The difference of two integers is 1. The product of the integers is 30. What
are the integers?
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Let us take ,
First integer be x .Second integer be y .Also let us consider x > y .
According to first Condition :-
⇒ x - y = 1.
⇒ x = y + 1. .............(i)
According to second Condition :-
⇒ x × y = 30 .
⇒ ( y + 1 )y = 30 . [ From (i) ]
⇒ y² + y = 30.
⇒ y² + y - 30 = 0 .
⇒ y² + 6y - 5y -30 = 0.
⇒ y ( y + 6 ) -5 ( y + 6 ) = 0 .
⇒ ( y + 6 ) ( y - 5 ) = 0 .
[tex]\red{\bf \longmapsto y = 5 , (-6)}[/tex]
Here y can sustain both values 5 and minus 6 as y is an integer.
So , x = -6 , 5 .
Hence possible answers are ,
[tex]\boxed{\purple{\bf x = -6 , y = -5 }}[/tex]
[tex]\qquad\qquad\qquad \bf Or [/tex]
[tex]\boxed{\purple{\bf x = 6 , y = 5 }}[/tex]
.
Need answers to this geometry assignment similarity and similarity transformations
Answer:
the awnser is c then pust reset and it will give you the awnser
3x - 4 < 8 and 2x+ 2 > 4
20 points crq
Answer:
x<4 and x>1
Step-by-step explanation:
1) 3x-4<8
Add 4 to both sides first to isolate x.
3x-4<8
+4 +4
3x<12
Divide both sides by 3.
3x<12
/3 /3
x<4
2) 2x+2>4
Subtract both sides by 2 to isolate x.
2x+2>4
-2 -2
2x>2
Divide both sides by 2.
2x>2
/2 /2
x>1
Hope this helped!! Have an amazing day :3
ASAP Mr. Morris used the greatest common factor and the distributive property to rewrite the sum 45 + 27. What did he write? please show your work YOU CAN GET BRAINLIEST
Answer: its 3( 15+9 ) or 9( 5+3 ) go with your gut im srry if im wrong
Step-by-step explanation:
Daichi wo fumishimete
Kimi wa mezameteiku
What is is 7(-5v - 8)
I need help and I don’t know what to do! What is 6x+y=17?
Answer:
6×+y-17=0 it is the correct answer and hope this help for you
Presbycusis is the gradual hearing loss that occurs as a person ages. An estimated one-quarter of Americans between the ages of 65 and 75 and three-quarters of those older than 75 have some degree of hearing loss.
An audiologist is interested in the efficacy of three different types of hearing aids. He gathers three groups of hearing-impaired clients: One group receives analog hearing aids, which convert sound waves into amplified electrical signals. The second group receives digital hearing aids, which use directional microphones to control the flow of sound and convert the sound waves into numerical codes before amplifying them. The third group receives cochlear implants. The results come in, and a statistician conducts an analysis of variance.
The _____________ is that there is no difference between the population means (in other words, there is no treatment effect).
The ____________ is that at least one of the population means is different from another (in other words, there is an effect of at least one of the treatments).
Answer:
The answer is the "Null hypothesis and Alternative hypothesis".
Step-by-step explanation:
The null hypothesis is almost like a hypothesis test, which indicates the certain demographic characteristics which aren't varied.
The alternative presumption will be that the hypothesis besides making predictions is opposite to the void assumption. Its posts are generally taken as a result of a meaningful effect.
Difference:
The null hypothesis is indeed a gross generalization, which specifies there is no relation between different phenomenons under evaluation. There is no association between the two groups. An alternate solution hypothesis is a statement, that defines there is a relation between different chosen variables in this study.
someone please help!!!!!!!!!
Answer:41+108+17=166
And 8×5/6×17=680/30
Step-by-step explanation:I might be wrong bit Hope its right and it helps ;)
Divide: 814 by 3.7
To make 3.7 a whole number, multiply by
.
If 3.7 becomes 37, then 814 becomes
.
The quotient is
.
Answer:
here!!! I hope this helps you all :))
The quotient of the divided numbers is:
220
What are whole numbers?
Whole numbers is a set of numbers which consists of positive integers and zero. Fractions are not represented as whole numbers.
For ex: [0,1,2,3,4,5,6,7,8,9....] is a set of numbers without any negative number and fraction.
Given:
Divide 814 ÷ 3.7
Hence, we need to multiply a number to 3.7 in order to make it a whole number.
Step 1:
So multiply and divide by number 10
814 × 10 ÷3.7 × 10 = 37
Now we got the number 37 and 814 becomes 8140
Step 2:
We divide both the changed numbers:
8140 ÷ 37
Hence we get the quotient as 220
Learn more about "whole number divisions" here-brainly.com/question/407943
#SPJ2
Dexter rode his bike 2 kilometers. Then, he walked 955 meters more to go fishing. How many total meters did Dexter travel to go fishing?
