Answer:
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
Step-by-step explanation:
Price, p of weight of a toughurt serving :
p(w) - - - - - - p = 0.5w ; for 0 < w ≤ 8
p(w) - - - - - - p = 4 ; for w < 8 and w ≤ 12
The function that models the relationship is:
p(w) = 0.50w for 0 < w ≤ 8
p(w) = 4w for 8 < w ≤ 12
The self-serve frozen yoghurt store charges:
$0.50 per serving for a serving between 0 and 8 ounces
$4 per serving for any serving greater than 8 ounces and up to 12 ounces.
Let the weight of servings be represented by w
Let the price as a function of the weight be p(w)
For a charge of $0.50 per serving:
p(w) = 0.50w, where 0 < w ≤ 8
For a charge of $4 per serving:
p(w) = 4w, where 8 < w ≤ 12
Therefore, the function that models the relationship is:
p(w) = 0.50w for 0 < w ≤ 8
p(w) = 4w for 8 < w ≤ 12
Learn more on functions here: https://brainly.com/question/10439235
Simplify the expression. Make sure all final answers are clearly labeled. Show all work.
3 divided by 2+√5
Answer:2 1/3
Step-by-step explanation:2+5=7 3 divided by 7 equals 2 1/3
Which one of these math problems is correct?
A. 50x3=1043
B. 54x6=324
C. 25x4=100
D. None of the above
Answer:
B and C are correct
Step-by-step explanation:
Use a calculator next time.
During the American Revolution, women... i need help now please i will give 11 points
1.ran family businesses.
2.cared for the troops.
3.helped raise money for the war.
4.all of the above
Answer:
its 4 or d
Step-by-step explanation:
hope this helps!
please mark me brainliest! thanks!
find 2 numbers whose sum is 36 and diffrence is 10
Answer:
23 and 13
Step-by-step explanation:
can you help me with my latest answer too??i'm on a time limit rn
Answer:
13 and 23Step-by-step explanation:
let 2 number be x and y
x + y = 36 ---- equation ( 1 )
x - y = 10 -----equation ( 2 )
from ( 1 ) and ( 2 )
2y = 26
y = 13
putting value of Y in equation ( 1 )
x + y = 36
x + 13 = 36
x = 36 - 13
x = 23
MARK ME AS BRAINLISTWhat does |(-18)+(-2)/(7)+(-2) equal?
Answer:
-4
Step-by-step explanation:
(-18)+(-2)/(7)+(-2)
Add -18 and -2 to get -20.
-20/(7)+(-2)
Add 7 and -2 to get 5.
-20/5
-4
Hope this helps.
Chris had 30 dollars to spend on 3 gifts. He spent 9 7 10 dollars on gift A and 3 2 5 dollars on gift B. How much money did he have left for gift C?
Answer:
4 dolars left
Step-by-step explanation:
im smart
24. Which expression below is equivalent to x+x+x+x+y+y?
(1) 6x+6y
(3) x* + y2
(2) 4x+2y
(4) 6xy
Answer:
4x+2y
Step-by-step explanation:
At the fair concession stand, a drink costs $1.50, and a hot dog costs $2.75. If Jacob has $18 to spend on food, how many of each item can he buy?
3 drinks and 7 hot dogs
3 drinks and 5 hot dogs
2 drinks and 7 hot dogs
2 drinks and 5 hot dogs
Answer:
Answer is D (2 drinks and 5 hotdog's)
Step-by-step explanation: 1st answer is over as it is $19.25 for only the hotdogs. 2nd is $18.50 which is a little over. 3rd one is $22.25. And the forth one is $16.75 which is perfect because he cant buy anything else with the remainder of his money.
You can use trial and error for 3 drinks and 2 drinks and can see how many hot dogs are available for Jacob to buy in $18 budget.
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
How to decide what amount of drinks and hot dogs are obtainable in given $18 budget?This can be modeled by mathematical expression with use of variables, and inequality.
Suppose that you can by [tex]x[/tex] drinks and [tex]y[/tex] hot dogs, then their amount should not exceed $18 and they should try to use that $18 as much as they can.
Since 1 drink costs $1.5 and 1 hot dog costs $2.75, thus,
[tex]1.5x + 2.75y \leq18[/tex]
Using trial and error for 2 and 3 drinks (we could've done fro 5 or 7 hot dogs too)For 2 drinks:
Since x = amount of drinks = 2, thus from the obtained inequality, we have:
[tex]1.5x + 2.75y \leq 18\\1.5 \times 2 + 2.75y \leq 18\\2.75y \leq 18 - 3\\y \leq \dfrac{15}{2.75}\\\\y \leq 5.555...\\y = 5[/tex]
We took y = 5 since it is closest integer less than 5.55... since we cannot buy drink or hot dog in decimal points generally and cannot spend more than $18
Thus, if Jacob buys 2 drinks, then he can by 5 hot dogs at max.
For 3 drinks:
Since drinks' amount increased, then hot dogs amount will have to decrease to keep them together under $18. And since in 2 drinks Jacob could by 5 hot dogs, thus, now he will have to buy less than 5 hot dogs, which are not given in options.
Thus,
Jacob, with $18 dollars for food, under given conditions, can buy:
Option D: 2 drinks and 5 hot dogs.
Learn more about inequalities here:
https://brainly.com/question/11901702
$26,000 is invested at 8% p.a. If interest is compounded annually, find the balance after 35 years.
Answer:
At the end of 35 years, your savings will have grown to $384,418.
You will have earned in $358,418 in interest.
How long does it take an account with a principal of $400 to earn $48 in interest at a simple annual interest rate of 2%?
Answer:
it'll take 6 years
Step-by-step explanation:
I =put
48= 400(.02) t
48= 8t
t= 6 years
solve (x - 4)^2 = 5
Answer
If you are solving for X, take the root from both sides.
Exact Form:
x
=
√
5
+
4
,
−
√
5
+
4
Decimal Form:
x
=
6.23606797
…
,
1.76393202
…
Answer:
Step-by-step explanation:
[tex](x-4)^2=5\\ \\ x-4=\pm \sqrt{5}\\ \\ x=4\pm \sqrt{5}\\ \\ x=4-\sqrt{5},\ 4+\sqrt{5} [/tex]
Please help me 2x+y=2
Answer:
y=-2x+2
Step-by-step explanation:
Inverse of -2x+2 {x-2}{2}
−3(5x + 8) − 7(5x + 3)
Answer:
-50x-45
Step-by-step explanation:
-3(5x+8)-7(5x+3)
-15x-24-35x-21
-50x-45
A new health drink has 150% of the recommended daily allowance (RDA) for a certain vitamin. The
RDA for this vitamin is 20 mg. How many milligrams of the vitamin are in the drink?
There are mg of the vitamin in the drink.
How do you know (2, 1) is a solution to 4x+y=9?
Select all that apply.
1.[] The coordinate lies on the line
2.[] When substituting x=2 and y=1 into the equation, you get a true statement .
3.[] (2,1) is a positive and so is all the numbers in the equation
4.[] 9-4=5 and 2(2)+1=5
Answer:
2. When substituting x=2 and y=1 into the equation, you get a true statement.
Hope this helps you.
4x^2-4x+1 factoring special cases
Answer:
(2x−1)(2x−1)
Step-by-step explanation:
Factor 4x2−4x+1
4x2−4x+1
=(2x−1)(2x−1)
PLEASE HELP
A car is traveling at 80 mph for 5 hrs, how long will it take to travel the same distance at 20 mph?
Answer:
20 hours.
Step-by-step explanation.
The total distance traveled was 400 miles. Then I divided 400 by 20. I got 20.
How many unique triangles can be drawn with side lengths 12 cm and 16 cm, and a 50° included angle?
A. 0
B. 1
C. 2
D. an infinite number
Give the equation of the line below:
Answer:
slope = ⅔
y intercept = -2
so
[tex]f(x) = \frac{2}{3}x - 2[/tex]
What 2 numbers multiply to make -48 and combine to make 2?
____ and ___
4 and -12 are equal to -48
frecuencia del alcohol
2. Write the symbol that will make the statement true; -5__+3.
a. < b. > c. = d. /
Answer:
a
Step-by-step explanation:
On the number line, negative numbers are less than zero. positive numbers are larger than zero.
Your cat is 8 years younger than your friend. In 4 years, your friend will be twice as old as your cat. How old is your cat now?
years old
Answer:
your cat will be 12 your friend will be either 16 or 24
Step-by-step explanation:
Friend is 12 years old and cat is 4 years old.
What is equation?Equations are mathematical statements containing two algebraic expressions on both sides of an 'equal to (=)' sign. It shows the relationship of equality between the expression written on the left side with the expression written on the right side.
Given,
Cat is 8 years younger than your friend
Let age of friend be x
then, age of cat be x - 8
But In 4 years, your friend will be twice as old as your cat
x + 4 = 2(x - 8 + 4)
x + 4 = 2x - 16 + 8
x + 4 = 2x - 8
-2x + x = - 12
x = 12
Age of friend = 12 years
Age of cat = 12 - 8 = 4 years
Hence, 12 years is age of friend and 8 years is age of cat.
Learn more about equation here:
https://brainly.com/question/1529522
#SPJ5
Translate: Four less than twice a number is
twelve
HELPPPP PLEASE
1. (28 - 22 ) ÷ ( 17-5)
2. (11 x 2 - 42 ) +4
Answer:
1) 1/2 2) -16
Step-by-step explanation:
28-22=6
17-5=12
--------------
6/12=1/2
------------
2) (11*2-42)+4=(22-42)+4=-20+4=-16
Answer:
1. 0.5 or 1/2
2.-16
Step-by-step explanation:
write the equation of the line passing through the points (-4 -1) and (2 8)
Answer:
y=3/2x+5
Step-by-step explanation:
The eighth term of an arithmetic sequence is double the value of the third term. The fifth term is equal to 14. Determine the first term and the common difference of the sequence.
Answer: first term = 6
Common difference = 2
Step-by-step explanation:
Eight term =a +(n-1)d = a +(8-1)d = a + 7d
Third term = a+(n-1)d = a + (3-1)d =a + 2d
a + 7d = 2(a + 2d)
a + 7d = 2a + 4d
7d - 4d = 2a - a
a = 3d
The fifth term is equal to 14. This is:
a + 4d = 14
Put the value of a into the equation here
3d + 4d = 14
7d = 14
d = 14/7
d = 2
Recall that a + 4d = 14
a + 4(2) = 14
a + 8 = 14
a = 14 - 8
a = 6
Please Help me! ASAP
HELP I PROMISE I WILL GIVE BRAINLIEST!!!!!!!!
Answer: i think d sorry if im wrong.
Step-by-step explanation:
Math problem I need help with
Answer:
31° is the answer thank you