Answer:
0.15(40)=6
p=46
Step-by-step explanation:
What can each term of the equation be multiplied by to eliminate the fractions before solving? x – + 2x = StartFraction one-half EndFraction x minus StartFraction 5 Over 4 EndFraction plus 2 x equals StartFraction 5 Over 6 EndFraction plus x. + x 2 6 10 12
Answer: while solving an equation involving fractions we eliminate the fraction by multiplying the LCD of all the denominators present in the equation . LCD means Least common Denominator so for this question when we try to eliminate the denominator we first try to find the LCM (2,4,6) because that will give us the LCD.
2=2
4=2·2
6=2·3
LCM = 2·2·3
LCM = 12
It means we need to multiply the 12 to each term of equation to eliminate the fractions before solving.
12
To eliminate the fractions, multiply the equation by the 12
Equation
A equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation:
\(x-\frac{5}{4}+2x=\frac{5}{6}+x\)
To eliminate the fractions, multiply by the L.C.M of the denominator of the fraction i.e. 12 to get:
12x - 15 + 24x = 10 + 12x
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Find the area of the triangle below.
Be sure to include the correct unit in your answer.
5 yd
12 yd
13 yd
Answer:
You didn't tell me which one is the base or height
Step-by-step explanation:
Area of a triangle: \(\frac{1}{2} bh\)
As a fundraiser for a debate club, the Pikesville High School debate club plans to sell
T-shirts that feature the school logo. The company producing the T-shirts will
charge the club $250 for the design and set-up costs, plus $10 per T-shirt. The club
members have decided to sell the T-shirts for $15 each.
How many shirts does the debate club need to sell in order to break even?
The number of shirts that the debate club need to sell on order to break even would be = 17 T-shirts.
How to calculate the number of T-shirts to be sold?The total amount of money that the company producing the T-shirts will charge the club = $250
The total charge contains the following:
The design,the set-up cost andThe cost for making each T-Shirt.The amount to sell each T-Shirt. = $15 each.
The number of T-shirts that can be sold = 250/15 = 16.6
That is approximately = 17 T-shirts.
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what ratios are equivalent to 6 : 3?
Answer: 12: 6 and 24: 12 and 3: 1.5
Step-by-step explanation: A ratio can be equivalent through multiplication such as 6: 3 to 12: 6
Answer:
2 : 1,
12/
Step-by-step explanation:
all you have to do is cross out the numbers, basically simplify the
the answer is 2:1 because in 3's multiplication table,
3×2=
and
3×1=
similarly , for 12/6, divide instead of multiplication, there area few other ratios equivalent to 6/
a bag contains three red marbles, two green ones, one lavender one, one yellow, and three orange marbles. hint [see example 7.] how many sets of five marbles include at least two red ones?
There are 246 sets of five marbles that include at least two red ones. We can use the principle of inclusion-exclusion, as hinted in Example 7.
First, we can find the total number of sets of five marbles, which is the number of ways to choose five marbles out of ten without any restrictions. This can be calculated using the formula for combinations: C(10, 5) = 252
Next, we need to subtract the number of sets that do not include any red marbles. We can choose five marbles from the seven non-red marbles in C(7, 5) ways: C(7, 5) = 21
However, we have overcounted the sets that include only one red marble, so we need to add them back. We can choose one red marble from the three available in C(3, 1) ways, and we can choose four non-red marbles from the six available in C(6, 4) ways: C(3, 1) * C(6, 4) = 45
Finally, we also need to add back the sets that include exactly one red marble and no other red marbles, which we subtracted twice. We can choose one red marble from the three available in C(3, 1) ways, and we can choose three non-red marbles from the six available in C(6, 3) ways: C(3, 1) * C(6, 3) = 60
Putting it all together using the principle of inclusion-exclusion, we get: Number of sets with at least two red marbles = C(10, 5) - C(7, 5) - C(3, 1) * C(6, 4) + C(3, 1) * C(6, 3) = 252 - 21 - 45 + 60 = 246
Therefore, there are 246 sets of five marbles that include at least two red ones.
