5c-4c+c=2c
Step-by-step explanation:
Since there is only addition and subtraction and no other operations, just work from left to right.
5c-4c = c
c+c=2c
Done!
Answer:
2c
Step-by-step explanation:
Because this whole equation consists of numbers with c's and addition and subtraction, you can just add and subtract as if they were regular numbers!
5c-4c+c
c+c
2c
Hope this helped!! :)
...............................
Answer:
[tex]2 \sqrt{10} [/tex]Option C is the correct option.
Step-by-step explanation:
√ 8 • √ 5
Calculate the product
[tex] = \sqrt{40} [/tex]
Simplify the radical expression
[tex] = \sqrt{2 \times 2 \times 10} [/tex]
[tex] = 2 \sqrt{10} [/tex]
Hope this helps...
Best regards!!
The cosine function reaches a value of 0 when x is equal to
Answer:
Step-by-step explanation:
The values of the cosine function are represented by the axis OX of the goniometric circumference (circumference centered at the origin and of radius 1). Therefore the cosine is zero for the 90º and 270º angles.
here are members on the board of directors for a certain non-profit institution. a. If they must elect a chairperson, first vice chairperson, second vice chairperson, and secretary, how many different slates of candidates are possible? b. If they must form an ethics subcommittee of four members, how many different subcommittees are possible?
Answer: 1320; 495
Step-by-step explanation:
Explanation is in the attachment file
18x + 18 = 17 What is the variable x and how do you get that answer?
Answer:
x = - 1/18
Step-by-step explanation:
Move all terms not containing x to the right side of the equation
Divide each term by 18 and simplify
The result can be shown in multiple forms
x = -1/18
Decimal form= -0.05
Answer: x=-1/18
Step-by-step explanation:
18x+18=17
you subtract 18 from both sides
18x=-1
then you divide by 18 on both sides
x=-1/18
what is 23/20 as a mixed number
Answer:
[tex]1\frac{3}{20}[/tex]
Step-by-step explanation:
'23' fits into '20' one time. So, '1' would be the whole number. We would be left over with '[tex]\frac{3}{20}[/tex]' as the remainder, so '[tex]\frac{3}{20}[/tex]' would be the fraction of the mixed number.
Put them together, and you get: [tex]1\frac{3}{20}[/tex]
The fraction is already in it's simplest form.
Brainilest Appreciated.
The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
We have to given that,
A number is,
⇒ 23 / 20
We can divide it for the mixed fraction as,
⇒ 23 / 20
20 ) 23 ( 1
- 20
--------------
3
Therefore, It can be written as,
⇒ 23 / 20 = 1 3/20
Thus, The solution for mixed fraction of number 23 / 20 is,
⇒ 23/20 = 1 3/20
Learn more about the divide visit:
https://brainly.com/question/28119824
#SPJ6
Your family used two full tanks ofgasoline on a road trip. Your car drives about 25 miles per gallon, andthe tank holds 12 gallons of gasoline.a. Find the approximate number of gallons of gasoline used on the trip.b. Find the approximate number of miles you drove on the trip.c. Calculate Assume gasoline costs $1.50 per gallon. How much didyou spend per mile on gasoline?d. Apply You have $20 to spend on gasoline for another trip. The trip is350 miles. You spend the same amount per mile on gasoline as onthe first trip. Do you have enough money for gasoline? Explain.
Answer:
a. 24
b.600
c.36
d. No
Step-by-step explanation:
a.You know the approximate number of gallons is about 24 gallons because each tank holds twelve and your family used 2 of them.
b. You know you drove about 600 miles. This is because you used 24 gallons And each gallon should get you 25 miles. multiply The 2 together to get 600 miles. Or you could set a thing like 1/25=24/x and solve for x.
c. It cost 36 dollars because each gallon is 1.5 and you used 24 gallons so mul the two together to get 36
d. First find the amount of gallons used by dividing 350 by 25 to get 14. Then multiply 14 by 1.5 to get 21. 21 is greater than 20 so you don’t have enough money.
URGENT PLEASE HELP
1. Use the rules of divisibility to check which of the following
numbers are multiples of (are divisible by) 2,3,4,5,6, 8, 9 and 10
a) 552
b) 315
c) 620
d) 426
AB is tangent to circle D. Find the value of x.
Answer:
c 15
Step-by-step explanation:
Tangent AB is tangent to circle D at point A. The angle made by a tangent to a circle and a radius of the circle at the point of tangency is a right angle. That means that angle is a right angle, and triangle ABD is a right triangle.
We can use the Pythagoren theorem.
a^2 + b^2 = c^2
x^2 + 20^2 = (x + 10)^2
x^2 + 400 = (x + 10)(x + 10)
x^2 + 400 = x^2 + 10x + 10x + 100
400 = 20x + 100
20x = 300
x = 15
Determine the solution to the following set of linear equations by using the graph below
a) 2x + y = 5
2x - 2y = 2
Answer:
(2,1)
Step-by-step explanation:
Well first we single out y or x in one of the equations,
we’ll use 2x + y = 5 and single out y.
2x + y = 5
-2x to both sides
y = -2x + 5
So we can plug in -2x + 5 into y in 2x - 2y = 2.
2x - 2(-2x + 5) = 2
2x + 4x - 10 = 2
combine like terms,
6x - 10 = 2
Communicarice property
+10 to both sides
6x = 12
divide 6 to both sides
x = 2
If x is 2 we can plug 2 in for x in 2x + y = 5.
2(2) + y = 5
4 + y = 5
-4 to both sides
y = 1
(2,1)
Thus,
the solution is (2,1).
Hope this helps :)
Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?
Complete question :
The table shows the total number of student applications to universities in a particular state over a period of 12 semesters. States base their decisions on data like this. Suppose they decide that if fewer than 200,000 students apply during 6 or more semesters, the state will make a special effort to promote university education. Using this data, what is the population proportion of semesters for which the number of student applications is less than 200,000?
Semester Student Applications (in thousands)
1 106
2 137
3 285
4 120
5 202
6 195
7 327
8 139
9 307
10 318
11 212
12 217
Answer:
42%
Step-by-step explanation:
Given the above data in thousand :
Proportion of students
1 - - - - 106, 000
2 - - - -137, 000
3 - - - - 285, 000
4 - - - 120, 000
5 - - - 202, 000
6 - - - 195, 000
7 - - - 327, 000
8 - - - 139, 000
9 - - - 307, 000
10 - - - 318, 000
11 - - -212, 000
12 - - - 217, 000
Therefore, proportion of semesters with student application below 200,000
= (Number of semesters below 200,000 / total number of semesters)
Semesters below 200,000 :
(106000, 137000, 120000, 195000, 139000) = 5
(5 / 12) = 0.416666
= 0.42
In terms of percentage :
0.42 * 100 = 42%
What is the vertex of y=-3x^2+6x+15? Help is much appreciated.
Answer:
(1, 18)
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
The area of a rectangular dining room is 20 square meters. It is 5 meters long. How wide is it?
Answer:
4 meters
Step-by-step explanation:
To do this you would need to know what the area of a rectangle is, it is base times width. So you already know the area so you would just divide it by 5 and you would get the width, which is 4 meters
The height of a right rectangular prism is 3 units greater than the length of the base. The edge length of the square base is x units.
Which expression represents the volume of the prism, in cubic units?
x3 + 9
x3 + 3x2
x3 + 3x + 3
x3 + 6x2 + 9x
Answer:
B. x^3 + 3x^2
Step-by-step explanation:
Volume of a rectangular prism=width * length * height
V=w*l*h
h=3 greater than the length of the base
h=x+3
Length of the base=x
Width=x
Substituting values into the formula
V=w*l*h
=(x)*(x)*(x+3)
Multiplying
=(x^2)(x+3)
=x^3 + 3x^2
Option B is the correct answer
The expression [tex]x^3 + 3x^2[/tex] represents the volume of the prism, in cubic units.
We have given that the,
The height of a right rectangular prism is 3 units greater than the length of the base.
The edge length of the square base is x units.
What is the volume of rectangular prism?[tex]Volume of a rectangular prism=width * length * height[/tex]
[tex]V=w*l*h[/tex] ......(1)
We have given that the
h=3 greater than the length of the base
and length of the base is x
Hence, [tex]h=x+3[/tex]
[tex]Length of the base=x[/tex]
[tex]Width=x[/tex]
Substituting values l h and w into the formula (1) we get,
[tex]V=w*l*h[/tex]
[tex]=(x)*(x)*(x+3)[/tex]
[tex]=(x^2)(x+3)[/tex]
[tex]=x^3 + 3x^2[/tex]
Therefore the expression
[tex]x^3 + 3x^2[/tex]
represents the volume of the prism, in cubic units.
To learn more about the volume of the prism visit:
https://brainly.com/question/23963432
first person to answer what 4585 times 5645 CORRECT first gets brainiest
Answer: 25882325
Step-by-step explanation:
Simply do 4585*5645 in a calculator.
hope it helps <3
Answer:
Hey there!
The answer is 25882325.
Hope this helps :)
find the value of x and y if the distance of the point (x,y) from (-2,0) and (2,0) are both 14 units.
Answer:
[tex] (0, 8\sqrt{3}) [/tex] and [tex] (0, -8\sqrt{3}) [/tex] are both 14 units from points (-2, 0) and (2, 0).
Step-by-step explanation:
distance formula
[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We want the distance, d, from points (-2, 0) and (2, 0) to be 14.
Point (-2, 0):
[tex] 14 = \sqrt{(x - (-2))^2 + (y - 0)^2} [/tex]
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
Point (2, 0):
[tex] 14 = \sqrt{(x - 2)^2 + (y - 0)^2} [/tex]
[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]
We have a system of equations:
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{(x - 2)^2 + y^2} = 14 [/tex]
Since the right sides of both equations are equal, we set the left sides equal.
[tex] \sqrt{(x + 2)^2 + y^2} = \sqrt{(x - 2)^2 + y^2} [/tex]
Square both sides:
[tex] (x + 2)^2 + y^2 = (x - 2)^2 + y^2 [/tex]
Square the binomials and combine like terms.
[tex] x^2 + 4x + 4 + y^2 = x^2 - 4x + 4 + y^2 [/tex]
[tex] 4x = -4x [/tex]
[tex] 8x = 0 [/tex]
[tex] x = 0 [/tex]
Now we substitute x = 0 in the first equation of the system of equations:
[tex] \sqrt{(x + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{(0 + 2)^2 + y^2} = 14 [/tex]
[tex] \sqrt{4 + y^2} = 14 [/tex]
Square both sides.
[tex] y^2 + 4 = 196 [/tex]
[tex] y^2 = 192 [/tex]
[tex] y = \pm \sqrt{192} [/tex]
[tex] y = \pm \sqrt{64 \times 3} [/tex]
[tex] y = \pm 8\sqrt{3} [/tex]
The points are:
[tex] (0, 8\sqrt{3}) [/tex] and [tex] (0, -8\sqrt{3}) [/tex]
The Venn diagram shows the results of two events resulting from rolling a number cube.
Answer:
Option B.
Step-by-step explanation:
From the given venn diagram it is clear that
[tex]A={1,2}[/tex]
[tex]B={1,2,3,4,5,6}[/tex]
[tex]A\cap B={1,2}[/tex]
Since the intersection of A and B is non-empty, therefore by conditional probability
[tex]P(B|A)=\dfrac{P(A\cap B)}{P(A)}[/tex]
[tex]P(B|A)\cdot P(A)=P(A\cap B)[/tex]
[tex]P(A\cap B)=P(B|A)\cdot P(A)[/tex]
Therefore, the correct option is B.
A science club is raising money by selling t-shirts. The cost of producing the t-shirts is a one time 550 dollar design and set up fee plus 12
dollars per shirt. If they sell the t-shirts for $17.50 each, what is the minimum number of t-shirts the club can order and still make a profit?
Answer: not sure
Step-by-step explanation:
What the answer now question correct answer fast
v = 17 is your answer as an intergers or as a decimal rounded to the nearest tenth
Find the intercepts and graph the following linear equations: 2y − 6 = 0
The y-intercept is [tex](0,\frac{6}{2})=(0,3)[/tex] and there is no x-intercept since the equality can simplified to the point of obtaining a constant function [tex]y=3[/tex] which does not depend on x.
Hope this helps.
A box contains 4 white ribbons and 8 pink ribbons. Determine whether the events of picking a white ribbon and then another white ribbon without replacement are independent or dependent. Then identify the indicated probability.
a. independent; 1/11
b. dependent; 1/12
c. dependent; 1/11
d. independent; 1/12
Answer:
dependent, 1/11
Step-by-step explanation:
the probability of picking a white ribbon at first is 1/3
the probability of picking a white ribbon next is 3/11
1/3 * 3/11 = 3/33 = 1/11
it is dependent because picking the first ribbon affects picking the second.
If f(x)= x/2 -2 and g(x) = 2x² + x - 3, find (f + g)(x).
O A. x²-6
O B. 2x²+ 3/2x +1
O C. 2x² - x/2 +1
O D. 2x² + 3/2 x-5
Answer:
Step-by-step explanation:
Its d
ASAP!! Please help me. I will not accept nonsense answers, but will mark as BRAINLIEST if you answer is correctly with solutions.
Answer:
Domain > 0, Range C(x) > 2
Step-by-step explanation:
x is the distance, distance is always large than 0 => x > 0
=> Domain x > 0
Multiply both sides by 0.75
=> 0.75x > 0
Add both sides by 2
=> 0.75x + 2 > 0 + 2
=> 0.75x + 2 > 2
=> Range C(x) = 0.75x + 2 > 2
44. The length of a road is 380 m, correct to the nearest 10 m. Maria runs along this road at an average speed of 3.9 m/s. This speed is correct to 1 decimal place. Calculate the greatest possible time taken by Maria.
Answer:
The greatest possible time taken by Maria is 97.4 seconds.
Step-by-step explanation:
The greatest possible time taken by Maria occurs when she moves at constant rate and is equal to the length of the road divided by the length of the road. That is to say:
[tex]t = \frac{\Delta s}{v}[/tex]
Where:
[tex]\Delta s[/tex] - Length of the road, measured in meters.
[tex]v[/tex] - Average speed, measured in meters per second.
Given that [tex]\Delta s = 380\,m[/tex] and [tex]v = 3.9\,\frac{m}{s}[/tex], the greatest possible time is:
[tex]t = \frac{380\,m}{3.9\,\frac{m}{s} }[/tex]
[tex]t = 97.4\,s[/tex]
The greatest possible time taken by Maria is 97.4 seconds.
A car can go from rest to 90 km⁄h in 10 s. What is its acceleration?
Answer:
2.5 m/s^2
Step-by-step explanation:
Answer:
2.5 m/s²
Step-by-step explanation:
First, convert to SI units.
90 km/h × (1000 m/km) × (1 h / 3600 s) = 25 m/s
a = Δv / Δt
a = (25 m/s − 0 m/s) / 10 s
a = 2.5 m/s²
∆ABC is an equilateral triangle. Find the angle of rotation that maps A to B.
Plz give an explanation and correct answer to get brainliest
Answer:
120
Step-by-step explanation:
Know that in a rotation, unless stated otherwise, it's always going clockwise. Knowing this, you'd only have to turn your triangle one time, and since its interior angles are 120 each, your answer is 120. Hope this helps!
Find the dimensions of a deck which will have railings on only three sides. There is 28 m of railing available and the deck must be as large as possible.
Answer:
2x2x7
Step-by-step explanation:
3 3/8 divided by 9 =
Answer:
0.375
Hope this helps....
Have a nice day!!!!
Answer:
3/8
Step-by-step explanation:
Hey there!
[tex]\frac{3}{8} = \frac{3*8+3}{8} = \frac{24 + 3}{8} = \frac{27}{8}[/tex]
[tex]\frac{27}{8} = \frac{27 / 9}{8} = \frac{3}{8}[/tex]
= 3/8
Hope this helps :)
Antonio's toy boat is bobbing in the water next to a dock. Antonio starts his stopwatch, and measures the vertical distance from the dock to the height of the boat's mast, which varies in a periodic way that can be modeled approximately by a trigonometric function. The vertical distance from the dock to the boat's mast reaches its highest value of -27 \text{ cm}−27 cmminus, 27, space, c, m every 333 seconds. The first time it reaches its highest point is after 1.31.31, point, 3 seconds. Its lowest value is -44\text{ cm}−44 cmminus, 44, space, c, m. Find the formula of the trigonometric function that models the vertical height HHH between the dock and the boat's mast ttt seconds after Antonio starts his stopwatch. Define the function using radians.
Answer:
Step-by-step explanation:
Since we're given a time at which the height is maximum, we can use a cosine function for the model.
The amplitude is half the difference between the maximum and minimum: (-27 -(-44))/2 = 8.5 cm.
The mean value of the height is the average of the maximum and minimum: (-27 -44)/2 = -35.5 cm.
The period is given as 3 seconds, and the right shift is given as 1.31 seconds.
This gives us enough information to write the function as ...
H(t) = (amplitude)×cos(2π(t -right shift)/period) + (mean height)
H(t) = 8.5cos(2π(t -1.31)/3) -35.5 . . . . cm
1 less than a doubled number is equivalent to 5 more than 3 lots of the number
Answer:
the number is -6 (assuming "3 lots of" means 3 times)
Step-by-step explanation:
Let the number be x
1 less than a doubled number
2x-1
5 more than 3 lots of (times???) the number
3x+5
Solve for x
2x-1 = 3x + 5
-x = 5+1
x = -6
ASAP PLEASE IM BEHINF AND NEED TO SUMBIT ALL WORK BY 12!!!!!!!!!
Which number line shows the graph of x 11?
Answer:
see below
Step-by-step explanation:
x ≥11
Since there is an equals sign we have a closed circle at 11
X is greater so the line goes to the left
Answer: The second graph
Step-by-step explanation: X must be greater than 11 and the filled in circle means it could also be 11.
