Answer:
Step-by-step explanation:
You need to set up a proportion.
(21 - 15) / 21 = 4/(x + 4)
6 / 21 = 4/(x + 4)
2/7 = 4/(x + 4)
2(x + 4) = 7*4
2x + 8 = 28
2x + 8-8= 28 - 8
2x = 20
x = 20/2
x = 10
A museum has 6,000 visitors in its first month of operation. The museum staff predicts that the number of visitors will increase by 5% each month. Assuming that this prediction is true, how many visitors does the museum expect on the 7th month of operation?
Multiply 5 by 6000 aka 30,000 then multiply 7 then to 210,000 please give brainliest
8100 visitors in 7th month.
What is Unitary Method?The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.
For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.
12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.
As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.
This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.
given:
Visitor in first month= 6000
If the visitors will increase at the rate of 5% then
Visitors in second month
=6000+ 6000 x 5/100
=6000 + 300
=6000
So, the visitors in 7 month
=6000+ 7(300)
=6000 +2100
=8100
Hence, there 8100 visitors in 7th month.
Learn more about unitary method here:
https://brainly.com/question/22056199
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For a soccer game, Mr Morant prepared 32 hot dogs. He sold 1/2 of the hot dogs to the fans. He sold 1/4 of the hot dogs to the coaches. How many hot dogs were left?
Answer:
it is nothing
Step-by-step explanation:
1-1=2
Can someone plzz answer this!!?
Answer: B Angle Side Angle
Step-by-step explanation:
Since line AB and CD are parallel angles D and A are congruent by the alternate interior theorem and both angles AOB and DOC are congruent by the vertical angle theorem and it already shows line OC and line OB are congruent.
The midpoint of a segment with endpoint (8,a) and (b,4) is (-1,-1)
What’s the value of a and b
Answer choices is
A. 10 b. 6
A.6 b.10
A. -6 b. -10
A. -10 b.-6
Answer:
(-10,-6)
Step-by-step explanation:
(8 + b) / 2 = - 1
(8 + b) = - 1 * 2
8 + b = - 2
b+8-8 = -2 - 8
b = - 10
=====================
(a + 4)/2 = -1
(a + 4) = - 2
a + 4 = -2
a + 4-4 = - 2 - 4
a = - 6
2. Which of the following states that if the product of two real numbers is zero, then either of the two is
equal to zero or both numbers are equal to zero?
A. Multiplication Property C. Identity Property
B. Zero Product Property
D. Transitive Property
Answer:
b
B zero product property
Answer:
The Zero property
Step-by-step explanation:
anything multiplied by zero will give you a product of zero
You make a necklace using blue,purple and green beads in ratio of 1:3:5. You use a total of 126 beads. How many green beads are in the necklace?
Answer:
Step-by-step explanation:
x + 3x + 5x = 126
9x = 126
x = 14 (blue beads)
3(14) = 42 (purple beads)
5(14) = 70 (green beads)
Please help me I will really appreciate it!!!
Answer:
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Step-by-step explanation:
solve for t
h = -[tex]\frac{1}{2}[/tex]a[tex]t^{2}[/tex] + 1; multiply both sides by -2
-2h = a[tex]t^{2}[/tex] - 2; add 2 to both sides
-2h + 2 = a[tex]t^{2}[/tex]; divide by a
(-2h + 2) / a = [tex]t^{2}[/tex] ; take the square root
t = [tex]\sqrt{\frac{-2(h-1)}{a} }[/tex]
Estimate the area of the figure. Each square represents 2 units^2.
Answer:
60 units²Step-by-step explanation:
Approximate area is about 50 units²
The closest option is the last one
True or False: A system of two equations in two variables whose graphs are a parabola and a circle can have four real ordered-pair solutions.
The parabola can intersect the circle four times as the graph shows below. Each intersection point is a solution in the form (x,y).
Is 46 a number in the sequence generated by 5n + 1
Answer:
231
Step-by-step explanation:
5.46+1
230+1
231
answer this?
Answer:
yes
Step-by-step explanation:
Equate 5n + 1 and 46 to find n, that is
5n + 1 = 46 ( subtract 1 from both sides )
5n = 45 ( divide both sides by 5 )
n = 9
Thus 46 is the ninth term in the sequence
Martin traveled at an average rate of 40 miles per hour for the first half of his trip. For the second half of his trip, he traveled at a rate of 60 miles per hour. How far did he travel in the 4-hour trip?
Answer:
Total distance traveled = 200 miles
Step-by-step explanation:
Total time taken for the trip = 4 hours
∴ The trip can be divided into two halves of 2 hours each.
1st half:
speed = 40 miles per hour
distance = speed × time
when time = 2 hours
distance = 40 × 2 = 80 miles
2nd half:
distance = speed × time
speed = 60 miles per hour
time = 2 hours
∴ distance = 60 × 2 = 120 miles
Combined distance traveled = 80 + 120 = 200 miles
help meeeeeeeeee plzzzzzzzzzzzzz
Answer:
91 x
Step-by-step explanation:
1.5m^6(-2m^2)^4
find the product
Translate the following statement: "Your grade, g, must be at least
75 to pass this class."
Answer:
"Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75Step-by-step explanation:
Given the grade is denoted by 'g'.
In algebra '≥︎' denotes that something must be 'greater than or equal to'. In other words, it means 'at least'.
As the gade must be at least 75, it means it can be greater than 75, but it can not be less than 75.
Therefore, "Your grade, g, must be at least 75 to pass this class'' is translated as:
g ≥︎ 75A brand new car costs $18,000, this price depreciates at 25% every year, how much would the car be after 12 years? 20 years?
Answer:
C(12)=$570.18
C(20)=$57.08
Step-by-step explanation:
Exponential Decay Function
The exponential function is often used to model natural growing or decaying processes, where the change is proportional to the actual quantity.
An exponential decaying function is expressed as:
[tex]C(t)=C_o\cdot(1-r)^t[/tex]
Where:
C(t) is the actual value of the function at time t
Co is the initial value of C at t=0
r is the decaying rate, expressed in decimal
The depreciation of goods is often modeled as an exponential function. The new car costs $18,000 and its price depreciates at r=25%= 0.25 every year.
The depreciation model is:
[tex]C(t)=18,000\cdot(1-0.25)^t[/tex]
Operating:
[tex]C(t)=18,000\cdot 0.75^t[/tex]
At t=12 years, the price will be:
[tex]C(12)=18,000\cdot 0.75^{12}[/tex]
C(12)=$570.18
At t=20 years, the price will be:
[tex]C(20)=18,000\cdot 0.75^{20}[/tex]
C(20)=$57.08
The photo shows a portion of an airport. The measure of Z4 is 84°. Find the measure
of Z3.
Help
Answer: 96°
180-84 = 96
I hope this is good enough:
What's the answer help pls
Answer:
48°
Step-by-step explanation:
The m in front of the angle notation refers to the measure of the angle labeled A, B and C (with vertex at B)
Two Angles are Supplementary when they add up to 180 degrees.
HENCE,
∠A + ∠B =180 (given)
⇒4x - 16 +8x + 4 = 180°
⇒12x - 12 = 180°
⇒12x = 192
⇒x = 16 ----1
substituting eq1 in ∠A,
=> 4(16) -16
=> 64 - 16
=> ∠A = 48°
Answer:
48
Step-by-step explanation:
The definition of supplementary means that the two angles add up to 180. so you set both expressions up to where they add to 180. like this
4x-16+8x+4=180
combine like terms
12x-12=180
12x=192
divide to get x
x=16.
You need the measure of angle A so you plug it back in
4(16)-16
64-16
48 is the measure of angle A, and since these angles are supplementary, that means angle B is 132
Which pair of radicals is a pair of like radicals
Extremely easy question marking Brainliest answer
Answer:
It is hard to tell from this image, but I believe the word you are looking for is Integer. Integers are any positive or negative whole number.
V(t), left parenthesis, t, right parenthesis models the number of visitors in a park as a function of the outside temperature t (in degrees Celsius).
Look at picture posted below.
t 18 20 37
------------------------
v(t) 10 18 46
When does the number of visitors in the park increase faster?
Choose 1 answer:
(A). Between outside temperatures of 181818 degrees Celsius and 202020 degrees Celsius
(B). Between outside temperatures of 202020 degrees Celsius and 272727 degrees Celsius
(C).The number of visitors increases at the same rate over both intervals
Answer:
The number of visitors increases at the same rate over both intervals
Step-by-step explanation:
The unit rate at which the number of visitors in the park increases over a given temperature interval is called the average rate of change, or ARCARCA, R, C.
To find the average rate of change of a function over an interval, we need to take the total change in the function value over the interval and divide it by the length of the interval.
