The time of 1 hour 40 minutes Bert takes for him to travel 50 miles.
What is the distance?Distance is defined as the product of speed and time.
What are Arithmetic operations?Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.
The operator that performs the arithmetic operation is called the arithmetic operator.
Operators which let do a basic mathematical calculation
+ Addition operation: Adds values on either side of the operator.
For example 4 + 2 = 6
- Subtraction operation: Subtracts the right-hand operand from the left-hand operand.
for example 4 -2 = 2
* Multiplication operation: Multiplies values on either side of the operator
For example 4*2 = 8
Given that Bert is driving along a country road at a constant speed of 30 miles per hour
To determine the time it takes for him to travel 50 miles.
Let the time of x minutes it takes for him to travel 50 miles.
⇒ 30 miles/60 minutes = 50 miles/ x minutes
Cross multiplication apply in above equation,
⇒ 30x. x = 60x50
⇒ 3000 = 30x.
⇒ x = 100 minutes, or
⇒ 1 hour 40 minutes
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tan^2 30 +tan ^2 45+tan^2 60
Step-by-step explanation:
tan 30 = 1/√3tan 45 = 1tan 60 = √3 = tan² 30 + tan² 45 + tan² 60 = ( 1 /√3 )² + ( 1 )² + ( √3 )² = ( 1 / 3 ) + ( 1 ) + ( 3 ) = ( 1 + 3 + 9 ) ÷ 3 = 13 ÷ 3 = 4.333MARK ME AS BRAINLISTA rectangle has a length of 2y inches and a width of y - 4 inches. If the perimeter of the rectangle is 22 inches, what is y? What is the length? What is the width?
find the
value of
x if
3^x=3^2020+3^2017/3^2017+3^14
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!
PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! ASAPPPP
DIVIDING EXPONETS
Answer:
[tex]-0.5n^{4}[/tex] or [tex]-\frac{1}{2} n^{4}[/tex]
Step-by-step explanation:
To simplify a dividing exponent, use the "Quotient of Powers" law: [tex]\frac{a^{m} }{a^{n} } = a^{m-n}[/tex]. In this situation, the equation would be: [tex]\frac{-9}{18} n^{6} -n^{2}[/tex] or [tex]-0.5n^{4}[/tex] (-0.5 is also [tex]-\frac{1}{2}[/tex]).
Hope it helps and is correct!
HELP PLEASE! ( number 7 btw ) please help this if half of my grade
Answer:
A,B,&E are definitely 7 or more
180:60 in its simplest form
Step-by-step explanation:
here is it your
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Curved surface area of a cone is 308 cm and its slant height is 14 cm Find.
radius of the base (m) Total surface area of the cone.
Step-by-step explanation:
tsa= total surface area
csa=curved surface area
answer is in the picture
What is the missing value in the image above? *
Answer:
8
Step-by-step explanation:
because there is nothing to subtract 8 from
It takes Diego 130 of an hour to complete a lap on a circular bike track. The track is 15 mile long. What is Diego’s bike speed?
Answer:
8 2/3 per mile
Step-by-step explanation:
130 / 15 = 8 2/3
Hope that helps!
Solve for x : 80 + x = 100 - 14
Answer:
x=6
Step-by-step explanation:
100-14=86
86-80=6
HELP 69pts Which comparison is true?
A. 4
B. 4.5 < 718 < 5
C. 8.5 < V18 < 9.5
D. 17 < 118 < 19
Answer: C
Step-by-step explanation:
Option A is true comparisons among the given option as the number are in increasing order A. 4 < √18 < 4.5 .
To determine if this is true, let's calculate the square root of 18:
√18 ≈ 4.2426
Substituting the value into the comparison:
4 < 4.2426 < 4.5
This statement is true because 4 is indeed less than 4.2426, and 4.2426 is less than 4.5. Therefore, Option A is true.
B. 4.5 < √18 < 5
Option B states that 4.5 is less than the square root of 18, and the square root of 18 is less than 5. We have already determined the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
4.5 < √18 < 5
This statement is also true because 4.5 is not less than 4.2426, and 4.2426 is less than 5. Therefore, Option B is not true.
C. 8.5 < √18 < 9.5
Option C states that 8.5 is less than the square root of 18, and the square root of 18 is less than 9.5. We have already established the value of the square root of 18 as approximately 4.2426. Evaluating this comparison:
8.5 < √18 < 9.5
This statement is false because 8.5 is not less than 4.2426. Therefore, Option C is not true.
D. 17 < √18 < 19
Option D states that 17 is less than the square root of 18, and the square root of 18 is less than 19. Evaluating this comparison:
17 < √18 < 19
This statement is true because 17 is not less than 4.2426, and 4.2426 is less than 19. Therefore, Option D is not true.
In conclusion, among the given options, Option A is true comparisons:
A. 4 < √18 < 4.5
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Which comparison is true?
A. 4 <√18 < 4.5
B. 4.5 < √18 < 5
C. 8.5 < √18 < 9.5
D. 17 < √18 < 19
89+67
berapakah jawapan nya
Answer:
156
Step-by-step explanation
fgcfgvhvcfgvxxbbhhcx
Answer:
Jawapan kepada 89 + 67 = 156
It would be very appreciated mister
Which of the following answers would have
no solution?
X=3
5=3
2=2
Answer:
no entiendo me explican que significa por fa
Albert mixes 10 grams of 15% sugar and 25 grams of 10% sugar syrup. How many grams of sugar does the mixture contain?
Answer:
4 grams
Step-by-step explanation:
Find how many grams of sugar are in each mixture:
10(0.15)
= 1.5
25(0.1)
= 2.5
Add these together:
1.5 + 2.5 = 4
So, the mixture contains 4 grams of sugar
OML PLEASE HELP! GIVING BRAINLIEST PLEASEE. Instruction are to answer all 3 questions naming their angle 4 ways. PLEASE
Answer: where is the image if there is ment to be one
Step-by-step explanation:
a-3.2=5.5 what does a equal??
Answer:
2.3
EDIT ITS 8.7 SEE THIS IS WHY YOU CANT TRUST ME
Step-by-step explanation:
Answer:
8.7
Step-by-step explanation:
just add 5.5 and 3.2
Diego has a maximum of $35 from his summer job earnings to buy shorts and socks for soccer. He needs 5 pairs of socks and a pair of shorts. Each pair of socks costs the same. The shorts he wants cost $19.95.
Write and solve an inequality to represent the amount of money Diego can spend on a single pair of socks. Let x represent the price of one pair of socks.
Answer:
The inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is;
Y ≤ $3.07
Step-by-step explanation:
The parameters for the maximum earnings and the number a=of socks for soccer Diego can buy are;
The maximum amount Diego has, A = $35
The cost of the shorts Diego wants, S = $19.95
The number of pairs of socks Diego needs, n = 5 pairs
Let the
Given that, 'x', represents the price of a pair of socks, we have, the inequality to represent the amount of money Diego can spend on a single pair of socks, 'Y', is given as follows;
Y ≤ (A - S)/n
Plugging in the known values of 'A', 'S', and 'n', we have;
Y ≤ (35 - 19.65)/5 = 3.07
∴ Y ≤ $3.07
A rectangular garden has a length of 8 feet and a width of 5 feet. The entire garden
is surrounded by walkway of uniform width. What does the algebraic expression
(2w+8)(2w+5) represent in this context?
A. the area of the garden only
B. the total area of the garden and walkway
C. the perimeter of the garden only
D. the perimeter of the walkway only
Answer:
b
Step-by-step explanation:
just answer please hurry
Answer:
2.7 pages and 1.7 pounds of rice
Step-by-step explanation:
2.7 pages in one minute because 27/10=2.7
and 1.7 pounds of rice can be purchased for a dollar because 15/9 is about 1.7
pls help me plssssss
Answer:
1
Step-by-step explanation:
It's the correct spelling.
A family smoothie recipe calls for strawberry juice and apple juice. This equation represents the proportional relationship between the number of cups of strawberry juice (s) and apple juice (a) in the recipe.
Answer:
21
Step-by-step explanation:
21 divided by 7 is three: to the third power of 11 so your answer is 21, I think
pls help its due now
Answer:
$2.25 is the cost of one pretzel
Step-by-step explanation:
6p/13.50
p=2.25
A triangle is translated by using the rule (x,y) (x-4,y+1). Which describes how the figure is moved?
Answer:
four units left and one unit up
Step-by-step explanation:
this is because x is always horizontal and y is always vertical
Nina uploaded a funny video on her website, which rapidly gains views over time.
The relationship between the elapsed time, ttt, in days, since Nina uploaded the video, and the total number of views, V(t)V(t)V, left parenthesis, t, right parenthesis, is modeled by the following function:
V(t)=500⋅(1.8)t
Complete the following sentence about the daily percent change in the views of the video.
Answer: 80% views are added
Step-by-step explanation:
The required daily percent change in the views of the video is 50%.
Nina uploaded a funny video on her website, the relationship between the elapsed time t, and number of views. V(t) is V(t)=500⋅(1.8)t.
What is rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
V(t)=500⋅(1.8)t
The slope of the given relationship will describe the the daily percent change in the views of the video i.e.
m = 500*1.8
m = 900
since the rate of increase in views in each day is by 900.
Now the percentage change per day.
= 900/1800 x 100
= 50 %
Thus, the required daily percent change in the views of the video is 50%.
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If you answer correctly I will give you brainlest 5 stars and a thank you
A baseball field has four bases that form the shape of a quadrilateral. If someone invented a
new game similar to baseball that had four extra bases in the field, what type of polygon would
the bases form?
Apentagon
Boctagon
Chexagon
Ddecagon
FIND THE DOMAIN AND RANGE!!!!
Can u answer these for me with the work shown
Answer:
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]
[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]
Step-by-step explanation:
Required
Simplify
Solving (1):
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}[/tex]
Factorize the numerator and the denominator
[tex]\frac{x^2(x + 2) -9(x+2)}{x(x^2-x-6)}[/tex]
Factor out x+2 at the numerator
[tex]\frac{(x^2 -9)(x+2)}{x(x^2-x-6)}[/tex]
Express x^2 - 9 as difference of two squares
[tex]\frac{(x^2 -3^2)(x+2)}{x(x^2-x-6)}[/tex]
[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-x-6)}[/tex]
Expand the denominator
[tex]\frac{(x -3)(x+3)(x+2)}{x(x^2-3x+2x-6)}[/tex]
Factorize
[tex]\frac{(x -3)(x+3)(x+2)}{x(x(x-3)+2(x-3))}[/tex]
[tex]\frac{(x -3)(x+3)(x+2)}{x(x+2)(x-3)}[/tex]
Cancel out same factors
[tex]\frac{(x+3)}{x}[/tex]
Hence:
[tex]\frac{x^3 + 2x^2 -9x-18}{x^3-x^2-6x}= \frac{(x+3)}{x}[/tex]
Solving (2):
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2}[/tex]
Expand the numerator and factorize the denominator
[tex]\frac{3x^2 - 6x + x - 2}{x^2(x- 2)}[/tex]
Factorize the numerator
[tex]\frac{3x(x - 2) + 1(x - 2)}{x^2(x- 2)}[/tex]
Factor out x - 2
[tex]\frac{(3x + 1)(x - 2)}{x^2(x- 2)}[/tex]
Cancel out x - 2
[tex]\frac{3x + 1}{x^2}[/tex]
Hence:
[tex]\frac{3x^2 - 5x - 2}{x^3 - 2x^2} = \frac{3x + 1}{x^2}[/tex]
Solving (3):
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}[/tex]
Express x^2 - 9 as difference of two squares
[tex]\frac{6 - 2x}{x^2 - 3^2} * \frac{15 + 5x}{4x}[/tex]
Factorize all:
[tex]\frac{2(3 - x)}{(x- 3)(x+3)} * \frac{5(3 + x)}{2(2x)}[/tex]
Cancel out x + 3 and 3 + x
[tex]\frac{2(3 - x)}{(x- 3)} * \frac{5}{2(2x)}[/tex]
[tex]\frac{3 - x}{x- 3} * \frac{5}{2x}[/tex]
Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]
[tex]\frac{-(x-3)}{x- 3} * \frac{5}{2x}\\[/tex]
[tex]-1 * \frac{5}{2x}[/tex]
[tex]-\frac{5}{2x}[/tex]
Hence:
[tex]\frac{6 - 2x}{x^2 - 9} * \frac{15 + 5x}{4x}=-\frac{5}{2x}[/tex]
Solving (4):
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x}[/tex]
Expand x^2 - 6x + 9 and factorize 5x - 15
[tex]\frac{x^2 -3x -3x+ 9}{5(x - 3)} / \frac{5}{3-x}[/tex]
Factorize
[tex]\frac{x(x -3) -3(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]
[tex]\frac{(x -3)(x-3)}{5(x - 3)} / \frac{5}{3-x}[/tex]
Cancel out x - 3
[tex]\frac{(x -3)}{5} / \frac{5}{3-x}[/tex]
Change / to *
[tex]\frac{(x -3)}{5} * \frac{3-x}{5}[/tex]
Express [tex]3 - x[/tex] as [tex]-(x - 3)[/tex]
[tex]\frac{(x -3)}{5} * \frac{-(x-3)}{5}[/tex]
[tex]\frac{-(x-3)(x -3)}{5*5}[/tex]
[tex]\frac{-(x-3)^2}{25}[/tex]
Hence:
[tex]\frac{x^2 -6x + 9}{5x - 15} / \frac{5}{3-x} = \frac{-(x-3)^2}{25}[/tex]
Solving (5):
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}[/tex]
Factorize the numerator and expand the denominator
[tex]\frac{x^2(x - 1) -1(x - 1)}{x^2 - x-x+1}[/tex]
Factor out x - 1 at the numerator and factorize the denominator
[tex]\frac{(x^2 - 1)(x - 1)}{x(x -1)- 1(x-1)}[/tex]
Express x^2 - 1 as difference of two squares and factor out x - 1 at the denominator
[tex]\frac{(x +1)(x-1)(x - 1)}{(x -1)(x-1)}[/tex]
[tex]x +1[/tex]
Hence:
[tex]\frac{x^3 - x^2 -x + 1}{x^2 - 2x+1}= x +1[/tex]
Solving (6):
[tex]\frac{9x^2 + 3x}{6x^2}[/tex]
Factorize:
[tex]\frac{3x(3x + 1)}{3x(2x)}[/tex]
Divide by 3x
[tex]\frac{3x + 1}{2x}[/tex]
Hence:
[tex]\frac{9x^2 + 3x}{6x^2} = \frac{3x + 1}{2x}[/tex]
Solving (7):
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x}[/tex]
Change / to *
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]
Expand
[tex]\frac{x^2-2x-x+2}{4x} * \frac{12x^2}{x^2 - 2x} * \frac{x}{x-1}[/tex]
Factorize
[tex]\frac{x(x-2)-1(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]
[tex]\frac{(x-1)(x-2)}{4x} * \frac{12x^2}{x(x - 2)} * \frac{x}{x-1}[/tex]
Cancel out x - 2 and x - 1
[tex]\frac{1}{4x} * \frac{12x^2}{x} * \frac{x}{1}[/tex]
Cancel out x
[tex]\frac{1}{4x} * \frac{12x^2}{1} * \frac{1}{1}[/tex]
[tex]\frac{12x^2}{4x}[/tex]
[tex]3x[/tex]
Hence:
[tex]\frac{x^2-3x+2}{4x} * \frac{12x^2}{x^2 - 2x} / \frac{x - 1}{x} = 3x[/tex]
A number cube is rolled 24 times and lands on 2 four times and on 6 three times.
Find the experimental probability of landing on a 2.
12
Answer:
1/6 times the number cube wil land on 2
Step-by-step explanation:
Question 1 of 5
What is the circumference of a circle with a diameter of 6 feet? Use 3.14 for tt.
A. 18.84 ft
B. 28.26 ft
C. 37.68 ft
D. 9.42 ft
Answer:
The answer is A. 18.84
Step-by-step explanation:
Hope this helps =)
