The number of flowers that can be planted in 1 hour is 6 flowers.
What is cross-multiplication?To solve equations or determine the value of a variable, cross multiplication is employed in mathematical operations. In this procedure, the numerator of one side is multiplied by the denominator of the other side.
Given that the time required to plant trees is:
3. 5 hours = 21 flowers
Convert 3.5 hours into minutes.
3 hours 60 = 180 minutes,
Additional half hour can be represented as: 1/2 hours 60 = 30 minutes.
Total hours is 180 + 30 = 210 minutes.
So it takes, 210 minutes to plant 21 flowers.
The time taken to plant flowers in 60 minutes is:
[tex]x = \frac{(21)(60)}{210} \\\\x=6[/tex]
Hence, the number of plants that can be planted in 1 hour is 6 flowers.
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please help asap !! due at 11
Answer:
x=6x okay that should help
4. y=-7x³ + 3x² + 12x - 1
Degree:
Leading Coeff:
End Behavior:
Answer:
leading coff=-7
degree=3
Step-by-step explanation:
y=-6x-7 7x+y=-3 substitution
By substitution; x = 4 and y = -31
What is an equation?An equation is a mathematical statement that shows that two mathematical expressions are equal. It shows the relationship of equality between the expression written on the left side with the expression written on the right side. Equations can be solved to find the value of an unknown variable representing an unknown quantity.
y=-6x-7 --- 1
7x+y=-3 --- 2
Substituting y as 6x - 7 in equation 2
7x + (-6x - 7) = -3
7x - 6x - 7 = -3
x - 7 = -3
x = -3 + 7
x = 4
Substitute x as 4 in equation 1
y = -6x - 7
y = -6(4) - 7
y = -24 - 7
y = -31
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A retailer has some sweaters that cost her$38 each she wants to make a profit of 20% of her cost. What price should she charge for each sweater
The retailer's selling price per sweater should be $45.60 if she wants to make a profit of 20% of her cost price (markup) of $38.
How is the selling price determined?The selling price is the marked-up cost.
The markup is the percentage added to the cost price to achieve a target profit percentage.
Cost price per unit = $38
Target profit = 20%
Selling price = $45.60 ($38 x 1.2)
Thus, for the retailer to make a profit of 20% of her cost, she must sell each sweater for $45.60.
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identify the domain x + 4/ x2 + x - 12
The domain of the given function f(x) = (x + 4)/x² + x - 12 is given by {x|x ≠ 3, 4}.
What is a domain?In Mathematics, a domain simply refers to the set of all real numbers for which a particular function is defined. In Mathematics, the horizontal extent of a graph represents all domain values (input values) and they are read and written from smaller to larger numerical values, and from the left of a graph to the right.
By critically observing the graph of this function f(x) = (x + 4)/x² + x - 12 shown in the image attached below, we can reasonably and logically deduce the following domain and range:
Domain = (-∞, 4) U (-4, 3) U (3, ∞); {x|x ≠ 3, 4}.
Range = (-∞, -1/7) U (-1/7, 0) U (0, ∞); {y|y ≠ 0, -1/7}.
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Find the next three numbers in the pattern. Write your answer as decimals 4.1, 4.5, 4.9, 5.3,
Answer:
The pattern is +4
4.1, 4.5, 4.9, 5.3, 5.7, 6.1, 6.5, 6.9
Step-by-step explanation:
You're welcome.
Answer:
Step-by-step explanation:
gap in partten is 4 any doubt
What is (6 − 2) ÷ 1/4 = ???
Answer: your answer is 16!
Step-by-step explanation:
Please state which property allows each of the statements to be true. A list of properties
has been given to you. Please use those letters to fill in the blanks.
1.
2.
3.
4.
5.
6829)
6.
7.
8.
9.
If 9x - 2 = 21, then 9x = 23.
If 3(x + 5) = 24, then 3x + 15 = 24.
If 3x + 15 = 24, then 3x = 9.
If 3x = 9, then x = 3.
If a = 7, then 7 = a.
If x/2 = 3, then x = 6.
If 2x + y = 3 and x = 9, then 2(9) + y = 3.
X = X.
If a = b and b = 2, then a = 2.
A.
B.
Addition Property of Equality
Subtraction Property of Equalit
Multiplication Property of Equa
Division Property of Equality
Reflexive Property of Equality
Symmetric Property of Equalit
Transitive Property of Equality
H. Substitution Property of Equa
Distributive Property
F.
G.
1.
C.
D.
E.
Addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root qualities are the main nine properties of equality.
What is the properties of equality?The nine basic characteristics of equality are addition, subtraction, multiplication, division, reflexive, symmetric, transitive, substitution, and square root. Real number-based algebraic problems can be resolved with the aid of the addition, subtraction, multiplication, and division properties of equality.
When you add the same amount to both sides of an equation that has two equal expressions, the equation will stay equal. Finding the value of the variable that makes an equation true is the process of solving an equation.
The Subtraction Property of Equality asserts that when an equal value is subtracted from or removed from two equal objects, a new equal quantity is created. A mathematical statement with two equivalent sides is denoted by an equal sign. The formula for the subtraction property is if a = b, then a - c = b - c.
According to the equality's multiplication property, an equation's two sides stay equal when multiplied by the same amount.
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Please help 31 +5/9y =
The questions are on the paper
Answer:
x-Intercepts: (-4,0)(-2,0)
y-intercept: (0,8)
Vertex: (-3,-1)
AOS: [tex]x=-3[/tex]
Step-by-step explanation:
What are the solutions to sin theta=-sqrt3/2, where 0 ≤ 0≤ 2n?
The solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.
What is an interval?
An interval in math is measured in terms of numbers. An interval includes all the numbers that come between two particular numbers. This range includes all the real numbers between those two numbers.
The equation sin(θ) = -√3/2 has two solutions in the interval 0 ≤ θ ≤ 2π.
Since the sine function has a range [-1, 1], the value of -√3/2 lies in the range of the sine function, so there are solutions in the specified interval.
Using the unit circle, we can find the values of θ that satisfy the equation. In the unit circle, the sine of an angle is equal to the y-coordinate of the point on the circle that corresponds to that angle.
The point (-√3/2, -1/2) lies on the unit circle and has an angle θ that satisfies the equation.
The other solution can be found by adding π to θ, since the sine function has a period 2π.
Hence, the solutions to sin(θ) = -√3/2 in the interval 0 ≤ θ ≤ 2π are approximately θ = 5π/3 and θ = 4π/3.
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in the diagram, ABC = FDE.
Find the value of x.
Find the value of y.
x = 27
y = 50
Step-by-step explanation:
ABC=FDE
We need x first.
AC=EF
108=2x-y
54=x -1 . . . . . divide by2
27=x
x=27
Now, we can find y.
∠B = ∠F
2X-Y=48
Y=48+2X=50
Y=50
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Supervisor: "We want to increase the number of customers who are adding service plans to their purchases to 40% of all new customers.” Representative: “So, if I sign up 60 new customers, that means I have to get __________ to add service plans.”
Answer:
Supervisor: "We want to increase the number of customers who are adding service plans to their purchases to 40% of all new customers.” Representative: “So, if I sign up 60 new customers, that means I have to get 24 to add service plans.”
24 customers would need to add service plans. 40% of 60 is 24.
Which inequality represents this sentence? Six plus two is less than nine plus three. Responses 6+2>9+3 6 addition symbol 2 inequality symbol with narrow side pointing to right and wide side opening to the left 9 addition symbol 3 6+2<9+3 6 addition symbol 2 inequality symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 6+2≤9+3 6 addition symbol 2 inequality or equal to symbol with narrow side pointing to left and wide side opening to the right 9 addition symbol 3 9+3<6+2 9 addition symbol 3 inequality symbol with narrow side pointing to left and wide side opening to the right 6 addition symbol 2
The inequality that represents this sentence is 6 + 2 < 9 + 3
How to determine the inequality?From the question, we have the following parameters that can be used in our computation:
Six plus two is less than nine plus three
Express as numbers
So, we have
6 plus 2 is less than 9 plus 3
Introduce the operators
6 + 2 < 9 + 3
Hence, the inequality is 6 + 2 < 9 + 3
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PLS HELP I WILL GIVE BRAINLIEST!!
Explain your work.
Having two sets of parallel sides, a parallelogram is a quadrilateral. Because squares must have two sets of parallel sides, they are all parallelograms.
What is Proofs for Parallelograms?An object with four sides is a quadrilateral. The quadrilateral with two pairs of parallel sides is known as a parallelogram. A parallelogram essentially appears as follows:
A parallelogram is a quadrilateral, but how can you know that? Five methods exist for determining. You must provide evidence thatBoth sides of a situation are equal (a.k.a., congruent)It is parallel on the opposing sides.Diagonals cut each other in half, and interior opposing angles are equal.The following angles are supplementary in that they sum up to 180 degrees.Contrary Sides
Starting with the opposite sides theorem, which asserts that a parallelogram's opposite sides are equal, let's go on.
Take the parallelogram ABCD as an example, where side AB is parallel to side CD and side AD is parallel to side BC.
In order to connect points A and C, let's now draw a line. The parallel lines AB and C are transposed by this line.
The triangles ABC and CDA were formed by line AC, as can be seen.
Interior angle 1 equals interior angle 2, and interior angle 3 equals angle 4 in these two triangles, proving the alternate interior angles theorem of parallel lines.
Asymmetrical Angles
In a parallelogram, the opposing angles are also equal. Let's move on to that. Take into account the parallelogram ABCD that is the same but has a transversal line. The different interior angles are equal in this instance, as can be seen.
Angle 1 equals Angle 2, and Angle 3 equals Angle 4. Angle 1 plus Angle 3 equals Angle 2 plus Angle 4, therefore the inverse is the sum of the opposite. It would also demonstrate that the other angles are equal if another transversal were drawn between points B and D. So:
The parallelogram's opposite angles are equal.
We can see that a parallelogram has equal opposite angles.
Next-to-Next Angles
The following angles are now up for discussion. The consecutive angles theorem states that a parallelogram's total consecutive angles are 180°.
A second time, think about the parallelogram ABCD, but this
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Ninety-two percent of the people who have a particular disease will have a positive result on a given
diagnostic test. Ninety-six percent of the people who do not have the disease will have a negative result on
this test. Suppose 5 percent of the population has the disease.
7. Draw a tree diagram to illustrate these probabilities.
8. What percent of the population would test positive for the disease?
9. If someone from the population tests positive, what is the probability that (s)he has the disease?
99.4% chance that you are healthy if you receive a negative test. 67.9% chance that you are sick if you receive a positive test.
How to calculate probability?14% of population would test positive for the disease
Step 1. Give algebraic names to various events described:
Let the event A represent the event that the diagnostic test gives a positive resultthe event E1 represent the event that a person has the particular disease, and, the event E2= not E1 represent the event that a person does not have the particular disease.Step-2: Model the given situation mathematically.
It is given that ninety percent of the people who have the disease will have a positive result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a positive result (A) given that the tested person has the disease (E1) is given to be 90% Thus, P(A/E1)=90%It is also given that ninety percent of the people who do not have the disease will have a negative result on a given diagnostic test.In other words, the conditional probability of the event that the diagnostic test gives a negative result (not A), given that the tested person does not have the disease (E2 = not E1) is given to be 90%
Thus P(not A/E2)=90%
Further, it is given that five percent of the population has the disease. In other words, the event that a person has the disease (E1) has the probability of 5% Thus P(E1)=5%
It is needed to find what percent of that population would test positive for the disease.
Thus, the probability that a person will have a positive result when tested, P(A) is to be determined.
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Simplify the product. 8x(x-5/4x)
The product of the expression is 8x²-10x
What are expressions?An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation. This math operation can be addition, subtraction, multiplication, or division.
Given that, an expression 8x(x-5/4x) we are asked to find its product,
8x(x-5/4x)
= 8x²-10x
Hence, the product of the expression is 8x²-10x
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Help bc it’s due in a couple hours and im nowhere near done
Answer: -9 1/4
Step-by-step explanation:
A different customer wants Ellie to spread fertiliser on a lawn.
A shop sells these bags of fertiliser.
Lawn fertiliser 750 grams £2.95
Ellie uses 40 grams of fertiliser for every square metre of lawn.
The area of the lawn is 145 square metres.
She needs to buy enough bags for the whole lawn.
Work out the total cost of the fertiliser Ellie needs.
Ellie needs 5050 grams extra fertilizer and total cost of fertilizer = 22.81-pound sterling.
what is multiplication and division?Multiplication is the product of two or more numerical terms. Division is the process of dividing any numbers into equal parts.
What is the total cost of fertilizer that Ellie needs?
Cost of 750 grams fertilizer = 2.95-pound sterling,
the area of the lawn = 145 square meters.
Ellie uses 40 grams fertilizer for every square meter of lawn.
So, fertilizer needed for the 145 square meters of land = (145 × 40)
= 5800 grams
it stated earlier that 750-gram fertilizer was bought but Ellie needs 5800 grams fertilizer.
the extra amount of fertilizer that Ellie needs = (5800 - 750) = 5050 grams.
cost of 750 gram fertilizer = 2.95-pound sterling
cost of 5050-gram fertilizer = (2.95 × 5050) / 750 = 19.86-pound sterling
cost of extra fertilizer = 19.86-pound sterling.
Total cost of fertilizer = (2.95 + 19.86) pound sterling
= 22.81-pound sterling
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B(2, 1) and C(–8, –4) are the endpoints of a line segment. What is the midpoint M of that line segment?
Write the coordinates as decimals or integers.
You don't need to give me steps if you don't want to, I'm fine with that
Point M has the coordinates (-3, -1.5) which are written as decimals.
What is the midpoint of the line segment?
The midpoint of a line segment is the point that is exactly in the middle of the line segment. It is the point that divides the line segment into two equal parts.
To find the midpoint of a line segment, you can use the formula:
Midpoint = ( (x1 + x2) / 2 , (y1 + y2) / 2 )
Where x1, y1 and x2, y2 are the coordinates of the two endpoints of the line segment.
In this case, the endpoints of the line segment are B(2, 1) and C(–8, –4).
So we can substitute the coordinates of B and C in the midpoint formula:
Midpoint = ( (2 + -8) / 2 , (1 + -4) / 2 )
Midpoint = ( -3 , -1.5)
The midpoint of the line segment is (-3, -1.5).
Hence, point M has the coordinates (-3, -1.5) which are written as decimals.
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Graph the function.
y=−2/3x+2
The graph of y = -(2/3)x + 2 is shown, having a slope of -2/3 and y intercept of 2
What is an equation?An equation shows how two or more numbers and variables are related to each other.
The standard linear equation is:
y = mx + b
Where m is the rate of change and b is the y intercept
The equation y = -(2/3)x + 2 have a negative slope of -2/3 and y intercept of 2
The graph of y = -(2/3)x + 2 is shown
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i-Ready
Divide by Two-Digit Numbers, Part 2- Quiz - Level E
→Yumi has 6,720 coins to plant apple trees in her village. It costs 21 coins to plant an
apple tree. Find how many apple trees Yumi can plant if she uses all her coins.
Which division equation represents the problem?
21 ÷ 6,720 = ?
21 ? = 6,720
6,72021?
? 216,720
The answer is 21/6720
The temperature is -7. Since midnight the temperature tripled and then rose 5 degrees. What was the temperature at midnight? I need an expression.
We can start by using algebra to represent the information given in the problem. Let T be the temperature at midnight.
What is the short definition of temperature?
Temperature is a physical property of matter that measures the degree of hotness or coldness of an object or substance. It is a measure of the average thermal energy of the particles in a substance, and it can be measured in various units such as Celsius, Fahrenheit, and Kelvin.
According to the problem, the temperature at the current time is -7 degrees. We know that the temperature tripled since midnight, so we can write an expression for the current temperature as:
T * 3 = -7
We know that the temperature also rose by 5 degrees since midnight, so we can add 5 to the above expression:
T * 3 + 5 = -7
Now to find out the temperature at midnight, we need to solve for T, which is the temperature at midnight.
We can solve for T by isolating it on one side of the equation. To do this, we can start by subtracting 5 from both sides:
T * 3 = -12
Next, we divide both sides by 3:
T = -4
So the temperature at midnight was -4 degrees. T = -4
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(4m)² - (3n-2m)
M=-2 n=5
PLEASE SHOW WORK 100 POINTS FOR WHOEVER DOES IT CORRECT
Answer:
45
Step-by-step explanation:
(4m)² - (3n-2m)
(4 * -2) = -8 * -8 = 64
(3 * 5 - 2 * -2) = 15 - -4 = 15 + 4 = 19
64 - 19 = 45
Answer:
result of the expression is 83.
Step-by-step explanation:
original expression: (4m)² - (3n-2m)
Alicia bought 4 sandwiches and 5 cups of soup, spending $38.50. Adam spent $47.25 to buy 3 sandwiches and 9 cups of soup. Write and solve a system of
equations to find out the cost of each sandwich, 8, and each cup of soup, C.
On solving the provided question, we can say that the equation that can be formed are 4x+5y=38.50 and 3x+9y=47.25
What is equation?A mathematical equation is a formula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relationship between the two sentences on either side of a letter is described by a mathematical formula. Often, there is only one variable, which also serves as the symbol. for instance, 2x – 4 = 2.
the equation that can be formed are
Sandwiches are $5.25 Bowls are $3.50
4x+5y=38.50
3x+9y=47.25
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Melanie runs 2.6 miles each weekday morning before going to work to prepare for a marathon race. If the race is approximately 26 miles, what percent of the distance does Carol run each week?
A) 10%
B) 20%
C) 40%
D) 50%
I have the right answer, show work please.
Answer:
D) 50%
Step-by-step explanation:
There are 5 weekdays, Monday through Friday.
In each of the 5 weekdays she runs 2.6 miles.
In a week, she runs 5 × 2.6 miles = 13 miles by running only on weekdays.
Now we need to find out what percent of 26 miles is 13 miles.
percent = part/whole × 100%
percent = 13/26 × 100%
percent = 0.5 × 100%
percent = 50%
Answer: D) 50%
I’ll give BRAINLIEST if correct need ASAP pls
Denise has $10 and wants to buy pens that cost
$0.80 each. How many pens can Denise buy and
have at least $6 left?
Answer:
5 pens
Step-by-step explanation:
$10 - 6$ = $4
$4/$0.80
she can afford 5 pens
8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2
The value of x = -3 in the given quadratic equation.
What is quadratic equation?In mathematics, a quadratic equation is defined as an equation of degree 2, which means that the highest exponent of this function is 2. A quadratic has the standard form y = ax2 + bx + c, where a, b, and c are numbers and a cannot be 0.
Quadratic equations are unique in that they can have up to two real solutions. Solutions are found where the quadratic equals 0. Real solutions are those that are not fictitious and have real numbers.
8 to the power of X over 2 divided by 4 to the power of X over 3 = 2 to the power of -5 over 2.
In equation it will be written as
[tex]$ 8^{x/2} \div 4^{x/3} = 2^{-5/2}[/tex]
[tex]$ (2^3)^{x/2} \div (2^2)^{x/3} = 2^{-5/2}[/tex]
[tex]$ (2)^{3x/2} \div (2)^{2x/3} = 2^{-5/2}[/tex]
[tex]$ (2)^{\frac{ 3x}{2} -\frac{ 2x}{3} } = 2^{-5/2}[/tex]
[tex]$ (2)^{\frac{ 5x}{6} } = 2^{-5/2}[/tex]
By solving this
x = -3
Thus, the value of x = -3 in the given quadratic equation.
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Which expression is equivalent to
The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³
Equivalent expressions:A mathematical expression made up of variables, coefficients, constants, and operations like addition, subtraction, multiplication, and division is called an algebraic expression.
In general, something is considered equal if two of them are the same. Similar to this, similar expressions in mathematics are those that hold true even when they appear to be different.
However, both forms provide the same outcome when the values are entered into the equation.
Here we have
4y²(6x³ + 4xy + 3y)
Simplify the given expression as follows
=> 24x³y² + 16xy³ + 12y³
Therefore,
The equivalent expression to 4y²(6x³ + 4xy + 3y) is 24x³y² + 16xy³ + 12y³
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