Answer:
[tex]12s+24[/tex]
Step-by-step explanation:
Distribute this and you get [tex]16s + 18 -4s + 6[/tex].
This simplifies to [tex]12s+24[/tex].
Calculate the gradient of the line using rise/run method.
Given:
The graph of line.
To find:
The gradient of the line using rise/run method.
Solution:
We know that the gradient of a line is also known as slope.
[tex]Slope=\dfrac{Rise}{Run}[/tex]
Consider the two intercepts, then rise is distance between origin and y-intercept and run is the distance between origin and the x-intercept. But rise must be negative because the value of y decreased from 3 to 0.
[tex]Rise=-3[/tex]
[tex]Run=2[/tex]
Now,
[tex]Slope=\dfrac{Rise}{Run}[/tex]
[tex]Slope=\dfrac{-3}{2}[/tex]
The gradient of the line is [tex]-\dfrac{3}{2}[/tex].
Therefore, the correct option is C.
3. A company makes a profit of $15 per software program and $10 per video game. The company can produce
at most 70 software programs and at most 80 video games per week. Total production cannot exceed 100
items per week. How many items of each kind should be produced per week in order to maximize the profit?
Use linear programming to solve. Show all your work.
Answer:
For the profit to be maximized, 20 software programs and 80 video games should be produced
Step-by-step explanation:
Let x represent the number of the software programs and let y represent the number of video games.
We are told that the company can produce at most 70 software programs and then, at most 80 video games per week. Thus;
x ≤ 70
y ≤ 80
Also, we are told that the overall production cannot exceed 100. Thus;
x + y ≤ 100
Since the company makes a profit of $15 per software program and $10 per video game. Then, the function to be maximized is;
15x + 10y
When they produce at most 70 software programs, it means that the number of video games that can be produced is: 100 - 70 = 30.
Thus, one point of maximizing values is; (70, 30)
Also, when they produce at most 80 video games per week, the number of software programs that can be produced is; 100 - 80 = 20.
Thus, second point of maximization is;
(20, 80)
Putting these points into the objective function, we have;
At (70, 30); 15(70) + 10(30) = $1350
At (20, 80); 15(20) + 10(80) = $1100
For the profit to be maximized, 20 software programs and 80 video games should be produced
500g to 0.4kg as a ratio
Answer:
500 : 0.4
Step-by-step explanation:
Look at the graph below. Will ordered pair (50,200) fall on the line below? Explain your answer.
Middle school math.
Answer:
Yes!
Step-by-step explanation:
the slope of the graph travels 1x for every 4y, so multiply both numbers by 50, which gives you (50, 200)
Guided Practice
Determine whether the relation is a function. Explain why or why not.
{(3, 7), (3, 8), (3, –2), (3, 4), (3, 1)}
A.
No; the domain value 3 corresponds to multiple range values.
B.
Yes; there is no value in the domain that corresponds to more than one value of the range.
C.
No; a function must have multiple domain values.
Answer:
A. it is not a function because there are multiple y-values paired with a single x-value.
Step-by-step explanation:
Which equation represents a proportional relationship? A. y=x/8. B. y=8/x. C. y=x/8+8. D. y=8/x+8.
Answer:
c and d have a proportial relationship.
Step-by-step explanation:
hope this helps
pls help.
I WILL MARK BRAINLIEST!
Answer:
c
Step-by-step explanation:
because if you look at the line below it it shows 180 degrees because it is a straight line if that makes sense. if not just trust me.
Im sorry- everyone is saying its C so- Uh... sorry :<
Please answer this today - First correct answer becomes brainliest
Suppose you know x+2y=-1 and 3y-x=-19. What is xy?
This question is asking me to “Identify whether each of the following is a linear function
Find the volume of the cone. Use 3.14 for pi.
Answer:
V≈157.08
Step-by-step explanation:
I hope this helps
Irene has a spinner with 5 sections, each with a different color. Irene spins the spinner many times, and records the results in the table.
Color: Red Orange Yellow Green Blue
Frequency: 16 11 9 14 10
Find the probability of spinning each color, based on the data. Explain how you calculated each probability.
Step-by-step explanation:
Probability of spinning a specific colour is the frequency of the colour divided by the total frequency.
Total frequency = 16 + 11 + 9 + 14 + 10 = 60
Hence we have the following probabilities:
P(Red) = 16/60 = 4/15P(Orange) = 11/60P(Yellow) = 9/60 = 3/20P(Green) = 14/60 = 7/30P(Blue) = 10/60 = 1/6four circles with no one common tangent drawing
Answer:
im sorry i dont know it
Step-by-step explanation:
hope u have a good day
A triangle has sides of lengths 19 centimeters, 19 centimeters, and 26 centimeters and angle measures of 84º. 489 and 48°. Which image shows this triangle?
84
19 cm
19 cm
248
48
26 cm
48
19 cm
19 cm
O
84
48
26 cm
84
19 cm
26 cm
248
48
19 cm
48
26 cm
O
19 cm
18
84
19 cm
Answer:this is the answer
Step-by-step explanation:
Just did the test
how to write 3,24 as a common fraction without using a calculator
Answer:
dont trust me on this but i think it is 3/8
Step-by-step explanation:
Work out the following, giving your answers in their simplest form:
a) 2/3 divided by 1/4
b) 7 divided by 2/3
2+3.3x-1.7=5.25 solve for x
Answer:
1.5
Step-by-step explanation:
2+3.3x-1.7=5.25
=> 3.3x = 5.25 +1.7 -2
=> 3.3x = 6.95 - 2
=> 3.3x = 4.95
[tex] = > x = \frac{4.95}{3.3} [/tex]
[tex] = > x = \frac{49.5}{33} [/tex]
=> x = 1.5 (Ans)
a pizza is removed from an over at 425°F. after 15 minutes, the pizza has cooled to 200°F
Answer:
sorry if im reading it wrong but...whats the question here??
Step-by-step explanation:
Let the random variable H represent the height of a woman in the population. P(H<60) represents the probability, of randomly selecting a woman with height less than 60 inches. Based on the information given, the probability can be found using either the discrete model for the normal model.
Answer:
Hello your question in incomplete attached below is the complete question
answer : 0.03
Step-by-step explanation:
H represents the height of women
Determine P ( H < 60 ) using either discrete or normal model
using discrete model
P ( H < 60 ) = ∑ relative frequencies of women with height < 60 inches
= 0.01 + 0.02 = 0.03
Please help!
Find the indicated side of the
right triangle.
60°
Х
3
30°
x = [?]
Enter
Answer:
x = 6
Step-by-step explanation:
sin 30° = 3/x
0.5 = 3/x
.5x = 3
x = 3/.5
x = 6
The indicated side of the right-angled triangle is 6.
What is a right-angled triangle?A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.
Given:
The triangle is a right-angled triangle.
So, we know,
SinФ = perpendicular / hypotenuse.
And here, perpendicular = 3 unit
And hypotenuse = x unit
Substituting the values,
Sin30° = 3/x
1/2 = 3/x
x = 6
Therefore, the value of x is 6.
To learn more about the right-angled triangle;
brainly.com/question/3772264
#SPJ2
uhm please help me :)..........,.
A worker is paid Rs 1110 for 6 days. If he told wage during a month is Rs 4625, for how many days did he work?
Worker work for =25 days and he paid Rs.4625.
Step-by-step explanation:
From the question,
Worker is paid Rs.1110 for =6 days
Worker is paid Rs.1 for =(6/110) days
Worker is paid Rs.4625 for =(6/1110)×(4625) days
=25 days
I need help on this.. First person to answer this correctly gets a BRANLIST
Answer: The relation is a function.
Step-by-step explanation: Since there is one value of y for every value of x in (-2,4), (3,7), (0,8), (5,8), and (1,6), this relation is a function.
I hope this helps you out!
Suppose the line of best fit is drawn for some data points. If the mean of the x-coordinates of the points is -8, and the mean of the y-coordinates of the points is 10, the line must pass through which of these points?
Answer: 10
Step-by-step explanation:
Answer:
(-8, 10)
Step-by-step explanation:
A P E X
please help!!
i’m really stuck and confused!
Answer: a.2^3, b. 3^5, c. 4^3 + 5^2, d. 9^4 + 7^2
Step-by-step explanation:
i took this class already
Answer:
a) = 8
b)=243
c)=1 600
d)=321 489
Explanation
a) 2×2= 4×2= 8
b)3×3=9×3=27×3=81×3=243
c)4×4=16×4=64×5=320×5=1 600
d)9×7=63×9=567×9=5 103×7=35 721×9=321 489
In triangle ABC, A is a right angle and M B=45°. Find BC. If you answer is not an integer, leave it in simplest radical form.
Step-by-step explanation:
- In a right triangle, if ∠B is 45°, then ∠C is too.
-- Since ∠B and ∠C are equal, the sides opposite them
are equal too. This is an isosceles right triangle. Its legs
are equal.
-- (The hypotenuse)² = (one leg)² + (the other leg)²
= (12-ft)² + (12-ft)²
= (144 x 2)
The hypotenuse = √(144 x 2) = 12√2 .
LOL
Mount Mo is 5323 feet tall dawn climbed it in five days she climbed 821 feet on the last day how many feet did she climb in the first four days
Answer:
Step-by-step explanation:
d+821=5323
d=4502
So the distance she climbed in the first four days was 4502 feet.
hello please help
me
Answer:
it would be the second one
Step-by-step explanation:
hope this helps
Simply 736:1054 thank you
Answer:
368/527
Step-by-step explanation:
The ratio 2 centimetres to 5 metres can be written in the form
1
:
n
.
Find the value of
n
.
Answer:
n = 250
Step-by-step explanation:
To express the ratio, the quantities must have the same measures
2 cm : 5 m
= 2 cm : 500 cm [ 1 m = 100 cm ]
Divide both parts by 2
= 1 : 250 → with n = 250
Why does stock have more potential for higher returns than bonds?
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investment will be lost.
Step-by-step explanation:
Hope this will help
Answer:
Stocks have historically delivered higher returns than bonds because there is a greater risk that, if the company fails, all of the stockholders' investments will be lost. However, a stock's price will also rise in spite of this risk when the company performs well, and can even work in the investor's favor.
Step-by-step explanation: