An equation that represents the relationship between x and y shown in the table is y = 1.5x.
How to write an equation?In order to write an equation that represents the relationship between x and y shown in the table, we would have to find the slope from the table and then write the required equation based on the data points by using the point-slope form.
Mathematically, the point-slope form of a line is given by this mathematical equation:
y - y₁ = m(x - x₁)
Where:
m represents the slope.x and y are the points.By substituting the given parameters into the point-slope formula, an equation for the data points contained in this table is given by;
y - y₁ = m(x - x₁)
y - y₁ = (y₂ - y₁)/(x₂ - x₁)(x - x₁)
y - 21 = (96 - 21)/(64 - 14)(x - 14)
y - 21 = 75/50(x - 14)
y - 21 = 1.5(x - 14)
y = 1.5x - 21 + 21
y = 1.5x
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Find the new amount.
I had 425 baseball cards and I sold 20% of them.
How many do I have left?
Answer:
425-(425×0.2)
425-85
340
Answer:
340 baseball cards
Step-by-step explanation:
You sold 20% of 420, therefore,
425 - 20% * 425 = 340
You have 340 baseball cards left.
Thenks and mark me brainliest :)
You roll a six-sided number cube and flip a coin.What is the probality of rolling a number less than 2 and flipping heads
Answer:
1 / 12
Step-by-step explanation:
A six - sided coin :
Sample space = (1, 2, 3, 4, 5, 6)
Flipping a number less Than 2
Required outcome = (1)
P(number less Than 2) = required outcome / sole space = 1 / 6
Flipping a head from a coin toss :
Sample space = (H, T)
P(head) = 1 /2
P(number less Than 2 and flipping head) :
= 1/2 * 1 /6
= 1 / 12
What is the solution to the system of equations 3x 2y 7 and Y 3x 11?
The solution of the given system of equations is x = -7/3 and y = 7.
The given system of equations is given as,
3x + 2y = 7
y = 3x + 11
To solve this system of equations, we need to eliminate one of the variables. We can eliminate y by subtracting the second equation from the first.
3x + 2y = 7
y = 3x + 11
⇒ 3x + 2y - y = 7 - 11
⇒ 3x + 2y - 3x - 11 = -4
⇒ 2y - 11 = -4
⇒ 2y = -4 + 11
⇒ 2y = 7
Now, substitute the value of y in the first equation to find the value of x.
3x + 2(7) = 7
⇒ 3x + 14 = 7
⇒ 3x = 7 - 14
⇒ 3x = -7
⇒ x = -7/3
Therefore, the solution of the given system of equations is x = -7/3 and y = 7.
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The linear factors of the cubic are .
Answer:
(x-2)(x - 3)(x - 5)
(x - 2)(x-3)(x - 5)(x + 5)
(x + 2)(x + 3)(x + 5)
(x + 2)(x+3)(x - 5)
Answer:
first option
Step-by-step explanation:
(x-2)(x-3)(x-5)
Trei stilouri și patru creioane costă 35 lei, iar cinci stilouri și două creioane costă 49 lei. Ce rest va primi Maria de la 100 lei , dacă va cumpăra 4 stilouri și 5 creioane?
Answer:
english?
Step-by-step explanation:
please help! you will get brainliest
Answer:
the answer is 1.33333333333
Amanda increased the amount of protein she eats every day from 50 g to 54 g. By what percentage did Amanda increase the amount of protein she eats?
Answer:Amanda increased the amount of protein she eats by 8%
step-by-step explanation:
Initial amount of protein consumed == 50g
Increase in the amount of protein consumed the next day=54 g-50 g =4g
Percentage increase in the amount of protein she eats as the day goes by = Increase/ initial amount consumed x 100
=4/ 50 x 100
=8%
A taxicab company charges $2.30 plus $0.80 per mile. Carmen paid a fare of $11.90. Enter and solve an equation to find the number of miles she traveled. Use m as your variable.
The number of miles the taxicab traveled is 12.
The area of mathematics known as algebra aids in the representation of circumstances or problems into mathematical expressions. To create a meaningful mathematical expression, it takes variables like x, y, and z together with mathematical operations like addition, subtraction, multiplication, and division.
