Answers
Answer:
x = 12
Step-by-step explanation:
We know that the integers are consecutive. This means that they can be written as:
x, x + 1, and x+2.
First Integer: x
Second Integer: x + 1
Third Integer: x + 2
It is also given that the sum of the first integer and twice the second is 80 minus three times the third.
Write as an equation:
First Integer + 2(Second Integer) = 80 - 3(Third Integer)
Substitute:
x + 2(x+1) = 80 - 3(x+2)
Multiply:
x + 2x + 2 = 80 - 3x - 6
Simplify:
3x + 2 = 74 - 3x
Add 3x to both sides of the equation:
6x + 2 = 74
Subtract 2 from both sides of the equation:
6x = 72
Divide both sides of the equation by 6:
x = 12
Let me know if you have any questions about my explanation!
Answer:
Smallest Integer = 12Step-by-step explanation:
According to question ,
• First Integer → x
• Second Integer → x + 1
• Third Integer → x + 2
Now question says that the sum of the first and twice the second is 80 minus three times the third that means ,
→ x + 2 ( x + 1 ) = 80 - 3 ( x + 2 )
→ x + 2x + 2 = 80 - 3x - 6
→ 3x + 2 = -3x + 74
→ 3x + 3x = 74 - 2
→ 6x = 72
→ x = 72/6
→ x = 12
Hence , value of x is 12 that means :
→ x = First Integer = 12
→ x + 1 = Second Integer = 13
→ x + 2 = Third Integer = 14
In all of these x is the smallest integer and hence 12 is the correct answer .
Related Questions
A warehouse has 10,032 batteries. The warehouse ships the same number of batteries to 12 stores. How many batteries were shipped to each store?
Answers
Answer:
836 batteries were shipped to each store
Step-by-step explanation:
If f(x) = 3x and g(x) = -2x + 7, what is f(g(-2))?
Answers
Answer:
9
Step-by-step explanation:
-2 x -2 + 7 = 3 x 3= 9 I'm pretty sure that's it I did it like a month ago just realized I did it wrong sorry
How do the graphs of the functions differ from the graph of f(x)=3.5x^3?
For each function, select Steeper, Less steep, or Reflected over the x-axis to describe the differences between the graph of the function and the graph of f(x).
Select all answers that are correct.
Answers
Given:
The function is [tex]f(x)=3.5x^3[/tex].
To find:
Whether the given function is Steeper, Less steep, or Reflected over the x-axis to describe the other function.
Solution:
Transformation of function: If f(x) is function and
[tex]g(x)=a\ f(x)[/tex]
Here, a is vertical stretch or compression.
If 0<|a|<1, then g(x) is less steeper than f(x) because f(x) is vertically compressed.
If |a|>1, then g(x) is steeper than f(x) because f(x) is vertically stretched.
If a is negative, the f(x) is reflected over the x-axis, to get g(x).
On comparing the function [tex]p(x)=4.5x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 4.5>3.5 So, it is the case vertical stretched and p(x) is steeper than f(x).
On comparing the function [tex]q(x)=-x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get |-1|=1<3.5 So, it is the case vertical compression and q(x) is less steeper than f(x) and because of negative sign the function is reflected over axis.
On comparing the function [tex]r(x)=3x^3[/tex] with [tex]f(x)=3.5x^3[/tex], we get 3<3.5 So, it is the case vertical compression and r(x) is less steeper than f(x).
Therefore, [tex]p(x)=4.5x^3[/tex] is steeper.
[tex]q(x)=-x^3[/tex] is less steep and reflected over the x-axis.
[tex]r(x)=3x^3[/tex] is less steep.
I need help please help me this math
Answers
How many times greater is the value of the 4 In 42,672 than the value of the 4 in 37,426
Answers
Step-by-step explanation:
it 100 more than the 4 in 37,426
Solve this system of linear equations: 4x - 2y = 8
y = 3/2x - 2
(If you explain simply and correctly, I'll give extra points)
Answers
Answer:
Step-by-step explanation:
Here you go mate
PEDMAS
Parenthesis
Exponents
Division
Multiplication
Addition
Subtraction
Step 1
4x - 2y = 8 ,y = 3/2x - 2 equation/Question
Step 2
4x-2y=8 Substitute
4x-2( 3 /2 x-2)=8
Step 3
x+4=8 simplify
x=4
Step 4
y= 3 /2 x-2 substitute 4 for x
y= 3 /2 (4)-2
Step 5
y= 3 /2 (4)-2 simplify
y=4
answer
x=4
y=4
Which of the following statements is NOT true?
