Let n = number of gum packs he buys.
After he starts with 30, spends 12, then spends 4n, he must have at least 0 remaining. So:
[tex]30-12-4n\geq 0[/tex]
Simplify by subtracting 30-12:
[tex]18-4n\geq 0[/tex]
Subtract 18 from both sides:
[tex]-4n\geq -18[/tex]
Divide both sides by -4 (flip the sign when you multiply or divide by a negative):
[tex]n\leq 4.5[/tex]
You can only buy a whole number of gum packs, so:
[tex]n\leq 4[/tex]
Preston can buy up to 4 gum packs, assuming his money isn't stollen my monke
Adrian and his children went into a restaurant where they sell hotdogs for $3 each
and hamburgers for $8 each. Adrian has $80 to spend and must buy no less than 12
hotdogs and hamburgers altogether. If x represents the number of hotdogs
purchased and y represents the number of hamburgers purchased.
Plzzz helppp fast
Step-by-step explanation:
16x + 4y= 80
16 (3) + 4 (8) = 80
Factor out the greatest common factor for 18x2 + 42x – 12.
Answer:
Step-by-step explanation:
factor the coefficients into primes
18 = 3 * 3 * 2
42 = 3* 2 * 7
- 12 = - 2 * 2 * 3
The primes that are underlined are 2 * 3 which is 6
The primes not in the brackets are what is inside the brackets.
6(3x^2 + 7x - 2)
Write an exponential function in the form y=ab^xy=ab x that goes through points (0, 20)(0,20) and (2, 720)(2,720).
Answer:
The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].
Step-by-step explanation:
Let be an exponential function of the form [tex]y = a\cdot b^{x}[/tex] that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex]. Then, we have the following system of equations:
[tex]20 = a\cdot b^{0}[/tex] (1)
[tex]720 = a\cdot b^{2}[/tex] (2)
By dividing (2) by (1), we obtain the value for [tex]b[/tex]:
[tex]\frac{720}{20} = b^{2}[/tex]
[tex]b = \sqrt{\frac{720}{20} }[/tex]
[tex]b = 6[/tex]
And the value for [tex]a[/tex] is found by (1):
[tex]a = 20[/tex]
The exponential function that goes through [tex](x_{1},y_{1}) = (0,20)[/tex] and [tex](x_{2}, y_{2}) = (2,720)[/tex] is [tex]y = 20\cdot 6^{x}[/tex].
Nancy's Diner offers its clients a choice of regular and diet soda. Last night, the diner served 54 regular sodas and 6 diet sodas. What percentage of the sodas served were regular?
7/0
What is the definition of "median"?
the number that
appears the
most in a set of
data
the number in
the middle of a
set of data
the average of a
set of data
the difference
between the
greatest and
smallest value in
a set of data
Music off
Zone
Luca pays $165 per month for his car loan and an average of $2.30 per gallon of gas. He wants to keep his car expenses under $300 per month. Write and solve an inequality to find the greatest number of gallon "g", Luca can drive in a month while staying within his budget?
Answer:
58.69 gallons is the maximum she can get.
Step-by-step explanation:
165 + 2.3g ≤ 300
subtract 165 from both sides
2.3g ≤ 135
divide by 2.3 on both sides
g ≤ 58.6956521739
Can someone please help me with this one
ANSWER ASAP!!!
PLS HELP.
ANSWER BOTH QUESTIONS FOR ALL POINTS.
Answer:
128°
Step-by-step explanation:
x + 154° + 78° = 360° {being complete turn}
x + 232° = 360°
x = 360° - 232°
x = 128°
someone report this so it will get taken down
What is the solution to x-1=-2x+5
Answer:
x = 2
Step-by-step explanation:
Solve for x
x - 1 = -2x + 5
3x = 6
x = 2
Answer: 3
Step-by-step explanation:
1×-2=-2
-2+5=3
-2×1+5=3
I hope this helps, have a good day or night:)
PLZ HELP MEEEEE answer the chart first then the second question THANKYOU DEARLYY
Answer:
6 9 4 7
Step-by-step explanation:
i teach math
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 84 ft, find its area.
The area of the rectangle is 216 square feet
How to determine the area?Let x represents the length and y represents the width.
So, we have:
x = 6y
So, the perimeter is:
P = 2(x + y)
The perimeter is given as:
P = 84
So, we have:
2(x + y) = 84
Divide by 2
x + y = 42
Substitute x = 6y in x + y = 42
6y + y = 42
Evaluate the sum
7y = 42
Divide by 7
y = 6
Substitute y = 6 in x = 6y
x = 6 * 6
x = 36
The area is calculated as:
Area = xy
So, we have:
Area = 36 * 6
Evaluate
Area = 216
Hence, the area of the rectangle is 216 square feet
Read more about area at:
https://brainly.com/question/24487155
#SPJ1
help please?? thsnks
Step-by-step explanation:
step 1. the difference between x -> x' was 7
step 2. the difference between y -> y' was -2
step 3. the translation was 7 right and -2 down
step 4. the translation can be written (x + 7, y - 2)
step 5. the pre image was located in quadrant II.
Help please!! Asap!! i’ll give brainly!
