Answer:
-1
Step-by-step explanation:
To solve this word problem, we need to convert it into an equation. Let's first dissect the problem:
"The sum of six times a number and 1" -- since "sum" means addition, and "6 times" means 6 multiplied by some number, we can write this as: 6x + 1, where x stands for the unknown number
"is equal to five times the number" -- since "equals" means "=" and five times the number means 5x, where x stands for that same unknown number, we can write as: = 5x
Put it all together and we have
6x + 1 = 5x
Now we can solve our equation.
First, we need to get all of the like terms on each side of the equal sign. To do this, we will first subtract 1 from both sides:
6x + 1 - 1 = 5x - 1, which gives us 6x = 5x - 1
Next, we will subtract 5x from both sides:
6x - 5x = 5x - 5x - 1, giving us x = -1
-1 is the number
hope this helps
Answer:
x=-1
Step-by-step explanation:
6 x + 1 = 5 x
6 x - 5 x + 1 = 5 x - 5x
x +1 =0
x+1-1=-1
x=-1
Erika paid a self-employment tax last year. She calculated the self-employment tax for different amounts of net earnings and recorded them in the table shown. Self-Employment Tax Net Earnings, x Self-Employment Tax, y $0 $0 $15,000 $2,295 $30,000 $4,590 $45,000 $6,885 Which function describes the relationship between x, the amount of net earnings, and y, the self-employment tax?
a y=15/2295x
b y=153/1000x
c y=1000/153x
d y=2295/15x
Answer:The answer is B
Step-by-step explanation:
because i did the same test and got 100 A+
how much is 1/2÷8×57÷13+15
Answer:
Use the BODMAS method and at the end work the fraction left by adding it to 15
My answer was 15.274
Three friends ate lunch at a restaurant. Their friend Reggie arrived late and only ordered a glass of juice. The total bill was $39.50 before taxes. Reggie paid $2 for his juice, and the others divided the remaining amount equally. How much did each of Reggie's three friends pay?
The temperature went from 84 degrees F to 66 degrees F. Find the percent change.
Answer:
-21.43%
Step-by-step explanation:
intial valu: 84
final value: 66
so this means it will eaqual-21.43% :) just remeber that the difference if 84 and 66 is -18 :) hope this helps!!!!!!!
What is the distance if each path in miles?
how to integrate [tex]e^{2s} *Cos \frac{s}{4}[/tex] , please help, I have no idea what to do, I would appreciate if you show your work with steps.
Answer:
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
Step-by-step explanation:
Step(i):-
Given that [tex]f(s) = e^{2s} cos\frac{s}{4}[/tex]
Now integrating
[tex]\int\limits {f(s)} \, ds = \int\limits {e^{2s} cos\frac{s}{4} ds[/tex]
By using integration formula
[tex]\int\limits { e^{ax} cos b x dx = \frac{e^{ax} }{a^{2}+b^{2} } ( a cos b x + b sin b x )[/tex]
Step(ii):-
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] = [tex]\frac{e^{2s} }{(2)^{2}+(\frac{1}{4}) ^{2} } ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]
= [tex]\frac{e^{2s} }{(4+\frac{1}{16})} ( 2 cos (\frac{1}{4} ) s + \frac{1}{4} sin \frac{1}{4} s ))[/tex]
= [tex]\frac{e^{2s} }{(\frac{65}{16} } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]
= [tex]16 X\frac{e^{2s} }{65 } ( \frac{8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s}{4} ))[/tex]
=[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
Final answer:-
[tex]\int\limits {e^{2s} cos\frac{s}{4} ds[/tex] =[tex]\frac{4 e^{2s} }{65 } ({8 cos (\frac{1}{4} ) s + sin \frac{1}{4} s} ))[/tex]
Napoleon went on a bus trip traveling at a speed of 55 miles per hour for 4 hours which equation will help you find the distance he traveled
Answer:
220
Step-by-step explanation:
Easy!
Multiply 55 by 4!
2
55
x 4
--------
220
five times 4 is 20, so put 0 then regroup the 2. Then, 5 times 4 again, but add two!
pls help math!!!!!!!!!!!!
Answer:
A) 1000/1 = x/2500 is the answer
Help please What is the domain of the function
Answer: the first one
Step-by-step explanation:
please simplify- e⁵×e⁴
Answer:
e3x
Step-by-step explanation:
PMI (Private Mortgage Insurance) protects the lender in case the borrower cannot make the loan payments. It is often required when the amount of the loan is close to the value of the home. PMI typically annually costs about .75% of the entire loan. On a $100,000 loan what would you be paying per month?
Answer:
$62.50
Step-by-step explanation:
The amount of private mortgage insurance required in this case per annum is 0.75% of the entire loan which is $100,000.
Annual insurance=0.75%*loan amount
Annual insurance=0.75%*$100,000
Annual insurance=$750
Since the annual cost of mortgage insurance per year is established, monthly cost would be annual cost divided by 12 months is which is number of months in a year that payments are to be made
monthly payment=$750/12
monthly payment=$62.50
Answer:
A
Step-by-step explanation:
What is the constant of proportionality of y=9x so what does k=
8. There were 512 people at the Talent Show,
Admission was $1.25 for adults and 50
for children. The receipts were $406.75.
How many of each attended?
Answer:
7.9 of each
Step-by-step explanation:
Solve for the variable: a-9=-5
I'm sorry. Looks like I couldn't keep my promise." Tatsumi
"I suppose it is time to die. Tatsumi, I wish that you had been beside me." Esdeath
"Well, well... I said this about the emperor, too, but dealing with fools is tiring.
Answer:
Can you please write a question
Step-by-step explanation:
Answer:
can you write a question and also can i pls get a brainliest it'll make my day a whole lot better bc i have had a terrible day today :/ have a blessed day :)
Step-by-step explanation:
HELP MIDDLE SCHOOL QUESTION
Answer: 1.977
Step-by-step explanation:
Answer:
1.977
Step-by-step explanation:
Please help me i need it
Answer:
x+4x=5x
5x+x=6x
6x+8x=14x.
Solve the inequality.
9p ≥ −72
Answer:
yes
Step-by-step explanation:
because of math,
Step-by-step explanation:
[tex] p\geqslant - 8[/tex]
We have a bilateral triangle with base length 2 and sidelengths x where x is increasing at a rate
of 5 units per minute.
Find the rate of change of the side angle teta when x=2.
Answer:
[tex]\frac{5\sqrt{3} }{6}[/tex]
Step-by-step explanation:
Given :
base length = 2
side lengths = x
dx/dt = 5 unit/min
Determine d∅ / dt at x = 2
d∅ / dt at x = 2 = [tex]\frac{5\sqrt{3} }{6}[/tex]
attached below is a detailed solution
Slope of -1 through point (3,-1)
Answer:
Step-by-step explanation:
Y axis of y
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Answer:
You can use the division sign.
Step-by-step explanation:
48÷{2×[(6×5)-(9×3)]} =
48÷{2×[(30)-(27)]} =
48÷{2×[3]} =
48÷{6} =
8
PLZ HELP REALLY FAST!!
Answer:
I think its A
Step-by-step explanation:
because A shows decreasing and half which is 2.
1 and 1/2 divided by 4 and 2/8
1 ÷ 4 = 0.25
1 ÷ 2/8 = 4
1/2 ÷ 4 = 1/8
1/2 ÷ 2/8 = 2
Your friend Fred claims that his average gym workouttime is at least 150 minutes per day. You pick a randomsample of 10 days and observe that on the days in thesample, Fred’s average workout time was 136 minutes.The standard deviation of workout times in the samplewas 28 minutes. You plan to use the sample results to testFred’s claim. Assume that Fred’s workout times are normally distributed.
Required:
Set up an appropriate hypothesis test to test Fred's claim. Use a significance level of 5%. Should Fred's claim be rejected? Explain.
Answer:
Step-by-step explanation:
Given that:
population mean = 150
Sample size = 10
Sample mean = 136
Standard deviation = 28
Significance level = 0.05
The null hypothesis:
[tex]H_o : \mu \ge 150[/tex]
The alternative hypothesis
[tex]H_a : \mu < 150[/tex]
This is a left-tailed test.
The t-test statistics can be computed as:
[tex]t = \dfrac{\overline x - \mu}{ \dfrac {s} {\sqrt{n}} }[/tex]
[tex]t = \dfrac{136 - 150}{ \dfrac {28} {\sqrt{150}} }[/tex]
t = -1.58
The P-value = P(t < -1.58)
Using the t tables
P-value = 0.0743
Decision rule: To reject the null hypothesis if the P-value is lesser than the level of significance.
Conclusion: We fail to reject the null hypothesis; since P-value is greater than (∝). Thus, there is sufficient evidence to support Fred's Claim.
No, we can not reject Fred's claim.
Find the indicated side of the triangle
Answer:
If you're trying to figure out what x would be, I'm pretty sure the answer is 6 because it's equal with the other side labeled 6 and there are 2 45° angles
Step-by-step explanation:
Sorry if this isn't the answer you're looking for :/
In ΔDEF, d = 36 inches, e = 97 inches and ∠F=166°. Find the length of f, to the nearest inch.
Answer is 11.9ft.
Law of cosines:
In trigonometry, the Cosine Rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.
[tex]c^{2} = a^{2} + b^{2} - 2ab cos(C)[/tex]
Since we have two side lengths and an angle, we can use the Law of Cosines to find the length of the final side.
In this case we can write the law of cosines as,
[tex]f^{2} = d^{2} + e^{2} - 2(de)cos(F)[/tex]
f2 = 5.22 + 6.82 - 2(5.2)(6.8)cos(166)
f2 = 27.04 + 46.24 - 66.56 cos (166)
f2 = 73.28 - 66.56 cos 166
f = √(73.28 - 66.56 cos 166) ≈ 11.9 ft.
f ≈ 11.9 ft.
Learn more about law of cosines here:
https://brainly.com/question/24077856?referrer=searchResults
#SPJ2
Answer:
132
Step-by-step explanation:
S.A.S.→Law of Cosines
From reference sheet
[tex]a^2=b^2+c^2-2bc[/tex] cos A
plug in values
[tex]f^2=36^2+97^2-2(36)(97)cos 166[/tex]
square and find cosine
[tex]f^2=1296+9409-2(36)(97)(-09.70296)[/tex]
Multiply
[tex]f^2=1296+9409+6776.54535[/tex]
Add
[tex]f^2=17481.54535[/tex]
Square root and round
[tex]f=\sqrt{17481.54535}[/tex]≈132.218≈132
Pablo shares 525 cupcakes in the ratio of 3 : 4 between his bakery and a supermarket.
How many cupcakes does the supermarket get?
The total population of Aiken County is 173,000 and there are approximately 23,000 students enrolled in Aiken County schools. What percentage of Aiken County residents are enrolled in Aiken County schools? Round your answer to the nearest tenth.
Answer:
Percentage = 13%
Step-by-step explanation:
Given the following data;
Total population = 173,000
Number of students = 23,000
To find the percentage;
[tex] Percentage = \frac {Number \; of \; students}{Total \; population} * 100 [/tex]
[tex] Percentage = \frac {23,000}{173,000} * 100 [/tex]
[tex] Percentage = \frac {23}{173} * 100 [/tex]
[tex] Percentage = 0.1330 * 100 [/tex]
Percentage = 13.3 ≈ 13%
Therefore, the percentage of Aiken County residents that are enrolled in Aiken County schools is 13%.
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
Tripp decided to go on vacation to the beach. After driving 60% of the way, he decided to stop for lunch. If he stopped for lunch after 240 miles of driving, how many total miles will he have to drive? Explain and/or show equation.
Answer:
40=10% im rightthe total is 400
Step-by-step explanation: