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Alex
2 years ago
13

Jessica and Mike are making presentations for a class project. Jessica's slideshow starts with a verbal introduction that is 16

seconds long, and then each slide is left up for 2 seconds. Mike leaves each slide on screen for 3 seconds, and his introduction lasts 10 seconds. Jessica and Mike notice that their presentations have both the same number of slides and the same duration. How many slides are in each presentation? How long is each presentation? Explain why.
Mathematics
1 answer:
uysha [10]2 years ago
6 0

Answer:

they both has 7 slides and the presentation had a duration of 28 seconds

Step-by-step explanation:

we have to setup equation that makes them equal to each other if you know what i mean. 2x+16=3x+10

then we just solve for x

2x+16=3x+10

subtract 10 from each side

2x+6=3x

step 2 subtract 2x from each side

x=6

so both of their presentations are 7 slides long

then to find the length of their presentations we just plug in 6 to one of the equations

2(6)+16

2x6=12 12+16=28 so both of their presentations were 28 seconds

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castortr0y [4]

Answer:

1/2 lb

Step-by-step explanation:

(1)1.75 + 3(3.75) - 4 = 23.5/4

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2 years ago
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find the area of a parallelogram if a base and corresponding altitude have the indicated lengths base 1 1/2 feet , altitude 6 in
Ostrovityanka [42]

The area of parallelogram is 108 square inches

<em><u>Solution:</u></em>

<em><u>The formula for area of parallelogram is:</u></em>

Area = base \times height

From given,

Base = 1\frac{1}{2}\ feet = \frac{2 \times 1 + 1}{2} = \frac{3}{2}\ feet

Height = 6\ inches

<em><u>Convert feet to inches</u></em>

1 feet = 12 inches

\frac{3}{2}\ feet = \frac{3}{2} \times 12\ inches = 18\ inches

<em><u>Therefore, area of parallelogram is:</u></em>

Area = 18 \times 6\\\\Area = 108

Thus area of parallelogram is 108 square inches

4 0
2 years ago
If you ride your bike at an average speed of 15 mph, how long will it take you to ride to your grandparents’ home? Express your
saveliy_v [14]

Answer:

It will take you 0.24 hour to ride to your grandparents’ home

It will take you 14 minutes to ride to your grandparents’ home

Step-by-step explanation:

- Your average speed is 15 miles per hour

- The distance to grandmother home is 3.67 miles

- You need to know how long it will take you to do that

∵ Distance = speed × time

∵ Distance = 3.67 miles

∵ Speed = 15 miles per hour

- Substitute these values in the rule above

∴ 3.67 = 15 × time

- Divide both sides by 15 to find the time

∴ Time = 0.24 hour

* It will take you 0.24 hour to ride to your grandparents’ home

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∵ Time = 0.24 hour

∴ Time = 0.24 × 60 = 14.4

∴ Time ≅ 14 minutes

* It will take you 14 minutes to ride to your grandparents’ home

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3 years ago
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Arte-miy333 [17]

Answer:

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Step-by-step explanation:

Use the FBD attached:

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Sum of all tangential forces is:

m*g*sin(θ) + k*l*sin(θ)*cos(θ) = - m*l*Ö

Using small angle approximations:

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5 0
3 years ago
Which of the following are solutions to the equation below? Check all that apply.
Vesna [10]

(3x + 4)2 = 14

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6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -

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Divide both sides by 6 because of the 6 beside the x : 6x

6x/6 = 6/6

x = 1

5 0
3 years ago
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