Answer:
The problem implies that we want to write the (average) amount of natural sweeteners consumed per person as a function of time. Let y represent the (average) amount of natural sweeteners consumed per person (in pounds), and let x represent the time measured in years since 1990. That is, x = 0 represents 1990. If y is a linear function of x, then we can use the slope-intercept form y = mx + b (where m is the slope and b is the y-intercept) to write the function.
The slope can be interpreted as the rate of change of y with respect to x, which in this case means the change in consumption of natural sweeteners per year. The statement that consumption has decreased by 0.6 pounds per year tells us that the slope is m = -0.6 Also, the y-intercept is the same as the y-value of the function when x = 0. (In our case, that means time 0, that is, 1990.) Therefore the y-intercept is b = 133. Hope that helps! Let me know if you have any further questions.
Step-by-step explanation:
Answer:
Y=133+.6x
Step-by-step explanation:
Just did this
SALES Cars and trucks are the most popular vehicles. Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. There were 216,000 cars sold last year. Write an equation that can be used to find the number of trucks, t, sold last year.
Given :
Miki has 104 nickels and 88 dimes. She wants to divide her coins into groups where each group has the same number of nickels and the same number of dimes.
There were 216,000 cars sold last year.
To Find :
Equation that can be used to find the number of trucks, t, sold last year.
Solution :
Let , number of truck sold is t and number of car sold is c.
It is given that the number of cars sold was 39,000 more than three times the number of trucks sold.
So ,
[tex]c=3t+39000\\\\t=\dfrac{c-39000}{3}[/tex]
Putting value of c = 216000 in above equation , we get :
[tex]t=\dfrac{c-39000}{3}\\\\t=\dfrac{216000-39000}{3}\\\\t=59000[/tex]
Hence , this is the required solution .
An equation is formed of two equal expressions. An equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given that in the Last year, the number of cars sold was 39,000 more than three times the number of trucks sold. Therefore, we can write,
Number of cars sold = 39,000 + 3 times the number of trucks sold
Number of cars sold = 39,000 + 3t
where t represents the number of trucks sold.
Given that number of cars sold is 216,000. Therefore, the equation can be solved for t as shown below.
216,000 = 39,000 + 3t
216,000 - 39,000 = 3t
3t = 177,000
t = 177,000 / 3
t = 59,000
Hence, an equation that can be used to find the number of trucks, t is 216,000 = 39,000 + 3t.
Learn more about Equation here:
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x2 + 3x + 2
x2 + 2x
Answer:
x= -2
Step-by-step explanation:
set the two equations equal to each other, and since the x2 cancels out, you're left with 3x+2= 2x, which simplifies to x= -2
3. -19-8 dind the sum or difference
Answer:
the answer is -27
Step-by-step explanation:
hope this helps
u = b - ak, solve for a
Hey there!☺
[tex]Answer:\boxed{a=\frac{b-u}{k}}[/tex]
[tex]Explanation:[/tex]
[tex]u=b-ak[/tex]
In our first step, we will flip the equation:
[tex]-ak+b=u[/tex]
Now add -b to both sides:
[tex]-ak+b+-b=u+-b\\-ak=-b+u[/tex]
In our last step, we will divide both sides by -k:
[tex]\frac{-ak}{-k}=\frac{-b+u}{-k}\\a=\frac{b-u}{k}[/tex]
a=b-u/k is your answer.
Hope this helps!☺
3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780
Answer:
1992
Step-by-step explanation:
don't think you need an explanation...
Answer:
3x4+10-5+20-5+15-19+5+100+1,000+20+70+1-12+780=1992.
Step-by-step explanation:
follow the order of operations and you will easily get the answer!
which of the following us the solution to | x | +5 < 1
the picture is the choices
Answer:
No solution
Step-by-step explanation:
The lines mean absolute value so any negative number will become positive, meaning once simplified you will have a positive number added to five and there is no positive number that when added to five will be less than 1.
3x6 even or odd? Please
Answer:
it is even .............
Answer:
3x6=18 so its even
Step-by-step explanation:
What does 4•10^6 mean in words?
Please help someone I’ll give you a brainiest and a thanks!
Answer:
4 times 10 to the power of 6
Step-by-step explanation:
• Means Multiplying
^ Means To the power of
Hope this Helped
Branliest is appreciated,
Use a number line to help if needed.
6 Order the numbers from least to greatest.
a. -8, -6, -5, -7
b. -8.2, 6, -3.5, 8.2, -5
Answer:
A. -8,-7,-6,-5 B. -8.2,-5,-3.5,6,8.2
Step-by-step explanation:
3x+7y-12 where x=-4 and y= 6 *
Replace x any with their values:
3(-4) + 7(6) -12
Simplify:
-12 + 42 -12
Solve:
-12 + 42 -12 = 42
Answer:
42
Step-by-step explanation:
3(4)+7(6)-12
12+42-12
54-12
42
At Peninsula High School, the cafeteria is collinear and equidistant from the Science Building
and the library. The Science Building is located at the point (5, 12) on a coordinate plane,
and the cafeteria is at point (12, 16). Find the coordinates of the library.
x=???
y=??
Answer: (19, 20)
Step-by-step explanation:
6(x+9)+7x+14= Distributive Property=simplifying am Expression By multiplying a number a sum or difference.
Answer:
13x+38
Step-by-step explanation:
hope this'll help
Will Mark BRAINLIEST!
We want to factor the following expression:
(x + 5)^4 + 2(x + 5)^2 - 1
Which pattern can we use to factor the expression?
U and V are either constant integers or single-variable expressions.
Answer:
We can’t use any of the patterns
Explanation: I took the quiz
Can someone help me with this please?
Answer:
1 over 2 is the slope :)
Step-by-step explanation:
4x-7=7x-61 solve for x
Answer:
x = 18Step-by-step explanation:
4x - 7 = 7x - 61
Subtract 7x from both sides
That's
4x - 7x - 7 = 7x - 7x - 61
- 3x - 7 = - 61
Add 7 to both sides
We have
- 3x + 7 - 7 = - 61 + 7
- 3x = - 54
Divide both sides by - 3
That's
[tex] \frac{ - 3x}{ - 3} = \frac{ - 54}{ - 3} [/tex]We have the final answer as
x = 18Hope this helps you
Answer: 18
Step-by-step explanation:
4x - 7 = 7x - 61
+61 +61
4x + 54 = 7x
divide both sides by 4
x + 27/2 = 7/4x
-x -x
27/2 = 3/4x
divide both sides by 3/4
x = 18
round 673,432 to the nearest thousand
Answer:
Hi there!
Your answer is:
673,000
Step-by-step explanation:
The thousand place is 673,432!
Since 4 is lower than 5, we round down !
Hope this helps
9a-ab+5b
if a=2 and b=7
Answer:
39
Step-by-step explanation:
9a=18 ab=14 5b=35
18-14+35=39
Answer:
39
Step-by-step explanation:
9a-ab+5b
a=2 and b=7
we substitute the variables with their real numbers
9(2)-(2 x 7)+5(7)
from here we just simplify the equation
18-14+35=39
Find the least common denominator of the two fractions from part B. To do this, list and compare the first five multiples of the denominators. The smallest number that appears in both lists is the least common denominator. Show your work.
The least common denominator of the fractions 2/9 and 3/4 is 36
How to determine the least common denominator?The fractions are given as 2/9 and 3/4
The denominators in the above fractions are 9 and 4
List the multiples of 9 and 4
9: 9, 18, 27, 36, 45
4: 4, 8, 12, 16, 20............, 36, 40....
The smallest common multiple in the above list is 36
Hence, the least common denominator of 2/9 and 3/4 is 36
Read more about least common denominator at:
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Determine the number of solutions,
y = -x-4
12y + 48 = 8x
Answer:
one solution
Step-by-step explanation:
The ratios of x-coefficient to y-coefficient for these equations are -1 and 2/3. These values are different, so the lines have one point of intersection.
There is one solution.
__
The solution is (x, y) = (0, -4).
what is -12 + (-66) + (-48)
Answer:
-126
Step-by-step explanation:
-12-66-48=
-78-48=
-126
Answer:
-126
Step-by-step explanation:
1- remove the parentheses -12-66+(-48)
2- change + to - so now its -12-66-48
3- calculate the sum of the negative numbers.
Then you get -126
What is the sum of -2 + (-5)?
Answer:
-7
Step-by-step explanation:
Answer:
The sum is -7
Step-by-step explanation:
A ______ is a graph of data based on quartiles showing a rectangle with lines extending from both its ends.
I need help will mark as BRAINIEST
Identify the function family of a graph that is made up of two straight lines, has an absolute
maximum or absolute minimum, and is symmetric.
Answer:
The answer is Linear absolute value .
I hope I helped ;-)
Step-by-step explanation:
Solve each inequali
2x - 1 < 11
how do i solve this
Answer:
x < 6
Step-by-step explanation:
2x - 1 + 1 < 11 + 1
2x < 12
x < 6
The sum of a rational number and an irrational
number is
rational.
DONE
Answer:
Step-by-step explanation:
The sum of any rational number and any irrational number will always be an irrational number.
Anyone know the answer to
13x-4=11x+10-8
Answer:
Step-by-step explanation:
13x - 4 = 11x + 2
2x - 4 = 2
2x = 6
x = 3
During a workout, Vince tries to keep Nis
heart rate at 134 beats per minute. His
actual heart rate varies from this value by
as much as 8 beats per minute. Write
and solve an absoluto value inequality to
find Vince's range of heart rates,
Answer:
16 3/4 or 16.75
Step-by-step explanation:
134/8=16 3/4or 16.75
f(x) = x^2- 2x- 3
g(x) = 5x^2
²
Find f (g(x)) -
Greetings from Brasil...
For the composite function F(G(X)), just replace the function G(X) in the X of F(X):
F(X) = X² - 2X - 3
G(X) = 5X²
F(G(X)) = [G(X)]² - 2 · [G(X)] - 3
F(G(X)) = [5X²]² - 2 · [5X²] - 3
F(G(X)) = 25X⁴ - 10X² - 3what is √343 in simplest form
Answer:
343½ = 7 x 7½
Step-by-step explanation:
Step 1: List Factors. List the factors of 343 like so:
Step 2: Find Perfect Squares. Identify the perfect squares* from the list of factors above:
Step 3: Divide. ...
343 / 49 = 7.
Step 4: Calculate.
Step 5: Get Answer.
Answer:
[tex]7\sqrt{7}[/tex]
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors, assuming positive real numbers.
Noah earned n dollars over the summer. Mai earned $275, which is $45 more than Noah did. write an equation to match this
Answer:
n= 275-45
Step-by-step explanation:
Mai got 45 more than Noah. This tells you that it's a subtraction problem.
