Answer:
You add 5 each time so we just need to multiple 5 by 40 since we alredy have the first three terms.
40*5=200
21+200=221
Hope This Helps!!!
Please helpppp quick
The automobile drove 50 mph and had gone 200 miles when the airplane set out in pursuit. It took 4 hours to overtake the car. What was the speed of the airplane?
100 mph per hour
Step-by-step explanation:
solution
speed of auto mobile=50mph
distance already traveled when the airplane took out in pursuit=200miles
time taken to overtake the car=4 hours
Now,
let the speed of airplane be X
X=50×4+200
or,X=200+200
or,X=400
or, X=400÷4
Therefore, X=100
the number obtained on rationalizing the denominator of 1/(√7--2) is
[tex] \frac{1}{ \sqrt{7} -(- 2)} \\ rationalizing \: \: \: the \: \: \: denominator \: \: \: we \: \: \: have \\ = \frac{1}{ \sqrt{7} + 2 } \times \frac{ \sqrt{7} - 2}{ \sqrt{7} - 2} \\ = \frac{ \sqrt{7} - 2}{ {( \sqrt{7} )}^{2} - {(2)}^{2} } \\ = \frac{ \sqrt{7} - 2 }{7 - 4} \\ = \frac{ \sqrt{7} - 2}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Given that:
1/(√7 - 2)
The denominator is (√7-2).
We know
The rationalising factor of (√a-b) is (√a+b)
Therefore, the rationalising factor of √7-2 is √7+2.
On rationalising the denominator them
⇛[1/(√7-2)]×[(√7+2)/(√7+2)]
⇛[1(√7+2)]/[(√7-2)(√7+2)]
Since, (a-b)(a+b) = a²-b²
Where, a = √7 and b = √2.
⇛[1(√7+2)]/[(√7)²-(2)²]
⇛[1(√7+2)]/[(√7*7)-(2*2)]
⇛[1(√7+2)]/[7-4]
⇛[1(√7+2)]/3
⇛(√7+2)/3
Hence, the denominator is rationalised.
also read similar questions:
Last summer, Scott's family rented an RV. The rental fee allowed them to use the RV for 7 days. Scott's parents paid an additional $45 for the Cozy Camp upgrade, which included a grill to use for the duration of their trip. Scott's family paid $829 in all. What was the rental cost of each day they used the RV?
Based on the equation computed, it should be noted that the rental cost for each day will be $112 per day.
Total amount paid = $829Number of days used = 7 daysFrom the information that was given in the question, the equation to solve the question will be:
= (829 - 45) / 7
= 784 / 7
= $112 per day.
The correct option is $112 per day.
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Find the derivative of y=a^x
If y = aˣ, then y = exp(ln(aˣ)) = exp(x ln(a)). (Here I use exp(x) = eˣ.)
Then using the chain rule, the derivative of y is
dy/dx = exp(x ln(a)) • ln(a)
and undoing the rewriting, we end up with
dy/dx = ln(a) aˣ
whats -2 - 19t if t=-1
Answer:
17
Step-by-step explanation:
-2 - 19 x -1
-2 + 19(because two negatives make a positive)
17
Answer:
17 is the answer.
Step-by-step explanation:
Given:
t = -1Let's substitute.
=> -2 - 19t
=> -2 - 19(-1)
=> -2 - (-19)
=> -2 + 19
=> 17
Therefore, 17 is the answer.
Hoped this helped.
Help I need the answers ASAP
Answer:
7296 / 24 = 304
9216 / 18 = 512
I'll put this as random but you can answer it...
ill give yall 10 points if yall do it!
Answer: 4 gallons = 15 liters, 8 liters = 2 gallons, 12.5 liters = 3 gallons, and 6 gallons = 23 liters.
Answer:
yea no
Step-by-step explanation:
i really don't know sorry tho
A rectangular field is four times as long as it is wide if the perimeter of the field is 420 yards what are the fields dimensions
Answer:
168yards by 42yards
Step-by-step explanation:
Perimeter =2(l+b)
Perimeter =420yards
length=4×breadth
l=4b
P=2(l+b)
P=2(4b+b)
P=2(5b)
P=10b
420=10b
b=420/10
b=42yards
l=4b=4×42yards
l=168yards
hence the dimensions are 168yards by 42yards
HELP PLEASE!!!
Drag each graph to show if the system of linear equations it represents will have no solutions, one solution, or infinitely many solutions.
The first graph shows a system of equations that has a unique solution because the two linear graphs have a single point of intersection.
The second graph shows a system of equations with no solutions. This is because the two graphs are parallel to each other, and have no point of intersection.
The third graph has two linear equations that coincide at every point. This makes this system to have an infinite number of solutions.
The fourth graph shows two linear functions having a single point of intersection. This particular system of equations has a unique solution.
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Find the value of t for the given values of d and r. d = 286, r = 55
CAN SOMEONE HELP ME PLEASE <3
Answer:
It's Micrograms. The rest are from the imperial system, which is the system that is commonly used in the United States. The metric system is an international system for scientists and mathematicians to use so that sharing and giving information is a lot easier when conveying to other people around the world.
Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . Brand B has a pack of pencils for 9.97$ .
Find the unit price for each brand. Then state which brand is the better buy based on the unit price.
Round your answers to the nearest cent.
Answer:
Unit Price for Brand A: $0.31 per Pencil.
Unit Price for Brand B: $0.35 per Pencil.
Brand A is the better buy.
Step-by-step explanation:
Divide 7.49 by 24 to get 0.312 and round down to 0.31.
Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)
Compare 0.31 and 0.35. (0.31 < 0.35)
Joe lost his part-time job, which reduced the net family income by 20%. His wife Janice decided to work overtime to compensate for the lost income. Other things being equal, by what percentage must her net salary increase in order to arrive at the same net family income as they had before Joe lost his job?
The percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Let the salary of Joe be represented by x, while the salary of Janice is represented by y.
Since the sum of the salary of Joe and Janice is the net income of the family. Therefore, the net salary when Joe had a job will be,
x + y₁ = 100%
Now, it is known that Joe lost his job, which reduced the net family income by 20%. Therefore, the net salary now will be only 80% which will be equal to the salary of Janice. Thus, we can write,
y₁ = 80%
Further, Janice decided to work overtime to compensate for the lost income. Therefore, we can write,
y₂ = 100%
Furthermore, the percentage change in salary of Janice can be written as,
Percentage Change = [(100% - 80%)/80% ] × 100%
= 20/80 × 100%
= 25%
Hence, the percentage by which Janice's net salary must be increased in order to arrive at the same net family income as they had before Joe lost his job is 25%.
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niko made a small pizza using 5 ounces of chease and 3 ounces of sauce he wants to make a large pizza with 10 ounces of chease using the same ratio of cheese sauce
Answer:
Step-by-step explanation: here I am pretty sure it is 6
Last week a candle store received $515.90 for selling 30 candles. Small candles sell for $11.25 and large candles sell for $22.40. how many large candles did the store sell?
Answer:
16
Step-by-step explanation:
x+y=30 solve for x x=30-y
substitute x with 30-y and solve
11.25x+22.4y=515.9
11.25(30-y)+22.4y=515.9
337.5+11.15y=515.9
11.15y=178.4
y=16
since we're solving for just large candles it's 16
if need small cangle number 30-16=14
A runner ran 1 4/5 miles on Monday and 6 3/10 on Tuesday. How many times her Monday's distance was her Tuesday's distance? Please help me I need an answer that makes sense
Which of the following shows the correct solution steps and solution to 4x + 9 = -23?
Exact Form:
x
=
7
2
x
=
7
2
Decimal Form:
x
=
3.5
x
=
3.5
Mixed Number Form:
x
=
3
1
2
Answer:
X=3.5
Step-by-step explanation:
What you do is take -9 to 9 and -23. Next subtract -23 and 9. Then drop 4x and then divided 4x by 14 and you will get 3.5 as your answer.
Hope it helped!
How do you round 104,000 to the nearest 100,000
It would be 100,000. If it were anything above 150,000, then it would round up to 200,000.
Hope this helps ^^
Answer:
"To round a number to the nearest 100,000, check the ten thousands digit to decide whether to round up or round down. If the ten thousands are 50,000 or more, round up. If they are 49,999 or less, round down. 450,000 to the nearest 100,000 is 500,000."
CONTENT NOT FROM MY WORD!!!
judy gave 1/9 of her candies that she had to janet. with what she had remaining, she gave 1/2 to her brother. Judy now has 12 candies left. how many candies did she have at the beginning?
Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
In your own words, describe the one thing that makes adding decimals different than adding whole numbers. Why is this important
Answer:
Step-by-step explanation:
One difference is that when adding decimals you have to be aware if you have to move it or is the numbers are lined up,while whole numbers you just add them with no worries just making sure your adding the number rights and getting the right answer .
Travel back in time to the year 2008, when text messages were charged per text. Some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that. Today, most packages include unlimited text and data but cost closer to $100 a month.
In 2008, up to 405 messages could be sent without spending more than $ 100.
Since in 2008, text messages were charged per text, and some carriers charged $59 for a basic text package of 200 texts and 20 cents per text after that, while today, most packages include unlimited text and data but cost closer to $ 100 a month, to determine the range of text messages you can send with the 2008 plan without spending more than $100, the following calculation must be performed:
(41 / 0.2) + 200 = X 205 + 200 = X 405 = X
Thus, in 2008, up to 405 messages could be sent without spending more than $ 100.
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what is solve 10<-2/3(9+12b)
of the negative number, and of the
16
6 The sum of a negative number,
negative number is – 13.2. What is the negative number?
Answer:
semoga jawabannya benar
Step-by-step explanation:
Korelasi Rank Spearman digunakan untuk mencari hubungan atau untuk menguji signifikansi hipotesis asosiatif bila masing-masing variabel yang dihubungkan berbentuk Ordinal.
Answer:
179.2
Step-by-step explanation:
166 = x + -13.2
166 - -13.2 = 166 + 13.2 = 179.2
Not graded help please
if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)
Answer:
4
Step-by-step explanation:
three movie tickets cost 36$ at this same rate how much do 12 tickets cost
Answer:
$144
Step-by-step explanation:
Each ticket is $12.
How old would u be if you was born in 1475 and died in 1946
Answer: 471 years old
Step-by-step explanation:
1946-1475= 471
What is the solution to this system?
8
Answer:
(2,2)
Step-by-step explanation:
The solution to a system is the point on the graph where both lines intersect.