Answers
Related Questions
A positive integer is 4 less than another. If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer, then the result is −67. Find all pairs of integers that satisfy this condition.
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Answer:
(0.0147, 4.0147) and (-4.04, 0.04)
Step-by-step explanation:
Let the smaller number be x
Let the larger number be y
If a positive integer is 4 less than another, then;
x = y - 4 ...1
If 3 times the reciprocal of the smaller integer is subtracted from the reciprocal of the larger integer and result is -67, then;
1/y - 3(1/x) = -67
1/y -3/x = -67 ...2
Substitute 1 into 2
1/y - 3/y-4 = -67
y-4-3y/y(y-4) = -67
-4-2y = -67(y^2-4y)
- 4-2y = -67y^2 +268y
-67y^2 +268y+2y + 4 = 0
-67y^2 +270y + 4 =0
67y^2 -270y - 4 = 0
Factorize
-270±√270² - 4(-4)(67)/2(67)
= -270±√72,900+1072/134
= -270±271.97/134
= -270 -271.97/134 and -270 +271.97/134
= -541.97/134 and 1.97/134
x = 0.0147 and -4.04
y = x+4
y = 0.0147+4
y = 4.0147
If x = -4.04
y = -4.04 + 4
y = 0.04
Hence the pair of values are (0.0147, 4.0147) and (-4.04, 0.04)
25% of 275 is 68.85
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Answer:
Step-by-step explanation:
no its not
its 68.75
evaluate 11P4 and 9C5
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r is between q and s. if rs=47 and qs =83.8 find qr
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3.
Select all the true statements.
A
-6.1 +-7.8 is positive.
B.
-3.2--19) is positive.
C.
12+(-3.5) is negative.
D.
4+-4 is equal to zero.
E.
82 - (-28) is negative.
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Answer:
B & D
Step-by-step explanation:
B & D
What is 21/1 divided by 1/4
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Answer:
84
Step-by-step explanation:
To divide two fractions we turn the second fraction upside down and multiply two fractions
21/1 ÷ 1/4 ➡ 21/1 × 4/1 = 84/1
This can be written as 84
Can someone
Please
Help me
Answers
Answer:
First let's calculate the area of the bottom part
diameter is 34 m
so the radius (r) is 1/2 * 34 m = 17 m
bottom part is 1/2 of a circle
circle surface area formula is πr²
so surface area of our bottom part is 1/2 * πr²
1/2 * πr² = 1/2 * 3,14 * 17² = 453,73
so it's 453,73 m²
Triangle part consists of 2 smaller rectangular triangles
surface area for rectangular triangle is 1/2 * a * h
in our case a = r = 17 m and h = 30m
so one smaller rectangular triangle is 1/2 * r * h = 1/2 * 17 * 30 = 255
so it's 255 m²
and because our entire triangle part consists of 2 smaller rectangular triangles it's area is 2 * 255 m² = 510 m²
Surface area of the entire figure is a sum of 510 m² and 453,73 m²
510 m² + 453,73 m² = 963,73 m²
Courtney is ordering nachos at a restaurant, and the server tells her that she can have up to three toppings: pico de gallo, onions, and steak. Since she cannot decide how many of the toppings she wants, she tells the server to surprise her. If the server randomly chooses which toppings to add, what is the probability that Courtney gets just onions and steak
Answers
Answer:
[tex]Probability = \frac{1}{9}[/tex]
Step-by-step explanation:
Given
Toppings: Pico de gallo, Onions and Steak
Required
The probability of getting Onions and Steak
The probability is calculated using:
[tex]Probability = P(Onion)\ and\ P(Steak)[/tex] --- because the events are independent
[tex]P(Onion) = \frac{n(Onion)}{Total}[/tex]
[tex]P(Onion) = \frac{1}{3}[/tex]
[tex]P(Steak) = \frac{n(Steak)}{Total}[/tex]
[tex]P(Steak) = \frac{1}{3}[/tex]
So, we have:
[tex]Probability = P(Onion)\ and\ P(Steak)[/tex]
[tex]Probability = P(Onion)\ *\ P(Steak)[/tex]
[tex]Probability = \frac{1}{3} * \frac{1}{3}[/tex]
[tex]Probability = \frac{1}{9}[/tex]
3. Find the measure of the angle given.
E
60°
D
F
100
P
30°
80°
120°
50°
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Answer:
80
Step-by-step explanation:
The sum of the opposite inscribed angles is 180
x+100 = 180
X = 80
5(x + 9) = 5x + 45?
What property is this equation?
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Answer:
distributive property
7. A quadratic function has the form y-ax' for
some nonzero value of a and (4, 48) is on the
graph. What is the value of a?
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pls help! a small box measures 5in. by 10 in. By 7 in height. Find the volume of the box
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Answer:
350
Step-by-step explanation:
math, i can give you brainliset just help me with the two questions :)
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Answer:
2. the interquartile range is 20
3. 80 is the median.
Step-by-step explanation:
have a nice day.
An item has a listed price of $30. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
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Answer:
$31.50
Step-by-step explanation:
First find 5 percent of 30 which is 5 divided by 100 multiplied by 30 then add the answer to 30 to get the answer to the question
Qué número es 3 unidades mayor que +5
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Answer:
8
Step-by-step explanation:
5 + 3 = 8
Pls help...................
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For what value of y does 125=(1/25)^(y-1)?
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Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)
Please help will give BRAINLIEST
Answers
Answer:
2nd table
Step-by-step explanation:
I give Brainlest !!!!!!!
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Answer:
40,000
Step-by-step explanation:
Which expression is not equivalent to 2/3 x4
Answers
Answer:
I don't know I need the answer choices
Step-by-step explanation:
In the boxes, provide a value for side a, side b, and angle C. The value of side a should be between 10 and 20. The value of side b should be between 20 and 30. The value of angle C should be between 20 and 70 (degrees).
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Answer:
Step-by-step explanation:
This doesn't really make sense.
All you have to do is pick numbers that fall in between the numbers provided.
like:
a = 11
b = 21
C = 21
There's not really a question . . .
Pls help i will put brainlyist if you don’t answer correctly i will report
Answers
Answer:
23.04
Step-by-step explanation:
length×width
4.8×4.8
correct me if im wrong:)
which statement best explains how Italian society was affected by the Renaissance?
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italian society entered a new era of artistic and academic achievement
Determine the mean, standard deviation, and five number summary of each data set round to the nearest hundredth, if necessary
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I'll do problem 3 to get you started.
---------------------------------------------------------
Part 1) Finding the mean:
The mean is found by adding up all the numbers and dividing by n, where n is the number of items in the set.
We sum the numbers to:
5+8+5+9+6+15+9+3+8+7+10+12 = 97
Then we divide over n = 12
mean = sum/n = 97/12 = 8.083333 approximately
This rounds to 8.08
---------------------------------------------------------
Part 2) Finding the standard deviation:
I'm assuming your teacher is talking about the population standard deviation, as opposed to the sample standard deviation.
First subtract each value from the mean. It helps to make a table as shown in the attachment below.
Column A is the original data set. Column B is when we subtract each data item x from the mean M.
Column C is where we square each item in column B.
Adding up everything in column C leads to 118.916666666667 which is approximate. This value is highlighted in the table diagram. Divide this over n = 12 to get 9.90972222222222 which is also approximate
The last step is to apply the square root to that and we get 3.1479711279
This rounds to 3.15
---------------------------------------------------------
Part 3) Finding the min:
From here on out, we have fairly simple calculations and don't need to involve a spreadsheet or any complicated formulas.
The min value is the smallest value of the set. So that would be 3
---------------------------------------------------------
Part 4) Finding the value of Q1, first quartile:
Sort the items in ascending order, ie from smallest to largest.
You should get this set: {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15}
There are n = 12 items here, so the median is between slot 12/2 = 6 and slot 7. The values in slot 6 and 7 are the two copies of '8'. That must mean the median is (8+8)/2 = 8.
