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blagie [28]
3 years ago
5

A bag contains 8 blue marbles, 7 green marbles, and 5 red marbles.

Mathematics
1 answer:
Alina [70]3 years ago
3 0

the probability is 5 out of 20

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Keaton's dinner bill at a local restaurant before tax and tip was $25.85 if he wants to leave 15% of the bill for tip and there'
Ksju [112]
Bill = $25.85

Tips = 15% x $25.85 = $3.88

Tax = 6.25% x $25.85 = $1.62

Total amount = $25.85 + $3.88 + $1.62 = $31.35

------------------------------------------------------
Answer: He will spend $31.35 in total.
------------------------------------------------------
8 0
3 years ago
I need help w/ this!! thank you
Fittoniya [83]
<h3><u>Answer:</u></h3>

\boxed{\pink{\sf \leadsto Yes \ there \ is \ a \ solution \ of \ the \ given \ inequality .}}

<h3><u>Step-by-step explanation:</u></h3>

A inequality is given to us and we need to convert it into standard form and see whether if it has a solution . So let's solve the inequality.

The inequality given to us is :-

\bf\implies |2y + 3 | - 1 \leq 0 \\\\\bf\implies |2y+3|\leq 1 \\\\\bf\implies (|2y+3|)^2 \leq 1^2  \\\\\bf\implies (2y+3)^2 \leq 1  \\\\\bf\implies (2y)^2+3^2+2(2y)(3) \leq 1  \\\\\bf\implies 4y^2+9+12y - 1 \leq 0  \\\\\bf\implies 4y^2+12y+8 \leq 0 \\\\\bf\implies 4( y^2 + 3y + 2 ) \leq 0  \\\\\bf\implies y^2+3y +2 \leq 0 \:\:\bigg\lgroup \purple{\bf Standard \ form \ of \ inequality }\bigg\rgroup   \\\\\bf\implies y^2y+2y+y+2 \leq 0  \\\\\bf\implies y(y+2)+1(y+2)\leq 0  \\\\\bf\implies ( y+2)(y+1)\leq 0  \\\\\bf\implies \boxed{\red{\bf y \leq (-2) , (-1) }}

Let's plot a graph to see its interval . Graph attached in attachment .

Now we can see that the Interval notation of would be ,

\boxed{\boxed{\orange \tt \purple{\leadsto}y \in [-2,-1] }}

<h3><u>Hence</u><u> the</u><u> </u><u>standa</u><u>rd</u><u> </u><u>form</u><u> </u><u>of</u><u> </u><u>inequa</u><u>lity</u><u> </u><u>is</u><u> </u><u>y²</u><u>+</u><u>3y</u><u> </u><u>+</u><u>2</u><u> </u><u>≤</u><u> </u><u>0</u><u> </u><u>and</u><u> </u><u>the </u><u>Solution</u><u> </u><u>set</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>ineq</u><u>uality</u><u> </u><u>is</u><u> </u><u>[</u><u> </u><u>-</u><u>2</u><u> </u><u>,</u><u> </u><u>-</u><u>1</u><u> </u><u>]</u><u> </u><u>.</u></h3>
4 0
2 years ago
Which of the following statements is true?
Alborosie

b.an object at rest has an instantaneous acceleration of zero

8 0
3 years ago
Help me guyssss pleaseee
matrenka [14]

Answer:

a

Step-by-step explanation:

trust me i used to this all the time

3 0
3 years ago
After the rocket has traveled a total distance of 300 feet, what is its vertical height above sea level? Round the distance to t
il63 [147K]
I added a screenshot with the complete question along with its diagram.

Answer:
vertical height is approximately 260 ft

Explanation:
We can note that the sea level, vertical height and the distance traveled by the rocket all form a right angled triangle.
This means that the special trig functions can be applied.
These functions are as follows:
sin θ = opposite / hypotenuse
cos θ = adjacent / hypotenuse
tan θ = opposite / adjacent

From the given we have:
θ = 60°
opposite is the vertical height that we want to find
hypotenuse = 300 ft

Applying the sin function, we can get the vertical height as follows:
sin (60) = opposite / 300
opposite = 300 * sin (60)
opposite = 259.807 which is approximately 260 ft

Hope this helps :)

3 0
3 years ago
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