(a) Hans bought 11 pounds of rice for $5.
How many dollars did he pay per pound of rice?
the unit price is given by the total price divided by the total weight, therefore:
[tex]p=\frac{5}{11}=0.45454=0.45[/tex]He payed $0.45 per pound of rice
(b) It takes 16 pounds of seed to completely plant a 3-acre field.
How many pounds of seed are needed per acre?
the pounds of seed per unit area is given by the total pounds used to plant the total acres
[tex]s=\frac{16}{3}=5\frac{1}{3}=5.33[/tex]so, the answer is 5.33 pounds per acre
What is the slpoe of the line with equation y -3 = 1/2 (x-2)
Answer:
the slope is 1/2
when you rewrite the equation in slope intercept form it will be
y= 1/2x +2
86.177 Rounded to the nearest hundredth.
Please please help me!!!
answer the question in the photo
( I will mark Brainliest )
Step-by-step explanation:
7. the additive property of equality. we can add the same thing to both sides, and the equality stays true. it is like a balance with 2 cups. it is balanced, and we add the same weight to both sides. it remains balanced.
8. the commutative property of equality.
a = b, therefore b = a.
the simplest of all principles and properties.
imagine what would be the consequence, if that
were not true.
it would mean for example that you give the cashier in a store some money to pay for something, but the amount the cashier receives is not the same amount you have given the cashier. booom !
280 grams - 23grams=
please help ME !!!!!I need help !!!!!!!
From the given figure a pair of lines that appear to parallel are AG and CJ.
The line segments AG, BH and CJ and DF is transversal.
What are parallel lines?Parallel lines are those lines that are equidistant from each other and never meet, no matter how much they may be extended in either directions.
12. A pair of lines that appear to parallel are AG and CJ.
13. A perpendicular is a straight line that makes an angle of 90° with another line.
Here, the perpendicular lines are DF and BH.
14. When two or more lines meet at a common point, they are known as intersecting lines. The point at which they cross each other is known as the point of intersection.
Here, AG and DF, BH and DF, CJ and DF are intersecting lines.
Therefore, from the given figure a pair of lines that appear to parallel are AG and CJ.
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Describe in words a sequence of transformations that maps △ABC to △A^' B^' C^'.
Write an ordered-pair rule for this sequence of transformations.
If sequence of transformations that maps △ABC to △A^' B^' C^'.The sequence of transformation is 90 degrees counterclockwise rotation, followed by a vertical translation to the right by 2 unit. The ordered pair-rule for each are (x,y) tends to (-x,-y)
What is Transformation ?A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.
Image is the original shape of the object and final shape ond position of the object is the preimage.
In the given figure,
original image is △ABC and △A^' B^' C^' is the preimage.
Transformation includes changing the position of a shape.
The steps followed for transformation include rotating the image to 90 degrees counterclockwise rotation, later by a vertical translation to the right by 2 unit.
The ordered pair-rule for each are (x,y) tends to (-x,-y)
Hence △ABC is the original image and △A^' B^' C^' is the preimage and The ordered pair-rule for each are (x,y) tends to (-x,-y)
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Which list shows the numbers in order from greatest to least?
A 4.232, 4.2, 4.142, 4.1
B 4.1, 4.142, 4.2, 4.232
C 4.232, 4.142, 4.2, 4.1
D 4.2, 4.232, 4.142, 4.1
Answer:
ignoring the decimal. The order from greatest to least is 2, 4, 5, 6, and 8
I really need help please and thx
worth about 14 points
Answer:
The answer is -71.124
Step-by-step explanation:
Since there is a subtraction sign next to a negative it becomes addition.
so the equation becomes -95.004 + 23.88 which were going to flip around to 23.88 - 95.004
So,
23.880
- 95.004
-------------------
-71 .124
Noa contributes 16% of her $66,400 annual salary to her 401(k) plan. What is
her pre-tax income?
