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IRISSAK [1]
3 years ago
10

Ken drives a taxi cab and receives $100 a day plus $0.50 for every mile he drives. He is saving up for a new television that cos

ts about $2500. If Ken drives an average of 400 miles per day, how many days will he have to drive to save enough money to buy the television? In a inequality statment
Mathematics
1 answer:
OLga [1]3 years ago
8 0

Answer:

i got 8.33 so I would say about 9. Im not sure about inequality statements but I know that's about how many days since he makes 300 per day, and you divide that by 2500

Step-by-step explanation:

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What is 5 1/2 * 2 1/3?
storchak [24]

The solution of the given expression will be 12\dfrac{5}{6}

<h3>What is an expression?</h3>

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition,substraction, multiplication and division.

The given expression will be calculated as:-

= 5\dfrac{1}{2}\times 2\dfrac{1}{3}\\\\\\=\dfrac{11}{2}\times \dfrac{7}{3}\\\\\\=\dfrac{77}{6}\\\\\\=12\dfrac{5}{6}

Hence the solution of the given expression will be 12\dfrac{5}{6}

To know more about Expression follow

brainly.com/question/723406

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5 0
1 year ago
Please helppp with this math question &lt;333
Naya [18.7K]

Answer:

The average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

Step-by-step explanation:

We are given the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1

We need to find average rate of change.

The formula used to find average rate of change is : Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}

We have b=-1 and a=-11

Finding g(b) = g(-1)

g(x)=x^2+10x+18\\Putting \ x=-1\\g(-1)=(-1)^2+10(-1)+18\\g(-1)=1-10+18\\g(-1)=9

Finding g(a) = g(-11)

g(x)=x^2+10x+18\\Putting \ x=-11\\g(-11)=(-11)^2+10(-11)+18\\g(-1)=121-110+18\\g(-1)=29

Finding average rate of change

Average \ rate \ of \ change=\frac{g(b)-g(a)}{b-a}\\Average \ rate \ of \ change=\frac{9-29}{-1-(-11)}\\Average \ rate \ of \ change=\frac{-10}{-1+11}\\Average \ rate \ of \ change=\frac{-10}{10}\\Average \ rate \ of \ change=-1

So, the average rate of change of the function g(x)=x^2+10x+18 over the interval -11 \leq x\leq -1 is -1

5 0
2 years ago
Multiply. <br> 8 1/2 -2 2/3
MrRissso [65]

Answer: -\frac{68}{3} or -22\ 2/3

Step-by-step explanation:

To solve this problem you must:

- Convert the mixed numbers to fractions, as following:

8\ 1/2=\frac{((8*2)+1)}{2}=\frac{17}{2}

2\ 2/3=\frac{((3(2)+2)}{3}=\frac{8}{3}

- Multiply both fractions. Mutilply the numerators and the denominators:

(\frac{17}{2})(-\frac{8}{3})=-\frac{136}{6}

- Simplify. Therefore, you obtain that the answer is:

-\frac{68}{3} or -22\ 2/3

5 0
2 years ago
Read 2 more answers
Find the solution to the initial value problem
Karo-lina-s [1.5K]

Answer:

y = (11x + 13)e^(-4x-4)

Step-by-step explanation:

Given y'' + 8y' + 16 = 0

The auxiliary equation to the differential equation is:

m² + 8m + 16 = 0

Factorizing this, we have

(m + 4)² = 0

m = -4 twice

The complimentary solution is

y_c = (C1 + C2x)e^(-4x)

Using the initial conditions

y(-1) = 2

2 = (C1 -C2) e^4

C1 - C2 = 2e^(-4).................................(1)

y'(-1) = 3

y'_c = -4(C1 + C2x)e^(-4x) + C2e^(-4x)

3 = -4(C1 - C2)e^4 + C2e^4

-4C1 + 5C2 = 3e^(-4)..............................(2)

Solving (1) and (2) simultaneously, we have

From (1)

C1 = 2e^(-4) + C2

Using this in (2)

-4[2e^(-4) + C2] + 5C2 = 3e^(-4)

C2 = 11e^(-4)

C1 = 2e^(-4) + 11e^(-4)

= 13e^(-4)

The general solution is now

y = [13e^(-4) + 11xe^(-4)]e^(-4x)

= (11x + 13)e^(-4x-4)

3 0
3 years ago
The town librarian bought a combination of new-release movies on DVD for $20 and classic movies on DVD for $8. Let x represent t
Galina-37 [17]

Answer:

x = 1, y = 60

Step-by-step explanation:

Value of new-releases (x) = $20 each

Value of classic (y) = $8 each

Total budget = $500

Equation : 20x + 8y = 500

The librarian wants to purchase maximum DVDs. She can get more DVDs of classic movies for $8 as they are less costly.

Lets assume the librarian buys at least one new-release DVD.

x=1

20x + 8y = 500

8y + 20(1) = 500

y = 60

<em>Therefore, in a budget of $500, the librarian can purchase 60 classic movies and 1 new-release.</em>

!!

8 0
3 years ago
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