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tatiyna
2 years ago
11

Beth and her sisters are going to the state fair. Each ride costs $7, and each exhibit costs $4. The table shows the number of r

ides and exhibits each of her sisters rode and viewed. Rides, r 7 2 5 Exhibits, e 3 5 6 Beth and her sisters each have $65 to spend at the fair. Write an inequality that describes the number of rides and exhibits they each can ride and view.
Mathematics
1 answer:
Maru [420]2 years ago
8 0

Answer:

7x + 3y </=8

Step-by-step explanation:

Let x represent the number of rides Beth rides and y represent the number of exhibits she views

Each ride costs $7 to ride and each exhibit costs $3 to view

This means that x rides will cost x × 7 = $7x

Also, if she views y exhibits, the cost will be y × 3 = $3y.

Total cost of x rides and y views will be 7x + 3y

if she has at most $98 to spend at the fair, it means that all she can spend must be lesser than or equal to $98

The required expression will be

7x + 3y </=8

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Answer:

\alpha = 108\degree, \: \beta = 72\degree

Step-by-step explanation:

α and β are Supplementary (given)

\therefore \alpha + \beta = 180\degree.... (1)

It is given that:

\alpha= \frac{3}{2} \beta

Plugging the value of α in equation (1), we find:

\frac{3}{2} \beta + \beta = 180\degree

\therefore  \frac{3+2}{2} \beta = 180\degree

\therefore  \frac{5}{2} \beta = 180\degree

\therefore   \beta = 180\degree\times \frac{2}{5}

\therefore   \beta = 72\degree

\implies   \alpha= \frac{3}{2} \times 72\degree= 108\degree

So,

\alpha = 108\degree, \: \beta = 72\degree

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2 years ago
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2 years ago
If the principal is 3500 the rate is 3% and the time is 3 years want is the answer
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Step-by-step explanation:

Hey there!!

It 's so simple.

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