the circumference of a circular hot tub in a hotel is 56.5 yards.what is the diameter of the hot tub?
Andy used 1\6 of a can of paint to cover 1\2 of a wall. How much of the can of paint did Andy use to paint the whole wall? Express your answer in simplest form.
1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
What is a fraction?Fraction number consists of two parts, one is the top of the fraction number which is called the numerator and the second is the bottom of the fraction number which is called the denominator.
It is given that,
Andy used 1/6 of a can of paint to cover 1\2 of a wall.
Let x be the number of can of paint Andy use to paint the whole wall.
1/6 = 1/2 of the wall
2/6 = 2/2 = 1 whole wall
x = 2/6 = 1/3
Thus, 1/3 of the can of paint can be used to paint the whole wall if Andy used 1/6 of a can of paint to cover 1/2 of a wall.
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Jesse wants to save the same amount of money each week for a trip. He needs $3,060. If the trip is 36 weeks away how much money should Jesse save each week?
If the parent function is f(x) =x^2 and its transformed fuction is g(x)=2(x-1)^2
A company did a quality check on all the packs of trail mix it manufactured. Each pack of trail mix is targeted to weigh 9.25 oz. A pack must weigh within 0.23 oz of the target weight to be accepted. What is the range of rejected masses, x, for the manufactured trail mixes?
x < 9.02 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.25 or x > 9.48 because |x − 9.25| > 0.23
x < 9.25 or x > 9.48 because |x − 0.23| + 9.25 > 0
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Answer:
The correct option is D) x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
Step-by-step explanation:
Given:- Each pack of trail mix is targeted to weigh 9.25 oz. a pack must weigh within 0.23 oz of the target weight to be accepted.
We need to find out the correct range of rejected masses, X for the manufactured trail mixes
9.25 - 0.23 = 9.02 (It can't weigh less then this)
9.25 + 0.23 = 9.48 (It can't weigh more then this)
Since, rejected masses are : x < 9.02 and x > 9.48
Only option A and D has condition x < 9.02 and x > 9.48
In option A) |x − 0.23| + 9.25 > 0
this is wrong condition because it must be |x − 0.25|
For Option D)
Check:
modulus |x − 9.25| > 0.23 express as
- 0.23 > (x − 9.25) > 0.23
Add 9.25 in above ,
- 0.23 + 9.25 > (x − 9.25 + 9.25) > 0.23 +9.25
9.02 > x > 9.48
True
So, the correct option is D)
x < 9.02 or x > 9.48 because |x − 9.25| > 0.23
x+46=4/5(360) need help solving
If a ray divides an angle into two complementary angles then the original angle is a right angle
Answer:
true
Step-by-step explanation:
There are 9 counters in a bag.
7 of the counters are green.
2 of the counters are blue.
Ria takes a random two counters from the bag.
Work out the probability that Ria takes one counter of each colour.
You must show your working.
From a group of 8 people, you randomly select 2 of them. What is the probability that they are the 2 oldest people in the group?
The probability of randomly selecting the 2 oldest people from the group of 8 is approximately 0.0357 or 3.57%.
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.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The total number of possible ways to select 2 people from a group of 8 is given by the combination formula:
C(8,2) = 8! / (2! x 6!) = 28
This means that there are 28 different pairs of people that can be selected from the group of 8.
To calculate the probability that the 2 oldest people are selected, we need to first determine how many ways there are to select these 2 people.
Since the order in which we select the people does not matter, we can simply choose any 2 people from the group of 8 in order to select the 2 oldest people.
There are C(8,2) = 28 ways to select any 2 people, and since there is only 1 pair that consists of the 2 oldest people, the number of ways to select the 2 oldest people is 1.
Now,
The probability of selecting the 2 oldest people is:
1/28 = 0.0357
Thus,
The probability of randomly selecting the 2 oldest people from the group of 8 is approximately 0.0357 or 3.57%.
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Final answer:
To find the probability of selecting the two oldest people from a group of 8, we calculate the number of ways to choose 2 people from 8 (28 ways) and understand that there is only 1 way to choose the two oldest. Thus, the probability is 1/28.
Explanation:
The question asks about the probability of selecting the two oldest people from a group of 8. To solve this, we can use the concept of combinations. There is only one way to pick the two oldest people. However, the total number of ways to pick 2 people out of 8 is calculated using combinations, which can be represented as 8 choose 2 or 8C2. The formula for combinations is nCk = n! / (k!(n-k)!), where n is the total number of items, and k is the number of items to choose.
Applying this formula, the total number of ways to choose 2 people from 8 is :
8C2 = 8! / (2!(8-2)!) = 28
Therefore, the probability that the two people selected are the oldest is :
Probability = 1 / 28
the number below follow a pattern
300 30 3 0.3
part a answer is 0.03 0.003
part b
what is the relationship between the terms in the pattern?