O A. $57,241
OB. $66,400
C. $79,048
OD. $55,776
how much less than 6 is the sum of 2 3/4 and 2 4/5
Answer:
0.45
Step-by-step explanation:
2.75+ 2.80= 5.55
6-5.55= 0.45
I hope this helps! :) If it does could you please mark me brainliest?
Answer:
Step-by-step explanation:
answer: 9/20
formulate 2 3/4 + 2 4/5 - 6
sorry if im wrong.
what is the value of the range of function f (x)=x2+2 for the domain value 1/4
The range of the given function f(x) = x² + 2 is found as 33/16.
What is called the domain and range of the function?A relation's domain and range are defined as the sets of all x-coordinates and all y-coordinates of ordered pairs, respectively. The domain as well as range of the a function are function components. The domain of a function is the set of all its input values, and the range is the function's possible output. Domain→ Function →Range.For the given question.
The function is given as;
f(x) = x² + 2
The range of the function for the domain of 1/4.
From the definition of domain put x = 1/4 in the function, the range will be obtained.
f(1/4) = (1/4)² + 2
f(1/4) = 1/16 + 2
f(1/4) = 33/16
Thus, the range of the given function f(x) = x² + 2 is found as 33/16.
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PLEASE HELP!!!!THANK YOU,
Lauren earns $$9.25 an hour plus 3% commission on all
sales up to $2,000, and 5% commission on any sales
over $2,000. Use the table to determine how much she
earned based on her hours and sales.
Answers:
Monday = $65.25Tuesday = $101.10Wednesday = $0Thursday = $0Friday = $101.36Saturday = $105.80Sunday = $69.66Total for the week = $443.17=========================================================
Explanation:
Since none of her sales exceed $2000, this means we can ignore the part that mentions "5% commission on any sales over $2,000".
h = number of hours
s = amount of sales between 0 and 2000
The equation is
m = 9.25h + 0.03s
where m is the amount of money made total for that day
9.25h is the amount of money at $9.25 an hour
The 0.03s represents 3% of the sales
-------------------------
For Monday, we plug in h = 6 hours and s = 325 dollars in sales
m = 9.25h + 0.03s
m = 9.25*6 + 0.03*325
m = 65.25
Lauren earned $65.25 on Monday
-------------------------
Repeat the same idea for Tuesday. This time we plug in h = 9 hours and her sales are s = 595 dollars.
m = 9.25h + 0.03s
m = 9.25*9 + 0.03*595
m = 101.10
She earned $101.10 for Tuesday.
Keep this process going until the entire week is filled out.
The answers are shown above to check your work.
-------------------------
Extra info:
If you added up the amounts earned for Monday through Sunday, then you should get $443.17 as the total amount earned for the entire week.
Divide this over the total number of hours worked (6+9+0+0+8+8+6 = 37 hours) and the effective hourly wage is 443.17/37 = 11.98 dollars an hour.
In a sense, the 3% commission adds an extra $2.73 an hour, since 11.98-9.25 = 2.73
Of course, this won't always be the case since the sales amount will fluctuate week to week. Also, there might be some cases in which Lauren is able to get over the $2000 sales threshold. But it gives a slight sense of what's going on.
find the first 5 terms and the 25th term of 6n-3n^2
The fifth and the twenty fifth terms of the arithmetic sequence are a5 = - 45 and a25 = - 1725
What is an arithmetic sequence ?A group of integers that are arranged in a particular order and share a difference between each term is known as an arithmetic sequence. For instance, the common difference between the numbers 3, 9, 15, 21, and 27 in mathematics is 6. The term "arithmetic progression" can refer to an arithmetic sequence..
The given expression is [tex]6n - 3n^2[/tex]
The 5th term that is n = 5
thus the given expression will become
[tex]6n-3n^2[/tex]
which is equal 6×5 - 3 (5)²
= 30 - 3 × 25
= 30 - 75
= - 45
The 25th term is n = 25
Thus the given expression that is [tex]6n-3n^2[/tex]
= 6 × 25 - 3× ( 25) ²
= 150 - 3 × 625
= - 1725
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How many two digit numbers have an odd number of factors?
There will be 6 two-digit numbers having an odd number of factors.
According to the question,
We have the following information:
There are two-digit numbers.
It means that the list of numbers is from 10 to 99.
Now, we have to find the numbers with the odd number of factors.
We know that odd numbers are the numbers which are not divisible by 2. For example, 1, 3, 5, etc. are odd numbers.
Note that 1 is also included as a factor.
Now, the numbers with odd number of factors will be the perfect squares as 1 will be added to them and the numbers will become odd.
So, the perfect two-digit square numbers are 16, 25, 36, 49, 64 and 81.
Now, we can prove that these numbers satisfy the given conditions by taking factor of any one number.
Let's take 25. The factors of 25 are 1, 5, and 5. So, in total there are 3 factors.
Hence, there are 6 two-digit numbers having an odd number of factors.
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No spamming please, thank you!
Number Series questions
What is Number Series?
A series of numbers is called a number series. We must identify the laws that lead to the production of a number series in order to answer the questions about number series. The questions that might arise from these topics are as varied as these series themselves.
41) 44, 41, 38, 35, 32, 29, 26
In this we are subtracting 3 from each numbers
44 - 3 = 41
41 - 4 = 38
Similarly,
26 - 3 = 23
23 - 3 = 20
42) 6, 10, 14, 18, 22, 26, 30
In this we are adding 4 on each numbers
6 + 4= 10
10 + 4 = 14
Similarly,
30+4 = 34
34 + 4 = 38
43)34, 30, 26, 22, 18, 14, 10
In this we are subtracting 4 from each numbers
34 - 4 = 30
30 - 4 = 26
Similarly,
10 - 4 = 6
6 - 4 = 2
44) 2, 44, 4, 41, 6, 38, 8
In this we subtract the alternative number from three and add other alternative with 2 from each numbers
2 + 2 = 4
44 - 3 = 41
4 + 2 = 6
41 - 3 = 38
Similarly,
38 - 3 = 35
8 + 2 = 10
45) 32, 29, 26, 23, 20, 17, 14
In this we are subtracting 3 from each numbers
32 - 3 = 29
29 - 3 = 26
Similarly,
14 - 3 = 11
11 - 3 = 8
46) 14, 14, 26, 26, 38, 38, 50
In this the numbers are repeated and added by 12
14, 14 + 12 = 26
26, 26 + 12 = 38
Similarly,
50, 50 + 12 = 62
47) 8, 12, 9, 13, 10, 14, 11
In this the numbers are added by 1 alternatively
8 + 1= 9
12 + 1= 13
Similarly,
14 + 1 = 15
11 + 1= 12
48) 4, 7, 26, 10, 13, 20, 16
4 + 3 = 7
7 + 3 = 10
26 - 6 = 20
Similarly,
20 - 6 = 14
16 + 3 = 19
49) 3, 8, 10, 15, 17, 22, 24
In this the number are added alternatively with 5 and 2
3 + 5 = 8
8 + 2 = 10
Similarly,
24 + 5 = 29
29 + 2 = 31
50) 17, 14, 14, 11, 11, 8, 8
In this first subtraction of three and then repeat and again subtract three
17 - 3 = 14
14, 14 - 3 = 11
Similarly,
8 - 3 = 5
5, 5
51) 13, 29, 15, 26, 17, 23, 19
In this the alternative number are adding by 2 and subtracting by 3
13 + 2= 15
29 - 3= 26
Similarly,
23 - 3= 20
19 + 2= 21
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A construction company charges $15 per hour for debris removal, plus a one-time fee for the use of a trash dumpster. The total fee for 9 hours of service is $195
The trash dumpster fee was 60 dollars.
if angle ab is a right triangle then ab is perpendicular to bc
Answer:
it should be a 90-degree angle or right triangle
Step-by-step explanation:
1. Find the product: 82 •123. Solve using either the partial products or the box method.
G=30 and h=6 and g/5-h
Composition Functions
Composition functions are functions that combine to make a new function. We use the notation ◦ to denote a composition.
f ◦ g is the composition function that has f composed with g. Be aware though, f ◦ g is not
the same as g ◦ f. (This means that composition is not commutative).
f ◦ g ◦ h is the composition that composes f with g with h.
Since when we combine functions in composition to make a new function, sometimes we
define a function to be the composition of two smaller function. For instance,
h = f ◦ g (1)
h is the function that is made from f composed with g.
For regular functions such as, say:
f(x) = 3x
2 + 2x + 1 (2)
What do we end up doing with this function? All we do is plug in various values of x into
the function because that’s what the function accepts as inputs. So we would have different
outputs for each input:
f(−2) = 3(−2)2 + 2(−2) + 1 = 12 − 4 + 1 = 9 (3)
f(0) = 3(0)2 + 2(0) + 1 = 1 (4)
f(2) = 3(2)2 + 2(2) + 1 = 12 + 4 + 1 = 17 (5)
When composing functions we do the same thing but instead of plugging in numbers we are
plugging in whole functions. For example let’s look at the following problems below:
Examples
• Find (f ◦ g)(x) for f and g below.
f(x) = 3x + 4 (6)
g(x) = x
2 +
1
x
(7)
When composing functions we always read from right to left. So, first, we will plug x
into g (which is already done) and then g into f. What this means, is that wherever we
see an x in f we will plug in g. That is, g acts as our new variable and we have f(g(x)).
Brooklyn line‘s upright retanglar prisms like the one shown. She aligns each prism behind the previous prism to make a larger prism. The larger prism has a surface area of 1288 and squared. How many prisms does Brooklyn align? Show your work
Answer:
if there are 12 cubes, there must be 3 rows of 4 since its a prism. 1288 square root is 35. something
Step-by-step explanation:
Express each number in scientific notation.
1) 0.0056
3) 4,085
5) 0.000796
Standard and Scientific Notations
50,413
11
11
2) 24,010
4) 0.017
6) 952
8) 0.004
Answer:
Express each number in scientific notation.
1) 0.0056 = 5.6 × 10^-3
3) 4,085 = 4.085 × 10³
5) 0.000796 = 7.96 × 10^-4
Standard and Scientific Notations
50,413 = 5.0413 × 10^4
11 = 1.1 × 10^1
11 = 1.1 × 10^1
2) 24,010 = 2.401 × 10^4
4) 0.017 = 1.7 × 10^-2
6) 952 = 9.52 × 10^2
8) 0.004 = 4 × 10^-3
Suppose you have health insurance that is partially funded by the company you work for. They have agreed to pay 85% of your coverage. What percent of your insurance coverage will you be paying? Show your work.
The Solution.
Your company partially funds 85% of the total coverage. That gives
[tex]85\text{ \%}[/tex]The percent of the insurance coverage that will be paid by you is
[tex]100-85=15\text{ \%}[/tex]Thus, the correct answer is 15%.
B A In this figure, AB || CD and m/3 120 What is m/6? D Enter your answer in the box.
Answer
Explanation
AB is parallel to CD and then, there's a transversal that cuts across the two lines. We are given that Angle 3 = 120°
But we ca see from the figure that Angle 3 and Angle 2 lie on the same straight line.
And we know that the sum of angle on a straight line is 180°.
Hence,
(Angle 3) + (Angle 2) = 180°
120° + Angle 2 = 180°
Angle 2 = 180° - 120°
Angle 2 = 60°
Then again, we can see that AAA
HELP I WOULD LIKE SOME TIPS ON HOW TO SOLVE
Answer:
Slope: 1/4
Step-by-step explanation:
The slope formula is rise/run.
Find the two points at which the line crosses.
Hope this helps :)
Tips: To find the slope, you can find the change in y over the change in x. Pick any two points on the line, for example: (0,3) and (4,4). To find the change in y, take the y value of one ordered pair and subtract it from the other. Then take this value and divide it by the difference of the corresponding x values.
ex:
4-3/4-0
slope: 1/4
You can also count the “rise” over “run” from (0,3). You can see that you move up 1 unit and right 4 units to get to (4,4), meaning the slope is 1/4 (rise 1, run 4)
1. 2x+8=15 2. 35=3x+14 3. 2x+7+2x=19
Answer:
2x+8=15
2x=15-8
2x=7
divide both sides by the coefficient of x
x=7/2
x=3.5
PLEASE HELP I NEED THIS FOR A TEST AND BIG GRADE!!!!!!!!!!!!!!!!!!!!!!!!!!! ASAP!!!!!!!!!!
The statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches). If we tested for outliers using the 1.5 IQR rule, what would be the upper fence?
Min = 39 Q1 = 43 Median = 45 Q3 = 48 Max = 56
Upper fence of the statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches) is 115.5.
Define upper fence.The Upper Fence serves as the "upper limit" of the data, and any data that lies outside these restrictions is likely to be an anomaly. Q3 + 1.5 IQR, where Q3 is your third quartile and IQR is your interquartile range, can be used to compute the upper fence. An outlier is any value in your dataset that is higher than the upper fence.
Given Data
Min = 39
Q1 = 43
Median(IQR) = 45
Q3 = 48
Max = 56
Upper fence = Q₃ + (1.5(1QR)
Upper fence = 48 + 1.5(45)
Upper fence = 48 + 67.5
Upper fence = 115.5
Upper fence of the statistics below provide a summary of the distribution of heights of 200 randomly selected elementary students from across Pennsylvania (in inches) is 115.5.
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30. pls anwser need to turn it in asap by midnight
The equation of the line can be written as, y = 9x/4 - 53/4.
Given :
9x -4y = 7 points given : (5, -2)
Writing the equation in the standard form of y=mx+b, we get:
4y = 9x -7
y = (9x/4) - (7/4)
Thus, the slope of the given line is the coefficient of x which is equal to 9/4.
Let the equation of the line parallel to the given line be y=m1x+b1
Here m1 = 9/4
y = (9x/4) +b1
The line passes through (5,-2), hence the point satisfies the equation. Replacing the x and y coordinates with 5 and -2 respectively,
-2 = 45/4 + b1
-b1 = 45/4 +2
-b1 = 53/4
b1 = -53/4
Hence the equation of the line can be written as,
y = 9x/4 - 53/4.
What is slope intercept form?The slope-intercept form of a line is one of the most common forms used to represent the equation of a line. The slope-intercept formula can be used to find the equation of a line given the slope of the line and the y-intercept (the y-coordinate of the point where the line intersects the y-axis). The equation of a line is an equation that is satisfied by each point on that line. There are several methods to find this equation of a line given as
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Suppose the probability of event A is P(A) = 7/10. What is the probability of event Anot happening P(A')? (You can give your answer as a fraction, decimal or percent)P(A') = ?
Solution
Given the probability of event A happening is P(A) = 7/10
the probability of event A not happening P(A') = 1 - 7/10 = 3/10
The answer is 3/10
you can drive around a NASCAR speedway 40 times for $10 how many times can you go around the track for eight dollars?
Three points determine △ABC. The distance between A and B is 16.2 feet. The distance between B and C is 12.9 feet.
What is the range for the distance between A and C?
The range of the distance from A to C is greater than __
feet and less than __
feet.
The range of the distance from A to C is greater than 3.3 feet and less than 29.1 feet. That is, 3.3 feet < AC < 29.1 feet
Range of the distance between two points on a triangleFrom the question, we are to determine the range of the distance between A and C
From one of the properties of a triangle, we have that the length of a side of a triangle is greater than the positive difference between the two other sides and is lesser than the sum of the two other sides of the triangle.
That is,
If AB, BC, and AC are the sides of a triangle,
Then,
AB > |BC - AC|
and
AB < BC + AC
From the given information,
AB = 16.2 feet
BC = 12.9 feet
∴ AC > 16.2 feet - 12.9 feet
AC > 3.3 feet; OR 3.3 feet < AC
and
AC < 16.2 feet + 12.9 feet
AC < 29.1 feet
Thus,
3.3 feet < AC < 29.1 feet
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