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Solnce55 [7]
3 years ago
10

The table below shows data for a class's mid-term and final exams:

Mathematics
1 answer:
kari74 [83]3 years ago
4 0
I think it’s the 81-78
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Find the length of x.
jenyasd209 [6]
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6 0
3 years ago
Machine A produces bolts at a uniform rate of 120 every 40 seconds, and Machine B produces bolts at a uniform rate of 100 every
Nutka1998 [239]

Answer:

25 seconds

Step-by-step explanation:

Hi there!

In order to answer this question, first we need to know how many bolts per second are produced by each machine, this can be known by dividing the number of bolts by the time it takes.

For machine A:

A = \frac{120 bolts}{40 s}= 3 \frac{bolts}{s}

For machine B:

B = \frac{100 bolts}{20 s}= 5 \frac{bolts}{s}

So, if the two machines run simultaneously, we will have a rate of prodcution of bolts equal to the sum of both:

A+B=(3+5)\frac{bolts}{s}=8\frac{bolts}{s}

Now, we need to know how much time it will take to producee 200 bolts, to find this out we need to divide the amount of bolts by the production rate:

t = \frac{bolts}{ProductionRate}= \frac{200 bolts}{8 \frac{bolts}{s} }

The <em>bolts</em> unit cancell each other and we are left with <em>seconds</em>

t = \frac{200}{8} s = 25 s

So it will take 25 seconds to produce 200 bolts with machine A and B running simultaneously.

Greetings!

4 0
3 years ago
Read 2 more answers
The area of a trapezoid is 243cm2. The height is 18cm and the length of one of the parallel sides is 10cm. Find the length of th
Irina18 [472]

Answer:

Side_2 = 17\ cm

Step-by-step explanation:

Given

Shape: Trapezoid

Area = 243cm^2

Height = 18cm

Side_1 = 10cm

Required

Determine the length of the second parallel side

The area of a trapezoid is:

Area = \frac{1}{2}(Side_1 + Side_2) * Height

Substitute values for Area, Height and Side1

243 = \frac{1}{2}(10 + Side_2) * 18

Multiply both sides by 2

2 * 243 = 2 * \frac{1}{2}(10 + Side_2) * 18

486 = (10 + Side_2) * 18

Divide both sides by 18

27 = 10 + Side_2

Side_2 = 27 - 10

Side_2 = 17\ cm

Hence;

<em>The length of the second parallel side is 17cm</em>

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William picked 3 3/8
zalisa [80]
What is this asking I have no idea
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James is applying for a new job at a game design company. Job A offers $40,000 starting salary with a $1000 raise each year. Job
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Job B because every year he gets a $2800 every year and if he continues for 5 years he will get a total of $14000 but if he works at job A he gets $5000 after 5 years

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