Kimberly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, string is sold by the yard. If Kimberly wants to get 43 balloons, how many yards of string will she need?
1 foot =
1
_
3
yard
Which tape diagram represents the problem?
The number of yards of string that she will need will be 129 yards.
What is the length?It is the measure of distance between the two points and is known as length. The length is measured in meters generally.
Kimberly is getting balloons for her father's birthday party. She wants each balloon string to be 9 feet long. At the party store, the string is sold by the yard. If Kimberly wants to get 43 balloons.
Then the length of the string in feet is given as,
Length = 9 x 43
Length = 387 feet
Convert the length from feet to yards. Then we have
Length = 387 / 3
Length = 129 yards
The number of yards of string that she will need will be 129 yards.
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On average how many necklaces can Angela make each month
Angela makes 150 necklaces on average each month making necklaces for 2.5 hours each day.
What is an average of given data?
An average of a list of data is a mathematical expression for the centre value of a set of data. It is defined mathematically as the ratio of the total of all the data to the number of units in the list. In statistics, the average of a particular collection of numerical data is also known as the mean.
for e.g.
The average of 2, 3, and 4 equals (2+3+4)/3 = 9/3 = 3. As a result, the central value of 2,3, and 4 is 3. Thus, the definition of average is to determine the mean value of a set of data.
Now,
Angela works 20 days in a month making necklaces for 2.5 hours each day
so, Total hours she worked = 20*2.5
= 50 hours
She makes 3 necklaces in an hour
Hence,
Necklaces made by her on average in a month = 50*3
=150/month
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4. Compare using <, >, or=
.
6/8 - 3/10 ⭕️. 3/10 + 5/8
Answer:
6/8 - 3/10 < 3/10 + 5/8
Step-by-step explanation:
6/8 - 3/10 ⭕️. 3/10 + 5/8
60/80 - 24/80 ⭕️ 24/80 + 50/80
36/80 < 74/80
So, the answer is
6/8 - 3/10 < 3/10 + 5/8
What is the probability of flipping a fair coin and getting heads all 3 times?
Answer:
[tex]\frac{1}{8}[/tex]
Step-by-step explanation:
Remember that flipping it on heads has 49.999999
1/2 x 1/2 x 1/2 so ye
About not exact though
An adult ticket for the cinema cost £12.80 actual ticket is half the price of an adult ticket Mr and Mrs Henderson and the six children go to see a movie Mrs Henderson has a voucher for 22% off how much money does she save
Total saving by the Henderson's Family is £ 14.08 by using percentage and equations .
What is System of Equation ?A system of equations comprises two or more equations and seeks common solutions to the equations. "A system of linear equations is a set of equations which are satisfied by the same set of variables."
A finite collection of equations for which we searched for the common solutions is referred to as a system of equations, also known as a set of simultaneous equations or an equation system. Similar to single equations, a system of equations can be categorized. In everyday life, systems of equations are used to model issues when the unknown values may be represented by variables.
A system of equations has only one unique solution if the L.H.S. and R.H.S. of all the provided equations in the system are identical when the variable or point of intersection of the lines representing those equations is substituted.
cost of Adult ticket is £12.80
cost of actual ticket is £12.80/2 = £ 6.40
Total cost of tickets = 2*12.80 + 6.40*6 = £ 64
After appling the voucher , cost of all tickets = (100- 22) % of 64 =
78% of 64.
78/100 * 64 = £ 49. 92
Total saving is £ (64 - 49.92) = £ 14.08
Total saving by the Henderson's Family is £ 14.08
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The Farmer wants to provide an area of 20 square meters for each rabbit. Which of these is true? Choose all that are correct.
a) The perimeter of the field is approximately 300 meters
b) The perimeter of the field is approximately 316 meters
c) The field will hold a total of 270 rabbits
d) The area of the field is 6,000 square meters
e) The field will hold a total of 300 rabbits
None of the given statements are true.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
From the given diagram of the rectangle,
The length of the rectangle is 6 units and the width of the rectangle is 4 units.
So, The perimeter of the rectangle is, 2(6 + 4) = 20 meters.
The area of the rectangle is, (6×4) = 24 square meters.
From the given statements none of the statements are true.
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Jada is solving the equation shown below. Negative one-half (x + 4) = 6 Which is a possible first step to begin to simplify the equation? Select two options. Divide both sides of the equation by –2. Subtract 4 from both sides of the equation. Multiply both sides of the equation by –2. Distribute –2 over (x + 4). Distribute Negative one-half over (x + 4).
The first step to solve the equation -1/2(x+4) = 6 is to multiply both sides by -2
What are linear equation?A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line.
The equation -1/2( x+4) = 6 is an example of linear equation. It is a linear equation with one variable and x is the variable.
The equation -1/2(x+4) = 6
multiply both sides by -2
-1/2( x+4) ×-2 = 6 ×-2
x+4 = -12
collect like terms
x= -12-4
x = -16
therefore the first step to solve the equation is to multiply both sides by -2
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simplify the square root of 24
Answer:
4.89
Step-by-step explanation:
√24 gives the answer above
Dedham bought 4 cds that were each the same price. Including sales tax, he paid a total of $63.60. Of that total, $2.80 was tax. What was the price of each CD before tax?
Im stuck please help me with this
Answer:
55°
Step-by-step explanation:
First look at the 130. Since we know all these lines are straight, that means 130 and the angle adjacent to it is a supplementary angle. This means that you can take 180 and subtract 130 to get the inside angle. Now that you have two of three angles of the triangle, you can take 180 and subtract both of the known angles to get your final answer.
Write an equation in point-slope form for the given point and slope: (-5,-7); m=-7
Answer:
y + 7 = -7(x + 5)
Step-by-step explanation:
Point-slope form is [tex]y - y_{1} = m(x - x_{1} )[/tex]
y1= -7 , x1= -5
Substitute (-5,-7) and m=-7 into the equation
y - ( -7) = -7(x - (-5))
y - ( -7) = -7(x + 5)
y + 7 = -7(x + 5)
Seven times the difference of a number and eight is seven less than six times the number. Find the number. Round your answer to the nearest integer, if necessary.
Answer:
hi (●’◡’●)ﾉ blablablablablablablabla
What are the Vertical asymptotes
Answer:
Step-by-step explanation:
Vertical asymptotes are vertical lines which correspond to the zeroes of the denominator of a rational function. (They can also arise in other contexts, such as logarithms, but you'll almost certainly first encounter asymptotes in the context of rationals
i need help with #1-6 please!!
The inverse function returns the original value for which a function gave the output.
What is Inverse Function?A function that can reverse into another function is known as an inverse function or anti function. In other words, the inverse of a function "f" will take y to x if any function "f" takes x to y. When a function is written as "f" or "F," its inverse is written as "f-1" or "F-1." Here, (-1) should not be confused with an exponent or a reciprocal.
If f and g are inverse functions, then f(x) = y if and only if g(y) = xIn trigonometry, the inverse sine function is used to find the measure of angle for which sine function generated the value. For example, sin-1(1) = sin-1(sin 90) = 90 degrees. Hence, sin 90 degrees is equal to 1.If you consider functions, f and g are inverse, f(g(x)) = g(f(x)) = x. A function that consists of its inverse fetches the original value.Example: f(x) = 2x + 5 = y
Then, g(y) = (y-5)/2 = x is the inverse of f(x).
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Find the values of sine, cosine, tangent, cosecant, secant, and cotangent for the angle θ in standard position on the coordinate plane with the point (9,4) on its terminal side.
sin θ =
cos θ =
tan θ =
csc θ =
sec θ =
cot θ =
The values for the trigonometric functions for given coordinates are,
sin θ = 0.406, cos θ = 0.914,
tan θ = 0.444, cosec θ = 2.46,
sec θ = 1.04, cot θ = 2.25
What are trigonometric functions?The ratio of sides of a right-angled triangle is the basis for trigonometric functions and identities. Trigonometric formulas are used to determine the sine, cosine, tangent, secant, and cotangent values for the perpendicular side, hypotenuse, and base of a right triangle.
Given the standard position on the coordinate plane with the point (9,4)
x = 9 and y = 4
Start by sketching the related triangle and the terminal side in the standard position.
