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lana66690 [7]
3 years ago
7

Last week, Kip went to the fair. It costs $4.95 to enter the fair and $0.50 per ticket. In the equation below, x represents the

number of tickets Kip bought, and y represents the total amount Kip spent.
y = $0.50x + $4.95

If Kip spent $12.45 at the fair, how many tickets did he buy?

Group of answer choices

8

15

25

35
Mathematics
2 answers:
aleksandr82 [10.1K]3 years ago
6 0

Answer:

x = 15

Step-by-step explanation:

12.45=4.95+0.5\timesx×x

<u><em>Solve the equation</em></u>

<u><em /></u>12.45=4.95+0.5x

<u><em>Rearrange variables to the left side of the equation</em></u>

<u><em /></u>-0.5x=4.95-12.45

<u><em>Calculate the sum or difference</em></u>

<u><em /></u>-0.5x=-7.5

<u><em>Divide both sides of the equation by the coefficient of variable</em></u>

<u><em /></u>x=\frac{-7.5}{-0.5}

<u><em>Determine the sign for multiplication or division</em></u>

<u><em /></u>x=\frac{7.5}{0.5}

<u><em>Multiply both the numerator and denominator with the same integer</em></u>

<u><em /></u>x=\frac{75}{5}

<u><em>Cross out the common factor</em></u>

<u><em /></u>x=15

<em>I hope this helps you</em>

<em>:)</em>

SCORPION-xisa [38]3 years ago
5 0

Answer:

for me its 8

Step-by-step explanation:

im not that sure

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2 3/5 x 1 2/5=<br><br> Pls do explain it. Thanks in advance
otez555 [7]

Answer:

2×3\5×2\5=60

Step-by-step explanation:

first of all do multiply then cut both 5 and at last divide the Answer comes 60

4 0
3 years ago
noah entered a bike race.He used his red bike because he read that red vehicles get speedjng tickets most often. He rode 32 mile
gavmur [86]
How many minutes did it take him to cover 1 mile? 5 minutes.
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3 years ago
A pound of guinea pig pellets is about 3 cups of food.Each guinea pig eats 1/4 cup is pellets a day. How many days will the pell
kompoz [17]

Answer:

The pellet will last after 12 days

Step-by-step explanation:

* Lets change the story problem to equations to solve it

- There is a pound of guinea pig pellets

- One pound of pellets is about three cups of food

- Each guinea pig eats 1/4 cup of pellets a day

* Lets use these information to solve the problem

∵ One pound of guinea = 3 cups of food

∵ The guinea pig eats 1/4 cup a day

- The pig can finish one cup in four days

∵ The number of days = number of cups ÷ the eaten in a day

∵ The number of cup = 3 cups

∵ The eaten pellets in a day = 1/4

∴ The number of days = 3 ÷ 1/4 = 3 × 4/1 = 12 days

* The pellet will last after 12 days

4 0
3 years ago
Pls help me, i'm giving 30 points and brainliest.
podryga [215]

Answer:

This is a 10 percent increase

Step-by-step explanation:

Last week he spent 10 hours

This week 11 hours

percent increase = (new - original )/original * 100 percent

                             = (11-10)/10 * 100 percent

                             = 1/10 * 100 percent

                             = 10%

This is a 10 percent increase

8 0
3 years ago
Determine whether the equation is exact. If it​ is, then solve it. e Superscript t Baseline (7 y minus 3 t )dt plus (2 plus 7 e
umka21 [38]

Answer:

F(t,y)=(2+7e^t)y+3(1-t)e^t +C

Step-by-step explanation:

You have the following differential equation:

e^t(7y-3t)dt+(2+7e^t)dy=0

This equation can be written as:

Mdt+Ndy=0

where

M=e^t(7y-3t)\\\\N=(2+7e^t)

If the differential equation is exact, it is necessary the following:

\frac{\partial M}{\partial y}=\frac{\partial N}{\partial t}

Then, you evaluate the partial derivatives:

\frac{\partial M}{\partial y}=\frac{\partial}{\partial t}e^t(7y-3t)\\\\\frac{\partial M}{\partial t}=7e^t\\\\\frac{\partial N}{\partial t}=\frac{\partial}{\partial t}(2+7e^t)\\\\\frac{\partial N}{\partial t}=7e^t\\\\\frac{\partial M}{\partial t} = \frac{\partial N}{\partial t}

The partial derivatives are equal, then, the differential equation is exact.

In order to obtain the solution of the equation you first integrate M or N:

F(t,y)=\int N \partial y = (2 +7e^t)y+g(t)        (1)

Next, you derive the last equation respect to t:

\frac{\partial F(t,y)}{\partial t}=7ye^t+g'(t)

however, the last derivative must be equal to M. From there you can calculate g(t):

\frac{\partial F(t,y)}{\partial t}=M=(7y-3t)e^t=7ye^t+g'(t)\\\\g'(t)=-3te^t\\\\g(t)=-3\int te^tdt=-3[te^t-\int e^tdt]=-3[te^t-e^t]

Hence, by replacing g(t) in the expression (1) for F(t,y) you obtain:

F(t,y)=(2+7e^t)y+3(1-t)e^t +C

where C is the constant of integration

8 0
4 years ago
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