The addition of the interior angles in a pentagon is equal to 540°, then:
85 + 115 + 100 + x + 107 = 540
x = 540 - 85 - 115 - 100 - 107
x = 133°
20p-8p-6p=12 please make sure it's right
Answer: step by step
Step-by-step explanation:
not totally sure what you're asking but in this equation p=2
This is a picture of a coordinate graph.
Which ordered pair describes a point that is located 4 units to the left of the origin and 6 units below the x-axis?
(4, −6)
(6, −4)
(−4, −6)
(−6, −4)
The circle graph represents the different kinds of plants the Martin family planted in their garden. Use the graph for Parts A-C.
Part A
If there are 200 plants in the garden, how many of them are green beans?
Part B
If there are 200 plants in the garden, which of the following represents the number of plants that are either pumpkin or tomato?
Part C
If there are 200 plants in the garden, which of the following represents how many more corn plants than cucumber plants there are?
Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.
What is a circle graph?A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.
Part A: The percentage of green beans in the circle graph is 14%.
14% of 200 = 0.14 x 200 = 28
Part B: The circle graph shows:
pumpkin plants and tomato plants is 20% + 20% = 40%.
40% of 200 = 0.40 x 200 = 80
Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.
36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52
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To evaluate whether customers enjoy the barista’s new smoothie, a restaurant manager surveys every other customer who orders the new smoothie. The manager determines that customers enjoy the new smoothie. Select all the statements that are true about the sampling method.
The sampling method used by the restaurant manager allows for efficient data collection and a representative sample, it may introduce bias and lacks randomization.
Based on the information provided, we can identify the following statements that are true about the sampling method used by the restaurant manager to evaluate customer satisfaction with the new smoothie:
1. The manager uses systematic sampling: The manager surveys every other customer who orders the new smoothie. This systematic approach involves selecting every second customer, providing a consistent and organized sampling method.
2. The sample is representative: By surveying every other customer who orders the new smoothie, the manager ensures that the sample includes a variety of customers, reflecting the customer population as a whole.
3. The sample size may be smaller than the total customer base: Since the manager surveys every other customer, the sample size may be smaller compared to surveying every customer. This allows for efficient data collection and analysis.
4.The sampling method may introduce bias: The manager may inadvertently introduce bias by only surveying every other customer. Customers who are skipped in the survey may have different preferences or opinions, leading to a potential bias in the results.
5. The sampling method lacks randomization: Randomization is not employed in this sampling method, as the manager systematically selects customers. This could potentially introduce bias or exclude certain types of customers from the sample.
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I don't need lengthy details I just want the answer
Answer:
Sue rode 1885 miles total
Step-by-step explanation:
There are 31 days in March, 30 in April, and 30 in May.
31 * 12 + 30 * 12 + 30 * 12 = 1092
There are 30 days in June and 31 in august.
30 * 13 + 31 * 13 = 793
Now we find the total:
1092 + 793 = 1885
What is t in t/3 = 4/9?
Answer:
\(t = \frac{4}{3} \)
Step-by-step explanation:
1) Multiply both sides by 3.
\(t = \frac{4}{9} \times 3\)
2) Use this rule: a/b × c = ac/b.
\(t = \frac{4 \times 3}{9} \)
3) Simplify 4 × 3 to 12.
\(t = \frac{12}{9} \)
4) Simplify 12/9 to 4/3.
\(t = \frac{4}{3} \)
Therefor, the answer is, t = 4/3.
and in decimal form it would be, 1.333333.
Solve 2^x-2=8^4 but not solving for x
Without explicitly solving for x, we can conclude that the solution to the equation 2^x - 2 = 8^4 is x = 12.
To solve the equation 2^x - 2 = 8^4 without explicitly solving for x, we can simplify the equation using exponent rules and observe the relationship between the numbers.
First, let's simplify the equation:
2^x - 2 = 8^4
We know that 8 can be expressed as 2^3, so we can rewrite the equation as:
2^x - 2 = (2^3)^4
Applying the exponent rule (a^m)^n = a^(mn), we can simplify further:
2^x - 2 = 2^(34)
Simplifying the right side of the equation:
2^x - 2 = 2^12
Now, we can observe that both sides of the equation have the same base, which is 2. In order for the equation to hold true, the exponents must be equal:
x = 12
Therefore, we may deduce that the answer to the equation 2x - 2 = 84 is x = 12 without having to explicitly solve for x.
