^{2} } \\ \sqrt{4 + 0} \\ \sqrt{4} \\ = 2[/tex]
Solve the system of linear equations given below.
4x+y= -4
x+y=2
Answers
a. (2,4)
b. (-4,-5)
c. (-2,4)
d (-4,5)
Answer: C
Steps: 4x + y = -4, x + y = 2
Isolate the x for (x + y = 2): x = 2 - y
Plug the value of x into the other equation: 4(2 - y) + y = -4
Simplify: -4y + 8 + y = -4
Combine like variables (letters): -4y + y = -3y
So -3y + 8 = -4
Subtract eight from both sides: -3y + 8 - 8 = -4 - 8
-3y = -12
Divide both sides by negative three: -3y ÷ -3 = -12 ÷ -3
Simplify: y = 4
Plug the value of y into one of the original equations (I'll use x + y = 2):
So x + 4 = 2
Isolate the x variable: x = -2
A killer whale weighs 4.6t. Convert the weight to pounds.
Plz answer me will mark as brainliest
If x = 5, y = -3. evalue 3x-2y
Thus, substitute x = 5 and y = -3
3(5)-2(-3) = 15-(-6) = 15+6 = 21 #
Simplify 6x-20y+7z-8x+25y-11z
Subtraction and Addition, just subtract and addition of polynomial. Same variable subtract/addition with same variable.
Thus, (6x-8x)+(-20y+25y)+(7z-11z) = -2x+5y-4z #
The image of the point (-4,3) under a rotation of 90°
(counterclockwise) centered at the origin is
Answer:(-4,-3)
Step-by-step explanation:
if its rotates from -4,3 its going to move to quadrent 3 and in quadrent 3 is negitives thus it being -4,-3
The required image of the given point after 90° rotation is (-4, -3).
Given that,
To determine the image of the point (-4,3) under a rotation of 90 (counterclockwise) centered at the origin.
Coordinate, is represented as the values on the x-axis and y-axis of the graph. while the coordinate x is called abscissa and the coordinate of the y is called ordinate.
here,
Given point (-4, 3), located in the 2nd quadrat when rotating it by 90 counter-clockwise it will go into the 3rd quadrant is implied that the point will go through a transformation of (x, -y), so the image of the point is given as (-4, -3).
Thus, the required image of the given point after 90° rotation is (-4, -3).
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Bill has a total of 124 feet of wooden board to use for
two projects.
• He used 40% of the board to repair a fence.
He used 41 feet of the board to repair a deck.
Exactly how much board, in feet, was left over?
.
Please help I’m dumb
The sum of two numbers is 48. One number is 4 less than the other. Find the numbers.
Answer:
=26
=22
Step-by-step explanation:
[tex] \: \: \: x+x-4=48 \\ = 2x - 4 = 48 \\ = 2x = 48 + 4\\ = 2x = 52 \\ = x = 26 \\ \: \: \: \: \: \: \: \: \:= x - 4 = 26 - 4 = 22[/tex]
A triangle has angles that measure 54.6 and 17.8 . What equation can be used to find the value of the third angle in the triangle
Answer:
180=54,6+17,8+x(the third angle)
Step-by-step explanation:
The three angles in a triangle counted together always give 180 degrees. Therefore, you can use simple equation, in which you subtract the values of the two known angles from 180 (degrees) and the final number will be the value of thethird angle. In this case, it's
180-54,6-17,8=x
107,6=x
Answer:
I dont really know this one but I think it is x = (54.6 +17.8) ÷ 2. I donk know for sure tho.
Step-by-step explanation:
Estimate the 32.4907-4.02
Answer:
28.4707
Step-by-step explanation:
Which graph represents the equation y = 3sin(1/3x)
Answer:
B
Step-by-step explanation:
its on edge
The trigonometric equation is given as y = 3 sin ( x/3 )
What are trigonometric relations?Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the trigonometric equation be represented as y
The value of y = 3 sin ( 1/3 x)
y = 3 sin ( x/3 )
Now , Use the form a sin ( bx - c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift
Substituting the values in the equation , we get
a = 3 and b = 1/3
And , the period of 3 sin ( x/3 ) = 6π
So , the function is f ( x ) = 3 sin ( x/3 )
Now , when x = 0 , f ( x ) = 0
when x = 3π/2 , f ( x ) = 3
when x = 3π , f ( x ) = 0
when x = 9π/2 , f ( x ) = -3
Therefore , the graph of the function f ( x ) = 3 sin ( x/3 ) is given below
Hence , the trigonometric equation is 3 sin ( x/3 )
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Write each Percentage as a two different fractions and a decimal. 25% 50%
Answer:
Fraction of 25%=1/4
Decimal of 25%=0.25
Fraction of 50%=1/2
Decimal of 50%=0.5
A farmer sold 55.7 pounds of corn and 48.2 pounds of carrots to a restaurant. How many pounds of these two vegetables did the restaurant buy?
You add them to find the total, lining up the decimal points to add.
55.7
+48.2 ----------
103.9
The restaurant bought a total of 103.9 pounds of vegetables.
Hope this helps
Which expression is equivalent to 30°?
Answer:
Its A
Step-by-step explanation:
D is not 30 degrees its around 37
The expression A is equivalent to 30 degrees.
We have to determine whether the expression is equivalent to 30°.
What is the equivalent angle?
Two rotation angles that have the same measure.
D is not 30 degrees it's around 37
The value of cos ^-1(root3/2) =30 degree
[tex]\frac{\sqrt{3} }{2}=cos(30^0)[/tex]
The expression is equivalent to 30 degrees.
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A cube of wood measures 9 centimeters on a side and weighs 23 grams.
Answer:
the density is 25 grams
Step-by-step explanation:
Length of wood=9 cm
Volume of wood =9x9x9=729cm^3
Mass of wood(m) =23g
Density of wood =m/V
=23/729
=0.03 g/cm^3
The density of the cube of wood will be 0.32 grams per cubic cm.
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
A cube of wood measures 9 centimeters on a side and weighs 23 grams. Then the density is a ratio of the weight to volume.
Denasity = Mass / Volume
The volume of the cube is given as,
V = 9³
V = 729 cm³
Then the density is given as,
D = 23 / 729
D = 0.32 gram / cubic cm
The density of the cube of wood will be 0.32 grams per cubic cm.
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I have 0 idea what this even means? Does anyone know the answer and if you could possibly elaborate if you do? Very confused over here
Let f(x) = lnx and g(x) = log₂x. for all 0 < x < 1, f(x) < g(x): True.
How to determine the corresponding output value for this function?In this scenario and exercise, we would determine the corresponding output value for the functions f(x) and g(x) under the given mathematical operation and independent variables.
When x = 1, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(1) = ln(1).
f(1) = 0.
When x = 2, the output value for f(x) based on the table of values is given by;
f(x) = lnx
f(2) = ln(2).
f(2) = 0.69314718
When x = 1, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(1) = log₂(1)
g(1) = 0.
When x = 2, the output value for g(x) based on the table of values is given by;
g(x) = log₂x
g(2) = log₂(2)
g(2) = 1.
In this context, we can logically deduce that the function f(x) is less than function g(x) for all 0 < x < 1.
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