Answer:
465 miles
Step-by-step explanation:
From the question,
S₁ = d₁/t₁............................... Equation 1
Where S₁ = Speed travels by Perry for the first journey, d₁= First distance traveled by Perry, t₁ = First time taken.
make d₁ the subject of the equation
d₁ = S₁t₁................... Equation 2
Given; S₁ = 55 miles per hour, t₁ = 5.5 hour
Substitute these values into equation 2
d₁ = 55×5.5
d₁ = 302.5 miles.
Also,
d₂ = s₂t₂.......................... Equation 2
Given: s₂ = 65 miles per hour, t₂ = 2.5 hours.
d₂ = 65×2.5
d₂ = 162.5 miles
Hence,
Total distance = d₁+d₂
Total distance = 302.5+162.5
Total disstance = 465 miles
what is the slope and y-intercept to -3x + y = 1
Answer:
Slope = 3
Y intercept = 1
Step-by-step explanation:
Slope intercept form is
y = mx+b where m is the slope and b is the y intercept.
So in your question
-3x+y=1
add 3x to each side to get
y = 3x+1
3 is m
1 is b
so the slope is 3
the y intecept is 1
Is 6/5 greater than 2/3
Answer:
yes 6/5 is greater
Problem solving:
first you need to simply the fractions and see which one is bigger.
2/3 = 0.667
6/5 = 1.2
-Sumin <3
Answer:
Yes
Step-by-step explanation:
When you look at the two fractions, we can immediately tell that the first is over 1 and the other is not one. However, if we wanted to see how much greater 6/5 is compared to 2/3, then we could find the common denominator and then subtract the 2/3 from the 6/5.
6/5 - 2/3
18/15 - 10/15
8/15.
This can't be simplified.
Thus, 6/5 is 8/15 greater than 2/3.
Hope that this helped and everything works out. You can do this same method with any two fractions if your not sure if one is greater than, equal to, or less than any other number and what the difference is between them.
PLZ HELP ILL GIVE U BRAINLIEST
Can someone tell me if this is correct?
Answer:
yes its correct
Step-by-step explanation:
good job
Answer:
yes, I think you are correct
plz help will give wut i got (as in points)
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:
Sahara Desert Patagonian Desert Death Valley California
Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t C(t) = –0.30(t – 12)2 + 40
0
12
24
2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)
Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t
0
12
24
5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .
6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)
7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)
Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40For t = 0
C(t) = -0.30 (0 - 12)² + 40 C(t) = -0.30 (-12)² + 40 C(t) = -3.2For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40 C(t) = -0.30 (0)² + 40 C(t) = 40For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40 C(t) = -0.30 (12)² + 40 C(t) = -0.30 × 144 + 40 C(t) = - 43.2 + 40 C(t) = -3.2Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40 F(t)=9/5C(t)+32Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32 F(t) = -0.54 (t – 12)² + 72 + 32 F(t) = -0.54 (t – 12)² + 1045, 6 and 7, should be simplish
good luck, i hope this helps :)
Answer:
problems 4,5,6,7 (make sure you add °C to the answers given in step one above) *note, these answers given in both answers could be used for any of the deserts chosen, they all have the same formula given.
Step-by-step explanation:
4) box 12
(12,40)
f(12)= 9/5 (40)+ 32
f(12)= 72 +32
f(12)= 104 ° F
box 24
(24, -3.2)
f(24)= 9/5 (-3.2) +32
f(24) = -5.76 +32
f(24)= 26.24 °F
5.
substitute the given C(t) equation into the conversion formula
F(t)= 9/5C(t)+32.
We know from the information given that C(t)=−0.30(t−12)^2 +32
to solve:
F(t)= 9/5[−0.30(t−12)^2+40]+32
F(t)=1.8(−0.3t^2+7.2t−3.2)+32
F(t)=−0.54t^2+12.96t−5.76+32
F(t)=−0.54t^2+12.96t+26.24
6.
on the graph plot the three points (0,-0.32), (12,104), (24,-0.32)
It draw the lines to connect the bottom two points to 12, 104, It should look like upside down V but curved softer like the graph in answer number 2.
7. The changes made to the graph of C(t) to transform it to F(t) was changing the noon temperature (plot point) from 40° C to 104° F. It increased the steepness of the graph.
May you help me plsss plssss
Answer:
50
Step-by-step explanation:
Which of the following is true given f(x)= 2x^2-6?
Answer:
option plz
Step-by-step explanation:
where is the option
Can someone please help me with math.
Answer:
I think -3
Step-by-step explanation:
A pack of 12 retractable pens costs $12.24.
What is the price of 6 pens?
Answer:
Step-by-step explanation:
Cost of 12 pens = 12.24
Cost of each pen = 12.24 ÷ 12 = 1.02
Cost of 6 pens = 6.12
Kim has 425 beads.Some are yellow and some are blue write 3 different equations that could show how many yellow and blue kim has
Answer:
1 times 425
400+25
210+215
Step-by-step explanation:
George has only Quarters and nickels in his piggy bank.He has a total of 90 coins.The value of the coins is $16.10. Write and solve a system that can be used to determined how many quarters and how many nickels he has.
