Fatima paid for 5 pallets of grass to be delivered.
Each pallet of grass cost $129.95.
Fatima paid $76.20 for delivery.
What is the total amount Fatima paid?
Answer:
729.5
Step-by-step explanation:
The area of a rectangle is 105 sq in and the length of one side is 7 in. What is the length of the perimeter?
Perimeter of Rectangle is 44m
What is Perimeter ?A perimeter is a closed path that encompasses, encircles, or delineates a one-dimensional length or a two-dimensional shape.
According to the given information
Area of Rectangle = l × b
Area of Rectangle = 105 \(m^{2}\)
Length of one side = 7 m
Let the length of the adjacent side = b
Area of Rectangle given = 7 × b
105 = 7 × b
b = \(\frac{105}{7}\)
b = 15 m
Perimeter of Rectangle given = 2( l + b )
= 2 ( 7 + 15 )
= 2 × 22
= 44m
Perimeter of Rectangle is 44m
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Fill in the missing value to form a ratio equivalent to 3:8 12:
Answer: 12:32
Step-by-step explanation: 3:8 x 4:4 = 12:32
3:8 6:12 9:24 12:32
Lines a and b are parallel. Line c is perpendicular to both line a and line b. Which statement about lines a, b, and c is NOT true? On a coordinate plane, lines a and b are parallel. Line c is perpendicular to lines a and b. CLEAR CHECK Line a and line b have the same slope. The sum of the slopes of line b and line c is 0. The product of the slopes of line c and line b is −1. The product of the slopes of line a and line c is −1.
The statement that is NOT true is "Line a and line b have the same slope."
What is slope?In mathematics, slope refers to the measure of steepness of a line or a curve. It is defined as the ratio of the vertical change (rise) to the horizontal change (run) between any two points on the line or curve. In other words, slope is the amount by which the dependent variable (y) changes for a unit increase in the independent variable (x)
Given by the question.
Since lines a and b are parallel, they have the same slope. However, the statement that they have the same slope is true, so it cannot be the statement that is not true.
On the other hand, line c is perpendicular to both lines a and b, which means that its slope is the negative reciprocal of the slopes of lines a and b. Therefore, the product of the slopes of line c and line b is -1, and the product of the slopes of line a and line c is -1. Additionally, the sum of the slopes of line b and line c is 0, since the slopes are opposite reciprocals of each other.
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Consider seven points in 1-D, the one-dimensional space. Suppose a partitioning into two clusters C1 and C2 has been obtained by a k-medoids method (i.e., k=2). Let my and m2 be the representative objects of C1 and C2, respectively, m1 = 30 and m2 = 32. Cluster C1 has been assigned the (non-representative) points P1 = 3 P2 = 30 and cluster C2 the points P3 = 18 P4 = 23 p5 = 34 Using the Manhattan distance (i.e., the absolute value of the difference between two points) as the dissimilarity measure, calculate the absolute error E of the given partitioning.
By using Manhattan as the dissimilarity measure, the absolute error of the given partitioning is 52.
How to calculate absolute errorUsing the Manhattan distance, the distance between a point x and its representative object y is given by:
d(x, y) = |x - y|
The absolute error E is given by:
E = ∑d(x, y), for all x in the dataset
where y is the representative object of the cluster to which x belongs.
Using the given information, the dataset consists of the following seven points:
{3, 18, 23, 30, 30, 32, 34}
The representative objects of clusters C1 and C2 are m1 = 30 and m2 = 32, respectively.
Points P1 = 3 and P2 = 30 belong to cluster C1,
Points P3 = 18, P4 = 23, and P5 = 34 belong to cluster C2.
Therefore, we have:
d(P1, my) = |3 - 30| = 27
d(P2, my) = |30 - 30| = 0
d(P3, m2) = |18 - 32| = 14
d(P4, m2) = |23 - 32| = 9
d(P5, m2) = |34 - 32| = 2
Hence, the absolute error E is the sum of these distances:
E = d(P1, my) + d(P2, my) + d(P3, m2) + d(P4, m2) + d(P5, m2)
= 27 + 0 + 14 + 9 + 2 = 52
Thus, the absolute error of the given partitioning is 52.
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The cost of tea varies directly with the mass. Liz bought 4.5kg of tea for $10.35. What is the cost of 12kg of tea?
Answer:
$ 27.6.
Step-by-step explanation:
Let the cost of tea be C.
Let the mass of tea be M
From the question given, we were told that the cost of tea varies directly with the mass. This can be expressed as:
C & M
C = KM
K is called constant of proportionality.
C is the cost of the tea.
M is the mass of tea.
Next, we shall determine the constant of proportionality, K.
Cost (C) = $ 10.35
Mass (M) = 4.5 kg
Constant (K) =..?
C = KM
10.35 = K × 4.5
Divide both side by 4.5
K = 10.35/4.5
K = 2.3
Finally, we shall determine the cost of 12kg of tea as follow:
Mass (M) = 12 kg
Constant (K) = 2.3
Cost (C) =..?
C = KM
C = 2.3 × 12
C = $ 27.6
Therefore, the cost of 12 Kg of tea is $ 27.6
Answer:
$27.6
Step-by-step explanation:
10.35 divided by 4.5 = 2.3
$2.3 for 1 kg
2.3 times 12= 27.6
A slug travels 3 centimeters in 3 seconds. A snail travels 6 centimeters in 6 seconds. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai? Explain or show your reasoning.
knowing that in 2014 there were 375,160 births in poland where the population counted 38,346,279 people, calculate the crude birth rate for this country. give your answer to the second decimal place.
Using the formula for the crude birth rate we find out that the crude birth rate for the country Poland is 9.78.
It is given to us that -
There were 375,160 births in Poland
The population counted 38,346,279 people
We have to find out the crude birth rate for this country.
The crude birth rate of a country can be defined as the ratio between the number of live births that happened in a population for a given year and the total population of the country for that particular year and then multiplying the ratio by 1000.
So, the crude birth rate for the country, Poland with 375,160 births and population of 38,346,279 people can be given as -
\((\frac{375160}{38346279}) * 1000\\= 9.78\)
Therefore, the crude birth rate for the country Poland is 9.78.
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An item sells for $75 and is on sale for 35% off. The sales tax is 9.8%. What is the final cost of the item?
The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.
The given problem is related to percentage discounts and sales tax and can be solved using the following steps:
Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25
Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75
Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79
Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.
Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54
Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!
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you recently joined a computer club that now has 14 members. the club has four different leadership positions (president, vice president, treasurer and secretary). if any club member can serve in any of the leadership positions but no one can serve in two positions simultaneously, how many different ways can the club leadership be organized?
There are 14 members in the club, and there are 4 leadership positions. Each position can be filled by any of the 14 members, so there are 14 ways to fill the first position, 14 ways to fill the second position, and so on. However, we have overcounted because we have not taken into account that a member cannot serve in two positions simultaneously. To correct for this overcounting, we divide by the number of ways that a member can serve in two positions simultaneously, which is 1. Therefore, the total number of ways that the club leadership can be organized is:
14 * 14 * 14 * 14 / 1 = 14^4 = 20736 ways.
Additive inverse of 0.25
Step-by-step explanation:
it's it's a photo hope this will help you
When I factor 12x+27, what do i get?
Answer:
I guess it's
3(4x+9)
Step-by-step explanation:
for more information watch a video about how to factor binomial
Find the missing character/number in the following figure?
Answer:
The correct answer is 5.
Step-by-step explanation:
For the first circle,
When we add 6,18,12,
we get 6+18+12 = 36
Now
when we divide 36 with 6 we get 6.
again,
for second circle,
When we add 10,53,18
we get 10 + 53 + 18 = 81
when we divide 81 with 9 we get 9.
Now
let the unknown number be x.
so,
Pattern : When we add all of the number in the circle excluding the smallest number and dividing it by the smallest number we get the same number.
following the pattern,
Here in the options x>=5 (smallest number in the circle 3)
so, we can take smallest number as 5.
As the pattern,
(x+10+10)/5 = x
or, (x+20)/5 = x
or, x+20 = 5x
or, 5x-x = 20
or, 4x = 20
so, x = 5
Find the side of a square whose diagonal measures 15v2 cm
15 is area of Side of Square .
What is a square, exactly?
All four of the sides and all four of the angles make up the regular quadrilateral known as the square. The square's angles are 90 degrees away from each other or at right angles. In addition, the square's diagonals are equally spaced and split at a 90-degree angle.
Length of diagonal of Square =15√2 cm-------------(1)
Let side of Square = a cm
So, Length of Diagonal
By Using Pythagorean Theorem
= √a² + a²
= a√2 ........................(2)
Equating (1) and (2)
a√2 = 15√2
a = 15
cancelling root 2 from both sides.
a = 15
Side of Square= 15 cm
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The complete question is -
Find the side of a square whose diagonal is of the given measure. Given = 15√2 cm.
in an oral exam, a student is supposed to draw a card randomly from a set of 20 cards and answer all three questions on the selected card. mike is taking the exam. there are 8 favorable cards (mike knows answers for all 3 questions). mike will get a grade a if he answers all 3 questions. what is the probability for mike to get an a if he draws the card:
if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
The probability of an event is a numerical measure of the likelihood that the event will occur. It is expressed as a fraction or decimal between 0 and 1, where 0 indicates that the event is impossible and 1 indicates that the event is certain to occur. In this case, the event is Mike getting a grade of "A" on the oral exam, and the probability of this event is calculated as the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
So, if Mike draws a card randomly from the set of 20 cards, he has a chance of 8/20 = 2/5 = 0.4 or 40% of answering all 3 questions correctly and getting a grade of "A". This means that if the experiment of drawing a card and answering the questions is repeated many times, Mike is expected to get a grade of "A" in 40% of those instances. The probability of Mike getting a grade of "A" is equal to the number of favorable outcomes (cards with answers known by Mike) divided by the total number of possible outcomes (all 20 cards).
Since Mike knows the answers to all 3 questions on 8 cards, the probability of him getting a grade of "A" is:
P(A) = 8/20 = 2/5 = 0.4 or 40%
So, if Mike draws a card randomly, he has a 40% chance of getting a grade of "A".
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Jamie ran the first 2000 meters in 6 minutes. At that rate, how long would it take Jaime to run 5000 meters?
Answer:
15 minutes
Step-by-step explanation:
To figure this out, you can create a ratio. If we say the first 2000 miles is the 1 in the ratio, the ratio would be 1 : 2.5. Since it took 6 minutes for the first 2000, you have to multiply 6 by 2.5 to get your answer of 15 minutes.
Michael has a bag of marbles. The frequency of selecting each color is recorded in the table below.
Outcome Frequency
Green 4
Black 6
Orange 5
Based on the given frequency, determine the experimental probability of selecting an orange marble.
0.27
0.33
0.40
0.67
The probability of selecting an orange marble is 0.33.
Option B is the correct answer.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
We have,
The number of times each marble is selected.
Green = 4
Black = 6
Orange = 5
Total number of times all marbles are selected.
= 4 + 6 + 5
= 15
Now,
The probability of selecting an orange marble.
= 5/15
= 1/3
= 0.33
Thus,
The probability of selecting an orange marble is 0.33.
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Find the distance between the two points in simplest radical form.
n.
(6, -9) and (1,3)
Help?
\(\large\underline{\underline{\red{\sf \blue{\longmapsto} Step-by-step\: Explanation:-}}}\)
Given to points to us are :-
( 6 , -9)( 1 , 3 )Now , we can use Distance Formula , which is :-
\(\boxed{\purple{\tt Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}}}\)
Here ,
x1 = 6 .x2 = 1.y1 = (-9)y2 = 3.→ Substituting the respective values ,
⇒ Distance = √ [ ( 6 - 1)² + ( 3 +9)² ] .
⇒ Distance = √ 5² + 12²
⇒ Distance = √ 25 + 144
⇒ Distance = √ 169 .
⇒ Distance = 13 units .
