The stock purchased for $77 grew by 17.9%, which equals an increase of $13.78. Therefore, the current stock price is $90.78.
Explanation:To solve this problem, we need to calculate the percent increase of the stock's price. A percent increase of 17.9% means that the stock price has increased by 17.9% of the original price. To calculate the amount of the increase, we multiply the original price ($77) by the percent increase (17.9%), remembering to convert the percentage to a decimal (0.179).
So, $77 times 0.179 equals ~$13.78. This is the amount by which the stock price has increased. To find the new price of the stock, we add this increase to the original price, which gives us $77 (Original price) + $13.78 (Increase) = $90.78, so the stock is worth $90.78 now.
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Hong Kong’s tallest building international is 88 stories tall.
the former Sears Tower is eight stories taller than the Empire State Building. if all the buildings were stacked on top of each other the combine Heights would have 300 stories. how many stories does the Sears Tower have?
Final answer:
The Sears Tower has 110 stories. We found this by setting up an equation with the given information and solving for the number of stories in the Sears Tower.
Explanation:
To find out how many stories the Sears Tower has, we need to set up an equation using the information provided.
We know that Hong Kong's tallest building (International) is 88 stories tall, and the combined height of all the buildings stacked on top of each other is 300 stories. Let's assign the variable S to represent the number of stories in the Sears Tower and E to represent the number of stories in the Empire State Building. According to the question, the Sears Tower is eight stories taller than the Empire State Building, so we can express this relationship as S = E + 8.
Now, let's add up the stories of all three buildings: Hong Kong's International + Sears Tower + Empire State Building = 300. Substituting the given information and our variable S, we get the equation 88 + S + (S - 8) = 300.
Let's solve this equation:
Combine like terms: 88 + 2S - 8 = 300.Simplify: 2S + 80 = 300.Subtract 80 from both sides: 2S = 220.Divide both sides by 2: S = 110.Therefore, the Sears Tower has 110 stories.
A table is cut and placed along a wall. After its cut, the edge along the wall is 6 feet. What is the area of the table after it's cut in half?
Please help! I'm confused
Answer:
18 square feet
Step-by-step explanation:
the table was most likely 6 by 6 before getting cut. that is an area of 36 you could half that making 18 or make one of the 6s a 3 so it is 3 by 6 after the table is cut.
One number is 20 greater than another. If the lesser number is subtracted from three times the greater number, the difference is 84. Find the numbers.
Answer:
The numbers are 12 and 32.
Step-by-step explanation:
x = One number
x - 20 = Another number
3x - (x - 20) = 84 (If the lesser number is subtracted from three times the greater number, the difference is 84)
Let's solve for x, this way:
3x - (x - 20) = 84
3x - x + 20 = 84
2x = 84 - 20 (Subtracting 20 at both sides)
2x = 64
x = 64/2
x = 32 ⇒ x - 20 = 12
For the given problem, by denoting the lesser number as 'x', we can form and solve an algebraic equation to find 'x=12' and 'x+20=32', which are the lesser and the greater numbers respectively.
Explanation:This problem involves the concepts of algebraic equations. Let's denote the lesser number as 'x'. Therefore, the greater number becomes 'x+20' because it is 20 more than the lesser number. The problem states that three times the greater number subtracted by the lesser number is 84. So, we can translate that into the equation: 3*(x+20) - x = 84.
Solving this equation we get: 3x + 60 - x = 84, which simplifies further to 2x + 60 = 84. Deducting 60 from both sides gives 2x = 24. Finally, dividing by 2 gives x = 12 which is the lesser number. So the greater number becomes x + 20 = 12 + 20 = 32.
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Algebra 1, Section 7.10
Answer:
Option D, 7xy^5 + 2y^2 - 10
Step-by-step explanation:
Step 1: Pull out 3xy from all of the top
[tex]\frac{3xy(7xy^5+2y^2-10)}{3xy}[/tex]
The 3xy on top and the 3xy cancel to make: 7xy^5 + 2y^2 - 10
Answer: Option D, 7xy^5 + 2y^2 - 10
Write an expression to represent
22 less than x
Answer:
x-22
Step-by-step explanation:
The expression representing the value 22 less than x is x - 22.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
The given statement is that 22 is less than x. The expression will be written as below,
E = 22 less than x
E = x - 22
Therefore, the expression representing the value 22 less than x is x - 22.
