hi
I cannot figure the number 2.16 thousand has it does not mean anything to me.
But the only thing you need to do is to add 15 times 220
so = 3300
Answer:
5,460 people
Step-by-step explanation:
2,160 + 220x is the expression. Now, we plug in 15 for x.
2,160 + 220(15)
2,160 + 3,300 = 5,460
Brainliest, please :)
What is the perimeter of a yard with length = 4 x + 6 2 x + 1 feet and width = x − 3 2 x + 1 feet? 4 x − 3 4 x + 12 feet 4 x − 3 2 x + 6 feet 8 x − 6 4 x + 12 feet 8 x − 6 2 x + 6 feet
The perimeter of the given yard is P = 10x + 6
Perimeter of a rectangleThe formula for calculating the perimeter of a rectangle is expressed as:
P = 2(l + w)
where
l is the length
w is the width
Given the following parameters
length = 4x+6
width = x-3
Substitute
P = 2(4x+6+x-3)
P = 2(5x + 3)
P = 10x + 6
Hence the perimeter of the given yard is P = 10x + 6
Learn more on perimeter of a rectangle here: https://brainly.com/question/19819849
#SPJ1
I NEED ANSWER ASAP please and thank you
Answer:
hexagon and pentagon structure. also known as a truncated icosahedron
Step-by-step explanation:
hope that gives you a good enough description.
there are 60 minutes in one hour and 60 seconds in one minute. Using this information, explain how you could convert 20 miles per hour to feet per second
The conversion is given as 1, 760 feet per second
How to convert the valueWe need to convert 20miles per hour to feet per second
First, we should convert miles to feet
1 mile = 5280 feet
Then,
20 miles = x
Cross multiply
20 × 5280 = x
x = 105, 600
Per hour = I hour = 60 seconds
To find the conversion, we divided the conversion to feet by that of the time
= 105, 600/60
= 1, 760 feet per second
Thus, the conversion is given as 1, 760 feet per second
Learn more about distance conversion here:
https://brainly.com/question/2695274
#SPJ1
A car’s purchase for $27,000 after each year the resale value decreases by 35% what will the resale be after four years
The resale value of the car after four years is $4820
How to determine the resale value?The given parameters are:
initial value, a = $27,000
Rate, r = 35%
The value of the car each year is represented as:
Value = a *(1 - r)^t
So, we have:
Value = 27000 *(1 - 35%)^t
After four years, we have:
Value = 27000 *(1 - 35%)^4
Evaluate
Value = 4820
Hence, the resale value of the car after four years is $4820
Read more about exponential functions at:
https://brainly.com/question/11464095
#SPJ1
f(x) = [(9,11),(-11,4),(7,-6),(11,-1), (-6,-15),(-13,-5)].
f^-1(f(93)) = m
(f(7)) = n
Find m and n
Using the inverse functions property:
f⁻¹(f(93)) = m = 93f(7) = n = -6How to find the values of m and n?
Two functions f(x) and f⁻¹(x) are inverses if:
f( f⁻¹(x) ) = x
f⁻¹(f(x)) = x
We want to get:
f⁻¹(f(93)) = m
By using the above definition we get:
f⁻¹(f(93)) = m = 93
Now for the second one we want:
f(7) = n
If you look at the table, you can see that f(x) contains the point (7, -6), then:
f(7) = n = -6
If you want to learn more about inverse functions:
https://brainly.com/question/14391067
#SPJ1
How many full cases and additional items are needed to fulfill the order? 50 8
The computation illustrate that there'll be 13 cases and 2 additional units.
How to illustrate the information?From the information given, it was stated that 80 units are needed, 6. units per case.
Therefore, the number of cases will be:
= 80/6
= 13 remainder 2.
Therefore, there'll be 13 cases and 2 additional units
Complete information
80 units are needed, 6. units per case. What is the number of cases and the number of additional units?
Learn more about computations on:
brainly.com/question/4658834
#SPJ1
Select the statement that best describes √ 1 5
find the surface area of the triangular prism.
The surface area of the triangular prism is 93 squared feet.
What is the surface area of the triangular prism?
The surface area of triangular prism is expressed as;
S.A = bh + ( s₁ + s₂ + s₃ )H
From the diagram;
h = 2ftb or s₁ = 3fts₂ = 3fts₃ = 3ftH = 10ftWe substitute our given values into the equation above.
S.A = bh + ( s₁ + s₂ + s₃ )H
S.A = (3ft × 2ft) + ( 3ft + 3ft + 3ft )10ft
S.A = 3ft² + ( 9ft )10ft
S.A = 3ft² + 90ft²
S.A = 93ft²
The surface area of the triangular prism is 93 squared feet.
Learn more about prisms here: https://brainly.com/question/21079821
#SPJ1
can two equilateral triangles always be congrunet ? give resons
SOLUTION :
YES as well as NO , two equilateral ∆s can be congruent if any of their side matched to one another,
& CANNOT be congruent if any of their side didn't matched in terms of length (magnitude).
________________________________
MARK BRAINLIEST!
Ivy is running errands for her mother. She bikes along straight paths to the supermarket, the bank, and then back home.Find the distance between Ivy's house and the supermarket and the distance between the supermarket and the bank. Each distance is rounded to the nearest meter.
The distance between Ivy's house and the supermarket and the distance between the supermarket and the bank:
H&S = 1,014 M; and S&B = 854m. This is resolved using the Sine Theorem.
Notice that the Angles of a Triangle add up to 180° That is
∠A + ∠B + ∠C = 180°
Thus,
∠C = 180° - 32° - 109°
= 39°
Recall the Sine Theorem which indicates;
a/SinA = b/SinB = c/SinC
thus given that
AC = 1,523m
We have
AC/SinB = BC/SinA
BC = AC/SinB * SinA
= 1523/Sin109° * Sin32°
BC =854m
Therefore
AC/SinB = AB/SinC
Thus,
AB = AC/SinB * SinC
= 1523/Sin109° * Sin39°
AB ≈ 1,014m
Learn more about the Sine Theorem at;
https://brainly.com/question/27174058
#SPJ1
1 Austin has found that both(13,17) and (24,61) are solutions to a system of linear equations how are the two lines related? explain
Considering that the graphs have two intersection points, the two lines are equal.
What is a system of equations?A system of equations is when two or more variables are related, and equations are built to find the values of each variable.
In a graph, the solution of two linear equations is the intersection of the two lines. Hence, if there are two solutions, as is the case in this problem, the two lines are equal.
More can be learned about a system of equations at https://brainly.com/question/24342899
#SPJ1
Two angles in a triangle have measures of 42 and 82. (Degrees)
What is the measure of the third angle?
Answer:
angles of the triangle are equal 180
so 42+82=124
180-124=56
so the answer is 56
Step-by-step explanation:
During an unusual storm, the temperature fell 8° C, rose 5° C, fell 4° C,
and then rose 6° C. If the temperature was 32° C at the outset of the storm,
what was it after the storm was over?
Which of the following is a radical equation?
x StartRoot 3 EndRoot = 13
x + StartRoot 3 EndRoot = 13
StartRoot x EndRoot + 3 = 13
x + 3 = StartRoot 13 EndRoot
Using it's concept, a radical equation is given as follows:
[tex]\sqrt{x} + 3 = 13[/tex].
What is a radical equation?A radical equation is an equation in which the variable is inside the radical.
Hence, among the equations given, the radical equation is:
[tex]\sqrt{x} + 3 = 13[/tex].
More can be learned about radical equations at https://brainly.com/question/8606917
#SPJ1
Answer:
C
Step-by-step explanation:
took edge test and got 100
In a given year, residents of a country spent approximately $54.6 billion on their pets. Of this amount, $17.1 billion was for veterinarian bills. What percent of the total was spent on veterinary care
Percent of the total was spent on veterinary care is 31.3186% .
Applying simple percentage formula,
let x be the percentage
x=[tex]\frac{17.1}{54.6} \ 100[/tex]
x=31.3186 %
learn more about percentage here:
https://brainly.com/question/17210497
#SPJ1
What is the range of the function graphed below? A bidirectional arrow rises steeply through (negative 2, negative 8), (negative 1 point 5, negative 4), (negative 1, 0), (0, 2) and extends linearly through (2, 2), (3, 2), (4, 2), (5, 2), (6, 2) and (8, 2) on the x y coordinate plane. A. B. C. D.
Answer:
A. -∞ < y < 2
Step-by-step explanation:
The range is the vertical extent of the graph.
Lower limitThe arrow pointing down tells you the graph extends toward -∞.
Upper limitThe arrow pointing right suggests that y=2 is a horizontal asymptote. A graph will approach, but never cross, an asymptote. Thus, we can conclude y < 2.
RangeThe range is the set of values that lie between the limits:
-∞ < y < 2
Attached as an image below.
The formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years
Growth constant
The growth constant k can be defined as the frequency or also known as the number of times per unit time of growing by a factor
it is also called the logarithmic return, compounded return, or the force of interest.
Note that the general formula for growth rate is given as;
[tex]P(t) = P0 e^k^t[/tex]
Where,
Po = Initial value = 400 squirrels
r = Rate of growth
k = constant of proportionality = 0. 5 per year
t = time = 1 year
The function P(t) is given as;
P(t) = 400 e^0.5t
Note that the formula for doubling time is given as;
[tex]TD = t \frac{In 2}{In 1 + r/ 100}[/tex]
r = 4
t = 1
substitute into the formula
[tex]TD = 1 \frac{0. 693}{0. 0392}[/tex]
Doubling time = 1 × 17. 68
Doubling time = 17. 68 years
Thus, the formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years
Learn more about doubling time here:
https://brainly.com/question/16407547
#SPJ1
Sara sells fruit juices. She made 400 cups of fruit juice. By the end of the day, 34th of the quantity was sold. How many pints of fruit juice was sold?
To answer the question, we need to convert cups to pints, now here is a way to remember the gallon, quarts, to pints, and to cups
In the Kingdom of Gallons (Write a big G on your paper)
Inside the G write 4 Qs
There were four Queens
Inside the Qs write 2 ps
Each Queen had to princess
In each princess write 2 Cs
And each princess has two Cats
Now we know that there is 2 Cups in each Pints so
since she sold 34 cups of juice in cups then we divide 34 by 2 to get
17 PINTS
Answer:
150 pints
Step-by-step explanation:
I believe you meant "By the end of the day, 3/4th of the quantity was sold."
Recall that 2 cups = 1 pint, so 400 cups = 200 pints, and
3/4 th of that would be 150 pints.
2. How many 3-person groups can be formed in a club with 8 people?
Answer:
2
Step-by-step explanation:
8/3 = 2 with a Remainder of 2
someone please help me with this
Answer:
x = 60 degrees
Step-by-step explanation:
1. We know that a triangle has a total angle of 180. If we look at the image closely, triangle GEH can be found, and since we know two angles, which are 40 and 80, we can find the other angle. 180 - (40+80) = 60. Angle GEH is 60 degrees.
2. If angle GEH is 60 degrees, angle EFD will also be 60 degrees, since they have the same angle side. To prove this, we can use alternate interior angles. This means that if a line crosses two parallel lines, the inner angles made have the same size.
3. Since angle EFD is x, we can find that x is equal to 60 degrees.
would anyone be able to help me with this?
This graph has its maximum at 4. There is no minimum while the inflection is at 2, 10/3.
How to solve for the maximum of the graphWe have ( x-2²) (x-4)
x-2²) = 0, or x - 4
x - 2 = 0, x = 2
Hence we can see that the graph has its minimum at x = 4
b. The graph here does not have a local maximum
c. Next we have to find the point of inflectionTo do this you have to differentiate the equation
Use the product rule of differentiation in order to solve for the solution.
(x-2)²[ (x-4) 2 (x-2)]
This would then give us
x -2, 3x -10
In both equations we have to make x the subject of the equation
X = 2, x = 10/3
Hence the point of inflection is 2 and 10/3
Read more on minimum and maximum points here:
https://brainly.com/question/12120831
#SPJ1
Is -46x-23 = 46x+23 an infinite solution
Answer:
There is only 1 solution, and it is ½
Step-by-step explanation:
-46x - 23 = 46x + 23
46x + 46x = 23 + 23
92x = 46
x = 46 / 92
x = ½
Find the integral
∫(cos(1/x)) /x^2 dx
Answer:
Step-by-step explanation:
∫(cos(1/x)/x² dx
[tex]put~\frac{1}{x} =t\\diff.\\\frac{-1}{x^2} dx=dt\\\int(- cos~t~)dt=-sin~t+c\\=-sin (\frac{1}{x} )+c[/tex]
A-12 issue magazine subscription costs $36 what average cost per issue of magazine
The average cost per issue of magazine is $3
How to determine the average cost?The given parameters are:
Cost = $36
Issue = 12
The cost per issue is calculated as:
Average = Cost/issue
This gives
Average = 36/12
Evaluate
Average = 3
Hence, the average cost per issue of magazine is $3
Read more about average rates at:
https://brainly.com/question/12395856
#SPJ1
Todd and his friends are painting 5 equal sections of a wall. The wall is 10 feet tall, but its length is unknown.
Each section will be a different color, so they need to know the area of each section
1. Write an expression for the total area of the wall. Explain how you came up with your expression
The expression for the total area of the wall is 10x.
What is area of rectangle?
Let l be length and b be breadth of the rectangle.
Then the area is the product of length and breadth of the rectangle.
That is area = l* b
We can find the expression for the total area of the wall as shown below:
Let the total length of the wall be x.
Height=10 ft
Total area = Height*Length
Putting the value of length and breadth in the above formula.
Total area = 10*x
Total area = 10x
Hence, the expression for the total area of the wall is 10x.
Learn more about Area here:
https://brainly.com/question/9245509
#SPJ1
solve 4/7- (-4/7)
A. 8/7
B.-8/7
C.-4/7
D.4/7
Answer:
A. 8/7
Step-by-step explanation:
Step 14/7 - (-4/7) --> 4/7 + 4/7
The two minutes turn into a plus, removing the bracket.
Step 24/7 + 4/7 = 8/7
Add the two fractions together.
Answer:
A. 8/7
Step-by-step explanation:
43 POINTS!!,!,!!,!,!!
Alex went to a furniture shop to buy chairs and tables for his cafe. Find the maximum numbers of chairs he can buy if, he spent $300 for 3 tables cost of 1 chair is $30 and, he cannot spend more than $800 on the furniture.
Answer:
16 chairs
Step-by-step explanation:
800 - 300 = 500
500/30 = 16.6 since it's money you can only afford 16
Find the value of 2a + 3b
Answer: 19
Step-by-step explanation:
Using the sum of an arithmetic series formula,
[tex]\sum^{30}_{n=2} (an+b)=2407 \implies 29(16a+b)=2407 \implies 16a+b=83\\\\\sum^{40}_{n=1} (an+b)=4220 \implies 20(41a+2b)=4220 \implies 41a+2b=211[/tex]
Multiplying the second equation by 2 gives us [tex]32a+2b=166[/tex].
Subtracting this from the second equation, we get that [tex]9a=45 \implies a=5[/tex].
Substituting this back into the first equation, we get that [tex]b=3[/tex].
Therefore, [tex]2a+3b=2(5)+3(3)=19[/tex]
Find an angle between 0 and 360 that is coterminal with -60.
The angle which is coterminal with -60 between 0 and 360 is; 300°.
Which angle is coterminal with -60?Since, it follows that the representation of the angle -60 corresponds to 60° span in the clockwise direction.
Therefore, by going the conventional anticlockwise direction, the angle which is coterminal with -60 is; 300°.
Read more on coterminal angles;
https://brainly.com/question/23093580
#SPJ1
To fight a fire breathing dragon, a knight needs a sword made of Dragon Alloy #13, which contains 7% gold, 3% silver, and 90% magic steel. The dwarves promised to forge such a sword for the knight. At the moment, they have an alloy that contains magic steel, 21% gold, and 9% silver. How much of that alloy and how much magic steel do the dwarves have to combine to get 2.7 kg of Dragon Alloy #13?
Let [tex]x[/tex] and [tex]y[/tex] be the amounts of available alloy (AA) and pure magic steel that are used, so we also have
[tex]x + y = 2.7[/tex]
DA13 is supposed to contain 7% gold, 3% silver, and 90% steel, so that 2.7 kg of it is made up of
[tex]0.07 \times 2.7 \,\mathrm{kg} = 0.189 \,\mathrm{kg} \text{ gold}[/tex]
[tex]0.03 \times 2.7 \,\mathrm{kg} = 0.081 \,\mathrm{kg} \text{ silver}[/tex]
[tex]0.90 \times 2.7 \,\mathrm{kg} = 2.43 \,\mathrm{kg} \text{ magic steel}[/tex]
For each kg of the available alloy (AA), there is a contribution of 0.21 kg of gold, 0.09 kg of silver, and therefore 0.70 kg of steel; [tex]x[/tex] kg of it will contain [tex]0.21x[/tex] kg of gold, [tex]0.09x[/tex] kg of silver, and [tex]0.70x[/tex] kg of steel. Each kg of magic steel of course contributes 1 kg of steel; [tex]y[/tex] kg of it will contribute [tex]y[/tex] kg of steel.
Then the dwarves need
• total gold: [tex]0.21x = 0.189[/tex]
• total silver: [tex]0.09x = 0.081[/tex]
• total steel: [tex]0.70x + y = 2.43[/tex]
Solve for [tex]x[/tex] and [tex]y[/tex]. The first two equations are consistent and give [tex]x = 0.90[/tex], and substituting this into the third we find [tex]y = 1.80[/tex]. So the dwarves must combine 0.90 kg of AA and 1.80 kg of magic steel.