Mark wants to buy a computer that's normally $550, but after discount is $385. What percent of the original price does Mark pay?
Need photo of scratch work showing justification
Mark had to pay 70 percent of the original price.
What is percent?
A % in mathematics is a quantity or ratio that is stated as a fraction of 100 (from the Latin per centum, "by a hundred"). Even though the acronyms "pct.", "pct.", and even "pc" are also employed the percent symbol, "%," is frequently used to indicate it. A percent lacks dimensions and has no associated unit of measurement. The ratio's numerical value is multiplied by 100 to obtain the percent value. The Latin word per centum, which means "hundred" or "by the hundred," is where the word "percent" originates. The Italian word per cento, which means "for a hundred," gradually shrank to become the symbol for "percent."
Mark paid = $385
Original price = $550
Percent what Mark pay = (385/550) x 100 percent
= 70 percent
Hence, Mark had to pay 70 percent of the original price.
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Dr.Gordon has a scale drawing of a building site. The drawing uses the scale 2 in. On the drawing for every 100 ft on the building site. Dr.Gordon marks a 6 in by 32 in section of the drawing to show the section she will search. What is the area of the section she will search? Show your work.
It is essential that Dr. Gordan searches for an area that is equivalent to 48,000 ft2, and he will look for it.
This is further explained below.
What is the search area?Generally, As stated in the preceding inquiry, The scale that Dr. Gordan uses
2 in = 100 ft
⇒1 in = 50 ft
A portion measuring 6 inches by 3.2 inches is highlighted by Dr. Gordon.
6 inches of length
= ( 6 × 50 )ft
= 300ft
3.2 inches in width
= ( 3.2 × 50 )
= 160ft
The total area of the section may be calculated as follows:
area = (length x width)
= 300 × 160
= 48,000 ft²
As a result, the needed search area for the portion that Dr. Gordan will conduct is equivalent to 48,000 feet squared.
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3x+y=10
y=-3x+10
Use substitution
Answer:
Infinitely many solutions
Step-by-step explanation:
substituting [tex]y=-3x+10[/tex] into [tex]3x+y=10[/tex] we get:
[tex]3x-3x+10=10\\\\0+10=10\\\\0=0[/tex]
Since it is equal to itself there are infinitely may solutions to this problem
Please help. been stuck on this question for ages.
Noah opens a savings account which gives compound interest of
2.5% per year. He puts £4000 into it.
a) How much money will Noah have in the account after 9 yrs?
b) How much interest will Noah have earned from this account
after 9 years?
Give your answers in pounds (£) to the nearest 1p.
a. Noah will have money in the account after 9 yrs is $4900.
b. Noah has earned interest from this account after 9 years is 22.5%.
What is compound interest?
Compound interest is when interest on a loan, investment, or savings account grows exponentially over time rather than linearly.
Formula to calculate simple interest
I = Prt
Where, I = Simple interest
t = time
r = earned interest
P = Compound interest
Here, we have
P = $4000, r = 2.5%, t = 9 years
By applying the compound interest formula, we get
I = 4000×0.025×9
= 900
The total amount after 9 years is 4000+900= 4900
Hence,
a. Noah will have money in the account after 9 yrs is $4900.
b. Noah has earned interest from this account after 9 years is 22.5%.
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An alloy contains 15% manganese and 85% iron. 37.5 kg of manganese is used to make the alloy.
a.) How much alloy is produced?
b.) How much iron is used?
An alloy contains 15% manganese and 85% iron.
manganese/ iron = 15/85= 3/17.
manganese = 37.5 kg.
iron = 37.5 x 17/ 3= 212.5 kg
alloy = manganese + iron = 37.5 +212.5 = 250kg
250kg alloy is produced from 37.5 kg manganese and 212.5 kg Iron.
What is a alloy ?A metal alloy is a substance that combines multiple metals or combines metals with non-metallic elements. Brass, for example, is an alloy of two metals: copper and zinc. Steel is a metallic element (iron) alloyed with a small amount (up to 2%) of a non-metallic element (carbon)Alloy steel is steel that contains approximately 5% alloying elements. Manganese, chromium, vanadium, nickel, and tungsten are examples of alloying elements. Alloying elements improve overall machinability and corrosion resistance.here,
An alloy contains 15% manganese and 85% iron.
manganese/ iron = 15/85= 3/17.
manganese = 37.5 kg.