Hint #22 / 3
We are asked to compare the rates at which the number of visitors increases over the interval between an outside temperature of 181818 degrees Celsius and 202020 degrees Celsius, and over the interval between an outside temperature of 202020 degrees Celsius and 272727 degrees Celsius. These correspond to the domain intervals [18,20][18,20]open bracket, 18, comma, 20, close bracket and [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Let's calculate the average rate of change of VVV over those intervals:
ARC_{[18,20]}ARC
[18,20]
A, R, C, start subscript, open bracket, 18, comma, 20, close bracket, end subscript ARC_{[20,27]}ARC
[20,27]
A, R, C, start subscript, open bracket, 20, comma, 27, close bracket, end subscript
\begin{aligned} \dfrac{V(20)-V(18)}{20-18}&=\dfrac{18-10}{2}\\\\&=\dfrac{8}{2}\\\\&=4\end{aligned}\quad
20−18
V(20)−V(18)
=
2
18−10
=
2
8
=4
\begin{aligned} \dfrac{V(27)-V(20)}{27-20}&=\dfrac{46-18}{7}\\\\&=\dfrac{28}{7}\\\\&=4\end{aligned}
27−20
V(27)−V(20)
=
7
46−18
=
7
28
=4
Hint #33 / 3
The average rate of change over the interval [18,20][18,20]open bracket, 18, comma, 20, close bracket is the same as the average rate of change over the interval [20,27][20,27]open bracket, 20, comma, 27, close bracket.
Therefore, the number of visitors increases at the same rate over both intervals.
Using the average rate of change, it is found that the correct option is:
(A) Between outside temperatures of 18 degrees Celsius and 20 degrees Celsius.
The rate of change of a function is given by the change in the output divided by the change in the input.
When the temperature changes from 18 to 20 degrees, the number of visitors increase from 10 to 18, thus, the rate of change is:
[tex]r = \frac{18 - 10}{20 - 18} = \frac{8}{2} = 4[/tex]
When the temperature changes from 20 to 37 degrees, the number of visitors increase from 18 to 46, thus, the rate of change is:
[tex]r = \frac{46 - 18}{37 - 20} = \frac{28}{17} = 1.65[/tex]
First case has higher rate of change, thus, option A is correct.
A similar problem is given at https://brainly.com/question/20732437
Please I’m really confused which one it is please help
Answer:
The top one on the left
Step-by-step explanation:
Lines a and b are parallel. Line c is a transversal. FInd the measures of all angles formed by a, b, and c, given each scenario. One of the angles measures 150 degrees.
Answer:
30° and 150°
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
Answer:
30 and 150
Step-by-step explanation:
Given
Parallel lines a and b
Transversal c
Angle = 150°
Required
Determine the list of possible angles
A transversal divides a parallel line into two measure which add up to 180°
Given that one of the angles is 150°, the other angle would be 180° - 150°
Other angle = 180° - 150°
Other angle = 30°
Aside 30° and 150°, there's no other possible angle that can be formed by the given information
The graph shows that the distance a dog runs is proportional to the time the dog is running. You want to use only one plotted point to find the unit rate. Which of the three plotted points could you choose? Select all that apply.
(0,0)
(1,9.7)
(4,38.8)
Question 2
The unit rate is
feet per second.
Answer:
2
Step-by-step explanation:
2
ax = bc - c solve for x
Answer:
X = c - b/a
Step-by-step explanation:
Answer:
x=bc/a - c/a
You simplify it like you would any equation, only difference is it does not have numbers.
slope of (-3, 1), (1, 9) and slope of (-2, -9), (-1, -7)
Answer:
8/4 and 2/1(or just 2)
Step-by-step explanation:
slope formula- (y2-y1)/(x2-x1)
plug in the numbers-
(9-1)/(1+3) and (-7+9)/(-1+2)
PLEASE HELP ME 16 POINTS PLEASE HELP
Answer:
A.
Step-by-step explanation:
Answer:
The answer is the first one but don't quote me on that
Step-by-step explanation:
Which of the following mathematical properties is described by the statement, “whatever is done on one side of the equation must also be done on the other side of the equation”?
Identity Property of Addition
Associative Property
Communitive Property
Property of Equality
today guys please
Answer:
Property of Equality
Step-by-step explanation:
Answer:Property of Equality
STEP BY STEP EXPLANATION HAS BEEN CANCELED ITS EASY:
PLEB
Can a right triangle have sides of 12, 16, and 20?
WORTH 15 POINTS
⚠️MAKE SURE TO USE SURDS ⚠️
ANSWER ASAP WILL GIVE BRAINLIEST
Answer:
i got 1.23 don't think its right though so someone check me
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
First thing is you have to do the square root of 3. Which will give you a crazy long decimal but then after you square it, it becomes 3 perfectly.
A map has a scale of 1 inch = 20 miles. The distance on a map between two cities is 3 1/4 inches. How far apart are the two cities?