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B. definitely true, the Most Appropriate choice.
C. false
D. false
Related Questions
Betty saves 3 times as much as Ann. Charles saves 390 less than Ann. If Betty saves 1,330 more than Charles, how much does Charles save
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Arnold has been given a 6 foot by 6 foot sheet of cardboard to make an open box by cutting an equal size square from each corner, folding up the resulting flaps, and taping at the corners. Your task is to label dimensions on a sketch with same size variable cut from each corner.
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Arnold creates an open box by cutting squares of size x from each corner of a 6x6 feet cardboard sheet and folding up the flaps, resulting in a box with a base of (6 - 2x) by (6 - 2x) feet and height x feet.
Explanation:To create an open box from a 6 foot by 6 foot sheet of cardboard, Arnold needs to cut squares of equal size from each corner. To represent this action, consider a square of x feet being cut out from each corner. The new dimensions of the cardboard, once the squares are removed, will measure (6 - 2x) feet by (6 - 2x) feet, with x representing the length of each side of the square cut-outs.
When Arnold folds the flaps up to form the sides of the box, the dimensions of the base will be (6 - 2x) feet by (6 - 2x) feet, and the height of the box will be x feet. The largest size for x is 3 feet, but that would result in no base for the box at all, so x must be less than 3 feet. The volume of the box can be calculated as V = x(6 - 2x)2. To maximize the volume, Arnold could use calculus to find the maximum value for V based on x within the range of 0 to 3 feet.
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three sets of a sum of a number and four are added to the sum of 7 times the same number and 13
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x--------------> a number
we know that
three sets of a sum of a number and four----------> 3(x+4)
the sum of 7 times the same number and 13--------> 7x+13
therefore
(Three sets of a sum of a number and four) are added (to the sum of 7 times the same number and 13) ----------> [3(x+4)] + [7x+3]
[3(x+4)] + [7x+3]------> [3x+12] + [7x+3]=10x+15
the answer is 10x+15
A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15 and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
A.) 2x^2 (75-8 [tex] \pi [/tex])
B.) 150x^2-4 [tex] \pi [/tex] x^2
C.) 134 [tex] \pi [/tex] x^2
D.) 134x^2
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A family is building a circular fountain in the backyard. The yard is rectangular and measures 10x by 15x and the fountain is going to be circular with a radius of 4x. Once the fountain is built, what will be the area of the remaining yard?
Step 1
find the area of rectangular yard (A1)
A1=(10*x)*15*x=150*x² units²
Step 2
find the area of the circular fountain (A2)
A2=pi*r²---------> pi*(4x)²=16*pi*x²
Step 3
find the area of the remaining yard (A3)
A3=A1-A2----------> 150*x²-16*pi*x²----> x²*[150-16*pi]----> 2*x²*[75-8*pi]
the answer is the option A)
2x² (75-8pi )
The strategy we were introduced to says to _________ as the last step before you declare that you have completed the problem. Look back to see whether you solved the problem that was given Check your math Re-read the problem just in case. Use a calculator to double check your work.
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Complete the work to determine the value of a. Use the law of sines: . Substitute: . Cross multiply: 8sin(45°) = asin(77°). Solve for a and round to the nearest hundredth: a ≈ .
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The value of a is 5.81 to the nearest hundredth.
What is the Law of Sines?The ratios of a triangle's side lengths to each of its opposite angles are related by the law of sines. There is no change in this ratio for the three sides or the opposing angles.
Using the law of sines, we have:
sin(45°)/a = sin(77°)/8
To solve for a, we can cross-multiply and simplify:
8sin(45°) = asin(77°)
a = (8sin(45°))/sin(77°)
Using a calculator, we get:
a ≈ 5.81 (rounded to the nearest hundredth)
Therefore, a ≈ 5.81.
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Solve z3+3z2−25z−75=0 .
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Factor out common terms in the first two terms, then in the last two terms
z^2(z+3)−25(z+3)=0
Factor out the common term z+3
(z+3)(z^2−25)=0
Ask: When will (z+3)(z^2−25) equal zero?
When z+3=0 or z^2−25=0
Solve each of the 2 equations above
z=−3,±5
Hope this helps
The hypotenuse of a right triangle is 50 mm. One leg of the right triangle is 30 mm. What is the length of the other leg? 20 mm 30 mm 40 mm 60 mm
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a^2 + b^2 = c^2
c = hypotneuse
give him brainliest :)
btw i didn't know how to spell it lol
In health class, students record the weights of the sandwiches they have for lunch. The weights are shown in the line plot below. What is the average weight of one sandwich?
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The mean of the value of a data is the sum of the data divided by the sample size. The average weight of one sandwich is 3/10
How to calculate the mean of data?The mean of the value of a data is the sum of the data divided by the sample size.
