Multiplying a fraction less than 1 with a whole number produces a result that is less than the original whole number because you are taking a portion of it.
The product of a fraction less than 1 and a whole number is always less than the original whole number. To understand why, consider the fraction as a part of the whole. If you multiply the whole by a part less than the whole (a fraction less than 1), you're essentially taking only a portion of it, which must logically be smaller than the whole itself.
Choose the mixed number that has not been reduced to simplest form. 4 2/5, 5 5/6, 5 7/12, 7 14/18
7 14/18
Step-by-step explanation:
which class (sophomore, junior, or senior) had the lowest cumulative college gpa? what is the approximate value of that gpa?
Without the specific GPA data for the sophomore, junior and senior classes, it's impossible to determine which of these classes had the lowest cumulative college GPA.
Explanation:Unfortunately, from the data provided, we can't determine which class (sophomore, junior, or senior) had the lowest cumulative college GPA and the approximate value of that GPA. The information given relates more to correlation coefficients, random number generation, precalculus classes, and high school student classifications, but nothing specifically providing the desired GPA data.
Without specific GPA data for each class (sophomore, junior, senior), it's not possible to make an accurate deduction. An authoritative answer would be dependent on obtaining this specific data.
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Complete the coordinate proof of the theorem.
Answer:
Step-by-step explanation:
THESE ARE THE CORRECT ANSWERS
A wallet contains the same number of pennies, nickels, and dimes. The coins total $1.44. How many of each type of coin does the wallet contain?
System of equations contains more than one equation with unknown variables. The wallet contain 9 pennies, 45 nickels and 90 dimes
System of equationSystem of equations contains more than one equation with unknown variables
A wallet contains the same number of pennies, nickels, and dimes with a total of $1.44
The sum of the coins in terms of pennies is :
x + 5x + 10x = 144
16x = 144
x = 144/16
x = 9
Hence the wallet contain 9 pennies, 45 nickels and 90 dimes
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Evaluate (2-5i)(p+q)i when p=2 and q=5i
a. 29i
b. 29i-20
c. -21i
d. 29
Answer:
Answer:
The value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
As the expression given in the question.
= (2 - 5i) (p + q)i
Simplify the above
= (2 - 5i) (pi + qi)
= 2pi + 2qi - 5pi²- 5qi²
As i² = -1
Put in the above
= 2pi + 2qi + 5p +5q
= 2i × 2 + 2i × 5i + 5 × 2 + 5 × 5i
= 4i + 10i² + 10 + 25i
As i² = -1
= 4i - 10 + 10 + 25i
= 29i
Thus the value of the (2 – 5i)(p + q)i is 29i .
Option (a) is correct .
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
on edge:)
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What is 400,000 13,000 1104 ones in standard form
Supposed two angles are supplementary and one of them measures 31 degree what is The measure of the other angle
We will see that if the angles are supplementary, the measure of the other angle is 149°.
How to get the measure of the other angle?Two angles A and B are supplementary if their measures add up to 180°, so we must have:
A + B = 180°
In this case, we know that one of the angles measures 31°, let's say:
A = 31°
Replacing that we get:
31° + B = 180°
Solving for B, we get:
B = 180° - 31° = 149°
We conclude that the measure of the other angle is 149°.
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Derrick surveyed a random sample of 100 students from his middle school to learn more about what type of school lunches are preferred. The table below shows the result of the survey:
Hamburgers
Spaghetti
Pizza
Sample #1
43
13
44
Sample #2
41
20
39
Which of the following inferences can be made based on the data?
Pizza is the most preferred lunch.
Spaghetti is two times more popular than pizza.
Hamburgers and pizza are preferred almost equally.
Spaghetti is two times more popular than hamburgers.
hamburgers = 43 + 41 = 84
spaghetti = 13 + 20 = 33
pizza = 44 +39 = 83
since 83 & 84 are close the answer is:
Hamburgers and pizza are preferred almost equally.
Answer:
Hamburgers and pizza are preferred almost equally.
Step-by-step explanation:
A farm has75 acres of wheat the farmer can harvest the wheat from 12 acres per day in how many days will all of the fields be harvest y=mx+b
Three is less than the sum of a number s and 4
Answer:
Expression is,
[tex]3 < s + 4[/tex]
Solution is -1 < s.
Step-by-step explanation:
Given phrase,
Three is less than the sum of a number s and 4,
∵ Sum of s and 4 = s + 4,
Now, in the inequality,
We use < for 'less than'
Hence, 3 is less than s + 4
[tex]\implies 3 < s + 4[/tex]
Which is the required expression,
By solving it,
[tex]3-4<s[/tex]
[tex]\implies -1<s[/tex]
Identify two composite numbers that each have 8 as a factor
Suppose both employees work the same amount of time determine which employee earns more money
find the angle whose cosine is .4203
The angle is approximately 65.09 degrees or 1.106 radians.
To find the angle whose cosine is 0.4203, we can use the inverse cosine function, denoted as [tex]cos^{-1}[/tex]or arccos.
Ensure your calculator is in degree mode.Input 0.4203 into your calculator.Use the arccos function to find the angle.The result will be:
[tex]cos^{-1}[/tex](0.4203) ≈ 65.09°
This means the angle whose cosine is 0.4203 is approximately 65.09 degrees or 1.106 radians.
(4+m)+2ni=9+14i solve for n and m
Jan has 3 1/3 feet of rope to use on a camping trip. Assume 1 foot = 30.48 centimeters. What is the best estimate of the centimeters of rope Jan has?
A. 9 cm
B. 12 cm
C. 90 cm
D. 160 cm
Answer:
the correct Answer is definitely 90cm correct me If I am wrong!!
Which table represents a function?
simplify -44.288- 31.6 divided by -3.1(6-1.2)
Answer:
the answer is D. 5.1
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do Dollar markdowns represent price increases to the original selling price.
No, dollar markdowns do not represent price increases to the original selling price.
In retail, a markdown refers to a reduction in the price of an item from its original selling price. When a dollar markdown occurs, it means that the price of the item has been decreased by a specific dollar amount. This reduction is typically implemented to stimulate sales, clear out excess inventory, or attract customers.
For example, if an item originally priced at $50 is marked down by $10, the new selling price would be $40. Therefore, dollar markdowns signify a decrease in the selling price relative to the original price, rather than an increase. They are a common strategy used by retailers to adjust pricing to match market demand and drive sales.
Delia relative long jump length was recorded as 0. What does this mean
When we say about an object relative to something, this only means that we are comparing an object’s characteristic to that of our reference. So in this case, I think we are referencing Delia’s jump to someone else. Say our reference has a long jump length of 5 meters, since Delia’s relative long jump length is 0, this means that relative to the reference there is no difference. Therefore, Delia’s jump length is also 5 meters.
how many 2ps are worth two 5ps?
Theos mom bought an eight-pack of juiceboxes at the store for $4. Find the unit rate for the juice boxes.
In the coordinate plane, the directed line segment from K to N has endpoints at K(–6, –2) and N(8, 3). Point L partitions the directed line segment from K to N in a ratio of 1:2. Point M partitions the directed line segment from L to N in a ratio of 3:1. What are the coordinates of point M? Round to the nearest tenth, if necessary. (–1.3, –0.3) (2.5, 1) (5.7, 2.2) (7, 2.5)
its c .i just took it
The coordinates of point M are approximately (5.7, 2.2).
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
To find the coordinates of point M, we need to first find the coordinates of point L.
Since point L partitions the directed line segment from K to N in a ratio of 1:2, we can use the midpoint formula to find its coordinates:
L = [(1/3)(8 - 6) + (-6), (1/3)(3 - (-2)) + (-2)]
L = (-4, 1)
Next, we need to find the coordinates of point M, which partitions the directed line segment from L to N in a ratio of 3:1. We can use the same formula:
M = [(3/4)(8) + (1/4)(-4), (3/4)(3) + (1/4)(1)]
M = (5.5, 2)
Rounding to the nearest tenth, we get M ≈ (5.7, 2.2).
Therefore, the coordinates of point M are approximately (5.7, 2.2).
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Darcy harvest 8 3/4 acres of corn every 5/6 of an hour.
How many acres does she harvest per hour?
use proportions:
8 3/4 / 5/6 = x /1
8 3/4 = 35/4
x = 35/4 * 6/5
x = 210/20 = 10 1/2 acres in one hour
Lisa paid $43.95 for 16.1 gallons of gasoline. What was the cost per gallon, rounded to the nearest hundredth?
EVERY ANSWER THAT EXPLAINS, I WILL GIVE 5 STARS AND THANKS
Answer:
$2.37
Step-by-step explanation:
43.95 ÷ 16.1 = 2.37
=$2.37
which is equal to 300
What's the answer to question 10 and 11
Which value is equivalent to 8 multiplied by 4 multiplied by 2 whole over 8 multiplied by 7, the whole raised to the power of 2 multiplied by 8 to the power of 0 over 7 to the power of negative 3, whole to the power of 3 multiplied by 7 to the power of negative 9?
a 64 over 49
b 8 over 49
c 16 over 7
d 512 over 7
Henry made 3 batches of cookies. Each batch creates 12 cookies. If Henry gave the same amount of cookies to all of his 20 coworkers, how many cookies will Henry have left?
Rewrite the expression in terms of ln 5 and ln 6. ln(4500)
The expression ln(4500) can be rewritten in terms of ln 5 and ln 6 by using the properties of logarithms and prime factorization. The final expression is ln(4500) = 3 * ln(5) + 5 * ln(6).
Explanation:To rewrite the expression ln(4500) in terms of ln 5 and ln 6, we first need to break down 4500 into its prime factors. Starting off, we know 4500 = 5 * 5 * 5 * 3 * 2 * 2 * 2 * 2 * 2. Applying the properties of logarithms, ln a * b = ln a + ln b, the expression then becomes:
ln(4500) = 3* ln(5) + ln(3) + 5* ln(2).
Now, we have ln3 and ln2 terms instead of the desired ln5 and ln6 terms. To convert ln(2) and ln(3) to ln(5) and ln(6), we note that 6 = 2 * 3. Thus, ln(6) = ln(2) + ln(3). Replacing ln2 and ln3 with ln6 in our expression gives:
ln(4500) = 3 * ln(5) + 5 * ln(6).
So, ln(4500) can be expressed in terms of ln5 and ln6 as 3 * ln(5) + 5 * ln(6).
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