2 years ago

Select the best estimate for the quotient.75.1÷9=

Mathematics

1 answer:

Citrus2011 [14]2 years ago

7 0

Answer:

8.3 44444 is the answer

Step-by-step explanation:

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A costumer at a raceway can drive 54 laps around the track for 12$. At this rate, how many laps can the customer rive for 8$?

raketka [301]

Answer:

36 laps can the customer rive for $8 .

Step-by-step explanation:

As given

A costumer at a raceway can drive 54 laps around the track for $12.

I.e

54 laps cost = $12

Now calculate laps for $1.

$\$1 = \frac{54}{12}\ laps$

$\$1 = 4.5\ laps$

The number of laps customer rive $8 = 4.5 × 8

= 36 laps

Therefore 36 laps can the customer rive for $8 .

3 0

3 years ago

Read 2 more answers

The area of triangle formed by points of intersection of parabola y=a(x+5)(x−1) with the coordinate axes is 12. Find a if it is

garri49 [273]

ANSWER

$a = \frac{4}{5}$

EXPLANATION

The given parabola has equation,

$y = a(x + 5)(x - 1)$

The y-intercept is

$y = a(0+ 5)(0- 1)$

$y = - 5a$

This gives one vertex of the triangle to be,

$(0,-5a)$

The x-intercept is

$a(x + 5)(x - 1) = 0$

This implies

$(x + 5)(x - 1) = 0$

$(x + 5) = 0 \: or \: (x - 1) = 0$

$x = - 5 \: or \: x = 1$

The other two vertices of the triangle is,

$(-5,0),(1,0)$

The height of this triangle is

$h = 5a$

$Area= \frac{1}{2} \times base \times height$

$12= \frac{1}{2} \times 6 \times 5a$

$12 = 15a$

$a = \frac{12}{15}$

$a = \frac{4}{5}$

Since

$a > \: 0$
it means the parabola opens upwards.