Hence the distance between two points is 13u.
sorry for the color yellow
Answer:
I believe it's the first option.
Someone help pls, its urgent! ASAP!! (Geometry)
“Complete the proofs”
Question 8
1) \(\triangle ACE\) with \(\overline{AC} \cong \overline{EC}\), \(\overline{BC} \cong \overline{DC}\) (given)
2) \(\angle C \cong \angle C\) (reflexive property)
3) \(\triangle ACD \cong \triangle ECB\) (SAS)
Question 9
1) \(\overline{PQ}\) and \(\overline{PR}\) are the legs of isosceles \(\triangle PQR\), \(\overline{PS} \cong \overline{QR}\) (given)
2) \(\angle PSQ\) and \(\angle PSR\) are right angles (definition of perpendicular lines)
3) \(\angle Q \cong \angle R\) (angles opposite the legs of an isosceles triangle are congruent)
4) \(\overline{PS} \cong \overline{PS}\) (reflexive property)
5) \(\angle PSQ \cong \angle PSR\) (all right angles are congruent)
6) \(\triangle PSQ \cong \triangle PSR\) (AAS)
Question 10
1) \(\overline{AB} \cong \overline{CD}\), \(\overline{AB} \perp \overline{BC}\), \(\overline{CD} \perp \overline{AD}\) (given)
2) \(\overline{AC} \cong \overline{AC}\) (reflexive property)
3) \(\angle ABC\) and \(\angle ADC\) are right angles (perpendicular lines form right angles)
4) \(\triangle ABC\) and \(\triangle ADC\) are right triangles (a triangle with a right angle is a right triangle)
5) \(\triangle ABC \cong \triangle CDA\) (HL)
6) \(\overline{AD} \cong \overline{CB}\) (CPCTC)
A circle of center (-3 , -2) passes through the points (0 , -6) and (a , 0). Find a.
Using the fact that all points on a circle are equidistant to its center, we will see that:
a = -3 ±√21
How to find the value of a?All the points on a circle are equidistant to its center. Here the center is at (-3, -2), and we know that (0, -6) is on the circle.
The distance between these two is:
d = √( (-3 - 0)^2 + (-2 + 6)^2) = 5
Then the distance between (a, 0) also should be 5 units, so:
5 = √( (-3 - a)^2 + (-2 - 0)^2)
5 = √( (-3 - a)^2 + 4)
5^2 = (-3 - a)^2 + 4
25 - 4 = (-3 - a)^2
21 = (-3 - a)^2
±√21 = -3 - a
a = -3 ±√21
these are the two possible values of a.
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Amy has scored 77, 87, and 74 on her previous three tests. What score does she need on her next test so that her average (mean) is 76?
After scoring 77, 87, and 74 on her previous three tests, Amy needs to score 66 on her next test in order to have an average of 76.
To find the score that Amy needs on her next test to have an average of 76, we need to use the formula for the mean of a set of numbers:
Mean = (Sum of all numbers) / (Total number of numbers)
We know that Amy's current scores are 77, 87, and 74, and we want her average to be 76. Let's call the score she needs on her next test "x".
So, we can plug these values into the formula:
76 = (77 + 87 + 74 + x) / 4
Now, we just need to solve for x:
76 * 4 = 77 + 87 + 74 + x
304 = 238 + x
x = 304 - 238
x = 66
So, Amy needs to score a 66 on her next test in order to have an average of 76.
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Write 6.453 × 10–^3 without exponents?
Answer:
6.453 × 10 × -10 × -10 × -10
Step-by-step explanation:
6.453 × 10–^3
6.453 × 10 × -10 × -10 × -10
Is that a negative? The one after the 10? If not then just take away the negatives from the 10's.
Hope this helped!
Have a supercalifragilisticexpialidocious day!
The given number can be written without exponents as 0.006453.
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The given expression can be written without exponents as,
6.453 × 10⁻³
= 6.453 × (1/1000)
= 6.453 × 0.001
= 0.006453
Hence, the given expression can be written without exponents as 0.006453.