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Each notebook contains 60 sheets of paper. Andre has 5 notebooks. How many sheets of paper do Andre's notebooks contain?
i. y = 60 ÷5
ii.y = 5 x 60
iii. y/5 =60
iv. 5y = 60
Answer:
Step-by-step explanation:
i. y = 60 ÷5
The correct expression would be 5y = 60, so 12 sheets of paper do Andre's notebooks contain.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that Each notebook contains 60 sheets of paper. Andre has 5 notebooks.
We need to find the number of sheets of paper do Andre's notebooks contain.
Therefore, using unitary method
60 sheets of paper = 5 notebooks.
y sheets of paper = 5y/ 60 notebooks.
= 60/5 = 12
The answer is 5y = 60
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evaluate expression 1/2a-5b when a= -12 and b= -3
Answer: 9
Step-by-step explanation:
1/2 * -12= -6
5*-3= -15
-15- (-6)= -9
What is the height of an object thrown when time is 6 seconds? Also explain how u got your answer
Answer:
[tex]946.4\ m[/tex]
Step-by-step explanation:
Let
h(t) ---> the height of an object in meters
t ----> the time in seconds
we have
[tex]h(t)=-2.6t^2+40t+800[/tex]
For t=6 sec
substitute in the quadratic equation the value of t and solve for h
[tex]h(6)=-2.6(6)^2+40(6)+800[/tex]
[tex]h(6)=946.4\ m[/tex]
a subtraction equation with one variable that has a solution of 2/3
Answer:
-4 +3x = -2
Step-by-step explanation:
the equation will give x = 2/3
3x = -2 +4
3x = 2
x = 2/3
brainliest please :)
When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0
To create a subtraction equation with one variable that has a solution of 2/3 , follow these steps:
Step 1: Define a variable. Let's use x as the variable.
Step 2: Formulate the equation using subtraction. The equation should represent a situation where when 2/3 is subtracted from a number, the result is zero.
Mathematically, the equation can be written as:
x - (2/3) =0
Step 3: To verify that x - (2/3) is the solution, solve the equation by isolating the variable x.
x=2/3
This equation represents a subtraction scenario where 2/3 is subtracted from x resulting in zero. When x is replaced by 2/3.in the equation, it satisfies the equation, making 2/3 the solution that satisfies the equation x - (2/3) =0
Complete Question:
Write the equations described below.a subtraction equation with one variable that has a solution of 2/3.
Subtract
5 + 5q - (3q - y)
Answer:
2q+y+5
Step-by-step explanation:
Simplify the expression
Joe has 30 vegetables. He wants to increase the amount vegetables by 60%. How many vegetables would he have?
Answer: 48 vegetables
Step-by-step explanation:
30 vegetables
Increase is by 60% = 0.6 x 30= 18
30+18= 48 vegetables
Answer:
48
Step-by-step explanation:
30 x 60% (.60) = 18.
30 + 18 = 48
A ______ is e ratio of a number to 100
a rectangle is 5 cm and other side is 3cm what is the perimeter of the rectangle? also what is the are of the same rectangle?
Answer:
Perimeter: 16 centimeters
Area: 15 square centimeters
I hope this helps! :)
Answer:
Step-by-step explanation:
so, the perimeter is 5+5+3+3 which is 16
and the area is 5 x 3 so it is 15
The recipe for a dozen muffins calls for 4 teaspoons of vanilla. Tyler is making 6 dozen muffins for a bake sale.
How many tablespoons of vanilla does he need? Remember: 1 tablespoon = 3 teaspoons.
Answer:
12
Step-by-step explanation:
3X4=12
Answer:
8 tablespoons
Step-by-step explanation:
its is 8 because 4 teaspoons per dozen and there are 6 dozens so 4 times 6 is 24, then 24 divided by 3 because thats how many teaspoons are in 1 tablespoon so its 8 tablespoons
Which of the following are equivalent to 104? Select all that apply.
0.0001
0.0001
104
1.1.1.1
10 10 10 10
10. 10.10.10
Sam says the longest ski trail is more than three times the length of the shortest ski trail. Eli says it is less than three times the length. Who is correct? Explain.
Answer:
Sam
Step-by-step explanation:
Sam: Longest ski trail >3x x = shortest ski trail
Eli: Longest ski train< 3x
Sam is correct because the longest ski trail has to be greater than the shortest and it can't be less than.
What is the length of the rectangle?
