Answer:
C) 18
Step-by-step explanation:
Let x represent the largest of the five consecutive integers. Then (x -4) is the smallest, and the sum of the five of them is ...
sum = 5((x +(x -4))/2 = 5x -10
That sum is 46 less than 9 times the smallest.
__
This relation can be written as ...
5x -10 = 9(x -4) -46
72 = 4x . . . . . . . . . . . . add 82-5x and simplify
18 = x . . . . . . . . . divide by 4
The largest of the consecutive integers is 18.
_____
Additional comment
Here, we have used the variable to represent what the problem is asking for--the largest of the integers. Often, in consecutive integer problems, it is convenient to let a variable represent the middle (or average) value of the consecutive integers. If we do that here, then sum of the 5 integers would be 5x, and the relation to find x would be ...
5x +46 = 9(x -2)
This resolves to 64=4x ⇒ x=16, so the largest integer is x+2=18. The number of steps is about the same, but the sum is easier to find, and there aren't as many constant terms to play with in solving for x.
Write 640 : 60 in the lowest form
Answer:
32 : 3
Step-by-step explanation:
Answer- 32 : 3
Divide Both Sides By 20
how much money does one person get for working 3 hours and 45 minutes at $6 per hour
$22.50
45/60 = 0.75 in hours
3.75 hours in total
3.75x6=22.5
Hope this helps!
David runs 10 miles in 75 min. At the same rate how many miles would be run in 69 min?
Tory and Emilio's motorboats travel at the same speed. Tory pilots her boat 30 km before docking. Emilio continues for another 2 hr, traveling a total of 80 km before docking. How long did it take Tory to navigate the 30 km?
Answer:
1.2 hours
Step-by-step explanation:
first im going to assume both travel at a constant speed the entire time
both motorboats travel 30 km, so emilio travels another 50 (80-30 = 50) km in 2 hours. speed = distance/time so the speed of the motorboats is 50/2 or 25km/h
divide 30 by 25 to get 1.2hours
20 POINTS AND WILL GIVE BRAINLIEST
Use the function f(x) = 2x2 − 5x + 3 to answer the questions.
Part A: Completely factor f(x). (2 points)
Part B: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part C: Describe the end behavior of the graph of f(x). Explain. (2 points)
Part D: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part B and Part C to draw the graph. (4 points)
Answer:
x=5/7Step-by-step explanation:
=2×2-5x+3 =4-5x+3 5x=4+3 5x=7 divide 5 both side with make value of x x=5/7 is my answer of part A.MARKING BRAINLIEST What is the domain of y=0
Answer:
The answer is all real numbers :)
Step-by-step explanation:
he domain of the expression is all real numbers except where the expression is undefined. In this case, there is no real number that makes the expression undefined. y=0 is a straight line perpendicular to the y-axis at point (0,0) , which means that the range is a set of one value. :)
Have an amazing day!!
Please rate and mark brainliest!!
Pls help me answer this question
And pls write down the steps if needed
Or just explain why
Answer:
c
Step-by-step explanation:
its c because the distances from both the bank and the school are equal distance.
Identify the domain of the following rational expression:
7x/3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.
Answer: D
Step-by-step explanation:
The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:
[tex]3x+15=0[/tex]
[tex]3x=-15[/tex]
[tex]x=-5[/tex]
Every single real 'x' value will work besides when x = -5. Therefore the answer is D
WHICH ONE IS CORRECT?
Two cubes have edge lengths of 9 cm and 3 cm, respectively. What is the difference in volume of the two cubes?
1. 243 cm3
2. 756 cm3
3. 27 cm3
4. 702 cm3
The difference in volume of the two cubes is 702 cm3
Step-by-step explanation :
Given-
Length of edge of one cube = 9 cmLength of edge of second cube = 3 cmNow, The formula for finding volume of any cube is -
[tex] \underline{ \boxed{ \mathfrak \red{volume \: of \: cube = {edge}^{3} }}}[/tex]Therefore, substituting values. . .
Volume of one cube = [tex] {(9)}^{3} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: = 9 \times 9 \times 9[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 729 \: {cm}^{3} [/tex]
Similarly,
Volume of second cube [tex] = {(3)}^{3} [/tex]
[tex] \: \: \: \: \: \: \:\: \: \: \:\: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \:\: \: \: \: \: \: = 3 \times 3 \times 3[/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:\: \: \: \:\: \: = 27 \: {cm}^{3} [/tex]
Now,
Difference in volume of two cubes = Volume of 1st cube - Volume of 2nd cube
[tex] \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \:\: \: \: \: \: \: \: \: \: \: \: \:= (729 - 27) {cm}^{3} [/tex]
[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: = 702 \: {cm}^{3} [/tex]
Thus, the difference in volume of the two cubes comes out 702 cm3
PLEASE HELP
You have$1400, how long would it take to DOUBLE your money in an account that paid 6% interest per year? Round to the nearest year.
Answer:
12 years roughly ends in $2,817.08
Step-by-step explanation:
8 x 3/10 in simplest form
Answer:
Step-by-step explanation:
What is the equation of the line that is parallel to the
given line and passes through the point (-3, 2)?
L Co, P)
O 3x - 4y = -17
0 3x - 4y = -20
O 4x + 3y = -2
O 4x + 3y = -6
Answer:
4x+3y=(-6)
Last option
The bill is $250.79 You want to leave a 20% tip. How much should the tip be
Answer:
50 dollars
Step-by-step explanation:
Answer:
Ive got you! The answer is $50.15
Step-by-step explanation:
I used m##hway and put 20% of 250.79 so this is the answer!
Please help asap! 20 points for helping and show all work
What is 90 percent of 35
Answer:
31.50
Step-by-step explanation:
All you have to do is multiply 35 by 90% or .90
35 x .90 = 31.5
NEED HELP WITH THIS QUESTION!!!
Answer:
15x - 30 is the ansanswer
If Carrey pays for an item that costs $3 with a five-dollar bill, what bills will she receive in change?
Answer: Two $1 Bills
Hope this helps :) If so brainliest would mean alot thanks!
Step-by-step explanation: $5 - $3= $2
Which choice is equivalent to the quotient below?
√36/√4
A. √2/2
B. 3
C. 9
D. √12
Answer:
D?
sorry if i am incorrect.
What is the quotient? X-3 divided by 4x squared + 3x + 2
Answer:
4x+15
Step-by-step explanation:
divisor- x-3
dividend-4x^2+3x+2
to find the quotient,
dividend=(disivor X quotient)+ Reminder
4x^2+3x+2=(x-3 x 4x) + (15x+2)
4x^2 +3x+2= (x-3 x 4x + 15) + (47)
so the quotient would be 4x+15
Find the surface area of the pyramid.
64in^2
56in^2
88in^2
118in^2
Answer:
To find the surface area of this pyramid, we must find the area of one triangle flap which we then multiply by 4 because there are 4 of those equal triangle flaps surrounding the base(square). Once we find the area of those triangles, we then find the base(square)'s area. Next, we add all those areas together to get the result of the surface area.
Formula for area of triangle;
A = BH x 1/2
Where 'B' represents the base, 'H' represents the height, and 1/2 is just dividing the product of those two lengths by 2.
Plug in what you know, given that the base of one triangle is 4, and the height is 6.
A = 4(6) x 1/2
A = 24 x 1/2
A = 24/2
A = 12, the area of one triangle is 12 inches.
Now, we find the area of all the triangles by multiplying the area of one triangle by 4.
12 = Area of triangle
4 triangles in total, so:
12(4)
= 48 inches is the area of all the triangles.
Now we find the area of the base(square) using the formula;
(vol of square formula)
A = [tex]s^{2}[/tex]
Where 's' represents one side of the square which is being squared.
or
A = l · w
Where 'l' represents the length and 'w' represents the width.
Plug in what you know, given that one side of the square is 4 inches (as well as the length and width).
(I'll be using the formula [tex]s^{2}[/tex])
A = [tex]s^{2}[/tex]
A = 4^2 ← (The symbol ' ^ ' means raised to the power of.)
A = 16, the area of the base(square) is 16 inches.
Now we add both areas together:-
48 + 16
= 64 inches^2 is the surface area, your answer is A.
PLEASE HELP ME!
I don’t know what to put on “METHOD” and “EXPLANATION.”
Please help me! :-(
If I can, I will try to give BRAINLIEST!!
Answer:
Substitution
Substitution
Elimination
Elimination
Substitution
Elimination
Explanations are given below
Step-by-step explanation:
Hello!
1) SubstitutionThis is because you already have a solution for a variable, y, and you can simply plug in the value of y for the second equation
2) SubstitutionThe same thing as above, you already have the value of y, and you can simply plug it into the second equation.
3) EliminationYou should use elimination because you can simply eliminate the variable y by adding the two equations, as they have the same coefficient of 3.
4) EliminationSame as above, simply add the two equations to eliminate x, because they have the same coefficients of 7.
5) SubstitutionYou have the value for y, so simply plug it into the other equation to solve for x.
6) EliminationYou have -2x in both equations, and subtracting the equations will eliminate the variable x, and you can then solve for y.
Say that Australia has a working population of 11,565,470 people, and that the average salary is $26.450
annually. How much tax revenue would Australia generate each year by instituting a 31.4% income tax?
a $81,528,467,671
b. $90,224,333,274
c$96.054,697.991
d $209,851,983,509
Answer:The tax revenue Australia would generate each year is $96,054,697,991.
What is the percentage?
The percentage is the value per hundred.
Working population of Australia = 11,565,470 people
Annual average salary = $26,450
Income tax rate = 31.4%
Tax revenue generated by each resident = 26450*(31.4/100)
Tax revenue generated by each resident =$8305.3
So, Tax revenue generated by 11,565,470 residents = 11,565,470*8305.3
Tax revenue generated by 11,565,470 residents = $96,054,697,991
Therefore, the tax revenue Australia would generate each year is $96,054,697,991.
To get more about taxes visit:
brainly.com/question/509359
Step-by-step explanation:
For the functions h(x) = -2x + 4 and g(x) =4-x/2, find:
a. h(g(6))
b. g(h(-4))
c. Does it appear that h and g are inverses of each other? Explain.
NO LINKS!!! Please help me. Part 3
Answer:
ST = 63
HI = 28
IJ = 21
Step-by-step explanation:
Given: RSTUV ~ JFGHI
From inspection of the diagram, the corresponding sides are:
RS~JF
ST~FG
TU~GH
UV~HI
VR~IJ
The only pair of sides that both have side lengths are TU and GH. Therefore, we can use these to figure out the scale factor of dilation.
TU = 72 and GH = 56
⇒ TU/GH = 72/56 = 9/7
Therefore, RSTUV is an enlargement of JFGHI by a scale factor of 9/7
If FG = 49
⇒ ST = 49 × 9/7 = 63
If UV = 36
⇒ HI = 36 ÷ 9/7 = 28
If VR = 27
⇒ IJ = 27 ÷ 9/7 = 21
Answer:
ST = 63, HI = 28, IJ = 21
Step-by-step explanation:
Step 1: Determine the scale
UT = 72 and HG = 56
[tex]72 / 56 = 9/7[/tex]
Step 2: Determine ST
We can determine ST by multipliying GF by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]ST = GF * 9/7[/tex]
[tex]ST = 49 * 9/7[/tex]
[tex]ST = 63[/tex]
Step 3: Determine HI
We can determine ST by dividng VU by 9/7 which will give us the upscaled ratio which will produce ST.
[tex]HI = VU / (9/7)[/tex]
[tex]HI = 36 / (9/7)[/tex]
[tex]HI = 28[/tex]
Step 4: Determine IJ
We can determine IJ by dividng RV by 9/7 which will give us the upscaled ratio which will produce IJ.
[tex]IJ = RV / (9/7)[/tex]
[tex]IJ = 27 / (9/7)[/tex]
[tex]IJ = 21[/tex]
Answer: ST = 63, HI = 28, IJ = 21
POSSIBLE POINTS
There are 160 employees who work for a company. The histogram summarizes the amount of
time each employee has been in his or her current position at the company.
Time at Current Position
45
40
35
30
Number of Employees
25
20
15
10
5
0
0-5
6-11
24-29 30-35
12-17 18-23
Time (months)
The true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
How to interpret the histogram?From the histogram (see attachment), we have the following highlights:
The x-axis represents the number of monthsThe y-axis represents the time spent by the employeesUsing the above highlights, we can see that:
When x = 30 - 35, the value of y is
Hence, the true statement about the histogram is (a) 5 employees have been in their current position for 30 to 35 months
Read more about histograms at:
https://brainly.com/question/9388601
a^3 b^2/a^-1 b^-3 please help!!!!!!!!!!!!!!!!!!!!!!
Answer:
Hope the picture will help you.............
Write the following number in scientific notatic
211.000
4.
Write 211,000 in scientific notation
Answer:
Hope this helped and brainliest please
Step-by-step explanation:
Scientific notation is standard form.
To write a number in standard form, we use the format:
a×10^b
where 1 ≤ a < 10
a would be 2.11 in this question.
As we can see the decimal point has move 5 places to be after 2 so our b value will be 5
Our answer will be :
2.11×10^5
Hope this helped and brainliest please
PLEASE WILL SOMEBODY HELP ME
Answer:
Pic 1: C.
Pic 2: D.
Step-by-step explanation:
1) The sample is the number of things picked out from a population. The amount of people surveyed is the sample, so it the answer choice showing "42 residents" as the sample is among a correct option. Since C is the only one with "42" as the sample, it is the answer.
2) Boosting morale isn't a negative thing, and will ultimately make residents happier. It leans towards "yes."
Adding a machine for enjoyment also leans towards "yes", because people will then have something fun to dsitract themselves with.
Many people will have access to the machine in the lunch room. They can also have a soft drink for lunch, which adds a tasty part to their lunch. It too leans towards "yes."
In a crowded lunchroom, the soft drink machine may be crowded by many people and it could take a while to get one for yourself. It is also vulnerable to breaking from too many people using it at once. It leans towards a "No" response.
Therefore, D is the best answer.
hope this helps!
100 POINTS AND WILL GIVE BRAINLIEST IF IT INCLUDES STEPS
Create and solve a multi-step equation word problem that includes at least THREE STEPS (three or more mathematical operations), that will have a final answer of 12. THE EQUATION MUST INCLUDE A VARIABLE
Zeirah has 3 times more apples than Riya, in total they have 48 apples
consider Riya has x apples
Let the equation be:
3(x) + x = 4 * 124(x) = 48x = 48/4x = 12→ so Riya has 12 apples and Zeirah has [3(12)] = 36 apples
==============
contains the mathematical operations:
division ( / )multiplication ( * )addition ( + )Write the equation in slope-intercept form, and detemine the slope and y-intercept. Write the y- intercept as an ordered pair.
4x+5y=20
The slope is _________ .
The y-intercept is __________ .
The equation written in slope-intercept form is _______ .
Answer:
slope is 4 or 4/1
y-int is 5