Step-by-step explanation:
an² = 182
When a = 2, n² = 182/2 = 91, n = 9.539...
When a = 5, n² = 182/5 = 36.4, n = 6.033...
Since 2 <= a <= 5, we have 6.033 <= n <= 9.539.
Therefore our possible values of n are 7, 8 and 9.
The possible values of n are 7, 8, 9
The given equation is:
an² = 182
Make n the subject of the formula:
[tex]n^2=\frac{182}{a} \\n = \sqrt{\frac{182}{a}}[/tex]
Let us consider the minimum and maximum values of a:
when a = 2
[tex]n = \sqrt{\frac{182}{2}}\\n = \sqrt{91} \\n = 9.54[/tex]
When a = 5
[tex]n = \sqrt{\frac{182}{5}}\\n = \sqrt{36.4} \\n = 6.03[/tex]
We can conclude that 6.03 < n < 9.54
Since n is an integer, the possible values of n are 7, 8, 9
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1/3 + 3/4= 3/12 + 9/12 =12/12 = 1circle the one mistake
Answer:
The left side 1/3 does not equal to the right side 1 , which means that the given statement is false.
You work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the
table and prepare their food. The family gives you a $11 tip. You want to split the tip evenly with
your co-worker. How much should you give your co-worker?
Answer:
:$5.50
Step-by-step explanation:
You will give your co-worker $5.5.
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is that you work in a restaurant, and a family comes in for dinner. You and your co-worker wait on the table and prepare their food. The family gives you a $11 tip.
For evenly splitting the tip, you will give your co - worker :
{x} = 11/2 = 5.5
{x} = $5.5
Therefore, you will give your co-worker $5.5.
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A square has side length 4 cm.
a. What is its area?
Answer:
16cm and a 2 as a exponet
Step-by-step explanation:
Answer:
A=16cm²
Step-by-step explanation:
i think 90% sure that its correct
Help will give crown
Answer:
1--7
4--22
6--32
10--52
Answer:
x=1 y=7
x=4 y=22
x=6 y=32
x=10 y=52
Step-by-step explanation:
Use the elimination Method to solve the system of equations. Choose the correct ordered pair.
6x + 4y = 32
-6x+4y = 8
A: 4,2
B: 1,5
C: 0,8
D: 2,5
Answer:
D, 2; 5
Step-by-step explanation:
Sum the equations vertically to eliminate at least one variable.
You will obtain 8y = 40.
Divide both sides by 8. You will get y = 5.
Now we know the value or y. Substitute this value into the second equation (-6x+4y = 8). You will get -6x+(4×5) = 8. Multiply 4 and 5: -6x+20 = 8.
Solve for x by moving 20 to the other side and switching sign: -6x = 8-20.
So: -6x = -12 and therefore x = 2.
So now we know the value of x and y.
(x; y) = (2; 5)
find the value of x round to the nearest tenth
Answer:
88.2
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the relevant relation ...
Tan = Opposite/Adjacent
tan(10°) = x/500
x = 500·tan(10°)
x ≈ 88.2 . . . . units
_____
cr sqdancefan on brainly , i saw that the same question was posted somewhere else and someone already answered it .
DIG DEEPER! Solve the
2x – y + 3z = -1
x + 2y - 4z = -1
y -- 2z = 0
The solution is
Answer:
x = - 1, y = 2, z = 1
Step-by-step explanation:
Given the 3 equations
2x - y + 3z = - 1 → (1)
x + 2y - 4z = - 1 → (2)
y - 2z = 0 → (3)
Add (1) and (3) term by term
2x + z = - 1 → (4)
Multiply (1) by 2
4x - 2y + 6z = - 2 → (5)
Add (2) and (5) term by term
5x + 2z = - 3 → (6)
Multiply (4) by - 2
- 4x - 2z = 2 → (7)
Add (6) and (7) term by term
x = - 1
Substitute x = - 1 into (4)
- 2 + z = - 1 ( add 2 to both sides )
z = 1
Substitute x = - 1, z = 1 into (2)
- 1 + 2y - 4 = - 1
- 5 + 2y = - 1 ( add 5 to both sides )
2y = 4 ( divide both sides by 2 )
y = 2
solution is (x, y, z ) = (- 1, 2, 1 )
Which shows the equation below written in the form ax2 + bx + c = 0? 2x2 - 3 = -6x - 2
A. 2x2 + 6x - 5 = 0
B. 2x2 - 6x - 1 = 0
C. 2x2 + 6x - 1 = 0
D. 2x2 - 6x - 5 = 0
Answer:
C. 2x² + 6x - 1 = 0
Step-by-step explanation:
2x² - 3 = -6x - 2
2x² - 3 + 6x = -6x + 6x - 2
2x² - 3 + 6x = -2
2x² - 3 + 6x + 2 = -2 + 2
2x² + 6x - 1 = 0
Hope that helps.
Please help me, please please help ASAP!!!
Evaluate g(x)=4 -3x when x=-3,0, and 5
Answer:
-11
Step-by-step explanation:
At right is the tunnel entrance that runs through
Castle Hill in Budapest, Hungary.
