2.4 as a mixed number

Answer:

Number of red marbles = 13

Number of green marbles = 12

Number of blue marbles = 5

Total Number of marbles = 13+12+5

Total Number of Marbles = 30 marbles

[tex] \bf \: probability \: of \: blue \: marbles \: = \frac{number \: of \: blue \: marbles}{total \: number \: of \: marbles} [/tex]

[tex]\sf \dashrightarrow \: probability \: of \: blue \: marble = \frac{5}{30} \\ \\ \sf \dashrightarrow \: probability \: of \: blue \: marble = \cancel \frac{5}{30} \\ \\ \sf \dashrightarrow \: probability \: of \: blue \: marble = \frac{1}{6} [/tex]

So, the probability of blue marbles would be ⅙ .

Answer:

1/6 chance of getting blue

Step-by-step explanation:

find your total (30) that will be your denominator

the number of blue marbles will be your numerator (5)

then simplify 5/30 to 1/6

Given expression:

[tex] \sf4c \div 6 + 2a[/tex]

Given values:

Rule we are going to use:

BODMAS

Solution:

[tex] \tt4 \times 4 \div 6 + 2 \times 5[/tex]

[tex] \tt \: \frac{ \cancel4 \times 4}{ \cancel6} + 10[/tex]

[tex] \tt \: \frac{2 \times 4}{3} + 10[/tex]

[tex] \tt \frac{8}{3} + 10[/tex]

[tex] \boxed{ \bf \: \frac{38}{3} }[/tex]

Answer:

  2.62 radians

Step-by-step explanation:

The angle is found from its cosine using the inverse cosine function.

  cos(θ) = (-√3)/2

  θ = arccos((-√3)/2) = 5π/6 ≈ 2.62 . . . radians

Solution:

Note that:

Simplify the equation to find x.

→ x + 108 + (180 - 133) = 180°

→ x + 108 + (47) = 180°

→ x + 155 = 180°

→ x = 180 - 155 = 25°

Answer:

an= a1 +(n-1)*4

Step-by-step explanation:

a1 = 1, a2 =5, a3 = 9, a4= 13,... an= ?

we see that each term is getting bigger so usually that will happen because of addition or multiplication-in our case add 4 to previous term

a1 = 1,

a2 = a1+(2-1) 4 = 1+4 = 5,

a3 = a1 + (3-1)*4 = a1+8 = 1 + 8 = 9,

a4= a1 + (4-1)*4 = a1 + 12 = 1+12= 13,

...

an= a1 +(n-1)*4

Answer:

Audrey will have $10,498.10 when Zoe's money has doubled in value.

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Equality Properties

Algebra II

Natural Logs and Exponentials

Compounded Continuously Interest Rate Formula: [tex]\displaystyle A = Pe^{rt}[/tex]

Compounded Annually Interest Rate Formula: [tex]\displaystyle A = P(1 + r)^t[/tex]

Step-by-step explanation:

Step 1: Define

Identify.

Zoe:

P = $5,500

r = 0.085

A = 2P

Aubrey:

P = $5,500

r = 0.0825

Step 2: Find Time

Find time elapsed by using Zoe.

So the time it takes for Zoe to get double her money is approximately 8.15467 years.

Step 3: Find Audrey's Money

∴ after the elapsed time of approximately 8.15467 years, Zoe would have made double her money valued at $11,000 and Audrey would have made $10,498.10.

---

Topic: Algebra II

Unit: Logarithmic Functions

Answer:

12 inches of red ribbon + 7 inches

therefore the length of a blue ribbon is = 19 inches

Answer:he right

Step-by-step explanation:

Answer:

35904 ft

Step-by-step explanation:

We can set up an unit converter to find how many feet Jimmy jogged...

[tex]6.8 mi(\frac{5280ft}{1mi})[/tex]

Note that in this case, the miles (units) cancel out leaving us with:

[tex]6.8*5280ft=35904\ ft[/tex]

Answer:

Step-by-step explanation:

15(x + 3) = 24x

15x + 45 = 24x

45 = 9x

5 = x

Answer:

1.   6.1-10.3

Thats all i know.. hope it helps

Answer:

x = 12√3

y = 12

Step-by-step explanation:

=>> x/24 = perpendicular/hypotenuse

=>> x/24 = sin 60°

=>> x/24 = √3/2

=>> x = 24√3/2

=>> x = 12√3

now the value of y

=>> y/24 = cos 60°

=>> y/24 = 1/2

=>> y = 12

Answer: 116.75

Step-by-step explanation: Since $67 is being withdrawn from her checking account EACH month the equation would be $250.75 - 67x.

We already know the value of "x" (2) so we plug that in.

250.75 - 67(2)

Now we multiply and subtract.

250.75 - 134

116.75

Answer:

-12.2 rounded

Step-by-step explanation:

Combine like terms.

Move constants to one side of equal sign

divide

6w-15w-19 =91        combine like terms

-9w-19       = 91       add 19 to both sides

-9w            = 110     divide by -9

w                =  -12.2 repeating or 12.2  

Answer:

SHE HAS ONLY HAS 1 LEFT

Step-by-step explanation:

3 - 2 = 1

Answer:

13,260.22 mm²

Step-by-step explanation:

the area of the shaded region is the area of the larger circle minus the area of the smaller one

to find the area of the larger we will use half of 62 plus 41 as the radius:

Area (larger) = 3.14(72)²

= 16,277.76

Area (smaller) = 3.14(31)²

= 3,017.54

Area (shaded region) is 16277.76 - 3017.54 = 13,260.22 mm²

Answer:

The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint

Step-by-step explanation:

The recipe uses 5/8 oz of simple syrup for 1/4 pint of tea. Find the unit rate in oz per pint

Answer:

[tex]\sf 2\frac{10}{63}[/tex]

steps:

[tex]\sf \frac{6}{7} *2\frac{14}{27}[/tex]

convert into mixed fraction

[tex]\sf \frac{6}{7}\cdot \frac{68}{27}[/tex]

multiply both fractions

[tex]\sf \frac{6\cdot \:68}{7\cdot \:27}[/tex]

simplify the fraction

[tex]\frac{408}{189}[/tex]

final answer in improper fraction

[tex]\sf \frac{136}{63}[/tex]

convert in mixed fraction

[tex]\sf 2\frac{10}{63}[/tex]

Answer:

3

Step-by-step explanation:

2 1/2 pounds is equal to one pound.

If you want to make 1/3 pound hamburgers you can make 3 from 1 pound ground beef.

1/3+1/3+1/3=1

Answer:

734y 87tt795795708 679 ft

Answer:

I don't know

Step-by-step explanation:

Answer:

She earned $288 this week

Step-by-step explanation:

x = 12

Work = 2(12) + 8

24 + 8 = 32 hours

Earned = (12) - 3 = 9 per hour

32 × 9 = $288

I hope this helps!

Answer:

Step-by-step explanation:

The area of a trapezoid is found using the formula, A = ½ (a + b) h

so

½(41 + 19) × 11 =

½ 60 × 11 =

30 × 11 =

330 m²

Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.

Compound interest is given by:

[tex]A=P(1+\frac{r}{n})^{nt}[/tex]

where A is the final amount, P is principal, r is the rate and n is the times compounded per year, t is the time

Given that t = 11, n = 1, r = 9% = 0.09, A = $7500 . Hence:

[tex]7500=P(1+\frac{0.09}{1} )^{1*11}\\\\P=\$2906.50[/tex]

Mr. and Mrs. Bailey need to invest $2906.50 for eleven years so as to be able to contribute $7500 their son education.

Find out more on Compound interest at: https://brainly.com/question/24924853

Answer:

85 degrees

Step-by-step explanation:

7: 180 - 52 - 43 = 85 degrees  

Answer:

0.0045%

Step-by-step explanation:

0.0045 is not a fraction so it is a decimal already.

Answer:

0.000045

Step-by-step explanation:

good luck!

Answer:

48 (i might be wrong)

Step-by-step explanation:

180-66-66=48

The factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].

A factor is a number that divides another number leaving no remainder. In other words, if multiplying two whole numbers gives us a product, then the numbers we are multiplying are factors of the product because they are divisible by the product.

Given

The equation is;

[tex]\rm x^3+x^2+x+1[/tex]

The factors of the equation are given by;

[tex]\rm = x^3+x^2+x+1\\\\ = x^2(x +1) + 1( x +1 )\\\\= (x^2 +1)(x +1)[/tex]

Hence, the factors of the equation [tex]\rm x^3+x^2+x+1\\\\[/tex] are [tex]\rm (x^2 +1)(x +1)[/tex].

To know more about factors click the link given below.

https://brainly.com/question/2315299

By definition of the derivative,

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{t(x+h) - t(x)}h[/tex]

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h[/tex]

Rationalize the numerator by multiplying the fraction uniformly by its conjugate:

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\sqrt{-3(x+h)-7} - \sqrt{-3x-7}}h \times \dfrac{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{\left(\sqrt{-3(x+h)-7}\right)^2 - \left(\sqrt{-3x-7}\right)^2}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{(-3(x+h)-7) - (-3x-7)}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]

[tex]\displaystyle t'(x) = \lim_{h\to0} \frac{-3h}{h \left(\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}\right)}[/tex]

[tex]\displaystyle t'(x) = -3 \lim_{h\to0} \frac1{\sqrt{-3(x+h)-7} + \sqrt{-3x - 7}}[/tex]

The remaining limand is continuous at h = 0, so we can substitute h = 0 directly and get a limit/derivative of

[tex]\displaystyle t'(x) = -\frac3{\sqrt{-3(x+0)-7} + \sqrt{-3x - 7}} = \boxed{-\frac3{2\sqrt{-3x-7}}}[/tex]

#2

Dogs=30

Using the together rate, it is found that it takes 144.5 hours to fill the empty pool when only the input pipe is open.

It is the sum of each separate rate.

In this problem:

Hence:

[tex]\frac{1}{x} + \frac{1}{x - 1} = \frac{1}{72}[/tex]

[tex]\frac{x - 1 + x}{x(x - 1)} = \frac{1}{72}[/tex]

[tex]x^2 - x = 144x - 72[/tex]

[tex]x^2 - 145x + 72 = 0[/tex]

Which is a quadratic equation with coefficients a = 1, b = -145, c = 72, hence:

[tex]\Delta = b^2 - 4ac = (-145)^2 - 4(1)(72) = 20737[/tex]

[tex]x_1 = \frac{145 + \sqrt{20737}}{2} = 144.5[/tex]

[tex]x_2 = \frac{145 - \sqrt{20737}}{2} = -0.5[/tex]

Time is a positive measure, hence, it takes 144.5 hours to fill the empty pool when only the input pipe is open.

More can be learned about the together rate at https://brainly.com/question/25159431

The quadratic equation cannonball’s path if it was launched with the same velocity, but from the ground instead would be given by:

[tex]h(t) = -4.9t^2 + 19.8t[/tex]

Considering the gravity, it is modeled by:

[tex]h(t) = -4.9t^2 + v_0t + h_0[/tex]

In which:

For this problem, we want:

Then, the equation is:

[tex]h(t) = -4.9t^2 + 19.8t[/tex]

More can be learned about quadratic equations at https://brainly.com/question/24737967