Use the equation 2m + 4s = 16 to complete the table, then graph the line using s as the
dependent variable.
Answers
Answer:
S. 4
M. 2
S. 5
M. 8
And the graphing you just do those as m/s -->(M,S)
You can put the value of m or s in the given equation of m and s to obtained the missing value.
The completed table would look like:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
Simplifying the relation between m and s:[tex]2m + 4s = 16\\\\ \text{Dividing by 2 on both sides}\\\\ \dfrac{2m + 4s}{2} = \dfrac{16}{2}\\\\ m + 2s = 8[/tex]
How to evaluate the missing values?Use one of the given value and the equation to find the missing value:
For m = 0:[tex]m + 2s = 8\\ 0 + 2s = 8\\ 2s = 8\\\\ s = \dfrac{8}{2}\\\\ s = 4[/tex]
For s = 3:[tex]m + 2s = 8\\ m + 2 \times 3 = 8\\ m = 8 - 6\\ m = 2[/tex]
For m = -2:[tex]m + 2s = 8\\ -2 + 2s = 8\\ 2s = 10\\ \\ s = \dfrac{10}{2} \\\\ s= 5[/tex]
For s= 0:[tex]m + 2s = 8\\ m + 2 \times 0 = 8\\ m = 8[/tex]
Thus, the completed table would be:
[tex]\begin{array}{ccccc}m & 0 & 2 & -2 & 8\\s & 4 & 3 & 5 & 0\end{array}[/tex]
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Related Questions
what is the approximate volume of this cylinder
Answers
Answer:
where is the cylinder.....................
Answer:
Where is the cylinder??????
Step-by-step explanation:
Two sides of an obtuse triangle measure 12 inches and 14 inches. The longest side measures 14 inches.
What is the greatest possible whole-number length of the unknown side?
Answers
what is a eqvilent fraction to 6/20
Answers
Answer:
310 is equivalent to 620 because 3 x 20 = 10 x 6 = 60. 930 is equivalent to 620 because 9 x 20 = 30 x 6 = 180. 1240 is equivalent to 620 because 12 x 20 = 40 x 6 = 240.
Step-by-step explanation:
Answer:
30%
Step-by-step explanation:
What's 6 divided by 20?
6/20 = 30
URGENT PLEASE HELP !!!!!!!!!!!!
Answers
Answer:
Answer is C Converse of the Base Angle Theorem
Step-by-step explanation:
And can I have brainliest PLZ
Ethan is watching a space shuttle launch from an observation spot 99 miles away. Find the angle of elevation from Ethan to the space shuttle, which is at a height of 0.70.7 miles.
Answers
Answer:
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.
Step-by-step explanation:
Let O and A the locations observation spot and the space shuttle, respectively. BA is the height of the space shuttle from the ground. All length are measured in miles. We include a simplified geometrical representation of the situation.
Since a right triangle is formed, we can find the angle of elevation ([tex]\theta[/tex]), measured in sexagesimal degrees, by the following inverse trigonometrical relationship:
[tex]\theta = \tan^{-1}\left(\frac{BA}{OB} \right)[/tex] (1)
Where OB is the distance from the observation spot to the point just below the space shuttle.
If we know that [tex]OB = 99\,mi[/tex] and [tex]BA = 0.7\,mi[/tex], then angle of elevation from Ethan to the space shuttle is:
[tex]\theta = \tan^{-1}\left(\frac{0.7\,mi}{99\,mi} \right)[/tex]
[tex]\theta \approx 0.405^{\circ}[/tex]
The angle of elevation from Ethan to the space shuttle is approximately 0.405º.
1. Mr. Rodriguez hired an electrician to update several electrical outlets in his home. The electrician
charges $80 plus $45 an hour or any fraction of an hour. Let x represent the number of hours that the
electrician works. The total cost, f(x), can be represented by the function f(x) = 80 + 45x .
(a) Complete the table below to determine how much Mr. Rodriguez will pay the electrician.
Cost of Hiring an Electrician
Number of Hours
Answers
Answer:
80+45x this is because I don't noo???????
Annual starting salaries for college graduates is unknown. Assume that a 95% confidence interval estimate of the population mean annual starting salary is desired. If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
Answers
Answer:
A sample of 217 is needed.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1-0.95}{2} = 0.025[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1-\alpha[/tex].
So it is z with a pvalue of [tex]1-0.025 = 0.975[/tex], so [tex]z = 1.96[/tex]
Now, find the margin of error M as such
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
If the population standard deviation is $3,750 how large should the sample be if margin of error is $500
We have that [tex]\sigma = 3750[/tex].
