Answer:
Train A is 497 tons and Train B is 13 tons
Step-by-step explanation:
Let a represent the weight of Train A, and b represent the weight of Train B
Set up a system of equations:
a + b = 510
a - b = 484
Solve by elimination by multiplying the top equation by -1
-a - b = -510
a - b = 484
Add these together, and solve for b:
-2b = -26
b = 13
Find the weight of Train A by plugging in 13 as b into one of the equations, and solving for a
a + b = 510
a + 13 = 510
a = 497
So, Train A is 497 tons and Train B is 13 tons
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
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
PLZ HELP ILL GIVE U BRAINLIEST
Find the points of intersection of the circles.
Answer:
D. (5,0) and (5,10)
Step-by-step explanation:
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.
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
Our basketball team won 60 per cent of their games. If they lost 8 games, how many
games did they play altogether?
O 10
O 12
O 16
O 20
o none of these
Please help this is soo easy. I need it for my lil sis
Answer:
14
3/8 lb
1 1/4 lb
Step-by-step explanation:
Answer:
Packages of Meat altogether- 14
Total Weigh- 1 1/2
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
Which of the following is true given f(x)= 2x^2-6?
Answer:
option plz
Step-by-step explanation:
where is the option
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!! 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
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
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:
plz help
a diagram with line m parallel to line n is shown express the value of y in terms of x
Answer:
y = 170 - 3x
Step-by-step explanation:
l // m
y + 3x + 10 = 180 {co interior angles are supplementary}
y + 3x = 180 - 10 {Subtract 10 from both sides}
y+ 3x = 170 {Subtract 3x from both sides}
y = 170 - 3x
-3x+4=15, 4x-y=-19 what is the solution by combining equations
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
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...
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
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
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
someone pls help! mathematics.
bot answers/nonsense = reported
----------------
The formula for any geometric sequence is an = a1 · rn - 1 , where an represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the geometric sequence 4, 8, 16, 32, ...?
an = 4 · ( ) n - 1
an = 2 · 4 n - 1
an = 32 · 2 n - 1
an = 4 · 2 n - 1
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
Answer:
a(n) = 4*(2)^(n - 1)
Step-by-step explanation:
The correct version of this formula is a(n) = a(1)*r^(n - 1). Must use the " ^ " symbol to indicate exponentiation, and enclose the "n - 1" inside parentheses.
Here, if 4, 8, 16, 32, ..., then a(1) = 4 and r = 2 (e. g., 16/8 = 2, 32/2 = 16, and so on).
Then the correct formula for this geometric sequence is
a(n) = 4*(2)^(n - 1), where use of the parentheses as indicated is mandatory.
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:
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
Help please I will give you the brainliest
Answer:
well option D will be your answer
Step-by-step explanation:
hope it helps you
have a great day
Please help !!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:A-false B-false C-true D-true E-false
Step-by-step explanation:
if im wrong pls tell me :)
Can someone please help me with math.
Answer:
I think -3
Step-by-step explanation:
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
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.