Graph the line that represents a proportional relationship between ddd and ttt with the property that an increase of 3 units in ttt corresponds to an increase of 8 units in ddd.
What is the unit rate of change of ddd with respect to ttt? (That is, a change of 1 unit in t will correspond to a change of how many units in d?)
Answers
The unit rate of change of d with respect to t is 8/3
How to graph the line?The statement is given as:
increase of 3 units in t corresponds to an increase of 8 units in d.
This can be represented using the following ratio
t : d = 3 : 8
Express as fraction
t/d = 3/8
See attachment for the graph of t/d = 3/8
The unit rateIn (a), we have:
t/d = 3/8
Inverse both sides
d/t = 8/3
This means that:
Slope or Rate = 8/3
Hence, the unit rate of change of d with respect to t is 8/3
Read more about linear functions at:
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Related Questions
Item 18
A flagpole casts a shadow that is 7 feet long. At the same time, a man standing nearby who is 6 feet tall casts a shadow that is 25 inches long. How tall is the flagpole to the nearest foot?
Answers
175 =6x
29.1666
So nearest foot is 29 feet
Olivia pays $189 for a painting, including tax.
If the actual price is $179.50, what is the sales tax rate?
Answers
1. you would take 189 and subtract 179.50
2. from that you would get 9.50
3. you would then divide 9.50 by 179.50
4. therefore the tax rate would be 0.05 or 5%
The sales tax rate = 5.29%
What is the formula for tax rate?"Tax rate = (Tax amount / Price before tax) × 100% "
What is the formula for tax amount?"Tax amount = Final price - Price before tax"
For given question,
Olivia pays $189 for a painting, including tax.
⇒ Final price = $189
The actual price of the painting is $179.50
⇒ Price before tax = $179.50
Using the formula of tax amount,
⇒ Tax amount = Final price - Price before tax
⇒ Tax amount = 189 - 179.50
⇒ Tax amount = 9.5
Now we find the sales tax rate.
Using the formula of tax rate,
⇒ Tax rate = (Tax amount ÷ Price before tax) × 100%
⇒ Tax rate = [tex]\frac{9.5}{179.50} \times 100~\%[/tex]
⇒ Tax rate = 5.29%
Therefore, the sales tax rate = 5.29%
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Please answer this question will give brainiest please answer
Answers
Answer:2 and 3
Step-by-step explanation:
Good luck on your assingment hope this helps :)
what is the gradient?
Answers
Answer:
[tex]{ \tt{gradient = \frac{ - 3 - 1}{0 - ( - 1)} }} \\ = \frac{ - 4}{1} \\ = - 4[/tex]
Answer:
The gradient (slope) is -4.
Step-by-step explanation:
Note that two points on the graph through which the blue line passes exactly are (-2, 5) and (0, -3). As we move from the first point to the second, x increases by 2 (the 'run') and y (the 'rise') decreases by 8. Thus, the gradient, or slope, of this line is m = rise/run = -8/2, or m = -4.
Quadrilateral
A
R
M
Y
ARMYA, R, M, Y is rotated
9
0
∘
90
∘
90, degrees about the origin.
Answers
Answer:
See explanation
Step-by-step explanation:
From the question, we understand that the quadrilateral is rotated by 90 degrees about the origin.
The question is incomplete; so, I will give a general explanation.
The rule for 90 degrees rotation about the origin is:
[tex](x,y) \to (-y,x)[/tex]
For instance:
A point (4,6) will become (-6,4) after rotation.
Currently, Jacob’s mother is three more than nine times as old as Jacob. In eleven years, his mother will be five more than three times his age. Write a system of linear equations that models this situation. Let j represent Jacob's age, and let m represent his mother's age.
Write an equation that relates Jacob and his mother's current ages. Solve the system of equations.
What are their ages?
Answers
Answer:
Jacob is 4 years old and his mother is 40 years old.
Step-by-step explanation:
Part 1: The linear equations are and
Part 2: Solving the equations, we have, and
Part 3: Jacob is 4 years old and his mother is 40 years old.
Explanation:
Part 1: Let j represent Jacob's age, and let m represent his mother's age.
It is given that, "Jacob's mother is three more than nine times as old as Jacob". Writing it as linear equation, we have,
It is also given that, "In eleven years, his mother will be five more than three times his age". Writing it as linear equation, we have,
Simplifying this, we get,
Thus, the linear equation is
The linear equations are and
Part 2: Solving the linear equation, we get,
Substituting in
Simplifying, we get,
Hence,
Substituting in
Solving the equations, we have, and
Part 3: Since, j represents jacob and m represents the jacob's mother
Thus, Jacob is 4 years old and his mother is 40 years old.
The Mother - 40 years old
64 is 4 times the difference between Sarah's age, a, and 44. Assume Sarah is older than 44.
Answers
Answer:
Sarah is 60 years old
Step-by-step explanation:
64 divided by 4 is 16. Add 16 to 44 to get Sarah's age, 60
Answer: She is 60 years old
Step-by-step explanation:
(01.01 LC)What should be added to 3 to make the sum 0?
−3
−2
0
3
Answers
Answer:
-3
Step-by-step explanation:
math
Answer:
-3
Step-by-step explanation:
Adding -3 to 3 makes the sum equal to 0:
3 + (-3) = 3 - 3 = 0
The speed limit is 55mph. How far can you travel in 3 hours going the speed limit? How far can you travel if you went 5 miles over the speed limit?
Answers
Answer:
If you were going the speed limit, after 3 hrs, you would go 165 miles.
If you were going 5 miles above the speed limit you would go 180 miles.
Step-by-step explanation:
55 x 3 = 165
55 + 5 = 60
60 x 3 = 180
Answer:
165miles
180miles
Step-by-step explanation:
If going 55mph for 3 hours,
55miles/hour * 3hour = 165miles
If going 60mph (5 over the limit) for 3 hours:
60miles/hour * 3hour = 180miles
Can someone please help me with this question I need to find the unit rate.
Answers
First we have to take any point, I'll take (5,3).
X-axis represents number of pounds and y-axis represents total cost (in $).
So, 5 pounds = $3
=> 1 pound = $3/5
=> 1 pound = $0.6
=> 1 pound = 60 cents
Answer:
60c per pound.
Step-by-step explanation:
If 5lbs cost 3 dollars, 1lb = 3/5
3/5 = 0.6$
60c
HELPPPPPPPPPPPPPPPPPPPPP
Answers
Answer:
d
Step-by-step explanation:
its a rational number because it isn't 0 and the others are incorrect i think
Answer:
Pretty sure its D
Step-by-step explanation:
Process of elimination....All the other ones seem to be incorrect.
12(43)
5 (88)
8 (63)
7 (28)
Please help me i tried to do this but I really don't get this can somebody help? plsssssssssssssssssssssssssssssss(sorry for spam)
Answers
12 x 43= 516
5 x 88 = 440
8x 63= 504
7 x 28= 196
Usually, when you see a number followed by another number in parentheses, like here, that means to multiply.
5(88)=440
8(63)=504
7(28)=196
The expression (F - 32) • 5/9 can be used to convert a temperature from Fahrenheit to Celsius.
1. Find the temperature in Celsius if it is 50°F.
2. Find the temperature in Celsius if it is -10°F.
Answers
Answer:
1.) 10
2.) 14
Step-by-step explanation:
2. -10-32= -42•5/9= -23.33*C
!PLEASE EXPLAIN IT EASY SO I UNDERSTAND IT!
Elliot has been running a lawn care business since 2000. He cuts grass, trims, and weed whacks yards for his customers throughout the season. Each year, he has increased his fee by the same amount. The table shows what Elliot charged each customer for two given years of his business:
Year Lawn Care Fee
2000 $750
2010 $1350
A. What is the rate of change and initial value for Elliot’s business? How do you know?
B. Write an equation in slope-intercept form to represent the fees that Elliot charges each year.
Answers
2010-2000=10 years
600/10=$60 increase per year
a) since elliot started with $750 in 2000 and he started working in 2000 that would be his initial fee and every year he increased his fee by $60.
b) y=60x+750
Answer:
Rate of Change: $60 Per year
Step-by-step explanation:
We can find how many years are from 2000 to 2010 not overcouting. That is 10. Now, we do 1350 minus 750 because that's the change of the fee. That will give you 600. Now, 600 divided by 10, giving you how much change each year. That's 60.
So,
2000:750
2001:810
2002:870
2003:930
2004:990
2005:1050
2006:1110
2007:1170
2008:1230
2009:1290
2010: 1350
You can graph it out with that, now.
Solve the equation by factoring:
6x2-0.5x=0
Answers
The solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
To solve the equation [tex]6x^{2} -0.5x=0[/tex] by factoring, we first need to factor out the common factor of x from the expression:
[tex]x(6x-0.5)=0[/tex]
Next, we can simplify the expression inside the parentheses by factoring out a common factor of 0.5:
[tex]x(12x-1)=0[/tex]
Now, we have two factors being multiplied together that give a product of zero. According to the zero product property, this means that either [tex]x=0[/tex] or [tex]12x-1=0[/tex]. Solving for x in the second equation, we get:
[tex]12x-1=0[/tex]
[tex]12x=1[/tex]
[tex]x=\frac{1}{12}[/tex]
Therefore, the solutions to the equation [tex]6x^{2} -0.5x=0[/tex] are [tex]x=0[/tex] and [tex]x=\frac{1}{12}[/tex].
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Greg purchased n notebooks. They were 4 dollars each. Write an equation to represent the total cost c that Greg paid.
Answers
Make sense? If not, ask more.
Mary
Answer:
c = 4n
Step-by-step explanation:
The total cost (c) is going to be of the 4 notebooks together
We don't know how many notebooks Greg got, so it's represented by n.
It doesn't matter how many notebooks Greg purchased, because each of them were $4.
So to represent the total cost of the notebooks, you would write c = 4n
. Emma wanted to make an origami fish for each of her 22 classmates. She takes 30 minutes to make one fish. How long will Emma take to make all the fish? A 320 minutes B 11 hours © 600 minutes D 660 hours
Answers
Answer:
11 hours
Step-by-step explanation:
50 minutes = 1 hour
30 minutes = 1/2 hour
She takes 1/2 per fish.
1/2 * 22 = 11
Answer: 11 hours
Hope this helps!
I NEED HELP PLEASEEEE
Answers
Answer:
D
Step-by-step explanation:
a,b,c are the same thing just in different forms so d is the right one.
also a is suppose to be a/1 i think for question d
The sum of two consecutive integers is -92. Find the integers.
Answers
Answer:
x = -46.5
x + 1 = -45.5
Step-by-step explanation:
x + x + 1 = -92
2x + 1 = -92
-1 -1
------------------
2x = -93
---- ----
2 2
x = -46.5
x + 1
(-46.5) + 1
-45.5
Answer:
No solution
Step-by-step explanation:
We can set up an equation where x is the integer and x+1 is the next one
x+x+1=-92
2x+1=-92
2x/2=-93/2
x=-46.5
-46.5+1=-45.5
The problem is that integers do no include decimals so there is no possible whole number. This problem would be possible if it was consecutive odd integers.
Express the extended fraction at the right as a simple fraction in lowest terms.
Answers
Answer: 5/2
Yes it has to be 5/2
Answer:
5/2
Step-by-step explanation:
I really need help with this math question ASAP
Answers
Which coordinate grid shows Point A at (0.25, −1.75)?