-a If the maximum height of the tunnel is the
same as its maximum width, 9.8 meters,
determine a quadratic model to represent
the tunnel
-b State a geometric model that could be used to
represent a truck passing through the tunnel.
-c If a typical truck has a width of 2.62 m,
determine the height limitation that should
be put on these trucks if they are going to
travel through the tunnel safely. State any
assumptions that you made and be sure to
show all of the steps in your solution.
-d Because its length is almost 350 meters,
a truck stopped in the tunnel would need
enough room for the passenger door to open
fully. Suppose a truck with a width of 2.6 m
and height of 3.4 m is stuck in the right lane
of the tunnel by the center line. The top of
the driver's door is 0.2 m below the top of the
truck, and the door opens 0.8 m to the side.
Show that the door can open fully, showing
all of your steps.
-e Determine how close to the side of the tunnel
the truck could be in d be and still be able to
open the passenger door.
-f Describe some issues/concerns that you
think architects take into account when
modelling a tunnel before its construction
End of document
Answer:
My buddy what's popping??
Step-by-step explanation:
Those coming from the Pest end had to walk round the Castle Hill on the Buda side to be able to proceed northwards. On 10 February 1853, four years after the completion of the Chain Bridge, the building of a tunnel leading through the hill was started to the plans of Adam Clark. On 6 March 1856, the tunnel was opened for foot traffic, and on 30 April 1857 also for motor traffic. Being 350 meters in length, it leads through under the Buda Castle to the other side of the hill. Its length is approximately identical to that of the Chain Bridge, prompting anecdotes according to which the tunnel has only been built so that in rainy weather, the Chain Bridge can be shoved in and be protected from wet conditions. The entry of the tunnel at its Chain Bridge end was also fittingly designed in classicist style.
Answer:
At right is the tunnel entrance that runs through Castle Hill in Budapest, Hungary.-a If the maximum height of the tunnel is the same as its maximum width, 9.8 meters, determine a quadratic model to represent the tunnel-b State a geometric model that could be used to represent a truck passing through the tunnel.
Step-by-step explanation:
In rhombus ABCD , m∠EAB=27∘ .
What is m∠EBC ?
Answer:
27 degrees
Step-by-step explanation:
is the answer
Rachael is a nurse she earns 12 vacation days after working 768 hours how many hours does rachael need to work to earn 1 vacation day
Answer:
the answer would be 64 hours
Step-by-step explanation:
You just had to divide 768 by 12
10/3 = x divided by -5/2
x = ?
Answer:
-4/3
have a nice day/night
Answer:
x = -25/3
Step-by-step explanation:
x divided by -5/2 is equal to x multiplied by -2/5
therefore, proportion is [tex]\frac{10}{3}[/tex] = [tex]\frac{-2x}{5}[/tex]
cross-multiply: -6x = 50
x = -50/6 or -25/3
A plane traveled 322 miles from El Paso in a direction 57° northeast. What is height of the plane, to the nearest mile?
Answer:
The height of the plane to the nearest mile is 175 miles
Step-by-step explanation:
Here, we want to calculate the direction of the plane
A diagrammatic representation of this will be interesting
Please check an attachment for this
From the diagram, consider the triangle OAB
we want to calculate the height of this triangle
We simply apply trigonometric identity
Thus, we have that;
Sine 33 = h/322
h = 322 sine 33
h = 175.37
h is approximately 175 miles
Give the equation of the line in
slope intercept form.
y = [?]x + []
Enter the number that belongs in the green box.
Enter
Answer:
y = 3x - 2
Step-by-step explanation:
The equation of a line is y = mx + c where m is the slope of the line and c is the y-intercept. I will be calculating the slope of the line using the points (1, 1) and (2, 4).
Slope = [tex]\frac{rise}{run}[/tex]
= [tex]\frac{4-1}{2-1}[/tex]
= 3
Based on the graph, the y-intercept is (-2) so the equation of the line is:
y = 3x - 2
Help 9th grade math please please please
Answer:
A.) This system has no solutions.
Step-by-step explanation:
y = 1/2x + 4
-1/2x + y = -5
-1/2x + (1/2x + 4) = -5
4 = -5
The system has no solutions, if we graph it, we get that it has the same slope with two different y-intercepts, these two are parallel. These two points will never meet at a point.
Answer:
use the relationship between coefficients of a pair of linear equations for no solutions i.e. a1/a2 equal to b1/b2 not equal to c1/c2 .
Here, a is coefficient of x and b is coefficient of y and c is constant term in both equation but make sure that you put the values of a1,a2,b1,b2,c1 and c2 after converting both equation in the form ax+by+c=0 with proper sign and here y=1/2(x) +4 is equation 1 and other is equation 2
Which fraction is equivalent to 2/4
Answer: 1/2
Step-by-step explanation:
2/4=1/2
Answer: Yes, 1/2, ,2/4, and 4/8 are all equal because if they are all one half, then they are equal.
Step-by-step explanation:
Write the slope-intercept form of the equation that is described below.