Now break up the set into two equal halves
L = {3, 5, 5, 6, 7, 8} = lower half of six items
U = {8, 9, 9, 10, 12, 15} = upper half of six items
The median of set L is exactly the value of Q1, so that would be (5+6)/2 = 11/2 = 5.5; note how this is exactly between the two middle most values of 5 and 6.
---------------------------------------------------------
Part 5) Finding the median:
We found that earlier in part 4. The median is 8.
---------------------------------------------------------
Part 6) Finding the value of Q3, third quartile:
Focus on set U = {8, 9, 9, 10, 12, 15}, which was the upper set of values, ie values larger or equal to the median.
The middle two values here are the '9' and '10'. The median is at the midpoint of these values: (9+10)/2 = 19/2 = 9.5
We have Q3 = 9.5
---------------------------------------------------------
Part 7) Finding the max:
The max is the largest item in the original set
Refer to the sorted set {3, 5, 5, 6, 7, 8, 8, 9, 9, 10, 12, 15} and we see that 15 is the max.
---------------------------------------------------------
Part 8) Finding the IQR (interquartile range):
Subtract the values of Q3 and Q1 to get the IQR
IQR = Q3 - Q1
IQR = 9.5 - 5.5
IQR = 4
---------------------------------------------------------
Part 9) Finding the range:
The range is a similar idea as the IQR; however, we'll subtract the max and min this time.
Range = max - min = 15 - 3 = 12
The range is 12.
The range, IQR and standard deviation all help us determine the spread of the data. The larger the value gets, the more spread out the data is.
---------------------------------------------------------
Summary:
Mean = 8.08 (approximate)Standard Deviation = 3.15 (approximate)Min = 3Q1 = 5.5Median = 8Q3 = 9.5Max = 15IQR = 4Range = 12Side note: The phrase "five number summary" refers to the five values of: min, Q1, median, Q3, max. All of which are needed to form a box-and-whisker plot.
How many solutions does the nonlinear system of equations graphed below
have?
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Answer:
One. The point at which the parabola and the line intersect.
Howard buys 5 suits a year when he earns $70,000. When his income increases to $200,000, he buys 15 suits a year. Based on this
information, suits are considered to be
a complementary good.
an inferior good.
a neutral good.
a normal good.
a substitute good.
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Answer:
a complementary good
Step-by-step explanation:
Howard spends $70,000 per year on 5 suits. When his income reaches $200,000, he purchases 15 suits per year. Suits are classified as a normal good based on this information.
What is meant by Normal Good?A normal good is one that sees an increase in demand due to an increase in consumer income. In other words, an increase in wages leads to an increase in demand for ordinary goods, whereas a decrease in wages or layoffs leads to a decrease in demand. In economics, an inferior good is one whose demand falls when consumer income rises (or rises when consumer income falls), as opposed to normal goods, which experience the opposite effect. Normal goods are those whose demand increases as consumer income rises. Normal goods are those for which the relationship between consumer income and quantity demanded is positive. In other words, the income effect is positive while the substitution effect is negative.To learn more about normal good, refer to:
https://brainly.com/question/12671549
#SPJ2
your cell phone plan is by the minute. each minute of use cost $0.10. create a relation that represents the amount spent, A, per minute, m, of call time. Then, use the relation to find the amount spent if you talk 65 minutes.
Answers
Answer:
Talking 65 minutes, $ 6.50 must be paid.
Step-by-step explanation:
Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:
0.10 x M = A
0.10 x 65 = A
6.50 = A
Thus, talking 65 minutes, $ 6.50 must be paid.
help i need the answers by tomorrow
Answers
8 inch radius:
area: 200.96
circum: 50.25
12 yd rad:
area: 452.16
circum:75.36
20 ft dia:
area: 314
circum:62.8
36 dia:
area:1017.36
circum: 113.04
allan's car uses 1 liter of fuel to travel 12 km , how much fuel does she need to travel 420km
Answers
Answer:
Allan needs 35 liters to travel 420km
Answer:
The answer should be: 35 liters of fuel
Step-by-step explanation:
150 students were surveyed to see what sport they play what percentage plays soccer
Answers
You need to know how many played soccer.
If the number who played soccer is represented by S;
Then percentage = S/150 x 100