Answer:
The Answer is 2955.
Step-by-step explanation:
First convert 2 km to meters. 1 km = 1,000 meters. So, 2 km = 2x1,000. Dexter walked 955 meters. We can add to find out how far he traveled all together. 2,000+955=2,955 meters. Dexter traveled a total of 2,955 meters to fishing.
Answer:
2955
Step-by-step explanation:
Alex is making a candy that contains 75% white chocolate and the rest peppermint sticks. The candy has 3 pounds
of peppermint sticks.
Part A: Write an equation using one variable that can be used to find the total number of pounds of white
chocolate and peppermint sticks in the candy. Define the variable used in the equation. (5 points)
Part B: How many pounds of white chocolate are present in the candy? Show your work. (5 points)
Answer:
163
Step-by-step explanation:
The GCF of 14 and a number is 7. Which of the following could be the number?
A 49
B 42
C 56
Answer:
A 49
Step-by-step explanation:
Any odd number that has 7 as a factor will be a candidate. Of the choices listed, the only possibility is ...
49
__
If the number is even and has 7 as a factor, then it will be a multiple of 14. That is, the GCF will not be 7, but will be 14. Hence, the number must be an odd multiple of 7.
What is the greatest whole number that rounds to 2,800 when rounded to the nearest hundred? The least whole number?
Answer:
The greatest is 2,799
The lowest is 2,750
Step-by-step explanation:
Answer: The greatest whole number: 2799
The least whole number: 2750
Step-by-step explanation: I just went by the rule five or more round-up.
What is 70% of 9? (Change 70% to.70 and multiply by 9)
Answer:
6.3
Step-by-step explanation:
Answer:
W = 6.3
Step-by-step explanation:
Is means equals and of means multiply
W = 70% *9
W = .70*9
W = 6.3
5. Mrs. Correa bought a box of 72 pencils and kept 30 of them for herself. She gave the rest to her 6 children so that each had the same number of pencils. Which expression could be used to find the number of pencils each child received? *
Answer:
(72-30)/6 = 7 is the equation
72-30=42
42/6=7
Step-by-step explanation:
Good luck! <3
Answer:
(72-30) divided by 6
Step-by-step explanation:
You subtract 30 from 72 because Ms.Correa is going to keep them. Then you divide that by 6 of her children to get your answer. 72-30=42, 42/6 = 7
what are the coordinants of the turning point
i cant find the answer to 2 1/4 times 1/6?.. can someone help a kid out
Answer:
0.375 or 3/8
Step-by-step explanation:
calculator :)
Write a multiplication expression using the following clues:
1. One factor is a two digit number between 1 and 10
2. One factor is a two digit number between 1 and 10 (different from the first)
3. The product is greater than 8, but less than 10
Rectangle ABCD has a perimeter represented by the expression 9x + 3. Rectangle PQRS has a
perimeter represented by the expression 6x + 2. Write the expression that represents the
difference in the perimeters of Rectangle ABCD and Rectangle PQRS. Write the steps and
solution.
Answer:
D. [tex] 3x + 1 [/tex]
Step-by-step explanation:
Perimeter of Rectangle ABCD = [tex] 9x + 3 [/tex]
Perimeter of Rectangle PQRS = [tex] 6x + 2 [/tex]
Difference between perimeter of Rectangle ABCD and Perimeter of Rectangle PQRS:
[tex] (9x + 3) - (6x + 2) [/tex]
Open Parentheses
[tex] 9x + 3 - 6x - 2 [/tex]
Collect like terms
[tex] 9x - 6x + 3 - 2 [/tex]
[tex] 3x + 1 [/tex]
5
X Х please find the answer
20
Answer:
2 or 4
Step-by-step explanation:
Since I do not quite understand what you mean by X X, I could think of two answers. If you are doing 5 times X=20, then X = 4, but if you are trying to do 5 times x times x, then x=2.
12x + 7 < -11
OR
5.2 – 8 > 40
Answer:
x < - 3/2 or x > 48/5 (option a in your list of answers)
Step-by-step explanation:
We solve for x in each inequality:
12 x + 7 < -11
subtract 7 from both sides:
12 x < - 11 - 7
12 x < -18
divide both sides by 12 to isolate "x" on the left:
x < - 18 / 12
simplify a common factor 6 in numerator and denominator on the right:
x < - 3 / 2
Now the other inequality:
5 x - 8 > 40
add 8 to both sides:
5 x > 40 + 8
5 x > 48
divide both sides by 5:
x > 48 / 5
So the answer is:
x < - 3/2 or x > 48/5
which coincides with answer a) in your list.
