Answer:
7/8
Step-by-step explanation:
In a full set of permanent teeth, 1/4 of the teeth are incisors, 1/4 are premolars, and 3/8 are molars. What fraction of all the teeth are incisors, premolars, and molars?
To solve the above, we add all the fractions together.
= Incisors + Premolars + Molars
= 3/8 + 1/4 + 1/4
Least Common Denominator = 8
= (3 × 1 + 2× 1 + 2 × 1)/8
= 3 + 2 + 2/8
= 7/8
Hence, the fraction of all the teeth are incisors, premolars, and molars is 7/8
Solve for n, 4 x n = 7 x 16
Answer:
n=28
Step-by-step explanation:
Do I have to explain how i got the answer?
Answer:
4n=112
n=112/4
n=28
Step-by-step explanation:
Please give me brainliest, if I helped you
Kathryn owns a video store. She rents games for 4 and moves for 4 She must rent at least 84 to make a profit She does not have anymore than 20 games Write and solve the system
Answer:
Katherine will rent at least 64 movies and 20 games to make a profit
Step-by-step explanation:
The given parameters are;
The amount for which she rents games = 4
The amount for which she rents movies = 4
The number of games and movies she most rent to make profit = 84
The number of games she ≤ 20
Let x represent the number of games, let y represents the number movies, we have;
x + y ≥ 84
x ≤ 20
64 ≤ y ≤ 84
The graph of the inequality created with Microsoft Excel showing the feasible region is included
i need help no this
Answer:
a) 0.8
b) 0.075
c) 0.04
d) 3.3125
Step-by-step explanation:
To find the decimal of a fraction, just divide.
And if it's a mixed number, first turn it into an improper fraction. For 3 5/16 multiply 3 by 16 then add the product to 5. It would be 53/16
2(-6m - 3) =6(5m - 1) please show work what is m ?
Answer: m=0
Step-by-step explanation: simplify each individual expression first. The left side of the equation is equal to -12m-6, and the right side is equal to 30m-6. Then together, it equals to -12m-6=30m-6. The -6 cancel each other out. M=0
Write an informal proof to show triangles ABC and DEF are similar. Please don’t answer if you don’t know!!
Answer:
ΔABC ~ ΔDEF
Step-by-step explanation:
If the given triangles ΔABC and ΔDEF are similar,
Their corresponding sides will be proportional.
[tex]\frac{\text{AB}}{\text{DE}}=\frac{\text{BC}}{\text{EF}}=\frac{\text{AC}}{\text{DF}}[/tex]
By substituting the measures of the given sides,
[tex]\frac{4}{2}=\frac{6}{3}=\frac{2}{1}[/tex]
2 = 2 = 2
Since, corresponding sides of both the triangles are proportional, both the triangles will be similar.
ΔABC ~ ΔDEF
While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100
km/hr. She asks you if you know how fast you were driving. You suddenly realize that your
speedometer's "100" measures miles/hr, not km/hr. How fast were you going?
Answer:
Speeding at 160.934 km/hr
Step-by-step explanation:
1 mile = 1.609344 kilometers
1.609344 * 100 = 160.934 kilometers
in order to solve for x which trig function would be used cosine sine or tangent
Answer:
Cosine
Step-by-step explanation:
I took the test
In order to solve for x , we use the trigonometric function cosine
What are trigonometric relations?
Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles
The six trigonometric functions are sin , cos , tan , cosec , sec and cot
Let the angle be θ , such that
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent
tan θ = sin θ / cos θ
cosec θ = 1/sin θ
sec θ = 1/cos θ
cot θ = 1/tan θ
Given data ,
Let the triangle be ΔABC , where ∠B = 90°
Let the side AB be x
So , the adjacent side = x
The angle of the triangle ∠A is = 72°
So , θ = 72°
The hypotenuse AC = 8
And , by trigonometric relations , we get
cos θ = adjacent / hypotenuse
Substituting the values in the equations , we get
cos 72° = x / 8
Multiply by 8 on both sides , we get
x = cos 72° × 8
Now , cos 72° = 0.30901
Substituting the value of cos 72° , we get
x = 0.30901 × 8
x = 2.472
Hence , the value of x is determined by cosine function
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in the equation (m^5/6) (m^1/6)^7 = m^x , what is the value of x that makes the equation true?
The value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
What is the law of exponent?The exponents of numbers are added when the numbers are multiplied, subtracted when the numbers are divided, and multiplied when raised by still another exponent: a^m×a^n = a^(m+n); a^m÷a^n = a^(m−n);
(am)ⁿ = a^mn.
Given an equation, (m^5/6) (m^1/6)^7 = m^x
Using the law of exponent, we get,
(m^5/6) (m^1/6)^7 = m^5/6*m^7/6
= m^(5/6+7/6)
= m^12/6
= m^2
Hence, the value of x in the equation (m^5/6) (m^1/6)^7 = m^x is 2
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There are 180 white lockers in the school. There are 3 white lockers for every 5 blue locker. How many lockers are in the school?
Answer:
There are 480 lockers in school.
Step-by-step explanation:
480
Step-by-step explanation:
180÷3=60
60x5=300
300+180=480
How many solutions does the nonlinear system of equations graphed below
have?
A man wants to cut down a tree in his yard. To ensure that the tree doesn’t hit anything he needs to know the height of the tree. He measures his distance from the tree at 18 meters and the angle of elevation to the tree at 80 degrees. What is the height of the tree to the nearest tenth of a meter?
Answer:
[tex]\boxed {\boxed {\sf 102.1 \ meters}}[/tex]
Step-by-step explanation:
Let's assume the tree forms a right angle with the ground.
The distance from the tree to the man is 18 meters. The angle of elevation, which is 80 degrees, is the angle from where the man is to the top of the tree. We want to find the height of the tree, which we can call x.
Let's draw a diagram. (not to scale)
We can use sine (opposite/hypotenuse), cosine (adjacent/hypotenuse) or tangent (opposite/adjacent). We base the sides off of the elevation angle.
x is opposite the elevation angle and 18 is adjacent to the angle. So, we must use tangent.
[tex]tan(\theta)=opposite/adjacent[/tex]
The angle (θ) is 80. The opposite is x. The adjacent is 18.
[tex]tan(80)=x/18[/tex]
Now, solve for x by isolating it.
x is being divided by 18. The inverse of division is multiplication. Multiply both sides of the equation by 18.
[tex]18*tan(80)=x/18*18[/tex]
[tex]18*tan(80)=x[/tex]
[tex]18*5.67128182=x[/tex]
[tex]102.0830728=x[/tex]
Round to the nearest tenth. The 8 in the hundredth place tells us to round up.
[tex]102.1\approx x[/tex]
The height of the tree is about 102.1 meters.
**diagram is not to scale
The y-intercept of a parabola is 1, and its vertex is at (1,0). What function does the graph represent?
A.
f(x) = (x − 1)2
B.
f(x) = (x + 1)2
C.
f(x) = -1(x − 1)2
D.
f(x) = -1(x + 1)2
Answer: A. f(x) = (x - 1)²
Step-by-step explanation:
Round each decimal to the nearest tenth
4. 13.392
5. 27.149
6.8.84858
Help!!
Answer:
13.4
27.1
8.8
Step-by-step explanation:
hope that helps
10. An electric scooter manufacturer estimates that the cost C in dollars) of producing x
scooters is given by C(x) = 600+ 0.05x + 0.0002x%. Find the production level, to the nearest
unit, that will minimize the average cost Č(x) per unit.
A. 1733 scooters
B.
1250 scooters
C. 600 scooters
D.
1500 scooters
Answer:
A. 1733 scooters
Step-by-step explanation:
To get x for minimum value of C bar, set derivative = 0
We Find our x.
C(x) = 600+ 0.05x + 0.0002x^2
We need average cos per unit
So divide by x both sides
C(x) / x = 600/x + 0.05x + 0.0002x
c(x)/c = Ç(x)
Therefore, Ç(x) = 600/x + 0.05x + 0.0002x
Now differentiate both side with x
dÇ(x)/dx = 600/x^2 + 0 + 0.0002
To find x for minimum Ç(x)
Set dÇ(x)/dx = 0 => -600/x^2 + 0.0002 = 0
=> x^2 = 600/0.0002
x^2 =3000000
x = √3000000
x = 1732.05
x = 1733
3 3/10 ÷ 1 4/7?
erdtcfyvghb (random stuff, it claims my question is too short. ignore this part!)
Answer:
2 1/10 would be your answer
Answer:
The answer is 21/10 or 2.1
what is the slope of the line that passes through the points (2,1) and (17,-17)
hi
You have two points A ( X;Y) and B ( X ; Y)
slope is : ( Yb -Ya) / (Xb -Xa )
A(2 ; 1) and B (17 ; - 17)
so : (-17 - 1 ) / (17 -2) = -18/ 15 = - 6*3 / 5*3 = -6/5
Tell what number you would add to each side of the inequality to solve the inequality.
f-2 ≤ 3
Add ___ to each side of the inequality
Answer: Add 2 to each side
We do this to undo the "minus 2" or "subtract 2" that is happening to the variable f. Addition is the opposite of subtraction.
Solving that inequality leads to [tex]f \le 5[/tex] meaning f can be 5 or smaller.
Which ordered pair is a solution of this
equation?
3x - 7y = 28
Answer:
(0,-4)
Step-by-step explanation:
I plugged in 0 for x.
3(0)-7y=28
-7y=28
y=-4
Consider function f.
f(x)= x^3 + 2x^2 - 5x - 6
Select the locations of the zeros of function f on the coordinate plane. Then select the end behavior of its graph.
Answer:
x = 2, x = -1, x = -3As x approaches negative infinity, f(x) approaches negative infinityStep-by-step explanation:
Given function
f(x)= x^3 + 2x^2 - 5x - 6Finding zero's
x^3 + 2x^2 - 5x - 6 = 0x^3 - 2x^2 + 4x^2 - 8x +3x - 6 =(x - 2)(x^2 + 4x + 3) = (x - 2)(x^2 + x + 3x + 3) = (x - 2)(x(x + 1) + 3(x + 3)) =(x - 2)(x + 1)(x + 3)Zero's are
x = 2, x = -1, x = -3See the graph attached
Correct end behavior as per graph:
As x approaches negative infinity, f(x) approaches negative infinityAnswer:
As x approaches negative infinity, f(x) approaches negative infinity
Step-by-step explanation: Plato
Given the following sequence and an-1 = 12, what is an?
2, 7, 12, 17,...
Answer:
12
Step-by-step explanation:
[tex]a_{n-1}=12\\\\
Plug\: n = n + 1\\\\
a_{n+1-1}=12\\\\
\huge \red {\boxed {a_{n}=12}} \\\\[/tex]
Jason is flying a kite and has 325 feet of kite string out. The angle of elevation between Jason’s hand and the kite string is 58˚. Jason’s hand is 3 feet above the ground. How high is the kite to the nearest tenth?
i need this asap pls
Answer:
The height of the kite is approximately 278.6 feet
Step-by-step explanation:
The length of Jason's Kite string, l = 325 feet
The angle of elevation of the kite string, θ = 58°
The height of Jason's hand, h = 3 feet above the ground
Therefore, we have;
The height of the kite = The vertical component of the length of the kite string + The height of Jason's hand above the ground
The height of the kite = l × sin(θ) + h
Substituting the values, we get
The height of the kite = 325 × sin(58°) + 3 ≈ 278.6 (which is obtained by rounding the answer to the nearest tenth)
The height of the kite ≈ 278.6 feet.
1. What is the value of this expression when c = 4?
4C+ 3c- 2c
Answer:
20
Step-by-step explanation:
4(4)+3(4)-2(4)=20
how do you find the value of √a⁴ ??
(ill give brainliest)
Answer:
[tex]a^{2}[/tex]
Step-by-step explanation:
√a^4 is the same as:
√a × √a × √a × √a
group them as 2 pairs of
(√a × √a) × (√a × √a)
which makes
a × a
which is the same as [tex]a^{2}[/tex]
Linda's account has a balance of −$45.50. If she owes the bank more than $30, her account gets closed. Which of the following is true about Linda's account?
Answer:
There's no options but it will get closed
Step-by-step explanation:
Answer:
Step-by-step explanation:
-75.5
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h. Which statement is correct? A. For every hour the car is parked, the cost increases by $10. B. For every hour the car is parked, the cost increases by $5. C. For every hour the car is parked, the cost increases by $20. D. For every hour the car is parked, the cost increases by $15.
Answer:
For every hour the car is parked, the cost increases by $5.
Step-by-step explanation:
The cost, in dollars, of parking a car in a busy downtown area for h hours is $15 + $5h.
The fixed cost for the parking is $15. Here, $5 is extra. It increases as the number of hours increases. For every hour, the cost increases by $5. Hence, the correct statement for the given problem is (C) "for every hour the car is parked, the cost increases by $5".
Find the cost with sales tax for an item with a purchase price of $7. Assume that the sales tax is 8%, or 0.08 times the price.
Group of answer choices
Answer:
$7.56
Step-by-step explanation:
$7(.08) = .56 in tax
$7 item cost + .56 in tax
3 4 (x−12)=12 whats the answer tehe
Answer:
x= 12 6/17
Step-by-step explanation:
Need help asap...,..........
Answer:
x2+ 16k+ 64= not factorable with rational numbers
x2+ 7x+ 10= (x+2)(x+5)
These are what I got from your picture, so don't quote me on this the picture wasn't the best.
A pair of supplementary angles have angle measures of angle a (5n + 4) and angle b (50 - n)
Answer:
yeah for sure
Step-by-step explanation:
On a roadtrip, the distance driven can be represented by
the following equation
y = 152
where x is the number of gallons of gas.
What does the 15 represent?
15 represent the car travled 15 miles / gallons.
Distance is a scalar quantity that refers to "how much ground an object has covered" during its motion.
We have been given that -
y = 15 * x
Where y = the distance and
x = the number of gallons of gas to cover that distance.
A common unit of capacity in English-speaking countries, equal to four quarts, the U.S. standard gallon being equal to 231 cubic inches (3.7853 liters), and the British imperial gallon to 277.42 cubic inches (4.546 liters).
Consider the units:
y[miles] = 15[??] * x[gallons]
15[??] = y[miles] / x[gallons]
[??] = [miles] / [gallons]
So the units of the parameter 15 must be [miles / gallon] to convert the gallons to miles.
Therefore 15 represents the miles / gallon for the vehicle.
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