The equation in the form y = mx + b is y = 0.35x + 36.
How to represent a linear equation?The equation formed from the expression is a linear equation and should be expressed in the slope intercept form.
y = mx + b
where
m = slopeb = y-interceptTherefore,
y = mx + b
where
x = the number of monthly minutes usedy = the total monthly of the Next fell planusing the coordinates, let's find m
(470, 200.5)(590, 242.5)
Hence,
m = 242.5 - 200.5 / 590 - 470
m = 42 / 120
m = 0.35
Therefore,
y = 0.35x + b
200.5 = 0.35(470) + b
200.5 - 164.5 = b
b = 36
Finally, the equation in the form y = mx + b is y = 0.35x + 36.
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18. Nine cartons of juice cost the same as 5 fruit cups. Also, one fruit cup costs 50¢ more than one bowl of soup, while one bowl of soup costs 50¢ more than one carton of juice. What would be the cost of each item: a carton of juice, a fruit cup, and a bowl of soup?
Answer: bowl of soup=$1.75
carton of juice=$1.25
fruit cup=$2.25
Step-by-step explanation:
j=carton of juice. f=fruit cup. s=bowl of soup.
9j=5f
f=s+0.5 ==> 0.5 dollars is 50 cents
s=j+0.5
j=s-0.5
9(s-0.5)=5(s+0.5)
9s-4.5=5s+2.5
4s-4.5=2.5
4s=7
s=7/4
s=$1.75
s=j+0.5
1.75=j+0.5
j=$1.25
f=1.75+0.5
f=$2.25
2. A car travels 385 miles in 2 hours (with a constant speed). How far can it travel in 5 hours (with the
same speed)?
Answer:
77 Miles Per Hour
Step-by-step explanation:
Its that
Answer:
962.5 miles
Step-by-step explanation:
385 / 2 = 192.5
this is the amount per hour
192.5 times 5 = 962.5
single fraction in its simplest form
Answer: [tex]\frac{5}{(x+1)(x+5)}[/tex]
Step-by-step explanation:
[tex]\frac{5}{x+5} - \frac{5x}{x^2+6x+5}[/tex]=
[tex]\frac{5}{x+5} - \frac{5x}{(x+1)(x+5)}[/tex]=
[tex]\frac{5(x+1)}{(x+1)(x+5)} - \frac{5x}{(x+1)(x+5)}[/tex]=
[tex]\frac{5(x+1)-5x}{(x+1)(x+5)}[/tex]=
[tex]\frac{5x+5-5x}{(x+1)(x+5)}[/tex]=[tex]\frac{5}{(x+1)(x+5)}[/tex]
Points..................
The class can contain at most 28 students.
Answer:
s < 28
Step-by-step explanation:
Slope = 3/2, y-intercept = 0
what's the question?
the answer is y=3/2+0
Step-by-step explanation:
the equation for the answer is y=mx+b m repusents slope and the y-intercept repusents b i hope this helps you out.
Describe the domain and range.
1. r(x) = | |x|
Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }
Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }
The domain of a function is defined as the set of values that we are allowed to enter into the function. This set is a bunch of x values in a function such as r(x).
The domain of the given function r(x) is all real numbers except where this expression, r(x) = |x| is undefined. In this question, there is no real number that makes this expression undefined.
The interval is denoted as ( −∞ , ∞ ).
The set builder is denoted as { x | x ∈ R }.
The range of a function is defined as the set of values that the function can assume. This set is a bunch of the values that the function shoots out after we enter a x value in. The range is a set of all valid y values. We have to use the graph to find the range.
The interval is denoted as [ 0 , ∞ )
The set builder is denoted as { y | y ≥ 0 }
Therefore, we get the domain and range as,
Domain of r(x) = |x| is ( −∞, ∞ ) , { x | x ∈ R }
Range of r(x) = |x| is [ 0 , ∞ ) , { y | y ≥ 0 }
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Ella measured the height of a in inches every week for four weeks after planting it what is the best prediction for the height of the plant after 12 weeks
Complete question is;
Elle Measured the height of a plant, in inches,Every week for four weeks after planting it.
The height of the plant, h, in inches, Can be modeled by the function h(t) = 1.5t + 3, where t represents the time in weeks.
Based on this model, what is the best prediction for the height of the plant after 12 weeks?
A 16.5 inches
B 21 inches
C 22.5 inches
D 27.3 inches
Answer:
Option B: 21 inches
Step-by-step explanation:
We are given the function h(t) = 1.5t + 3, where t represents the time in weeks.
At t = 0;
h(0): 1.5(0) + 3 = 3inches
At t = 1;
h(1): 1.5(1) + 3 = 4.5 inches
Thus, after 12 weeks, height will be;
h(12): 1.5(12) + 3 = 21 inches
Option B is correct
The midpoint of
¯¯¯¯¯¯
C
D
is
E
(
−
1
,
0
)
. One endpoint is
C
(
5
,
2
)
. What are the coordinates of the other endpoint?
The co-ordinates of D is if the midpoint E is at (-1,0 )which is calculated using the section formula.
In coordinate geometry, the Section formula is used to determine the internal or external ratio at which a line segment is divided by a point. It is used to determine a triangle's centroid, incenter, and excentre.
The midpoint of a line segment is known as the midpoint in geometry. It is the centroid of the segment and of the ends, and it is equally distant from both of them. It cuts the section in half.
The section formula is given by:
[tex]{\displaystyle P=\left({\frac {mx_{2}+nx_{1}}{m+n}},{\frac {my_{2}+ny_{1}}{m+n}}\right)}[/tex]
where (x₁ ,y₁) and (x₂ ,y₂) are the two endpoints of the line -segment.
The midpoint is calculated by:
[tex]{\displaystyle Q=\left({\dfrac {x_{1}+x_{2}}{2}},{\dfrac {y_{1}+y_{2}}{2}}\right)}[/tex]
where (x₁ ,y₁) and (x₂ ,y₂) are the two endpoints of the line -segment.
Now the given co-ordinates of the points are C(5, 2) and the midpoint is E(-1 , 0). Now to find the co-ordinates of D we have to use the midpoint formula.
Let the co-ordinate's of D be (a , b) then by using the above midpoint formula we get:
-1 = (5+a) ÷ 2
or, a = -2 -5
or, a = -7
again
0 = (2+b) ÷ 2
or, b = -2
Hence the co-ordinates of D is (-7 , -2)
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The value of x for which 3 (x-2) = 2 (x+1)
Answer:
x = 8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define equation
3(x - 2) = 2(x + 1)
Step 2: Solve for x
Distribute: 3x - 6 = 2x + 2Subtract 2x on both sides: x - 6 = 2Add 6 to both sides: x = 8Step 3: Check
Plug in x into the original equation to verify it's a solution.
Substitute in x: 3(8 - 2) = 2(8 + 1)Subtract/Add: 3(6) = 2(9)Multiply: 18 = 18Here we see that 18 does indeed equal 18.
∴ x = 8 is a solution to the equation.
Fredo pays 79.65 for twenty-seven 17 count boxes of granola bars. How much does 1 box of granola bars cost?
Mai runs 3 laps around the track in 4 minutes
How many minutes per lap is that?
Please answer this correctly without making mistakes
Answer:
2nd one is corect
60% is 93.49$ but u are getting 100$ discount so 2nd is ans
Don’t judge
Heeeweeeeeeeeeeelllllllllllp
is 67 prime or composite and explain
Answer:
67 is Prime.
Step-by-step explanation:
It is a prime number because it only had 2 factors. 1 and 67. No other numbers can be multiplied to get this number.
A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards. Which side lengths could be used to create a scale drawing of the field?
The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
The area of a rectangle is the product of its length and its width. A lacrosse field is rectangular with a length of 110 yards and a width of 60 yards, hence:
Area = length * width = 110 * 60 = 6600 yard²
Scale ratio can be 1:55
The area of the Lacrosse field with a length of 110 yards and a width of 60 yards is 6600 yard²
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Find the circumference of the circle use 3.14 for
Pi Round to the nearest hundred put the answer in cm
Need ASAP if u don’t know the answer don’t answer
Answer:
47.1 cm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:
C = 2πr
C = 2 * 3.14 * 7.5 = 47.1
To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.
Thus, the circumference is 47.1 cm.
help pleaseeeeee
Let f(x) = x + 6x and g(x) = 5-x
Find (fg)(4).
Answer:7
Step-by-step explanation:
1st,
g(x) = 5-x
g(4) = 5-4 = 1
then
f(x) = x^2+6x
(fg)(4) = f(g(4)) = 1^2+6(1) = 1+6 = 7
you can ask questions for clarification
The store is selling lemons at $0.66 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough lemons to make three 9-inch lemon pies,each requiring half a cup of lemon juice
Answer:
It will cost $7.92
Step-by-step explanation:
We will need to find out how many table spoons of lemon we will need first.
We need to make 3 pies requiring half a cup of lemon juice.
3 * 1/2 = 1.5 cups
We convert the cups to tablespoons
1.5 * 16 = 24 tablespoons
Then, since each lemon yields two tablespoons, we divide the tablespoons required by two. This is to find the number of lemons we need.
24/2 = 12
We multiply lemons by the price the store is selling them.
12 * $0.66 = $7.92
This is the price to buy enough lemons to make the 9-inch lemon pies.
Find a value for x that will make each of the following equations true. 2. x+8=21 b. 8-32=55 c. 3x=54 d. x/5=10
Answer:
Step-by-step explanation:
that’s hard
7.) After 4 new students joined a class, the class had 32 students. Which equation can be used to find n, the number of students in the class before the 4 new students joined? n A 32 का B 0-4 = 32 C 4n = 32 Dn+4 = 32
help pls
Answer:
Uh I’m not sure about those answers sorry
Step-by-step explanation:
Name another name for slope.
I’ll mark you brainlyist
Answer:
dip, tilt, slant, incline, descend
What percent of 19 is 4.75?
Answer:
25%
Step-by-step explanation:
1. 4.75/19 = .25
2. .25 = 25%
help please it’s due soon the options are
4/3
3/4
-3/4
-4/3
Answer:
4/3
Step-by-step explanation:
I used a slope calculator to solve
On a spelling test, Lucy spelled 4
out of 5 words correctly. If Lucy
spelled 20 words correctly, how
many words did she misspell?
Answer:
5 words
Step-by-step explanation:
what is the value of x?
x + 4/9 = 3/4
a. 11/36
b. 1/3
c. 1 11/16
d. 1 7/16
Answer:
option a is correct
Step-by-step explanation:
please mark me brainliest and 5 star
Answer:
The answere is a 11/36
Step-by-step explanation:
Hope this help :)
Huey is reading a book that is 697 pages long. He tells a friend that he is about 3/4 of the way done. About how many more pages must Huey read before he finishes the book?
is it
A.160
B.175
C.250
D.150
Answer:
B. 175
Step-by-step explanation:
There are 2 ways that we can find the answer to this question:
1. Take 1/4 of 697
2. Take 3/4 of 697 and minus the product from 697.
Let's do it both ways:
If we are doing it the first way it would look like this:
(1/4)(697) = 175
Note that we get 1/4 because Huey already read 3/4 of the book so he has 1/4 left.
The second way would look like this:
(3/4)(697) = 523
679 - 523 = 174 (roughly 175)
Therefore, the answer to your question would be B. 175.
I hope this helps!!
- Kay :)
WILL MARK BRAINLIEST Answer question and give the answer as an improper fraction in the most simple form. Thank you!
Step-by-step explanation:
3 13
- ------ + ------ <-------- Fraction bar
8 6
1. Get both fractions to have the same denominator which is 24 because it is the Least Common Multiple (LCM) - 1st fraction multiply by 3 on numerator and denominator, 2nd fraction multiply by 4 on numerator and denominator.
9 52
- ------ + ----- <-------- Fraction bar
24 24
2. Subtract the two fractions - there is a negative number and positive number, so we need to subtract even though it is addition because they are different signs. The answer is positive because it is the bigger number.
43
= ------ <-------- Fraction bar
24
3. The answer is already simplified because there are no common factors for 43 and 24. So the final answer is ...
43
------ <-------- Fraction bar
24
Hope this helps :)
Jared wants to buy a young pig to raise for the country fair. The pig costs $75, and there is a $1.50 processing fee to pay with a check.
what is the total cost of buying the pig with a check?
Step-by-step explanation:
So the pig costs 75 and the fee is 1.50
what we need to do is add the decimal and whole number to get an answer
we know that $75 is written like this in decimal form 75.00 now let's add
+ 75.00
1.50
---------
76 .50
THE ANSWER IS $76.50
this is what the problem says
Assuming all parabolas are of the form y=ax^2+bx+c, drag and drop the graphs to match the appropriate a-value
9514 1404 393
Answer:
graphs left to right have a=1, a=0.25, a=-1
Step-by-step explanation:
A negative value of 'a' makes the parabola open downward, so the rightmost graph goes with a=-1.
A value of 'a' less than 1 flattens the graph, so the middle graph goes with a=0.25.
A value of 1 gives a standard open-upward parabola, corresponding to the leftmost graph.
Answer: it’s already in the correct order.
Step-by-step explanation: