The relationship between the rise of the chair with respect to time is required.
The ski lift chair rises [tex]3.5\ \text{feet/s}[/tex]
Rate of changeEvery [tex]4[/tex] seconds a ski lift chair rises [tex]14\ \text{feet}[/tex].
[tex]4\ \text{seconds}=14\ \text{feet}[/tex]
Divide by [tex]4[/tex] on both sides
[tex]1\ \text{second}=\dfrac{14}{4}=3.5\ \text{feet}[/tex]
The rate of the height increase of the ski lift chair is [tex]3.5\ \text{feet/s}[/tex]
Learn more about rate of change:
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Jordan is purchasing a summer home. The home he wanted to buy was originally $227,000.
When he looked today, the home is selling for 12% less. What is the home selling for today?
Answer:
$199,760
Step-by-step explanation:
$227,000
- 12%
---------------------
$199,760
Which part of this graph shows a nonlinear relationship?
Answer:
3
Step-by-step explanation:
3(x − 2y) = −12(x + 2y)
Answer:
15x-18y
Step-by-step explanation:
Distribute then combine like terms
NEED HELP
what is the range?
|80 - 5x| = 4
Answer:
please be more specific
Paula knits hats. The number of hats h she can knit varies directly with the amount of yarn (y) in yards she has. The constant of proportionality is 42. Write an equation to represent the relationship between the number of yards of yarn Paula has and the number of hats she can knit.
Answer:
The equation showing the relationship between the number of yards of yarn Paula has and the number of hats she can knit is ;
h = 42y
Step-by-step explanation:
Here, we want to write an equation;
From the question, we are told that the number of hats h that can be knitted is directly proportional to the amount of yarn in yards
Since it is a proportional relationship;
h = k * y
where k is the constant of proportionality given as 42
Hence;
h = 42 * y
h = 42y
If the maglev train travels at a constant speed of 480 kilometers per hour for 1/4 hour how far does the train travel ?
Answer:
120 km
Step-by-step explanation:
Multiply the distance traveled by the speed of the train.
1/4 hr × 480 km/hr = 120 km
Which group contains numbers that all round most closely to 1/2?
A: 1/5, 2/9, 4/8
B: 3/5, 2/4, 4/7
C: 3/4, 5/6, 7/9
D: 1/2, 2/7, 9/10
pls help
Answer:
I think that B is the best answer
If the diameter of a circle is 50 yards, the radius is
Answer:
r = 25 yds
Step-by-step explanation:
The diameter is twice the radius, so the radius is 1/2 of the diameter
r = 1/2 d
r = 1/2 ( 50 yds)
r = 25 yds
answer: r=25yd
Hope this helps!
(-5, -4); y = -2x + 4
Answer:
y= -2x squared +4x+66
Step-by-step explanation:
Answer:
y= -2x squared +4x+66
Step-by-step explanation:
Apps Managed bookmarks
Write an expression for the perimeter of the rectangle with a length of 2x and width of x.
Step-by-step explanation:
2x + 2x + x + x = Perimeter
6x = Perimeter
x = Perimeter ÷ 6
A student solved the given equation and justified every step except one. What is the missing reason? A) Associative property of addition B) Commutative property of addition C) Multiplicative property of equality D) Distributive property of multiplication over addition
Given:
The statements and reasons to solve an equation.
To find:
The missing reason.
Solution:
If a, b and c are three real number, then
Associative property of addition : [tex](a+b)+c=a+(b+c)[/tex]
Commutative property of addition : [tex]a+b=b+a[/tex]
Multiplicative property of equality : [tex]a=b\Leftrightarrow ca=cb[/tex]
Distributive property of multiplication over addition : [tex]a(b+c)=ab+ac[/tex]
In the given step, [tex](x+-3)+3[/tex] is written as [tex]x+(-3+3)[/tex].
It means, only parenthesis are changed, which is possible by Associative property of addition.
So, the missing reason is Associative property of addition.
Therefore, the correct option is A.
Customers at the palace pro shop receive a 10% discount if they are members. all customers must pay 7% in sales tax. The function f(x)=0.9x is used to determine the price of an item after the 10% member discount, where x is the regular price of the item. the function g(x)=1.07x is used to determine the total amount customers Pay for a purchase after all discounts are applied. Which function can be used to determine T(x), the total amount a member pays for an item with regular price of x dollars?
