Answer:
the equation will be 2(6x+10+4x+1)
simplified to
12x+20+8x+2
simplified to
20x+22
The perimeter of the rectangle will be 20x+22
Thank you, Hope it helps
Answer: The length of both sides would be 12x+20 and the width of both sides would be 8x+2, so the perimeter of the rectangle would be 20x+22
If h(x) = (f o g)(x) and h(x) = sqrt(x+5), find g(x) if f(x) = sqrt(x+2)
Answer:
g(x) = x + 3Step-by-step explanation:
Givenh(x) = (f ο g)(x)h(x) = [tex]\sqrt{x+5}[/tex]f(x) = [tex]\sqrt{x+2}[/tex]To findg(x)SolutionWe know that:
(f ο g)(x) = f(g(x))Substitute x with g(x) and solve for g(x):
[tex]\sqrt{x+5}[/tex] = [tex]\sqrt{g(x)+2}[/tex]x + 5 = g(x) + 2x + 3 = g(x)g(x) = x + 3Use the Distributive Property to simplify the expression.
9(3+c+ 4) =
Answer:
9c4+27 is what I got from solving
Answer:
9(7+c)
I hope it's correct sorry if I'm wrong :(
A pack of gum is in the shape of a rectangular prism with a length of 5 centimeters and width of 2 centimeters. The volume of the gum is 60 cubic centimeters. What is the height of the pack of gum? The height of the pack of gum is cm.
I need this fast!! Sam scores 4 goals per game. What is the rate unit of this rate?
A. games
B. goals per game
C. 4
D. goals
Answer:
B: goals per game
Step-by-step explanation:
She will atleast score 4 goals per game
(8x) 2/3 radical form
joseph saves 30% of his allowace each week. if he saves 24$ in 5 weeks. how much allowance does joseph recieve in each week
Answer:
$24/5 weeks = $4.80 saved per week.
$4.80 is 30% of what number?.....
4.8=0.3*X....... 4.8/0.3=X ........X=16
So, Joseph receives $16 per week.
Step-by-step explanation:
6x + 7b - 7x + 10x
What is the answer to this question?
Answer:7b+9x
Step-by-step explanation:hope I helped
Is it point s,w,v, or R PLEase HELP
On Monday, snow fell at a rate of 2.8 inches per hour.
Write an equation to show the relationship between the number of hours, h, and Monday's total snowfall, s.
Answer:
s = 2.8h
Step-by-step explanation:
Answer:
s = 2.8h
Step-by-step explanation:
2.8 inches of snow : 1 hour
Total snowfall = 2.8 × number of hours
2.8 × h = s
2.8h = s
If 1700 square centimeters of material is available to make a box with a square base and an open top, find the largest possible volume of the box.
Answer:
[tex]V = 6746.30cm^3[/tex]
Step-by-step explanation:
Given
[tex]Surface\ Area = 1700cm^2[/tex]
Required
Determine the largest possible volume
Represent the dimension with:
[tex]Height = h[/tex]
[tex]Sides = x[/tex]
Surface Area with an open top is:
[tex]Surface\ Area = x^2+ 4hx[/tex]
Substitute 1700 for Surface Area
[tex]1700 = x^2+ 4hx[/tex]
Make h the subject
[tex]4hx = 1700 - x^2[/tex]
[tex]h = \frac{1700 - x^2}{4x}[/tex]
The volume (V) is calculated as:
[tex]V = x^2h[/tex]
Substitute value for h in [tex]V = x^2h[/tex]
[tex]V = x^2*\frac{1700 - x^2}{4x}[/tex]
[tex]V = x*\frac{1700 - x^2}{4}[/tex]
[tex]V = \frac{1700x - x^3}{4}[/tex]
[tex]V = \frac{1700x}{4} - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{x^3}{4}[/tex]
[tex]V = 425x - \frac{1}{4}x^3[/tex]
Differentiate and equate to 0, afterwards
[tex]V' =425 - \frac{3}{4}x^2[/tex]
[tex]425 - \frac{3}{4}x^2 = 0[/tex]
[tex]\frac{3}{4}x^2 = 425[/tex]
Solve for [tex]x^2[/tex]
[tex]x^2 = 425 * \frac{4}{3}[/tex]
[tex]x^2 = 566.67[/tex]
Take the square root of both sides
[tex]x = \sqrt{566.67[/tex]
[tex]x = 23.80[/tex]
Substitute 23.80 for x in [tex]h = \frac{1700 - x^2}{4x}[/tex]
[tex]h = \frac{1700 - 23.80^2}{4*23.80}[/tex]
[tex]h = \frac{1133.56}{95.20}[/tex]
[tex]h = 11.91[/tex]
So, the largest possible volume is:
[tex]V = x^2h[/tex]
[tex]V = 23.80^2 * 11.91[/tex]
[tex]V = 6746.30cm^3[/tex]
Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?
Answer:
2 hours
Suzy would earn $40
Bill will earn $40
they will both earn $80
Step-by-step explanation:
The total amount suzy earns is a function of the total hours worked. Let t represent time
total income of suzy = $20t eqn 1
Bill's income = starting bonus + variable pay
= $20 + $10t
We are looking for when they would earn the same amount :
20t = $20 + $10t eqn 2
collect like terms and solve for t
10t = $20
t = 2 hours
Substitute for t in either eqn 1 or 2
20(2) = $40
Suzy would earn $40
Bill will earn $40
they will both earn $80
123.7 cm= How many meters?
123.7 cm = 1.237 meters
hope it helps.
You made a profit of $65,000. You would like to invest the $65,000 into an account that pays you an annual compounded interest rate of 5.5%. You want to make annual withdrawals over the next 10 years such that by the end of this 10 year period, the amount remaining in the account will be zero dollars. Determine, from the given information, the amount of the annual withdrawals. please Round your answer to the nearest cent.
Answer:
d. $8,623.40
Step-by-step explanation:
EDGE 2021
which figure could be the result of dilation the trapezoid with a scale factor between 0 and 1
Answer:
1
Step-by-step explanation:
what is the mean median mode range of 3,14,7,12,4,9,16,4,8,20
First, order the number set from least to greatest:
3 , 4 , 4 , 7 , 8 , 9 , 12 , 14 , 16 , 20
Mean: You find the mean by combining all the terms, and dividing by the amount of the terms there are in the number set:
(3 + 4 + 4 + 7 + 8 + 9 + 12 + 14 + 16 + 20)/10
(97)/10 = 9.7
Mean: 9.7
Median: You find the median by first ordering the number set from least to greatest, and finding the middle number. Note that if there is a even number of numbers in the set, you find the mean with the two given median digits:
8 & 9 are the median numbers:
(8 + 9)/2 = (17)/2 = 8.5
Median: 8.5
Mode: The mode is the number(s) in the set that shows up the most:
Mode: 4 (shows up one more time than all other numbers)
Range: The range can be found by subtracting the least number from the greatest number in the number set:
Range: 20 - 3 = 17
Range: 17
~
Find the missing values in the ratio table. Then write the equivalent ratios. (pls help me fill out the rest!)
Step-by-step explanation:
[tex] \frac{6}{2} = \frac{3}{1 } = \frac{12}{4} = \frac{15}{5} \\ [/tex]
6. Which is the solution to the system of equations
Answer:
Lets solve using elimination method
(x+y=-7)*-2
3x+2y=-17
-2x-2y=14
+
3x+2y=-17
x=-3
so lets substitute now
-3+y=-7
y=-7+3
y=-4
answer = (-3,-4)
mark me brainliest
HOPE IT HELPS :)
(-4,-4), (1,3)
Find the distance and slope between each pair of points.
Geometry boy yo please help
Answer:
x=12
Step-by-step explanation:
ab=dc so 15=x+3 you subtract 3 from both sides... x=12
True or False: (2,3) is a solution for both of the following equations:
y=2x+1 and y-3x=4
2.
The rate of change is constant in the graph. Find the rate of change. Explain what the rate of change means for the situation.
A. –3; value drops $3 every year.
B. –1; value drops $1 every year.
C. [tex]-\frac{100}{3}[/tex]; value drops $100 every 3 years.
D. –100; value drops $100 every year.
Answer:
you take 2 points on the graph
(3,300) and (6,200)
and then you do y2 -y1
x2-x1
you plug in the values
200-300
6-3 = -(100)/(3)
every 3 years the resale of a refrigerator decreases by 100 dollars.
its basically the rate that the price goes down for resale value of a refrigerator
Step-by-step explanation:
Let's take the points displayed on this graph:
(300, 3) (200, 6) and (100, 9).
Our first value in the points represents the amount of money for the resale value of a refrigerator, and the second value represents the number of years after the original purchase. So, as we can see, as the years increase, the value goes down $100 dollars every three years.
3 years after original purchase: $300
Increase years by three, value goes down by $100
6 years after original purchase: $200
The rate of change in this situation means that for every resale three years after the original purchase, the value will decrease by $100.
a car with an initial value of $23,00 is decreasing in value at a rate of 8% each year. Write a function, f(x), that expresses the value of the car in x years
Step-by-step explanation:
We would apply the formula for exponential decay which is expressed as
A = P(1 - r/n)^ nt
Where
A represents the value after t years.
n represents the period for which the decrease in value is calculated
t represents the number of years.
P represents the value population.
r represents rate of decrease.
From the information given,
P = 23000
r = 8% = 8/100 = 0.08
n = 1
Therefore, the exponential decay function described in this situation is
A = 23000(1 - 0.08/n)1)^ 1 × t
A = 23000(0.92)^t
If A = 15000, then
15000 = 23000(0.92)^t
0.92^t = 15000/23000 = 0.6522
Taking log of both sides to base 10
Log 0.92^t = log 0.6522
tlog 0.92 = log 0.6522
- 0.036t = - 0.1856
t = - 0.1856/- 0.036
t = 5 years to the nearest year
Subtract. Write your answer as a fraction in simplest form. 3/8−(−1/8)=
Answer:
1/2
Step-by-step explanation:
3/8 + 1/8=
4/8=
1/2
Determine if the triangles are congruent. If they are, state why.
Darunt by SA
ITS DUE AT 5PM PLEASE I NEED TO GET IT DONE WAY BEFORE. HELP!!
21x+9 =
Help please
Answer:
3
Step-by-step explanation:
cross multiply
sales of 10 000 increase by 65 each year
Answer:
Whats the question
Step-by-step explanation:
also if you are looking for the unit rate its 153.846...
or if you are looking for how many in 2 years then 650,000
Hope this helps
Have a nice day :)
8= -9 + u
solve for u
Answer:
The answer is 17
Step-by-step explanation:
First, add 9 to 8
17 = u
Answer:
u=17
Step-by-step explanation:
8=-9+u
-u=-9-8
-u=-17
u=-17
1. Use a ratio box to solve this problem. Tammy saved nickels and
pennies in a jar. The ratio of nickels to pennies was 2 to 5. If there were
70 nickels in the jar, how many coins were there in all?
Answer:
245
Step-by-step explanation:
let 'c' = total coins
2/7 = 70/c
2c = 490
c = 245
Of a total of 6,000.00, part was invested at a simple interest rate of 8% and part at 7% if the total interest income for one year was $46.00, how many was invested at 7%
Answer: Ok so first 0.05(6000 - x) + 0.07x = 372
300 - 0.05x + 0.07x = 372
300 + 0.02x = 372
0.02x = 72
x = 3600
He invested $3600 at 7% and $2400 at 5%.
Hope this helps have a bless day❤️Step-by-step explanation:
Answer:
Step-by-step explanation:
I think you had a typo where interest should be 460 not 46 because even if the whole 6000 were invested at 7% he would have earned $420 in interest. Also if total investment was switched from 6000 to 600 the 46 in interest would work.
.07x+.08(6000-x)=460
.07x-.08x+480=460
-.01x+480=460
-.01x=-20
x=$2000
which is easy enough to check
2000(.07)+4000(.08)=$460
10 x 10 +100 – 1000 = X
Answer:-800
Step-by-step explanation: 10 times 10 is 100 plus another 100 is 200-1000 is -800 which is x
Answer:
-800
Step-by-step explanation:
since you need to mutiply first,
10 x 10 + 100 - 1000 = X
100 + 100 - 1000 = X
200 - 1000 = X
-800 = X
hope it helps!!!