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help please just answer this question
Answer:
b
Step-by-step explanation:
Jackie has a choice of 3 pairs of shoes, 3 pants, and 4 shirts that can make an outfit for today. Each pair of shoes has a different heel height, each pair of pants is made from a different fabric, and each shirt is a different color.
Jackie randomly picks some clothes.
What is the probability that she chooses an outfit consisting of the flat heel or spike heel shoes, the twill or the denim pants, and the white or black shirt?
Answer:
2/9
Step-by-step explanation:
i just took a test with this exact question, and the answer was 2/9
youre welcome future learners ;)
On three examinations Dana received scores of 82, 89, and 80. What score does Dana need on the fourth examination to raise his average to 86
Dana needs to score 93 on the fourth examination to raise his average to 86.
To find out the score Dana needs on the fourth examination to raise his average to 86, we can use the concept of averages.
Let's denote the score Dana needs on the fourth examination as X. We know that he has taken three examinations and received scores of 82, 89, and To find the average, we sum up all the scores and divide by the number of examinations:
Average = (82 + 89 + 80 + X) / 4
We want this average to be 86. So we can set up the equation:
86 = (82 + 89 + 80 + X) / 4
To solve for X, we multiply both sides of the equation by 4:
4 * 86 = 82 + 89 + 80 + X
344 = 251 + X
Now, subtracting 251 from both sides:
344 - 251 = X
93 = X
Therefore, Dana needs to score 93 on the fourth examination to raise his average to 86.
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How do you find the cube root of a number?
I am literally confused, it would be appreciated if someone explained to me. Thank you :)
Answer:
How to Cube A Number
To cube a number, just use it in a multiplication 3 times .
A cube root goes the other direction:
3 cubed is 27, so the cube root of 27 is 3
Find the mean (average) of the following sets of numbers. a. 24, 45, 38, 56, 27 b. 24, 31, 17, 39, 9, 17 c. 125, 136, 174, 116, 164 d. 3.8, 9.2, 6.7, 11.5 e. 7.3, 7.5, 7.0, 8.1, 8.0
The term "mean" or "average" refers to a statistical measure that describes the central value of a set of data.
It is found by adding all the numbers in a set and dividing the sum by the total number of items in the set. The mean is a valuable tool in interpreting and comparing sets of data. Given below are the solutions to the problems presented:
a. Mean (average) = (24 + 45 + 38 + 56 + 27)/5= 190/5= 38
b. Mean (average) = (24 + 31 + 17 + 39 + 9 + 17)/6= 137/6= 22.83
c. Mean (average) = (125 + 136 + 174 + 116 + 164)/5= 715/5= 143
d. Mean (average) = (3.8 + 9.2 + 6.7 + 11.5)/4= 31.2/4= 7.8e.
Mean (average) = (7.3 + 7.5 + 7.0 + 8.1 + 8.0)/5= 38.9/5= 7.78
Therefore, the mean (average) of the given sets of numbers is:
a. 38 b. 22.83 c. 143 d. 7.8 e. 7.78
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ANSWER FAST!!!!!! DUE IN 20 MINUTES!!!!!!!!! If the volume of a closet space is 193536 inches and the volume of one roll of toilet paper is 79 inches. How many rolls of toilet paper can be fit into the closet space?
Answer:
square feet per roll, this translates to about 188 square feet per person each week
if the least-squares regression line for predicting y from x is y = 50 – 15x, what is the predicted value of y when x = 3?
The predicted value of y when x = 3, based on the least-squares regression line equation y = 50 - 15x, is y = 50 - 15(3) = 5.
The given least-squares regression line equation y = 50 - 15x represents a linear relationship between the variables x and y. In this equation, the coefficient of x (-15) represents the slope of the line, and the constant term (50) represents the y-intercept.
To find the predicted value of y when x = 3, we substitute x = 3 into the equation and solve for y. Plugging in x = 3, we have y = 50 - 15(3). Simplifying this expression, we get y = 50 - 45 = 5.
Therefore, when x = 3, the predicted value of y based on the least-squares regression line is 5. This means that according to the regression line, when x is 3, the expected or estimated value of y is 5.
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