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3 years ago

3 ½ times as many guests arrived as were expected. If 105 guests were unexpected, how many guests were expected ?

Mathematics

1 answer:

lara [203]3 years ago

8 0

Let x be the expected number Number arriving = 3•5 x Unexpected number 2•5 x 2•5 x = 105 10x = 420 x = 42______Option D

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Suppose you have a tablet with a capacity of 35 gigabytes. for a plain text book, one byte typically corresponds to one charact

steposvetlana [31]

The first thing we must keep in mind is the following unit conversion:
$1 gigabytes = 1 * 10 ^ 9 bytes
$
We have then that for 35 gigabytes:
$35 * (1 * 10 ^ 9) = 35 * 10 ^ 9 bytes
$

Part A:
For this case we make the following rule of three:
2000 bytes --------------> 1 page
35*10^9 bytes ----------> x
From here, we clear x:
$x = (35 * 10 ^ 9) / (2000)

x = 17500000 pages$

Part B:
Then, the number of 500-page books is:
$n = (17500000) / (500)

n = 35000

$

5 0

4 years ago

Find the 100th term in the arithmetic sequence

fiasKO [112]

$a_n=a_1+(n-1)d\\\\d=a_{n+1}-a_n$

$a_1=-19;\ a_2=-14;\ a_3=-9;\ a_4=-4;\ a_5=1;\ ...\\\\d=a_2-a_1=a_3-a_2=a_4-a_3=...\\\\d=-14-(-19)=-14+19=5\\\\a_n=-19+(n-1)(5)=-19+5n-5=5n-24\\\\a_{100}=5(100)-24=500-24=476\to\boxed{c.}$

5 0

3 years ago

In ΔNOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle OPQ = (9x-19)^{\circ}m∠OPQ=(9x−19) ∘ , \text{m}

kow [346]

Answer:

To find the measure of angle OPQ, we have two equations...

y+5x-17=180 because angles OPN and OPQ are supplementary...

AND

x+17+2x-4+y=180 because the total degrees of a triangle must add up to 180.

The equations...

5x+y=197

3x+y=167

solce the system of equations...

x=15

y=122

Since we wanted to solve for y, 122 is the answer.

The measure of angle OPQ is 122.

3 0

3 years ago

1. A truck's container has dimensions of 10 ft * 6 ft * 3 ft. It needs to transport microwaves (each takes 5 cubic feet of space

galina1969 [7]

Answer:

36 microwaves

Step-by-step explanation:

First, find the volume of the truck's container

10*6*3 = 60 * 3 = 180

180 / 5 = 36

36 microwaves

Realistically, this wouldn't work unless you could make the microwaves any shape you want

However, according to mathematics, it would work

4 0

2 years ago

Ted tossed a coin several times and recorded the number of heads and tails in the following table:

sineoko [7]

<h2>Answer:</h2>

Option: D is the correct answer.

D. 0.45

<h2>Step-by-step explanation:</h2>

The results of the experiment are given as follows:

Coin Experiment Side of Coin Number of Tosses

Heads 18

Tails 22

This means that total 40 experiments were performed.

( Since 18+22=40)

Also, the number of times head turn up=18

Hence, the experimental probability of getting heads is:

Ratio of number of times head turn up to the total number of experiments performed.

Hence,

$Probability=\dfrac{18}{40}\\\\\\Probability=0.45$

Hence, the experimental probability of getting head is:

0.45

3 0

3 years ago