Ask question

Ask question

All categories

3 years ago

8

Jamal hiked on two trails.The first trail was 5 1/3 miles long,and the second trail was 1 3/4 times as long as the first trail.H

ow many miles did Jamal hike?

1 answer:

olya-2409 [2.1K]3 years ago

4 0

The answer Is 9 1/3.

You might be interested in

Which set of parametric equations over the interval 0 ≤ t ≤ 1 defines a line segment with initial point (–5, 3) and terminal poi

Ksivusya [100]

Given:

A line segment with initial point (–5, 3) and terminal point (1, –6).

To find:

The set of parametric equations over the interval 0 ≤ t ≤ 1 which defines the given line segment.

Solution:

Initial point is (–5, 3). So,

$x(0)=-5,y(0)=3$

Terminal point is (1, –6).

$x(1)=1,y(1)=-6$

Check which of the given set of parametric equations satisfy $x(0)=-5,y(0)=3,x(1)=1,y(1)=-6$ .

Put t=1 in each set of parametric equations.

In option A,

$y(1)=3-6(1)=3-6=-3\neq -6$

So, option A is incorrect.

In option B,

$y(1)=1-6(1)=1-6=-5\neq -6$

So, option B is incorrect.

In option C,

$y(1)=3-9(1)=3-9=-6$

$x(1)=-5+6(1)=-5+6=1$

Put t=0, in this set of parametric equations.

$x(0)=-5+6(0)=-5$

$y(0)=3-9(0)=3$

So, option C is correct.

In option D,

$y(1)=1-7(1)=1-7=-3\neq -6$

$x(1)=-5+8(1)=-5+8=3\neq 1$

So, option D is incorrect.

8 0

3 years ago

PPPPPPPPLLLLLLLLLLEEEEEEEEASSSEEEEE help

balandron [24]

The answer is C bc it’s multiplication

6 0

2 years ago

Read 2 more answers

Christine worked from 8:15 AM to 11:50 AM, went to lunch, then worked from 12:45 PM to 5:15 PM on Monday through Friday of this

velikii [3]

The equation illustrated shows that the gross pay will be $97.

<h3>How to compute the value?</h3>

It should be noted that she earns an hourly rate of $17.15 and receives time and a half for overtime. The number of hours will be 3 hours 35 minutes at first. This will be:

= (17.15 × 3.58)

= 61.5

The amount for overtime will be:

= (1/2 × 17.15) × 4.5

= 35.59

The Total amount will be:

= 61.5 + 35.59

= $97

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0

2 years ago

Let line $l_1$ be the graph of $5x + 8y = -9$. Line $l_2$ is perpendicular to line $l_1$ and passes through the point $(10,10)$.

SashulF [63]

Answer:

m + c = - 4.4

Step-by-step explanation:

Line 1 is given by the equation 5x + 8y = -9, ⇒ $y = - \frac{5}{8} x - \frac{9}{5}$ ........(1) {In slope-intercept form}

If line 2 is perpendicular to the line 1 then the equation of line 2 will be

$y = \frac{8}{5} x + c$ ........ (2), where c is a constant. {Since the product of the slopes of two perpendicular straight line is -1}

Now, the line 2 passes through the point (10,10).

So, from equation (2), we get,

$c = y - \frac{8}{5} x = 10- \frac{8 \times 10}{5} = - 6$

Therefore, the equation of line 2 will be $y = \frac{8}{5} x - 6$

This equation is in y = mx + c form where $m = \frac{8}{5} = 1.6$ and c = - 6

Hence, m + c = 1.6 - 6 = - 4.4 (Answer)

7 0

3 years ago

Let PQR be a triangle such that angle P = angle Q + angle R. Among all three exterior angles of triangle PQR, what is the smalle

Phantasy [73]

Answer:

The smaller exterior angle is the exterior angle in the vertex P, and it measures 90°

Step-by-step explanation:

The sum of the internal angles of a triangle needs to be 180 degrees, so we have two equations:

$mP = mQ + mR$

$mP + mQ + mR = 180\°$

Substituting $mQ + mR$ by $mP$ in the second equation, we have:

$mP + mP = 180\°$

$mP = 90\°$

The other two angles need to be lesser than mP, and the exterior angle is the supplement of the internal angle, so the bigger the internal angle, the smaller the exterior angle.

So if the bigger internal angle in this triangle is mP, the smaller exterior angle is also the angle in the vertex P:

$exteriorP = 180\° - mP$

$exteriorP = 90\°$

7 0

3 years ago