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how to work out 1/4 of 24?
Answer:
6
Step-by-step explanation:
work out 25% of 24 then turn the answer into a fraction
Answer:
6 is the answer
Step-by-step explanation:
1/4 *24
1*6
6
2 1/16 as a improper fraction
Answer:
13/6
Step-by-step explanation:
Answer: 33/16
Step-by-step explanation: 2*16 = 32... 32+1= 33
Write the following interval as an inequality.
BOBTHEBUILDER can do it
Answer:
YES HE CAN
Step-by-step explanation:
Answer:
when you have Bob anything is possible
Find a vector orthogonal to both 2, 2, 0 and to 0, 2, 5 of the form 1
The vector orthogonal for both vectors is \((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\))
What is an orthogonal vector?
An orthogonal vector is a vector that is perpendicular to another vector in a given space. In other words, two vectors are orthogonal if their dot product is equal to zero.
To find a vector orthogonal to both 2, 2, 0 and 0, 2, 5 of the form 1, we can take the cross product of the two vectors, which results in a vector that is orthogonal to both. The cross product of 2, 2, 0 and 0, 2, 5 is given by:
(2, 2, 0) x (0, 2, 5) = (20, -10, -4)
So, a vector orthogonal to both 2, 2, 0 and 0, 2, 5 is given by (20, -10, -4). We can normalize this vector by dividing it by its magnitude, which is equal to sqrt(20^2 + (-10)^2 + (-4)^2) = sqrt(444). The normalized vector will be of the form 1:
\((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\))
Hence, the vector orthogonal for both vectors is \((20, -10, -4) / \sqrt{444}\) = (\(20 / \sqrt{444}\), \(-10 / \sqrt{444}\), \(-4 / \sqrt{444}\)).
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Event A occurs with probability 0.18, and event B occurs with probability 0.45. Also P(A∪B) = 0.465 . Then, rounding to four decimal places where necessary,
(a) P(A∩B) =
(b) P (A∣B)=
The values of P(A∩B) and P(A|B) are 0.165 and 0.3667, respectively.
Given:Event A occurs with probability 0.18.Event B occurs with probability 0.45.
P(A∪B) = 0.465.
Let us solve the above question step by P(A∩B)P(A∪B) = P(A) + P(B) - P(A∩B)0.465 = 0.18 + 0.45 - P(A∩B)P(A∩B) = 0.18 + 0.45 - 0.465P(A∩B) = 0.165P(A∩B) = 0.165)
P(A|B) = P(A∩B) / P(B)P(A|B) = 0.165 / 0.45P(A|B) = 0.3667P(A|B) = 0.3667 (rounded to four decimal places)
In this problem, we are given that Event A occurs with probability 0.18 and Event B occurs with probability 0.45 and P(A∪B) = 0.465 .
We are asked to find:(a) P(A∩B)(b) P (A∣B).
P(A∩B)For two events A and B, the probability of their union can be found using the formula: P(A∪B) = P(A) + P(B) - P(A∩B).
Substituting the given values, we have:0.465 = 0.18 + 0.45 - P(A∩B)Solving the above equation for P(A∩B), we get:P(A∩B) = 0.165Therefore, P(A∩B) = 0.165.(b) P(A|B).
The conditional probability P(A|B) can be found using the formula:P(A|B) = P(A∩B) / P(B).
Substituting the given values, we have:P(A|B) = 0.165 / 0.45Therefore, P(A|B) = 0.3667.Rounding it to four decimal places, we get:P(A|B) = 0.3667.
Therefore, the values of P(A∩B) and P(A|B) are 0.165 and 0.3667, respectively.
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please i'm begging i have so much homework to do i will give 5 stars and mark brainliest
The greatest common factors of the triplets of natural numbers are:
Case 1: G.C.F. = 8
Case 2: G.C.F. = 14
Case 3: G.C.F. = 9
Case 4: G.C.F = 2⁴
Case 5: G.C.F. = 16
Case 6: G.C.F. = 4
Case 7: G.C.F. = 15
Case 8: G.C.F. = 1
Case 9: G.C.F. = 3
Case 10: G.C.F. = 10
Case 11: G.C.F. = 2
Case 12: G.C.F. = 1
Case 13: G.C.F. = 4
Case 14: G.C.F. = 6
Case 15: G.C.F. = 4
Case 16: G.C.F. = 8
How to find the greatest common factor
Natural numbers can be classified into two groups: (i) Prime numbers, (ii) Composite numbers. Composite numbers are products of prime numbers. Greatest common factors are the greatest common natural number that can divide a group on number.
The process to determine the greatest common factor is shown below:
Represent each natural number as a product of prime numbers.Find the common prime numbers of the group of numbers.Obtain the greatest common factors.Case 1
80 = 2⁴ × 5
64 = 2⁶
56 = 2³ × 7
G.C.F. = 2³
G.C.F. = 8
Case 2
56 = 2³ × 7
84 = 2² × 3 × 7
14 = 2 × 7
G.C.F. = 2 × 7
G.C.F. = 14
Case 3
45 = 3² × 5
54 = 2 × 3³
81 = 3⁴
G.C.F. = 3²
G.C.F. = 9
Case 4
64 = 2⁶
16 = 2⁴
32 = 2⁵
G.C.F = 2⁴
Case 5
48 = 3 × 2⁴
64 = 2⁶
96 = 2⁵ × 3
G.C.F. = 2⁴
G.C.F. = 16
Case 6
28 = 2² × 7
48 = 2⁴
96 = 2⁵ × 3
G.C.F. = 2²
G.C.F. = 4
Case 7
90 = 2 × 3² × 5
75 = 3 × 5²
45 = 3² × 5
G.C.F. = 3 × 5
G.C.F. = 15
Case 8
70 = 2 × 5 × 7
54 = 2 × 3²
95 = 5 × 19
G.C.F. = 1
Case 9
33 = 3 × 11
6 = 2 × 3
84 = 2² × 3 × 7
G.C.F. = 3
Case 10
30 = 2 × 3 × 5
90 = 2 × 3² × 5
70 = 2 × 5 × 7
G.C.F. = 2 × 5
G.C.F. = 10
Case 11
100 = 2² × 5²
30 = 2 × 3 × 5
2 = 2
G.C.F. = 2
Case 12
92 = 2² × 23
67 = 67
41 = 41
G.C.F. = 1
Case 13
92 = 2² × 23
16 = 2⁴
20 = 2² × 5
G.C.F. = 2²
G.C.F. = 4
Case 14
54 = 2 × 3³
60 = 2² × 3 × 5
72 = 2³ × 3²
G.C.F. = 2 × 3
G.C.F. = 6
Case 15
12 = 2² × 3
72 = 2³ × 3²
80 = 2⁵ × 5
G.C.F. = 2²
G.C.F. = 4
Case 16
80 = 2⁴ × 5
24 = 2³ × 3
48 = 2⁴ × 3
G.C.F. = 2³
G.C.F. = 8
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missy rode her bicycle 16 miles in 1 1 4 hours. what was her average speed in miles per hour? miles per hour step by step
Missy rode her bicycle 16 miles in 1 1 4 hours. Her average speed in miles per hour is 12.8 mph
What is average speed?Calculating average speed involves dividing the whole distance traveled by the total time it takes to cover that distance.
Speed is the rate of movement of anything at a specific time. Average speed refers to the average speed during the course of a journey. Typically, average speed refers to the speed of moving objects like cars, trains, and aircraft. It is frequently expressed in kilometers per hour (kph) or miles per hour (mph) (kph).
In many different disciplines, such as physics, astronomy, and transportation, average speed is employed.
