Complete the following problems.
Amy has $50 in her lunch account. Amy spends $3 a day for lunch. Amy's mother receives a notification when Amy's
account balance reaches $5 or lower. How many lunches can Amy purchase until her mother receives a notification? And what is the equation in slope intercept form
Answer:
Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.
Step-by-step explanation:
The balance Amy has in her lunch account is a function of the number of lunches she has consumed.
The initial balance is $50 and it decreases by $3 for every lunch Amy has. Thus, the function that models the balance in her lunch account is:
[tex]B(x)=50-3x[/tex]
Where x is the number of lunches.
Her mother receives a notification when the balance goes at $5 or lower, thus the condition that triggers the notification is:
[tex]B(x) \le 5[/tex]
Or, equivalently:
[tex]50-3x\le 5[/tex]
Subtracting 50:
[tex]-3x\le 5-50[/tex]
[tex]-3x\le -45[/tex]
Multiplying by -1 (and flipping the sign):
[tex]3x\ge 45[/tex]
Solving:
[tex]x\ge45/3[/tex]
[tex]x\ge 15[/tex]
Amy can purchase up to 14 lunches until her mother receives the notification. When she has the 15th lunch, the notification will be sent.
what is the slope and y-intercept of y=4x+2
Answer:
slope: 4
y-intercept: 2
Step-by-step explanation:
We are given an equation, y = 4x + 2, and we are asked to find the slope and y-intercept of the line. Looking carefully, we can see that the equation is given to us in slope-intercept form.
Slope-intercept form is:
y = mx + b
where m is the slope and b is the by-intercept.
Knowing this, we can find that 4 is the slope of the line and 2 is the y-intercept.
I hope you find my answer and explanation to be helpful. Happy studying.
What is 0.23 divided by 0.7?
0.328571428571
ly guys <3
What does the - 8 do in the function k(x)?
k(x) = x^2 - 8
Answer:
the negative 8 is the y-intercept of the equation. This means that this is y value of where 0 is on the x-axis. The point for the y-intercept is (0,8)
V I’mhjhvcbjvcvjhvvvggujvvcghhhvcccgggghh
Answer:
the like terms were not grouped together.
The diagram at the right shows a path through a garden.
The approximate length of the path, p, can be found with the formula
[tex]} p^{2}[/tex] =[tex]8^{2}[/tex] + [tex]10^{2}[/tex]
Which of the following measures is closest to the length
of the path?
A. 10 m
B. 12 m
C. 13 m
D. 18 m
Answer: B about 13 m
Step-by-step explanation:
Calculate 8² = 64 and 10² = 100 Add to get 16
Then get √164 = =12.80624847
Round up to 13.
1-2 Properties of Operations: I can use properties of numbers to rewrite expressions. Type the name of the property that each equation represents.
5) 12 + 8 = 8 + 12 The property is
6) 19 + (42 + 8) = (19 + 42) + 8 The property is
7) 24 + 0 = 24 and 36 x 1 = 36 The property is
help me pleaseee
this month, Carla caught the following fish in lake George: 24 trout, 41 sunfish, 12 perch, and 23 bluegills. If Carla catches another fish this month , what's the probability of her catching a trout
Answer:
I believe the answer is about 1/2!
Step-by-step explanation:
I don't have a step-by-step but when I took a test this question was on it and I got the question right by putting about 1/2!
The probability of her catching a trout is 6/25
What is probability ?Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one.
According to the question
based on given condition , formulate
24 ÷ (23 + 12 + 24 + 41)
Calculate sum or difference = 24/23 + 12 + 24 + 41
Calculate sum or difference = 24/59 + 41
Calculate sum or difference = 24/100
Reduce the fraction = 6/25
Hence, the probability of her catching a trout is 6/25
To learn more about probability from here
https://brainly.com/question/11234923
#SPJ2
Find the value of x.
55°
79°
110°
x°
Answer:
i think its 158
Step-by-step explanation:
i think what theyre doing here is a pattern because
79-55=24 and 110-79=31 which has no pattern but when u subtract 55 from 110 you get 110-55=55 so i just multiplied 79 by 2 getting the answer 158.
6. Claire buys DVDs online. Each DVD that she orders costs $15 and shipping for her order is $10.
Claire can spend no more than $100. How many DVDs can she buy?
Answer:
5 dvds
Step-by-step explanation:
15 per dvd
15x+10 and then it has to be less then 100
Write the first 4 terms of the sequence.
f(1) = 2 and f(n) = f(n - 1) + 2 for each whole number n greater than 1.
A 1,3,5, 7
B) 2,4,6,8
C) 1,2,3,4
D) 2,3,4,5
How do I write the First 4 terms so I can solve for the answer?
Answer:
Use the given functions to set up and simplify
7B.4=f(1)=2=Always(true)n=Always(true)1A⋅1=A3=A5=A7B=A
Step-by-step explanation:
Given h(x) = -4x – 5, solve for x when h(x) = 7.
Answer:
x=-3
Step-by-step explanation:
h(x)=7
-4x-5=7
-4x=12
x=-3
Answer: -3
Step-by-step explanation:
Plz help! Are they right? The questions are below!
Answer:
The sencond is wrong but the first is good
Step-by-step explanation:
Use the distributive property to write an equivalent expression.
2(n+8p)
Answer:
2n+16p
Step-by-step explanation:
For the given functions f and g, complete parts (a)-(h). F
f(x) = 5x + 8; g(x) = 7x-2
Answer:
9
Step-by-step explanation:
use math and add way after it
u welcome does work for u
Will give brainliest, like, comment, and 5 points the the best answer
The answers you can choose from are proportional or non-proportional.
Could you please answer this:
Answer:
Fractions with variablies are proportional anyway, and any number is proportional as long as it has the same ratio.
Step-by-step explanation:
which ordered pairs is a solution to the equation y=4x-17? (it’s more then one )
Answer:
(1,-13) (4,-1) (7,11)
Step-by-step explanation:
Those are all the correct order pairs!!
hope this helps!
What is -11 x -8?
I suck at math :(
i didnt see the - on the 11 and 8 my bad :(
Answer:
88?
Step-by-step explanation:
Jason takes 3 pages of notes during each hour of class. In all, how many hours will Jason have to spend in class before he will have a total of 36 pages of notes in his notebook?
Answer:
36 pages/12 hours
Step-by-step explanation:
3 pages per hour
36 pages per ? hours
36 / 3 = 12
36 pages per 12 hours
Hope this helps!
There were 3 boys for every 4 girls how many student i all went the trip
Answer:
7
Step-by-step explanation:
Answer:
it depend on how many students there were in total so you can know how many boys and girls
Step-by-step explanation:
I need help with something maybe if I can send a picture of it it will be easier
Answer:
sure send it and I will do my best to help you..
please help me with this it's worth 80 points
and please show all work
3x - 4 + 6x = -31
17 = 3x - 10
2x + 6 = 4x - 8
17x - 5(3x - 11) = 41
5x - (3x - 6) = 18
6x - 3(4 - 5x) = 30
x - (-5) = 7
This is a lot of questions-
I did them all on a calculator.
1.)
3x - 4 + 6x = -31
3x + 6x - 4 = -31
9x - 4 = -31
9x = -27
Answer: x= -3
2.)
17 = 3x - 10
3x -10 = 17
-10 = -10
3x = 27
divide both sides by 3
Answer: x= 9
3.)
2x + 6 = 4x - 8
-6 = -6
2x = 4x -14
-4x (both sides)
-2x = -14
divide both sides by -2
Answer: x = 7
4.)
17x - 5(3x - 11) = 41
2x +55 = 41
-55 (both sides)
2x = -14
divide 2 both sides
Answer: x = -7
5.)
5x - (3x - 6) = 18
2x + 6 = 18
-6 both sides
2x = 12
divide both sides by 2
Answer: x = 6
6.)
6x - 3(4 - 5x) = 30
21 - 12 = 30
+12 boh sides
21x = 42
divide both sides by 21
Answer: x = 2
7.)
x - (-5) = 7
x + 5 = 7
-5 both sides
Answer: x = 2
dont be shy answer my math equation.
Where would you locate √6 on a number line?
between 2.0 and 2.25
between 2.25 and 2.5
between 2.5 and 2.75
between 2.75 and 3.0
Answer:
i wanna say 2.25 and 2.5 but I'm not entirely sure
3/4(x+8) > 1/2(2x+10)
Andy drove 840 miles in 12 hours. How far could he drive in 1 hour?
Answer:
70
Step-by-step explanation:
Divide 840 by 12 and you get 70 miles.
Hey, he's speeding! I should give him a ticket.
Can I have brainlliest?
Hope it helped.
Find the variation constant and an equation of variation for the given situation.
y varies directly as x, and y = 7 when x = 1/2.
Answer:
[tex]\displaystyle y=14\cdot x[/tex]
Step-by-step explanation:
Directly Proportion
It's said that y varies directly proportional as x, if:
[tex]y=k\cdot x[/tex]
Where k is a constant of proportionality.
We know that y=7 when x=1/2.
Using the above condition, we can find the value of k:
[tex]\displaystyle 7=k\cdot \frac{1}{2}[/tex]
Solving for k:
k=14
Thus, the equation is:
[tex]\boxed{\displaystyle y=14\cdot x}[/tex]
please help!!!!!!!!!!!!
I Did This And I Somehow Came Out To B. So B I Guess Sorry if Im Wrong
LOOK AT THE IMAGE ABOVE & SOLVE IT BY SHOWING FULL STEPS! I will mark you brainlist if you show full steps
Answer:
Area of original shape: x1
Area of zoomed shaped: x4
Perimeter of original shape: x1
Perimeter of zoomed shaped: x2
Step-by-step explanation:
Since the image is zoomed in by 2, it means that all measurements are doubled. When calculating the area, the zoomed shape had an area 4 times greater than the original shape! With perimeter, instead of the same multiplier, the perimeter of the zoomed shape was only doubled of the original shape.
You start at (4, 4). You move right 1 unit and down 4 units. Where do you end?
Answer: (5,0)
Step-by-step explanation:
Answer:
You would end at (5,5)
On the the grid or your platform I believe
round 4.30132 to the nearest thousandth
Answer:
4.301
Step-by-step explanation: