Answer:
Jenny cycles the grand distance of 29 and one third of a mile.
Step-by-step explanation:
I want to answer this using fractions and without multiplying by an awkward recurring decimal.
Cycling 11 miles in 45 minutes and continuing at the same speed means she will go 22 miles in 90 minutes
To scale up 90 mins to the required 120 mins (2 hours) multiply by 4/3.
22 x (4/3) = 88/3
Jenny will travel 88/3 miles in 2 hours.
Not happy with top heavy fractions?
Let's round up 88/3 to 90/3 by adding 2/3.
90/3 = 30 and to get back to the answer we just take away the two thirds we added when rounding up.
Jenny cycles the grand distance of 29 and one third of a mile.
I think that is the correct answer.
What is the value of point a on the number line?
I need help ASAP
Answer:
The answer is 7/6
You deposit $300 in a savings account that pays 6% interest compounded semiannually. How much will you have at the middle of the first year? How much at the end of one year?
Answer:
Please check the explanation.
Step-by-step explanation:
a) How much will you have at the middle of the first year?
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 0.5 years
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
substituting the values
[tex]A=300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(0.5\right)}[/tex]
[tex]A=300\cdot \frac{2.06}{2}[/tex]
[tex]A=\frac{618}{2}[/tex]
[tex]A=309[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 0.5 years is $ 309.00.
Part b) How much at the end of one year?
Principle P = $300
Annual rate r = 6% = 0.06 per year
Compound n = Semi-Annually = 2
Time (t in years) = 1 years
Total amount = A = ?
Using the formula
[tex]A\:=\:P\left(1+\frac{r}{n}\right)^{nt}[/tex]
so substituting the values
[tex]A\:=\:300\left(1+\frac{0.06}{2}\right)^{\left(2\right)\left(1\right)}[/tex]
[tex]A=300\cdot \frac{2.06^2}{2^2}[/tex]
[tex]A=318.27[/tex] $
Therefore, the total amount accrued, principal plus interest, from compound interest on an original principal of $ 300.00 at a rate of 6% per year compounded 2 times per year over 1 year is $ 318.27.
· The list price of an article is 25% above the selling price and the cost
price is 40% below the list price. Find the rate of discount and profit?
Answer:
p=25%
discount=25%
Step-by-step explanation:
Cost Price = 1.25 x - .4(1.25x)= 1.25x- .5x
Cost Price = .75x
S P = C+P
Profit = Selling price - Cost price
= x - 0.75x
=0.25x
the Profit is 25 %
Discount is 25 %
what is 33.7 divided by 9.5 equals ?
Answer:The answer is 3.5273684211
Step-by-step explanation:
I your round it up then it would be 3.5
Answer:
33.7/9.5 = 3.547368421...
A bag contains colored tiles.
* 7 tiles are red
* 6 tiles are green
* 7 tiles are blue
A tile will be randomly selected from the bag. What is the probability in decimal form that the tile selected will be green?
Answer:
0.35
Step-by-step explanation:
Write an equation of the line that passes through a pair of points:
a. y = x +3
b. y = x -3
c. y = -x +2
d. y = -x -2
Answer:
c. y = -x +2
Step-by-step explanation:
pass (0,2): y interception = 2
Line: y=mx+b b=2
A radio rs 3200 without VAT and rs 3600 including VAT. find the VAT amount and the VAT percentage.
Answer:
amount: rs 400
percentage: 12.5%
Step-by-step explanation:
Before VAT: rs 3200
After VAT: rs 3600
VAT = 3600 - 3200 = 400
VAT = rs 400
percent = part/whole * 100%
percent = 400/3200 * 100%
percent = 12.5%
Which statement describes a unit rate?
A.) Ben ate 1 hotdog.
B.) Ben drove 20 miles.
C.) Ben drove 45 miles per hour.
D.) Ben ate 5 chips and 1 pickle.
Answer:
C
Step-by-step explanation:
Because it is saying he drove 45 miles per hour.
#4 . Simplify the expression 2(x − 8) + 2(12). *
Answer:
x = -4
Step-by-step explanation:
2x-16+24 = 2x+8
2x = -8
x = -4
Hey there!
2(x - 8) + 2(12)
DISTRIBUTE 2 WITHIN PARENTHESES
= 2(x) + 2(-8) + 2(12)
= 2x - 16 + 24
COMBINE the LIKE TERMS
= 2x + (-16 + 24)
= 2x + 8
Therefore, your answer is: 2x + 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
C. What temperature is halfway between 3 degrees and -11degrees? And what is the mid point between -6 degrees and -10? And what is the midpoint between -60 degrees and 8 degrees?
