Answer: We can set up an equation to represent the total cost for both florists:
Cost for Flowers Florist = 2x + 10
Cost for Fub's Roses = 1x + 19
where x is the number of roses David buys.
To find out the number of roses David would have to buy for both florists to charge him the same amount, we set the two equations equal to each other and solve for x:
2x + 10 = 1x + 19
x = 9
So David would have to buy 9 roses for both florists to charge him the same amount.
Step-by-step explanation:
find the least common multiple of (x-3)^2, x^2-9, and (x+3)^3
PLEASEEEE HELP!
Answer:
Step-by-step explanation:
Graph this line using the slope and y-intercept: =-²/x-7 y = Click to select points on the graph. -10 -8 -6 -4 -2 104 8 CO 6 4 2 0 -2 -4 2 4 6 8 10
A line with a slope of 2 and a Y-intercept of -3 is described by the equation y is 2x - 3.
Linear equation?The slope of a line is represented by the value of m.
The y-intercept of this line is denoted by m = 2 c. c = -3
The slope-intercept is y = mx + c for the equation of the line.
Replace c = -3 with m = 2 and y = 2x - 3 in the previous equation.
As a result, the line's equation has the following values for the slope and Y-intercept: y = 2x - 3.
The slope-intercept is y = mx + c for the equation of the line.
Replace c = -3 with m = 2 and y = 2x - 3 in the previous equation.
So the equation of the line with a Y-intercept of -3 and a slope of 2 is y = 2x - 3.
So the equation of the line with a Y-intercept of -3 and a slope of 2 is y = 2x - 3.
The complete question is,
What equation describes the line with a Y-intercept of -3 and a slope of 2?
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Luke started a weight loss program. The first week, he lost X pounds. The second week, he lost 3/2 pounds less than 3/2 Times do the pounds he lost the first week. The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week. Liam started a weight loss program when Luke did. The first week, he lost 1 pound less than 3/2 times The pounds Luke lost the first week. The Second week, he lost 4 pounds less than 5/2 times The pounds Luke lost the first week. The third week, he lost 1/2 pounds more than 5/4 times the Pounds Luke lost the first week.  Assuming they both lost the same number of pounds over the three weeks, complete the following sentences
1. The expression of Luke's weight loss over the three weeks is 13/4 x-1/2
2. The expression of Liam's weight loss over the three weeks = 21/4 x-9/2
3. Luke lost 2 pounds in the first week.
4. The number of pounds Luke and Liam each lost over the three weeks is 6 pounds.
In the given question, Luke started a weight loss program.
The first week, he lost X pounds.
The second week, he lost 3/2 pounds less than 3/2 Times do the pounds he lost the first week.
So the expression is:
3/2 x - 3/2
The third week, he lost 1 pound more than 3/4 of the pounds he lost the first week.
Now the expression is:
3/4x + 1
Liam started a weight loss program when Luke did.
The first week, he lost 1 pound less than 3/2 times The pounds Luke lost the first week.
3/2 x - 1
The Second week, he lost 4 pounds less than 5/2 times the pounds Luke lost the first week.
5/2 x - 4
The third week, he lost 1/2 pounds more than 5/4 times the Pounds Luke lost the first week.
5/4 x + 1/2
Assuming they both lost the same number of pounds over the three weeks, then we have complete the following sentences.
1. We have to write the expression for Luke's weight loss over the three weeks.
The expression of Luke's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week
The expression of Luke's weight loss over the three weeks = x + 3/2 x - 3/2 + 3/4x + 1
Now we simplify the expression.
The expression of Luke's weight loss over the three weeks = 13/4 x - 1/2
2. We have to write the expression for Liam's weight loss over the three weeks.
The expression of Liam's weight loss over the three weeks = The weight lost in first week + The weight lost in second week + The weight lost in third week
The expression of Liam's weight loss over the three weeks = 3/2 x - 1 + 5/2 x - 4 + 5/4 x + 1/2
Now we simplify the expression.
The expression of Liam's weight loss over the three weeks = 21/4 x - 9/2
3. Now we have to find the number of pounds Luke lost in the first week.
As given that they lost the same weight. So,
The expression of Luke's weight loss over the three weeks = The expression of Liam's weight loss over the three weeks
13/4 x - 1/2 = 21/4 x - 9/2
Add 9/2 on both side, we get
13/4 x + 4 = 21/4 x
Subtract 13/4 x on both side, we get
2x = 4
Divide by 2 on both side, we get
x = 2
Hence, Luke lost 2 pounds in the first week.
4. We have to find the number of pounds Luke and Liam each lost over the three weeks.
The expression = 21/4 x - 9/2
Now putting the value of x.
The expression = 21/4 × 2 - 9/2
The expression = 21/2 - 9/2
The expression = 12/2
The expression = 6 pounds
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Mackenzie borrowed some money from her
friend in order to help buy a new video game
system. Mackenzie agreed to pay the friend back
some amount every week until her loan was paid
off. Let L represent the amount Mackenzie owes
her friend after t weeks. The table below has
select values showing the linear relationship
between t and L. Determine how many weeks
when the amount of money Mackenzie owed her
friend was $100.
T L
2 140
5 80
7 40
Mackenzie owed $100 after -4 weeks. This means that after 4 weeks, the amount she owed was $100 less than it was at the start.
How many weeks when the amount of money Mackenzie owed her friend was $100?We can use the information given in the table to write a linear equation in the form L = m * t + b, where m is the slope and b is the y-intercept.To find the slope (m), we can use the rise-over-run formula by choosing two points from the table: (t1, L1) and (t2, L2). Let's choose (2, 140) and (5, 80):$m = \frac{L2 - L1}{t2 - t1} = \frac{80 - 140}{5 - 2} = -20$Now that we know the slope, we can use one of the points to find the y-intercept (b). Let's use (2, 140):$L = m * t + b$$140 = -20 * 2 + b$$b = 140 + 40 = 180$So the linear equation that models the relationship between t and L is:$L = -20 * t + 180$To find the number of weeks when the amount of money Mackenzie owed was $100, we can set L equal to 100 and solve for t:$L = -20 * t + 180$$100 = -20 * t + 180$$80 = -20 * t$$t = \frac{80}{-20} = -4$So Mackenzie owed $100 after -4 weeks. This means that after 4 weeks, the amount she owed was $100 less than it was at the start.To learn more about linear relation refer:
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Paul, Colin and Brian are waiters.
One night the restaurant earns tips
totalling £78.40.
They share the tips in the ratio 2:1:5.
How much more does Brian
get over
Colin?
need help with this problem for math
Answer:
Step-by-step explanation:
n2-5n+7=
Evaluate the expression when n=3
Answer: 1
Step-by-step explanation:
Substitute 3 into N: 3^2 - 5*3 + 7
= 9 - 15 + 7
= -6 + 7
= 1
Use the graph to complete the table.
X Y
6 1
8 3
10 ??
?? 7
14 ??
Answer:
X Y 6 1 8 3 10 5 7 2 14 9
Step-by-step explanation: X-5=Y
Landscaping : You are planting a tree at the incenter of your triangular front yard. Use the diagram to determine how far the tree is from the house.
The hypotenuse of the triangle is equal to 14.14 feet, and thus the distance of the tree from the house is 14.14 feet.
What is triangle?Triangle is a three-sided, two-dimensional shape with three angles. It is one of the basic shapes in geometry and is formed by connecting three straight lines. Triangles can be classified based on their angles and sides. An equilateral triangle has all three sides equal in length and all three angles are equal. An isosceles triangle has two sides equal in length and two angles equal. An scalene triangle has all three sides and angles different in length and measure.
In order to determine the distance of the tree from the house, the Pythagorean theorem can be used. The Pythagorean theorem states that in a right triangle, the sum of the squares of the two shorter sides is equal to the square of the longest side (hypotenuse).
Looking at the diagram, the sides of the triangle are 10 feet, 10 feet, and 12 feet. If we label the sides as a, b, and c, then we can use the Pythagorean theorem to solve for c:
a2 + b2 = c2
102 + 102 = c2
100 + 100 = c2
200 = c2
√200 = c
Therefore, the hypotenuse of the triangle is equal to 14.14 feet, and thus the distance of the tree from the house is 14.14 feet.
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The linear function y = -0.5z +26 models the percentage of men in a certain city, y. smoking cigarettes a years after 1990. Find the slope
for the model. Then describe what this means in terms of the rate of change of male smokers in this city over time.
a) m =
b) The percentage of men in this city who smoke has (Enter: increased or decreased or not changed) at a rate of
after 1990.
% per year
Answer: hope this helps
a) m = -0.5
b) The percentage of men in this city who smoke has decreased at a rate of 0.5% per year after 1990.
The slope of the model, m, represents the rate of change of the dependent variable (y) with respect to the independent variable (z). In this case, the slope is -0.5 which means that for every one year increase in time (z) after 1990, the percentage of men smoking cigarettes (y) decreases by 0.5%. This means that the rate of change of male smokers in this city over time is decreasing.
Step-by-step explanation:
Carla is saving for a new bicycle. Each
week, w Carla puts $15 aside for the
new bicycle. Her grandmother also gives
her $20 towards the bike. Which
expression represents the total amount
of money Carla has after w, weeks?
state the converse, contrapositive, and inverse of each of these conditional statements. a) if it snows tonight, then i will stay at home. b) i go to the beach whenever it is a sunny summer day. c) when i s
1. Converse: If I stay at home, then it snows tonight.
Contrapositive: If I do not stay at home, then it does not snow tonight.
Inverse: If it does not snow tonight, then I will not stay at home.
2. Converse: If it is a sunny summer day, then I go to the beach.
Contrapositive: If I do not go to the beach, then it is not a sunny summer day.
Inverse: If it is not a sunny summer day, then I will not go to the beach.
3. Converse: If I sleep until noon, then I stayed up late.
Contrapositive: If I don't sleep until noon then I didn't stay up late.
Inverse: If I didn't stay up late, then I won't sleep until noon.
Converse: The converse of a conditional statement is formed by reversing the order of the original statement, so the antecedent becomes the consequent and the consequent becomes the antecedent.Contrapositive: The contrapositive of a conditional statement is formed by negating both the antecedent and the consequent of the original statement, and then reversing the order of the statement.Inverse: The inverse of a conditional statement is formed by negating the antecedent of the original statement.Read more about conditional statements:
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The complete question is -
State the converse, contrapositive, and inverse of each of these conditional statements.
1. If it snows tonight, then I will stay at home.
2. I go to the beach whenever it is a sunny summer day.
3. When I stay up late, it is necessary that I sleep until noon.
the costs of six toys in a certain store are: $15, $20, $32, $1,250, $27, $50 which measure of central tendency should be used? a. mode b. mean c. midrange d. median
Mean
Step-by-step explanation:
Use the mean to find the average price since the numbers are far apart.
How long will it take a car to travel 200km if it has an average speed of 55km hr?
It will take 3 hours and 40 minutes for a car to travel 200km at an average speed of 55km/hr.
200km / 55km/hr = 3.63 hrs
3.63 hrs x 60 minutes/hr = 218 minutes
218 minutes - 60 minutes = 158 minutes
158 minutes / 60 minutes = 2.63 hrs
2.63 hrs + 1.37 hrs (3.63 hrs - 2.26 hrs) = 3.40 hrs
To calculate how long it will take a car to travel 200km at an average speed of 55km/hr, you first need to divide the distance (200km) by the speed (55km/hr). This gives you 3.63 hours. To convert this to minutes, you need to multiply this by 60 minutes/hour, which gives you 218 minutes. Subtracting 60 minutes from this gives you 158 minutes. To convert this to hours, you need to divide by 60 minutes/hour which gives you 2.63 hours. Then, you need to add 1.37 hours (3.63 hours - 2.26 hours) to get a total of 3.40 hours. Therefore, it will take 3 hours and 40 minutes for a car to travel 200km at an average speed of 55km/hr.
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The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle. Plot the points then
click the "Graph Triangle" button. Then find the perimeter of the triangle. Round
your answer to the nearest tenth if necessary.
The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle. Then 26.701 unit is the perimeter of the triangle.
What is perimeter?The length of a two-dimensional shape's perimeter is referred to as its perimeter. The total length of all the sides of the thing is also a definition for it. The perimeter of the form is equal to the algebraic sum of each side's length. For the various geometric forms, there are formulae accessible. The radius of a shape's edge is known as the perimeter. The length of the shape's edge is measured by its perimeter. All of the shape's sides added together provide it. It just has one dimension and uses linear units to represent itself. In contrast, area quantifies how much space a form takes up.
The points D(3,-5), E(3, 4), and F(-4, 3) form a triangle.
DE = [tex]\sqrt{(3-3)^2+ (4 +5)^2}[/tex]
DE = 9 units
EF = [tex]\sqrt{(-4-3)^2+ (3-4)^2}[/tex]
EF = √50 units
DF = [tex]\sqrt{(-4-3)^2 + (3+5)^2}[/tex]
DF = √113 units
So, the perimeter of the triangle DEF = sum of all three sides
= 9 units + √50 units + √113 units
= 26.701 unit
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Please help its finals
From the proportional method, we obtain that a group of 120 students will spend 9756 minutes.
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, A group of 10 students spent 813 minutes of studying.
Let, 'x' be the number of minutes 120 students will spend their time in study.
This can be written in the proportional method as,
10 : 813 : : 120 : x.
10/813 = 120/x.
10x = 97560.
x = 9756 minutes.
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The graph of F(x), shown below, resembles the graph of G(x) = x², but it has been changed somewhat. Which of the following could be the equation of F(x)?
According to the transformation as shown in the graph the equation of f(x) is
D. 2(x - 2)² + 2What is transformation in math?Four distinct approaches to modify the position and/or shape of a point, line, or geometric figure are collectively referred to as transformations.
The approach include: reflection, rotation, translation and dilation
The Pre-Image is the object's original shape, while the transformed object's ultimate shape and location is termed the Image.
In the transformation, the movement is as follows
(x - 2)²: translation to the right by 2 units
(x - 2)² + 2: translation 2 units up
2(x - 2)² + 2: vertical stretch 2 units
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Quadrilateral BCDE is an isosceles trapezoid, BD=t+90, and CE=10t–54. What is the value of t?
Answer:
t = 16
Step-by-step explanation:
B and C are corresponding points.
D and E are also corresponding points.
Hence, BD = CE.
t + 90 = 10t - 54 ==> substitute t + 90 for BD and 10t - 54 for CE
t + 144 = 10t ==> add 54 on both sides
144 = 9t ==> subtract 9t on both sides
t = 16 ==> divide both sides by 9
The contractor for a new school put a rectangular garden in the courtyard. The length of this garden is 5 feet longer than its width. If the area is 414 square feet, what is the length of the rectangle?
The length of the rectangular garden is 23 feet.
What is Area?Area of a two dimensional shape is the total region which is bounded by the object's shape.
Given that,
Length of the rectangular garden is 5 feet longer than its width.
Let w be the width of the rectangle.
Then w + 5 is the length of the rectangle.
Area of a rectangle = Length × Width
Area is given as 414 square feet.
(w + 5) w = 414
w² + 5w - 414 = 0
Factorizing,
(w - 18) (w + 23) = 0
w - 18 = 0, then w = 18
w + 23 = 0, then w = -23
w = -23 is not possible for the width.
So w = 18 feet
Length of the rectangle = w + 5 = 18 + 5 = 23 feet
Hence 23 feet is the length of the rectangle.
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Why is log always base 10?
The required explanation for log of base 10 is described.
What is logarithmic function?The ability of logarithms to solve exponential problems is a large part of their strength. Examples of this include sound (measured in decibels), earthquakes (measured on the Richter scale), starlight brightness, and chemistry (pH balance, a measure of acidity and alkalinity).
According to question:The distinction between log and ln is that log is expressed in terms of base 10, while ln is expressed in terms of base e. As an illustration, log of base 2 is denoted by log2 and log of base e by loge = ln (natural log).
The logarithm can be rewritten using the general rule. The common logarithm, which has a base of 10 always, is what you're dealing with when the log has no base.
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can someone help me 50 pts
Answer:
No
Step-by-step explanation:
[tex]s = 2(5)(3) + 2(3)(4) + 2(5)(4) \\ = 30 + 24 + 40 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \: \: \: \: \: = 94 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: [/tex]
Juan took a survey of the 30 students in his class.
Half of the students own a dog.
Two-thirds of those dog owners also own a cat.
Eight students have neither cats nor dogs.
The remaining students own a cat.
How many students own a cat?
The number of students who own a cat are 17.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a survey of the 30 students in Juan's class.
We can write -
Number of students who own dog = (1/2) x 30 = 15
Number of students who own dog and cat both = (2/3) x 15 = 10
Number of students who have no pets = 8
Number of students owning a cat alone = 30 - (15 + 8) = 7
Students who own a cat = 10 + 7 = 17
Therefore, the number of students who own a cat are 17.
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A flag of Liberia has a width to length ratio of 10:19 what is the length of the flag if it is 18 inches wide
the length of the flag is 28.8.
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
here, we have,
given that,
width to length ratio of 10:19
it is 18 inches wide
then, length = 18*19/10
=28.8
hence, the length of the flag is 28.8.
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can someone help? i’m not sure about this
Step-by-step explanation:
The length of mid segment of trapezoid is given by the equation (1)
[tex]length of mid segment = \frac{b1 + b2}{2} [/tex]
The given trapezoid ABCD has following properties
AD and BC are the bases of the trapezoid.
Mid segment of trapezoid = EF
AD = 4
EF = 2x + 8
BC = 5x + 5
b1 = AD
b2 = BC
[tex]EF = \frac{AD + BC}{2} [/tex]
[tex]2x \: + 8 = \frac{4 + 5x + 5}{2} [/tex]
[tex]4x + 16 = 5x + 9[/tex]
[tex]5x - 4x = 16 - 9[/tex]
[tex]x = 5[/tex]
so if we put in value of x in EF
we get,
EF = 2x + 8 = 2(2) + 8 = 4 + 8 = 12
Write the expanded form of the expression. 4(6x-3) PLEASE I REALLY NEED HELP OR IM NOT ALOUND TO SLEEP
Answer:
24x-12
Step-by-step explanation:
Distribute
4 x 6 = 24
4 x -3 = 12
what is the answer reported to the correct number of significant figures for the following addition and subtraction? 5.63 2.302 3.1
The answer reported to the correct number of significant figures for the given addition is 11.
Significant figures refer to the digits of a number that are meaningful in terms of accuracy or precision. It offers information about how precise a calculation or measurement might be. Non-zero digits are always significant and zeros in between non-zero digits are always significant. The leading zeros are never significant. The trailing zeros are only significant if the number contains a decimal point. When adding or subtracting significant numbers,
1. The place position of the last significant digit in the least certain number is determined. In the given case it is 3.1 as it is the least certain number. Hence, it is the 2nd significant figure.
2. The numbers in the calculation are added or subtracted normally. Hence, 5.63 + 2.302 + 3.1 = 11.032.
3. Round the answer to the place position of least significance that found in step 1 i.e. 2nd significant figure, hence it is 11.032 ≈ 11.
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hello can someone help
====================================================
Explanation:
Let's find the slope.
[tex]A = (x_1,y_1) = (4,7) \text{ and } B = (x_2,y_2) = (2,3)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_{2} - \text{y}_{1}}{\text{x}_{2} - \text{x}_{1}}\\\\m = \frac{3 - 7}{2 - 4}\\\\m = \frac{-4}{-2}\\\\m = 2\\\\[/tex]
The slope is 2.
Then apply point-slope form
[tex]\text{y} - \text{y}_1 = \text{m}(\text{x} - \text{x}_1)\\\\\text{y} - 7 = 2(\text{x} - 4)\\\\\text{y} - 7 = 2\text{x} + 2(-4)\\\\\text{y} - 7 = 2\text{x} -8\\\\\text{y} = 2\text{x} -8+7\\\\\text{y} = 2\text{x} -1\\\\[/tex]
The final answer is y = 2x-1----------------------
Check:
Plug in x = 4. We should get y = 7 as the output.
y = 2x-1
y = 2*4-1
y = 8-1
y = 7
This verifies point A(4,7) is on the line.
Plug in x = 2. We should get y = 3 as the output.
y = 2x-1
y = 2*2-1
y = 4-1
y = 3
This verifies point B(2,3) is also on the line.
The answer is fully confirmed. You can use graphing software like Desmos or GeoGebra as a quick way to confirm.
how many cubic meters are there in a cubic centimeter?
There are 1e-6 cubic meters in a cubic centimeter.
A centimeter is a metric unit of measurement used for measuring the length of an object. It is written as cm. It can also be defined as the unit of length in the International System of Units (SI), the current form of the metric system. It is equivalent to 1/100 meters.
A meter has 100 centimeters.
10 millimeters make one centimeter.
The centimeter can be written as cm.
While calculating the surface area of an object, the unit of measurement becomes cm².
While measuring the volume of an object, the unit of measurement becomes cm³.
Thus, There are 1e-6 cubic meters in a cubic centimeter.
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0.5+7.3=s what is the answer
Answer:
7.8
Step-by-step explanation:
7 plus 0 is 7 and .5 plus .3 is .8.
Answer: The answer (when finding s) is 7.8
Step-by-step explanation: The equation is fairly straight-forward. The equation is asking you what the variable s is equal to. You simply add 7.3 and 0.5. Since 5 and 3 is 8 that gives you the decimal 0.8, and there is nothing being done to the 7 making the answer 7.8
What type of language is used in the passage below?
Everyone is going crazy over "Weav-eo Bracelets," the new rubber band bracelet craft. Kids all over the country are
weaving and trading bracelets made of vibrant colors. Don't be left out! Get your Weav-eo Bracelet kit today.
O fictional
Ologic
3explanatory
O persuasive
The passage is using persuasive language to encourage readers to purchase the Weav-eo Bracelet kit. It is emphasizing the popularity of the craft and the vibrant colors of the bracelets in order to entice readers to buy the kit.
What is persuasive?Persuasive writing is a form of writing in which the author uses words and phrases to convince the reader to believe in a particular point of view. It is often used in advertising, speeches, and political campaigns. It is used to convince the reader to take a certain action, or to agree with a particular idea or opinion. The main goal of persuasive writing is to influence the reader’s opinion in some way. To achieve this, writers must use strong arguments, clear language, and emotional appeals. The writer must also make sure that the argument is logical and supported by evidence.
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