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.
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)
Which rule describes the x-coordinates in the translation below?
Answer:
It's either x-6 or x+6 I wanna say that it is x-6 because they moved the shape down, but it could also have been moved up. I was assuming that the green one was the original, which would make the answer x-6.
Step-by-step explanation:
Answer:he is wiring the answer would be x+6 and the bike is the original because it does not have primes on the numbers
Step-by-step explanation:learn your mad bro
10 points pls answer!
Answer:
a
Step-by-step explanation:
8x-20 and 3x together will equal 90
Answer:
The answer is D
Step-by-step explanation:
150 students were surveyed to see what sport they play what percentage plays soccer
How many solutions does the nonlinear system of equations graphed below
have?
Answer:
One. The point at which the parabola and the line intersect.
help i need the answers by tomorrow
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
3. Find the measure of the angle given.
E
60°
D
F
100
P
30°
80°
120°
50°
Answer:
80
Step-by-step explanation:
The sum of the opposite inscribed angles is 180
x+100 = 180
X = 80
allan's car uses 1 liter of fuel to travel 12 km , how much fuel does she need to travel 420km
Answer:
Allan needs 35 liters to travel 420km
Answer:
The answer should be: 35 liters of fuel
Step-by-step explanation:
pls help! a small box measures 5in. by 10 in. By 7 in height. Find the volume of the box
Answer:
350
Step-by-step explanation:
25% of 275 is 68.85
Answer:
Step-by-step explanation:
no its not
its 68.75
evaluate 11P4 and 9C5
PLEASE HELP ASAP
I have $70 how much do i need to get to $140.34?
Answer:
$70.34
Step-by-step explanation:
Answer:
you need 70.34
An item has a listed price of $30. If the sales tax rate is 5%, how much is the sales tax (in dollars)?
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
Please helppp!! What is the difference between consecutive numbers
and consecutive odd numbers?
Answer: Consecutive numbers are numbers that follow each other such as 1,2,3,4,5...etc. Consecutive odd numbers are odd numbers that follow each other such as 1,3,5,7,11.. etc
Hope it helps :D
Answer:
consecutive odds numbers are two odd integers that follow each other in a sequence and that are 2 units apart. consecutive numbers are numbers that follow each other on order from smallest to largest
40°
50°
Х
x = __ degrees
Step-by-step explanation:
you just do 180 - 90 = 90 degree is x value
Answer:
x should equal 90.
Step-by-step explanation:
x is the sum of those two interior angles. 50 + 40 equals 90.
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).
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 . . .
Find the area of the square in inches2 and enter your answer below. Do not include units in your answer.
Answer:
11.56
Step-by-step explanation:
The area formula is just Length * Height. Since this shape is a square, both the length and height are equivalent to the same thing, 3.4. So, all we have to do is multiply 3.4 * 3.4, or we can do 3.4^2.
5(x + 9) = 5x + 45?
What property is this equation?
Answer:
distributive property
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.
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
Pls help...................
A triangle has side lengths of 10,11,15. What type of triangle is it?
Answer: ACUTE triangle!
Step-by-step explanation:
Please help will give BRAINLIEST
Answer:
2nd table
Step-by-step explanation:
I give Brainlest !!!!!!!
Answer:
40,000
Step-by-step explanation:
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
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]
r is between q and s. if rs=47 and qs =83.8 find qr
Ronald is calculating the density of oranges in a crate. He knows the number of oranges in the crate and the volume of the crate. Which of the following formulas can be used to calculate the density of oranges in the crate? (6 points) Density = volume of crate over number of oranges Density = number of oranges over volume of crate Volume of shelf = density over number of oranges Number of books = density over volume of crate
Answer:
B. Density = number of oranges over volume of crateStep-by-step explanation:
The density would be the number of oranges per unit of volume:
Density = number of oranges / volume of crateCorrect choice is B
Density = number of oranges over volume of crate Volume of shelf is right formula
math, i can give you brainliset just help me with the two questions :)
Answer:
2. the interquartile range is 20
3. 80 is the median.
Step-by-step explanation:
have a nice day.
Qué número es 3 unidades mayor que +5
Answer:
8
Step-by-step explanation:
5 + 3 = 8
I don't understand this please help!
For what value of y does 125=(1/25)^(y-1)?
Answer:
y = -1/2 is the answer to 125=(1/25)^(y-1)