Answer:
11 and 12
Step-by-step explanation:
x(x+1)=132
x^2+x=132
x^2+x-132=0
(x-11)(x+12)=0
x = 11 or x = -12
when x=11 ,
x+1=12
11*12=132
Paid the rent for the month,$650
Answer:
whats the question here
Step-by-step explanation:650 rent
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89
Complete question :
Hans is using frequent flier miles to fly to a location 450 miles away, but the airline he is using still charges $15.89 for fees and taxes and $0.17 to redeem each mile. In the equation below, x represents the distance Hans is flying, and y represents the cost of the trip. Y = $0.17x + $15.89. How much did Hans pay for his trip?
Answer:
$92.39
Step-by-step explanation:
Given that:
Total distance = 450 miles
Amount charged for fees and taxes = $15.89
Amount charged ti redeem each mile = $0.17
In the equation:
Y = $0.17x + $15.89
X = distance Hans is flying
Y = cost of trip
Y = $0.17(450) + $15.89
Y = $76.50 + $15.89
Y = $92.39
Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!
The given dimensions of the base of the box are 2 x 3 units.
Let h be the height of the box.
So, the volume of the box = 2 x 3 x h ...(i)
The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.
Assuming the diameter of the baseball is d units.
So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.
[tex]=d^3[/tex] cubic units
So, the volume required to pack 48 baseballs
[tex]= 48 d^3 \cdots(ii)[/tex]
Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.
So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e
The length, [tex]3 = ad\cdots(iii)[/tex]
The width, [tex]2=bd\cdots(iv)[/tex]
The height, [tex]h=cd\cdots(iv)[/tex]
where [tex]a,b[/tex] and [tex]c[/tex] belong to the natural number.
This required volume must be equals to the volume of the box.
From equations (i) and (ii),
[tex]2\times 3\times h=48d^3[/tex]
[from (iii) and (iv)]
[tex]\Rightarrow abhd^2=48d^3[/tex]
[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]
[tex]\Rightarrow h=\frac{48}{ab}d[/tex]
On comparing with the equation (iv)
[tex]c=\frac{48}{ab}\cdots(v)[/tex]
Now, if the diameter of the baseball is unity,i.e, d=1 unit
( integer) and (integer) [from (iii) and (iv)]
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=8 \times 1= 8[/tex] unit.
Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.
Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.
For example, the value of height for d=1 unit has been shown.
and another example may be if units, then (integer) and (integer)
(also an integer) [from (v)]
Now, the height of the box,
[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]
Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.
The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.
yall play copter royale ?
Answer:
i do i am right noww lol
Step-by-step explanation:
1. If point (7.-2) is translated right 10 and down 4. What is the new coordinate for the point?
Answer:
The answer would be (17,-6). It's just add to the original coordinates.
Step-by-step explanation:
PLS HELP ILL MARK YOU BRAINEST DUE IN 20 MINSS
Answer:
well the numbers are 58 60 62 64 and 66
Step-by-step explanation:
it's because when u add these 5 numbers u get 310 hope this helps
Answer: 62
Step-by-step explanation:
Find the inverse of function f. f(x)=9x+7
A. F-1(x)= -9x-7
B.F-1(x)= 1/9x-7/9
C.F-1(x)= 7x+9
D.F-1(x)= 7/9x-1/9
Answer:
B
Step-by-step explanation:
let y = f(x) and rearrange making x the subject, that is
y = 9x + 7 ( subtract 7 from both sides )
y - 7 = 9x ( divide all terms by 9 )
[tex]\frac{1}{9}[/tex] y - [tex]\frac{7}{9}[/tex] = x
Change y back into terms of x with x = [tex]f^{-1}[/tex](x) , thus
[tex]f^{-1}[/tex] (x) = [tex]\frac{1}{9}[/tex] x - [tex]\frac{7}{9}[/tex] → B
In a figure, such as a triangle or parallelogram, this is used to refer to the
length of one side.
Answer:
The hypotenuse is the side opposite the right angle, or defined as the longest side of a right-angled triangle,
Step-by-step explanation:
A share of stocks gained 12 points, then lost 114 points, and then gained 218 points. Find the overall change in its value.
Answer:
The overall change is 116points gained
Step-by-step explanation:
Points gained = 12points
Points lost = 114points
Points gained = 218points
Unknown:
Overall change in its value = ?
Solution:
The overall change = Total points gained - Total points lost
= (218 + 12) - 114
= 116points
The overall change is 116points gained
Answer:
its 116
Step-by-step explanation:
12 - 114
-102 + 218 = 116
Four different towns in the same state grew in size due to a revitalization effort. The population of town A grew from 22,000 to 24,500 in 4 years. The population of town B grew from 31,200 to 34,770 in 6 years. The population of town C grew from 18,000 to 22,000 in 5 years. The population of town D grew from 32,000 to 34,100 in 3 years. Which town had the greatest average change in population over the corresponding time period?(1 point)
Answer:
Town C.
Step-by-step explanation:
Average change of population with time for town A = [tex] \frac{24,500 - 22,000}{4} = \frac{2,500}{4} = 625 [/tex]
Average change of population with time for town B = [tex] \frac{34,770 - 31,200}{6} = \frac{3,570}{6} = 595 [/tex]
Average change of population with time for town C = [tex] \frac{22,000 - 18,000}{5} = \frac{4,000}{5} = 800 [/tex]
Average change of population with time for town D = [tex] \frac{34,100 - 32,000}{3} = \frac{2,100}{3} = 700 [/tex]
Town C had the greatest average change in population over time (800/yr).
Answer:
its c
Step-by-step explanation:
solve for x .
y+2x=5
Answer:
x=-2x+5
Step-by-step explanation:
What is 1/12 of 96? PLEASE HELP I AM TIMED!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
jkl
Step-by-step explanation:
jkl
4y+13x-5+6y-x simplified
Answer:
[tex]12x+10y-5[/tex]
Step-by-step explanation:
[tex]4y+13x-5+6y-x[/tex]
Combine the like terms
[tex]12x+10y-5[/tex]
I NEED ANSWER AND NEED TO SHOW WORK HELP!!!!
Answer:
formula to solve
Step-by-step explanation:
Regular Weekly Pay = Hourly Wage x Hours Worked
Overtime Weekly Pay = Hourly Wage x 1.5 x Overtime Hours
Overtime Hours = The amount of hours worked above-and-beyond 40
hours. If you worked 55 hours in a week, your overtime hours would
be 15.
Total Weekly Pay = Regular Weekly Pay + Overtime Weekly Pay
Total Salary = Weekly Pay x Work Weeks per Year
Example: If you earn $8.35 per hour, work 50 weeks a year, and
average 50 hours/week:
Regular Weekly Pay = 8.35 x 40 = $334
Overtime Weekly Pay = 8.35 x 1.5 x 10 = $125.25
Total Weekly Pay = $334 + $125.25 = $459.25
Total Salary = $459.25 x 50 = $22,962.50
Select three ratios that are equivalent to
16
:
12
16:1216, colon, 12.
Choose 3 answers:
Choose 3 answers:
(Choice A)
A
8
:
6
8:68, colon, 6
(Choice B)
B
32
:
24
32:2432, colon, 24
(Choice C)
C
4
:
3
4:34, colon, 3
(Choice D)
D
12
:
8
12:812, colon, 8
(Choice E)
E
24
:
16
24:16
Answer:
A,B,C
Step-by-step explanation:
When you divide 16 by 12 you get 1.3 repeating. When you divide A , B , C by their numbers you get 1.3 repeating also. But D and E equal 1.5 so that's how you know those to answers are incorrect:)
glad to help!
The equivalent ratio are 8:6, 32:24 and 4:3
What is Ratio?A ratio is a comparison between two amounts that is calculated by dividing one amount by the other. The quotient a/b is referred to as the ratio between a and b if a and b are two values of the same kind and with the same units, such that b is not equal to 0. Ratios are represented by the colon symbol (:). As a result, the ratio a/b has no units and is represented by the notation a: b.
Given:
Ratio = 16 : 12
Simplifying the ratio
= 16/12
= 4/3
So, first 8:6
= 4: 3
and, second 32:24
= 4:3
and, third = 4:3
and, fourth 12 : 8
= 3:2
Hence, the equivalent ratio are 8:6, 32:24 and 4:3
Learn more about ratio here:
https://brainly.com/question/13419413
#SPJ5
What’s is the answer to this problem
Answer:
B.2≤x≤5
Step-by-step explanation:
Answer:
Option B is the correct answer
Step-by-step explanation:
[tex] 2 \leqslant x \leqslant 5[/tex] is the domain of the given problem.
Order the numbers from least to greatest.
6.8
[tex] \sqrt{13} [/tex]
[tex] \frac{26}{3} [/tex]
[tex] \sqrt{ \frac{54}{3} } [/tex]
hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
What’s the greatest common factor of 156 and 260 show your work
Answer:
52
Step-by-step explanation:
156: 22 313
260: 22 513
GCF: 22 13
The Greatest Common Factor (GCF) is: 2 x 2 x 13 = 52
Please answer correctly for brainliest
Answer:
x ≥ 15
Step-by-step explanation:
5x + 3 ≥ 48
Group like terms
5x ≥ 48 – 3
5x ≥ 45
divide both sides by 5
5x/5 ≥ 45/5
x ≥ 15
h e l p
Quinn has a large family. She has 4 cousins who live in Texas, 3 cousins who live in Nebraska, and 9 cousins who live in Michigan.
What is the ratio of Quinn's cousins who live in Texas to her cousins who live in Michigan?
Answer:
4:9 is the ratio
Step-by-step explanation:
4 in Texas and 9 in Michigan
AABC is isosceles.
AB = 3x - 4 and BC = 5x - 10.
AB = [?]
If AB = BC then set up the equation 3x - 4 = 5x - 10
Subtract 3x.
-4 = 2x - 10
Add 10.
6 = 2x
Divide by 2.
3 = x
AB is 3x - 4 so
3(3) - 4
9 - 4
5.
AB = 5
If AB is not equal to BC then this is not solvable.
But if they are I am sure AB = 5.
Hope this helps
7x - 4y = -19
14x - 7y = -28
Can you please help me? I will give brainliest, I appreciate it :) Thanks!
Answer:
I going to say this should be easy because there must be a f(x) in a function so I think the answer is A.
Step-by-step explanation:
I think that functions must have f(x) in the equation.
An eagle takes off from the top of a cliff that is 125 meters high and flies upward. After t seconds, the height at which the eagle is flying is given by the equation h(t) = 125 + 1.25t2 where t is in seconds. Find the instantaneous velocity of the eagle at t = 3 seconds. Round your answer to one decimal place.
Answer:
The instantaneous velocity of the eagle at the given time is 7.5 m/s.
Step-by-step explanation:
Given;
height of the cliff, h = 125 m
the height at which the eagle is flying, h(t) = 125 + 1.25t²
The velocity of the eagle is given by;
v = dh/dt
v = 2.5t
The instantaneous velocity of the eagle at t = 3 seconds is given by;
v = 2.5(3)
v = 7.5 m/s
Theerefore, the instantaneous velocity of the eagle at t = 3 seconds is 7.5 m/s.
5.401×10
−1 as a standard form.
A negative exponent means to move the decimal point to the left the number of the exponent.
10^-1 you would move the decimal 1 place to the left.
5.401 x 10^-1 = 0.5401
[tex]\huge\boxed{0.5401}[/tex]
We have the equation...
[tex]\boxed{5401*10^-^1=(?)}[/tex]
Multiply 5401 by 10⁻¹.
[tex]\boxed{5401*10^-^1=0.5401}[/tex]
Therefore, your final answer is [tex]\boxed{0.5401}[/tex]
1 1/6 ÷ 2 1/3 Multiplying and dividing mixed numbers
Answer:
7/6x3/7===21/42=== 1/2
Step-by-step explanation:
Workers have been down the street installing two blinking red lights in front of the fire station. The two lights are always turned on at the same time. Both lights blink as they are turned on. One lights blinks after every 8 seconds. The other light blinks every 22 seconds. After how many seconds will they blink together again?
Answer:
After 88 seconds, they will blink together.
Step-by-step explanation:
Time after which the first light blinks = 8 seconds
Time after which the second light blinks = 22 seconds
Initially, both the lights blink together.
To find:
The time at which they will blink together again.
Solution:
Let us have a look at the time after which each light will blink.
First light will blink after:
8 s, 16 s, 24 s, 32 s, 40 s, 48 s, 56 s, 64 s, 72 s, 80 s, 88 s, 96 s, 104 s, ......
Second light will blink after:
22 s, 44 s, 66 s, 88 s, 110 s, .....
It can be seen that common time is 88 second, at which the both will blink together.
So, the answer is 88 s.
This answer can also be computed by taking the LCM (Least Common Multiple) of both the numbers i.e. 8 and 22.
Using the factorization method:
[tex]8=\underline{2}\times 2\times 2[/tex]
[tex]22=\underline{2}\times 11[/tex]
Common is 2.
Therefore the LCM will be:
[tex]2\times 2\times2\times 11 = \bold{88}[/tex]
So, the answer is 88 s.
PLEASE HELP I DONT UNDERSTANDDDD I WILL MARK BRAINLY IF CORRECT
In a petri dish, a certain type of bacterium doubles in number every 20
minutes.
There were originally 8, or 23 bacteria in the dish. After 140 minutes, the
number of bacteria has doubled 7 times, multiplying by 27.
Now the population of bacteria is 23.27. Expressed as a power, how many
bacteria are in the petri dish after 140 minutes?
A. 410
Ο Ο
B. 27
O C. 210
O D. 221
Answer:
C. 2^10
Step-by-step explanation:
Law of indices
a^x + a^y = a^(x+y)
2^3 × 2^7
=2^(3+7)
=2^10
Type the missing number in this sequence: 50, 42, 34, 18, 10, 2 what comes after 34?
Answer:
The answer is 26 is after 34.
The pattern is x - 8 = y.
Step-by-step explanation:
Good luck! <3