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Afina-wow [57]
2 years ago
15

A car drives 16 1/2 miles on a gallon of gas. how many miles can it travel on 9 gallons?

Mathematics
1 answer:
Nana76 [90]2 years ago
5 0

Answer:

148.5 miles

Step-by-step explanation:

its 148.5 miles because you times the 16 1/2 to the 9 and get 148.5 miles

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What is the area of a triangle with vertices (1,0) (5,0) (3,4)
Aleksandr-060686 [28]

Answer:

The area of the triangle is of 8 units of area.

Step-by-step explanation:

Answer:

The area of the triangle is of 21 units of area.

Step-by-step explanation:

The area of a triangle with three vertices (x_1,y_1),(x_2,y_2),(x_3,y_3) is given by the determinant of the following matrix:

A = \pm 0.5 \left|\begin{array}{ccc}x_1&y_1&1\\x_2&y_2&1\\1_3&y_3&1\end{array}\right|

In this question:

Vertices (1,0) (5,0) (3,4). So

A = \pm 0.5 \left|\begin{array}{ccc}1&0&1\\5&0&1\\3&4&1\end{array}\right|

A = \pm 0.5(1*0*1+0*1*3+1*5*4-1*0*3-0*5*1-1*1*4)

A = \pm 0.5*(20-4)

A = \pm 0.5*16 = 8

The area of the triangle is of 8 units of area.

3 0
3 years ago
Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours
uysha [10]

Answer:

\$(990-t)

Step-by-step explanation:

The correct question is

Susan works as a tutor for $10 and hour, and as a waitress for $11 an hour. This month, she worked a combined total of 90 hours at her two jobs. Let t be the number of hours Susan worked as a tutor this month. Write an expression for the combined total dollar amount she earned this month

Let

t -----> the number of hours that Susan work as a tutor

y ----> the number of hours that Susan work as a waitress

z ---> the combined total dollar amount she earned this month

we know that

t+y=90

y=90-t-----> equation A

we know that

The combined total dollar amount she earned this month is equal to the number of hours that Susan work as a tutor multiplied by $10 plus the number of hours that Susan work as a waitress multiplied by $11

z=10t+11y ----> equation B

substitute equation A in equation B

z=10t+11(90-t)

z=10t+990-11t

z=990-t

therefore

The expression for the combined total dollar amount is $(990-t)

3 0
3 years ago
A bicycle wheel has a small pebble embedded in its tread. The bike is set upside down, and the rider accidentally bumps the whee
nikdorinn [45]

Answer:

a) The radius of the wheel is 1) more than 25.0 cm.

b) The radius of the wheel is approximately 40.925556... cm

Step-by-step explanation:

S = rθ is the formula to find the radius of the wheel using the arc and the angle discovered, S being the arc and θ the angle. The angle, however, must be in radians. θ = \frac{35\pi}{180} is used to convert it. So:

θ = \frac{35\pi}{180}

θ = \frac{7\pi}{36}

S = rθ

25 = r \frac{7\pi}{36}

900 = 7\pir

r = \frac{900}{7\pi }

r = 40.925556... cm

5 0
2 years ago
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