Answer: 0.963
Step-by-step explanation:
The function used to determine the total amount a member pays for an item with regular price of x dollars is T (x) = 0.963x.
What is discount?A discount is a reduction made from a regular or list price.
This is subtracted from the regular price of an item.
Now it is given that,
The function used to determine the price of an item after the 10% member discount,
f(x) = 0.9x,
where x is the regular price of the item.
The function used to determine the total amount customers Pay for a purchase after sales tax is applied.
g(x) = 1.07x
Now, total amount to be paid by customer for an item with regular price of x dollars
T(x) = regular price* discount * sales tax
⇒T(x) = x*0.9* 1.07
⇒T(x) = 0.963x
Hence, The function used to determine the total amount a member pays for an item with regular price of x dollars is T (x) = 0.963x.
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Gianna, Jada, and Brittney and a bunch of other friends had a horseshoe competition. Jada and Brittney were eliminated after two rounds because they were too busy texting but Gianna went onto round eight to win 47 pieces of gum. Later, she gave two to each of her friends. She only has 1 remaining. How many friends does she have?
Answer:
23 friends
Step-by-step explanation:
Let the number of friends she has = x
Total number of gum = 47 pieces
She gave 2 each to her friends, hence:
2x + 1 = 47
2x = 47 - 1
2x = 46
x = 46/2
x = 23
Therefore, the number of friends she has is 23
8 + 11x
12x + 1
What’s the value of X?
Answer:
x = 7
Step-by-step explanation:
8 + 11x = 12x + 1
-x + 8 = 1
-x = -7
x = 7
Answer:
Step-by-step explanation:
what is 40 times 8 minus 10 to the power of 2
Answer:
220
Step-by-step explanation:
40 x 8 = 320
[tex]10^{2}[/tex] = 100
320- 100 = 220
Hope that helps and have a great day!
Answer:
220
Step-by-step explanation:
Rewritten in numerical terms, the problem is:
40 * 8 - 10^2
Remember PEMDAS:
10^2 = 100
40*8 = 320
320 - 100 = 220
220
Claire and Richard are both artists who paint canvas. Claire uses the polynomial 50x^2+250 to decide how much to charge for her paintings. Richard uses the polynomial 40x^2+350 to decide how much to charge for his paintings.In each polynomial x is the height of the painting in feet. To the nearest tenth for what height will both Claire and Richard charge the same amount for a painting?
Answer:
3.2 ft
Step-by-step explanation:
50x²+250=40 x²+350
50x²-40x²=350-250
10x²=100
x²=100/10=10
x=√10≈3.1623≈3.2 ft
In June, Clarissa used 115 gigabytes of data on her cell phone. Given that June has 30 days, how much data did she use on average per day?
Answer:
3.8333333333...
Step-by-step explanation:
you take how many gigabytes (115) and divided it by the 30 days, giving you 3.833333333...
QUICKKK!!! Lance's bowling score was 28 pins more than Jim's score. Lance's bowling score was 205. (a) Write an equation to determine Jim's score (j), (b) What was Jim’s score?
30 points!
Answer:
177
Step-by-step explanation: 205-28=177 ~
Below is the table of values of a function. Write the output when the input is n .
Input: 4,5,8,n
Output:16,20,32
9514 1404 393
Answer:
4n
Step-by-step explanation:
We observe that each output is 4 times the corresponding input. Then 4 times n will be ...
Input: n
Output: 4n
Dina's birthday was 125 days ago. If today is Sunday, on what day of the week did her birthday fall?
Answer:
her birthday is on Saturday
Step-by-step explanation:
write the equation of the line fully simplified slope-intercept form.
Answer:
y=-1/2x-8
Step-by-step explanation:
The slope is -1/2 and the y-intercept is -8.
Please help me!!! I feel sick and really want to go to bed so please help soon!! thank u!!!
Answer:
I think It is 8 as well, but not sure
Step-by-step explanation:
PLSSSSSS HELPPPPP ON NUMBER 6 ASAP TY TY TY
Answer:
The width is 4
Step-by-step explanation:
You would divide the area (24) by the length (6). So, 24/6=4.
Answer:
The answer is 4.
Step-by-step explanation:
You divide the area with the length.
24/6=4.
Kelly has $20000 to invest, and hopes to earn $1390 in interest in the first year. She wants her investment in treasury bills to be $3000 more than her investment in corporate bonds. The expected return (in simple interest) on each investment are: Treasury Bills: 5%, Treasury Bonds: 7%, Corporate Bonds: 10%. How much should Kelly invest in each one?
Answer:
$8,000 in Treasury bills
$7,000 in Treasury bonds
$5,000 in corporate bonds
Step-by-step explanation:
Let the amount to be invested in treasury bills be $x , the amount to be invested in treasury bonds be $y
From the question, we understand that the amount she will invest in corporate bonds will be $3000 less than the amount in treasury bills;
So mathematically, this will be $(x - 3000)
So therefore, the amount invested in each will be;
x + y + x-3000 = 20,000
2x + y = 20,000 + 3000
2x + y = 23,000 ••••••••(i)
Let’s now work with the simple interests;
For treasury bills;
5% = 5/100 * x = 5x/100
For Corporate bonds ;
10% = 10/100 * (x -3000) = (x-3000)/10
For Treasury bonds 7%
7% = 7/100 * y = 7y/100
Adding all gives the total interest;
5x/100 + 7y/100 + (x-3000)/10 = 1390
Multiply through by 100
5x + 7y + 10(x-3000) = 1390 * 100
5x + 7y + 10(x-3000) = 139,000
5x + 7y + 10x -30,000 = 139,000
15x + 7y = 139,000 + 30,000
15x + 7y = 169,000 •••••••••(ii)
So we have two equations to solve simultaneously;
From i, y = 23,000 - 2x
Put this into ii
15x + 7(23,000 -2x) = 169,000
15x + 161,000 - 14x = 169,000
x + 161,000 = 169,000
x = 169,000 - 161,000
x = $8,000
y = 23,000 - 2x
y = 23,000 - 2(8,000)
= 23,000 - 16,000 = $7,000
So the last investment amount is x-3000 = 8,000 -3,000 = $5,000
The department store sells logo t-shirts at an original price of $12.50. Every month that a t-shirt doesn’t sell, the store reduces the price by 25%. Brianna calculated the price after two reductions:
12 dollars and 50 cents minus (12 dollars and 50 cents) (0.25) minus (12 dollars and 50 cents) (0.25) = 6 dollars and 25 cents
What is Brianna’s error?
Answer:
Brianna subtracted $12.50, even though you are not supposed to do that to find the price. You have to subtract $6.50, not $12.50.
The final answer is $7.04 because you subtract two initial prices.
Hope this helps you!
Answer:
The sample answer is :Brianna took both 25% discounts off the original amount. The second discount should have been calculated on the first reduced price of $9.38. The final sale price should have been $7.03.
Step-by-step explanation:
hope this helps :)
1 over 2 rational or irational
Answer:
Rational
Step-by-step explanation:
I hope this helped!
Answer:
the answer is rational
Plzzz help me
Suppose your business has a special checking account used just for paying the phone bill. The balance is $1530.00 this month. Next month the balance will be $1496.30, after that it will be $1432.60, and on the third month the balance will be $1428.90. Write an explicit formula to represent the balance in the account as an arithmetic sequence. How many months can you pay your phone bill without depositing any more money in the account?
A) An= 1530 + (n-1) ( -33.70); 46 months
B) An = 1530 + (n-1) (-33.70); 45 months
Please explain for me how you got the answer. Thank you so much
Answer:
B
Step-by-step explanation:
this month=1530
first month=1530-33.70=1496.30
Second =1496.30-63.70=1432.60
Third=1432.60-3.70=1428.90
The point-slope form of a line that has a slope of -2 and passes through point (5,-2) is shown below.
y+2=-2(x-5)
What is the equation in slope-intercept form?
Oy=-2x+ 12
O y=-2x+8
y=-2X-7
O y=-2x-3
Answer:
y=-2x+8
Step-by-step Explanation:
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Help with this please?????
Find the slope of 3x+4y=-4