Answer:
The number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Step-by-step explanation:
It is important to note that:
A quarter is worth 25 cents = 0.25q
A nickel is worth 5 cents = 0.05n
George has only Quarters and nickels in his piggy bank.
Let the number of
Quarters = q
Nickels = n
He has a total of 90 coins.
Hence,
q + n = 90.... Equation 1
q = 90 - n
The value of the coins is $16.10.
Hence,
0.25q + 0.05n = 16.10....Equation 2
We substitute 90 - n for q in Equation 2
0.25(90 - n) + 0.05n = 16.10
22.5 - 0.25n + 0.05n = 16.10
Collect like terms
- 0.25n + 0.05n = 16.10 - 22.5
-0.2n = - 6.4
n = -6.4/-0.2
n = 32 nickels
Solving for q
q = 90 - n
q = 90 - 32
q = 58 quarters
Therefore, the number of
Quarters = q = 58 quarters
Nickels = n = 32 nickels
Work out m and c for the line: y=3x
Answer:
m = 3, c = 0
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 3x , or y = 3x + 0 ← is in slope- intercept form
with m = 3 and c = 0
Which equation results from isolating a radical term and squaring both sides of the equation for the equation?
Answer:
√x+6+√x=8
Step-by-step explanation:
√x+√x=2
(√x) 2=2
x=2
Drag each tile to the correct box
Place the circles in order from the circle with the SMALLEST area to the circle with the LARGEST area.
Answer:
Smallest to largest:
The circle with a diameter of 19
The circle with a circumference of 87.92
The circle with the area of 1,040.09
The circle with the radius of 27
Step-by-step explanation:
-The formula for the area is pi x r^2
-The diameter is double the radius, meaning divide it by 2 to get the radius.
-The formula for a circumference is 2 x pi x r meaning, do the reverse to get the radius. (87.92 divided by pi and then by 2 gives you the radius.)
-pi is equal to 3.14
Of this helps, give me brainliest!
Answer:
I hope this helps
Step-by-step explanation:
between 6 a.m. and noon the temperature Rose 12 degrees Farenheit to 4 degrees Fahrenheit
Answer:
that's not possible it can rise unless it is at negative 12
What steps do you need to take to solve the equation 2x+6= 18?
Choose the correct answer below.
A. Subtract 6. Then, multiply by 2.
B. Subtract 6. Then, divide by 2.
C. Add 6. Then, divide by 2.
D. Add 6. Then, multiply by 2.
Answer:
B subtract 6 then divide by 2
Answer:
B. Subtract 6. Then, divide by 2.
Step-by-step explanation:
2x + 6 = 18
Subtract 6 from both sides.
2x = 12
Divide both sides by 2.
x = 6
Answer: B. Subtract 6. Then, divide by 2.
I need help ASAP please help me I’ll give Brainliest
Answer:
Step-by-step explanation:
A and C are equivalent.
6d+6=2(3d+3)
6d+6=3d+3+3d+3=(3d+3)+(3d+3)
Answer:
A and C
Step-by-step explanation:
Given
4d + 6 + 2d ← collect like terms
= 6d + 6
Comparing the following
A
2(3d + 3) ← distribute parenthesis by 2
= 6d + 6
B
6(d + 6) ← distribute parenthesis by 6
= 6d + 36 ≠ 6d + 6
C
(3d + 3) + (3d + 3) ← remove parenthesis
= 3d + 3 + 3d + 3 ← collect like terms
= 6d + 6
Thus A and C are equivalent to the original expression
There is 3/8 of an apple pie left from dinner. Tomorrow, Victor plans to eat 5/8 of the pie that was left. Enter how much of the whole pie he will eat tomorrow.
Answer:
[tex]\frac{15}{64}[/tex] of the pie
Step-by-step explanation:
Whole numbers refer to a collection of natural numbers together with 0.
Fraction refers to part of a whole.
Part of an apple pie left from a dinner = [tex]\frac{3}{8}[/tex]
Part of an apple eaten by Victor tomorrow is equal to [tex]\frac{5}{8}[/tex] of the pie that was left
So,
Part of an apple eaten by Victor tomorrow = [tex]\frac{5}{8}(\frac{3}{8})=\frac{15}{64}[/tex] of the pie
-3x+4=15, 4x-y=-19 what is the solution by combining equations
If Lucas runs 5 miles in 38 minutes, what is his unit rate per minute?
Answer:
1 mile every 7.6 min
Step-by-step explanation:
Answer:
7.6 minutes per mile
Step-by-step explanation:
38 divided by 5 equals to 7.6
PLEASE HELP!! SOLVE FOR 7,8,9 IN PART 1 ACTUAL ANWSWERS DONT STEAL MY POINTS!!!! I WILL GIVE BRAINEST TO CORRECT ANWSER
Answer:
Given formula:
d = (21.9) [tex]2^{(20-x)/12}[/tex]1.
Find d(7), d(8) and d(9)
d(7) = (21.9) [tex]2^{(20-7)/12}[/tex] = (21.9) [tex]2^{13/12}[/tex] ≈ 46.404d(8) = (21.9) [tex]2^{(20-8)/12}[/tex] = (21.9) [tex]2^{12/12}[/tex] = 43.8d(9) = (21.9) [tex]2^{(20-9)/12}[/tex] = (21.9) [tex]2^{11/12}[/tex] ≈ 41.3422.
The ratios are
d(9)/ d(8) = 41.342/43.8 ≈ 0.944d(8)/(d(7) = 43.8/46.404 ≈ 0.944As we see the ratios are same. This is due to the exponential nature of the function. 0.944 is the common ratio between two consecutive distances.
Step-by-step explanation:
This Is The AnswerHope It Helps U
ILL MARK BRAINLIEST HELP!!!!
Answer:
30
Step-by-step explanation:
let EFH = x
Let GFH = y
x + y = 90
x = 2y
Substitute: 2y + y = 90
3y = 90
y = 30
Help me please. I’ll mark brainliest
Answer:
I don't really understand this question
But if it's asking you to switch,
1. r = 2.5
2. r = 12
3. d = 34
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
A basketball player recorded her points for 11 consecutive games. Her points are listed below.
13, 20, 15, 22, 24, 21, 18, 20, 25, 17, 27
How many points would she need to score in her 12th game in order to decrease the interquartile range by 1 point?
Answer:
23
Step-by-step explanation:
The number of points that she would need to score in her 12th game in order to decrease the interquartile range by 1 point is; 23
What is the Interquartile range?An interquartile range is one of the measure of variability that measures the spread of middle 50% of the data.
The formula to calculate interquartile range is:
IQR = Q₃ - Q₁
where;
Q₃ is third quartile
Q₁ is first quartile
The given points when arranged in increasing order gives us:
13, 15, 17, 18, 20, 20, 21, 22, 24, 25,27
Q₁ is the (n + 1)/4 terms = 3rd term.
Thus; Q₁ = 17
Q₃ is 3(n + 1)/4 term = 9th term.
Thus; Q₃ = 24
Then; IQR = 24 - 17
IQR = 7
The desired interquartile range should decrease by 1 point. Thus;
Desired IQR = 7 - 1 = 6.
To find the score of the 12th game, let us try 23 points as the score of the 12th game:
Thus;
Q₁ = 17.5
Q₃ = 23.5
IQR = 23.5 - 17.5
IQR = 6
Thus, required number of points is 23.
Read more about Interquartile Range at; https://brainly.com/question/3859769
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:A-false B-false C-true D-true E-false
Step-by-step explanation:
if im wrong pls tell me :)
ANSWER ASAP! What is the solution to the system of equations shown
Answer: (0,0)
Step-by-step explanation:
That is where the intercept is.
True or false: Every sequence is either arithmetic or geometric. If this is true, explain. If false, give a counterexample to illustrate.
Answer:
No false
Step-by-step explanation:
Theres the fibonacci sequance 1,1,2,3,5,8...
how do you solve these?
[tex] \sqrt[4]{64} [/tex]
[tex] \sqrt[3]{ -189} [/tex]
[tex] \sqrt[3]{72} [/tex]
Someone please Help me!!!!!
Also the dash for the second one is Negative 189. Please Show Step-by-step, thanks. No links.
Answer:
Step-by-step explanation:
The first and only rule really is to factor these down to their primes and then apply a very simple rule
For every prime, take out 1 prime for every prime under the root sign that equals the index. The rest are thrown away.
That's very wordy. Let's try and see what it means with an example
Take sqrt(27) The index is 1/2 (square root) That means we need two threes in order to apply the rule.
sqrt(27) = sqrt(3 * 3 * 3 ) For every two primes take out 1 and throw one away.
sqrt(27) = 3 sqrt(3) You can't take out that 3rd 3.
64 = 2 * 2 *2 *2 *2 * 2
4th root 64 = 2*2*2 *2 * 2 *2
for every 4th root, you get to take 1 out and throw three away.
4th root 64 = 2 fourth root (2*2)
4th root 64 = 2 fourth root (4)
- 189 = - 3 * 3 * 3 * 7
cuberoot (- 189) = For every 3 roots, you get to pull 1 out and throw the other two away.
3 cube (- 7) is your answer.
72 = 2 * 2 * 2 * 3 * 3
cube root (72) = 2 cube root(9) You don't have enough threes to do any more than what is done.
Question 4
3 pts
Use substitution to solve the following system of equations. What is the value of y?
3x +2y = 12
15x – y=7
y=-2
y=2
y=-3
y=3
A buyer borrowed $85,000 to be repaid in monthly installments of $823.76 at 11.5% annual interest. How much of the buyer's first-month payment was applied to reducing the principal amount of the loan?
Answer: $9.18
Step-by-step explanation:
The payment of $823.76 will go towards both interest and principal repayments.
Find out the interest paid from the amount and deduct it from the monthly payment to find the principal repayment.
Monthly interest payment:
= (85,000 * 11.5%) / 12 months
= $814.58
Principal repayment = 823.76 - 814.58
= $9.18