Michaela rode her bike on 14 2/3 mile trail. She stopped every 3 1/5 miles for a drink of water . Issac and Jake estimated how many times Michaela stopped.
Answers
Answer/Step-by-step explanation:
The rail = [tex] 14\frac{2}{3} miles [/tex]
She stops after every [tex] 3\frac{1}{5}miles [/tex] for a drink.
The number of times she stopped for a drink = [tex] \frac{14\frac{2}{3}}{3\frac{1}{5}} [/tex]
Change the fractions to improper fractions
[tex] \frac{\frac{44}{3}}{\frac{16}{5}} [/tex]
Change the division operation to multiplication, and then flip the fraction on your right upside down.
[tex] \frac{44}{3} \times \frac{5}{16} [/tex]
[tex] \frac{44 \times 5}{3 \times 16} [/tex]
[tex] \frac{220}{48} = 4.58 [/tex]
If we approximate this to the nearest whole number, we would have an estimate of 5.
✅Therefore, we can conclude that Michaela stopped 5 times.
The estimate given by Issac and Jake is omitted in the question. However, the person who got an estimate of 5 is the person who made a better estimate.
Related Questions
What is the slope of the line on the graph
Answers
Answer:
its 2
Step-by-step explanation:
for every 1 x value, the y increases by 2
Find the value of x and y
Answers
Answer:
I found it hard to explain through text so the answer and explanation is there in the picture given above.
don't mind my handwriting....
I was writing fast....
Step-by-step explanation:
i hope this helps...
please can I have brainliest?
it would be really nice if I got one...
have a great day ahead :)
You have $350,000 to invest. Which investment would yield the greater return in three years; an investment that pays 2.5% compounded monthly or an investment that pays 2.45% compounded daily?
Answers
Answer:
Its better to invest at 2.45% interest rate compounded daily.Step-by-step explanation:
We are given
Principal Amount = $350,000
Time t = 3 years
We need to determine which investment will yield greater return
a) 2.5% compounded monthly
b) 2.45% compounded daily
The formula used will be: [tex]A=P(1+\frac{r}{n})^{nt}[/tex]
a) 2.5% compounded monthly
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 12
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.025}{12})^{12*3}\\A=350000(1.0021)^{36}\\A=350000(1.079)\\A=377650[/tex]
So, the return of investment in 3 years would be $377650 if interest rate is 2.5% compounded monthly.
a) 2.45% compounded daily
We have P=$350,000 t= 3 years, r = 2.5 or 0.025 and n= 365
Putting values and finding A
[tex]A=P(1+\frac{r}{n})^{nt}\\A=350000(1+\frac{0.0245}{365})^{365*3}\\A=350000(1.000067)^{1095}\\A=350000(2.0821)\\A=728735[/tex]
So, the return of investment in 3 years would be $728735 if interest rate is 2.45% compounded daily.
So, if we invest 2.45% interest rate that is compounded daily we will make $728735 while if we invest 2.5% interest rate that is compounded monthly we will make $377650
So, its better to invest at 2.45% interest rate compounded daily.
Y=3/2x+3
y=-3 solve.
Answers
This type of problem, you set them equal to each other. And then solve. Don’t forget you can multiply each side by denominator to eliminate the fraction.
Work:
Suppose a rope is nailed to a pole 35 meters above the ground and extended away from the base of the pole. The distance from the base of the pole to the end of the rope is 15 meters. What is the angle made by the rope and the ground?
A. 21.2∘
B. 66.8∘
C. 25.4∘
D. 64.6∘
Answers
Answer:
[tex]B. \: \boxed{66.8}[/tex]
Step-by-step explanation:
[tex]to \: solve \: this \: little \: poblem : we \:apply \: the \: pythagrean \: rule \to \\ \boxed{SOH} \boxed{CAH} \boxed{TOA} \to \\ we \: are \: been \: given : \to \\ the \: \boxed{opp }\: of \: the \: required \: angle \: = 35. \\ the \: \boxed{adj }\: of \: the \: required \: angle \: = 15. \\ now \: lets \: apply \: \boxed{TOA}\to \: \tan( \theta) = \frac{opp}{adj} \to\\ \tan( \theta) = \frac{opp}{adj} = \frac{35}{15} = 2.3333333333 \\ \theta = \tan {}^{ - 1} (2.3333333333) \\ \boxed{\theta = 66.80}[/tex]
♨Rage♨
a) The sixth term of an AP is twice the 3rd term and the first term is 3. Find the common
difference and the 10th term
Answers
Answer:
Step-by-step explanation:
The nth term of an AP is expressed as;
Tn = a+(n-1)d
a is the first term
n is the number of terms
d is the common difference
Sixth term
T6 = a+(6-1)d
T6 = a+5d
Third term;
T3 = a+(3-1)d
T3 = a+2d
If the sixth term of an AP is twice the 3rd term, then
a+5d = 2(a+2d)
a+5d = 2a+4d
Given a = 3
3+5d = 2(3)+4d
5d-4d = 6-3
d = 3
Common difference is 3
For the 10th term
T10 = a+9d
T10 = 3+9(3)
T10 = 3+27
T10 = 30
Hence the tenth term is 30
Use elimination to solve the system.
5x - 2y - 39 = 0
2x + 5y - 33 = 0
The solution set is { }
(Simplify your answer. Type an ordered pair.)
Answers
Answer:
the answer to your question is (9,3)
What is the slope of the line?
Answers
Answer:
24'
Step-by-step explanation:
the slop aims for the angle in which the 78 can go in: hope this helps!!
What is the value of the expression below?
6 + 5(9 ÷ 3)2
Answers
Answer:
36
Step-by-step explanation:
Divide 9 and 3
6 + 5 x 3 x 2
6+30
= 36
6,726 ÷ 85
with the remainder
Answers
Answer:
79.13
Step-by-step explanation:
I am making mashed potatoes with 1.25 pounds of mashed potatoes, .14 pounds of olive oil, and .33 pounds of almond milk. How much will the final dish weigh?
Answers
Answer:
1.72 pounds
Step-by-step explanation:
1.25 + 0.14 + 0.33 =1.72 pounds
a.
ordered pairs: {(4, –2), (0, 6), (2, 8)}
b.
ordered pairs: {(–2, 4), (0, 6), (2, 8)}
c.
ordered pairs: {(4, –2), (0, 6), (8, 2)}
d.
ordered pairs: {(–2, 4), (6, 0), (8, 2)}
Please select the best answer from the choices provided
Answers
Answer:
Can you give me some more context?
write the expression n n n n n n using an exponent. Name the base and the exponent.
Answers
Answer:
n⁶
Step-by-step explanation:
Base= n
exponent=⁶
Anna works in sales and earns $100 each week plus $15 per sale. This week, she wants to be paid at least $500. Which inequality can be used to find the number of sales she needs to make?
A. 100-15x ≤ 500
B. 100+15x ≤ 500
C. 100-15x ≥500
D. 100+15x ≥ 500
Answers
Answer:
its B I think so yea
Step-by-step explanation:
please help asap question 2*****
Answers
Answer:
(11, 4)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASEquality PropertiesAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define systems
x + y = 15
-2x + 5y = -2
Step 2: Define variables
Given: x = 11
Step 3: Solve for y
Define equation: x + y = 15Substitute in x: 11 + y = 15Isolate y: y = 4A 2-column table with 7 rows. Column 1 is labeled x with entries 35, 35, 39, 44, 44, 48, 49. Column 2 is labeled y with entries 439, 440, 417, 615, 409, 403, 404. Leah claims the data in the table contains a cluster. Why is Leah’s statement true? There is no obvious outlier. The y-values are steadily increasing as the x-values are decreasing. The data contains a group of closely occurring points. Leah’s statement is not true.
Answers
Answer:
its c
Step-by-step explanation: A 2-column table with 7 rows. Column 1 is labeled x with entries 0.5, 1, 1.5, 1.5, 2, 2.25, 2.75. Column 2 is labeled y with entries 41, 35, 37, 36, 35, 30, 31.
The data set in the table forms a cluster and does not include outliers.
Which point, if added to the table, would be an outlier?
✔ (2.75, 41 )
Answer:
C. The data contains a group of closely occurring points
Step-by-step explanation:
Edge 2023
Which algebraic expression represents the phrase “seven more than half of a number”?
7 minus one-half x
Negative 7 + one-half x
One-half x + 7
Negative one-half x minus 7
Answers
Answer:
C: 1/2x +7
Step-by-step explanation:
Type an equation that can be used to answer the question in
the first box.
Then type the solution to the equation in the second box.
You are reading a book that has 150 pages. You have
already finished 60 pages and you are reading 3 pages per
day.
How many days will it take for you to finish the book?
Use d as the variable.
Answers
Answer:
3d + 60 = 15030 daysStep-by-step explanation:
Required equation is:
3d + 60 = 150Solution:
3d = 150 - 603d = 90d = 90/3d = 30 days$3.00 markup 72%
Thanks for helping
Answers
Answer:
$5.16
Step-by-step explanation:
3.00 times 0.72 is 2.16. Because it's a markup that means you add. 3.00 plus 2.16 is 5.16.
In a race, 47 out of the 50 swimmers finished in less than 35 minutes. What percentage of the swimmers finished the race less than 35 minutes?
47*_____=_______
50*_____=_______=______%
Answers
Answer:
94%
47*2=94
50*2=100
Step-by-step explanation:
Answer: 94% of the swimmers finished the race in less than 35 minutes.
Step-by-step explanation:
There are several ways to go about finding the answer. The best way to solve this, which can be easily applied to other percentage problems is dividing the number of swimmers who finished in this time (47) by the total number of swimmers (50) (Using a calculator).
47/50 = 0.94
To change a decimal to a fraction, move the decimal place over two spaces to the right. Therefore, 0.94 becomes 94%.
Way 2:
This only works because there the number of swimmers are a multiple of 100.
50 is 1/2 of 100. To get the full 100, you can multiply both the numerator and denominator by 2.
Multiply 47 by 2 to get 94 and 50 by 2 to get 100. Thus, 94/100 swimmers would have finished in under 35 minutes. 94/100 = 94%
1 As a part of her project, Flora made a scale drawing of the zoo with a scale factor of
1 inch = 5.77 feet. If the diameter of the bug carousel in the drawing was 3 inches, determine the
actual diameter of the carousel.
Answers
Answer:
honestly I have no idea
Step-by-step explanation:
1x-3x=2x
A basketball game has four quarters. The length of a game is 32 minutes. You play the entire game except 4.5 minutes. Write and solve an equation to find the mean time you play per quarter.
Answers
Answer: a little bit over 6 minutes i think
Step-by-step explanation:
the difference between a two-digit number and that number reversed is 18. What could that number be. List all possibility's.
Answers
9514 1404 393
Answer:
20, 31, 42, 53, 64, 75, 86, 97
Step-by-step explanation:
The difference of 18 means the difference of digits is 18/9 = 2. Since the number you seek is the larger number, the 10s digit will be 2 more than the 1s digit. Possible numbers are ...
20, 31, 42, 53, 64, 75, 86, 97
_____
If t and o are the tens and ones digits respectively, the relation you seek is ...
(10t +o) -(10o +t) = 18
9(t -o) = 18
t - o = 2 . . . . as above
Since both t and o must be single digits, the minimum will be t=2, o=0, and the maximum will be t=9, o=7.
Answer:
10a+b=10b+a-18
9a+9b = -18
9(a+b) = -18
a+b = 18/9
a + b =2
Step-by-step explanation:
help ⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️
Answers
Answer:
.66
Step-by-step explanation:
I need help don’t understand
Answers
okay first off: we both use the same virtual school and i just thought that was cool lol
the equation for g(x) is g(x)=4x-5 so when you substitute in x it becomes
g(x)= 4(2) -5 or g(x)= 8-5 which equals g(x)=3
when you substitute in x, f(x) becomes
f(x)= 2 + 1 which equals f(x)=3
therefore when x=2, both functions are equal :)
hope this helps!!
In a game, the probability of landing on yes is 1:2. How many times would you expect to land on yes if you spin the spinner 20 times?
Answer due at 12:00 pm Pacific Daylight Time.
Answers
Answer:
half of the time so 10 times
use distributive property to find 6×296
Answers
Answer:
296 x 6 = 1776
Step-by-step explanation:
Evaluate the expression when a=3 and b= 19.
b-4a
Answers
Answer:
7
Step-by-step explanation:
19 - 4(3) = 19 - 12 = 7
please give me a brainiest
Which expression has both eight and N factors
Answers
Answer:
8n
Step-by-step explanation:
8n is the factor of both 8 and n. in the following question. Factor ⇒ If a number, that use to divide another number and we get zero as a remainder, the number is called the factor of another number.
help me plssssssss :)