Calculate the hypotenuse's missing side using the Pythagorean Theorem.
so h² = 4² + 9²
h² = 16 + 81
h² =97
h = √97
so sinθ = y/h = 4/√97 = 0.406
cosθ = x/h = 9/√97 = 0.914
tanθ = y/x = 4/9 = 0.444
cosecθ = h/y = √97/4 = 2.46
secθ= h/x = √97/9 = 1.04
cotθ = x/y = 9/4 = 2.25
Hence values for functions are,
sin θ = 0.406, cos θ = 0.914,
tan θ = 0.444, cosec θ = 2.46,
sec θ = 1.04, cot θ = 2.25
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Which of the following angles is a coterminal angle with 40 degrees? -400 degrees 140 degrees -320 degrees 50 degrees
The answer choice which represents an angle which is co-terminal with the given angle 40° is; -320 degrees.
Which answer choice represents a co-terminal angle with 40°?It follows from the task content that the answer choice which represents an angle which is co-terminal with 40° is to be determined.
Co-terminal angles are related such that if x and y are co-terminal angles;
x = y - 360°n
where n represents integer values.
On this note, the angle which is co-terminal with 40° is;
x = 40° - 360°
x = -320°.
Hence, the answer choice which represents an angle that is co-terminal with 40° is; -320°.
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In parallelogram GHJK if JL=16 find LG
Answer:16
Step-by-step explanation:
it’s the same as Jl
solve the equation 7=10s-3
Answer: s=1
Step-by-step explanation:
How many groups of 1 2/3 are in each of the following quantities?
a. 1 5/6
b. 4 1/3
c. 5/6
Answer:a. There are 1 group of 1 2/3 in 1 5/6.
b. There are 2 groups of 1 2/3 in 4 1/3.
c. There are 0 groups of 1 2/3 in 5/6.
Which statement about ABC and DEF is true? A picture shows triangle A B C and triangle D E F. Triangle A B C: Side A B is 5. Side B C is 8. Side C A is 6. Triangle D E F: Side D E is 10. Side E F is 16. Side F D is 12.
Question
Which system of inequalities is shown in the graph?
-5
5
-5
OA. yz 2x-2
yzx²2²-3x
OB. ys 2x-2
yz x²-3x
OC. ys-2x-2
y≤ x²-3x
OD. y≤2x-2
y≤ x²-3x
SUBMIT
The inequality system represented by the graph is Option A: y = x + 3; y = x2 - 3x.
What is the system of inequality?We can see from the inequality graph that one of the shaded zones is below the parabola and the other is between the parabola and the bottom of the line.
Due to the thickness of the boundary lines and the fact that both shaded regions are below their respective parabola and line borders, we will use the "less than or equal to" indications for each inequality.
Because both A and D use inequality signals with "less than or equal to," the correct response is between them.
Therefore, option A is the right response.
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How many solutions does the system of equations below have? y = 7 10 x + 6 y = 7 10 x + 6
The number of solutions to the equation y = ( 7/10 )x + 6y is infinite number of solutions as the equations are the same
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
y = ( 7/10 )x + 6y be equation (1)
Let the second equation be represented as B
The value of B is
y = ( 7/10 )x + 6y be equation (2)
Now , on simplifying both the equations , we get
equation (1) = equation (2)
Substituting the values in the equation , we get
( 7/10 )x + 6y = ( 7/10 )x + 6y
So, the system of an equation has infinitely many solutions when the lines are coincident, and they have the same y-intercept.
Hence , the number of solutions to the equations are infinite
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A soccer field is 115 yards (yd) long by 70 yd wide.
What is the length of the diagonal of a soccer field?
Round your answer to the nearest tenth.
a. Model the problem.
b. State Pythagorean Theorem
c. Substitute given values
d. Solve for the unknown
(yd)
225
a² + b² = c²
1²+ -
According to the Pythagorean theorem, the hypotenuse's square of a right triangle equals the sum of its two other sides' squares.
What is meant by Pythagorean Theorem?The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).
With the aid of the Pythagorean Theorem, we may determine the side lengths of a right triangle by adding the areas of three intersecting squares. The base for more intricate trigonometry ideas, such as the Pythagorean theorem's opposite, is provided by this theorem, which is a very helpful tool.
Therefore, the correct answer is option b. State Pythagorean Theorem.
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What is the relationship between the ratios?
0.2/2.6 and 0.3/3.6
Drag and drop a term into the box to correctly complete the statement.
Answer:
proportional
Step-by-step explanation:
test = 100%
Answer: The correct answer is that it is proportional?
2(n + 1) = 2n
Given the equation above...what number can be replaced for n so that this equation will always be true?
There is no possible solution such that the given equation will always be true. The conclusion is drawn using concept of linear equation.
What is a linear equation?
A linear equation is one that has the highest degree of 1 possible. This indicates that there are no variables in a linear equation with exponents greater than 1. Such an equation on the graph, forms a straight line.
We are given equation- 2(n + 1) = 2n
On distributing, we get
⇒2n+2=2n
Now, subtracting 2 from both sides, we get
⇒2n+2-2=2n-2
⇒2n=2n-2
On subtracting 2n from both sides, we get
⇒2n-2n=2n-2-2n
⇒0≠2
Hence, the given equation does not have a solution.
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A chemical company manufactures silicon carbide and silicon tetrachloride. It takes 1.5 kg of silica and 0.6 kg of carbon to make 1 kg of silicon carbide. On the other hand, 1 kg of silicon tetrachloride requires 0.35 kg of silica, 0.14 kg of carbon, and 0.84 kg of chlorine. The manufacturer has 105 kg of silica, 84 kg of carbon, and 126 kg of chlorine in stock. If they make $320 profit on 1 kg of silicon carbide and $250 on 1 kg of silicon tetrachloride, how much of each should they produce?
A percentage can be larger than 100 and a fraction can be greater than 1.
What is meant by percentage?A percentage is a figure or ratio that can be stated as a fraction of 100 in mathematics. If we need to determine a percentage of a number, multiply it by 100 and divide it by the total. So, a part per hundred is what the percentage refers to. Percent signifies for every 100. The sign "%" is used to denote it.
A percentage can be larger than 100 and a fraction can be greater than 1. We are limited to looking at the whole only when the fraction or percentage relates to a portion of it.
In addition to being stated as a decimal or a fraction, a percentage is a number that indicates how many out of 100 it is. Three for the price of one! Simply enter the % as the numerator and 100 as the denominator to convert the percentage to a fraction.
Therefore, the correct answer is 35%.
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What is the slope of the line
Answer:
3/2
Step-by-step explanation:
Find 2 easy to read points: (1, -3) and (3, 0).
slope = (difference in y)/(difference in x)
slope = (-3 - 0)/(1 - 3)
slope = -3/(-2)
slope = 3/2
how to find the measure of an exterior angle geometry
The total of the measurements of the two non-adjacent internal angles of a triangle determines the size of its exterior angle.
What is Exterior Angle ?The angle created when a transversal cuts one of two lines and is located outside of the line. It describes the angle between a side of a polygon and an expanded neighboring side.
Exterior angles are those that run parallel to a polygon's inner angles but are located outside of it. The sum of the two internal opposed angles determines the size of an outside angle.
The angle between any side of a form and a line that extends from the next side is known as the exterior angle. The result of adding the interior and outside angles is a 180° straight line. "Supplementary Angles" is what they are.
The total of the measurements of the two non-adjacent internal angles of a triangle determines the size of its outer angle.
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Which expression is modeled by the number line?
O−6+(-4)
O-6+4
06-4
O-6-(-4)
Answer:
O-6-(-4)
Step-by-step explanation:
The expression O-6-(-4) is modeled by the number line. To evaluate this expression, we simplify the parentheses first. Since -4 is inside parentheses with a negative sign in front, we change the sign to positive: O-6-(+4). Then we perform the subtraction: O-(6+4) = O-10. This means that the point O is 10 units to the right of the point (-10) on the number line.
Amy swims for the same amount of time every morning. Every evening she swims 1 1/2 times as many minutes as she does in the morning. Each day she swims for 50 minutes. How many minutes does she swim in the evening
In the evening Amy swims for 30 minutes, as per the given condition.
What are equation models?The equation model is defined as the model of the given situation in the form of an equation using variables and constants.
Here,
Let Amy swim x minutes in the morning,
So in the evening, she swims for 1 1/2 × x minutes,
According to the quesiton,
Each day she swims for 50 minutes.
x + 1 1/2 x = 50
5x/ 2 = 50
x = 20 minutes
Now,
In the evening,
= 3/2x
= 3/2{20}
= 30 minutes
Thus, in the evening Amy swims for 30 minutes.
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