Answer:
Part a) the next two numbers of the sequence is 0.03, 0.003
part b)
We get each successive terms, we get previous term divided by 10.
2nd term = 1st term ÷ 10
3rd term = 2nd term ÷ 10
4th term = 3rd term ÷ 10
Step-by-step explanation:
The given number are 300, 30, 3, 0.3
You can see that the previous number divided by 10 to get the next number.
So the next two numbers are
0.3 ÷ 10 = 0.03
0.03 ÷10 = 0.003
Part a) the next two numbers of the sequence is 0.03, 0.003
Part b.
We get each successive terms, we get previous term divided by 10.
2nd term = 1st term ÷ 10
3rd term = 2nd term ÷ 10
4th term = 3rd term ÷ 10
Explain how we use a tree diagram to determine the probability of an events
Tree diagrams are a helpful tool for calcuating probabilities when there are several independent events involved. They get their name because these types of diagrams resemble the shape of a tree. The branches of a tree split off from one another, which then in turn have smaller branches. Just like a tree, tree diagrams branch out and can become quite intricate.
What is the value of 11−3m , when m = 2?
5
6
10
12
jude is incorrectly simplified the expression [1/2]^2 times 1/2 times [1/2]^3, as shown below.
[1/2]^2 x 1/2 x [1/2]^3= [1/8]^6 =1/262,144
describe the mistake that jude made. In your explanation , provide the correct way to simplify the expression
Jude incorrectly squared the common base (1/2) when she should have added the exponents. The correct simplification of (1/2) ² × 1/2 × (1/2) ³ is (1/2) ⁵, which equals 1/32.
Jude made a common mistake while simplifying the expression (1/2) ² × 1/2 × (1/2) ³.
Instead of combining the exponents correctly, Jude incorrectly assumed that raising the power of a power would simply entail squaring (1/8), thus ending up with (1/8) ⁶ which equates to 1/262,144.
However, the correct method to simplify the expression involves adding the exponents when multiplying the same base number.
The correct simplification would be (1/2) ⁵ because we have (1/2) ² (twice), then multiplied by 1/2 (once), and then by (1/2) ³ (thrice), so the sum of the exponents is 2+1+3=6.
Therefore, (1/2)⁵ equals 1/32.
Following the rules for powers and exponents ensures that we arrive at the correct mathematical solution.
Graph the function y = |1.6x – 2| – 3.2. Over which interval is the function increasing?
(1.25, ∞)
(3.25, ∞)
(–∞, 1.25)
(–∞, 3.25)
The interval over which the function is increasing is:
(1.25,∞)
Step-by-step explanation:We are given a modulus function by:
[tex]y=|1.6x-2|-3.2[/tex]
From the graph of the function we see that the function is first decreasing in the interval (-∞,1.25) and then it increases continuously in the interval (1.25,∞) and goes to infinity.
Hence, the answer is:
(1.25, ∞)
Answer:
A. (1.25, ∞)
Step-by-step explanation:
why can you use addition to check a subtraction
The local zoo contracts with one of the local veterinary clinics for pet checkups and sick visites. the zoo manager thought the vet made more then 375 visits to the zoo in one year, but the actual number was 412. what was the percent error between the actual number of visits and the number of visits the manager thought the vet made
Which ordered pair is the solution to the system of equations? {−3x+4y=−20{,y=x−4 A.(−4, −8) .B.(−2, −6) C.(4, 8) D.(0, −5)
The solution of the given system of equations is (-4, -8).
Therefore, option A is correct.
Given equations are,
[tex]-3x+4y=-20..........(1)\\\\y=x-4 .........(2)[/tex]
Substituting the value of equation 2 in equation 1.
[tex]-3x+4(x-4)=-20\\\\-3x+4x-16=-20\\\\x=-20+16=-4[/tex]
Substituting the value of x in equation 2
We get, [tex]y=-4-4=-8[/tex]
The solution is (-4, -8)
Therefore, option A is correct.
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The crab nebula is a cloud of gas and dust particles in space that is expanding at a rate of 930 miles per second. What is its rate of expansion in miles per hour?
A rectangular floor is 24 feet long and 9 feet wide. What is the area of the floor in square yards?
Charlie is at a small airfield watching for the approach of a small plane with engine trouble. He sees the plane at an angle of elevation of 32. At the same time, the pilot radios Charlie and reports the plane’s altitude is 1,700 feet. Charlie’s eyes are 5.2 feet from the ground. Find the ground distance from Charlie to the plane. Show how you know
$1.12 for 8.2 ounces? Unit Rate
Spencer orders 235 cans of tomatoes to make salsa for the festival. What is 235 rounded to nearest 10
In solving this problem, you should know the basic place values:
For example:
243. in this example, 200 is the hundreds, 40 is the tens and the 3 is the ones.
So for our problem, 235 if rounded off to the nearest tens, it would be 240. Since according to the rules if the ones is 5 and above, the number will be rounded off.
We round down if the ones is 4 and below.
The number 235 rounded to the nearest ten is 240.
1. Identify the digit in the tens place of the number: In 235, the digit in the tens place is 3.
2. Look at the digit to the right of the tens place: In 235, the digit to the right of 3 is 5.
3. Determine if the digit in the tens place rounds up or down: Since 5 is 5 or greater, we round up the digit in the tens place.
4. Replace the digits to the right of the tens place with zeros: When rounding to the nearest 10, we only consider the digit in the tens place and ignore the digits to the right of it. So, we replace the digits to the right of the tens place with zeros.
5. Increase the digit in the tens place by 1 if rounding up: Since we are rounding up from 3 to the next higher multiple of 10, the digit in the tens place becomes 3 + 1 = 4.
6. Combine the rounded tens place digit with the zeros: After rounding, the number becomes 240.
Therefore, 235 rounded to the nearest 10 is 240.
Which statement about the ordered pairs (3, −8) and (4, 4) is true for the equation 3x−y/4=11 ? incorrect answer: Neither ordered pair is a solution..(3, −8) is a solution to the equation but not (4, 4)
.
( 3, −8 ) is a solution to the equation but not ( 4, 4 ) .
Neither ordered pair is a solution.
Neither ordered pair is a solution.
Both ordered pairs are solutions.
Both ordered pairs are solutions.
(4, 4)
is a solution to the equation but not (3, −8) .
Answer:
both ordered pairs are solutions
Step-by-step explanation:
An airplane flies 2700 miles from Los Angeles to New York City. When the plane flies back to Los Angeles, is it flying in a negative direction? Use absolute value to justify your answer.
Peter walks 3 minutes at a constant rate and travels 330 meters. If we graph this relationship with time along the x-axis and distance along the y-axis, the slope of the line representing this relationship is . If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is . NextReset
The point on the line that represents the distance Peter walks in an hour with respect to time is (60 minutes, 6600 meters).
What is the distance?Distance is defined as the product of speed and time.
The slope of the line representing the relationship between time and distance is the speed at which Peter is walking.
In this case, the slope is 330 meters / 3 minutes = 110 meters/minute. This means that Peter is walking at a speed of 110 meters per minute.
If Peter walks for an hour, the point on the line that represents the distance he walks with respect to time is (60 minutes, ?). To find the distance that Peter walks in an hour, we can use the formula for the distance traveled: distance = speed x time.
Plugging in the values, we get distance = 110 meters/minute x 60 minutes = 6600 meters.
Therefore, the point on the line that reflects Peter's walking distance in an hour in relation to time is (60 minutes, 6600 meters).
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The high temperature in Fairbanks, Alaska was 15.7 °F one day. That night, the temperature fell 38.4 degrees. What was the low temperature for the night?
Enter your answer as a decimal
Answer:
The low temperature for the night was of -22.7 °F.
Step-by-step explanation:
As the high temperature during the day was 15.7 degrees, but it fell 38.4 degrees in the night, in order to know which was that temperature we have to do the following calculation:
15.7 - 38.4: X (Temperature for the night)
-22.7: X
The low temperature for the night was of -22.7 °F.
Answer:
-22,7 i took the test
Step-by-step explanation:
Sheryl has a basket of ripe apples and peaches. The number of apples in the basket is 12 more than twice the number of peaches. If there are 36 apples in the basket, there are __ peaches in the basket
24 students in a class took an algebra test. If 18 students passed the test, what percent do not pass? Question 7 options: A) 6% B) 75% C) 18% D) 25%
The percentage of students that do not pass will be 25%. Then the correct option is D.
What is the percentage?The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates to one hundred percent. It is symbolized by the character '%'.
The percentage is given as,
Percentage (P) = [Final value - Initial value] / Initial value x 100
24 students in a class took an algebra test. If 18 students passed the test.
Then the percentage of the students that do not pass will be given as,
P = [(24 - 18) / 24] x 100
P = (6 / 24) x 100
P = 0.25 x 100
P = 25%
The percentage of students that do not pass will be 25%. Then the correct option is D.
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What is the perimeter of a triangle with sides of lengths 5, 8, & x?
13 + x
40 + x
40x
21
A student found the slope of a line that passes through the points (-8, -6) and (2, -3) to be 3/10.
What mistake did she make?
A - She calculated the run over the rise.
B - She forgot the negative sign.
C - She used the negative reciprocal of the slope.
D - She did not make a mistake. That is the correct slope.
Answer:
Its C, edge 2021
Step-by-step explanation:
No, she did not substitute the correct x and y values.