Through (-3, 3) and perpendicular to y = 1/3x + 5
What is the equation:
Answer:
3=-3*-3+b
3=9+b
-9 on both sides
-6=b
y=-3x-6
*-3 because the opposite of 1/3 is -3*
Question 4
4 pts
Tom and Larry put money into their bank account each week. The table below shows Tom's
saving habits.
Weeks
1
2.
3
4
5
Account Balance ($)
18 30 42 54 66
Larry's saving habits can be represented by the equation y = 15x + 5, where y is money in
his account and x is the number of weeks that he has been saving.
a. How much money was initially in Tom's account? [Select]
b. How much money was initially in Larry's account (Select]
c. Who is saving money at a faster rate? (Select ]
d. When will Tom have more money in his account than Larry?
[ Select ]
Answer:
(a). 6 ; (b). $5 ; (c). Larry'c ; (d) at time they open their accounts.
Step-by-step explanation:
Larry's saving habits is [tex]y_{L}[/tex] = 15x + 5
Tom's saving habits:
m = (30 - 18) / (2 - 1) = 12 and b = 18 - 12 = 6
[tex]y_{T}[/tex] = 12x + 6
(a). $6
(b). $5
(c). Larry'c ( [tex]m_{L}[/tex] = $15 , [tex]m_{T}[/tex] = $12 )
(d). When [tex]y_{T}[/tex] > [tex]y_{L}[/tex] ?
15x + 5 < 12x + 6
3x < 1
x < [tex]\frac{1}{3}[/tex] of [tex]1^{st}[/tex] week ( x ∈ [0, 1) )⇒ Tom will have more money in his account than Larry at time they open their accounts.
what expression is equivalent to (2.1x+4.3) - (-3x-7)
The cost of a car rental is $30per day plus per mile. You are on a daily budget of $75. Write and solve an inequality to find the greatest distance you can drive each day while staying within your budget. Use pencil and paper. Find 2 other two-step inequalities with the same solutions.
Answer:
Step-by-step explanation:
Cost ≤ per day amount + daily mileage amount. * miles
75 ≥ 30 + daily mileage amount * miles
That's as far as I can take you. Two other equations are impossible without the daily mileage amount.
I can make one up. Suppose it is 75 cents a mile
75 ≥ 30 + 0.75 * x Subtract 30 from both sides
75 - 30 ≥ 0.75*x
40 ≥ 0.75*x Divide by 0.75
40/0.75 ≥ x
53.33 miles = x
Anything more and you are going over budget. Anything less is fine.
This is enough to get you started without knowing what the rate per mile is.
There are 13 books on a shelf. 5 of these books are new. The rest of them are used.
Answer:
So there is 8 old books
Step-by-step explanation:
Answer:
so 8 books are being used and 5 are new total of 13 :)
Step-by-step explanation:
What is the correct answer? Please hurry
Answer:
2.5m
Step-by-step explanation:
5/2 = 2.5
Iggy wants to purchase a six-cylinder sports car that costs $15,690. The dealer is offering either a $3,500 instant rebate or 20%-off discount. Which incentive should Iggy use to pay the lowest price for the car?
Step 1: Find the price after rebate.
$12,190
$12,490
$13,190
$12,552
HELP PLZ!! WILL MAKR BRAINLIEST
Answer:
See below
Step-by-step explanation:
The y-intercept is -5.5 as per graph
Taking two random points from the graph to find the slope:
(-1, -6) and (1, -5)Use slope formula: m = (y2 - y1)/(x2 - x1)
m = (-5 - (-6))/(1 - (-1)) = 0.5The line in slope-intercept form is (y = mx + b)
y = 0.5x - 5.5or
y = 1/2x - 11/2Answer:
i don’t think I understand.
Step-by-step explanation:
Please provide an explanation with your answer, thank you!
Answer:
the answer is c. because the awnser is 47.5 and round upto the nearest whole number si 50
Step-by-step explanation: if the yard stick is 3ft and the shadow is 4ft that means the shadow of the stick is 1ft longer than the stick itself.
so if the shadow of the flag pole is 20ft than you -1 and get 19 as shown "20 - 1 = 19" then it said the rope needs to be 2.5 times as long as the pole so you multply 19 by 2.5 as shown "19 x 2.5 = 47.5" round up its 50ft. so there you go hope it helped let me know
Please help with this
Answer:
dude your teacher is on crack
Answer:
option B (37)
Step-by-step explanation:
74÷2 (as it's half)= 37
XT= 37
Hope it helps!
Help hep help hep plz plz plz
Answer:
w=4
Step-by-step explanation:
The area of a rectangle is 20x^6y^4. The length of the rectangle is x^2y^3. What is the width of the rectangle?
Answer:
[tex]Width\ of\ the\ rectangle\ is\ 20x^4y[/tex]
Step-by-step explanation:
[tex]We\ know\ that,\\Area\ of\ a\ rectangle=Length*Width\\Here,\\Let\ the\ width\ of\ the\ rectangle\ be\ b\\20x^6y^4=x^2y^3b\\b=\frac{20x^6y^4}{x^2y^3} \\b=20x^{(6-2)}y^{(4-3)}\\b=20x^4y[/tex]