Given:
The table of values for Fallon's earnings in terms of Donald's earnings.
To find:
The equation that best represents Fallon's earnings in terms of Donald's earnings.
Solution:
In the given table the x-values are increasing by 5 units and y values increasing by 5 units. It means the rate of change of y with respect to x is constant and the table represents a linear function.
If the graph of a linear function passes through two points, then the equation of linear function is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Consider any two points from the table. Let the two points are (38,45) and (43, 50). Then, the equation is
[tex]y-45=\dfrac{50-45}{43-38}(x-38)[/tex]
[tex]y-45=\dfrac{5}{5}(x-38)[/tex]
[tex]y-45=1(x-38)[/tex]
[tex]y-45=x-38[/tex]
Adding 45 on both sides, we get
[tex]y=x-38+45[/tex]
[tex]y=x+7[/tex]
Therefore, the correct option is A.
TOPIC: You and two friends have $20 to spend on snacks after school.
Explain how you would divide the money between the three of you.
Explain where you would go and what you would buy with your money.
3. In ΔABC, AB = 5 inches and BC = 3 inches. Which of the choices represents all possible values for AC, in inches?
Answer:
2< AC<8
Step-by-step explanation:
For a triangle to exits sum of two sides must always be greater than the the third side
⇒ AC< AB+ BC =5+3=8 in
⇒AC<8 in
Also, the difference of the two sides must be smaller than the length of third side
⇒ AC> | AB-BC| = |5-3| =2
AC> 2 in
therefore, we can say 2< AC<8. Hence, AC can takes 3,4,5,6 values
The first three terms of a sequence are given. Round to the nearest thousand (if necessary). 9, 18, 36 Find the 6th term.
4x – y = 7 3y – 12x = –21
Answer:
y= 4x − 7 or 0=0
Step-by-step explanation:
4x−y+−4x=7+−4x
Find the value of x. 4 х 25 10 X = = [?]
Answer:
X=10
Step-by-step explanation:
1. It's either B or D
Write a function rule that gives the total cost c(p) of p pounds of sugar if each pound costs $0.42.
A. c(p) = p + 0.42
B. c(p) = 42p
C. c(p) = p/0.42
D. c(p) = 0.42p
Answer:
D. c(p) = 0.42p
Step-by-step explanation:
total cost = .42(P)
Example: 5 lbs
$2.10 = $.42(5)
c(p) = 0.42p <== ur function
Since a pound of sugar increases proportionally to the total cost of sugar bought, then the function can be written as:
c(p) = 0.42p
Where: c(p) = total cost of sugar bought
p = pounds of sugar
c(p) is a function of p, because c(p) depends on p.
Answer: The function rule that gives the total cost is given by
Step-by-step explanation:
Let the number of pounds of sugar be 'p'.
Let the total cost would be C(p).
Cost of each pound = $0.42
So, the function rule would be
Hence, the function rule that gives the total cost is given by
At Garland School, 3/5 of the 490 students are boys.
At Bowood School, 5/7 of the 945 students are girls.
Which school has the greater number of girls and by how many?
You must show your working.
Step-by-step explanation:
the bowood school by 455 kids
Plz help me.............
can someone please help me!
Answer:
60
Step-by-step explanation:
here is the answer to ur question
Thanks, i really dont get how you are answering your own question but thanks anyway
.
If x is to y as 4 is to 5, then what is y : x?
Answer:
4:5
Step-by-step explanation:
You are doing ratios
in the diagram below, de is parallel to xy. what is the value of y
5x - 7
3x + 1
11x – 4
❤️13 each❤️✌pls and ty
The sum of 1 and a number divided by 7 is 66
461+1=462
462÷7=66
Your answer is 461
Answer:
461
Step-by-step explanation:
Work backwards.
7 X 66=462
462-1=461
So 461 is the answer
PLEASE HELP ME I WILL MARK RBAINLIEST I SWEAR
Answer:
160=b
14
b: 2240
Answer:
b= 2240
Step-by-step explanation:
Multiply all terms by the same value to eliminate fraction denominators
then you simplify
hope this helps!
The quantity inside a 3-dimensional space is called its
A.volume
B.heaviness
C.length
D.ratio
Answer:
volume
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
theres no weight refered, no length and ratio i dont know cause im not english but i think its A
can yall do me a favor, i know this random but i got played by someone so can u spaam his ig, acc name is sturdyyyyy_ just spam his comments called him a cheater and tell him he weird. please. females help a person out.
Answer:
okkkkk
Step-by-step explanation:
will give brainliest to first correct answer
Answer:
A or C
Step-by-step explanation:
Bruce flipped a penny 5 times. It landed on heads 2 times and tails 3 times. If he flips the coin a 6th time, what statement is true?
