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lorasvet [3.4K]

1 year ago

15

Drew drives his car and Rachel drives her truck in the same direction on the highway at constant speeds for 3.25 hours. During t

his time they do not stop for a break. Drew drives 178.75 miles, and Rachel drives 185.25 miles. Which statement is TRUE

1 answer:

never [62]1 year ago

4 0

Answer:

After 4.5 hours of driving at the same constant speeds, Drew and Rachel are 6.5 miles apart.

Hope This Helps :)

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If on a scale drawing 15 feet are represented by 10 inches then a scale of 1/10 inch represents how many feet

GenaCL600 [577]

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Step-by-step explanation:

According to scale drawing;

15 feet = 10 inches

1 inch = $\frac{15}{10}=\frac{3}{2}\ feet$

A scale of $\frac{1}{10}$ inch will represent;

Multiplying both sides by

$\frac{1}{10}*1=\frac{3}{2}*\frac{1}{10}\\\\\frac{1}{10}\ inches = \frac{3}{20}\ feet$

A scale of $\frac{1}{10}$ inches will represent $\frac{3}{20}$ feet.

Keywords: fraction, multiplication

Learn more about fractions at:

#LearnwithBrainly

3 0

2 years ago

In the figure below, \overline{AD} AD start overline, A, D, end overline and \overline{BE} BE start overline, B, E, end overline

VLD [36.1K]

Answer:

<u>The measure of the arc CD = 64°</u>

Step-by-step explanation:

It is required to find the measure of the arc CD in degrees.

So, as shown at the graph

BE and AD are are diameters of circle P

And ∠APE is a right angle ⇒ ∠APE = 90°

So, BE⊥AD

And so, ∠BPE = 90° ⇒(1)

But it is given: ∠BPE = (33k-9)° ⇒(2)

From (1) and (2)

∴ 33k - 9 = 90

∴ 33k = 90 + 9 = 99

∴ k = 99/33 = 3

The measure of the arc CD = ∠CPD = 20k + 4

By substitution with k

<u>∴ The measure of the arc CD = 20*3 + 4 = 60 + 4 = 64°</u>

6 0

1 year ago

A bee flies at 9 feet per second directly to a flowerbed from its hive. The bee stays at the flowerbed for 13 minutes, and then

Usimov [2.4K]

Answer: 576 feet

Step-by-step explanation:

You have to do a little subtracting and a little interpreting to get the answer. First you must assume that the bee travels in a straight line. This is math so we can assume this is true, although thousands would disagree.

Second you must assume that because it is loaded with nectar that it travels at a slower rate (not an unreasonable assumption).

Third you have to assume that the distance there is the same distance as coming back. Again this is math. We can make this assumption.

Find the travelling time.

The bee spends 12 minutes hunting down the nectar in the flowerbed. Since it was away from the hive for a total of 16 minutes, the travelling time is

16min - 12min = 4 min

Convert the Minutes to seconds.

1 minute = 60 seconds

4 minutes = 4*60 = 240 seconds.

Find the time each way.

The total time is 240 seconds, but it is not divided evenly.

Let the time there = t

Let the time back = 240 - t

The distances are the same.

r = 6 m/s

r1 = 4 m/s

t1 = t

t2 = 240 - t

dthere = dback

d = rate * time

6 m/s *t = 4 m/s (240 - t) Remove the brackets on the right.

6 * t = 4*240 - 4t Combine the like terms on the right.

6t = 960 - 4t Add 4t to both sides

6t + 4t = 960 - 4t + 4t Combine

10t = 960 Divide both sides by 10

10t/10 = 960/10 Do the division

t = 96 Time going to the flower bed

Find the distance

d = ?

r = 6 m/s

t = 96 second

d = r*t

d = 6 * 96 = 576 feet Answer

5 0

1 year ago

Marcello is constructing the perpendicular bisector of AB¯¯¯¯¯. He has already constructed arcs as shown.

Ratling [72]

Answer: "Use the straightedge to draw a line through points X and Y." is the right answer.

Step-by-step explanation:

To perpendicular bisector of line segment AB. There are following steps:

1) Draw arcs from points A and B on the both sides of AB.

2) Name the intersection points as X and Y.

3) Use the straightedge to draw a line through points X and Y.

4) Name the point as O

hence we have construct perpendicular bisector XY of AB which bisects at O.

3 0

2 years ago

6x+7y=4x+4y6x+7y=4x+4y6, x, plus, 7, y, equals, 4, x, plus, 4, y Complete the missing value in the solution to the equation. ((l

tia_tia [17]

Answer:

<h3>The missing value in the solution to the equation is <u>6</u>.</h3><h3>So, the complete solution is (6, -4).</h3>

Step-by-step explanation:

Given:

6x+7y=4x+4y.

( ,-4)

Now, to complete the missing value in the solution to the equation.

<em>As, the equation is:</em>

<em /> $6x+7y=4x+4y$ <em />

<em>And, the solution is:</em>

$(x,y)=(\ \ ,-4)$

Now, solving the equation by putting the value of $y=-4$ :

$6x+7(-4)=4x+4(-4)\\\\6x+(-28)=4x+(-16)\\\\6x-28=4x-16\\\\$

<em>Adding both sides by 28 we get:</em>

<em /> $6x=4x+12$ <em />

<em>Subtracting both sides by </em> $4x$ <em> we get:</em>

<em /> $2x=12$ <em />

<em>Dividing both sides by 2 we get:</em>

$x=6.$

<u><em>Thus, the solution to the equation is (6, -4).</em></u>

Therefore, the missing value in the solution to the equation is <u>6</u>.

4 0

2 years ago