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linda Put $610 in a savings account that pays 1.2% interest each year. Enrique puts $590 in a high-yield account that pays 3.9% interest each year.
PART A: After one year who has more money? How much more?
PART B: After a second year who has more money? How much more?
PART A: Linda has $4.41 more than Enrique after one year.
PART B: Enrique has $12.10 more than Linda after the second year.
PART A: After one year, we can calculate the amount of money each person has in their respective accounts.
For Linda's account:
Principal amount = $610
Interest rate = 1.2%
\(Interest $ earned = Principal $ amount \times (Interest rate/100) = $610 \times (1.2/100) = $7.32\)
\(Total $ amount after one year = Principal amount + Interest earned = $610 + $7.32 = $617.32\)
For Enrique's account:
Principal amount = $590
Interest rate = 3.9%
\(Interest $ earned = Principal amount \times (Interest rate/100) = $590 \times (3.9/100) = $22.91\)
Total amount after one year = Principal amount + Interest earned = $590 + $22.91 = $612.91
Comparing the two amounts, after one year Linda has more money.
The difference in the amount is:
$617.32 - $612.91 = $4.41
Therefore, Linda has $4.41 more than Enrique after one year.
PART B: After a second year, we need to calculate the amounts again.
For Linda's account:
Principal amount = $617.32
Interest rate = 1.2%
\(Interest earned = Principal amount \times (Interest rate/100) = $617.32 \times (1.2/100) = $7.41\)
Total amount after the second year = Principal amount + Interest earned = $617.32 + $7.41 = $624.73
For Enrique's account:
Principal amount = $612.91
Interest rate = 3.9%
\(Interest earned = Principal amount \times (Interest rate/100) = $612.91 \times (3.9/100) = $23.92\)
Total amount after the second year = Principal amount + Interest earned = $612.91 + $23.92 = $636.83
Comparing the two amounts, after the second year Enrique has more money.
The difference in the amount is:
$636.83 - $624.73 = $12.10
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What does it mean to evaluate?
Answer:
Evaluate means to assess or determine something.
Step-by-step explanation:
Answer:
Means to simply solve, sometimes you may need to show your thinking, depending on the question.
Step-by-step explanation:
Help please quick!!!!!!
first one
2x+43 = 180
.....
The average height of women between ages 30-39 is 163.2 cm with a standard deviation of 9.3 cm. Find the probability that a woman in this age group is over 160 cm tall if it is known that the distribution is approximately normal. Group of answer choices
Answer:
D) 0.6346
Step-by-step explanation:
using the centriod explain the relationship between point z and the triangle. justify with applicable theorem.
4. if the length of gu is 18 units, what is the length of gz?
5. if the length of zt is 4.8 units, what is the length of ot?
show all work
By the Centroid Theorem, the lengths are given as follows:
4. GZ = 12 units.
5. OT = 14.4 units.
What is the Centroid Theorem?The Centroid Theorem states that the centroid of a triangle is located two-thirds of the total distance from each vertex to the midpoint of the opposite side.
Hence for length GZ we have that:
GZ = 2GU/3
GZ = 2 x 18/3
GZ = 12 units.
For length OT, we have that:
ZT = 1/3OT
OT = 3ZT
OT = 3 x 4.8
OT = 14.4 units.
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Find the perimeter of this shape
The perimeter of the given shape as represented in the task content is; 29 cm.
What is the perimeter of the given shape?It follows from the task content that the perimeter of the given shape on the centimeter grid as required is to be determined.
Since each grid line has 1cm as it's length;
The perimeter of the shape is the sum of all side lengths of the shape;
Perimeter, P = 6+2+3+2+2+1+3+2+2+2+2+1
P = 29 cm
Hence, the perimeter of the shape is; 29 cm.
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What is the area of the square that measures 3.1 m on each side
The area of the square with a side length of 3.1 meters is 9.61 square meters.
To find the area of a square, we need to multiply the length of one side by itself. In this case, the square has a side length of 3.1 m.
