Answer: 350 adult tickets
Step-by-step explanation:
(omg I remember this question!)
a stands for the number of adult tickets soldstudent tickets : a + 65
the equation for the prob:
765 = a + (a + 65)
solve:
combine 'like terms'
1.) 765 = a + a + 65
2.) 765 = 2a + 65
- 65 - 65
700= 2a
divide by 2
700/2 = 2a/2
(700/2 = 350)
(the "2" in 2a is cancelled out by the other 2)
350 = a
A scientist is studying the growth of a particular species of plant. He writes the following equation to show the height of the plant f(n), in cm, after n days:
f(n) = 12(1.03)n
What is the average rate of change of the function f(n) from n = 3 to n = 10, and what does it represent? (4 points)
Answer:
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
Step-by-step explanation:
Average rate of change:
The average rate of change of a function f(x), from x = a to x = b, is given by:
[tex]A = \frac{f(b)-f(a)}{b-a}[/tex]
In this question:
[tex]f(x) = 12(1.03)^n[/tex]
From n = 3 to n = 10
[tex]a = 3, b = 10[/tex]
[tex]f(b) = f(10) = 12(1.03)^{10} = 16.13[/tex]
[tex]f(a) = f(3) = 12(1.03)^{3} = 13.11[/tex]
Average rate of change:
[tex]A = \frac{f(b)-f(a)}{b-a} = \frac{16.13-13.11}{10-3} = 0.4314[/tex]
The average of rate was of 0.4314 cm/day, which means that on average, during this interval, the plant grew by 0.4314 cm each day.
Pls help I’ll brainlest
Answer:
B.) 0.00692
Step-by-step explanation:
6.92 x 10^-3
0.00692
the end of day values of a stock market index for the week of December 9-13 are graphed to the right
Answer: 33.4
Step-by-step explanation:
John's salary is $1250 a month plus a 5% commission on all his sales. What must the amount of his sales be to earn at least $1500 each month?
also it's not $15,000
Answer:
5,000
Step-by-step explanation:
5,000 x .05 = 250
250 + 1,250 = 1,500
James made 20 basketball shots in 15 minutes.
What is the number of basketball shots James can make in 45 minutes?
А
60
B
45
С
34
D 7
write a recursive formula for the following sequence 25,43,61,79,97
F(1)= 25
F(n)= F (n-1) +18
Given:
The sequence is:
25,43,61,79,97
To find:
The recursive formula for the given sequence.
Solution:
We have,
25,43,61,79,97
Here, the first term is 25. Now, the differences between the two consecutive terms are:
[tex]43-25=18[/tex]
[tex]61-43=18[/tex]
[tex]79-61=18[/tex]
[tex]97-79=18[/tex]
The differences between the two consecutive terms is common, i.e., 18. So, the given sequence is an arithmetic sequence.
The recursive formula of an arithmetic sequence is:
[tex]F(n)=F(n-1)+d[/tex]
Where, d is the common difference and F(1) is the first term.
Putting [tex]d=18[/tex], we get
[tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].
Therefore, the required recursive formula is [tex]F(n)=F(n-1)+18[/tex], where [tex]F(1)=25[/tex].
Help ASAP pls I will give brainlist
Answer:
Step-by-step explanation:
There is a issue here...
is the spotted blue section considered "a blue sector"?
Assuming that "blue" or "red" is only a solid blue or red, this is the answer...
1) (1/10)* (3/10) = .03
2) (3/10) * (3/10) = 9/100 = .09
3) (3/10) * (1/10) = 3/100 = .03
4) (4/10) * (3/10) = 12/100 = .12
if the spotted blue and the solid blue are considered blue then this would be the result ...
1) (1/10)* (3/10) = .03
2) (4/10) * (3/10) = 12/100 = .12
3) (3/10) * (1/10) = 3/100 = .03
4) (8/10) * (3/10) = 24/100 = .24
Emelyn is comparing the rates of two different gardening companies for her camp site. The table below shows the rates for Log Edge Landscaping. Log Edge Landscaping Hours Worked 1.5 3 3.5 4.5 Total Cost $26 $44 $50 $62 The equation below represents the rates for Gatewood Gardening Services, where x represents the hours worked and y represents the total cost, in dollars. Compare the rates of both companies, and graph the relationship that represents the cost for the company with a greater rate of change.
Answer:
See Explanation
Step-by-step explanation:
Given
Edge Landscaping:
[tex]\begin{array}{cc}{Hours} & {Total} & {1.5} & {\$26} & {3} & {\$44} & {3.5} & {\$50} & {4.5} & {\$62} \ \end{array}[/tex]
The rates (m) of the above table is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
From the table, we have the following points
[tex](x_1,y_1) = (1.5,26)[/tex]
[tex](x_1,y_1) = (4.5,62)[/tex]
So, the rate is:
[tex]m = \frac{62 - 26}{4.5 - 1.5}[/tex]
[tex]m = \frac{36}{3.0}[/tex]
[tex]m = 12.0[/tex]
This means that the rate of edge landscaping is $12.0 per hour
The equation for Gatewood is not given. Hence, the rate cannot be calculated. However, the general procedure of calculating rates from a linear equation is as follows;
A linear equation is of the form:
[tex]y = mx + b[/tex]
Where:
[tex]m \to slope\ or\ rates[/tex]
In other words, if the equation is:
[tex]y = 20x + 5[/tex]
Then the rate is: 20 ($20/hour)
If the equation is: [tex]y = 10x + 5[/tex]
Then the rate is 10 ($10/hr)
Next, is to compare the rates;
For Edge landscaping, we have:
[tex]m = 12.0[/tex]
For Gatewood, we have:
[tex]m = 10[/tex] ------------ assume the equation is: [tex]y = 10x + 5[/tex]
Compare the rates:
[tex]12 > 10[/tex]
Hence, Edge landscaping has a greater hourly rate
Round 263.492 to the nearest tenth.
Answer:
260.
because 263 is below 265 so it wont change to 270.
1 Joseph weighs 100 pounds and his sister weighs 100 pounds. How much do they weigh together? 15 a. 4 200 pounds 4 100 15 15 pounds b. d. 2 200 pounds 20 5 200 pounds 15 Please select the best answer from the choices provided O A OB Ос D
Find c,d, & e if A=127 B=90 and F= 111
Answer:
C) 143
D) 37
E) 74
Step-by-step explanation:
C) 180 - 37 = 143
D) 180 - 143 = 37
E) 180 - 37 - 69 = E
find the missing angle measures by examining the angle relationships first
m
m
m
∠ b = 43° — — { Vertical opp. angles]
Now, see 43 and a are together compromising the linear pair so,
= 43 + a = 180°
= a = 180 - 43
= a = 137
Like b, similarly here also a = c = 137° {Vertical opp. angles}
RDTQ is a trapezoid. Find measure of angle R
Answer: 170°
Step-by-step explanation: 8x +34 - (6x-22) =90 ==> 2x +56 =90 ==> x = 17 ==> góc R = 8*17 +34 = 170°
If a 32-gram serving of pasta contains 4g of protein, how many grams of protein are in a 908-gram box of the pasta ?
Step-by-step explanation:
This is my solution you honestly just need to cross multiply
Answer:
113.5
Step-by-step explanation:
32 : 4 = 908 : X
X = (4 * 908) / 32
X = 113.5
Find the dicontinuities of the function.
f(x) =
x2 + 12x + 27
x2 + 4x + 3
.
There is a removable discontinuity at
(
,
).
Answer:
Step-by-step explanation:
I'm assuming you meant to type in
[tex]f(x)=\frac{x^2+12x+27}{x^2+4x+3}[/tex] because you can only have removable discontinuities where there is a rational (fraction) function. Begin by factoring both the numerator and denominator to
[tex]f(x)=\frac{(x+3)(x+9)}{(x+1)(x+3)}[/tex] and cancelling out like terms would have us eliminating the (x + 3). That is where there is a removable discontinuity. It leaves a hole. The other discontinuity, (x + 1) doesn't cancel out so it is a non-removable discontuinity, which is a vertical asymptote.
The removable discontinuity is at -3. There is no y value at x = -3 (remember there's only a hole here), because -3 causes the denominator to go to 0 and we all know that having a 0 in the denominator of a fraction is a big no-no!!!
the ratio of the measures of the angles in quadrilateral dogs is 5:8:12:15. find the measure of the largest angle.
Answer:
135º
Step-by-step explanation:
Total parts
5 + 8 + 12 + 15 = 40
Value of each part; 360º in a quadrilateral
360 / 40 = 9
Largest angle
15 * 9 = 135º
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
3/10 30%.3
hooe its write
What is the first term of the sequence with nth term formula 100n + 3?
Submit Answer
Answer:
Step-by-step explanation:
To find out the first three terms of 3n + 2 substitute 1 ,2 and 3 into the equation. 3(1)+2=5 3(2)+2=8 3(3)+2=11 As you can see the sequence goes up in 3s 5 ,8, 11 To find out the 10th term you also substitute 10 into the equation so 3(10)+2=32 Hope this helped!
answer is in photo above
find the slope of the graph
Answer:
We count across to 4 on y axis = 2
and count down from 4 to -2 on x axis = -6
-6/2 = -3
m = -3
We know its minus because the reciprocal is the perpendicular imaginary line and if -3 is for the descending line then any ascending perpendicular line would show m = -1/-3 = 3
Step-by-step explanation:
If PQ = 4i+3j+2k, find /PQ/
Answer:
| PQ | = [tex]\sqrt{29}[/tex]
Step-by-step explanation:
Given
PQ = ai + bj + ck , then
| PQ | = [tex]\sqrt{a^2+b^2+c^2}[/tex]
Here PQ = 4i + 3j + 2k , then
| PQ | = [tex]\sqrt{4^2+3^2+2^2}[/tex] = [tex]\sqrt{16+9+4}[/tex] = [tex]\sqrt{29}[/tex]
showing ALL calculations, whether this statement is valid
Rammone invests R505 050.00 for three years at a banking institution when
will grow at 5% compound interest per year.
2.2.1
Use a yearly STEP by STEP or a long method and calculate the
interest earned after three years. (Do not use the compound intere
formula.)
Answer:
RM79 608.51
Step-by-step explanation:
First year,
RM505 050.00×5%=RM505 050.00×5/100
=RM25 252.50
second year,
(RM505 050.00+RM25 252.50)×5%=RM530 302.50×5/100
=RM26 515.13
third year,
(RM530 302.50+RM26 515.13)×5%=RM556817.63×5/100
=RM27840.88
three years interest,
RM25 252.50+RM26 515.13+RM27840.88=RM79608.51
I don't know that is R or RM
if it is R ,sorry
Hope can help!
one half plus one third
Answer:
0.83333333333
Step-by-step explanation:
One-half plus one-third equals 5/6 or 0.8333.
Given that:
Expression: 1/2 + 1/3
To add one-half (1/2) and one-third (1/3), to find a common denominator and then add the fractions together.
The least common denominator (LCD) of 2 and 3 is 6. To convert the fractions to have a common denominator of 6, multiply the numerator and denominator of 1/2 by 3, and the numerator and denominator of 1/3 by 2:
1/2 × 3/3 = 3/6
1/3 × 2/2 = 2/6
Now that the fractions have a common denominator of 6, add them:
3/6 + 2/6 = 5/6
3/6 + 2/6 = 0.8333
Therefore, one-half plus one-third equals 5/6 or 0.8333.
Learn more about Divisor here:
https://brainly.com/question/30925934
#SPJ6
Which equation is equivalent to f(x) = -3(x-2)^2 + 14?
Answer:
-3x² + 12x + 2
Step-by-step explanation:
[tex]-3(x-2)^2+14\\-3(x-2)(x-2)+14\\-3(x^2-4x+4)+14\\-3x^2+12x-12+14\\-3x^2+12x+2[/tex]
witch value of x makes this eqation true -12x-2(x+9)=5(x+4)
Answer:
x = -2
Step-by-step explanation:
Leigh plans to estimate the area of the figure on the grid by identifying the full and partial squares that make up the figure.
Given that ABCD is a rectangle, find the perimeter of the figure below. Round your answer to the nearest tenth. *
Options
18 ft
19.7 ft
21 ft
24.4 ft
9514 1404 393
Answer:
(b) 19.7 ft
Step-by-step explanation:
The perimeter of the figure is the sum of the lengths of the 3 straight sides and half the circumference of a 3-ft circle.
P = 6 + 3 + 6 + (1/2)(π)(3) = 15 +3/2π ≈ 19.712 . . . feet
The perimeter is about 19.7 feet.
help simplify √10/18
Answer:
Letter A
Step-by-step explanation:
Hope this helps
Answer:
its A
Step-by-step explanation:
in Lindsay's class, there were three students who scored 90 on a test and six students who scored 40 on a test. what is the mean of the scores in the class?
Answer:
((90*3)+(40*6))/9
=(90+90+90+40+40+40+40+40+40)/9
=66.66
Step-by-step explanation:
A, higher than her sisters score
WHAT IS THIS HELP- 20 points i think-
Answer:
(6,5)
Step-by-step explanation:
To keep the sides parallel, the y coordinate must be the same as the top point so y = 5
The distance between the bottom points is 1, so the distance between the top points must be 1
The point could be at 5-1 =4 or 5+1 = 6
(4,5) or (6,5)
Given the choices listed
20 points
Evaluate the function graphically find f(-6)
Answer:
Five
Step-by-step explanation:
Just look at the point where x=-6
