A linear equation is a mathematical expression that may be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are the variables and display style b, a 1, ldots, and a n are the coefficients, which are frequently real integers.
What in mathematics is a linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and which includes only a constant and a first-order (linear) term. The variables in the preceding equation are y and x, and it is referred to as a "linear equation of two variables" on occasion.A linear equation is a mathematical expression that can be written as x 1+ldots +a n+x n+b=0, where x 1, ldots, and x n are variables and b, a 1, ldots, and a n are coefficients, which are frequently real integers.To learn more about Linear equation refer to:
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4. Cindy has $2.50 to spend on milk and
candy. The milk costs $0.70. Her favourite
candies cost $0.12 each.
a) Write an equation that models the
number of candies that Cindy can afford.
b) Solve the equation.
4. An object will most effectively absorb the
sun's rays if it is
(A) polished, and dark in color.
(B) polished, and light in color.
(C) rough, and light in color.
(D) rough, and dark in color.
2 = x/6
HELP, WILL MARK BRAINLIEST
Answer:
x= 12
Step-by-step explanation:
12÷6=2
What number is 150 decreased by 15%?
Answer:127.5
Step-by-step explanation:
A parasail is $\frac{3}{100}$
mile above the water. After 5 minutes, the parasail is $\frac{1}{50}$
mile above the water. Find the change in height of the parasail.
The change is height is
mile.
The change in height of the parasail = 1/100
What is height?Height of defined as the measurement that is taken for an object which starts from its base to the topmost point. This is usually measured in meters.
From the question,
The height of the parasail above the water level= 3/100
The height of the parasail above the water level after 5 minutes= 1/50
The change in height of the parasail is determined by finding the difference between the two heights.
That is, = 3/100 - 1/50
= 0.03- 0.02 = 0.01
When changed to fraction is = 1/100
Therefore, the change in height after 5 minutes is = 1/100
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pls help it’s a math question will mark brainliest
Answer: B the lines are neither parallel nor perpendicular.
Step-by-step explanation:
To make this easier we can make both equations into y-intercept statements.
y = 5x - 7
-8y = -x - 6
y = 1/8x + 6/8
By looking at the slopes of both equations (5 and 1/8) we can see that they are neither the same nor opposite reciprocals.
At the mall, Timmy bought a T-shirt and a book for a total of $23. The book cost $12. How much did the T-shirt cost? Let x represent the unknown information. Write an addition equation that models the problem
The equation can be modelled by 23 = 12 + x
How to determine the addition equation?The given parameters are
Cost of book = $12
Total purchase = $23
The total purchase can be calculated by adding the cost of the book and the cost of the T-shirt
This is represented as
Total purchase = Cost of book + Cost of T-Shirt
So, we have
23 = 12 + x
Where x represent the unknown information.
Hence, the addition equation is 23 = 12 + x
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A cylinder tank has a radius of 7.5 feet and an altitude of 14 feet. If a gallon of paint will cover 130 ft.² of surface how much paint is needed to put two coats of paint on the entire surface of the tank?
A cylinder tank has a radius of 7.5 feet and an altitude of 14 feet. If a gallon of paint will cover 130 ft.² of surface how much paint is needed to put two coats of paint on the entire surface of the tank?
Remember that
The surface area of a cylinder is equal to
[tex]SA=2B+Ph[/tex]where
B is the area of the circular nase
P is the circumference of the circular base
h is the height of the cylinder
so
Find out B
[tex]B=\pi\cdot r^2[/tex]we have
r=7.5 ft
pi=3.14
substitute
[tex]\begin{gathered} B=3.14\cdot(7.5)^2 \\ B=176.625\text{ ft2} \end{gathered}[/tex]Find out the circumference
[tex]\begin{gathered} P=2\pi\cdot r^{} \\ P=2(3.14)\cdot7.5 \\ P=47.1\text{ ft} \end{gathered}[/tex]the value of h=14 ft
therefore
SA=2(176.625)+47.1(14)
SA=1,012.65 ft2
Remember that s needed to put two coats of paint
Multiply the surface area by 2
1,012.65*2=2,025.3 ft2
1 gallon -------> 130 ft2
applying proportion
1/130=x/2,025.3
solve for x
x=2,025.3/130
x=15.6 gal
therefore
the answer is 16 gallonWhat is geometric art /geometric abstraction?