A. It is more likely to be heads.
BIt is equally likely to be heads or tails.
C. It is more likely to be tails.
D. It in not likely to be tails.
Answer:
B
Step-by-step explanation:
I would say B because they're only 2 options head and tails.
✩brainliest appreciated ✩
A square picture has a 3-in. frame around it. If the area of the frame alone is 96 in.2 , what is the area of the picture?
Answer:
[tex] {25in}^{2} [/tex]
Step-by-step explanation:
see attached image
what does 74% of 160
Equal
Answer:
Step-by-step explanation:
74% of 160 = 118.4
Answer:
118.4
Step-by-step explanation:
74/100 is 0.74
0.74 x 160 = 118.4
Hope this helps :)
solve the equation -30p-2=58 for p.
Answer:
p=-2
Step-by-step explanation:
1.Combine like terms on both sides.
2.Subtract 6 y 6y 6y on both sides to keep the variable y to the left side only.
3.Add 11 to both sides of the equation.
4.Finally, divide both sides by −10 to get the solution.
Please help me with this homework
Answer:
See screenshot below
Step-by-step explanation:
Yes Bus Column:
We need to find an answer for the "no taxi" section. And we have the total and the "yes taxi" section. So, the "yes taxi" section + the "no taxi" section gives you the total. Another way of saying this is total - "yes taxi" = "no taxi"125 - 30 = 95No Bus Column:
We need to find the total of the "yes taxi" section and the "no taxi" section. So, if we add those two sections together, we'll get the total90 + 185 = 275Total column:
So, this column is really simple to fill out. All we're doing it adding our answers above to get one answer in each section."Yes Taxi" section: 30 + 90 = 120"No Taxi" section: 280Total section: 125 + 275 = 400We could have also done the total section by adding together 120 and 280, but we would get the same answer, anyway.I hope this helps!
What expressions are equivalent to 2 to the power of 6
A. 6x6x6x6x6x6
B.2x2x2x2x2x2
C.2x6
D.4x16
E.12x12
F.8x8
The expression are equivalent to 2 to the power of 6 is,
B. 2x2x2x2x2x2.
What are some rules of exponents?Some common rules of exponents are
xᵃ×xᵇ = xᵃ⁺ᵇ.
xᵃ/xᵇ = xᵃ⁻ᵇ.
Addition and subtraction of exponents are only possible for the same base value and when the base is different and both have the same exponent we just multiply the bases and write the exponent.
We also know that a multiplied by a 'n' number of times can be written
as aⁿ.
Now, 2 to the power of 6 in exponent form is 2⁶ which states 2 is multiplied by 2, 6 times.
Therefore, From the given options the expression that is equivalent to
2⁶ is 2x2x2x2x2x2.
learn more about exponents here :
https://brainly.com/question/5497425
#SPJ2
Angles 1 and 2 are supplementary.
• The measure of angle 1 is (2x - 3) ◦
• The measure of angle 2 is (-5x + 423) ◦
What is the measure of angle 2?
Answer:
1 = 157°
2 = 23°
Step-by-step explanation:
because the angles are supplementary, their angles will add up to 180°set up the equation (2x-3)+(-5x+423)=180combine like terms to get -3x+420=180subtract 420 from 180 to get -3x=-240divide by three and get x=80now plug in 80 for x in both equationsA car traveled 36 miles in 45 minutes.the car traveled at a constant speed.if the car continues to travel at this rate,which equation can be used to determine y,the total number of miles the car will travel,in x hours
Car traveled 36 miles in 45 minutes the car
Car traveled
Alice baked 88 cookies with 11 scoops of flour. With 12 scoops of flour, how many cookies
can Alice bake? Solve using unit rates.
Corey spent $17.00, inculding sales tax, on 2 sanwiches cost $5.25 each and the total sales tax was $0.92. What was the cost of each drink.
Answer:
Well to start you already know the sandwich cost 5.25 and the total sales tax .92.
To find the cost of each drink
5.25 x 2= 10.50
10.50+.92=11.42
17.00-11.42= 5.58
5.58/3= 1.86
So the cost per Drink is $1.86
Step-by-step explanation:
Hope this helped!
(Giving brainiest.) Explain why each statement might be true or might be untrue. Tell if each is an example of inductive or deductive reasoning? Justify your answers.
2. To get a high school diploma a student must have 24 credits. Cindy has 24 credits. Therefore, Cindy must have a high school diploma.
Answer:
Deductive because you would use multiple statements to draw a conclusion
A lion's heart beats 6 times in 8 seconds. How many heartbeats will it have in 40 seconds?
Answer:
30 times
Step-by-step explanation
Answer:
30
Step-by-step explanation:
