Answer and Step-by-step explanation: An equation represents proportional relationship when dividing the quantities of the equation results in a quotient that is always the same. For example, in general:
Equation: y = mx
[tex]\frac{y}{x}[/tex] = m
m is a constant value, which means is the same.
A. Equation: 120 - x = L
Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.
B. Equation: 1.08p = t
Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.
[tex]\frac{t}{p}=1.08[/tex]
C. Equation: [tex]x=\frac{m}{4}[/tex]
This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:
[tex]\frac{m}{x}=4[/tex]
D. Equation: [tex]V=12s^{2}[/tex]
This equation is NOT proportional because side length is squared, so it is not constant linearly.
Answer:
Step-by-step explanation:
A. Equation: 120 - x = L
Equation from alternative A is NOT proportional since the division of the quantities doesn't result in a constant.
B. Equation: 1.08p = t
Dividing total cost per item's price, will always give the sales tax, which is constant. So, this equation IS proportional.
C. Equation:
This equation is proportional because dividing marbles per how much each sister gets, always gives the number of sisters:
Factor each of the following polynomials completely
1. 4x + 8
2.9x² - 25
3.x² + 4x + 4
Answer:
ok:
Step-by-step explanation:
1. 4(x+2)
2. (3x + 5)(3x - 5)
3. [tex](x+2)^2[/tex]
Answer:
1. 4(x+2)
2. (3x+5)(3x-5)
3. (x+2)(x+2)
Step-by-step explanation:
Solve sx+tx=r for x?
Answer:
x= r/s+t
Step-by-step explanation:
In which situation do the quantities combine to make 0?
A-Juan spent $20. The next day, he earned $10 per hour for 2 1/2 hours
of babysitting
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
C-The predicted high temperature for a winter day is 7°C and the predicted low temperature is -7°C.
D- A deep-sea diver descends 15 meters, pauses, and then descends another
15 meters.
Answer:
B- Erica deposited $75 into her savings account. She withdrew $75 the
following week.
Step-by-step explanation:
What error did Heather make?
Heather solved this problem:
75 is 300% of what number?
O None. Her work is correct?
O She multiplied 75 and 4 incorrectly.
O She should have divided 75 by 4, and divided 100
by 4.
O She used the part, 75, to write the percent ratio. The
part-to-whole percent ratio is 300/100
Answer:
Its is D i took the test you welcome also give me 5stars plsss and like as well thank you
Step-by-step explanation:
She used the part, 75, to write the percent ratio. The part-to-whole percent ratio is StartFraction 300 Over 100 EndFraction
1. Assume that the number of hours Jose spent practicing soccer is
represented by x. Miguel practiced 5 hours more than 2 times the
number of hours that Jose practiced. How long did Miguel
practice?
a. 2x + 5
b. 2x − 5
c. 2x + 8
d. 5x + 5
2. Zack gets paid five dollars less than three times what Ty'Shaun gets
paid. If the number of dollars that Ty'Shaun gets paid is represented
by x, what does Zack get paid?
a. 5 − 3x
b. 5x − 3
c. 3x − 5
d. 3 − 5x
3. If the expression 9y − 5 represents a certain number, which of the
following could NOT be the translation?
a. five less than nine times y
b. five less than the sum of 9 and y
c. the difference between 9y and 5
d. the product of nine and y, decreased by 5
4. Brenda starts work at 4:00 and Dee starts at 5:00. They both finish at the
same time. If Angela works x hours, how many hours does Dee work?
a. x + 1
b. x − 1
c. x
d. 2x
5. Isabel bought six books that cost d dollars each. What is the total cost
of the books?
a. d + 6
b. d + d
c. 6d
What is the slope of the line that goes through the points (1,-2) and (3,6)?
A.) -4
B.) 2
C.) 4
D.) 1
Answer:
(C). 4Step-by-step explanation:
[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}\\\\\left(x_1,\:y_1\right)=\left(1,\:-2\right),\:\\\left(x_2,\:y_2\right)=\left(3,\:6\right)\\\\m=\frac{6-\left(-2\right)}{3-1}\\\\m = \frac{6+2}{3-1}\\ \\m = \frac{8}{2} \\\\Simplify\\\\Slope = m = 4[/tex]
Combine like terms.
6h + C + 3f + 2f + 2h
Do not use any spaces in your answers.
Answer:
Step-by-step explanation:
Imagine h = hedgehog
C = cat
f = ferret
6h + C + 3f + 2f + 2h is like saying
6hedgehogs + cat + 3ferrets + 2ferrets + 2 hedgehogs =?
You can only combine the things that are the same.
This means you get 8 hedgehogs + cat + 5 ferrets.
In other words,
8h + 5f + C
plz help
What is the solution set for the inequality
2x + 5 ≥ 15
Answer:
[tex]x\geq 5[/tex]
Step-by-step explanation:
Answer:
X [tex]\geq[/tex] 5
How would you find the sign of the quotient 32/(-2)/16/(-4)
Answer:
.25
Step-by-step explanation:
Can someone explain this to me!!! Will give the brainliest!!!!
Answer:
88 degrees
Step-by-step explanation:
First, notice that when you rotate a point 272 degrees clockwise, there will be 88 more degrees before it returns to its original point (since a 360 turn is equivalent to not moving, and 360-272=88).
Because of that, we can deduce that rotating a point 88 degrees counterclockwise will be equivalent to rotating it 272 degrees clockwise.
We can know that that's the smallest possible positive answer, because any angle smaller than 360 will be the smallest possible way to express it.
Jason bought 4 new baseball trading cards to add to his collection. The next day his dog ate half of his collection. There are now only 39 cards left. How many cards did Jason start with?
Answer:
78
Step-by-step explanation:
One math student, John, can solve 6 math problems in 20 minutes while another student, Juaquine, can solve the same 6 math problems at a rate of 1 problem per 4 minutes. Who works faster?
1.John
2.Juaquine
Answer:
John
Step-by-step explanation:
6/20=0.3
1/4=0.25
Juaquine is solving problems at a faster rate as compared to John.
What is the rate?A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.
As per the question, we can compare their rates of problem-solving by calculating the number of problems they can solve per minute.
For John, this is 6 problems / 20 minutes = 0.3 problems per minute.
For Juaquine, this is 6 problems / (4 minutes/problem) = 1.5 problems per minute.
Since Juaquine can solve 1.5 problems per minute compared to John's 0.3 problems per minute, Juaquine is solving problems at a faster rate.
Hence, Juaquine works faster as compared to John.
To learn more about the rate click here :
https://brainly.com/question/12786410
#SPJ2
which inequality is true for all real numbers? Check all that apply.
1. a-b < a+b
2. ac ≥ bc
3. if a ≥ b, then a+c ≥ b+c
4. if c > d, then a-c < a-d
5. if a < b, then a < b+c
Answer:
The answer is 1, i.e a-b < a+b
Its C: If a ≥ b, then a + c ≥ b + c
and D: If c > d, then a– c < a – d
The Baldwin family walked 4/5 of a mile in 4/9 of an hour. What is their unit rate in miles per hour?
1. four -ninths over four-fifths = four over nine mile per hour
2. four-fifths over four-ninths = one and four-fifths miles per hour
3. four-ninths over four-fifths = one and four-fifths miles per hour
4. four-fifths over four-ninths = four over nine mile per hour
Answer:
They went 1 4/5 mph or 1.8 mph.
Step-by-step explanation:
Hope this helps!
A package of 4 pairs of insulated socks costs $35.56 What is the unit price of the pairs of socks?
8.89
:
Step-by-step explanation:
Answer: $8.89
Step-by-step explanation:
$35.56/4 = $8.89
Rewrite the equation 2y - 4x = 10 in function notation where f(x)= y.
f(x)=
Answer:
Answer:
f(x) = 5 + 2x
y+4x^2-1 is the same as y=-4x^2+1, then replace y with f(x); f(x)=-4x^2+1. After you do that, replace x with 2; f(2)=-4(2)^2+1. 2^2=4, 4 times -4=-16, -16+1=-15. So f(2)=-15.
Answer:
f(x) = 5 + 2x
Step-by-step explanation:
2y - 4x = 10
+4x +4x
2y = 10 + 4x
Now we have a new equation but we have to isolate the variable y.
[tex]\frac{2y}{2}[/tex] = [tex]\frac{10 + 4x}{2}[/tex] Then divide to solve for y.
y = 5 + 2x
Since f(x) is the same thing/equal to y we can just replace that.
f(x) = 5 + 2x
Hope that helps and have a great day!
YOOOOOOOO I FINALLY WAS ABLE TO GET REGISTERED
Answer:
Ty for the free points lol
(Please help) What is the inverse of the function f(x)=x+3?
H(x)= 1/3x + 3
H(x)= 1/3x -3
H(x)= x - 3
H(x)= x + 3
What are the Slope and Equation of the graph?
Answer:
Slope= -3
Equation: y=-3x-44
(1 point) The linear function y=3x+30 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the rate of change in the average cost of a haircut over time.
Answer:
3 is the slope
Step-by-step explanation:
Mathematically, a linear function can be represented in the form;
y = mx + c
where m represents the slope and c is the y-intercept of the function.
In the equation given in the question above;
The slope of the equation is 3
What this means is that, the average rate of change between two points in the plot of the linear function is 3
Mathematically speaking, we mean that given two years and their corresponding average haircut prices, then the average rate of change between these two years on the plot is 3
−x+y=−5
What is the value of the x-intercept?
Which of these equations has a negative sloping line?*
O y=-2/3x +8
O y = 2/3x - 8
O y = 4/3x +10
O y = 9/5x - 3
Answer:
Option 1.
Step-by-step explanation:
That option is the only one with a negative x coefficient, which is the slope.
Answer:
y=-2/3x +8
Step-by-step explanation:
the coefficient of x determines the slope of the line so negative coefficient, negative slope line
4) f(x) = 2x^5+4x^4+11x^3+22x²+12x+24; -2
please show the steps on how to find the roots
Answer:
Step-by-step explanation:
f(x) = 2x^4(x + 2) + 11x^2(x + 2) + 12(x + 2)
f(x) = (x+2) [2x^4 + 11x^2 + 12]
f(x) = (x + 2)(2x^2 + 3)(x^2 + 4)
is y = 1/2x + 3 proportional
Answer:
most likely
Step-by-step explanation:
y=1/2x+3
substitute 4
y=2+3=5
substitute 6
y=3+3=6
i need HELP!
Model the following situation with an equation or inequality statement.
The quotient of forty-nine and a number is greater than or equal to seven.
49 ÷ x ≥ 7
hope this helps! :):)
Mr. Morgan ingested $20,000 dollars in an account earning 4.5% annual interest. How many years would it take for him to earn $5,400 in simple interest?
I know the answer is 6 but I just don’t know HOW
Answer:
6
Step-by-step explanation:
which of the lines below is parallel to y = 5x + 7 ?
Any line with a slope of 5 is parallel, because parallel lines have the same slope.
How you do this ???????
Answer:
the answer is 5 because that is the difference which is what they are asking.
Step-by-step explanation:
12 -7 =5
. . . . . . .| . . . . .
-
. . . . . . .|
| . . . . .
HELP ME HELP ME please !!! 10 points
Answer:
4 &15 i think
Step-by-step explanation:
Answer:
slope is rise over run (rise/run) so the slope is 3/2 and y-int is at (0,9)
Step-by-step explanation:
lol i commented it earlier^^^^^
Jill says 12.6¯¯¯ is less than 12.63. Explain her error.
P.S: The line is supposed to be over the 6
Answer:
Her error is 12.6¯¯¯ being more than 12.63
Step-by-step explanation:
The bar above the 6 means repeating so 12.6¯¯¯ would be 12.666 and 12.666 is more than 12.63.