Answer:
21 above is the answer
Step-by-step explanation:
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
Not graded help please
What is the volume of the box of snacks if the height is 7 inches?
(MUST BE DONE BY TOMORROW!)
Answer:
it's a
Step-by-step explanation:
the formula for volume is height×width×length
7×4×3=84
voila!
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:
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.
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!
Please helpppp quick
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
Mrs bai bought 4 boxes of handkerchief for $31.20. There were 12 handkerchief in the box. Find the cost of the 1 handkerchief
Answer:
0.65 cents
Step-by-step explanation:
12x4=48 total
31.20/48 = 0.65 cents each
Ryan needs to buy some pencils. Brand A has a pack of pencils for 7.49$ . 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)
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.
what is solve 10<-2/3(9+12b)
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%.
Learn more about Percentages:
https://brainly.com/question/6972121
#SPJ2
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
Find the value of t for the given values of d and r. d = 286, r = 55
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
At the beginning of year 1, Sam invests $700 at an annual compound interest
rate of 5%. He makes no deposits to or withdrawals from the account.
Which explicit formula can be used to find the account's
beginning of year 4? What is the balance?
at the beginning of year 4, only 3 years have elapsed, the 4th year hasn't started yet, since it's at the beginning, so at the beginning of year 4 we can say only 4-1 years have elapsed.
[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$700\\ r=rate\to 5\%\to \frac{5}{100}\dotfill &0.05\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=\textit{elapsed years}\dotfill &3 \end{cases}[/tex]
[tex]A=700\left( 1 + \frac{0.05}{1} \right)^{1\cdot 3}\implies A = 700(1+0.05)^3\implies A(4)=700(1+0.05)^{4-1} \\\\[-0.35em] ~\dotfill\\\\ ~\hfill A(n)=700(1+0.05)^{n-1}~\hfill[/tex]
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.
Learn more about maths in https://brainly.com/question/25908673
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.
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 .
if f(x)=3^x+10 and g(x)=2x-4, find (f+g)(x)
Answer:
4
Step-by-step explanation:
write 6 out of 40 as a fraction a decimal and a percent
Answer:15% , 0.15 , 6/40 or 3/20
Step-by-step explanation:
The percent is 15% and 15 hundredths is 0.15 and the fraction is just 6/40.
Answer:
3/20, 0.15, 15%
Step-by-step explanation:
Fraction:
6/40 un-simplified
3/20 simplified
Decimal:
0.15
Percentage:
15%
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
if 5/7 of x is 5/21 then what's x?
[tex] \frac{5}{7} \: \: \: of \: \: \: x = \frac{5}{21} \\ = > \frac{5x}{7} = \frac{5}{21} \\ = > 5x = \frac{5}{21} \times 7 \\ = > 5x = \frac{5}{3} \\ = > x = \frac{5}{3} \times \frac{1}{5} \\ = > x = \frac{1}{3} [/tex]
Answer:
[tex]x = \frac{1}{3} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
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.
Learn more about graphs of linear equations here: https://brainly.com/question/370278
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
General admission to the fair is $8.00, and rides cost $3.00 each.
Answer:
$24.00
Step-by-step explanation:
8x3=24
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?
The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.
If there were 70 adult tickets sold, how many movie tickets were sold altogether?
Answer:
Let the youth and adult tickets be y and x respectively.
6y + 5x ---> (1)
From statement (1):
(1) × 14
84y + 70x
For every 70 adult tickets sold, 84 youth tickets were sold.
Total number of tickets sold= 70 + 84
= 154