Geometric art or geometric abstraction is a form of art based on geometric figures and polygons, like lines, angles, squares, trapezoids, etc.
A cone and a cylinder both have a radius of 3 inches and a height of 7 inches. If you wanted to adjust the cone's radius so that both solids have the same volume, what should the cone's radius be?
Answer:
radius = 5.196 ins. to nearest thousandth.
Step-by-step explanation:
Volume of the cylinder = π (3)^2 7
= 63π in^3.
Volume of the cone = 1/3 π r^2 7 where r is the new radius of the cone
So, 63π = 7/3 π r^2
r^2 = 63 / 7/3
= (63*3)/7
= 27
r = 5.196 in.
a polygon is a 2d shape with all straight edges. show via induction that the sum of the interior angles of a polygon with n sides is (n −2) ×180◦. don’t include unneeded base cases. hint 1: it is helpful to know that a triangle’s interior angles always sum to 180◦. you may assume this is true for the problem. hint 2: in order to apply your inductive hypothesis to a polygon, you’ll need to think of it in terms of a smaller polygon. how can you make a smaller polygon out of a big one?
Using the process of induction we can prove that the sum of all angles of a polygon is (n −2) ×180°
In geometry, a polygon is a planar shape characterized by a finite number of segmented straight lines linked to form a network of closed polygons (or polygonal circuit). A polygon is defined as either a bounded plane region or a bounding circuit.
Sum of all angles of a triangle is 180°
Sum of all angles of a quadrilateral is 360°
We know that a triangle has 3 sides.
Hence (n −2) ×180 for n=3 given 180
and (n −2) ×180 for n=4 gives 360.
So we can say that the formula holds by the properties of induction.
The portions of a polygonal circuit are known as its margins or sides. A polygon's vertices or corners are the points where two edges meet. The inside of a solid polygon is sometimes referred to as its body. An n-gon appears to be a polygon with n sides, similar to a triangle, which is a 3-gon.
Hence the formula (n −2) ×180◦ holds for induction.
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Stefan sells jin a bicycle for $113 and a helmet for $19. The total cost for jin is 110% of what stefan spent originally to buy the bike and helmet. How much did stefan spend originally? How much money did he make by selling the bicycle and helmet to jin?
Stefan spent originally to buy a bike $95 and $15 to buy a helmet and he made $17.27 by selling the bicycle and $1.73 by selling the helmet to Jin.
The selling cost for Stefan bicycle = $113 and
the selling cost of a helmet = $19.
The total cost for Jin is 110% of the money spent by Stefan
Let us assume purchasing cost of a bicycle = $x.
Purchasing cost of a helmet = $y.
For bicycle
110% of x is $113
=> 1.10 × x = 113
Dividing both sides by 1.10, we get
x=$102.72.
Stefan spent for his bicycle = 102.72
For helmet.
110% of y is $19.
=> 1.10 × y = 19.
Dividing both sides by 1.10, we get
y = $17.27
Stefan spent for his helmet = 17.27
money made by selling the bicycle is $113 - 102.72 = $10.72
money made by selling the helmet is $19 - 17.27 = $1.73.
Therefore, Stefan spent originally to buy a bike $95 and $15 to buy a helmet and he made $17.27 by selling the bicycle and $1.73 by selling the helmet to Jin.
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Solve the following system of linear equations by graphing:-X+ y = -74x + 4y = 20
1) Let's solve this Linear System, using the method of Elimination/Addition
-x+y=-7 Multi
4x+4y = 20
Answer the questions below to find the total surface area of the can.
The total surface area of the can is 61.23 square inches
The total surface area of can S = 2πr(r+h)
where:
h is the height
r is the radius
A cylinder's surface area is the area that its surface takes up in three dimensions. A three-dimensional structure known as a cylinder has circular bases that are parallel to one another. There are no vertices on it. Area of three-dimensional shapes often refers to surface area. Square units are used to denote the surface area. Examples include cm2, m2, and so forth.
Given
h = 5in
r = 1.5in
S = 2(3.14)(1.5)(1.5 + 5)
S = 6.28(1.5)(6.5)
S = 61.23 square inches
Hence the total surface area of the can is 61.23 square inches
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if an angle and its half form a pair of supplementary angles , what are the measures of the angles
Answer:
100 degrees
Explanation:
2x + x + 30 = 180
3x + 30 = 180
3x = 180 - 30
3x = 150
x =
150
3
x = 50
both angles
2x = 2
×
50 = 100
x + 30 = 50 +30 = 80
larger angle is of 100 degrees
What is the area of this trapezoid 13 cm 15cm 29cm
Answer:315
Step-by-step explanation:
PLEASE HELP QUICK !!