iron = 37.5 x 17/ 3= 212.5 kg
alloy = manganese + iron = 37.5 +212.5 = 250kg
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Write the equation of the parabola in vertex form. Vertex (0,3) Point (1, -2)
f(x)=
Please Help It would be appreciated
The equation of the parabola is y = -5x^2 + 3
How to determine the equation?The points and the vertex represent the given parameters
From the question, we can see that the equation is a parabola
A parabola function is represented as
y = a(x - h)^2 + k
Where
Vertex = (h, k)
Point = (x, y)
From the question, we have
Vertex = (h, k) = (0, 3)
Point = (x, y) = (1, -2)
So, we have
y = a(x - 0)^2 + 3
Evaluate
y = ax^2 + 3
Using the point, we have
-2 = a(1)^2 + 3
This gives
a = -5
So, we have
y = ax^2 + 3
y = -5x^2 + 3
Hence, the equation is y = -5x^2 + 3
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The side length, s, of a cube is 4x2 + 3. If V = s3, what is the volume of the cube?
The Volume of the cube is [tex]$$\left(64 x^6+144 x^4+108 x^2+27\right)\\[/tex].
[tex]we \ know \that \ The \ volume \ of \ a \ cube \ is \ equal \ to \ $$V=s^3$$[/tex]
[tex]$$ where$s$ is the length side of the cubeIn this problem we have$$s=\left(4 x^2+3\right)$$Substitute$$V=\left(4 x^2+3\right)^3$$Remember that$$\begin{aligned}&\left(4 x^2+3\right)^3=\left(4 x^2+3\right)^2\left(4 x^2+3\right) \\&\left(4 x^2+3\right)^2\left(4 x^2+3\right)=\left[16 x^4+24 x^2+9\right]\left(4 x^2+3\right) \\&=64 x^6+48 x^4+96 x^4+72 x^2+36 x^2+27\end{aligned}$$Combine like terms$$=64 x^6+144 x^4+108 x^2+27$$[/tex]
What is cube ?In geometry, a cube is a three-dimensional solid object bounded by six square faces, faces or sides, three of which meet at each vertex.
The cube is the only regular hexahedron and one of the five Platonic solids. It has 6 faces, 12 edges and 8 vertices.
A cube is also a square parallelepiped, an equilateral cube and a right rhombohedron 3-ribbed. It is a regular square prism in three directions and a triangular trapezoid in four directions.
A cube is a double point with an octahedron. It has cubic or octahedral symmetry.
A cube is the only convex polyhedron that has all its faces square.
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Given the graphs of y = f(x) and y = g(x), what is the value of f(x)-g(x) where the two graphs intersect?
Answer:
0
Step-by-step explanation:
If they want the values of where the graphs intersect, that means the values are both = to each other, meaning subtracting the same value by the same value is 0
$8.5is 1hrs 2hrs is $13.65 and $18.80 for 3hs and $23.95 is 4hrs if the pattern continues how much will it cost for 6 hrs?
Answer:
$45.85 for 6 hours
Step-by-step explanation:
Which word best describes two figures that have the same size and the same shape?
Help pls!
Answer:
A. congruent
B. adjacent
C. parallel
D. similar
PLEASE HELP!!!
Is x = 3 a solution to the inequality: −8 ≤ 4x − 7?
Answer:
yes
Step-by-step explanation:
−8 ≤ 4(3)− 7
−8 ≤ 12-7
−8 ≤ 5 it works
AD is the perpendicular bisector of BC. BD = 5x - 10 and DC = 3x + 10.
Determine the value of x.
Applying the definition of perpendicular bisector, the value of x is: 10.
What is a Perpendicular Bisector?A perpendicular bisector can be defined as any line segment that bisects another line segment. That is, it divides another line segment into two equal parts having the same length.
Since AD is the perpendicular bisector of BD, then, BD = DC.
BD = 5x - 10
DC = 3x + 10
Substitute
5x - 10 = 3x + 10
Combine like terms
5x - 10 + 10 = 3x + 10 + 10 [addition property of equality]
5x = 3x + 20
5x - 3x = 3x + 20 - 3x [subtraction property of equality]
2x = 20
Divide both sides by 2
2x/2 = 20/2 [division property of equality]
x = 10
The value of x is 10.
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a)The area of a rectangular field is 7632m² .If the length of the field is 99 m, what is its width?b) The perimeter of a rectangular painting is 358 cm. If the width of the field is 82 cm, what is its length?
We have
A=7632m^2
the formula of the area of a rectangle
[tex]A=l\times w[/tex]where l is the length and w is the width
in our case we have
l=99m
then we substitute the values given in the formula
[tex]7632=99\times w[/tex]we need to isolate the w in order to find the value of the width
[tex]\frac{99}{99}\times w=\frac{7632}{99}[/tex][tex]w=\frac{7632}{99}=77.09m[/tex]the width is 77.09m
What is the Standard Form of the line with x-intercept of 6 and y-intercept of 5?
5x + 6y = 30
5x + 6y = 11
6x + 5y = 30
6x + 5y = 11
The standard form of the line with x-intercept of 6 and y-intercept of 5 is
5x + 6y = 30
How to write equation in standard form?The equation in standard form can be represented as follows:
Ax + By = C
Where
A, B and C are constantTherefore, let's find the standard form of the equation with x -intercept of 6 and y-intercept of 5.
The x-intercept is the value of x when y = 0 and the y-intercept is the value of y when x = 0.
Therefore,
(6, 0)(0, 5)
using the form y = mx + b
where
m = slopeb = y-interceptm = 5 - 0 / 0 - 6
m = - 5 / 6
Therefore,
y = - 5 / 6 x + 5
5 /6 x + y = 5
multiply through by 6
Therefore,
5x + 6y = 30
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A line passes through the point (-4,1) and has a slope -4. Write an equation in slope-intercept form for this line.
Answer:
y = -4x + 17
Step-by-step explanation:
formula
y - y1 = m ( x - x1)
y - 1 = -4 ( x - (-4))
y - 1 = -4 ( x - (-4))
y - 1 = -4 ( x + 4)
y - 1 = -4x - 16
y = -4x + 17
Survey In a survey of 3,300 people who owned a certain type of car, 1,650 said they would buy that type of car again. What percent of the people surveyed were satisfied with the car?
In linear equation, 65% of the people surveyed were satisfied with the car.
What is linear equation in math?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.total people = 3300
car repeater = 1650
In general to find %, divide the subset by the total amount and multiply by 100:
2145 / 3300 * 100 = 65%
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If m∠1=(7x+6)° and m∠2=(8x−6)°, find the value of x such that is perpendicular to .
Answer:
perpendicular to what
Step-by-step explanation:
4-5 Isosceles and Equilateral Triangles
What is the value of x?
(5x)°
-(3x + 28)°
Answer:
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Columbia manufactures bowling balls with a mean weight of 14.6 pounds and a standard deviation of 3 pounds. a bowling ball is too heavy to use and is discarded if it weighs over 16 pounds. assume that the weights of bowling balls manufactured by columbia are normally distributed. the latest 6% of the bowling balls made or discarded due to the possibility of defects. a bowling ball is the square for being too light if it weighs under what specific weight?
The probability that a bowling ball chosen at random would be discarded because it is too heavy to use is 0.3204.
The population's mean weight (μ) is equal to 14.6 pounds.
The standard deviation (σ) is equal to 3 pounds.
Assuming a normal distribution, the corresponding z-score for each given weight "X" is calculated as follows:
z = (x - µ)/σ
For X = 16 pounds:
z = (16 - 14.6)/3
z = 0.4667
A z-score of 0.4667 is equivalent to the 67.96-th percentile of the distribution. The probability of a ball being discarded is:
P(z > 0.4667) = 1 - 0.6796 = 0.3204
The probability that a randomly selected bowling ball is discarded due to being too heavy to use is 0.3204 or 32.04%.
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A 28-sided die is rolled 3 times. How many different outcomes are possible?
The number of possible outcomes exists 21952. The probability of an event is a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
What is meant by probability?A probability is a numerical representation of the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.
Probability exists a branch of mathematics that deals with numerical representations of the likelihood of an event happening or of a proposition being true. The probability of an event exists a number between 0 and 1, with 0 approximately denoting impossibility and 1 denoting certainty.
Given:
A 28-sided die is rolled 3 times.
28 × 28 × 28 = 21952.
Therefore, the number of possible outcomes exists 21952.
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what is r, -3(1+6r)=14-r
Answer:
r=-1
Step-by-step explanation:
- 3 ( 1 + 6 r ) = 14 - r
-3-18r=14-r
-3-18r+r=14
-3-17r=14
-17r=14+3
-17r=17
r=-1
A packet of sweets contains only purple and orange sweets. The ratio of
purple to orange sweets in the packet is 4: 1.
If there are 15 sweets in total, how many orange sweets are there?
There were three orange sweets in the given packet.
What is ratio and how can it be assessed?
A ratio is the comparative or condensed form of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects. A ratio is indicated by the symbol ":".
Given, the ratio of purple to orange sweets = 4 : 1
Total number of sweets including both purple and orange = 15 -(i)
Let x be the ratio constant for the given ratio.
Therefore, number of purple sweets = 4x -(ii)
Also, the number of orange sweets = 1x = x -(iii)
From (i), (ii) and (iii), we get, 4x + x = 15 ⇒ 5x = 15 ⇒ x = 3
Putting the value of x in (ii), we get number of purple sweets = 4x = 12
Putting the value of x in (iii), we get number of orange sweets = x = 3
Thus, there were three orange sweets in the given packet.
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HELP MEEE. I NEEED HELP
Answer:
1. [tex]\frac{3}{4}[/tex] or 0.75
2. x = 2
3. True
4. x = [tex]\frac{1}{3}[/tex]
5. c
6. b
7. See picture
8. a
9. 17
10. 8
Step-by-step explanation:
Too many to explain all but ask for anything specific
please explain i dont understand
The length of line segment (10.8, -5.3) and (-15.6, -5.3) is 26.4
since both points lie on the same horizontal line (same y-coordinate), we can record the detour using the Pythagorean approximation. to get the distance we just need to look at the difference in x-coordinates:
10.8 - (-15.6 )= 10.8 +15.6 = 26.4
What is line segment?A segment is bounded by two distinct points on a line. Or we can say that a line segment is a part of a line that connects two points. A straight line has no endpoints and extends indefinitely in both directions, but a segment has two fixed or specified endpoints. The difference between a segment and a ray is that a ray has only one end point and one end extends to infinity. Section with two endpoints A and B and marked with a bar symbol (-)
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Which of the following relations doesnot represent a function?A {(4,4),(5,4), (6,4)}B {(4,4),(4,5),(4, 6)C {(4,5), (5,5), (6,5)}D {(4,4),(5,5), (6,6)}
In a set of ordered pairs,
To be considered a function, each x-value must be paired with a corresponding UNIQUE y-value.
We want to select the "relation" from the choices, not the function.
A. Represents a function. Each x value paired with unique y value.
B. Doesn't represent a function. "4" is paired up with mutliple values of y.
C. Represents a function. Each x value paired with unique y value.
D. Represents a function. Each x value paired with unique y value.
AnswerB2. The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run?
Answer:
0.45 miles per minute
Step-by-step explanation:
Look at the units: miles per hour is miles/hour
miles hour miles
----- * ------- = ---------
hour minute minute
(27 miles/hour)(1/60 hours/minute) = 27/60
= 9/20 = 0.45 miles per minute
Drag each equation to show if it could be a correct first step to solving the equation
3(x+8)=42.
(3-2)+(3-8)= 42
Yes
DRAG AND
DROP ITEMS
3x + 24 = 42
3x+8 = 42
No
x + 24 = 42
DRAG AND
DROP ITEMS
HERE
CLEAR
2+8=14 3(z+8)=126
Not Enough Information
CHECK
DRAG-AND
DROP ITEMS
HERE
The correct first step for solving the equation 3(x+8) = 42 is (3×x)+(3×8) = 42.
How to solve a linear equation?A linear equation is one that contains a variable such as " x " instead of something like x 2. Linear equations can be written as x + 6 = 4 or 2 a - 3 = 7.To answer an equation, in general, you need to get the variable on its own by undoing whatever operations that have been applied to it.Step 1. Unambiguous fractions or decimals.Step 2. Remove parentheses and combine like terms to optimize evey side of the equation.Step 3. Isolate this same variable term by putting it on one of the equation's sides.Step 4. Divide each of the equation's sides to solve the equation.Step 5. Examine your solution.For the given equation;
3(x+8) = 42
The first step will be to open the parenthesis, and multiply each term with 3.
(3×x)+(3×8) = 42.
Thus, the first step to solve the linear equation is (3×x)+(3×8) = 42.
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A cone with volume 448 m^3 is dilated by a scale factor of 1/4.The volume of the resulting cone is ___ cubic meters.
EXPLANATION
If the volume of the cone is of V=448m^3 and it is dilated by a scale factor of 1/4, the resulting volume would be as shown as follows:
[tex]\text{Volume}_{\text{dilated}}=448\cdot1\frac{1}{4}=560m^3[/tex]PLease help meeeeeeeeeee
Answer:
1)
1/2 does not belong to the set
All other numbers belong to the Integers (Z).
2)
√7 does not belong to the set.
All other numbers are rational numbers (Q).
If y varies directly as x and y=3 when x=4. Find :
Connecting law
X when y=9
Y when x=2
Answer:
x = 12 and y = (3/2)
Step-by-step explanation:
"Y varies directly as x," can be written as:
y = mx
The connecting law is m, which relates how much y will change for a change in x. m is given by:
m = y/x
To find m, the slope, use the two given values for x and y:
m = y/x
m = 3/4
This yields:
y = (3/4)x
Now we can find:
X when y=9:
y = (3/4)x
9 = (3/4)x
x = (4/3)*9
x = 12
Y when x=2:
y = (3/4)x
y = (3/4)*2
y = (3/2)