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Hatshy [7]
3 years ago
13

Joanie watched 1 3 of a movie in the morning, and she watched some more at night. By the end of the day, she still had 2 5 of th

e movie left to watch. How much of the movie did Joanie watch at night?
Mathematics
1 answer:
saw5 [17]3 years ago
5 0

Answer:Joanie watched 4/15 of the movie  at night

Step-by-step explanation:

Let total amount of movie to watch = 1 whole since we are dealing with fractions

Amount of movie watched in the morning = 1/3

Amount watched at night = x

Amount remaining= 2/5

so that  Total amount of movie to watch - Amount watched in morning and night = Amount remaining to watch

1 - ( 1/3 + x ) = 2/5

1- 2/5 = 1/3 + x

3/5 =1/3 + x

3/5 - 1/3 = x

9- 5/15 = x

x= Amount watched at night = 4/15

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6.
user100 [1]

Answer:

A. y = –5x – 27

Step-by-step explanation:

Find the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line parallel to  y = − 5 x + 3 .

y = − 5 x − 27                           PARALLEL

...................................................................................................................................................

Find the negative reciprocal of the slope of the original line and use the point-slope formula  y − y 1 = m ( x − x 1 )  to find the line perpendicular to  y = − 5 x + 3 .

y = 1 /5 x + 21 /5                    PERPENDICULAR

7 0
2 years ago
Y = x2 – 14x + 23<br> y = - 3x + 5
Hoochie [10]

Answer:

let first equation be  y=x^2-14x+23

second equation be y=-3x+5

now substitute the vale of y in equation second

y=-3x+5

x^2-14x+23=-3x+5

x^2-14x+3x=5-23

x^2-11x=-18

x^2-11x+18=0

x^2-(9+2)x+18=0

x^2-9x-2x+18=0

x(x-9)-2(x-9)=0

(x-2)(x-9)=0

either x-2=0                                        Or, x-9=0

x-2=0

x=0+2

x=2

x-9=0

x=0+9

x=9

therefore x=2,9

Step-by-step explanation:

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8 0
3 years ago
Read 2 more answers
Find two consecutive positive even integers whose product is 168
Dmitriy789 [7]
Hello There!

The integers you are looking for are 12 and 14.

Hope This Helps You!
Good Luck :) 

- Hannah ❤
3 0
3 years ago
NO LINKS!!! Find the probability that a randomly chosen point in the figure lies in the shaded region area.​
mezya [45]

Answer:

To find the probability that a randomly chosen point in the figure lies in the <u>shaded region</u>, we need to divide the area of shaded region by the total area of the figure.

<h3><u>Question 36</u></h3>

<u>Total Area</u>

Area of a rectangle = width × length = 8 × 12 = 96 units²

<u>Shaded Region Area</u>

This is made up of 6 congruent circles.

The radius of each circle is 1/6 of the length of the rectangle (or 1/4 of the width).

⇒ radius = 12/6 = 2 units

Area of a circle = πr² = π(2)² = 4π units²

⇒ Shaded region area = 6 circles = 6 × 4π = 24π units²

<u>Probability</u>

= Shaded region area ÷ total area

= 24π ÷ 96

= 0.7853981634...

= 78.5% (3 s.f.)

<h3><u>Question 37</u></h3>

<u>Total Area</u>

Area of a rectangle = width × length = 16 × 8 = 128 units²

<u>Shaded Region Area</u>

The easiest way to calculate this is to subtract the un-shaded areas from the total area:

⇒ Shaded region area = 128 - 2(2 · 10) = 88 units²

<u>Probability</u>

= Shaded region area ÷ total area

= 88 ÷ 128

= 0.6875

= 68.8% (3 s.f.)

<h3><u>Question 38</u></h3>

<u>Total Area</u>

The radius of the largest circle is the sum of the individual given radii.

⇒ Area of a circle = πr² = π(4 + 4 + 2)² = 100π units²

<u>Shaded Region Area</u>

= Area of a circle with radius (4 + 2) - area of circle with radius 2

= π(6)² - π(2)²

= 32π units²

<u>Probability</u>

= Shaded region area ÷ total area

= 32π ÷ 100π

= 0.32

= 32%

5 0
2 years ago
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Anastaziya [24]

im gonna say like C) 35° if its not that lemme know right away

6 0
3 years ago
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