Answer:
The second option: f(x) = -(200/x)
Step-by-step explanation:
We can see that the input of the function is 20 and the output is -10. For the inverse, these values will swap: -10 will be the input and 20 will be the output.
Given that, we can substitute -10 into each equation and use trial and error to find out which one gives 20 as the output.
The first one, f(x) = -(0.5/x) will give an output of -(0.5/-10) = 1/20, which is incorrect.
The second one, f(x) = -(200/x) will give an output of -(200/-10) = 20, which is correct. Therefore, this must be the inverse. There will only be one inverse, so we don't need to try the rest.
Two years ago, a car was valued at $24,000. This year, the value of the car is $23,160. What was the percent decrease in the value of the car?
The value of the car is decreased by 3.5%.
A figure or ratio stated as a fraction of 100 is called a percentage. Although the abbreviations "pct.", "pct.", and occasionally "pc" are also used, the percent symbol, "%," is frequently used to indicate it. A % is a number without dimensions and without a standard measurement.
The value of the car two years ago was $24,000.
The value of the car this year is $23,160.
The decreased value of the car after two years will be:
= $24,000 - $23,160
= $840
Let y be the percentage by which the value of the car decreased,
y = 840/24000
y = 0.035
y = 3.5/100
y = 3.5%
The value of the car decreased by 3.5 percent in two years.
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this is difficult please help I need to know the answer I give more point pls help.
Answer:
decagon
Step-by-step explanation:
all angles measure 360, divide by 10 sides, answer is 36. lmk if you need a more in depth explanation
find the area of this circle
Answer:
Formula given : Area = πr²
where r is the radius
the given radius is 5 inches
and pi is 3.14
so 3.14x 5²
3.14 x 25
the area is 78.5 in²
hope it helps, mark as brainliest :D
Answer:
A = 78.54 in²
Step-by-step explanation:
A = πr²
A = π(5²)
A = 25π
A = 78.54 in²
2. Three families bought food at a basketball game. The Davis family spend $16.50 on 3 hotdogs, 2
drinks, and 1 pretzel. The Ruiz family spend $26 on 4 hotdogs, 4 drinks, and 2 pretzels. The Cho family
spend $13.75 on 2 hotdogs, 1 drink, and 3 pretzels. Write a system of equations and solve for the price of each item
Answer:
x = $3.5
y = $2.25
z = $1.5
Step-by-step explanation:
let x = price of a hotdog
y = price of a drink
z = price of a pretzel
according to the question:
Davis family spends: 3x+2y+z = $16.50 (equation 1)
Ruiz family spends: 4x+4y+2z = $26 (equation 2)
Cho family spends: 2x+y+3z = $13.75 (equation 3)
from eq. 1
z = 16.50-3x-2y
substituting in eq.2
4x+4y+2(16.50-3x-2y) = 26
4x+4y+33-6x-4y=26
-2x=26-33
thus x = $3.5
from eq. 3
y = 13.75-2x-3z
y = 13.75-2(3.5)-3z
y = 13.75-7-3z
y=6.75-3z
thus,
z = 16.50-3(3.5)-2(6.75-3z)
z = 16.50-10.5-13.5+6z
z-6z = -7.5
-5z = -7.5
thus z = $1.5
thus
y = 6.75-3(1.5)
y = $2.25
Anna shipped a small package from north carolina to Virginia for $1.15 her package weighed 5 ounces write and solve an equation to determine the shipping cost per ounce
Given:
Total shipping cost = $1.15
Weight of package = 5 ounces
The equation to determine the hipping cost per ounce is:
[tex]\begin{gathered} \text{Shipping cost per ounce = }\frac{Total\text{ shipping cost}}{\text{Weight of package}} \\ \\ \text{Shipping cost per ounce = }\frac{1.15\text{ }}{5\text{ }} \end{gathered}[/tex][tex]\text{Shipping cost per ounce = }\frac{1.15\text{ }}{5\text{ }}\text{ = \$0.23}[/tex]Shipping cost per ounce = $0.23
ANSWER:
[tex]\frac{1.15\text{ }}{5\text{ }}\text{ = \$0.23}[/tex]Ben has a side job where he stuffs envelopes for a business. If he can fill 36 envelopes in
30 minutes, how long will it take him to fill 48 envelopes?