As we know,
average speed is distance traveled divided by time taken
⇒ average speed = 16 miles × 5/4
⇒ average speed = 12.8 miles/hour
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there are 15 students in a guitar club. 40% of them bought a club t shirt. how many t shirts were purchased pls help me asapp
Answer:
37.5, 3/8
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
15 students x 0.4 (equivalent to 40%) = 6
OR
15/100% = 0.15 (to find one percent)
0.15 = 1%
0.15 x 40% = 6 (to find 40%)
Consider the following table of activities A through G in which A is the start node and G is the stop node. Activity Duration (days) Predecessor A 5 -- B 8 A C 7 A D 6 A E 9 B, C, D F 10 B, C, D G 5 E, F On a piece of scratch paper, draw the network associated with this table and determine the following. What is the total slack for activity F? 4 (B) 2 (C) 1 (D) 3 (E) 0
The correct answer is 2 (C) - 2 days is the total slack for activity F. To determine the total slack for activity F, we need to calculate the slack for each activity in the network. Slack refers to the amount of time an activity can be delayed without affecting the project completion time.
1. First, let's draw the network using the information provided:
- A is the start node and G is the stop node.
- Activity A has a duration of 5 days and has no predecessor.
- Activities B, C, and D have durations of 8, 7, and 6 days respectively, and their predecessors are A.
- Activity E has a duration of 9 days and its predecessors are B, C, and D.
- Activity F has a duration of 10 days and its predecessors are B, C, and D.
- Activity G has a duration of 5 days and its predecessors are E and F.
A
/|\
/ | \
/ | \
B C D
\ | /
\ | /
\|/
E
|
F
|
G
2. Now, let's calculate the slack for each activity:
- Slack is calculated by subtracting the earliest start time of an activity from the latest start time without delaying the project completion time.
- The earliest start time for activity F is 17 days.
- The latest start time for activity F is 19 days (project completion time is 22 days).
- Total slack for activity F = latest start time - earliest start time = 19 - 17 = 2 days.
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Assuming only the lengths of the sides of a triangle are given, how can you determine if the triangle has a right angle?
By the Pythagorean Theorem, the lengths of the sides of a triangle satisfy \(a^2+b^2=c^2\) if the triangle is a right triangle (in which case the angle between sides a and b is the right angle).
Write (8 x 10) + (6 x 1) +(2 x 0.1) + (7 x 0.001) with words.
Answer:
Eight times ten plus six times one plus two times one-tenth plus seven times one-thousandth.
Step-by-step explanation:
(8 x 10) = eight times ten
(6 x 1) = six times one
(2 x 0.1) = two times one-tenth
(7 x 0.001) = seven times one-thousandth
I am not always the best with the equations to words stuff, so please comment if I am wrong!
5
5 subtracted from three times any number.
Use
x
x to represent any number.
The given expression 5 subtracted from three times any number is written as 3x - 5
How to write algebraic equation?Algebra is the system of computation using letters or other symbols to represent numbers.
5 subtracted from three times any number.
Let
the unknown number= x
(3 × x) - 5
= 3x - 5
Therefore, 3x - 5 is the algebraic representation of the expression.
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Enter the value that belongs in the
green box.
57°
Х
Z
33
25
tan 33
Answer:
x
Step-by-step explanation:
tan33° = \(\frac{opposite}{adjacent}\) = \(\frac{x}{25}\)
Over which period(s) of time is the average rate of change zero? what, if anything, can you conclude about the actual temperature fluctuation within this period? a. the average rate of change of temperature is 0 from 2 pm to 4 pm; nothing can be concluded about the actual temperature fluctuation. b. the average rate of change of temperature is 0 from 2 pm to 4 pm and also from 10 am to 8 pm; nothing can be concluded about the actual temperature fluctuation. c. the average rate of change of temperature is 0 from 10 am to 8 pm; nothing can be concluded about the actual temperature fluctuation. d. the average rate of change of temperature is 0 from 2 pm to 4 pm and also from 10 am to 8 pm; the conclusion that can be drawn is that the temperature will not change for that time period.
The correct answer is (b) The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM.
What is a temperature simple definition?
Temperature is the measure of hotness or coldness expressed in terms of any of several scales, including Fahrenheit and Celsius. Temperature indicates the direction in which heat energy will spontaneously flow—i.e., from a hotter body (one at a higher temperature) to a colder body (one at a lower temperature).The correct answer for this question is- The period(s) of time where the average rate of changes to zero is "b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PMNothing can be concluded about the actual temperature fluctuation.Learn more about temperature
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The complete question is-
The National Weather Service keeps track of the temperature for a given day in a given city. It also keeps track of this information at certain times during a given day. The following temperatures were recorded on a January day in New York City.Time of Day10 AM12 Noon2 PM4 PM6 PM8 PM10 PMTemperature (F)30353636343028Over which period(s) of time is the average rate of change zero? What, if anything, can you conclude about the actual temperature fluctuation within this period?a.The average rate of change of temperature is 0 from 2 PM to 4 PM; Nothing can be concluded about the actual temperature fluctuation.b.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.c.The average rate of change of temperature is 0 from 10 AM to 8 PM; Nothing can be concluded about the actual temperature fluctuation.d.The average rate of change of temperature is 0 from 2 PM to 4 PM and also from 10 AM to 8 PM; The conclusion that can be drawn is that the temperature will not change for that time period.
HELP ASAP!!! 50 Points!!
Professor Plum is putting a brick border around his irregular shaped garden. Before installing
the border, Professor Plum must cut the bricks to fit the angles of the garden. Use the given
measures to answer the question.
∡ = (6)°
∡ = (3 + 45)°
∡ = (7)°
∡ = (4 + 2)°
∡ = (2 + 15)°
∡ = ( − 9)°
What are the angle measures of each vertex of the garden? Show your work
Answer:
x = 29
∠A = 174°
∠B = 132°
∠C = 203°
∠D = 118°
∠E = 73°
∠F = 20°
Step-by-step explanation:
Sum of interior angles of an irregular polygon = (n - 2) x 180°
where n = number of sides
The polygon has 6 sides,
therefore the sum of the interior angles = (6 - 2) x 180° = 720°
Add together all the angles, equal them to 720° and solve for x:
∠A + ∠B + ∠C + ∠D + ∠E + ∠F = 720
(6x) + (3x + 45) + (7x) + (4x + 2) + (2x + 15) + (x - 9) = 720
6x + 3x + 45 + 7x + 4x + 2 + 2x + 15 + x - 9 = 720
6x + 3x + 7x + 4x + 2x + x + 45 + 2 + 15 -9 = 720
23x + 53 = 720
23x = 720 - 53 = 667
x = 667/23 = 29
Now we have found the value of x, substitute this into the expression for each angle:
∠A = 6x = 6 x 29 = 174°
∠B = 3x + 45 = (3 x 29) + 45 = 132°
∠C = 7x = 7 x 29 = 203°
∠D = 4x + 2 = (4 x 29) + 2 = 118°
∠E = 2x + 15 = (2 x 29) + 15 = 73°
∠F = x - 9 = 29 - 9 = 20°
kendra rides her bike to school each day. it takes her 10 minutes to ride 30 blocks. what unit rate expresses the speed of kendra's bike ride? 2 block
The unite rate of the kendra's bike ride is found as 3 blocks / min.
Explain the meaning of the term unit rate?An item's unit rate is its price for one of it. This is expressed as a ratio with the number one as the denominator. A particular kind of ratio is a unit rate (or called a single-unit rate). One unit of one quantity will be compared to an unique number of units of another quantity.The given question is-
Total blocks covered = 30.Total time taken = 10 minutesUnit rate = number of blocks/ total time
Unit rate = 30 / 10
Unit rate = 3 blocks / min
Thus, the unit rate of the kendra's bike ride is found as 3 blocks / min.
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reposting again
i will give brainliest to best answer
Answer:
the answer is c plz trust
Step-by-step explanation:
Choose the model that shows 11/10-3/10
Answer:
The third model
Step-by-step explanation:
I'm pretty sure it is, I can't see all of them tho
will mark as brainliest if correct
Answer:lol if correct about wat about knowing nothing is there
Step-by-step explanation:
Cuál es el valor principal de sin−1(1)?
The maximum value of the sine function is 1, the angle corresponding to sin^(-1)(1) is π/2 or 90 degrees.
The principal value of sin^(-1)(1) is π/2 or 90 degrees.
The function sin^(-1)(x), also known as arcsin(x) or inverse sine, represents the angle whose sine is equal to x. In this case, we are looking for the angle whose sine is 1.
Since the sine function oscillates between -1 and 1, the angle corresponding to sin^(-1)(1) is the maximum value where the sine is equal to 1.
This occurs at π/2 or 90 degrees, making it the principal value for sin^(-1)(1).
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Find the area of the figure .
Answer:
Step-by-step explanation:
I think it is 6x5 and 3x4. 6x5 is 30 and 3x4 is 12.So 30 +12 is 42ft. If i get it wrong im so sorry.
Eva, Josh, and David gather and shell pecans for their mother. Eva gathers 2 1/2 pounds of pecans, Josh collects 3.25 pounds, and David harvests 4 3/8 pounds. If they place all the pecans in one basket and each shells the same amount of pecans, how many pounds would each person shell? Group of answer choices
Answer:
3.375 pounds.
Step-by-step explanation:
Total number of pounds of pecans =
2 1/2 pounds of pecans + 4 3/8 pounds + 3.25 pounds
= (6.875 + 3.25) pounds
= 10.125 pounds.
The total number of person = 3 person.
Therefore, the number of pounds each person would shell =
10.125 pounds/3
= 3.375 pounds
a parejas, resuelvan los siguientes problemas. En dos localidades hay habitantes que hablan una len- distinta al español: en El Cerrito son 3 de cada 4, mientras que en El Paseo son 5 de cada 7. gua a) ¿En cuál de las dos localidades hay un número ma- yor de hablantes de una lengua distinta al español? b) ¿De cuánto es la diferencia entre las dos localidades?
The difference between the two localities is 1 speaker.
Let's solve the problems step by step:
a) To determine which of the two locations has a higher number of speakers of a language other than Spanish, we need to compare the ratios of speakers in El Cerrito and El Paseo.
In El Cerrito, 3 out of every 4 people speak a different language than Spanish. This can be written as a ratio: 3:4.
In El Paseo, 5 out of every 7 people speak a different language than Spanish. This can be written as a ratio: 5:7.
To compare the two ratios, we can find a common denominator. In this case, the least common multiple of 4 and 7 is 28.
In El Cerrito, the ratio becomes 21:28 (multiplying both sides by 7).
In El Paseo, the ratio becomes 20:28 (multiplying both sides by 4).
From the ratios, we can see that in El Cerrito, there are 21 out of 28 people who speak a different language than Spanish, while in El Paseo, there are 20 out of 28 people who speak a different language than Spanish.
Since 21 is greater than 20, El Cerrito has a higher number of speakers of a language other than Spanish.
b) The difference between the two localities can be calculated by subtracting the number of speakers in El Paseo from the number of speakers in El Cerrito.
In El Cerrito, there are 21 speakers of a different language than Spanish.
In El Paseo, there are 20 speakers of a different language than Spanish.
The difference is obtained by subtracting 20 from 21, resulting in a difference of 1 speaker.
Therefore, the difference between the two localities is 1 speaker.
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Could someone please help??? "What is the simple interest that is missing from the table? Use the formula 1 = prt "
Answer:
$450.40
Step-by-step explanation:
I=(PRT)/100
I=(5630*4*2)/100=$450.40