Donald's Earnings, x (dollars) Fallons Earnings, y 38 45 43 50 48 55 53 60 58 65 Which equation best represents Fallon's earnings in terms of Donald's earnings? A. y=x+7 B. X=7y C. y=7x D. x=y+7
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.
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9th Grade Honors Geometry
Answer:
The Correct Answer is 4!
Step-by-step explanation:
We know on triangle 1 that 2 of the sides are 2 and 4 and there a right angle, an angle that has 90 degrees
with this we can calculate the top angle to be 26.565 which combined on both sides is equal to 90, lust you will then have to subtract 90 minus 26.565 and you will get 63.435. Now that we know than the top angle is equal to 63.435, the 2nd angle is equal to 90 degrees which by the way resembles a right angle, and that 1 side of the 3 sides is 2 we can conclude though the triangle formula that...
X=4.
That's it Hope I Helped.
substitute this equation x+3y=18 & -x-4y=-25
Answer:
{x,y} = {3/7,-43/7}
Step-by-step explanation:
System of Linear Equations entered :
[1] x + 3y = -18
[2] -x + 4y = -25
Graphic Representation of the Equations :
3y + x = -18 4y - x = -25
Solve by Substitution :
// Solve equation [1] for the variable x
[1] x = -3y - 18
// Plug this in for variable x in equation [2]
[2] -(-3y-18) + 4y = -25
[2] 7y = -43
// Solve equation [2] for the variable y
[2] 7y = - 43
[2] y = - 43/7
// By now we know this much :
x = -3y-18
y = -43/7
// Use the y value to solve for x
x = -3(-43/7)-18 = 3/7
Solution :
{x,y} = {3/7,-43/7}
please help and show work! :)
Step-by-step explanation:
how do you show work cuz I screenshot it but it won't let me write over the thing and put the answer so can I just type it out
A family purchased tickets to a museum and spent a total of $45.00. The family purchased 5 tickets. There was $1.50 processing fee for each ticket. What is the cost of one ticket without the processing fee?
find the area of the shape
Answer:
787.5
Step-by-step explanation:
23×14=322
A=a+b /2h=15+34 /2·19=465.5
322+465.5=787.5
(this is about Write Expressions)
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Eric is 3 times older than his sister Alyssa. Eric is 15 years old. Create an equation to find out Alyssa's age
Answer:
the answer is five because 3 times 5 is 15
Step-by-step explanation:
Answer:
Equation : - three times a number is equal to 15
3x = 15
x = 15 ÷ 3
x = 5
7x^2 + 3 - 5x -\2x^2
Step-by-step explanation:
[tex] {7x}^{2} + 3 - 5x - {2x}^{2} \\ = {5x}^{2} - 5x + 3[/tex]
Which statement is not true in the
equation
y = 0.5x?
Answer:
Are there set answers? Ill edit my answer after.
Step-by-step explanation:
Each serving of food at an awards lunch costs $10.46. A total of 42 people attend the lunch.
What is the total cost for the food at awards lunch?
Enter your answer in the box.
Answer:$439.32 us$
Step-by-step explanation: $10.46 x 42
Answer:
439.32
Step-by-step explanation:
I took da test
Answer each question based on the graph below. How many solutions does this system have? ___________________ List the solution(s) to this system ____________________ What is the x-intercept of the linear equation? ____________________ What is the y-intercept of the quadratic equation? ____________________
If two men can finish a piece of work in 30 days, then how many men will be required to finish the same work in 10 days?
If two men can finish a piece of work in 30 days, then how many men will be required to finish the same work in 10 days?
it would take a half of man to finish the same piece of work in 10 days.
please help asap!!!!!!!!!!!!
7853.98mm
Step-by-step explanation:
Circumference is pi times diameter so the diameter is 100 millimeters
Diameter is 2 times the radius so the radius is 50 millimeters
Area is pi times the radius squared so the area is about 7853.98 millimeters squared
Answer:
A = 795.77
Step-by-step explanation:
Using the formulas
A=πr2
C=2πr
Solving forA
A=C2
4π=1002
4·π≈795.77472
what’s 3-4/7 equal as a fraction?!
Answer:
17/7 or 2 3/7
Step-by-step explanation:
3 is the same as 21/7. Subtract 21/7-4/7 to get 17/7.
Hope it helps!
Hey there. Hope you're having a pleasant morning/evening and wherever else in between. The answer of 3-4/7, as far as I can remember, is -1/7.
Please Help for brainliest and points
Find the scale factor
A. 3.5
B. 3/5
C. 35
Answer:
3.5
Step-by-step explanation:
35/10 = 3.5
Find the quotient. 4,610 ÷ 16
show work please <3.
4,610 divided by 16 is 288.125
Work:
is the relation a function?
Sam deposited $400 into her savings account that earned 4.5% interest per year. How much money did she have after 2.5 years?
Answer:
$445
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 4.5%/100 = 0.045 per year,
then, solving our equation
I = 400 × 0.045 × 2.5 = 45
I = $ 45.00
The simple interest accumulated
on a principal of $ 400.00
at a rate of 4.5% per year
for 2.5 years is $ 45.00.
|The angles in a triangle are in the ratio 1:1:4
|(a) Find the size of the largest angle?
b) what type of triangle is it?
Since the internal angle sum of a triangle is 180 degrees, and the angles are in ratio if 1:1:4, the angles with that's corresponding to the 1 will have value of 180/6=30 degrees.
The largest angle will have value 30*4=120 degrees.
This is an obtuse triangle because largest angle>90 degrees.
Find the Least Common Denominator of
12 and 3
10
5
35
70
O 17
Answer:
the least common denominator is 12
HELP HELP HELP!!!!!!!
A piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
Find both the explicit and recursive rule for this geometric sequence.
Answer:
sorry i am struggling the same
Step-by-step explanation:
2+2=4
The answers to each part are mentioned below.
What is geometric sequence? What is an exponential function? Differentiate between equation and expression? geometric sequence : A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is a piece of paper is 0.1 millimeter thick. When folded, the paper is twice as thick.
We can write the geometric sequence as -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula for a geometric sequence is of the form -a{n} = arⁿ ⁻ ¹
where [r] is the common ratio.
The recursive formula for a geometric sequence is of the form -a{n} = a{n - 1}rFor the geometric sequence -
0.1, 0.2, 0.4, 0.8 ......
The explicit formula will be : a{n} = (0.1)(2)ⁿ ⁻ ¹ The recursive formula will be : a{n} = 2a{n - 1}If the paper is folded 7 times, we can write the thickness as -
y{7} = (0.1)(2)⁶ = (0.1) x (64) = 6.4
To surpass the Mount Everest, we can write -
8850 < (0.1)(2)ⁿ ⁻ ¹
(2)ⁿ ⁻ ¹ > 88500
(2)ⁿ/2 > 88500
(2)ⁿ > 177000
n log(2) > log(177000)
n > {5.25/log(2)}
n > 17.44
n > 18
Therefore, the answers to each part are mentioned above.
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
#SPJ2
Find f(-2) this is due in 10mins help please
-2f
Step-by-step explanation:
move the -2 to the left of the f
6÷82,607 equals what
Answer:
0.00007263306
Step-by-step explanation:
Answer:
13,434
Step-by-step explanation:
find the number of inches needed to represent 300 miles if one fourth in =50 mi
Answer:
1.5 in
Step-by-step explanation:
if one quarter of an inch represents 50 mi then and we know 50 x 6 = 300 then you would need 6 fourths of an inch or one and a half inches.
Make the following changes to the number 5.376: Make the 3 worth 10 times as much. Makethe5worth_1 asmuch.
10
Makethe7worth_1 asmuch. 10
Make the 6 worth 10 times as much. Write the new number.
Answer:
Step-by-step explanation:
your mom
What is the area of this composite figure??
Please help! I am so confused!
Answer:
180 cm²
Step-by-step explanation:
Area of Triangle: 1/2bh
You can divide the figure into two parts: top and bottom.
Top:
1/2(4)(12)
1/2 (48)
24
24 • 2 (two triangles) = 48 cm²
Bottom:
1/2(12)(11)
1/2 (132)
66 • 2 (two triangles) = 132 cm²
Add them up: 48 cm² + 132 cm² = 180 cm²
Tom's Ice Cream Shop sold 7 sundaes with nuts and 5 sundaes without nuts. What is the ratio of the number of sundaes with nuts to the number of sundaes without nuts?
Answer:
20 : 28
5 : 7 = 20 : 28. And 7 is a fourth of 28.
A shoe store uses a 50 percent markup for all of the shoes it sells . What would be the selling price of a pair of shoes that has a wholesale cost of 65$
Answer:
97.50
Step-by-step explanation:
65.00x50%=32.50
32.50+65.00=97.50
Answer:
/
Step-by-step explanation:
The price of a pair of jeans increases from £45.00 to £47.50.
What is the percentage increase in the price of the jeans?
Give your answer correct to 1 decimal place.