After solving basic arithmetic, we have come find that it will take 40 mins for Ben to fill 48 envelopes.
What is arithmetic?The word "arithmetic," which comes from the Greek word "arithmos," which means "number," is one of the oldest and most basic branches of mathematics. The study of numbers, particularly the characteristics of conventional operations, including:
Addition
Subtraction
Multiplication
Division
These operations are the basis for the arithmetic operators ‘+’, ‘-’, ‘×’ and ‘÷’.
The foundational subject in mathematics, arithmetic covers operations with numbers. These include addition, subtraction, multiplication, and division. One of the vital branches of mathematics, arithmetic serves as the cornerstone for students studying the subject of mathematics.
Given that he can fill 36 envelopes in 30 minutes
So time he would take to fill 1 envelope = 30/36
Therefore, time he would take to fill 48 envelopes = (30/36) × 48
= 40 mins.
Thus, It will take 40 mins for Ben to fill 48 envelopes.
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2. Kelley makes her own potting soil mix for planting flowers. She uses 2 scoops of compost with 9 scoops of top soil. If she uses 18 scoops of compost, how many scoops of top soil will she use?
Answer: 81
Step-by-step explanation: If we divide the numbers given to use, (2 factors of compost), you get 9, (do 18 divided by 2). 9 times 9 is 81.
helppppppp A construction company takes 1/4 hours to remove 1/4 metric tons of dirt from a construction site.
What is the unit rate in metric tons per hour?
Write your answer in simplest form. i need this urgentlyyyyyy
The unit rate in metric tons per hour is 1 metric ton per hour.
The unit rate will be calculated by simply performing the division of amount of dirt by amount of time.
Keep the values in formula to find the value of the unit rate in metric tons per hour.
Unit rate = 1/4÷1/4
Performing division on Right Hand Side of the equation to find the value of the unit rate in metric tons per hour.
Unit rate = 1 metric ton per hour
Thus, the unit rate to remove dirt from construction site is 1 metric ton per hour.
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PLEASE HELP ME QUICKK
It is given that a = 30°. It is also shown that C is a right angle, thus c = 90°. The interior angles of a triangle always add up to 180°. So:
a + b + c = 180
30 + 90 + b = 180
b + 120 = 180
b + 120 - 120 = 180 - 120
b = 60°
Solving Inequalities with One Variable
Show work
2(7 − 2) > 9 + 6
Answer: no solution
Step-by-step explanation:
2× (7-2)>9+6
Calculate the sum or difference
2×5>9+6
Calculate the sum or difference
2 × 5 > 15
2×5>15
Calculate the product or quotient
10 > 15
10 > 15
The solution of the inequality
no solution
put these numbers in order, smallest ton largest
3.7 3.77 7.3 3.07 7.33
Answer:
3.07 - 3.7 - 3.77 - 7.3 - 7.33
Step-by-step explanation:
The numbers from smallest to largest^
The equation of line L, is y = 5x + 1
The equation of line L, is 2y - 10x + 3 = 0
Show that these two lines are parallel.
Answer:
They are parallel because they both have the same gradient of 5.
Step-by-step explanation:
For lines to be parallel they need to contain the same gradient.
1. therefore we rearrange the second equation to get y the subject so it's in the format of y=mx+c
2. 2y-10x+3=0
- we +10x and -3 on both sides to get y on its own
2y=10x-3
- we divide each side by 2 as we want y not 2y
y=5x-[tex]\frac{3}{2}[/tex]
3. From this we can see that both the equation contains the same gradient (5)
therefore, they are parallel.
Please awnser fast due tommorow worth 40 pts(I need all of the answered)1 Which of the following could be the graph of the equation y =-2x + 5? How do you know?
Answer: Your image is too blurry to read, but the third graph from the left is correct for y=-2x+5
Step-by-step explanation: This equation is already in the slope-intercept form: y=mx+b. In the slope-intercept form, m=slope of the line and b=intercept. For your equation, the slope is -2 and the y-intercept is where y=5. To graph the line, the -2 slope is down 2 on the y-axis for every +1 on the x-axis. Please see my attached image for the graph.