Mean = sum/sample size
Find the mean
Sum = 1/8 + 1/8 + 4(1/4) + 2(3/8) + 2(1/2)
Sum = 1/4 + 1+ 3/4 + 1
Sum = 3
Sample size = 10
Mean = 3/10
Hence the average weight of one sandwich is 3/10
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West Side Middle School and Jefferson Middle School recycled newspaper and kept track of how many pounds of paper each student collected.
Looking at the data as a whole, which school appears to have brought in more newspapers on a daily basis?
A) Jefferson Middle School
B) West Side Middle School
C) They brought in equal amounts on a daily basis.
D) This information cannot be determined.
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Answer:
The correct answer is answer B
Step-by-step explanation:
The picture I added
i need to know what the variable of x is please explain
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in the given figure triangle PQR is a right angle triangle with angle Q is equal to 19 degree of QRST is a square on the side QR and PRMN is a square on the side PR of the triangle prove that PS is equal to QM
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Terrance has one fewer sibling than Casey. Kolbie has three more siblings than Terrance
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Final answer:
By setting up simple equations based on the given statements, we can determine the relative number of siblings that Terrance, Casey, and Kolbie have.
Explanation:
Based on the provided statements, we can set up a system of simple algebraic equations to solve for the number of siblings each person has. Let's assume Casey has C siblings. According to the given information:
Terrance has one fewer sibling than Casey, which can be represented as T = C - 1.
Kolbie has three more siblings than Terrance, which can be represented as K = T + 3.
Therefore, Kolbie's equation becomes K = (C - 1) + 3 or K = C + 2 after simplifying. Through these relationships, we can understand the relative number of siblings each individual has.
Is the function represented by the table non-linear?
X / Y
-----------
6 / 4
7 / 2
8 / 0
9 / -2
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Please Help Me:
In which number is the value of the 9 ten times the value of the 9 in the number 920?
A. 509,000
B. 7,190
C. 8,900
D. 293,000
thank you!
Answers
Answer:
509,000
Step-by-step explanation:
The problem said that the 9 is ten times so when it said that the 920 is an example it actually mean to find that the 9 it gave us we have to find the 9 in the number 920.Here is an equation to help you.
900 x 9=9000.
the number 509,000 has the number 9 in the 1,000 place.
The place value is the value of a digit in a given number.
The number given in the question is 920. The place value of 9 is in the hundreds position.
Hence, The value of 9 is 900
The value of the 9 ten times the value of the 9 in the number 920 is calculated as
9 x 900 = 8900
Option C is the correct option.
Therefore, the value of the 9 ten times the value of the 9 in the number 920 is 8900.
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A triangle contains the angles 75" and 45". What is the missing angle in the triangle
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Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
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Car 1 and car 3 have the same speed.
What is division?Math operations include division as one of its types. This technique involves splitting the phrases or numbers into the same amount of components.
To find which cars traveled at the same speed, we need to calculate the speed of each car. We can do this by dividing the distance traveled by the time it took to cover that distance.
For example, car 1 traveled 140 miles in 2 hours, so its speed was:
Speed of Car 1 = Distance of Car 1 / Time of Car 1 = 140/2 = 70 miles per hour.
Similarly, we can calculate the speed of each car using the given data. When we do this, we get:
Speed of Car 1 = 70 mph
Speed of Car 2 = 80 mph
Speed of Car 3 = 70 mph
Speed of Car 4 = 50 mph
We can see that Car 1 and Car 3 traveled at the same speed, which was 70 miles per hour. Therefore, the answer is that Cars 1 and 3 traveled at the same speed.
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The complete question:
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car distance time
1 140 2
2 160 2
3 210 3
4 200 4
Janine wishes to conduct a poll to predict how many dance club members will vote for her for club president.
Which polling methods are likely to be biased?
Select each correct answer.
A. Five of Janine's friends are selected and asked for whom they intend to vote.
B. From a list of all club members, 25 members are selected at random and asked for whom they intend to vote.
C. Janine chooses 5 members that plan on voting for her and asks each to select another 5 members. These 25 members are asked for whom they intend to vote.
D. Every 10th club member from a list of all members is selected and asked for whom the member intends to vote.
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On average, 75% of the days in Henderson county are sunny, with little or no cloud cover. Describe a model that you could use to find experimental probability of sunny days each day for a week in Henderson county.
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You could place 3 red marble and 1 blue marble in a bag. The probability of drawing a red marble would be 3/4, which is 75%; this means red marbles would be sunny days and blue marbles would be cloudy days.
Each draw out of the bag would represent one day of the week. Draw a marble 7 times, replacing it after each draw. This would represent the weather for the days of the week.
DE is a line segment with endpoints D(-5,1) and E(3, 3). What are the coordinates of D’ and E’, the image of DE under a dilation of magnitude 1.5 and a center of dilation at the point (-4,2)?
