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2 years ago

Solve 2x+6 ≤ 10 or 2x + 8 > 20.

Mathematics

1 answer:

Firlakuza [10]2 years ago

6 0

Answer:

Step-by-step explanation:

2x+6 ≤ 10 or 2x + 8 > 20

⇔ 2x ≤ 4 or 2x > 12

⇔ x ≤ 2 or x > 6

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4) During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play

ioda

$225 was earned from the craft sales

and $40 was earned from the play.

Given, During a school carnival, students from the middle school raised money by selling crafts, food, game tickets, and school play admissions.

Of each dollar earned, $0.15 came from games. Craft sales earned 3 times as much as games. Food sales were 4 times the amount earned from the play.

Let the amount earned by play be x,

Now, Games earned = 0.15×500 = $75

Also, crafts earned 3×75 = $225

Now, as play earned x, then food earned 4x.

According to question,

x + 75 + 225 + 4x = 500

5x + 300 = 500

5x = 200

x = 40

So, the amount earned by Play be, $40

and the amount earned by Food be $160.

Hence, $225 was earned from the craft sales

and $40 was earned from the play.

Learn more about Linear Equations here brainly.com/question/24085666

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5 0

1 year ago

At a local pizza parlor, patrons have 2 choices of cheese and 10 choices of topping. In how many different ways can a patron cho

SVEN [57.7K]

There is only 20 different ways you can do for 1 topping and 1 cheese for this question. Because every topping(10) on every cheese(2) gives you 20 different choices you can have a pizza.

3 0

4 years ago

Read 2 more answers

According the the U.S. Department of Education, full-time graduate students receive an average salary of $15,000 with a standard

Firdavs [7]

Answer:

Step-by-step explanation:

Given that :

population Mean = 15000

standard deviation= 1200

sample size n = 100

sample mean = 16000

The null and the alternative hypothesis can be computed as follows:

$\mathtt{H_o : \mu = 15000 }\\ \\ \mathtt{H_1 : \mu > 15000}$

Using the standard normal z statistics

$z = \dfrac{\overline X - \mu}{\dfrac{\sigma }{\sqrt{n}}}$

$z = \dfrac{16000 -15000}{\dfrac{1200 }{\sqrt{100}}}$

$z = \dfrac{1000}{\dfrac{1200 }{10}}$

$z = \dfrac{1000\times 10}{1200}$

z = 8.333

degree of freedom = n - 1 = 100 - 1 = 99

level of significance ∝ = 0.05

P - value from the z score = 0.00003

Decision Rule: since the p value is lesser than the level of significance, we reject the null hypothesis

Conclusion: There is sufficient evidence that the Dean claim for his graduate students earn more than average salary of $15,000

5 0

3 years ago

If a person walks 2.3 miles in 10 minutes, how far can he walk in 1.5 hours?

Molodets [167]

Answer;

If a person walks 2.4 miles in 10 minutes, how far can he walk in 1.5 hours?
---------------
1.5 hours = 90 minutes
That's 9x the time, so the person will walk 9x the distance.
2.4*9 = 21.6 miles.

6 0

3 years ago

Read 2 more answers

Help explAin & answer

ad-work [718]

Hello,

Sorry, i don't know the theorem in English

"Théorème des angles extérieurs :
la mesure en degré d’un angle extérieur est égale à la moitié de la différence des arcs interceptés par ses côtés."
Here

2x+15=1/2(10x+20-80)
==>4x+30=10x-60
==>6x=30+60
==>6x=90
==>x=15 °

3 0

4 years ago