Area of a square = side length × side length
Substituting the given side length into the formula:
Area = 3.1 m × 3.1 m
To perform the calculation:
Area = 9.61 m²
It's worth noting that when calculating the area, we are working with squared units. In this case, the side length is in meters, so the area is expressed in square meters (m²). The area represents the amount of space enclosed within the square.
Remember, to find the area of any square, you simply need to multiply the length of one side by itself.
The area of the square with a side length of 3.1 meters is 9.61 square meters.
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There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
Answer:
83 kids total
Step-by-step explanation:
There are 54 girls on the playground. There are 25 fewer boys than girls on the playground. How many kids are on the playground?
girls = 54
boys = 54 - 25 = 29
54 + 29 = 83 kids total
kids that are on the playground are 83.
What is the sum?Merging objects and identifying them since one big bunch is done through addition. In arithmetic, addition is the technique of adding two or more integers together. The product can meet are the quantities that are included, and the outcome of the operation, or the final response, is referred to as the sum.
The total number of girls that are present is 54
The data given is that there are
25 fewer boys taht are4 present
The total number of boys will be
boys = 54 - 25 = 29
The number of kids that are present will be the total of boys and girls that are present.
Kids = boys + girls
54 + 29 = 83 kids total
The quantity of kids that are present in the playground is 83.
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Use custom relationships to create a graph, showing the solution region of the system of inequalities, representing the constraints of the situation. Did Mark and label it point represents a viable combination of guest School district is planning a banquet to honor his teacher of the year and raise money for the scholarship foundation. The budget to hold the banquet in a hotel room and miles is $3375 the venue can hold no more than 125 guest the cost is $45 per adult but only $15 per student because caterer offers a student discount discount
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
What is banquet?
A banquet is a large formal meal that usually involves multiple courses and is served to a group of people on special occasions such as weddings, awards ceremonies, or fundraising events. Banquets often include speeches, presentations, and entertainment, and are typically held in a large venue such as a hotel ballroom, banquet hall, or conference center. Banquets can be hosted for a variety of purposes, such as to honor a special guest, celebrate an achievement, or raise money for a charitable cause.
To create a graph showing the solution region of the system of inequalities representing the constraints of the situation, we can use custom relationships to define the variables and constraints.
Let's define the variables:
Let x be the number of adult guests.
Let y be the number of student guests.
Now, let's write the system of inequalities representing the constraints of the situation:
The total number of guests cannot exceed 125: x + y ≤ 125
The cost of hosting the banquet cannot exceed $3375: 45x + 15y ≤ 3375
To graph this system of inequalities, we can plot the boundary lines of each inequality and shade the region that satisfies all the constraints.
The boundary lines of each inequality are:
x + y = 125 (the line that connects the points (0, 125) and (125, 0))
45x + 15y = 3375 (the line that connects the points (0, 225) and (75, 0))
To find the viable combinations of guests that satisfy all the constraints, we need to shade the region that is below the line x + y = 125 and to the left of the line 45x + 15y = 3375.
The resulting graph should look like this:
The point where the two lines intersect, (75, 50), represents the maximum number of adult guests (75) and the maximum number of student guests (50) that can be invited to the banquet while staying within the budget and venue capacity. Any point within the shaded region represents a viable combination of guests.
We can label the point (75, 50) as the optimal solution for the banquet, as it represents the maximum number of guests that can be invited while staying within the constraints.
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Maxwell buys a bag of dog food that contains 18 cups of food, Maxwell feeds his dog 1 cups each day. Maxwell says he will be able to feed his dog for 27 days.
correct?
Answer:
No. He will not have enough dog food for 27 days.
Step-by-step explanation:
If he only has 18 cups and he feeds one cup to his dog everyday. He will not have enough for 27 days. he will only have enough for 18.
What is m24 if m25 = (2x)° and m24 = (x +9)°?
4
X
5
m24 =
The value of angle m<4 is 66 degrees
What are supplementary angles?The angles on a straight line are supplementary, this means that the angles sum up to 180 degrees.
From the information given, we have that;
m<4 = x + 9 degreesm< 5 = 2x degreesEquate the angles to 180 degrees
We have;
m<4 + m<5 = 180
Substitute the expression for each of the angles , we have;
x + 9 + 2x = 180
collect the like terms
3x = 180 - 9
subtract the values
3x = 171
Divide by the coefficient
x = 57
But m<4 = 57 + 9 = 66 degrees
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Divide 2.9 x 107 by 6.9 x 103 by using scientific notation. Round your answer to one decimal place in scientific notation with no spaces
What is the length of AB?
