Answer:
The answer would be (B) y = 1.5x + 8
Step-by-step explanation:
The equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.
What is Equation Modelling?Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.
Given is Aaron who is reading a book. After 4 minutes of reading, Aaron was on page 14 of his book and after 8 minutes he was on page 20.
Now -
(x) represents the number of minutes and (y) is the number of pages.
At x = 4, y = 14
At x = 8, y = 20
The slope of the line will be -
m = (20 - 14)/(8 - 4)
m = 6/4
m = 3/2
The general equation can be written as -
y = 3x/2 + c
20 = 3/2 x 8 + c
20 = 12 + c
c = 8
Now, we can write the equation as -
y = 1.5x + 8
Therefore, the equation that models the number of pages (y) and number of minutes (x) is y = 1.5x + 8.
To solve more questions on Equation modelling, visit the link below-
https://brainly.com/question/17928312
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10x² - x - 2 = 0
whats thr solutions in fractions
Answer:
X=1/2, -2/5
Step-by-step explanation:
Solve the equation for X by finding a, b, and c of the quadratic then applying the quadratic formula.
Answer:
:) :) :) :) :) :) :0
Step-by-step explanation:
2/5 and 1/2
paint cost 29.95 dollars per gallon, Eumya needs 12.25 gallons to complete a painting project. how much will Eumya spend on paint?
Answer
Step-by-step explanation:
what is 3/2=9/10k im having troble lots rly
Answer:
k= 5 over 3 =1.667
Step-by-step explanation:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
(3)/(2)-((9)/(10)*k)=0
simplify 9/10
3 9
— - (—— • k) = 0
2 10
simplify 3/2
3 9k
— - —— = 0
2 10
Find the Least Common Multiple
The left denominator is : 2
The right denominator is : 10
Least Common Multiple:
10
Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Deniminator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 5
Right_M = L.C.M / R_Deno = 1
Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 3 • 5
—————————————————— = —————
L.C.M 10
R. Mult. • R. Num. 9k
—————————————————— = ——
L.C.M 10
Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3 • 5 - (9k) 15 - 9k
———————————— = ———————
10 10
Pull out like factors :
15 - 9k = -3 • (3k - 5)
-3 • (3k - 5)
————————————— = 0
10
When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.
Here's how:
-3•(3k-5)
————————— • 10 = 0 • 10
10
Now, on the left hand side, the 10 cancels out the denominator, while, on the right hand side, zero times anything is still zero.
The equation now takes the shape :
-3 • (3k-5) = 0
Solve : -3 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Solve : 3k-5 = 0
Add 5 to both sides of the equation :
3k = 5
Divide both sides of the equation by 3:
k = 5/3 = 1.667
one solution was found
k = 5/3 = 1.667
hope it helps sry its so long
If you simplified 10/15 as a fraction what would the answer be
Answer:
2/3
Step-by-step explanation:
10/15 can be divided by 5
Explain why 10 x 2 is equivalent to 10 ÷ 1/2.
Answer:
in order to divide by a fraction, you need to multiply by its reciprocal instead, which would be 2 over 1 (2/1)
Step-by-step explanation:
in this case, 10 divided by 1/2 turns to 10 x 2/1
i tried my best, sorry if i couldnt help
The number π is A. Rational B. Irrational
Help......,...........
66 degrees
Thing you have to know for these types of problems: The total measure of all angles is 180 degrees.
With that in mind, if we add 83 and 31, we get 114 degrees.
Now subtract from 180 and you will get 66 degrees.
Hope this helps, Please mark branliest if it did
Please help me with this
Answer:
D
Step-by-step explanation:
x² – x² – 3x + 3
all rational zeros to a polynomial
Answer:
x = 1
Step-by-step explanation:
[tex] {x}^{2 } - {x}^{2} - 3x + 3 \\ - 3x + 3 \\ 3x = 3 \\ x = 1[/tex]
Help please! (Please do not answer with links)
Three step linear equations
8x - 10 = 4x - 30
Answer:
x = -5
Step-by-step explanation:
8x - 10 = 4x - 30
Subtract 4x from each side
8x-4x - 10 = 4x-4x - 30
4x -10 = -30
Add 10 to each side
4x-10+10 = -30+10
4x= -20
Divide by 4
4x/4 = -20/4
x = -5
What is the property of 42x1=42
freeZ Pointz!!!!!!!!!
Answer:
thankk youu
Step-by-step explanation:
The bill at a restaurant came to $136.40.The customer decided to leave a 15% tip.What was the total bill including tip.
Answer:
$156.86
Step-by-step explanation:
To calculate tip, you need to multiply the total bill by the percent tip you are going to leave. In this case the bill is $136.40, and the customer is going to leave a 15% tip. So, you would want to move the decimal place over to the left by 1, which you should get 13.64 as your number. Then divide it in half, which should give you 6.82. Now add 13.64 and 6.82 with the original bill price. If you don't add the 13.64 you would've forgotten the 10% part of the tip. At the end you should get $156.86 as your final bill.
Consider the equation and its solution.
8 (x minus 2) = 64. 8 x minus 16 = 64. 8 x = 80. x = 10.
Which property is used in the last step to find that x = 10?
Answer:
The answer is Division property of equality
Step-by-step explanation:
Answer:
division property of equality
Step-by-step explanation:
Just took the test on edge
What is the difference of 12-5i and -3 + 4i
PLEASE!!!
3. Determine whether the following table of values represents a linear, quadratic, or neither function. Show your calculations.
b) Explain how you know whether it is a linear, quadratic, or neither function.
Answer:
Quadratic function
Explanation:
It is not linear because the difference between y values is not constant.
([tex]10-5\neq 5-2[/tex] for example) In a linear function, the difference between y values would be constant.
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle.
(2x - 20) (4x - 10)
where do you put a decimal on 64
Answer:
Whats the question tho
Step-by-step explanation:
Worth all my points plus Brainlist answer number 14 please it’s due in three hours
Answer:
Answer below
Step-by-step explanation:
2.08
2.082
2.8
2.82
√8 (it's 2.8284)
Answer:
let me know if im incorrect!
Step-by-step explanation:
2.082, 2.08, 2.8, 2.82, 8 squared (2.828)
How do I simplify (6x-10x^2+3)-(5x^2+3x-4) ???
Answer:
Step-by-step explanation:
6x-10x^2+3-(5x^2+3x-4)
when there is a - in front of an expression in (), change the sign of each term in the expression
6x-10x^2+3-5x^2-3x+4
now collect like terms
3x-10x^2+3-5x^2+4
3x-15x^2+3+4
3x-15x^2+7
now use the commutative property to reorder the terms
-15x^2+3x+7
=-15x^2+3x+7
One of the largest swimming pools in the world is in Garden City, Kansas. It is rectangular and
measures 67 meters by 100 meters. If you swim diagonally across the pool, how many meters would
you swim? Round your answer to the nearest whole meter
Answer:
The answer is 7,000 meters
Step-by-step explanation:
because you do 67*100 which equals to 6,700 and then u round it which makes it equal to 7,00 meter
Answer:
120 meters (approx)
Step-by-step explanation:
Think of the rectangle like two triangles;
if we find the hypotenuse of one, then we know the length of the rectangle across
Remember the Pythagorean theorem:
a^2 + b^2 = c^2
where a and b are the sides of the triangle
so then substitute in the known values:
a = 100
b = 67
now solve
100^2 + 67^2 = c^2
14489 = c^2
sqrt(14489) = c
120.37 = approx c
Last year Essex Manufacturing paid $3500 for utilities. This year the company used energy-saving techniques to reduce the utility bills by 13% of last year's cost. What was the cost of utilities for Essex Manufacturing this year?
Answer:
$3045
Step-by-step explanation:
You need to find 13% of 3500, and subtract it from 3500.
13% of 3500 = 455
3500 - 455 = 3045
SOME ONE PLEASE HELP!!! I HAVE A TEST SOON AND IDK HOW TO DO THIS!!!
im my wallet i have some quarters and some dimes. i have 16 coins in all and they total $2.95. how many of each coin do i have
THANK YOU SO MUCH ILY
Answer:
8 quarters and 8 dimes
Step-by-step explanation:
Answer:
9 quarters 7 dimes they equal $2.95
Given f(x) = 17- x?, what is the average rate of change in f(x) over the interval [1, 5]?
-6
-1/2
1/4
1
Answer: -6
Step-by-step explanation: I just took the test
evaluate 7m+ 3mn when m=8 and n=14?Answers:aA:84,B:196,C:392,D=168
Answer:
c) 392
Step-by-step explanation:
Can someone plz help me asap!
Answer:
The angle across the given measurements are the same. So there will be a 27 degrees across from the other 27 degrees. The straight line is 180 degrees, so do 180-27=153. The means the other 2 angles are 153 degrees. The other one is the same, but with different measurements. 180-35=145
Step-by-step explanation:
Let the angle adjacent to ∠27° be x .
[tex]∠x + 27 = 180° \: ( \: linear \: pair \: )[/tex]
[tex]x = 180 - 27 \\ ∠x = 153°[/tex]
Let the angle opposite to ∠27° be y .
[tex]∠y = ∠27° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle adjacent to ∠y ( 27°) be w .
[tex]w + ∠27° = 180° \: ( \: linear \: pair \: ) \\ w = 180 - 27 \\ ∠w = 153°[/tex]
Let the angle opposite to ∠35° be p .
[tex]∠p = ∠35° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle adjacent to ∠35° be a .
[tex]∠a + 35° =180 ° \: ( linear \: pair ) \\ a = 180 - 35 \\ ∠a = 145°[/tex]
Let the angle opposite to ∠35° be t .
[tex]∠t = 35° \: ( \: vertically \: opposite \: angles \: )[/tex]
Let the angle opposite to ∠145° be o .
[tex]∠o \: = 145° \: ( \: vertically \: opposite \: angles \: )[/tex]
The sum of 4x^3 +2x-3 and 3x^2-5x-5 is
Answer:
4x³ + 3x² - 3x - 8
Step-by-step explanation:
Step 1: Write expression
(4x³ + 2x - 3) + (3x² - 5x - 5)
Step 2: Combine like terms
4x³ + 3x² - 3x - 8
Answer:
4x^3+3x^2-3x-8
Step-by-step explanation:
Use parentheses and combine like terms.
Help ASAP I’m stuck
Answer:
5, 12, 6, 4, 6, 5
Step-by-step explanation:
The nearest square root to 28 is 25, which is 5.
The nearest square root to 135 is 121, which is 12.
The nearest square root to 38.7 is 36, which is 6.
The nearest cubic root to 51 is 64, which is 4.
The nearest cubic root to 200 is 216, which is 6.
The nearest cubic root to 95 is 125, which is 5.
Given: K is between H and J, HK = 2x − 5, KJ = 3x + 4, and HJ = 24. What is the value of x?
Answer: x = 5
Step-by-step explanation:
In a class of 30 students 60% said they walk to school.
A) estimate how many students in the class walk to school.
B) write a proportion that you could use to determine the number of students in the class who walk to school.
C) solve your proportion. Check that your answer is reasonable.
Answer:
a) 18
b) 18 : 12
c)3 : 4
Step-by-step explanation:
a) 30 × [tex]\frac {60}{100}[/tex]
= 18 students walk to school
b) No. of students No. of students
who walk to school : who walk to school
18 : 12
c)
18 : 12
=18/6 : 12/3
=3 : 4