Answer:
-4 is in between 3 and -11 is
-8 is in between -6 and -10
-26 is in between -60 and 8
Help plssssssssssssssssss
Answer:
It would be C.
Step-by-step explanation:
This is because they allow it to be 50 dollars and less, making it C.
11. Find the missing number 1:2 = 3:
O A. 2
OB. 1
OC.3
OD. 6
Answer:
c. hhhhhhhhhhhhuhuuuuuuuuuuuuuuuuuuuuu
Which is the best estimate for 19% of 205?
A- 40
B- 50
C- 100
D- 400
The best estimate for expression of 19% of 205 is 40.
Option A is the correct answer.
What is a percentage?The percentage means the required value out of 100.
It is calculated by dividing the required value by the total value and multiplying by 100.
The percentage change is also calculated using the same method.
In percentage change we find the difference between the values given.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
We have,
To find a percentage of a number, we can convert the percentage to a decimal by dividing it by 100.
In this case, we want to find 19% of 205.
To do this, we first convert 19% to a decimal by dividing it by 100:
19 ÷ 100 = 0.19
This tells us that 19% is equivalent to 0.19 as a decimal.
Next, we multiply the decimal by the given number, which in this case is 205:
205 x 0.19 = 38.95
Therefore,
The best estimate for 19% of 205 is 40.
Learn more about percentages here:
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Melissa wants to buy a new boat but needs money for the down payment. Her parents agree to lend her money at an annual rate of 4%, charged as simple interest. They lend her $3,000 for 3 years. She makes no payments except the one at the end of that time.
Answer:
never give her money again
What is 5 minus 3 2/7?
Answer:
1 5/7
abcdefghijklmnopqrstuvwxyz
Answer:
1 and 5/7?
Step-by-step explanation:
if i read that correctly that would read as 5 - 3 and 2/7. therefore when i subtract the whole number first i get 2. Then i proceed to subtract the fraction. which would leave me with 1 and 5/7.
15. Express 2/5 as a percentage
Answer:
[tex]40\%[/tex]
Step-by-step explanation:
[tex] \frac{2}{5} \times 100 = 40\%[/tex]
Divide 2 by 5 to get a decimal, then multiply the decimal by 100 to get a percent.
2/5 = 0.4
0.4x100 = 40
2/5 = 40%
the quantity is a rate in formula d=rt.
Answer:
hi
Step-by-step explanation:
Distance Formula D RT
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour
Please help me I need to turn in tomorrow
Answer:
D. 0.5
Step-by-step explanation:
There are 4 groups
1. Alto
2. Bass
3. Tenor
4. Soprano
The question says "what is the probability that this member comes from the alto section"
Since there are 4 groups, I did 4/8 (since there are 8 people in Alto) and I got 0.5.
Hope I got it right and it helped you
*Note* I most likely got it right I just doubt myself too much lol
But just in case, I hope I got it right.
Answer:
there are 4 parts in that choir and the alto members are 8 in number so we say those in alto divided by the number of parts, we get→ 4÷8 =0.5, that's the ans.
need the answer please thank you!
Answer:
Step-by-step explanation:
Givens
a1 = -70
d = -10
an = - 100
Formula
an = a1 + (n - 1)*d
Solution
-100 = -70 + (n - 1)*-10 Remove the brackets.
-100 = - 70 + -10n + 10 Combine
-100 = -60 - 10n Add 60 to both sides
-100+60 = -60+60 - 10n Combine
-40 = - 10n Divide by - 10
-40/-10 = n
n = 4
For the equation, x-7=24, can a value be substituted for x to make that a true number sentence? How many values could be substituted for x and have a true number sentence?
Answer:
1 variable or 31
Step-by-step explanation:
7+24=31 giving you the only variable
For a left-tailed test, the critical value of z so that a hypothesis test would __________ the null hypothesis at 5% significance level would be __________
Answer:
A) Reject
B) [tex]-Z_0_._0_5=-1.64485363[/tex]
Step-by-step explanation:
From the question above
Significance level =5%=0.05
a)Generally the first dash is Reject to aid the alternative hypothesis without which the is no need to test
b)Generally we solve mathematically for a critical value
critical value [tex]= -Z_\alpha[/tex]
From normal table
[tex]-Z_0_._0_5=-1.64485363[/tex]
Answer:
1.65
Step-by-step explanation:
gang gang
x + 2/3 = −4
A x = −3 1/3x = −313
B x = −4 2/3x = −423
C x = 3 1/3x = 313
D x = 4 2/3
Answer:
b.
Step-by-step explanation:
x + 2/3 = -4 [multiply the entire equation by 3 to get rid of denominator]
3x + 2 = -12 [subtract 2 from both sides of equation]
3x = -14 [divide by 3 to isolate x]
x = -14/3 or -4 2/3
ILL GIVE U A BRAINLIST
PLEASE I NEED HELP WITH THIS MATH HOMEWORK
I NEED EXPLANATION TOO!
Question: find the value of the varible
Answer:
2x+x+90=180 <-----Sum of angles in a triangle
3x+90=180<-------- Solve
3x=90
x=30
Step-by-step explanation:
George is given two circles, circle O and circle X, as shown. If he wants to
prove that the two circles are similar, what would be the correct second step
in his proof?
Given: The radius of circle O is r, and the radius of circle Xis t.
Prove: Circle Ois similar to circle X.
1.c - 2sr and C'- 2rr' by the definition of circumference.
2.
3. d= 2rand d = 2 by the definition of diameter.
4. d 2r and d ;by the division property of equality.
5.2 and by the substitution property.
d'-2r
6. Circle Ois similar to circle Xbecause all the linear dimensions are in the
same proportion.
(
Answer:
B the division one
Step-by-step explanation:
The solution is, : B.) The correct second step for the given proof is;
C/C' = 2πr/2πr' and, C/C' = r/r'
by the division property of equality.
What is division?Division is the process of splitting a number or an amount into equal parts. Division is one of the four basic operations of arithmetic, the ways that numbers are combined to make new numbers. The other operations are addition, subtraction, and multiplication.
here, we have,
Explanation:
We want to find the correct second step for the given proof.
Recall that from division property of equality, when we have;
a=b and c=d, dividing the equations by each other, the equation will still be equal;
a/c = b/ d
For the given Prove;
statement 1 states that the circumference circle 1 and 2 can be expressed as;
C = 2πr and, C' = 2πr'
So, for step 2;
Applying the division property of equality, we have;
C/C' = 2πr/2πr'
which then equals,
C/C' = r/r'
Therefore, the correct second step for the given proof is;
C/C' = 2πr/2πr' and, C/C' = r/r'
by the division property of equality.
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Noah earned $232.70 at his job for 13 hours . How much money did he earned each hour
Answer: $20.82 per hour
Step-by-step explanation:
Answer:
$17.90 per hour
Step-by-step explanation:
Take $ 232.70 and divide it by 13 hours. Noah earned $17.90 every hour he worked.
Help please!!!!!!!!!!!!!!!!
The difference of five times a number and 6 totals 29
Step-by-step explanation:
Let x represent the number.
We have 5x - 6 = 29 or 6 - 5x = 29.
=> 5x = 35 or 5x = -23
=> x = 7 or x = -4.6.
The number can be 7 or -4.6.
We have 5x - 6 = 29 or 6 - 5x = 29.
=> 5x = 35 or 5x = -23
=> x = 7 or x = -4.6.
The number can be 7 or -4.6.
Calculate the average rate of change for the given function, from x = −3 to x = 7.
Answer:
The average rate of change for the given function, from x = −3 to x = 7 will be:
Average rate = -5Step-by-step explanation:
Given the table
x f(x)
-3 50
3 10
7 0
As the interval is from x = -3 to x = 7.
so
at x₁ = -3, f(x₁) = 50
at x₂ = 7, f(x₂) = 0
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [0 - 50] / [7-(-3)]
= [-50] / [7+3]
= -50 / 10
= -5
Therefore, the average rate of change for the given function, from x = −3 to x = 7 will be:
Average rate = -5Define the type of sequence 7,14,28,56,112
Step-by-step explanation:
7 * 2 = 14
14 * 2 = 28
28 * 2 = 56
56 * 2 = 112
Every term is 2x the preceding term.
Hence the sequence is a geometric progression. (GP)
37.
A bag contains 7 raspberry candies, 13 caramel candies, and 5
coffee candies. You are going to reach into the bag and pull out
some candies without looking. What is the least number of
candies that you must pull out to be sure that you have
removed at least three coffee candies?
if August 3rd wos four days after one
Answer:
15Step-by-step explanation:
There are total cadies in the bag:
7 + 13 + 5 = 25Probability of pulling a coffee candy is:
5/25 = 1/5So each 5th candy should be coffee candy
Then you need to pull at least:
5*3 = 15 candiesNote:
To ensure 3 coffee candies you would need to pull 25 - 2 = 23 candies