1) A well-designed experiment is the only legitimate way to establish a cause-and-effect relationship between two variables.
2) We can use results from an observational study to test a claim about a population. 3) When an observational study has a large sample and follows people for many years, we can use the results to establish a cause-and-effect relationship between two variables.
4) When many observational studies together meet specific criteria, the results can provide varying degrees of evidence for a cause-and-effect relationship between two variables. But we should be cautious in interpreting such results.
Answers
The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2) is ?
Answers
Given :
A curve : 3x² - 2xy + y² = 11
To Find :
The slope of the line tangent to the curve 3x^2-2xy+y^2=11 at the point (1, -2).
Solution :
Differentiating given curve w.r.t x is :
6x - ( 2y + 2xy' ) + 2yy' = 11
Putting the point ( 1, -2) in above equation, we get :
6 - ( 2(-2) + 2y' ) - 4y' = 11
6 - ( -4 + 2y' ) - 4y' = 11
10 - 6y' = 11
6y' = -1
[tex]y' =\dfrac{-1}{6}[/tex]
Therefore, the slope of the line tangent to the given point is [tex]y' =\dfrac{-1}{6}[/tex] .
Answer:
5/3
Step-by-step explanation:
The previous explanation was incorrect because they forgot to differentiate the other side of the equation (11), which would actually become 0, and make the answer 5/3
Veronica's Violin Village sold 400 violins in the month of July. In the month of August they decreased
their sales by 84 violins. By what percent did they decrease their monthly sales of violins from July to
August?
Answers
Answer:
21% is the answer :)
If 5 students play the flute and 7 students play the clarinet, what is the ratio of clarinet players to fluteplayers?
Answers
Answer:
5:7
hope it helps........
Will give brainliest to first right answer. Before a sale an items price was $28.00 then after being discounted the price was $14.60. What was the discount for the item?
Answers
Answer:
25 percent off. I think, tell me if i am wrong.
Parallelogram PQRS is rotated 90° clockwise about the origin to create parallelogram P'QʻR'S'. Which rule describes this transformation? (Please leave a small explanation)
Answers
therefore your answer is H. If you need a little more explaining comment:))
Of 290 students in school,20%wear glasses. Is 75,95,58, or 119 a reasonable estimate for the number of students wearing glasses
Answers
Answer: 58
Step-by-step explanation: can't really explain, but I promise that's right
Answer:
58 is a reasonable estimate for the number of students wearing glasses.
Step-by-step explanation:
20% of 290 ( or 290*0.2) is equal to 58.
Therefore, the answer is 58.
I hope this helps!
Help me I’ll mark you brainly!
Answers
−
1
−
6
x
2
−
1
6
x
4
Answer:
- 6x² -x⁴/6 -1 because 6x² is co effectient
Crew owes his mom $23 and James owes his mom $8. Which amount has the greatest magnitude?
Answers
Crew because 23>8 23 is larger than 8
Magnitude=A great size, or extent of something
What is the circumference of this circle
Answers
Answer: 12.56 km
Step-by-step explanation:
C=2(3.14)r
C=2(3.14)2
C=12.56
The angle of elevation of the top of the building at a distance of 50 m from its
foot on a horizontal plane is found to be 60 degree. Find the height of the
building. *
86.6 m
50 m
60 m
50.3 m
Answers
Answer:
this is so easy
see answer
answer from india
mark me as brainlist
Factor completely (x2 +x -6)(2x2 + 4x)
Answers
Answer:(x - 2) (x + 3) ⋅ 2x (x + 2)
Step-by-step explanation: factor the polynomial
Calculate the length of x.
Answers
Answer:
B
Step-by-step explanation:
Use the pythagorean theorem to find the hypotenuse. You can do this by squaring 12 and 11 (separately) and then adding those together. You'll get 265. However, since this is c squared and not c, you have to find the square root for the correct answer. The square root of 265 is approximately 16.28. Hope this helps!
5-37. Richard's strategy for changing a percent to a decimal is to put the decimal point in front of the percent
number. An example of his work is shown at right. Do you agree with Richard's method? Explain your reasoning.
8%=0.8
80%=0.80
800%=0.800
Answers
9514 1404 393
Answer:
no
Step-by-step explanation:
The percent symbol (%) is a shorthand way to write "divided by 100" (/100). The percent can be changed to a decimal by making that substitution.
8% = 8/100 = 0.08
80% = 80/100 = 0.80
800% = 800/100 = 8.00
Effectively, the change to a decimal is made by moving the decimal point two places to the left. Richard's strategy only works if the percentage has 2 digits left of its decimal point. It does not work in the general case.
A jewelry store marks up the price of bracelets they purchase at $30.00 each by 75%. What is the markup and new price of each bracelet?
Answers
30x2=60
30/4=7.5
7.5x3=22.5
22.50+30= 52.50
Imagine that each of these 40 students then made their choices from the list of four personality
types. What proportion of the 40 students needs to match correctly to provide convincing
evidence that there is a connection between sign and personality type? Explain your reasoning.
Answers
To make a profit a clothing store sells board shorts at on trade and 115% of the amount they paid for them. How much did the store pay for the board shorts shown? Give me work and I'll mark you brainlest and 15 points.
Answers
Answer: $24.34
Step-by-step explanation:
28/X=115/100
Part/Whole= %/100
28=1.15*x
4.Erik works 42 hours a week making $11 hour? His employer pays time and a half for hours over 40. Find his gross pay.
Answers
Answer:
$473.00
Step-by-step explanation:
Regular pay = 11*40 = 440.00
Overtime = (11*1.5)*2 = 33.00
Gross = 440 + 33 = 473.00
I want to know the exact height of the big column
Answers
Answer:
Height of the red bar is 8m
Pls help me I’m failing math
Answers
Answer: See explanation
Step-by-step explanation:
The best deal would be either I or III. Either would result in a discount of 25% which is better than the other which is 20%
[5y]^4 when y= 2 Evaluate the expression
Answers
Answer:
10000
Step-by-step explanation:
Well substitute it
(5*2)^4
now follow order of operations (Parenthesis, exponents, multipication-division left to right, etc.)
5*2=10
10^4=10000
so the answer would be
10000 if y is 2
Answer:
10,000
Step-by-step explanation:
First, let's do the brackets (because of PEMDAS). We know that y = 2, so we multiply 2 and 5 to get 10. Now, we have to solve 10^4. To get 10^4, multiply 10 by itself four times. That gets us 10,000.
Find the coordinates of point B
Answers
Answer:
uhm where is the chart??
Answer: square root 2 over 2
Step-by-step explanation: edg BS algebra2b
Triangle ABC has A(-3,6),B(2,1), and C(9,5) what the length of side AB? What the length BC what the length AC and what ABC
Answers
Answer:
AB = 5√2
AC = √145
BC = √65
Step-by-step explanation:
Using the formula for calculating the distance between two points
D = √(x2-x1)²+(y2-y1)²
For AB A(-3,6),B(2,1),
AB = √(2+3)²+(1-6)²
AB = √(5)²+(-5)²
AB = √25+25
AB = √50
AB = 5√2
For AC A(-3,6) and C(9,5)
AC = √(9+3)²+(5-6)²
AC = √(12)²+(-1)²
AC = √144+1
AC = √145
For BC B(2,1), and C(9,5)
BC = √(9-2)²+(5-1)²
BC = √(7)²+(4)²
BC = √49+16
BC = √65
Since All the sides are difference, hence triangle ABC is a scalene triangle
Another algebra question 8 POINTS
Answers
(5x +2) + (4x -5)
Remove the parenthesis:
5x + 2 + 4x -5
Now combine the like terms:
5x + 4x = 9x
2 - 5 = -3
Put the two terms back together to get: 9x-3