What is √101.6064 in to 1 decimal place and in standard form?
NEED ASAP
Note that
10² = 100
0.08² = 0.0064
and
101.6064 = 100 + 1.6 + 0.0064
It also happens that
1.6 = 2 • 10 • 0.08
which means
101.6064 = 100 + 1.6 + 0.0064
101.6064 = 10² + 2 • 10 • 0.08 + 0.08²
101.6064 = (10 + 0.08)²
101.6064 = 10.08²
which means
√101.6064 = 10.08
which, to one decimal place, is approximately 10.1.
The admission fee at an amusement park is 1.5 dollars for children and 4 dollars for adults. On a certain day, 235 people entered the park, and the admission fees collected totaled 640 dollars. How many children and how many adults were admitted?
Answer: 115 Adults and 120 Children
Step-by-step explanation:
We have 2 unknowns: A is the number of Adults and C is the number of children.
We'll need at least two equations to solve for two unknowns.
One equation is easy: We know that A + C = 235, the total number of people who entered the park.
The second equation comes from the second fact that was provided: total admission fees were $640. We can write the sum of the two unknowns, A and C, when multiplied by their respective admission fee:
4A + 1.5C = $640 [$4 * the number of adults plus $1.5 * the number of children]
Rearrange the first equation for either variable, A or C. I picked A:
A = 235 - C
Now use this value for A in the second equation:
4A + 1.5C = $640
4*(235-C) + 1.5C = $640
-2.5C + 940 = 640
-2.5C = -300
C = 120 children
To find A:
A = 235 - C
A = 235 - 120
A = 115 adults
===
Double check to see if these value work:
C A
Fee($) 1.5 4
People 120 115
Income ($) 180 460
Total = 180 + 460 = $640
It works. 120 Adults and 115 Children.
QUESTION REFER TO ABOVE ATTACHMENT .
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The alteration has an effect on (K) I, II and III
The function is given as:
[tex]h = -at^2 + bt + c[/tex]
When the constant term (c) is altered, i.e. changed, the function becomes a different function entirely.
Take for instance, the new function is:
[tex]h = -at^2 + bt + c+ 1[/tex]
The functions [tex]h = -at^2 + bt + c[/tex] and [tex]h = -at^2 + bt + c+ 1[/tex] are different, and both functions will have different intercepts and vertices.
Hence, the alteration has an effect on (K) I, II and III
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The m1 is twice m3. The m2 is 20 more than the m3 find m4. See picture for full problem. Please and thank you!
Answer:
Step-by-step explanation:
Which graph shows a system of equations with no solutions?
Answer: We need to see the options
Step-by-step explanation: We need to see the options
PLEASE HELP ASAP 40 points Solve -2/3x > 8 or -2/3x < 4. {x | x > -12 or x < -6} {x | -12 < x < -6} {x | x < -12 or x > -6}
For any two numbers a and b, the product of a − b times itself is equal to a^2 − 2ab + b^2. Does this familiar algebraic result hold for dot products of a vector u − v with itself? In other words, is it true that (u − v) • (u − v) = u • u − 2u • v + v • v? Justify your conclusion, trying not to express vectors u and v in component form.
Answer:
yes; the distributive property applies to dot products
Step-by-step explanation:
The product of (a-b) with itself is ...
(a -b)·(a -b) = a² -2ab +b²
because the commutative and distributive properties apply to multiplication.
(a -b)·(a -b) = a(a -b) -b(a -b) = a² -ab -ba +b² = a² -ab -ab +b² = a² -2ab +b²
__
The same expansion works for the dot product operation, because the commutative and distributive properties hold for that operation, as well.
(u −v)•(u −v) = u•(u -v) -v•(u -v) = u•u -u•v -v•u +v•v
= u•u -u•v -u•v +v•v = u•u -(u+u)•v +v•v = u•u -2u•v +v•v
_____
Additional comment
The proof of any of the properties of the dot product relies on expressing the vectors in component form. The distributive property is no exception.
Can someone plz help Me?
Answer:
A
[tex]^{}[/tex]
Find the x in the figure. Assume a and b are parallel
Answer:
x = 15
Step-by-step explanation:
(4x - 30) and (2x) are alternate angles and are congruent , then
4x - 30 = 2x ( subtract 2x from both sides )
2x - 30 = 0 ( add 30 to both sides )
2x = 30 ( divide both sides by 2 )
x = 15
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Royce took out a 3 year loan to purchase a car at 4.5% simple interest. If he pays $405 in interest, how much principal did he borrow?
Answer:
Solution here,
Principal=?
Time =3 year
Rate of percent= 4.5
SIMPLE intrest=$405
Now
Principal=(SIMPLE INTREST × 100)/(TIME × RATE)
=$40500/13.5
=$3000
A group of friends wants to go to the amusement park. They have $180.50 to spend on parking and admission. Parking is $19.50, and tickets cost $23 per person, including tax. Write and solve an equation which can be used to determine pp, the number of people who can go to the amusement park.
equation:
answer p:
a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
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help me divide me 1/4 divided my three
Answer:
1/12
Step-by-step explanation:
1/4 divide by three= 1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Explanation: In order to divide fractions, you must follow these 3 simple steps:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal.
Step 3. Simplify the fraction (if needed).
mori has 6 7/10 pounds of potatoes. she uses some of the potatoes in a salad. now she has 2 2/5 pounds of potatoes left. How many pounds did maori use?
Answer:
43/10 pounds = 4 3/10 pounds
Step-by-step explanation:
for this you want to subtract 6 7/10 minus 2 2/5. You first have to get a common denominator and find the numerator then subtract.
I need this points for algebra help please
Answer:
ur mom
Step-by-step explanation:
lol
carl plays a game with his friend. their scores are 2,9,17, 18, and 15. what is the median score of their games? Need answer asap thanks
Answer:
15
Step-by-step explanation:
Order
2, 9, 15, 17, 18
Find Median Position
Use the formula
[tex] \frac{n + 1}{2} [/tex]
where n is the number of numbers.
Substituting in, 5 + 1 is 6, divided by 2 is 3.
Find the number at the correct position
15
can someone help me with this
Answer: i think you should label it with numbers first
maybe??
Step-by-step explanation:
In IJK, i = 40 inches, j = 80 inches and ZK=92°. Find ZJ, to the nearest degree.
Answer:
61.9
Step-by-step explanation:
mark me as brainliest
Answer:
62°
Step-by-step explanation:
The law of cosines is used to find the length of side k:
k² = i² +j² -2i·j·cos(K)
k² = 40² +80² -2·40·80·cos(92°) ≈ 8223.3568
k ≈ 90.6827 . . . . . . . take the square root
Then the law of sines is used to find angle J.
sin(J)/j = sin(K)/k
J = arcsin(j/k·sin(K)) = arcsin(80/90.6827·sin(92°)) ≈ 61.84°
J ≈ 62°
If x=a sintheta and y=bcostheta, show that (b^2)(x^2)+(a^2)(y^2)=(a^2)(b^2)a
Write an equation you could use to find the length of the missing side of the right triangle. Then find the missing length. Round to the nearest tenth if necessary.
Group of answer choices
26+ 24 = a ; 35.4 in.
a + 24 = 26; 10 in.
a + 24 = 26; 2 in.
a + 24 = 26; 100 in.
Answer:
a² + 24² = 26² ; a = 10 in.
Step-by-step explanation:
a² + 24² = 26² ; a = 10 in.
((I'm not sure if your choice is wrong.))
anybody help please hm
Plz help with this question
Answer:
the area of the tile is 190 cm2
-185 = -5 - 9b
How to find the answer to this problem above?
Answer:
b=20
Step-by-step explanation:
-185-5=9b
-180=9b
=>b= -20
Nikita began with the figure shown.
A.
B
She completed the following actions to construct the angle bisector of ZABC, but made a mistake in one of the steps. Select the step in which
her mistake was made.
Step 1: She placed the compass on point B and drew an arc which intersects ray BA at point D and ray BC at point E.
Step 2: Next, she placed the compass on point D and drew an arc on the interior of ZABC.
Step 3: Then, she placed the compass on point C and drew an arc on the interior of ZABC, which intersects the previous arc.
Step 4: She labeled the intersection of the two arcs as point F and drew the ray BF, which represents the angle bisector
of ZABC.
The angles formed by the angle bisector BF are ∠FBA and ∠FBC.
The step in which the mistake was made is step 3; Then, she placed the compass on point C and drew an arc on the interior of ∠ABC which intersects the previous arc.
Reasons:
The steps to draw an angle bisector are;
Place the compass at the vertex of the angle and draw an arc intersecting the the two rays forming the angle at points D and E
Place the compass at point D and draw an interior arc to the given angle
Place the compass at point E and draw a second interior arc intersecting the previous arc
The point of intersection of the two arcs can be labelled F and joined to the vertex of the given angle to complete the angle bisection
Therefore, the step in which the mistake was made is; Step 3 where the compass is placed at point C rather than point E to draw the second arc of the angle bisector
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Answer:
Step three
Step-by-step explanation:
she placed the point on C when it was supposed to be on E
Describe how modern entertainment has begun to reflect the changing makeup of families in America.
It should be noted that modern entertainment has played a vital role in shaping African culture and homes.
Through modern entertainment, Africans views on marriages have changed. Most African men now marry one wife which was quite different in the olden days when it was believed that an increase in the number of wives one had was used to show superiority.
Also, entertainment has been impactful in the issue of child-bearing. Women now give birth to lesser children at an average of 3 per home.
Lastly, modern entertainment has also influenced the kind of movies and music that are listened to.
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Ali sorced 66 and 72 marks respectively.For his two tests what is the lowest mark he must have sorced for his third test.If an average sorce of a least 75 is requied to qualify for a bouns prize
Answer:
87
Step-by-step explanation:
66 + 72 + 87 = 225
225/3 = 87
Answer:
87
Step-by-step explanation:
For problems involving averages, it often works well to consider the differences from the average. Here, Ali desires an average of 75. The total of differences from average will be zero. The differences for the known scores are ...
66 -75 = -9
72 -75 = -3
The total of these is -12, so the third score must have a difference of +12 for the average to be 75
x -75 = 12
x = 87
For the average to be at least 75, the third score must be at least 87.
_____
You can also work this in a more conventional way. The average of the three scores must be at least 75.
(66 +72 +x)/3 ≥ 75
138 +x ≥ 225 . . . . . . multiply by 3, simplify
x ≥ 87 . . . . . . . . . . subtract 138
The lowest mark Ali must receive is 87.
Broccoli costs $1.50 per pound at a store. How much money does 32 onces of broccoli cost
Answer:
$3.00
Step-by-step explanation:
1 pound = 16 ounces
2 pounds = 32 ounces
1.5 x 2 = 3
HELP ME PLEASEEEE
6(p+2.25)=15 9/10 DUE RIGHT NOWWWW
Answer:
p=2/5
p=0.4
Step-by-step explanation:
Answer:
p=2/5
Step-by-step explanation:
6p+13.5=159/10
A biking track has the lenght of 0.95 mi. How long is this in feet?
Answer:
5016 feet
Step-by-step explanation:
Two forces of 100 Newtons and 25 Newtons
act concurrently on an object. These two forces
could have a resultant force of
A) 0 N
B) 50 N
C) 100 N
D) 150 N
Answer:
100 N
Step-by-step explanation:
Use Pythagorean Theorm to solve:
a2 + b2 = c2
(100)2 + (25)2 = c2
10000 + 625 = c2
10625
Take the square root
c2= 100N
Your Answer: 100 N
You record the number x of goals scored by the winning team, and the number y of goals scored by the
losing team for each soccer game during a team's season. Does the relation necessarily represent a function?
Explain.
Answer:
Step-by-step explanation:
Not necessarily.
For example 2 games could have the score 3-1 and 3-2.
This is a one-to-many mapping which is not a function.