Step-by-step explanation:
ABCD : EFGH = 4 : 3
Therefore AD : EH is also 4 : 3.
We are given that EH = 60,
Hence AD : (60) = 4 : 3, AD = 80. (D)
Answer:
80
Step-by-step explanation:
Translate the follow expression (use x as variable)
13 more than one-third of x
Answer:
1/3x + 13
Step-by-step explanation:
one-third of x is 1 divided by 3 times x. 13 more means plus 13.
Hannah says that 1/8
is not on this number line and cannot be plotted. Write an note to Hannah about her misunderstanding.
Answer:This number line represents all number. Although 1
8
is not labeled, it still exists on the number line and can be plotted. 1
8
is located halfway between 0 and 1
4
hope this help!
On a surface you have 200,000 bacteria
You use Clorox, which kills 99.9% of germs
How many germs are left? (MATH QUESTION)
Answer:
200
Step-by-step explanation:
Our swimming pool is 3 times as long as it is wide. If the perimeter of our pool is 48 feet, what is its width and length? Let w=width.
Answer:
width= 4 ft
length= 12 ft
Step-by-step explanation:
? x 3= ?
4 x 3= 12
12 x 4= 48
Jessica's annual salary decreased by 3800, which was a 9% decrease. what was Jessica's original salary?
Answer:
Step-by-step explanation:
x = original salary
$3800 = (1-9%)x = (1-0.09)x = 0.91x
x = $3800/0.91 = $4175.82
The original annual salary of Jessica is 42222
Let the original annual salary of Jessica be represented by x.
Percentage decrease in salary = 9%
Amount of the decrease = 3800
Therefore, based on the information given, the equation to solve the question will be:
9% × x = 3800
0.09 × x = 3800
0.09x = 3800
Divide both side by 0.09
0.09x/0.09 = 3800/0.09
x = 42222
Therefore, the original annual salary of Jessica is 42222.
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Please help! No one literally ever answers me so please I'm begging ya'll!
Write the coordinates of the vertices after a translation 1 unit left and 7 units down.
R(-8, 2) → R′( , )
S(1, 2) → S′( , )
T(-7, 9) → T′( , )
Answer:
Simply subtract 1 from each x value and subtract 7 from each y value
Step-by-step explanation:
R'=(-9,-5)
s'=(0,-5)
T'=(-8,2)
If a woman making $37,000 a year receives a cost-of-living increase of 2.4%, what will her new salary be?
Answer: $37,888
Step-by-step explanation:
2.4% of 37,000 is 888.
37,000 + 888 = 37,888.
=$37,888
Her new salary will be $37,888.
What is cost-of-living?
“Cost of living” exists as the amount of money you require to sustain a certain lifestyle in a disseminated place. Because the price of goods and services differs from one city to the next, calculating the cost of living will determine how reasonable it exists to live in a certain area.
increased cost of living would be :
2.4% of 37,000 = 2.4/100 X 37,000 = 888
therefore, new salary would be :
37,000 + 888 = 37,888.
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A certain radioactive material is known to decay at a rate proportional to the amount present. If initially there is 50 mg/L of the material present and after 2 hours it is observed that the material has lost 10 percent of its original concentration, find (a) an expression for the concentration of the material remaining at any time.
Answer:
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Step-by-step explanation:
A certain radioactive material is known to decay at a rate proportional to the amount present.
This means that the situation can be described by the following differential equation:
[tex]\frac{dQ}{dt} = -rQ[/tex]
In which r is the decay rate.
Solving the differential equation by separation of variables, we have that:
[tex]\frac{dQ}{Q} = -r dt[/tex]
Integrating both sides:
[tex]\ln{Q} = -rt + K[/tex]
In which K is the integrative constant.
Applying the exponential to both sides, to remove the ln, we get:
[tex]Q(t) = Ke^{-rt}[/tex]
In which K is the initial amount present.
Initially there is 50 mg/L
This means that [tex]K = 50[/tex].
After 2 hours it is observed that the material has lost 10 percent of its original concentration
This means that [tex]Q(2) = 0.9K[/tex]. So
[tex]0.9K = Ke^{-2r}[/tex]
[tex]e^{-2r} = 0.9[/tex]
[tex]\ln{e^{-2r}} = \ln{0.9}[/tex]
[tex]-2r = \ln{0.9}[/tex]
[tex]r = -\frac{\ln{0.9}}{2}[/tex]
[tex]r = 0.0527[/tex]
So
[tex]Q(t) = Ke^{-rt}[/tex]
[tex]Q(t) = 50e^{-0.0527t}[/tex]
Refer to the following formula for expected payoff:
Expected payoff= (Probability Of rival matching x Loss from price cut) + (Probability Of rival not matching x Gain from price cut)
Suppose the payoff for each Of four strategic interactions is as follows:
Rival Response
Your Company Action Reduce price Don't Reduce price
Reduce Price Loss=$800 Gain= $50,000
Don't Reduce Price Loss=$6000 No loss or gain
Required:
a. If the probability of rivals matching a price reduction is 98 percent, what is the expected payoff of a price cut?
b. If the probability of rivals reducing price even though you don't is 5 percent, what is the expected payoff Of not reducing price?
b. If the probability of rivals reducing price even though you don't is 5 percent, what is the expected payoff of not reducing price?
c. Based on your answers to (a) and (b), should the firm Cut its price?
Can't determine from the information given
Yes
No
Answer:
Step-by-step explanation:
From the given information:
The price reduction = 98% = 0.98
[tex]Then \ the \ expected \ payoff \ = \[(probability \ of \ matching \ price \ reduction \ * \ size \ of \ loss \ from \ price \ cuts \ ) \ + \ ( \ probability \ o f \ rivals\ not \ matching \ * \ gain \ from \ price \ cuts )][/tex]
where;
P(rival not matching ) = (100 - 98)% = 2%
P(rival not matching ) = 0.02
The expected payoff = [(0.98 * -800) + (0.02*50000)]
The expected payoff = [( -784+ 1000)]
The expected payoff = 216
(b) Probability of rivals reducing price = 5%
= 5/100
= 0.05
∴
Probability of rivals reducing price = 1 - 0.05 = 0.95
The expected payoff = (0.05 * -6000) + (0.95 *0)
The expected payoff = -300 + 0
The expected payoff = -300
(c) Yes.
Based on answers (a) and (b), the firm should cut the price.
Urgent!! Math help!! What’s the answer?
Answer:
Shift cos 0.9272
Gives 21.99 degrees near to 22
Cherylis making candy bags for her friends. She has a bag of candy that has 20 pieces and a bag of candy that has 15 pieces. If she is making candy bags for 5 friends, how many pieces of candy, c, will each friend receive?
Answer:
Each friend will receive 7 candies.
Step-by-step explanation:
Given that:
Number of candies in one bag = 20 pieces
Number of candies in other bag = 15 pieces
Total number of candies = 20 + 15 = 35 pieces
Number of friends = 5
Let,
c be the number of candies each friend will receive.
5c = 35
Dividing both sides by 5
[tex]\frac{5c}{5}=\frac{35}{5}[/tex]
c = 7
Hence,
Each friend will receive 7 candies.
Penelope and Nancy see who can read the fastest to determine who will buy snacks for their sleepover. Penelope gives Nancy a 10 second head start. Nancy goes at 7 words per second and Penelope goes at 9 words per second.
What would the slope intercept equation be to rep. Penelope?
Make an equation, with variables on both sides, that shows how long it would take for them to be tied in their competition.
Answer:
for Penelope: y = 9x - 10
5 seconds they will both have read 35 words
Step-by-step explanation:
for Nancy: y = 7x
to find how long to be tied:
7x = 9x - 10
-2x = -10
x = 5
solve for x The value of x is
Answer: x=13
Step-by-step explanation: All equal sides and angles
All angle equal 13
Andrew withdrew $332.55 from his savings account. He now has at most $529.71. How Much cash did he originally have?
Help me with my math homework please.
Answer:
look around the bottom of the page and if it has something like a brand or company whatever write it down in the search and then write the title of the paper and look for pdfs
An arithmetic series is represented by the equation S24 = 2-6+058. Which of the following is true?
Will name Brainlyest
Answer:C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
Step-by-step explanation:
The given series is .
To find the first term of this series, we substitute k=1 to obtain:
To find the 24th term of the series, we put k=24 to get:
The value of the series is the sum of all the terms in the series.
We can find the value of the series using the formula:
.
In this case, the last term is .
.
.
.
Now let us analyse the options:
A. The value of the series is greater than the value of the 24th number in the series.
False: because 6 is not greater than 6.
B. The value of the series is between the values of the 1st and 24th numbers in the series.
False: because 6 is not between -5.5 and 6
C. The value of the series is equal to the value of the 1st or 24th numbers in the series.
True: In logics, an "or" statement (disjunction) is true if one of the alternatives is true. In this case the sum of the series is equal to the 24th number of the series because 6=6 is true
D. The value of the series is less than the value of the 1st number in the series.
False: because 6 is not less than -5.5
Step-by-step explanation:
equivalent this problem -3(4 – 2g) – 6?
Answer:
-12 + 6g - 6
Step-by-step explanation:
Which mapping is a function?
Answer:
Domain and Range diagram
Kamran Company produces various types of fertilizer. No beginning units in process or finished units were on hand on January 1, 2015, 30,000 finished units were on hand on December 31, 2015 and 95,000 units were sold during the year. There were no units in work in process inventory on December 31, 2015. The material put into production cost Rs. 300,000. 75% were direct material. There was no beginning or ending material inventory. Labor costs were Rs. 350,000, 40% was for indirect labor. Factory overhead costs, other than indirect materials and indirect labors were the following:
Heat, light and power Rs. 115,000
Depreciation 78,000
Factory Taxes 65,000
Repairs and Maintenance 42,000
Selling Expenses were Rs. 80,000 general and administrative expenses were Rs. 50,000.
Calculate Cost of Goods Manufactured.
Answer:
Cost of Goods Manufactured 900,000
Step-by-step explanation:
Kamran Company
Cost of Goods Manufactured.
Total Materials Used Rs 300,000
Direct Materials = 75% of Rs 300,000= Rs 225,000
Direct Labor= 60% of 350,000= Rs 210,000
Prime Cost = 435,000
Factory Overhead
Indirect Materials = 75,000
Indirect Labor = 90,000
Heat, light and power Rs. 115,000
Depreciation 78,000
Factory Taxes 65,000
Repairs and Maintenance 42,000
Cost of Good Available for Manufacture : 900,000
Add opening WIP --- Nil
Less Closing WIP ---Nil
Cost of Goods Manufactured 900,000
Selling Expenses were Rs. 80,000 general and administrative expenses were Rs. 50,000 are used in making Profit & Loss or the income statement.
Beginning and Ending Finished Goods are used in the Cost of Goods Sold Statement.
What is the value of x
9514 1404 393
Answer:
x = 10
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relation ...
Sin = Opposite/Hypotenuse
sin(30°) = 5/x
Solving for x, we get ...
x = 5/sin(30) = 5/0.5
x = 10
_____
It can be helpful to remember that the side ratios in a 30°-60°-90° triangle are ...
1 : √3 : 2
That is, the hypotenuse is 2 times the length of the side opposite the 30° angle. Here, that means x = 2×5 = 10, as we found above.
Given Rectangle RECT. If angle REA= (2y+7) degrees and angle CEA = (3y-2) degrees, determine each of the following:
a) the value of y
b) the measure of angle RTA
Answer:
a) y=17
b) m<RTA=49°
Step-by-step explanation:
3y-2+2y+7=90
5y+5=90
5y=85
y=17
m<RTA = m<CEA = 3(17)-2=49
Tell me the least integer in the pair down below
1) -3 or +5
Please do this quick and tell me why is that the answer for extra points. Please help me due in 5 minutes please do it correct with steps or telling me how u got the answer Pleaseeeee do this quick
Answer:
The smallest integer in the pair is -3
Step-by-step explanation:
One way to figure this out is by looking at if it is positive or negative. In this case, -3 has a negative sign, so it is smaller
Therefore, it is -3
Hope this helps :)
Nathan walked 6 miles in 2 hours, If he walks at a steady rate how many miles could he walk in 9 hours
Answer:
Step-by-step explanation:
if Nathan walks 6 miles in 2 hours
6/2=3 miles/ hour
in 9 hours
9*3=27 miles
Answer:
The answer is 27 miles.
Step-by-step explanation:
Because Nathan walked 6 miles in 2 hours. So if u multiply 9 by 3 it will be 27. Now you must be confused that where did 3 come from? Well, if u add 6+2 (four times) and then add 3, your answer will be 27.
In an easy explanation
6+6+6+6+3 =27.
Hope this helps you!
What is 2/3 divided by 1/6
Answer:
the answer is 4!
Hope it helps
help me in math pls :(
Answer:
V = 36
Step-by-step explanation:
Given
V = a(b - 5)² ← substitute a = 4, b = 8
V = 4(8 - 5)² = 4(3)² = 4 × 9 = 36
23
The equation y = 2x2 - 6x - 80 models the
elevation of a hiking trail in Death Valley. In
this model, x is the distance, in miles, from a
certain starting point, and y is the elevation, in
feet, of the trail compared to sea level.
What should be done first to simplify 16 ÷ 8 • 4 ÷ 8 • 2 HELP!!!!!
divide 4 ÷ 8
multiply 8 • 4
divide 16 ÷ 8
multiply 8 • 2
find the mean of the first six multiples of 4
Answer: 14.
Step-by-step explanation:
3/4 + 2/8 =
I need help
Answer:
1
Step-by-step explanation:
3/4 + 2/8 =
First you need to find a common denominator, and in this case, it can be 4
2/8 = 1/4 ( i divided the numerator and denominator by 2)
3/4 + 1/4 = 4/4 = 1
Check
4/4 - 3/4 = 1/4
4/4 - 1/4 = 3/4
Correct!
Hope this helped!
Have a supercalifragilisticexpialidocious day!
-5x – y = 8 and 5x – 3y = -16 solve by elimination
please help show work don't care if right just some what similar i already have the answer just need work
Step-by-step explanation:
-5x and 5x get eliminated.
-y=8
-3y=-16
-4y=-8
y=2