Answer:
k = 35, c = 65
Step-by-step explanation:
Solve the following system:
{c + k = 100 | (equation 1)
{11 c + 51 k = 2500 | (equation 2)
Swap equation 1 with equation 2:
{11 c + 51 k = 2500 | (equation 1)
{c + k = 100 | (equation 2)
Subtract 1/11 × (equation 1) from equation 2:
{11 c + 51 k = 2500 | (equation 1)
{0 c - (40 k)/11 = -1400/11 | (equation 2)
Multiply equation 2 by -11/40:
{11 c + 51 k = 2500 | (equation 1)
{0 c+k = 35 | (equation 2)
Subtract 51 × (equation 2) from equation 1:
{11 c+0 k = 715 | (equation 1)
{0 c+k = 35 | (equation 2)
Divide equation 1 by 11:
{c+0 k = 65 | (equation 1)
{0 c+k = 35 | (equation 2)
Collect results:
Answer: {c = 65 , k = 35
I NEED HELP NOW ASAP
Answer:
5 options : 2 correct options
: 3 wrong options
first answer : 2/5
second answer : 1/5-1
: 1/4
p( choosing correct answer)
= 2/5 × 1/4
= 1/10
Answer:
0.10
Step-by-step explanation:
hello,
there are 5 answers and 2 are correct
I choose a first answer - the probability to be a correct one is 2/5
then now, there are 4 left answers and only 1 left is correct
the probability to choose the correct one is 1/4
so in total the probability to choose the 2 correct answers out of 5 is
[tex]\dfrac{2}{5}*\dfrac{1}{4}=\dfrac{1}{10}[/tex]
which is 0.10
hope this helps
Find the surface area of the rectangular prism.
7 km
5 km
3 km
Answer:
142 km^3
Step-by-step explanation:
A=2(wl+hl+hw)
A=2(7*5+3*5+3*7)
A=142
Answer:
[tex]142km^{2}[/tex]
Step-by-step explanation:
you need to find the area of every side and then add them all together so
you do the equation
[tex]2[(7*5)+(3*5) + (7*3)][/tex]
I multiply everything by 2 because there is 2 of every side
once you solve this you get the answer of [tex]142km^{2}[/tex]
an arithmetic sequence has this recursive formula:
Answer:
Option D is the correct option.
please see the attached picture for full solution..
Hope it helps...
Good luck on your assignment...
Eddie is practicing wind sprints during his summer break. He’s able to run 72 meters in 12 seconds. If d represents distance and t represents time, which equation represents this proportional relationship?
Answer:
d=6t
Step-by-step explanation:
Divide 72 by 12 to know how much distance is traveled in every second.
So he travels 6 meters every second
A coordinate grid with 2 lines. One line, labeled f(x) passing through (negative 3, 3), (0, 3), and the point (4, 3). The other line is labeled g(x) and passes through (negative 4, negative 3), (0, 0), and the point (4, 3). Which input value produces the same output value for the two functions on the graph? x = −1 x = 0 x = 3 x = 4
Answer:
x = 4
Step-by-step explanation:
It is stated that f(x) passes through
(-3, 3), (0, 3), (4, 3)
and g(x) passes through
(-4, -3), (0, 0), (4, 3)
Therefore, both functions pass through (4, 3). That is, the input value x = 4 produces the same output value y = 3 for the two functions.
Answer:
d x =4
Step-by-step explanation:
Which equation can be used to find B in the triangle below? Right triangle A B C is shown. Side A B has a length of 6, side B C has a length of 10, and side A C has a length of 8. tangent B = Eight-tenths Tangent B = eight-sixths cosine B = Ten-sixths Cosine B = ten-eighths
Answer:
Tangent B = eight-sixths
Step-by-step explanation:
Data
AB: 6 unitsAC: 8 unitsFrom tangent definition:
tan(β) = opposite/adjacent
where β is some angle, and opposite and adjacent are the opposite and adjacent sides (or legs) to that angle.
In our case, B is the angle, opposite to angle B is side AC, and adjacent to angle B is side AB. Replacing with data:
tan(B) = AC/AB
tan(B) = 8/6
Answer:
B is the correct option here
Step-by-step explanation:
hope that this helps. Peace and love
Evaluate e4 to one decimal place.
Answer:
54.6
Step-by-step explanation:
When we plug e^4 into the calc, we get 54.5982, which we round to get our final answer.
In 2008 Stokely bought a condo that appreciated at a rate of 4% per year he bought the house for $240,000 he decided to sell it this year how much will he sell it for? What would be the Growth/decay rate, the independent variable, the dependent variable, the domain and range, and the starting point
Answer:
Step-by-step explanation:
Use the compound amount formula: A = P(1 + r)^t, where r is the annual interest rate as a decimal fraction, P is the initial amount of money, and t is the time in years. Then:
A = ($240,000)(1 + 0.04)^12 (that's 12 years past 2008)
= ($240,000)(1.04)^12 = $384,247.73
Growth rate: 4%, or 0.04
Independent variable: time (t)
Dependent variable: appreciated value of the house, A
Domain: [0, 30) (assuming that the house is sold within 30 years)
Range: [$240,000, infinity) (the house will never sell for an infinite price)
Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.
Passing through (-5, -7) and parallel to the line whose equation is y = - 4x + 4
Write an equation for the line in point-slope form.
Write an equation for the line in slope-intercept form.
About 3% of the population has a particular genetic mutation. 600 people are randomly selected.
Find the standard deviation for the number of people with the genetic mutation in such groups of 600. Round your answer to three decimal places
Answer:
Standard deviation for the number of people with the genetic mutation = 4.178
Step-by-step explanation:
Explanation:-
Given random sample size 'n' =600
proportion of the Population 'p'=3% or 0.03
Let 'X' be the random variable in binomial distribution
Mean of the binomial distribution
μ = n p
= 600 X 0.03
= 18
Mean of the binomial distribution ' μ ' =18
Standard deviation of the binomial distribution
σ = [tex]\sqrt{npq} = \sqrt{600 X 0.03 X 0.97} = \sqrt{17.46} = 4.178[/tex]
Conclusion:-
Standard deviation for the number of people with the genetic mutation = 4.178
What is the 8th term in the binomial expansion of (2x+1)^9?
Answer:
512 x 9 − 2304 x 8 + 4608 x 7 − 5376 x 6 + 4032 x 5 − 2016 x 4 + 672x 3 − 144 x 2 + 18 x − 1
Step-by-step explanation:
Which values of a, b, and c represent the answer in simplest form?
9 / 11 divided 5 / 11 = A B/C
a = 1, b = 99, c = 55
a = 1, b = 55, c = 99
a = 1, b = 4, c = 5
a = 1, b = 5, c = 4
3m = -18
please help!!!
Answer:
m = -6
Step-by-step explanation:
3m = -18 (Divide both sides by 3)
3m/3 = -18/3
m = -6
Answer:
m=-6
Step-by-step explanation:
3m=-18
Divide by 3 on each side.
3m/3=-18/3
m=-6
Complete the tasks to subtract the polynomials
vertically.
(1.32 +0.412 – 241) – (0.612 + 8 - 181)
What is the additive inverse of the polynomial
being subtracted?
-0.612 + (-8) + (-181)
-0.612 + (-8) + 18+
-0.612 + 8 - 181
0.612 + (-8) + 181
DONE
Answer:
The additive inverse of the polynomial being subtracted is -0.612-8+181
Step-by-step explanation:
Given expression : (1.32 +0.412 – 241) – (0.612 + 8 - 181)
Now the polynomial being subtracted : (0.612 + 8 - 181)
Additive inverse : The number in the set of real numbers that when added to a given number will give zero.
So, Additive inverse of 0.612 = -0.612
Additive inverse of 8 = -8
Additive inverse of -181 = 181
So, The additive inverse of polynomial being subtracted : -0.612-8+181
So, Option B is true
Hence the additive inverse of the polynomial being subtracted is -0.612-8+181
Given the polynomial function below, find F(-9).
F(x) = -x2 - 10x-2
O A. -173
O B. -11
O C. 7
O D. 169
Answer:
C. 7
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Function NotationStep-by-step explanation:
Step 1: Define
F(x) = -x² - 10x - 2
F(-9) is x = -9
Step 2: Evaluate
Substitute: F(-9) = -(-9)² - 10(-9) - 2Exponents: F(-9) = -(81) + 90 - 2Simplify: F(-9) = -81 + 90 - 2Add: F(-9) = 9 - 2Subtract: F(-9) = 7Please help asap 20 pts for the correct answer with correct explanation!
Answer:
42The rule is to multiply by 6.
[tex]-5 \times 6=-30\\0 \times 6=0\\7 \times 6=42[/tex]
It's strawberry season, so Monica wants to make strawberry jam. She buys all of the strawberries left at her local town market for a total of $25.50. If the strawberries cost $4.25 per quart, how many quarts does she buy?
Answer:
6
Step-by-step explanation:
25.5/4.25= 6
Answer: 6
Step-by-step explanation:
Which of the following is equal to 57%?
O A. 35
O B. 53
5.3
D. 15
(08.02)The coordinate grid shows the plot of four equations. A coordinate plane is shown with four lines graphed. Line A crosses the x axis at negative 1 and the y axis at negative 2. Line B crosses the x axis at negative 1 and the y axis at 2. Line C crosses the x axis at 1.5 and the y axis at negative 2. Line D crosses the x axis at 5 and the y axis at 5. Which set of equations has (1, 4) as its solution? A and D B and D A and C B and C
Answer:
B and D
Step-by-step explanation:
In the picture attached, the question is shown.
The graphical solution for a system of two equations is found at the intersection of the two lines. At point (1, 4) line B intersect line D, therefore this point is the solution of the set of equations B and D.
Given the figure below, find the values of x and z
Answer:
x=6 the angle =88
z=92
Step-by-step explanation:
find x
92+11x+22=180
114+11x=180
11x=180-114
x=66/11
x=6 the angle is 11(6)+22=66+22=88
find z=
z+88=180
z=180-88=92
Calculate the
portion for walking
in degrees.
[?]°
Sport
Soccer
Jogging
Walking
Skiing
Football
Total
Hrs
5
20
10
5
10
50
10 hrs.
Total Sport Hours
Answer:
110
Step-by-step explanation:
A taxi charges a $2 fee
Multiple choice please help
Answer:
d
Step-by-step explanation:
Let m = number of miles.
Each mile costs $2.35, so m miles cost 2.35m.
The flat fee is $2.
The total cost is
2.35m + 2
He can spend no more than $47, so he can spend $47 or less,
2.35m + 2 <= 47
Answer: d
What is the greatest common monomial factor of: 44k^5 - 66k^4 + 77k^3?
Answer:
11k^3 (4k^2 - 6k +7)
Hope this helps :)
can any one help. I'll mark brainliest
Answer:
3.5
Step-by-step explanation:
0+1+2+3+4+5+6+7=28
28/8=3.5
Please answer if you know
5y^2 - 2 = 3y
Answer:
y= -2/5 and y=1
Step-by-step explanation:
Start by transforming the equation to your liking:
[tex]5y^2-2=3y\\5y^2-3y-2=0\\[/tex]
Now we have to factor! To do this we have to find common numbers. Do this by multiplying -2 and 5 to get -10. Now think about which two numbers add multiply to be -10 but also add up to be -3 (I got this number from the middle of the equation). The two numbers you should've got are -5 and 2.
Now substitute those two number in place of the middle term, which is -3y like so:
[tex]5y^2-5y+2y-2 =0[/tex]
Now solve the equation in pieces... find the greatest common factor from [tex](5y^2-5y)[/tex] and the greatest common factor from [tex](2y-2)[/tex] . The two common factors for both of those are 5y and 2. Your equation should now look like this:
[tex]5y(y-1)[/tex] + [tex]2(y-1)[/tex]
The two greatest common factors become into one group and the other equation that they have in common (y-1) is it's own equation:
[tex](5y+2)(y-1)=0[/tex]
Now equal both of the equations to 0 and solve for y to get both of the values of y.
The slope-intercept form of the equation of a line that passes through point (-3, 8) is y= -2/3x+6. What is the point-slope
form of the equation for this line?
Answer:he slope-intercept form of the equation of a line that passes through point (–3, 8) is y = –x + 6. What is the point-slope form…
Step-by-step explanation:
PLEASE HELP LOOK AT THE PHOTO I GAVE YOU PLEASE D:
Answer:
[tex]30\%[/tex]
Step-by-step explanation:
There are 6 blocks shaded out of 20.
[tex]6/20=3/10=30\%[/tex]
SELECT ALL THAT APPLY
Which equations could you use to solve the following problem?
Seventy-eight is 55% of what number?
1. 78 = (0.55)w
2. p = (0.85)78
3. x/78 = 55/100
4. 78/x = 55/100
Answer:
The answer I THINK was the best is the fourth one !
Step-by-step explanation:
I think because before you calculate, you have To put 78 / with an x because you still don't know what is the number !
And after you have To equal this with 55/100 To know the answer !
I hope i helped you !
Answer:
the first one and last one.
Step-by-step explanation:
i had he same question!!! hope this helps
Pls help don’t know how to do this one
Answer:
150 m
Step-by-step explanation:
Since we have a dome inscribed in a rectangle, and are given the width of the rectangle, we can,
1. Find the diameter of the circle, which is also 150m
2. Find the length of the rectangle, which is 75m (the length of the rectangle is the same as the radius of the circle)
If we are to find the perimeter of the shaded region, we add the length and half the width of the rectangle. So,
75 + 75 = 150m
Raj takes a taxi to the airport. He expects the taxi to travel at an average speed of 60 mph. The distance from Raj's house to the airport is 30 miles. If Raj's taxi actually travels at an average speed of 50 mph, how many more minutes does the journey take than expected?
Answer:
6 minutes more
Step-by-step explanation:
Time = Distance ÷ Speed
Time = 30miles ÷ 60mph
Time = 30mins
Time = 30miles ÷ 50mph
Time = 36mins
36mins - 30mins = 6mins difference
Answer: 6 minutes
Step-by-step explanation:
Time = Distance / speed
When speed is 60 mph
Time = 30/60 = 1/2 hour = 30 minutes
When speed is 50 mph
Time = 30/50 = 3/5 hour = 36 minutes