The common ratio of 1.5 by which the distance Gavin rides on each subsequent day of 1.5 indicates;
Part A; Day 1; x, Day 2; 1.5·x, Day 3; 1.5²·x, Day 4; 1.5³·x
Part B; Gavin rides 8 meters on day 1, 12 meters on day 2, 18 meters on day 3, and 27 meters on day 4
What is a common ratio in a sequence?A common ratio is a value that is used to divide or multiply at each stage in a sequence.
The distance Gavin wants to ride each day = 1.5 × The distance he rode on the previous day
The common ratio of the distance Gavin plan to ride on each subsequent day is 1.5, therefore;
Part A; Where x represents the distance Gavin bikes on the first day, we get;
Day 1; Distance Gavin rides = x
Day 2; Distance he rides = 1.5·x
Day 3; Distance he rides = 1.5²·x
Day 4; Distance he rides = 1.5³·x
Part B; The equation that represents Gavin's situation can be found from the expression for the distance he rides each day by adding the distances equating the result to the distance Gavin wants to bike in total, as follows;
x + 1.5·x + 1.5²·x + 1.5³·x = 65
x·(1 + 1.5+ 1.5² + 1.5³) = 65
x = 65/(1 + 1.5+ 1.5² + 1.5³) = 8
x = 8 meters
The distance Gavin rides on each day are therefore;
Day 1; Distance, x = 8 meters
Day 2; Distance, 1.5·x = 1.5 × 8 = 12 meters
Day 3; Distance, 1.5²·x = 1.5² × 8 = 18 meters
Day 4; Distance, 1.5³·x = 1.5³ × 8 = 27 meters
Learn more on the common ratio of a sequence here: https://brainly.com/question/3000144
#SPJ1
1. What is the product of a number and its multiplicative inverse?
2. Find the multiplicative inverse of each number.
A. 5/3
B. −1/5
C. −3
Answer: 1. 5^3
2.-5/1
3. -1/3
Step-by-step explanation:
Which is the better deal: $1.99 for 24 ounces or $1.79 for 20 ounces?
Answer:
1.99 for 24 ounces
Step-by-step explanation:
Write the equation of the absolute value function with the following transformations:
Translate left 12 units, stretch by a factor of 4, and reflect over the x-axis.
Answer:
y = - 1/4 | x + 12 |Step-by-step explanation:
Showing the function and transformation steps
Absolute value function
y = | x |Translate left 12 units
y = | x + 12 |Stretch by a factor of 4
y = 1/4 | x + 12 |Reflect over the x-axis
y = - 1/4 | x + 12 |Refer to attached for a graph
What is the solution to the nearest tenth to the equation below?
0.3y = -2
Answer:
y=-6.6
hope this helps
What is the length of c in inches
Answer:
[tex]\sqrt{500}[/tex] inches
Step-by-step explanation:
a^2+b^2=c^2
10^2+20^2=c^2
100+400=c^2
c^2=500
[tex]\sqrt{500}[/tex]
Jacob ran 4 miles on Monday, 4.5 miles on Tuesday, and 3 on Wednesday.
How many total miles did Jacob run?
Students in a large psychology class measured the time, in seconds, it took each of them to perform a certain task. The times were later converted to minutes. If a student had a standardized score
of z=1.72 before the conversion, what is the standardized score for the student after the conversion?
A) z=0.26
B) = 1.03
z=1.72
2 = 1.98
The standardized score for the student after the conversion cannot be determined.
Answer: z= 1.72
Step-by-step explanation:
Don’t ask me how I guessed and it was right
The standardized score for the student after the conversion is z=1.72. The correct option is C.
What is a standardized score?In statistics, standardization is the process of putting different variables on the same scale. This process allows you to compare scores between different types of variables. Typically, to standardize variables, you calculate the mean and standard deviation for a variable.
A student had a standardized score of z=1.72 before the conversion.
We know that, z=(x-μ)/σ
The standardized score is z=1.72
Therefore, option C is the correct answer.
Learn more about the standardized score here:
https://brainly.com/question/24210074.
#SPJ2
A family paid $26.400 as a down payment for a home. If this represents 16% of the price of the home, find the price of the home.
The price of the home is $?
The perimeter of the rectangular Garden is given by the equation 2W+33=54. What is W, The width of the garden in feet?
Answer:
Step-by-step explanation:
First subtract 54-33. Which gives you 21.
Then divide 21 by 2 since 2w means you're multiplying 2 to something. So w=10.5
If daquan had a bag of candy that contains 8 grape candy’s 5 cherry candies 3 lemon candies and 6 lime candies what is the probability that he will select a cherry candy put it back in the bag and select a grape candy
Answer:
Step-by-step explanation:
First, we have to figure out how many there are all together.
22
so it is going to be
5/22 to get a cherry candy
and to put it back and get a grape is
8/22
ASAP JUST ANSWER NO WORK
Answer:
Step-by-step explanation:
answer is b.
the domain may not be used more than once
Find f(-2) when f(x) = 2x2 + 5x - 4
A) -10 B) -6
C) 2 D) 14
Answer:
-6
Step-by-step explanation:
f(x) = 2x2 + 5x - 4
Let x=-2
f(-2) = 2*(-2)^2 + 5(-2) - 4
= 2 * 4 +5(-2) -4
= 8-10-4
= -6
50 Points!!!!!!!!! I need ASAP
What is the equation of the line?
y=3/4x+1
y=4/3x+1
y=3/4x−1
y=4/3x−1
Answer:
y=4/3+1
Step-by-step explanation:
The y-intercept is positive 1,
The slope form is always rise over run,
Therefore rising from 1 takes us to 5 then we run 3 times, so it takes us to (3,5)
In a survey of 347 people, the data presented in Table 3
were obtained relating gender to political orientation. A
person is randomly selected. What is the probability that the person is:
Republican given that the person is Male?
Female given that the person is a Democrat?
Answer:
347 people relating person male 3 given
1 1/2 - 7/8 what is the answer i got 7/8 but it is wrong
Answer:
[tex] \frac{37}{8} [/tex]
Step-by-step explanation:
[tex] \frac{11}{2} - \frac{7}{8} [/tex]
LCM of denominator
[tex] = \frac{88 - 14}{16} [/tex]
[tex] = \frac{74}{16} [/tex]
reduce to lowest term
[tex] = \frac{37}{8} [/tex]
Answer please please please please
Answer:
answer what?
Step-by-step explanation:
69+ m - m; use m=8, and q=3
help please please please
Answer:
definition : Since, point K is the image of point J under a reflection across line L. Also refrection of a point across a line form an angle of 90 degrees at the point of refrection.so, the measure of jm is 90 degrees.
i need help with this
Answer:
b would be your answer
Step-by-step explanation:
what about it you need help with?
Use the following information to complete parts I, II and III.
1 hour = 3,600 seconds
1 year = 31,556,952 seconds
Part I: Use scientific notation to estimate the number of hours in one year.
Part II: Use scientific notation to calculate the exact number of hours in one year.
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Answer:
see below
Step-by-step explanation:
Part I: Use scientific notation to estimate the number of hours in one year
Using the conversion factors
Estimate using scientific notation
31,556,952 seconds = 3.2 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.2 /3.6 =.88888 (repeating)
10^7 / 10^2 = 10^5
8.88888 * 10 ^5
8.888 * 10 ^4 hours
Part II: Use scientific notation to calculate the exact number of hours in one year.
31,556,952 seconds = 3.1556952 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.1556952 /3.6 =.876582
10^7 / 10^2 = 10^5
.876582 * 10 ^5
8.76582*10^4 hours
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.
Answer:
see below
Step-by-step explanation:
Part I: Use scientific notation to estimate the number of hours in one year
Using the conversion factors
Estimate using scientific notation
31,556,952 seconds = 3.2 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.2 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.2 /3.6 =.88888 (repeating)
10^7 / 10^2 = 10^5
8.88888 * 10 ^5
8.888 * 10 ^4 hours
Part II: Use scientific notation to calculate the exact number of hours in one year.
31,556,952 seconds = 3.1556952 * 10^7
3600 seconds = 3.6 * 10 ^2
1 year = 3.1556952 * 10^7 seconds * 1 hour/ 3.6 * 10 ^2 seconds
3.1556952 /3.6 =.876582
10^7 / 10^2 = 10^5
.876582 * 10 ^5
8.76582*10^4 hours
Part III: In two or more complete sentences, compare your answers to parts I and II. In your comparison, discuss similarities and differences in your answers.
Part II is an exact answer, where Part I is an estimate. Both Parts give values in the thousands of hours, and are both between 8700 and 8900 hours. Part I can be done without a calculator where Part II is much harder to do without a calculator.
Find the distance between (2. 10) and. (3. -8)
Answer:
-18
Step-by-step explanation:
2x²-2x-5=0
solve it using Δ=b²-4ac
Answer:
44
Step-by-step explanation:
The ratio of the number of boys in the choir to the number of girls is 5 to 4. There are 60 girls in the choir. How many boys are in the choir?
Answer:
Ratio of boys to girls,
=> 5:4
If there are 60 girls, then the number of boys
= 5 * 15 : 4 * 15
=> 75 : 60
Therefore, there were 75 boys in the choir
If my answer helped, kindly mark me as the brainliest!!
Thank You!!
The number of boys in the choir is 75 when there are 60 girls.
Given information:
The ratio of the number of boys in the choir to the number of girls is 5 to 4 [tex]\left( \dfrac{5}{4}\right)[/tex].
There are 60 girls in the choir.
Let the number of boys in the choir be x. We need to find the value of x.
The number of boys, x, can be calculated as,
[tex]\dfrac{x}{60}=\dfrac{5}{4}\\x=60\times \dfrac{5}{4}\\x=15\times5\\x=75[/tex]
Therefore, the number of boys in the choir is 75 when there are 60 girls.
For more details, refer to the link:
https://brainly.com/question/1301963
Question 12
Given that Zlis a complement of 22 and mZ2 = 17°, find mZ1?
Answer: B) 73
Step-by-step explanation:
Complementary angles are 2 angles which add up to 90.
90 - 17 = 73
Select all expressions below that are irrational.
−13
-
1
3
0.6⎯⎯
0
.
6
¯
12√3
12
3
(2‾√)2
2
2
8‾√
8
Answer: All but the second answer.
Step-by-step explanation:
owing activity, practice rounding whole numbers and decimals.
12.662
Round to the nearest hundredth. Do
not write extra zeros.
Answer:
12.660 or 12.66
Step-by-step explanation:
12.662
12.660
2 is closer to 0 than it is to 10 so it doesn't make the 6 round up anymore than it already is. the 2 turns to a 0 and everything else stays the same
Answer:
12. 662 to the nearest hundredth that is
12.66
Last month , Carter ran 48 miles. This was 60% of his goal. How many miles did cater set as his goal.
Thinking of giving out Brainlist :)
Answer:
116?
☹️
Step-by-step explanation:
Applications
Solve.
A(x) =
9. Triangles: The area of a triangle is į the product of its base and its height. If
the area of the triangle shown is given by the function A(x)=x2 + 24x, find
representations for the lengths of its base and its height (where the base is longer
than the height).
2
Answer:1.The length of a rectangle exceeds its width by 9 feet. if the length were halved and the width increased by 4 feet, the area of the new rectangle would degree by 7 square feet. Find the dimension of the original rectangle
2. The base of the triangle is 3 meters more than its height. if the area of the triangle is 189 square meters. find the base and height of the triangle.
3. Let m be a constant. suppose the function f(x)=18-MX-2x^2 has a maximum value of 225/8. Find all possible values of m.
4. Let m be constant. suppose the function f(x)= x^2+mx+52 has a minimum value of 36. Find all possible values of m.
Step-by-step explanation:
Help me please!!!
An officer building 55 ft tall cast a shadow 30 ft long. How tall is a person standing nearby who cast a shadow 3 ft long
what can you divide 23 by
Answer:
1 and 23
Step-by-step explanation:
if you are talking about factors then yeah, you cant divide 23 by anything else
hope this helps