Answer:
For 21: The first option (the uppermost) is correct for question 21. When it is no greater than, it implies that it can be equal to the number.
For 22: x+637 ≤ 2000, let x be the money he can spend for everything else.
Let me know if this helps!
Answer:
well when he buys the ticket he is left with 1,363 dollars
Step-by-step explanation:
solve the system of equations by graphing. y=4x+2 y=7/2x+1 plz help
Answer:
LOL i belive its 200 because i did this exact same thing yesterday for homework and got it right so yeah i guess it is?
Step-by-step explanation:
what’s the answer for this please? Thankssss!! Only if you know
Answer:
I Dont know the answer Sorryyyyyyyyyy
Amans age is three times his sons age.ten years ago he was five times his sons age .find their preseny age?
Click on the image and check the answer
Help I’ll give you brainliest
Answer:
your answer will be A
Step-by-step explanation:
have a nice day/ night
Find the value of each variable in the parallelogram.
Answer:
n = 12 , m = 5
Step-by-step explanation:
since it is said it is a parallelogram so opposite sides are equal
n = 12 (being opposite sides of parallelogram)
m + 1 = 6 (being opposite sides of parallelogram)
m = 6 - 1
m = 5
Hope it will help :)
Answer:the answer on the bottom is wrong you need to find the variable not x
Step-by-step explanation:
I got it wrong that’s why I said it
A group of 2 adults and 4 children spent $38 on tickets to a museum. A group of 3 adults and 3 children spent $40.50 on tickets to the museum. Based on this information, how much is an adult ticket, and how much is a child ticket?
2a + 4c = 38.00
3a + 3c = 40.50
What values of a and c represent the solution to the system?
a =
c =
Answer:
a=8
c=5.5
Step-by-step explanation:
solve simultaneously:
2a + 4c = 38.00
3a + 3c = 40.50
times the first eq. by 3 and the second by 2
6a + 12c = 114
6a +6c = 81
subtract from one another
6a + 12c = 114
-6a +6c = 81
6c = 33
c=5.5
3a + 3x5.5 = 40.50
3a= 24
a=8
Work out the perimeter of a semicircle with radius 3 cm.
Give your answer in terms of tt.
3 cm
Answer:
3π+ 6 = 15.42477796
Step-by-step explanation:
diameter = 6
πd = circumference
6x π = 6π
3π = semi circle
3π+ 6 = 15.42477796
What is the acceleration of a BMW i8 Roadster that goes from 0 to 60 mph in 3.8 seconds? a) in mi/h/s and b) in m/s^2
Answer:
I need help with my math problem
Step-by-step explanation:
https://brainly.co m/question/21437269
no space
BRAINLIEST
Plot the following co-ordinates and find the fourth point D to make a square A (-1,3) B (1,-1) C(5,1).
Once you have found the missing coordinate use pythagoras to calculate the length of the sides.
Answer:
Step-by-step explanation:
Example: Solve this triangle
right angled triangle 5 12 c
Start with: a2 + b2 = c2
Put in what we know: 52 + 122 = c2
Calculate squares: 25 + 144 = c2
25+144=169: 169 = c2
Swap sides: c2 = 169
Square root of both sides: c = √169
Calculate: c = 13
What kind of a fraction is 6 1/3?
Answer:
6 1/3 Is a mixed fraction
determine the initial value
Hey there I am just telling you , it seems that your questions is incomplete . Can you kindly post the whole question then I am able to solve it.
please don't mind.
Wally's Used Cars has 45 cars on the lot. Of the 45, 20% of the cars are red. How many red cars are on the lot?
-9
-20
-25
-36
Answer:
9
Step-by-step explanation:
20% is equivalent to the decimal .2
Then multiply .2 x 45
45(.2) = 9
Joe is buying gift cards that are on sale for 15% off. He uses c – 0.15c to determine the sale price of gift cards. What is an equivalent expression that Joe could also use to determine the sale price of a gift card?
Answer:
0.85c
Step-by-step explanation:
Given :
Discount on sale = 15%
Price of gift card at discounted price = c - 0.15c
Equivalent expression could be :
(100% - 15%) * price
Price = c
(1 - 0.15)c
0.85c
Tasha lists all the multiple of 3 from 3 to99. Tony lists all the multiples of 5 from 5 to100. What is the first number that is on both lists? The second.
Answer:
Multiples of 3 = 3, 9Multiples of 5 = 5, 10Step-by-step explanation:
In a list of 3 to 99, the first multiple of 3 will be none other than 3 itself because when multiplied by 1, you get three.
The second number will be: 3 * 2 = 6
In a list from 5 to 100, the first multiple will be 5 with 5 being a multiple of itself when multiplied by 1.
Second number = 5 * 2 = 10
PLZ HELP!!DO ONLY ONE PART IF YOU WANT TO BUT DO BOTH IF YOU CAN(show work btw)
Answer:
Step-by-step explanation:
Look at picture
At Stacy's Hats, 41 out of the 82 hats at the store are baseball caps. What percentage of hats at the store are baseball caps
Answer:
50 percent
Step-by-step explanation:
Which equation has the greatest rate of change?
A.
y=2x+5
B.
y=x+6
C.
y= -5x+2
D.
y=2/3x+4