The graph G represents the solution set for 8x + 5y ≤ 100.
What is Solution set ?
A solution set in mathematics is the collection of values that satisfy a particular set of equations or inequalities. The set of solutions to a constrained optimization problem represents the viable zone.
We have, 8x + 5y ≤ 100
Let's assume it as 8x + 5y = 100,
when x = 0,
5y = 100
y = 20
when y = 0,
8x = 100
x = 12.5
So, The line touches x-axis and y-axis at 12.5 and 20.
Now, Putting (0, 0) in 8x + 5y ≤ 100,
We get, 0 ≤ 100 which is true.
Hence, The region below the line should be the solution set for 8x + 5y ≤ 100.
So, Graph G represents the solution set for 8x + 5y ≤ 100.
Learn more about Solution set from the link given below:
https://brainly.com/question/10588366
#SPJ1
QUESTION 8 of 10: Juanita, the stadium manager, spends $10,000 on a broadcast TV ad, $15,000 on a cable TV ad, and $4,000 on a radio ad
What percentage of radio advertising did she do? (Round to the nearest percent.)
Answer: 13.79%
Step-by-step explanation:
Amount spent on broadcast TV advertisement = $10000
Amount spent on cable TV advertisement = $15000
Amount spent on radio advertisement = $4000
Total amount spent advertisement = $10000 + $15000 + $4000 = $29000
The Percentage of radio advertisement done will be:
= (Amount spent on radio advertisement / Total amount spent advertisement ) × 100
= (4000 / 29000) × 100
= 13.79%
Find the values of x and y. Write your answers in simplest form.
Step-by-step explanation:
You have this rule, if there is < 30° then value of y is
y=12✓3:2
y=6√3
And Pitagora's theorem:
c²=a²+b²
In this case:
(12√3)²=y²+x²
Then x is:
x²= (12√3)²-y²
x²= (12√3)²-(6√3)²
x²=432- 108
x²= 324
x=✓324
x=18cm
Jennifer is buying party supplies. She is planning on buying twice as many balloons as noisemakers. The number of napkins Jennifer is planning on buying is one-quarter of the number of noisemakers. If Jennifer buys 65 items, how many noisemakers does Jennifer buy? Write and solve an equation using a variable for this problem. <3
(trying to finish all my hw today since I have irl school starting tomorrow, I'm going to a new school:(
NO LINKSS
Answer:
20 noisemakers; 40 balloons; 5 napkins
Step-by-step explanation:
n = noisemakers amount
b = balloons amount
k = napkins amount
n/4 = k
b = 2n
b + n + k= 65
plug first and second equation into the respected variables in the 3rd equation so:
2n + n + n/4 = 65
multiple both sides by 4 to get rid of fraction
4(2n + n + n/4) = 4*65
8n + 4n + n = 260
13n = 260
n = 20
use n = 13 to get the other variables
b = 2(20)
b = 40
(20)/4 = k
k = 5
Two similar cylinders have heights of 3 cm and 6 cm respectively. If the volume of the smaller cylinder is 30 cm3, find the volume of the larger cylinder.Required to answer. Single line text.
Answer:
Volume of big cylinder = 1,438.76 cm (Approx.)
Step-by-step explanation:
Given:
Height of smaller cylinder = 3 cm
Height of big cylinder = 6 cm
Volume of smaller cylinder = 30 cm³
Find:
Volume of big cylinder
Computation:
Volume of smaller cylinder = πr²h
(22/7)(r²)(3) = 30
Radius of small cylinder = 1.783 cm (Approx.)
So,
Radius of big cylinder = 1.783 x 2 = 3.566 cm (Approx.)
Volume of big cylinder = πr²h
Volume of big cylinder = (22/7)(3.566)²(6)
Volume of big cylinder = 1,438.76 cm (Approx.)
PLEASE HELP I GIVE BRAINLIEST
B)é a reposta
58
Find the volume of a prism. The area of the hexagonal base is
m2. Its height is 7
tan30°
m. If necessary, round your answer to the nearest hundredth.
The volume of the prism is about
m?
please help !
Answer:
I dont think this is the right answer but 8.256
Step-by-step explanation:
2.
Do the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table.
inverse variation; xy = 12
inverse variation; [tex]\frac{y}{x} =12[/tex]
direct variation; y = 12x
direct variation; [tex]y=\frac{12}{x}[/tex]
Answer: Other Answers..
SHOW ANSWER
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Step-by-step explanation: Brainly answers.. -_-
6*2 =12
4*3 = 12
12*1 = 12
answer is B inverse variation xy=12
...............................................................................................................................................
Answer:
The correct option is B.
Step-by-step explanation:
From the given table it is notices that the value of y decreases as x increases, therefore it is an inverse variation.
The inverse variation is defined as
Where, k is constant of proportionality.
From the given table it is clear that the value of y is 6 at x=2.
The value of k is 12. So, the required model is
Therefore, the correct option is B.
Answer: B
Step-by-step explanation:
write an expression in standard form that Is equivalent to 2 + 3(x - 4)
Answer:
2+3=5(x-4) ,
=5(x-4)
=5x-4
=1x
HEEEEEELPPPPPPP!!!!!!!
Answer:
true
Step-by-step explanation:
Suppose you want to buy a $151,000 home. You found a bank that offers a 30-year loan at 4.7% APR. What will be your monthly payment? (Round to the nearest cent.)
Answer:
the monthly payment is $783
Step-by-step explanation:
The computation of the monthly payment is shown below:
Given that
PV = $151,000
NPER = 30 × 12 = 360
RATE = 4.7% ÷ 12 = 0.39166
FV = $0
The formula is shown below
= PMT(RATE;NPER;-PV;FV;TYPE)
AFter applying the above formula, the monthly payment is $783.14
Calculate the surface area of the square pyramid below.
yd2
Answer:
155
Step-by-step explanation:
A stage in the shape of a semi circle had a diameter of 42 ft. What is area of the stage? Use 22/7 for π. PLZ I NEED FAST TEST
A semi circle is half a full circle. Find the area of the full circle and divide it by 2.
Area of a circle = pi x r ^2
R is half the diameter
Area of full circle:
Area = 22/7 x 21^2
Area = 1386 sq. Ft
Area of stage = 1386/2 = 693 square feet
Answer:
3.14 x 42 x 42 = 5538.96ft
If your wondering why used 3.14 instead of 22/7 is because they are exactly the same just one is a whole number and the other is a fraction. I suggest you use 3.14 because its easier than 22/7.
Step-by-step explanation:
:))
find the measure of each interior angle of a regular polygon with the following number of size 6
Answer
number of side(n)=6
formula to calculate each interior angle =((n-2)×180)/n
now,
((6-2)×180)/6
(4×180)/6
720/6
120
may this will help you
Answer:
120°
Step-by-step explanation:
n = 6
Work:
[tex]\frac{(n-2) *180}{n} \\\\\frac{(6-2) *180}{6} \\\\\frac{4 *180}{6} \\\\\frac{720}{6} \\\\120[/tex]
If you fill out both of these you can get Brainliest and some 5 star and thanks!
Answer:
First estimate:
63% is kind of close to 60%
41 is kind of close to 40
its easy to compute 60% of 40 - it's 24
Second estimate:
14% is close to 15%
96 is close to 100
15% of 100 = 15
Answer:
1st one is 25.83, so estimate that so it shud be like 24
Step-by-step explanation:
What is the volume of a sphere with a radius of 3 inches?
12 pi cubic inches
24 pi cubic inches
36 pi cubic inches
48 pi cubic inches
Answer:
36π cubic inches
Step-by-step explanation:
V = 4/3 πr³
radius (r): 3
= 4/3π(3)³
= 4/3π (27)
= 36π
For anybody who wants to know.
It’s -5,1
Answer:
ok
Step-by-step explanation:
cool
What is the value of the missing angle
Answer:180
Step-by-step explanation:
Which one is it ? I need help
1. 60
2. 55
3. 65
4. 180
Answer:
55
Explanation:
HELPPPPP PLEASE!!!!
Factoring Trinomials X2-4x+24
Answer:
it shouldn't be able to be solved but it depends on your teacher
Step-by-step explanation:
can some 1 answer this pls
Answer:
you are right
Step-by-step explanation:
x²-2x-8≠0
⇒ (x-4)(x+2)≠0 ⇒ x≠-2 x≠4
Which line segment is an altitude of ΔVWY?
Answer:
x
Step-by-step explanation:
just trust I know the x is the altitude
como resolve essa conta
p = 8 + 10?
Answer:
P equals 18 because 8 plus 10 is 18.
Step-by-step explanation:
Please help 13 points geometry!!
1, 140 °
2, 40°
3, 100 °
4, 100°
5, 40°
6, 90 °
7, 120 °
8, 130 °
Step-by-step explanation:
1, BOA IS EQUAL TO FOH = 140°
2, FOE EQUAL TO BOA = BOA = 40° = FOE = 40°
3, BOA° + GOF° =40° + 60° = 100 °
4, GOE = BOC WHICH MEAN GOE = 100° = BOC = 100°
5, COD = HOG =40 °
6, EOD= AOG = 90°
7, AOD = GOE + COD = 100° + 40 ° = 140°
8, BOG = 140 °
Name the angle pairs that are vertical angles.
Select all angle pairs that are vertical angles.
A. ∠F and ∠L
B. ∠E and ∠N
C. ∠R and ∠V
D. ∠Y and ∠W
Answer:
A and C
Step-by-step explanation:
Vertical angles are angles that are created when two lines cross. They are angles opposite from each other. (another way of saying it:) Vertical angles are angles opposite each other where two lines cross.
Hope this helps! :)
The drone in the Example hovers at 16 meters for a few minutes before being
lowered at a constant rate. It reaches the ground after 6 seconds.
a. Why can the drone's descent be modeled by a linear function?
The drone's descent can be modeled by a linear function as the rate of descent is constant.
How to define the linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the intercept, representing the value of y when x = 0.For this problem, we have that the drone descended 16 meters in 6 seconds, hence the slope m is given as follows:
m = -16/6 = 2.67 m/s.
As the slope is constant, a linear function can model the situation.
More can be learned about linear functions at https://brainly.com/question/24808124
#SPJ1
PLEASE HELP!! WILL GIVE LOTS OF POINTS Which of the following functions shows the absolute value parent function,
F(x) = |x|, vertically stretched
Answer:
D
Step-by-step explanation:
vertically stretched is on the outside of the |x| and has to be grater than 1
Greyson reads 36 1/3 pages in 40 minutes, or 2/3 of
an hour. At this rate, how many pages can he read
in one hour?
Answer:
18 1/6+31 1/3= 49 1/2 pages in one hour.
Step-by-step explanation:
Hope this help and have a wonderful day!!!
A hexagonal prism has a base with an area of 15 square inches and the volume is 105 cubic inches.
Answer:
The height is 7 inches
Step-by-step explanation:
Given
[tex]Base\ Area = 15in^2[/tex]
[tex]Volume = 105in^3[/tex]
Required
Determine the height [missing from the question]
The volume of a hexagonal prism is:
[tex]Volume = Base\ Area * Height[/tex]
Make Height the subject
[tex]Height = \frac{Volume}{Base\ Area}[/tex]
[tex]Height = \frac{105in^3}{15in^2}[/tex]
[tex]Height = \frac{105in}{15}[/tex]
[tex]Height = 7in[/tex]
What is the simple interest on $450 at 7% for 2 years?
Answer:
I = $220.50
Step-by-step explanation:
Simple Interest Formula is I = prt
P= Principal $450
R= Rate 0.07
T= Time 7 years
I = (450)(0.07)(7)
I= $220.50
Can someone please tell me the answers
Answer:
A is the correct answer. pls mark me brainliest