Step-by-step explanation:
[tex]area \: of \: rectangle \: = 60 \: {yards}^{2} \\ \therefore \: (w + 4) \times \: w = 60\\ \\ \therefore \: {w}^{2} + 4w -60 = 0 \\ \\ \therefore \: {w}^{2} + 10w - 6w -60 = 0 \\ \\ \therefore \: w({w} + 10) - 6(w + 10)= 0 \\ \\ \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\ \therefore \: {w} = - 10 \: or \: w = 6 \\ \because \: sides \: of \: rectangle \: cant \: be \: negative \\ \therefore \: w \neq \: - 10 \\ \\ \therefore \: w = 6 \\ \\ \therefore \: w + 4 = 6 + 4 = 10 \\ \\ length \: of \: rectangle \: = 10 \: yards.[/tex]
The length of a rectangle is 10 yards, and its width is 6 yards. The rectangle's area is 60 square yards. The length is 4 yards more than the width.
Let's call the width of the rectangle "W" in yards. According to the information given, the length of the rectangle is 4 more than the width, so the length can be represented as "W + 4" yards.
The formula for the area (A) of a rectangle is:
A = Length × Width
In this case, we know that the area is 60 square yards, so we can set up the equation:
60 = (W + 4) × W
Now, we can solve for the width (W). First, expand the equation:
60 = W^2 + 4W
Next, rearrange the equation to set it equal to zero:
W^2 + 4W - 60 = 0
Now, we can solve this quadratic equation for W. You can do this by factoring, completing the square, or using the quadratic formula. In this case, I'll use the quadratic formula:
W = (-b ± √(b^2 - 4ac)) / (2a)
In this equation, a = 1, b = 4, and c = -60. Plug these values into the formula:
W = (-4 ± √(4^2 - 4 * 1 * (-60))) / (2 * 1)
W = (-4 ± √(16 + 240)) / 2
W = (-4 ± √256) / 2
W = (-4 ± 16) / 2
Now, you have two potential solutions for W:
1. W = (-4 + 16) / 2 = 12/2 = 6
2. W = (-4 - 16) / 2 = -20/2 = -10
Since the width of the rectangle cannot be negative, we take the positive value, which is W = 6 yards.
Now that we know the width, we can find the length, which is W + 4:
Length = 6 + 4 = 10 yards
So, the length of the rectangle is 10 yards.
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Angle KJL measures (7x-8)° Angle KML measures (3x +
What is the measure of are KL?
8)º
JM
20
40
48
96°
Answer:
40°
Step-by-step explanation:
Answer:
40
Step-by-step explanation:
A rectangle has an area of 56 square inches and a perimeter of 36 inches.
Complete the table and write a system of equations to represent the length and width of the rectangle.
Answer:
Table #1:
Length (L) | Width (W) | Area (56)
Table #2:
Length (2L) | Width (2W) | Perimeter (36)
Equation #1: L · W = 56
Equation #2: 2L + 2W = 36
Step-by-step explanation:
The following are the formulas used to find the area and the perimeter of a rectangle:
Area = L · W
Perimeter = L + L + W + W
If you group common variables, you can simplify the formula used to find the perimeter down to:
Perimeter = L + L + W + W
Perimeter = 2L + 2W (Since you're adding 2 of each)
Using these formulas, we can insert our values into them. We know that the rectangle has an area of 56 square inches meaning:
L · W = 56
We know that the rectangle has a perimeter of 36 inches meaning:
2L + 2W = 36
Answer:
Table #1:
Length (L) | Width (W) | Area (56)
Table #2:
Length (2L) | Width (2W) | Perimeter (36)
Equation #1: L · W = 56
Equation #2: 2L + 2W = 36
Step-by-step explanation:
What is the x and y intercept of this equation 12x+4y=24
Answer:
y = 6,x = 2
Step-by-step explanation:
Answer:y = 6,x = 2
Step-by-step explanation:Geometric figure: Straight Line
Slope = -6.000/2.000 = -3.000
x-intercept = 6/3 = 2
y-intercept = 6/1 = 6.00000
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
12*x+4*y-(24)=0
Step by step solution :
Step 1 :
Pulling out like terms :
1.1 Pull out like factors :
12x + 4y - 24 = 4 • (3x + y - 6)
Equation at the end of step 1 :
Step 2 :
Equations which are never true :
2.1 Solve : 4 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
2.2 Solve 3x+y-6 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 3x+y-6 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 6/1 so this line "cuts" the y axis at y= 6.00000
y-intercept = 6/1 = 6.00000
Calculate the X-Intercept :
When y = 0 the value of x is 2/1 Our line therefore "cuts" the x axis at x= 2.00000
x-intercept = 6/3 = 2
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 6.000 and for x=2.000, the value of y is -0.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -0.000 - 6.000 = -6.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -6.000/2.000 = -3.000
Geometric figure: Straight Line
Slope = -6.000/2.000 = -3.000
x-intercept = 6/3 = 2
y-intercept = 6/1 = 6.00000
What is the probability of picking a p
Answer:
1/26
Step-by-step explanation:
the probably is 1/26 becasue there is 26 letter in the alphabet
Write the equation of a line in y = mx + b form that has a slope
of 7/3 and a y-intercept of 2.
Answer:
y = 7/3 x + 2
Step-by-step explanation:
y = mx+b is the slope intercept form of a line
where m is the slope and b is the y intercept
Substituting in what we know
y = 7/3 x + 2
i need help with this question please
arc ABC = 4π[tex]\frac{134}{180}[/tex]
Step-by-step explanation:
Given,
∠BOA = 51° and ∠AOC=83°
We take O as the center
So, ∠BOC = 51°+83° = 134°
To find the arc ABC
Formula,
The relation between arc and radius is, s = rθ where s be the arc and θ be the angle measured in radian]
θ degree = θΠ×[tex]\frac{1}{180}[/tex] in radian
Hence,
arc ABC = 4π[tex]\frac{134}{180}[/tex]
please help answer this
Answer: x=46
Step-by-step explanation:
Answer:
46 degrees
Step-by-step explanation:
There are 180 degrees in a straight angle. Take 134 and subtract it from 180 to get your answer of 46 degrees.
Camille has a collection of 61 nickels and quarters worth $6.85. How many of each coin does she have?
Answer: 42 nickles 19 quarters
hope this was helpful
Camille has 42nickels and 19 quarters.
What is the relation between product and price?
The price depends on how much amount of product one has/consumes.
How to calculate the number of nickels and quarters?Let, Camille has 'y' no. of nickels.
Therefore, she has (61-y) no. of quarters.
We know that,
1 nickel = 5cents
1 quarter =25 cents
$6.85 = 685cents (as 1 dollar = 100cents)
now,
5*y+25*(61-y)=685
or,5y-25y=685-1525
or, 20y = 840
or, y= 42
Therefore, Camille has 42 nickels and (62-41)=19 quarters.
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2,156 to the nearest thousand
Answer:
2000
Step-by-step explanation:
2000 is closer than 3000.
The sum of two numbers is 8 and the difference is 2
Answer: 2
x+x=8-2
2x=4
Divide:
4/2=2
x=2
Answer: 5 and 3
Step-by-step explanation:
From the question,
Let the first number be x
And the second be y
x + y= 8
x- y= 2
Add the equations
x + y + x - y = 8 + 2
2x= 10
x=5
Slot the value of x into any of the equations: x +y = 8
5+ y= 8
y= 8 - 5
y = 3
Solve the equation for x, x-3= -x+5
Answer:
x=4
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Hope this helps!!! Brainliest is appreciated.
x−3=−x+5
Add x to both sides.
x−3+x=−x+5+x
2x−3=5
Add 3 to both sides.
2x−3+3=5+3
2x=8
Divide both sides by 2.
2x /2 = 8 /2
x= 4
PLEASE ANSWERRRRRRRRRR
True or False: In Electromagnetic waves the frequency of the wave determines how much energy that wave carries.
Answer:
True
Step-by-step explanation:
Answer: True
Step-by-step explanation:
In electromagnetic waves, the more the work, the greater the energy expended.
how do I solve system of equations elimination method
Answer:
Step-by-step explanation:
Let's say we have 2x-y=4, and 4x-3=5y. So, elimination is basically what the name is. You eliminate one variable by subtracting and then plug in that variable to find the other one. So,
4x-3=5y
2x-y=4
Multiply 2x-y=4 by 2, to make it equal to the x value in the top.
4x-3=5y
-
4x-2y=8
Now, you can subtract the equations. You Eliminate the 4x, then you get
-3-2y=5y-8
Then you solve for y
y=7/5
then you plug y into the equation
4x-3 = (7/5)5
4x-3=7
4x=10
x=5/2
And you have your solution ----> (5/2, 7/5) is where the lines intersect.
Hope that helps!