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3 years ago

Use technology to solve for x. 2x−8=3x−9 What are the solutions?

Mathematics

1 answer:

deff fn [24]3 years ago

3 0

Step-by-step explanation:

$2x - 8 = 3x - 9 \\ \\ \therefore \: 9 - 8 = 3x - 2x \\ \\ \therefore \: 1 = x \\ \\ \therefore \: x = 1$

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Last year 762 students voted in the student council election at San Bruno Middle School this year 721 students voted to the near

Soloha48 [4]

Answer:

Percent change = 5.4%

Step-by-step explanation:

Given:

Number of students voted last year = 762

Number of students voted this year = 721

Change in the number of students who voted from last year to this year is given by the difference of their number. This gives,

Change in the number of students that voted = 762 - 721 = 41

Now, percentage change in the number of students that voted is given as:

$\textrm{Pecent change}=\frac{\textrm{Change in number}}{\textrm{Number last year}}\times 100\\\\\textrm{Pecent change}=\frac{41}{762}\times 100\\\\\textrm{Pecent change}=\frac{4100}{762}=5.38\%\approx 5.4\%$

Therefore, the percent change in the number of students that voted is 5.4%.

5 0

3 years ago

A paper bag contains a mixture of 3 types of candy. there are 10 packs of fuzzy peaches, 7 packs of sour keys, and 3 packs of ne

sweet-ann [11.9K]

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

<h3>How to calculate the probability?</h3>

a. Based on the information given, the probability that the person will be able to keep a pack of fuzzy peaches will be:

= 10/(10 + 7 + 3) × 10/(10 + 7 + 3)

= 10/20 × 10/20

= 1/4

= 0.25

The probability that the person will be able to keep a pack of fuzzy peaches will be 0.25.

b. The probability to be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 7/20) + (3/20 × 3/20)

= 100/400 + 49/400 + 9/400

= 158/400

= 0.395

The probability to be able to keep any of the candy will be 0.395.

c. The probability that you will not be able to keep any of the candy will be:

= (10/20 × 10/20) + (7/20 × 13/20) + (3/20 × 17/20)

= 100/400 + 91/400 + 51/400

= 242/400

= 0.605

The probability that you will not be able to keep any of the candy will be 0.605.

Learn more about probability on:

brainly.com/question/24756209

#SPJ1

6 0

2 years ago

In Mona’s new video game she earns 30 points for each fish caught and 80 points for each octopus captured, but she loses 15 poin

Y_Kistochka [10]

Answer:

c. 30x+80y-15z.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What 2 numbers equal to 8 when multiplied and 6 when added

expeople1 [14]

2 nuumbers multiply to 8 an addd to 6
factor 8 and add teh factor pairs
1,8
2,4

8+1=9
2+4=6

numbers are 2 and 4

if you were to solve it the
xy=8
x+y=6

y=6-x
x(6-x)=8
6x-x^2=0
0=x^2-6x+8
facotr
0=(x-2)(x-4)
set each to zero
x-2=0
x=2

x-4=0
x=4

x=2 or 4 and since they are interchangable, the numbes are 2 and 4

4 0

3 years ago

Read 2 more answers

Find the domain of the function. (enter your answer using interval notation.) f(x) = x + 6 if x ≤ −2 x2 if x > −2

kipiarov [429]

The domain is the union of all of the "if" parts of the function definition. These are telling you where the function is defined, which is what the domain is.

... (-∞, -2] ∪ (-2, ∞) = (-∞, ∞)

6 0

3 years ago