Answers
Step-by-step explanation:
If possible, please provide a picture otherwise we do not know what to answer. First move 0.25+ along the x axis, then -1.75 in the y direction. it should look like this
What is the equation of the graph?
y = 4x
y = 1/4x
y = -1/4x
y = -4x
Answers
A monkey is swinging from a tree. On the first swing, she passes through an arc of 10 m. With each swing, she passes through an arc 9/10 the length of the previous swing.
What is the total distance the monkey has traveled when she completes her 25th swing? Round your final answer to the nearest meter.
Answers
Answer:
250,000 meters (m)
Step-by-step explanation:
First swing she passed through an arc of:
10m
Each swing, she passed through an arc of :
9/10
9/10×10=10
25×10=250km
250km converted to the nearest m=
250,000 Meters (m)
Note: *This is my opinion, you can try it and see if it's correct,I'm sorry if it's not. Good luck!*
Explanation guy above me
What is 1/2[4x + 6(2 + 2x)]
Answers
Answer:
8x+6
Step-by-step explanation:
1/2[4x + 6(2 + 2x)]
Work inside out
Distribute inside
1/2[4x + 12 + 12x)]
Combine like terms
1/2[16x +12]
Distribute
8x+6
[tex]\boxed{\large{\bold{\textbf{\textsf{{\color{blue}{Answer}}}}}}:)}[/tex]
[tex]\sf{\dfrac{1}{2}[4x+6(2+2x)] }[/tex] [tex]\sf{\dfrac{1}{2}[4x+12+12x] }[/tex] [tex]\sf{\dfrac{1}{2}[16x+12] }[/tex] [tex]\sf{\dfrac{1}{2}[2(8x+6)] }[/tex] [tex]\sf{\dfrac{1}{\cancel{2}}×\cancel{2}(8x+6) }[/tex] [tex]\sf{ 8x+6 }[/tex][tex]\sf{ }[/tex]
Andrea uses 3.12 cups of flour in a recipe that makes 8 key lime cupcakes. Corey uses 2.52 cups of flour in a recipe that makes 7 key lime cupcakes. How much more flower per cupcake is needed for Corey’s recipe?
I will give Brian list plz help
Answers
Answer:
The Answer is 0.03
Step-by-step explanation:
Andrea = 3.12/8 flower per cupcake
3.12/ 8 = .39
Corey = 2.25/ 7 flower per cupcake
2.25/ 7 = .36
So Corey's recipe needs
( 0.39 - 0.36) = 0.03 flower per cupcake
Can Some1 Tell Me the answer?
Answers
Answer: D
Step-by-step explanation:
Answer: D(2.8a-12a-3.6
hope that helped <3
HELPPP PLEASE I DON'T UNDERSTAND!!
Answers
Answer:
B
Step-by-step explanation:
If all the coordinates are placed in a graph, the line would be straight. This would mean it is linear.
Hope this helps!
Question 1
Click the refresh button until you get a right triangle with A as the right angle. Fill in the fraction forms of sin B, cos B, tan B and then the
associated measure of B using sin^-1, cos^-1, and tan^-1, rounded to three decimal places each. Then fill in the fraction forms of sin C, cos C, tan C, and the associated measure of C using sin^-1, cos^-1, and tan ^-1 rounded to three decimal places.
Answers
x=width of pool
2x=length of pool
the dimensions of the rectangle forming the walkway and the pool are x+4 and 2x+4
the area of this rectangle minus the area of the pool is 196 square feet
(2x+4)(x+4)-(x)(2x)=196
2x^2+4x+8x+16-2x^2=196
combine similar terms
12x+16=196
12x=196-16
12x=180
x=180/12
x=15 feet is the width of the pool
check: 34*19-30*15=196
646-450=196
196=196
Answer:
Step-by-step explanation:
IM SO SORRY PLEASE HELP ME!!!
Answers
Answer:B,D i think that's it
Step-by-step explanation: lmk if it was right or wrong
