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2 years ago

5

Benny spent 27 minutes talking on the phone on Wednesday. On Thursday, Benny's phone time was 9/10 of Wednesday's time. On Frida

y, Benny's phone time was 10/9 of Wednesday's time. Which of the following most accurately compares the times Benny spent on his phone? Explain in complete sentences why your answer is correct.
A. Benny spent more than 27 minutes talking on phone both Thursday and Friday
B. Benny spent fewer than 27 minutes talking on the phone both Thursday and Friday
C. He spent more than 27 min on Thursday and less than 27 min on Friday
D. He spent less than 27 min on Thursday and more than 27 min on Friday

2 answers:

horrorfan [7]2 years ago

6 0

Answer is A

Step by step explanation

aalyn [17]2 years ago

5 0

The answer is option A

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Svet_ta [14]

Answer:

-60 im pretty sure this is it

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3 years ago

Think I know this one but could do with some help

Andrei [34K]

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3 years ago

A train from Portland, Oregon, to Los Angeles, California, travels at an average speed of 60 miles per hour and covers a distanc

seropon [69]

Answer:

The train need to leave Portland at 03:27 am

Step-by-step explanation:

step 1

Find out how long it takes the train to travel from Portland, Oregon, to Los Angeles, California

Remember that

The speed is equal to divide the distance by the time

so

The time is equal to divide the distance by the speed

Let

s ---> the speed in miles per hour

d ---> the distance in miles

t ---> the time in hours

$t=\frac{d}{s}$

we have

$d=963\ mi$

$s=60\ mi/h$

substitute

$t=\frac{963}{60}=16.05\ hours$

step 2

Adds 30 minutes (time it takes to get from the train station to her aunt's house)

Remember that

$30\ minutes=0.50\ hours$

$16.05+0.50=16.55\ hours$

Convert to minutes

$16.55\ h=16.55(60)\ min=993\ min$

step 3

Remember that

$8 p.m=20:00\ hrs$

Convert to minutes

$20(60)=1,200\ min$

Subtract 993 minutes from 1,200 minutes

$1,200-993=207\ min$

Convert to hours+minutes

$207\ min=207/60=3.45\ hours$

$0.45\ h=0.45(60)=27\ min$

so

$3\ h+27\ min$

$00:00 + 03:27=03:27\ am$

therefore

The train need to leave Portland at 03:27 am

8 0

3 years ago

Find the area of a parallelogram with sides of 6 and 12 and an angle of 60°.

Anna007 [38]

ANSWER

36√3 square units.

EXPLANATION

The area of a parallelogram is obtained by multiplying the base by the height.

We use the sine ratio to obtain the height.

$\sin(60 \degree) = \frac{h}{6}$

$h = 6 \sin(60 \degree)$

$h = 3 \sqrt{3}$

The area becomes:

$12 \times 3 \sqrt{3} = 36 \sqrt{3} {units}^{2}$

4 0

3 years ago

Suppose triangle ABC has vertices at A(1, 0), B(10, 0), and C(2, 6). After a 60° counterclockwise rotation about the origin, ver

Artemon [7]

Check the picture attached.

Let OB be the radius of circle with center O.

Let B' be the image of B after the described rotation

OB and OB' are sides of the equilateral triangle OBB'.

The x coordinate of B' is the midpoint of OB, that is 5.

In the right triangle B', point (5, 0) and B:

Distance point (5, 0) to B is 5
|B'B|=|OB|=10

so by the pythagorean theorem:

$a= \sqrt{ 10^{2} - 5^{2} } = \sqrt{ 2^{2} *5^{2} - 5^{2} }= \sqrt{5^{2}(4-1)}=5 \sqrt{3}$ units

Answer: $5 \sqrt{3}$

3 0

3 years ago