Given that,
The fixed charges = $ 2.30
Additional charges per miles = $ 0.80,
Thus, the additional charges for x number of miles = $ 0.80x
So, the total charges for x number of miles = Fixed charges + additional charges
=> 2.30 + 0.80x
According to the question,
2.30 + 0.80x = 11.90 (this is the required equation)
Subtracting 2.30 from both sides,
0.80x = 9.6
Dividing both sides by 0.80
x = 12
Hence, the taxicab traveled 12 miles.
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Why do chairs have legs?
Answer:
cuz they are chairs
Step-by-step explanation:
Answer:
Chairs have legs so we would not fall.
Step-by-step explanation:
PLS HELP ME
Step-by-step explanation:
I'm not sure what has infinite x-intercepts
can somebody quickly answer this?
Lorraine prepared a 4.5-gallon pot filled with tomatoes to be canned in jars. Each jar will hold 1.25 quarts of tomatoes. If 1 gallon equals 4 quarts, how many jars can Lorraine fill?
Answer:10
Step-by-step explanation:
got the same question
Find the measure of the indicated angle to the nearest degree.
Answer:
? ≈ 20°
Step-by-step explanation:
using the cosine ratio in the right triangle
cos ? = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then
? = [tex]cos^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 20° ( to the nearest degree )
The volume of a right circular cylinder is represented by V = πr ²h
where r is the radius of the base (in feet). What is the radius of a right
circular cylinder when the volume is 144 π cubic feet and the height
is 9 feet?
The diameter of a sphere is 16 cm. What is the sphere's volume? Round to the nearest tenth. A) 971.7 cm3 B) 1072.3 cm3 C) 1137.4 cm3 D) 2143.6 cm3
Answer:
A
Step-by-step explanation:
What decimal is equivalent to - 3 1/8?
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{-3 \dfrac{1}{8}}\\\\\mathsf{= - \dfrac{23}{8}}\\\\\mathsf{-23\div8 }\\\\\mathsf{= \bf -2.875}\\\\\boxed{\boxed{\large\textsf{Answer: \huge \bf -2.875}}}\huge\checkmark[/tex]
[tex]\large\text{Good luck on your assignment and enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Josh exercises no less than 40 minutes per day.
Use t to represent Josh's amount of exercise (in minutes per day).
Answer
x ≥ 40
Step-by-step explanation:
Since Josh only exercises more or equal to 40 min, this is how you would represent this problem.
Practice
Example 1
Use the graphs to determine the number of solutions the system
has. Then state whether the system of equations is consistent or
inconsistent and if it is independent or dependent.
1. y=x-1
y = -x + 1
3. y = x + 4
2x - 2y = 2
5. y = 0.5x
y=x+2
7. 2x - 2y = -4
-10x - 5y = 15
2. x-y=-4
y=x+4
4. y=2x-3
2x - 2y = 2
6. 4x+6y=12
2x + 3y = 6
8. 2x + 3y = 10
4x + 6y = 12
Period
GO Practice Spiral Review Extra Practice
Examples 2 and 3
Graph each system and determine the nu
.
2x+3y=6
y=x+4
x-y=-4
A
y=x-1
y=2x-3
2x+3y=10
y=x+2
Date
2x-2y=-4
.
2x-2y=2
y=-x+
y=0.5x
4x+6y=12
-10x-5y=15
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
what is solution ?a value or set of values that, when used as a stand-in for one or more equation's variables, cause the equation to be true. a strategy or approach for resolving a problem, such as the solutions to the equation x2 = 4 being 2 and -2. a description of a resolution. to be more precise: a group of variable values that satisfy an equation. The equation 3(2)+5=11 states that 6+5=11 is accurate. So, the solution is 2.
given
y = 3x + 1
y = 3x + 1
The two equations are independent and consistent since they cross at a single precise location.
y = 3x + 1
y = x + 3
The two equations are independent and consistent since they cross at a single precise location.
y = x + 3
These two equations are incompatible because they do not intersect.
y = x + 3
To identify which line it is, rearrange the first equation into slope-intercept form.
Since the two equations are identical, they intersect in an infinite number of places. They are consistent and reliant as a result.
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The cost for bowling includes $4.00 for shoes and $4.75 for each
game bowled. Which equation represents the amount, in dollars, y,
for x games bowled?
Answer:
y = 4.75x + 4
Step-by-step explanation:
it would be $4.75 for each game and you would only pay for shows once
The equation that represents the amount, in dollars, y,
for x games bowled is y = 4.00 + 4.75x
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
The cost for bowling includes a fixed cost of $4.00 for shoes, and an additional cost of $4.75 for each game bowled.
y = 4.00 + 4.75x
This equation can be interpreted as follows: the fixed cost of $4.00 is added to the variable cost of $4.75 per game, multiplied by the number of games bowled (x).
The result is the total cost, represented by y
Therefore,
The total cost for x games bowled can be represented by the equation:
y = 4.00 + 4.75x
where y is the total cost in dollars, and x is the number of games bowled.
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Clare Lee is paid a basic wage of $8.00per hour for a 4O-hour week and $9.60 per hour for overtime work. Last week Clare worked 48 hours. What was her total wage for the week
The circular region of the sign (below, left) has an area of 154 square inches. Vanessa would like to place a tiny ribbon (shaded) around the circle's edge. To be sure she has enough ribbon, she decides to buy 2 inches more of the ribbon than the original circle's circumference. How many inches of ribbon will Vanessa need to buy if she estimates $\pi = 22/7 ?
Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
What is the area of circle?
The area of a circle is given by the formula: A = πr^2, where A is the area of the circle, π is a constant (approximately equal to 3.14) and r is the radius of the circle.
Given the area of the circular region is 154 square inches. We can use the formula to find the radius: 154 = πr^2
By substituting π = 22/7 we get:
154 = (22/7)r^2
Solving for r, we get:
r = sqrt(154*7/22)
The circumference of the circle is given by the formula C = 2πr, where C is the circumference and r is the radius.
By substituting the value of r we got before, we get:
C = 2πr = 2*(22/7)sqrt(1547/22)
To be sure she has enough ribbon, Vanessa decides to buy 2 inches more of the ribbon than the original circle's circumference. So she needs to buy:
C + 2 = 2*(22/7)sqrt(1547/22) + 2 inches
Hence, Vanessa needs to buy 2*(22/7)sqrt(1547/22) + 2 inches of ribbon.
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Pls help
Solve by substitution.
6x +Зу = 15
x – 2y = 10
Answer:
y=5 , x= 20
Step-by-step explanation:
6x + 3y = 15
x - 2y = 10
make x subject of the formula in equation two
therefore x = 10 - 2y
substitute the value of x in equation one
6 ( 10 - 2y) + 3y = 15
60 - 12y + 3y = 15
-9y = -45
y = 5 and x = 20
Answer:
{x,y} = {4,-9}
Step-by-step explanation:
// Solve equation [1] for the variable y
[1] y = -6x + 15
// Plug this in for variable y in equation [2]
[2] -7x - 2•(-6x+15) = -10
[2] 5x = 20
// Solve equation [2] for the variable x
[2] 5x = 20
[2] x = 4
// By now we know this much :
x = 4
y = -6x+15
// Use the x value to solve for y
y = -6(4)+15 = -9
Solution :
{x,y} = {4,-9}
Can u sovle 32^3/5 for me please
Answer:
6553.6
Step-by-step explanation:
32^3 = 32 x 32 x 32 = 32768
32768 / 5 = 6553.6
Answer:
6,553.6
Step-by-step explanation:
32^3/5=6,553.6
Hope this helped!!
Bella was here :)
What is the y-intercept of y= -3x + 6
What ordered pair is a solution to 5x -6y = -4
A. (3,-3)
B. (3,3)
C. (4,4)
Answer:
(4,4)
Step-by-step explanation:
5(4)-6(4)=-4
20-24=-4
-4=-4
subtract: 4x/x^2-25 - 2/x^2+2x-15
a. 4x^2-14x+10/(x+5)(x-3)
b. 4x^2-14x-10/(x-5)(x+5)(x-3)
c. 4x^2-14x-10/(x-5)^2(x-3)
d. 4x^2-14x-10/(x-5)(x+5)(x-3)
Answer: [tex]\dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]
Step-by-step explanation:
Given
Subtract the expression
[tex]\Rightarrow \dfrac{4x}{x^2-25}-\dfrac{2}{x^2+2x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{x^2+5x-3x-15}\\\\\Rightarrow \dfrac{4x}{(x-5)(x+5)}-\dfrac{2}{(x+5)(x-3)}\\\\\text{Take the LCM and subtract}\\\\\Rightarrow \dfrac{4x(x-3)-2(x-5)}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-12x-2x+10}{(x-5)(x+5)(x-3)}\\\\\Rightarrow \dfrac{4x^2-14x+10}{(x-5)(x+5)(x-3)}[/tex]
Given that ABC is a straight angle, if ABD measures 75°, then DBC
measures ____°.
Answer: 105
Step-by-step explanation: ABC is an 180 degree angle, and the ABD is 75, so 180-75 is 105!
Hello. Need some help: (put all answers into one comment)
1. If you add 5 to me and then divide by 9, you get 3. what number am I?
2. Equation: 21 ÷ 7 = 3. Write a related multiplication sentence.
3. During Their football season, the Kickerton Kangaroos had a combined total of 16 fumbles. each of the 8 players had the same amount of fumbles. how many fumbles did each player have?
4. If you multiply me by 7, then subtract 2, and then divide by 6, you get 9. what number am I?
Answer:
1. 22
2. 7*3=21
3. 2
4. 8
Step-by-step explanation: (I am not sure what level math you are as you put HS but I used simple algebra in my answers)
1. Using algebra I put the missing variable as x.
"add 5 to me" is x+5.
"divide by 9, you get 3"
[tex]\frac{x+5}{9}[/tex] = 3
Begin solving by multiplying 9 to the 3 on the other side
x+5 = 27
Subtract 5 to get x by itself
x = 22
2. An equivalent multiplication sentence can be found using algebra.
21 ÷ 7 = 3 can be rewritten as [tex]\frac{21}{7} =3[/tex]
Using algebra we know if we multiply 7 onto both sides we end up with
7*3=21
3.
Combined total of 16 fumbles
8 players
Same amount of fumbles
How many fumbles per player?
I would draw this out. You have 8 players and 16 fumbles to allocate to them. You can draw tallies and allocate them to each player. You'll find that the first time they all have the equal amount is when they all have 1 fumble. The next time they all have an equal amount they'll have 2 per and all 16 will be used.
4. Algebra
[tex]\frac{x * 7 - 2}{6} =9[/tex]
First is multiplication: x*7 = 7x
[tex]\frac{7x - 2}{6} =9[/tex]
Then division: Multiply the 6 over because we don't like fractions
[tex]{7x - 2} = 54[/tex]
Next we add the 2 over
[tex]{7x } = 56[/tex]
Then divide by 7 to solve for x
x=8
Graph the image of square KLMN after a translation 6 units left and 4 units up.
The coordinates of the image of the square KLMN are:
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
The graph of the image is given below.
What are coordinates in a graph?The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.
The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.
We have,
The coordinates of the square KLMN are:
K = (6, -5)
L = (8, -5)
M = (8, -3)
N = (6, -3)
Now,
Translation of 6 units left and 4 units up.
This means,
K = (6 - 6, -5 + 4) = (0, -1)
L = (8 - 6, -5 + 4) = (2, -1)
M = (8 - 6, -3 + 4) = (2, 1)
N = (6 - 6, -3 + 4) = (0, 1)
Thus,
The image of the square KLMN will be on the following coordinates.
K = (0, -1)
L = (2, -1)
M = (2, 1)
N = (0, 1)
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2) If 50% of the people in Salmiya prefer Arab Times, 30% prefer Wataniya and the remaining prefer other newspapers, then what percentage of the people prefer other newspapers? If the total number of people are 50000, find the exact number who prefer each type of newspaper.
Therefore, 25000 people prefer Arab Times, 15000 people prefer Wataniya, and 10000 people prefer other newspapers.
Define percentage.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Define Fraction.Any number of equal parts is represented by a fraction, which also represents a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.
For the percentage of people who prefer other newspapers are:
100% - 50% - 30% = 20%
So, 20% of the people in Salmiya prefer other newspapers.
Multiply the percentage of people who prefer each type of newspaper by the total number of people in Salmiya (50000):
Arab Times: 50% * 50000 = 25000 people
Wataniya: 30% * 50000 = 15000 people
Other newspapers: 20% * 50000 = 10000 people
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A person purchased an ounce of gold for $250 in January of 2000. The value of the
gold increased by 23% over the next 10 years. What is the growth factor?
1.35
0.75
0.23
0.64