Answers
x= |-4-(-5)| =1
y= |2-1| =1
Now we multiply this distance by the dilation factor
x_distance = 1 * 1.5 = 1.5
y_distance = 1 * 1.5 = 1.5
Now we do same for point E:
x= |-4-3| =7
y= |2-3| =1
Now we multiply this distance by the dilation factor
x_distance = 7 * 1.5 = 10.5
y_distance = 1 * 1.5 = 1.5
Now we need to find coordinates for points D' and E'.
Point D':
x = -4 - 1.5 = -5.5
y = 2 + 1.5 = 3.5
Point E':
x= -4 + 10.5 = 6.5
y= 2 + 1.5 = 3.5
D'(-5.5, 3.5)
E'(6.5,3.5)
Answer:
d= -2, 0
e= 6, 4
Step-by-step explanation:
Doing the same practice right now!!
A rectangular prism has a length of 312 inches, a width of 312 inches, and a height of 7 inches. Danny has a storage container for the prism that has a volume of 90 cubic inches.
What is the difference in volume between the prism and the storage container?
Enter your answer in the box as a simplified mixed number or a decimal.
Answers
Answer:
The answer would be 4 1/4
Step-by-step explanation:
The difference in volume between the prism and the storage container is 68,580 cubic inches.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
The volume of the rectangular prism is:
V = l × w × h
= 312 in × 312 in × 7 in
= 68,670 in³
The volume of the storage container is given as 90 cubic inches.
The difference in volume between the prism and the storage container is:
68,670 in³ - 90 in³ = 68,580 in³
Therefore, the difference in volume between the prism and the storage container is 68,580 cubic inches.
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The dot plot shows the number of visitors. Determine the median of the data set.
A) 56 B) 61 C) 62 D) 68
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Answer: C) 62
Step-by-step explanation:
Median is the middle value of a sorted (in an order) data.Total number of dots n=15 (odd)
Median = value denoted by middle number
i.e . Median = [tex]\dfrac{n+1}{2}^{th}\text{term}[/tex]
i.e . Median = [tex]\dfrac{15+1}{2}^{th}\text{term}[/tex]
i.e . Median = [tex]8^{th}\text{term}[/tex]
i.e. Median= Value denoted by 8th dot = 62
Hence, the median of the data set. = 62
Hence, the correct option is C) 62.
Answer:
c)61
Step-by-step explanation:
amy has 30 grams of flour. she puts 4 grams of flour in each pot of chowder that she make. she puts 5 grams of flour in each pot of potato soup that she makes. she makes 4 pots of chowder. does amy have enough flour left over to makes 3 pots of potato soup.
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After using 16 grams of flour to make 4 pots of chowder, Amy has only 14 grams of flour left, which is not enough to make 3 pots of potato soup, each requiring 5 grams of flour.
To solve this problem, we need to calculate the total amount of flour Amy uses for the chowder. Since she makes 4 pots of chowder, she would need:
4 pots × 4 grams/pot = 16 grams of flour
After making the chowder, Amy would have 30 grams - 16 grams = 14 grams of flour left.
Amy wants to make 3 pots of potato soup, and each pot requires 5 grams of flour. Therefore, she would need:
3 pots × 5 grams/pot = 15 grams of flour for the potato soup
Since Amy has only 14 grams of flour remaining, she does not have enough flour to make 3 pots of potato soup.
three friends go to the local farmers market. latasha spends $3.35. helen spends 4 times as much as latasha. Dee spends $7.50 more than helen. how much does Dee spend?
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4:08 - 1:15 =
WITH REGROUPING
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Answer:
excuse me what, what is the question
Step-by-step explanation:
The ordered pairs (1, 3), (2, 6), (3, 9), (4, 12) and (5, 15) represent a function. What is a rule that represents this function? a: y=x^3 b: y= 3^x c: y=3x d: y= x+3
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.. a. 2^3 = 8 ≠ 6
.. b. 3^2 = 9 ≠ 6
.. c. 3*2 = 6
.. d. 2 +3 = 5 ≠ 6
Only selection C makes sense.
Justification:
All the ordered pairs meet that the second number of the pair equal 3 times the first number of the pair:
Here is the proof:
Pair first number times 3 second number of the pair
(1, 3) 3 * 1 = 3 3 => check
(2,6) 2 * 3 = 6 6 => check
(3,9) 3 * 3 = 9 9 => check
(4,12) 3 * 4 = 12 12 => check
(5, 15) 3 * 5 = 15 15 => check.
So, all the pairs meet the rule y = 3x
Can someone please help! \
Please
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One side of a regular pentagon measures 0.78 centimeters. What is the perimeter of the pentagon in centimeters?
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What is the best estimate for the sum of 3/8 and 1/12
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while hiking on the grand canyon you realize your elevation is 2,400 ft. Is this elevation below sea level?