Fractions Context: How do they work? -
- In every fraction, there's a top number and a bottom number, separated by a short horizontal line.
- In a proper fraction, the smaller number — called the numerator — will always be on top, while the larger number — the denominator — will be on the bottom.
(NOTE: The larger number is not always on the bottom, when it's on the top it is considered an improper fraction!)
- The numerator tells us how many units we have of a whole and the denominator tells us how many units make up the whole. So, in the fraction 1/2, 1 is the numerator and 2 is the denominator — there are two units in the whole, but this fraction tells us that we only have one of these units.
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How can we muiltiply fractions?
Unlike when you are adding or subtracting fractions, you can multiply fractions with different denominators. For instance, it's not a problem to multiply 3/4 x 2/5.
Here's an example:
[tex]\frac{3}{4} * \frac{2}{5 } = \frac{3*2}{4*5} = \frac{6}{20}[/tex]
Think we're done here? Haha, not in the least!
Fractions in the form of answers must ALWAYS be simplified unless asked to do the opposite! We must simplify the fraction and reduce it to its purest form.
6/20 can be divided by 2 on both the numerator and the denominator.
3/10 would be the FINAL ANSWER!
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Joe has a mullet ratio of 1.5 (a) Find 2 possibilities for his hair lengths.
Mullet ratio of 1.5 is 1.8
Given:
The mullet ratio is 1.5
Rm=[tex]\frac{party}{buisness}[/tex]
Rm = 17/9
Rm=1.8
The ratio to their Mullet and several other higher-level extension questions.
Trimmed short in the front and sides, but left wild and long in the back. Mullet begins the experience with intuition, the lowest rung on the ladder of abstraction, asking students to decide using nothing more than their gut “which one is more Mullet-y” By the end, they’ve named variables and defined operations, entirely abstracting the context.
The pipe cleaner was inserted along the hair, and the students straightened it on their rulers to determine the size of the Party. The Business was often rather honest.
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Please help due today
Answer:
Bars Express is less expensive and will save you one cent on shipping costs for 5 candy bars.
Step-by-step explanation:
Plug in 5 into the x values of both equations and see how much they both cost.
Uber Bars -> 3 + 1.59(5) = 10.95
Bars Express -> 0.99 + 1.99(5) = 10.94
how are the cards and the proportional relationships useful for determining the diameter of the sun?
This investigation's goal is to demonstrate how quickly and easily we can determine the diameter of the sun using basic geometry.
How to determine the diameter of the sun?The cards must remain parallel and separated by a predetermined amount. Then, a tiny hole must be cut on one card so that sunlight can pass through and create the sun's picture on the other card. We base the formula described above on the diameter of this photograph of the sun. The diameter of the sun's picture on the card is now measured because we can choose the distance between the cards, and we already know that the sun is nearly 150 million kilometers away from the earth. i.. e. Since three of the values are known, we can use the technique above to determine the fourth unknown quantity and measure the diameter.
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solve the equation 6x = 12
Answer: x=2
Step-by-step explanation:
[tex]6x=12[/tex]
[tex]\frac{6}{6}x=\frac{12}{6}[/tex]
[tex]x=2[/tex]
help me understand this
Answer:
59,049
Step-by-step explanation:
Since 3^2 is basically 3 times 3 which is 9, then what's 9 times 9, 9, 9, 9, 9 (9^5)?
Answer: 3¹⁰
Step-by-step explanation:
[tex]\displaystyle\\(3^2)^5=\\\\3^{2*5}=\\\\3^{10}[/tex]
The formula d = 16t to the second power describes the number of feet d a skydiver falls in t seconds of free fall assuming there is not air resistance. How far does a skydiver fall between the third and fourth seconds?
Answer:
D=16(3)
=48 feet
D=16(4)
=64 feet
The distance between third and fourth second=64 feet-48 feet
=16 feet
Margaret drove to a business appointment at 70 mph. Her average speed on the return trip was 60 mph. The return trip took 1/3 hr longer because of heavy traffic. How far did she travel to the appointment?
Answer:
70t = 60t + 10
10t = 10
t = 1 hour
----------
1 hour 70 mi/hr = 70 miles
Step-by-step explanation:
8. Karen earned $81.00 at her job last week. Kimberly earned 33% as much money as Karen. How much money did Kimberly earn?
Answer:
$26.73
Step-by-step explanation:
Karen: $81
Kimberly: 33% of $81
33% of $81 = 0.33 × $81 = $26.73
Find these common multiple for five and nine
Answer: 45
Step-by-step explanation:
The LCM of 5 and 9 is 45. To find the least common multiple of 5 and 9, we need to find the multiples of 5 and 9 (multiples of 5 = 5, 10, 15, 20 . . . . 45; multiples of 9 = 9, 18, 27, 36 . . . . 45) and choose the smallest multiple that is exactly divisible by 5 and 9, i.e., 45.
7(3 + x) - 4(x + 1)
distributive property
Answer: 17+3x
Step-by-step explanation:
7(3 + x) - 4(x + 1)=
21+7*x-4x+(-4*1)= ==> Distribution Property
21+7x-4x+(-4)=
21+3x-4=
21-4+3x=17+3x
Find the perimeter of a rectangle whose width is 16 and whose length is 12 square feet
Answer:
56 square feet
Step-by-step explanation:
a rectangle has 4 sides, and two of each are the same;
12 is the length
16 is the width
12 + 12 + 16 + 16 = 56
final answer is 56 square feet
hope this helped xx
estimate the number of gallons of gasoline consumed by the total of all automobile drivers in the u.s., per year. suppose that there are about 3 × 108 people in the united states, approximately half of the them have cars, each car drives an average of 12,000 mi per year, and consumes a gallon of gasoline for each 20 mi .
The total amount of gallons of gasoline expended by all the automobile drivers in the United States is 9 × (10)10 gallons. It is obtained using the basic concepts of word problems based on multiplication and division.
What are word problems?
Word problems are defined as mathematical problems that are completely expressed in the notation of words or language rather than numbers. Word problems can simply be based on addition, subtraction, multiplication, division, percentage, etc.
Calculation of the total amount of gasoline consumed in the US in units of gallon
According to the word problem, the total number of people in the US is 3 × (10)8
Number of people having cars = ½ × 3 × (10)8
= 1.5 × (10)8
Each car drives an average of 12000 miles per hour, so the total distance travelled by one car is 12000 miles
The distance covered by all the cars = 1.5 × (10)8 × 12000
= 1.8 × (10)12 miles
20 miles is covered in 1 gallon of gasoline
1 mile is covered in 1/20 gallon of gasoline
So, 1.8 × (10)12 miles will be covered in 1.8 × (10)12 × (1/20)
= 9 × (10)10 gallons
Hence, the gallons of gasoline required is 9 × (10)10 gallons.
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multiple choice question. with explanation
Answer:
(1)
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° .
consider the inner triangle where
a + b + 58° = 180° ( subtract 58° from both sides )
a + b = 122°
consider the outer triangle where
c + d + 63° = 180° ( subtract 63° from both sides )
c + d = 117°
Then
a + b + c + d = 122° + 117° = 239°
3 QUESTIONS LEFT!! WILL GIVE BRAINLIEST TO PROPER ANSWER ONLY, NO SPAM
options for second drop down menu: P, K
Answer: Easy, T = VP/K
Step-by-step explanation:
1. Since you need to multiply P, making it VP = KT
2. Then, you need to divide the K, making it VP/K = T
3. So the first one is VP, the second one is K
FIRST ANSWER GETS BRAINLIEST
Answer:
The answer is 22 2/3
Step-by-step explanation:
HELP PLS.
A line segment has an endpoint at (4, 5). If the
midpoint of the line segment is (-1,4), what is the
location of the line segment's other endpoint?
=========================================================
Explanation:
A = (4,5) is one endpoint
B = (-1, 4) is the midpoint
C = (x,y) is the other endpoint
For now, focus on the x coordinates of each point
A and C have x coordinates of 4 and x respectively
Add them up and divide in half. Set this equal to the x coordinate of B
(4+x)/2 = -1
4+x = 2*(-1)
4+x = -2
x = -2-4
x = -6 which is the x coordinate of point C
Repeat this same idea for the y coordinates
(5+y)/2 = 4
5+y = 2*4
5+y = 8
y = 8-5
y = 3 which is the y coordinate of point C
Therefore, point C is located at (-6, 3)
--------------------------
To verify the answer, you can use the distance formula to calculate the following segment lengths: AB and BC
You should find that AB = BC. This is because the midpoint splits segment AC into two smaller equal pieces.
Another way to verify the answer is to use the midpoint formula on points A(4,5) and C(-6,3). The result of using this formula should be B(-1,4) mentioned earlier.
If f(a) = 3a – a2, which of the following are not true statements? Select all that apply. f(-5) = -40 f(4) = -4 f(-1) = 2 f(0) = 3 f(3) = 0
The true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
How to determine the valueGiven the function;
f(a) = 3a – a2
For f(-5), we substitute the value of a as -5, we have
f(-5) = 3(-5) - (-5)²
f(-5) = -15 - 25
f(-5) = -40
For f(4), we have
f(4) = 3(4) = 3(16)
f(4) = 12 - 48
f(4) = -36
For f(-1), we have
f(-1) = 3(-1) - (-1)²
f(-1) = -3 - 1
f(-1) = -4
For f(0), we have
f(0) = 3(0) -(0)
f(0) = 0
For f(3), we have
f(3) = 3(3) - 3²
f(3) = 0
Thus, the true statements are f(-5) = -40, f(0) = 3 and f(3) = 0
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question 4(multiple choice worth 1 points) (01.02 mc) bruno solved the following equation: 4x (10x − 4)
The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
What is a linear equation?It is described as the relationship between two variables, and a straight line results from plotting the graph of the linear equation.The equation is referred to as a linear equation in one variable if just one variable is contained in the equation.Now,
We are given the linear equation: [tex]4x + \frac{1}{2}(10x-4)=6[/tex]
4x + 5x -2 = 6 (Distributive property)9x - 2 = 6 (combining the like terms)9x = 8 (additive property of equality)x = 8/9 (division property of equality)Hence, The third and fourth solutions are correct when using the division property of equality, i.e., The justifications are 1. Distributive Property 2. Combine like terms 3. Addition Property of Equality 4. Division Property of Equality (Option 3 and 4).
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Molli purchased 9 apples for $3.96. While looking at her receipt, Molli divided $3.96 by 9.
Why might Molli perform this calculation?
Answer:
To find out how much each apple cost
Step-by-step explanation:
If Molli bought 9 apples for a total of $3.96, she could divide her total by 9 to figure out how much each individual apple cost.
Pleas help me it would be so nice
Answer:
1. 0.003
2. 0.5
3. 0.001343
4.0.05003
5. 0.670570
6. 1.01
a scientist measured the weights (in grams) of 11 female guinea pigs (cavia porcellus) and got the following: 582 904 311 410 688 541 470 709 525 478 402 calculate the iqr
278 is the value of IQR.
What do we mean by IQR?The interquartile range (IQR) is a way of measuring statistical dispersion, or the spread of data, in descriptive statistics. The IQR is also known as the midspread, the middle 50%, the fourth spread, or the Spread. It is defined as the difference between the data's 75th and 25th percentiles. To calculate the interquartile range (IQR), first, compute the median (middle value) of the data's lower and upper halves. These are quartile 1 (Q1) and quartile 3 (Q3) values (Q3). The IQR is the distinction between quarters three and one.To find the IQR:
Arrange in ascending order as follows:
311, 402, 410, 470, 478, 525, 541, 582, 688, 709, 904The middle value or the median is 525.
IOR = Q₃ - Q₁Q₁ from the lower half is 410 and Q₃ from the upper half is 688.
So, IOR = 688 - 410 = 278Therefore, the value of IQR is 278.
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−4 3/3 − 5/3 subtract then simplify
The label on a car's antifreeze container claims to protect the car between −30°C and 130°C. To covert Celsius temperature to Fahrenheit temperature, the formula is C equals five ninths times the quantity F minus thirty two.. Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Answer:
he. haha. shyw sjIana d auhaabab ssbajiaan s
Please tell me what order these go in
The missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
What is the Vertical Angles Theorem?According to the vertical angles theorem, if two angles are vertical angles, then they would be congruent to each other.
The following are the missing reasons in the given proof;
1. <PAR and <TAS are vertical angles [given]
2. <PAR ≅ <TAS [vertical angles are congruent]
3. 3x + 14 = 50 - x [substitution]
4. 3x = 36 - x [subtraction]
5. 4x = 36 [addition]
6. x = 9 [division]
Therefore, the missing reasons in the prof are:
1. Given
2. Vertical angles are congruent
3. Substitution
4. Subtraction
5. Addition
6. Division
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An automobile purchased for $37000 is worth $2600 after eight
years. Assuming that the value decreased steadily each year,
what was the car worth at the end of the fifth year?
The car has a value of $ 15 500 at the end of the fifth year.
What is the value of a car in time?
In accordance with the statement, the value of an automobile decreases in time and decreases steadily. A stead decrease means that the value decreases linearly in time, whose formula is shown below:
C' = C + r · t (1)
Where:
C - Initial value of the car, in dollars.C' - Final value of the car, in dollars.r - Decrease rate, in dollars per time.t - Time.If we know that C = $ 2 600, C' = $ 37 000 and t = 8, then the value of the car at the end of the fifth is:
r = (C' - C) / t
r = (2 600 - 37 000) / 8
r = - 4 300
t = 5
y = 37 000 - 4 300 · 5
y = 15 500
The car has a value of $ 15 500 at the end of the fifth year.
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..., -39, ______, ______, -45,....
Find the missing term
∠
ABC = 40° and
x
= 9 cm.
Find the length of AC.
Give your answer rounded to 1 DP.
The length of AC is 6.228 cm.
Here the angle of the triangle ∡ABC is 40°, AB = BC = 9.
We have to find the length of AC which is opposite to ∡B.
Let AB = BC = x , AC = c
From the cosine formula, we know that
[tex]c^{2}[/tex] = [tex]a^{2}[/tex] + [tex]b^{2}[/tex] - 2ab cos α
Here c is the length of the side opposite to the angle α, and a, b is the side adjacent to the angle α.
So from the cosine formula we have
[tex]c^{2}[/tex] = [tex]x^{2}[/tex] + [tex]x^{2}[/tex] -2[tex]x^{2}[/tex]cos α
[tex]c^{2}[/tex] = 2[tex]x^{2}[/tex] - 2[tex]x^{2}[/tex] cos 40°
= 2[tex]x^{2}[/tex](1- cos 40°)
= 2 ×[tex]9^{2}[/tex] ( 1 - 0.76)
= 2 × 81 × 0.24
c = 2 × 9 × 0.2×√3
=3.6 × 1.73
= 6.228cm
Therefore the length of the side AC is 6.228cm.
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a portion of a map with cites A and B is shown. The map uses a scale of 1 inch to 30 miles a new map has a scale of 2 inches = 15 miles. how far apart are cites A and B on the new map?
1in=15 then it’s 75. For 2in=25 then it’s 62.5
seven times the quantity of the difference of a number cubed and eleven
write into algebraic expression
Answer:
7x(y^3-11)
Step-by-step explanation:
Find the 8th term of the arithmetic sequence 3x+13x+1, -2x+7−2x+7, -7x+13,
pls help me I will give brainlist
Answer: =38x+16.
a_{\color{red}{8}}=(\color{blue}{3x-5}) + (\color{red}{8}-1)(\color{green}{5x+3})
a
8
=(3x−5)+(8−1)(5x+3)
a_{8}=3x-5+ 7(5x+3)
a
8
=3x−5+7(5x+3)
a_{8}=3x-5+35x+21
a
8
=3x−5+35x+21