Given:
Consider the given expression is:
[tex]\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}[/tex]
To find:
The value of the given expression for [tex]a=3, b=-2, c=-4[/tex].
Solution:
We have,
[tex]\dfrac{2c-a}{3c+b}-\dfrac{5a+4c}{c-a}[/tex]
Substituting [tex]a=3, b=-2, c=-4[/tex], we get
[tex]\dfrac{2(-4)-(3)}{3(-4)+(-2)}-\dfrac{5(3)+4(-4)}{(-4)-(3)}[/tex]
[tex]=\dfrac{-8-3}{-12-2}-\dfrac{15-16}{-4-3}[/tex]
[tex]=\dfrac{-11}{-14}-\dfrac{-1}{-7}[/tex]
[tex]=\dfrac{11}{14}-\dfrac{1}{7}[/tex]
Taking LCM, we get
[tex]=\dfrac{11-2}{14}[/tex]
[tex]=\dfrac{9}{14}[/tex]
Therefore, the value of the given expression for [tex]a=3, b=-2, c=-4[/tex] is [tex]\dfrac{9}{14}[/tex].
Which of the lines that appear in the graph would be parallel to a line with a slope of 3 and a y intercept at 0,3
Answer:
Line AB
Step-by-step explanation:
The line is on crosses thru the exact points so its right.
cual es el perimetro de 12 cm de ancho y 22 de largo
es para hoy
Answer:
Perimeter of figure = 68 centimeter
Step-by-step explanation:
Given information:
Width of side = 12 centimeter
Length of side = 22 centimeter
Find:
Perimeter of figure
Computation:
Perimeter of rectangle = 2[l + b]
Perimeter of figure = 2[Width of side + Length of side ]
Perimeter of figure = 2[12 + 22]
Perimeter of figure = 2[34]
Perimeter of figure = 68 centimeter
A phone company charged $67 for monthly access and $14 for each gigabyte of data used. If you sign a two-year contract and use 147.5 gigabytes of data, which value is the closest approximation to the total amount you will pay for phone service?
A. $2,700
B. $2,900
C. $3,400
D. $4,400
Evan wants to make an array of 32 miniature cars. What are all the different ways Evan can place the cars?
Answer:
6
Step-by-step explanation:
An array will have would constitute the shape of a parallelogram, in which you are essentially solving for s₁ and s₂. Note that there are 32 miniature cars in all, in which both sides, when multiplied, must result in said number:
32 x 1 = 32
2 x 16 = 32
4 x 8 = 32
8 x 4 = 32
16 x 2 = 32
1 x 32 = 32
There are 6 ways for Evan to create a array of 32 miniature cars.
~
CAN SOMEONE HELPPPPPP PLEASE?!??!!!!?
what similarity statement can you write relating the three triangles in the diagram?
Answer: Option C, UVW ~ UWT ~ WVT
Find the equation of the line that is perpendicular to the line
y = x-9 and passes through the point (7,9).
Answer:
[tex]y=-x+16[/tex]
Step-by-step explanation:
Hi there!
What we need to know:
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when x is 0)Perpendicular lines always have slopes that are negative reciprocals (ex. 3 and -1/3, 5/6 and -6/5, etc.)1) Determine the slope (m)
y=x-9
Rewrite the equation
y=1x-9
Now, we can identify clearly that the slope of the line is 1. The negative reciprocal of 1 is -1, so therefore, the slope of a perpendicular line would be -1. Plug this into [tex]y=mx+b[/tex]:
[tex]y=-1x+b\\y=-x+b[/tex]
2) Determine the y-intercept (b)
[tex]y=-x+b[/tex]
Plug in the given point (7,9) and solve for b
[tex]9=-7+b[/tex]
Add 7 to both sides to isolate b
[tex]9+7=-7+b+7\\16=b[/tex]
Therefore, the y-intercept is 16. Plug this back into [tex]y=-x+b[/tex]:
[tex]y=-x+16[/tex]
I hope this helps!
What is the solution to the system of equations graphed below
Answer:
A
Step-by-step explanation:
The solution to a system of equations given graphically is at the point of intersection of the 2 lines.
The lines intersect at (- 1, - 1 ) ← solution → A
if a dice is rolled 240 times how many times do you think it will land on each number?
Answer:
being they all have the same amount of chances to be rolled on the same amount i would say 40
Step-by-step explanation:
Which of the following equations could be used to find the value of 3,550 ÷ 25?
A. (3,000 + 500 + 50) ÷ 25 = 140
B. (550 + 20) ÷ (3,000 + 5) = 140
C. (3,000 + 500 + 50) ÷ 25 = 142
D. (300 + 50 + 5) ÷ 25 = 142
E. (3,000 ÷ 25) + (550 ÷ 25) = 142
F. (550 ÷ 20) + (3,000 ÷ 5) = 140
Answer:
A is correct answer
Step-by-step explanation:
[tex](3000 + 500 + 50) \div 25 \\ [/tex]
[tex](3550) \div 25[/tex]
[tex] = = > 3550 \div 25[/tex]
Thanks
Don't forget to tell the name of your country.
A group of friends wants to go to the amusement park. They have $363 to spend on
parking and admission. Parking is $5.50, and tickets cost $35.75 per person,
including tax. How many people can go to the amusement park?
Answer:
10 people can go to the amusement park
Step-by-step explanation:
363 - 5.50 = 357.5
357.5 / 35.75 = 10
If 3 is added to three quarters of certain number,the result is 30.Find the original number If 3 is added to three quarters of a certain number, the result is 30. Find the original number
Answer:
[tex]x=36[/tex]
Step-by-step explanation:
From the question we are told that:
[tex]3+\frac{3}{4}x=30[/tex]
Therefore
Making x subject
[tex]x=\frac{4}{3}(30-3)[/tex]
[tex]x=\frac{4}{3}(27)[/tex]
[tex]x=36[/tex]
a right triangle has legs of lengths 7 and 2, what is the length of the hypotenuse to the nearest tenth
Answer:
hypotenuse = 7.3
Step-by-step explanation:
here 7 and 2 are the legs og the right triangle .we should find hypotenuse.
let the legs of the right triangle be a nd b respectively . And c be hypotenuse
using pythagoras theorem to find hypotenuse
a^2 + b^2 = c^2
7^2 + 2^2 = c^2
49 + 4 = c^2
53 = c^2
[tex]\sqrt{53}[/tex] = c
7.28 = c
7.3 =c
Answer:
7.3
Step-by-step explanation:
[tex]7^{2} + 2^{2} = x^{2} \\ 53 = x^{2}\\\sqrt{53} = \sqrt{x^{2}} \\x = 7.3[/tex]
How many solutions exist for the system of equations below?
Answer:
No solution or none
Step-by-step explanation:
3x+y=18 equation 1
3x+y=16 equation 2
-3x-y=-18 multiply equation 1 by -1
0=-2 add above 2 equations
no solution or none
Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?
Answer:
4.50+.75d=7.50+.65d
Step-by-step explanation:
Y=4.50+.75d equation 1
y=7.50+.65d equation 2
4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1
.10d=3.00 simplify equation
d=30
check answer by subbing 30 for d into each equation.
y=4.50+.75(30)
y=4.50+22.50
y=27
y=7.50+.65(30)
y=7.50+19.50
y=27
both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent
Find an equation for the perpendicular bisector of the line segment whose endpoints are
(−1,−7) and (5,−3).
Answer:
y = -2/3x - 11/3
Step-by-step explanation:
what is the answer to this math question?
Answer:
answer is 230
Step-by-step explanation:
they need more than 800 so u take 800-571 which is 229 u then add one because u need at least one more than 800 which is 230.
Answer:
230.
Step-by-step explanation:
You need more than 800 so you take 800 and talk away 71 which is 229, and then add 1 because you need at least one more than 800 , and you get an answer 230.
Which equation represents "the sum of eight times a number and seven is twice the number"?
8N + 7 = 2N
8N = 7 + 2N
8 (7 + 2N)
7N + 8 = 2N
Directions: Solve for x. Round your answer to the nearest tenth. Make sure you calculator
is in degree mode!
11
35
Answer:
its 10 because chu papi munenu
Someone help me with these :( hurry pls
Answer:
1) "fake numbers" do not exist but there are irrational numbers
2) We have negative numbers to help us understand the number system better. We need negative numbers in graphing.
pq(r²-1)-r(p²+q²) factorize
Answer:
pqr2-pq-p2r-rq2 is the answer
Answer:
Step-by-step explanation:
pq(r^2 - 1) - r(p^2 + q^2)
multiply the brackets
=pq*r^2 - pq*1 - r*p^2 - r*q^2
=pqr^2 - pq - rp^2 - rq^2
=pqr^2 -rp^2 -rq^2 -pq
What number is 16% of y?
Answer:
0.16y
Step-by-step explanation:
16% of y is found by substituting 0.16 for 16% and then multiplying y by 0.16:
0.16y
PLS ANSWER ASAP DUE 9:35
Answer:
c) 72
hope this helps!
please give brainiest<3
Answer:
72
Step-by-step explanation:
Substitution:
4^3 + 4 x 6 - 16
64+24-16=72
Can anyone help me on this I would appreciate it
Answer:
14
Step-by-step explanation:
Triangle=180
180-90 (RA) = 90
90-41= 39
(2x+11)=39
2x=28
x=14
Two boys and 3 girls were selected for the finals of a dance contést. One of the three different prizes marked A. B and C will be randomly awarded to the 5 contestants whose name is selected to win. Find the probability that the boy will win the prize marked B?
Answer:
2 boys and 3 girls were selected for the finals.
There are 3 prizes, A, B, and C (assigned in order, I suppose) assigned randomly to the five contestants.
We want to find the probability that a boy wins the prize B.
So here we have two cases:
A girl wins the first prize, A, and a boy the prize B.
The probability that a girl wins the prize A is equal to the quotient between the number of girls and the total number of contestants, this is:
p = 3/5
Next, the probability that a boy wins the prize B, is equal to the quotient between the number of boys and the total number of contestants (that now is 4, because a girl already won prize A).
q = 2/4
The joint probability is:
P = p*q = (3/5)*(2/4) = 6/20 = 3/10
Now we have the other case, where a boy wins the prize A and the other boy wins prize B.
The probability that a boy wins prize A is equal to the quotient between the number of boys and the total number of contestants, this is:
p = 2/5
The probability that the other boy wins prize B is equal to the quotient between the remaining number of boys (1) and the total number of contestants (now 4), this is:
q = 1/4
The joint probability is:
P' = p*q = (2/5)*(1/4) = 2/20 = 1/10
The total probability is the sum of the probabilities for the two cases, this is:
Probability = 1/10 + 3/10 = 4/10
(note that because the prize C is assigned after prize B, its existence does not affect the probability for the previous event, as expected)
Select the correct answer.
For the next five years, a dairy company wants to increase its
(PLEASE HELP 30 POINTS!!!)
daily milk processing capacity (in gallons) by the equation y = x6 – 9** + 70x2
where x is the number of years. How many years will it take until the company can process 630 gallons of milk in a day?
answer choices
OA. 2 years
ОВ.3 years
OC. 4 years
OD.5 years
Answer:
5 years
Step-by-step explanation:
To determine the number of years needed for the company to process a certain amount of milk, we use the given function which relates the number of years, x, and the gallons of milk, y. We simply substitute the number of gallons to y and solve for x.
y = x^6 − 9x^4 + 70x^2
630 = x^6 − 9x^4 + 70x^2
Solving for x, we will have
x = 4.8866 years or approximately 5 years
Hope this answer helps you :)
Have a great day
Mark brainliest
A bag contains 5 red marbles, 4 blue marbles and 7 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be green?
Answer:
.094
Step-by-step explanation:
5/11 is .455
11 total marbles 5 are green
but thats the probability of just one draw
so .455 x .455 x .455 is .094 for three separate draws
4
7
of students at a school are boys. If there are 2184 students at the school, how many are girls?
Answer:
936 girls at the school
Step-by-step explanation:
4/7 of 2184 = 1248
2184-1248 = 936
Happy learning! Please mark brainliest!
--Applepi101
Find the area of the shaded sector
Answer:
888
Step-by-step explanation:
Im pretty sure this is the answer, if helpful please mark me as brainiest :>
Helpppppppppppppp!!!!!!!!!
Answer:
both 2 and -2
Step-by-step explanation:
Substitute 4 for r(x) on the given equation.
[tex]4=x^2[/tex]
[tex]\sqrt{4} =\sqrt{x^2}[/tex]
[tex]x=2[/tex]
[tex]x=-2[/tex]