Answer:
10
Step-by-step explanation:
AB²=8²+6²
=64+36
=100
AB=10
Answer:
10 units
Step-by-step explanation:
Pythagorean Theorem:
a² + b² = c²
6² + 8² = c²
c = √100
10 units
BRAINLIEST please if this helped! PLEASE HELP THIS IS DUE IN AN HOUR
an art supplies store sells boxes that contain colored pencils and markers.
Each box has a colored pencil to marker ratio of 5 to 2. Complete the table
or the missing number of colored pencils, markers, or total number of
colored pencils and markers in each box for sale.
*it's in box like | blank | 20 | blank |.... so on so fourth. also the blanks are what I need to figure out*
Boxes for sale
||||||||||||||||||||||||||||||||||||||||||
Number of Colored | blank | 20 | blank |
Pencils | | | |
||||||||||||||||||||||||||||||||||||||||||
Number of Markers | 6 | blank | blank |
| | | |
Total Number of ||||||||||||||||||||||||||||||||||||||||||||
Colored Pencils and | blank | blank | 70 |
Markers in the Box |||||||||||||||||||||||||||||||||||||||||||||
Answer:
Using the ratio given, we know that for every 5 colored pencils, there are 2 markers in each box.
Therefore:
The first blank represents the number of colored pencils in the box. Since the ratio of colored pencils to markers is 5 to 2, we can calculate that there are 5 colored pencils for every 2 markers. This means that for each box, there are 5/7 of the total number of items are colored pencils. So the missing value in the first row is 35.
The second row indicates that there are 20 items in the box. We know that the first row (colored pencils) has 35 items, and since the total number of items in the box is 20, the missing value in the second row (markers) is 20 - 35/7 = 15.
The third row represents the total number of colored pencils and markers in each box. We know that there are 35 colored pencils and 15 markers in each box, so the total number of items in each box is 50.
Therefore, the completed table would be:
Boxes for sale
||||||||||||||||||||||||||||||||||||||||||
Number of Colored | 35 | 20 | 35 |
Pencils | | | |
||||||||||||||||||||||||||||||||||||||||||
Number of Markers | 6 | 15 | 6 |
| | | |
Total Number of ||||||||||||||||||||||||||||||||||||||||||||
Colored Pencils and | 41 | 35 | 50 |
Markers in the Box |||||||||||||||||||||||||||||||||||||||||||||
The Bainters want to know how much they would pay on their
loan each year as well as how much they would pay on their loan
after 5 years, 10 years, 15 years, and 30 years. They also want to
determine how much they would pay in interest on their loan
when they repay the entire loan.
What are the amounts?
Your answer should include (remember to show or explain your
calculations)
the total amount paid in loan payments after 1 year
the total amount paid in loan payments after 5 years
the total amount paid in loan payments after 10 years
the total amount paid in loan payments after 15 years
the total amount paid in loan payments after 30 years
the total amount of interest paid on the loan when it is
repaid
The total amounts paid are displayed in the image below:
What is an Interest Rate?The amount of interest due each period expressed as a percentage of the amount lent, deposited, or borrowed is known as an interest rate.
The total interest on a loaned or borrowed sum is determined by the principal amount, the interest rate, the frequency of compounding, and the period of time the loan, deposit, or borrowing took place.
How to calculate interest rates
Using S.I:
Simple Interest: The formula for simple interest is I = P x R x T, where I is the interest, P is the principal amount, R is the rate of interest, and T is the time period.
For example, if you borrow $1,000 at a simple interest rate of 5% per year for 3 years, the interest would be calculated as follows: I = $1,000 x 5% x 3 = $150.
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What is the exact volume of the cylinder? Enter your answer, in terms of π, in the box. m³ $\text{Basic}$ $x$$y$$x^2$$\sqrt{ }$$\frac{x}{ }$ $x\frac{ }{ }$ $x^{ }$$x_{ }$$\degree$$\left(\right)$$\abs{ }$$\pi$$\infty$ A cylinder that is 2.5 m tall with a radius of 1.5 m
Answer:
\(5.625\pi\) m³.
Step-by-step explanation:
The volume of a cylinder is found by calculating pi * r^2 * h.
In this case, h = 2.5, and r = 1.5.
pi * 1.5^2 * 2.5
= pi * 2.25 * 2.5
= pi * 5.625
So, the exact volume of the cylinder is \(5.625\pi\) m³.
Hope this helps!
Answer: Volume of Cylinder: \(\pi r^{2} *h\)
5.625π m.
Step-by-step explanation:
\(\pi r^{2} *h\) Cylinder Area Formula
\(\pi *1.5^{2} *2.5\) Substitution
\(\pi * 2.25 *2.5\) Exponent
\(\pi *5.625\) Multiply
\(5.625\pi\) Answer
Can anyone help me with my algebra work for #14 and #15?
I need help with writing the transition rule applied with each coordinate!
Looking at line XY and X'Y', The coordinates are
X(- 4, - 9) Y(- 5, - 5)
X'(- 1, 0) Y'(- 2, 4)
Looking at the point X,
There was a horizontal movement, 3 units to the right from - 4 to - 1
Also, there was a vertical movement, 9 units upwards from - 9 to 0
Looking at the point Y,
There was a horizontal movement, 3 units to the right from - 5 to - 2
Also, there was a vertical movement, 9 units upwards from - 5 to 4
Writing the transition rule, it becomes
(x, y) (x + 3), (y + 9)
Una sala de cine de New York vende las entradas para niños a 3 dólares y las de los adultos a 5 dólares. Si para ver una película pueden ingresar tanto niños como adultos y en un día
ingresan 345 espectadores, recaudando por concepto de venta de boletas 1365 dólares. Se
puede afirmar que el número de niños y adultos que ingresaron fue:
A la sala de cine ingresaron 180 niños y 165 adultos.
¿Cuántos niños y adultos ingresaron a una sala de cine?
De acuerdo con el enunciado, la sala de cine tiene capacidad para 345 espectadores y cobra 3 dólares por cada niño y 5 dólares por cada adulto. Asimismo, esta sala tiene un recaudo diario de 1365 dólares. La situación puede ser sintetizada en la siguiente ecuación algebraica:
3 · x + 5 · (345 - x) = 1365
Donde x es el número de niños que asistieron a la sala de cine.
Ahora despejamos la variable correspondiente mediante propiedades algebraicas:
3 · x + 1725 - 5 · x = 1365
1725 - 2 · x = 1365
2 · x = 1725 - 1365
2 · x = 360
x = 180
Ahora, el número de adultos es:
y = 345 - 180
y = 165
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Jack and carlie each deposit $17,250 into accounts that earn 6% interest for 6.5 years. Jacks account earns annual compound interest. Who will earn more interest after 6 years, and how much more interest will they earn?
Answer:
Translation from the other guy "Carlie will earn more because she will earn more money". for future people
Step-by-step explanation:
Which of the following represents the distributive property?
A. a = b then bea
B. a(b+c)=ab+ac
C. if a = band b-c, then a = c
D. If a = b then ac- be
The expression represents the distributive property from the list of options is (b) a(b + c) = ab + ac
Which of the expression represents the distributive property?The distributive property is a mathematical property that applies to multiplication and addition or subtraction.
It states that when you multiply a number (or variable) by a sum or difference inside parentheses, you can distribute the multiplication across the terms inside the parentheses.
This is represented by the following formula:
a(b + c) = ab + ac
This is represented by Option (B)
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Abby makes a pattern she starts with 700 she multiplies by 10 to get the second number she multiplies by 10 again to get the third number what is the third number?
Answer:
the third number is 70000
all the numbers that round to 940,000 when rounded to the nearest ten thousand?
The required number is 940,000.
It is required to find the solution.
What is rounded number?A number that is easily multiplied, divided, etc., and especially a number that ends in zero.
Solution:
To round a number to the nearest 10,000, check the thousands digit to decide whether to round up or round down. If the thousands are 5000 or more, round up. If they are 4999 or less, round down. 45,000 to the nearest 10,000 is 50,000.
The numbers that round to 940,000 when rounded to the nearest ten thousand is 940,000.
Therefore, the required number is 940,000.
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