We need a sample of n, and n is found when [tex]M = 500[/tex]. So
[tex]M = z*\frac{\sigma}{\sqrt{n}}[/tex]
[tex]500 = 1.96*\frac{3750}{\sqrt{n}}[/tex]
[tex]500\sqrt{n} = 1.96*3750[/tex]
[tex]\sqrt{n} = \frac{1.96*3750}{500}[/tex]
[tex](\sqrt{n})^{2} = (\frac{1.96*3750}{500})^{2}[/tex]
[tex]n = 216.1[/tex]
Rounding up
A sample of 217 is needed.
Help pls :,)
Rosa made a mosaic wall mural using 40 black tiles, 33 blue tiles and 27 red tiles.
Enter a percent to represent the number of red tiles in the Mural.
The number of red tiles in the mural represents ??? %
Answers
Answer:
First you have to figure out the total.
42+35+23= 100
So plug it in.
23/100
23%
Your answer is 23%.
Hope this helped ^-^
Step-by-step explanation:
rectangle will have length 3n+ 6 and height 2n−1 inches, while the square will have side length n+ 2inches. Find the perimeter and area of your creation. Give your answers in fully factored form and includeunits. As part of your solution, redraw the below picture labelling all the sides.
Answers
Answer:
Perimeter: 2(3x+6)+ 2(2x-4)
X=9
Step-by-step explanation:
In order to create the expression you just have to remember that the perimeter of a rectangle equals 2 bases plus 2 sides, so the expression would be:
Perimeter: 2(heights)+ 2(bases)
Perimeter: 2(3x+6)+ 2(2x-4)
IN order to solve for X we just have to insert the value of perimeter, which is 94:
Perimeter: 2(3x+6)+ 2(2x-4)
94=2(3x+6)+ 2(2x-4)
94= 6x+12+4x-8
94=10x+4
94-4=10x
x=90/10
x=9
So the value of x would be 9.
Simplify: -3(n+3) - 10(8n + 9)
Answers
Answer:
-83n-99
Step-by-step explanation:
-3n-9-80n-90
-83n-99
Please help me with this question! <3
Which set of coordinate pairs does NOT represent a linear function?
A.(−4, −12), (−3, −10), (−2, −8), (−1, −6)
B.(−4, −17), (−3, −10), (−2, 5), (−1, 2)
C.(1, −7), (2, −10), (3, −13), (4, −16)
D.(1, 1), (2, 4), (3, 7), (4, 10)
Answers
Answer:
c
Step-by-step explanation:
6. If 2 different study subjects are randomly selected, find the probability that they both were sentenced to prison.
Answers
Answer:
the probability that they both were sentenced to prison is 0.1740
Step-by-step explanation:
The computation of the probability is given below;
P(sentenced) is
= (367 + 68) ÷ 1043
= 0.4171.
Now
P(2 persons senteced to prison) is
= 0.4171 × 0.4171
= 0.1740
hence, the probability that they both were sentenced to prison is 0.1740
The same is to be considered and relevant too
m= 12 and the y-intercept is (0, 11)
Answers
Answer:
y=12x+11
Step-by-step explanation:
using y=mx+b
m is the slope and b is the y intercept, using that you just plug in the numbers.
A store sells 20 bottles of detergent for every 5 bottles of fabric softener. Use the ratio table to find how many bottles of detergent will be sold when 12 bottles of softener are sold.
A.
4
B.
24
C.
48
D.
240
Answers
Answer:
D
Step-by-step explanation:
Just took the test :)
Write an expression that it equivalent to 1/4x+1+3/4x-2/3-1/2x
Answers
Answer: =1/2x+1/3
Step-by-step explanation:
The equivalent expression is 1/2x+ 1/3.
What is Expression?A mathematical expression is a phrase that has a minimum of two numbers or variables and at least one mathematical operation. Let's examine the writing of expressions. The other number is x, and a number is 6 more than half of it. In a mathematical expression, this statement is denoted by the expression x/2 + 6.
Given:
1/4x+1+3/4x-2/3-1/2x
Now, solving the above expression
1/4x+1+3/4x-2/3-1/2x
= 1/4x + 3/4x - 1/2x + 1 - 2/3
= 4/4x - 2/4x + 1/3
= 2/4x + 1/3
= 1/2x + 1/3
Hence, the equivalent expression is 1/2x+ 1/3.
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What quadrant is (6, −7) in? Quadrant I Quadrant II Quadrant III Quadrant IV
Answers
Answer:
(6,-7) Would be in Quadrant IV
Step-by-step explanation:
Percentage
What’s 12% from 18,000.00$
Answers
Answer:
2160%
Step-by-step explanation:
hope this helps :)
Answer:
2160
Step-by-step explanation:
10 = 1800
2 = 1800 divided by 5 = 360
1800 + 360 = 2160
4x + y = -24
y + 2x = -8
How would I solve by substitution step by step?
Answers
Y= -8 -2x
Y=16x
Now sub 16x in the top equation
4x + 16x =-24
20x= -24
Divide left and right by 20
-6/5
Determine if the ratios are equivalent.
17:3 and 68:12
Answers
Answer:
They are equivalent
Step-by-step explanation:
We can do cross products for this one
17/3 = 68/12
17 times 12 = 68 times 3
204 = 204
Rural Speed Limits Rural speed limits for all 50 states are indicated below. 60 mph 65 mph 70 mph 75 mph 1 (HI) 18 18 13 Choose one state at random. Find the probability that its speed limit is a. 60 or 70 miles per hour b. Greater than 65 miles per hour c. 70 miles per hour or less
Answers
Answer:
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
[tex]P(x>65mph) = 0.62[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
Step-by-step explanation:
Given
Speed Limits --- States
60 mph ---------- 1
65 mph ----------- 18
70 mph ----------- 18
75 mph ---------- 13
Total -------------- 50
Solving (a): Probability of 60mph or 70mph
This is represented as:
[tex]P(60mph\ or\ 70mph)[/tex]
We only consider states with speed limits of 60 and 70mph.
So, we have:
[tex]P(60mph\ or\ 70mph) = P(60mph) + P(70mph)[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{1}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(60mph\ or\ 70mph) = \frac{1+18}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = \frac{19}{50}[/tex]
[tex]P(60mph\ or\ 70mph) = 0.38[/tex]
Solving (b): Greater than 65mph
This is represented as:
[tex]P(x>65mph)[/tex]
We only consider states with speed limits of 70 and 75mph.
So, we have:
[tex]P(x>65mph) = P(70mph) + P(75mph)[/tex]
This gives:
[tex]P(x>65mph) = \frac{18}{50} + \frac{13}{50}[/tex]
Take L.C.M
[tex]P(x>65mph) = \frac{18+13}{50}[/tex]
[tex]P(x>65mph) = \frac{31}{50}[/tex]
[tex]P(x>65mph) = 0.62[/tex]
Solving (c): 70mph or less
This is represented as:
[tex]P(x \le 70mph)[/tex]
We only consider states with speed limits of 60, 65 and 70mph.
So, we have:
[tex]P(x \le 70mph) = P(60mph) + P(65mph) + P(70mph)[/tex]
This gives:
[tex]P(x \le 70mph) = \frac{1}{50} + \frac{18}{50} + \frac{18}{50}[/tex]
Take L.C.M
[tex]P(x \le 70mph) = \frac{1+18+18}{50}[/tex]
[tex]P(x \le 70mph) = \frac{37}{50}[/tex]
[tex]P(x \le 70mph) = 0.74[/tex]
ILL MARK BRAINLIST , pls help n
Answers
Answer:
answer is b
Step-by-step explanation:
what is 30% of 180 show work
Answers
Answer:
30%=30/100=3/10
Step-by-step explanation:
3/10*180
Simplify 180 and 10.
3*18=54
15.
(01.03 LC)
What is 0.453 rounded to the nearest tenth?
0.5
0.45
0.44
0.4
Answers
Terry has 15 candles. She needs at least 100 candles. The candles she wants are sold in boxes of 8. What is the least number of boxes of 8 candles that Terry needs to buy.
Answers
Answer:
Answer: 11
Step-by-step explanation:
1. 100-15=85
2. 85/8=10.625
3. 10.625 rounds up to 11
Please really need answer would greatly be appreciated and mark brainliest.
Answers
Answer:
8ft of ground is covered, 8ft of metal and about 2 feet wide, it can hold 10ft of water i think
Answer:
Step-by-step explanation:
8 feet
What is the equation of the line that contains the point (-4.-12) and has
the slope of 3?
Answers
Answer:
y = 3x
Step-by-step explanation:
⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄⁄(⁄ ⁄•⁄ω⁄•⁄ ⁄)⁄
Answer:
y=3x
Step-by-step explanation:
if you plug the point, and the equation into Desmos, you can see it´s right!
Find the product.
- y(2y 3 - 8)
Answers
look at image
Step-by-step explanation:
hope this helps
5 thousands muiltply 10 = what
Answers
what goes into 27 and 48?
Answers
Answer:
Step-by-step explanation:
lets see
27=7*4=7*2*2
48=3*2*2*2*2
both numbers are divisible by 4
27/3=9, 48/3=16
Answer = 3
1/2 x 5/6 in fraction form
Answers
Answer:
5/12
Step-by-step explanation:
The required value in fraction form is 5/12
Expressing product in fraction formGiven the expression
1/2 x 5/6
We are to express in fraction form. To do this we will multiply the numerator and denominator together to have:
1/2 x 5/6
= (1 * 5)/(2 * 6)
= 5/12
Hence the required value in fraction form is 5/12
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