Human hair has an average diameter of about 0.000017 meters. Write this measurement in scientific notation
Answer:1.7 x 10 ^ -5
Step-by-step explanation:
Answer:1.7 x 10-5
hope this helps
Three high school participated in a study to evaluate the effectiveness of a new computer-based mathematics curriculum. Four 24-student sections of freshman algebra were available for the study. The two types of instruction (standard curriculum, computer-based curriculum) were randomly assigned to the four sections in each of the three schools. At the end of the term, a standard mathematics achievement test was given to each of the 24 students in each section.
a. Is this study experimental, observational, or mixed experimental and observational? Why?
b. Identify important factors, factor levels, and/or factor-level combinations.
c. Classify these factors as within- or between-subjects
d. what’s the dependent measures?
e. What is the basic experiment unit of study?
Answer:
A) experimental
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) score of the test
E) student
Step-by-step explanation:
A) The study is experimental because of the random assignment of two different types of instruction to the students which will control/affect the technique of teaching without just observing the performance of the students from the side
B) The important factors are : Type of instruction, scores and High schools,
The factor levels are :
Level -1 which comprises of 3 highschool,
Level -2 which comprises of highschool and the highschool has 4 sections and each section has 24 students
Factor level combinations:
Level 1 : computer and standard based combination
C) Within the subject : 24 students
Between subject : High school
D) The dependent measure is the score of the test
E) The basic experiment unit of the study is : student
Find the midpoint M of the line segment joining the points S=(-2,8) and T=(6,-2)
Step-by-step explanation:
[tex] \frac{6 + ( -2)}{2} = 2[/tex]
this is for x
[tex] \frac{ - 2 + 8}{2} = 3[/tex]
this is for y
so it will become (2,3)
Find f(5). f(x) = x2 +2x
Answer:
f(5) = 35
Step-by-step explanation:
In any function f(x), x is the input and f(x) is the output
Example:
f(x) = 2x + 3, find f(a)
That means we need to find value of f(x) at x = a, so substitute x by a
f(a) = 2(a) + 3 = 2a + 3
f(a) = 2a + 3
Let us use the same way to solve our question
∵ f(x) = x² + 2x
→ We need to find f(5), so substitute x by 5
∴ f(5) = (5)² + 2(5)
∴ f(5) = 25 + 10
→ Do addition
∴ f(5) = 35
A recent article in the paper claims that business ethics are at an all-time low. Reporting on a recent sample, the paper claims that 31% of all employees believe their company president possesses low ethical standards. Suppose 20 of a company's employees are randomly and independently sampled and asked if they believe their company president has low ethical standards and their years of experience at the company. Could the probability distribution for the number of years of experience be modelled by a binomial probability distribution?
Answer:
The correct solution is "0.127128".
Step-by-step explanation:
The given values are:
p = 0.31
n = 20
Now,
[tex]p(8<x<12)=p(x=9)+p(x=10)+p(x=11)[/tex]
[tex]=20C_{9}(0.31)^9\times (0.69)^{11}+20C_{10}(0.31)^{10}\times (0.69)^{10}+20C_{11}\times (0.31)^{11}\times (0.69)^{9}[/tex]
[tex]=0.074955+0.037043+0.015130[/tex]
[tex]=0.127128[/tex]
f(x) = x + 7, g(x) = x - 7
(a) (f + g)(x) =
(b) (f-g)(x)=
(c) (fg)(x)=
(d) (f/g)(x)=
a) 2x
b) 14
c) x^2 -49
d) -1
On Monday, your bank account balance was −$12.90. Because you didn't realize this, you wrote a check for $30.39 for groceries.
Answer:
$17.49
Step-by-step explanation: You need to subtract $30.39 by $12.90
$30.39
-$12.90
First, its 9 - 0 which will = 9.
Then, 3 - 9. but you can do that so you have to make the 3 in 30, into a 2 then make the 0 in 30 a ten, then make that 10 into a 9, then make the 3 into 13.
So 13 - 9 = 4.
Now you have 9 - 2. Which will = 7.
Last, its 2 - 1 which will = 1.
so after all of that you get: $17.49
Answer:
Step-by-step explanation:
To find the balance, take the old balance and subtract the amount spent on groceries. next u have to minues -12.90 from 30.39 =17.49
If you take -3/10 of a number and add 1, you get 10. Let x represent the original number. A. Write an equation that represents the situation. B. What is the original number
Answer:
A. -(3/10)x + 1 = 10
B. x = -30
Step-by-step explanation:
A. first, we know that we are multiplying a number (x) by -3/10 because that's the fraction of the number we are taking. Then, we add one to that number. After doing so, we are told that we get 10. Thus, -(3/10)x + 1 = 10
B. in solving this, first we subtract 1 from both sides, to get
-(3/10)x = 9
then, we divide both sides by -3/10 to get
x = -30
Changing Scales in Scale Drawings- (question in picture attachment)
i dont get it
Step-by-step explanation: