how to convert 2.33 into a fraction​

Answer:

[tex]\frac{4}{9}[/tex]

Step-by-step explanation:

The equation would be

[tex]\frac{1}{3} +\frac{1}{9} =total[/tex]

First, change the denominator to a common multiple.

The LCM (least common multiple) of 3 and 9 is 9.

[tex]\frac{3}{9} +\frac{1}{9} =total[/tex]

Add to solve.

[tex]\frac{4}{9}[/tex]

I hope this helps!

Answer:

4/9

Step-by-step explanation:

We need to add the amounts together

1/3 + 1/9

Getting a common denominator

1/3 *3/3   + 1/9

3/9 + 1/9

4/9

Answer: B. 4 × 10⁻⁵

Step-by-step explanation:

0.00003762 = 3.762 × 10⁻⁵ ≈ 4 × 10⁻⁵

Answer:

b

Step-by-step explanation:

[tex]4 \times {10}^{ - 5} = 4 \times \frac{1}{100000} [/tex]

Answer:

⊥

Step-by-step explanation:

d and b meet at a 90 degree angle ( as shown by the box)

The lines are perpendicular (⊥)

Answer:

Step-by-step explanation:

Let the smaller number = x

Let the larger number = x + 1

5*(x + 1) = 59

You can do this. The problem says that when the larger number is multiplied by 5, you get 59. You are also told that the numbers are whole numbers. 59 divided by 5 leaves a remainder which is not a whole number.

Answer:

(r - c)(4), is the profit made in George's new store after 4 months which is $4,500

Step-by-step explanation:

The given parameters for George's store are;

The amount of revenue George makes each month, r(x) = x² + 6·x + 10

The expenses each month, c(x) = x² - 4·x + 5

Where;

x = The number of months the store has opened the doors

r(x) and c(x) are measured in hundreds of dollars

The amount of profit from the store, P = Revenue - Expenses

Therefore, the profit made on a given month, x, is P(x), which is found as follows;

P(x) = r(x) - c(x) = (r - c)(x)

Therefore, (r - c)(4) = P(4), is the profit realized from George's new store, after 4 months

(r - c)(4) = 4² + 6·4 + 10 - (4² - 4·4 + 5) = 45

Answer:

The new store will have a profit of $4500 after its fourth month in business.

Step-by-step explanation:

I took the quiz

Answer:

4

Step-by-step explanation:

6(6+x) = 5(5+x+3)

36+6x = 25+5x+15

6x-5x=40-36

x=4

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Answer:

Step-by-step explanation:

Answer:

See explanation

Step-by-step explanation:

The question is not properly presented; I will answer this with the following similar question.

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex] --- [tex]x \ne 2[/tex]

[tex]h(x) = -4[/tex] --- [tex]x= 2[/tex]

Required

[tex]h(-5)\ \&\ h(2)[/tex]

Calculating h(-5)

This implies that: x = -5

[tex]-5 \ne 2[/tex]

So, we make use of:

[tex]h(x) = -\frac{1}{3}x^2 + 4[/tex]

Substitute -5 for x

[tex]h(-5) = -\frac{1}{3} * (-5)^2 + 4[/tex]

[tex]h(-5) = -\frac{1}{3} * 25 + 4[/tex]

[tex]h(-5) = -\frac{25}{3} + 4[/tex]

Take LCM

[tex]h(-5) = \frac{-25+12}{3}[/tex]

[tex]h(-5) = -\frac{13}{3}[/tex]

Calculating h(2)

This implies that: x = 2

[tex]2 = 2[/tex]

So, we make use of:

[tex]h(x) = -4[/tex]

Substitute 2 for x

[tex]h(2) = -4[/tex]

Use the above explanation to answer your question

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Answer:

210 * 1.1 = 231

48*1.1 = 52.8

Step-by-step explanation:

Answer:

hope this helps you

have a great day

Answer:

f(g(x)) = 9x^2 +12x -1

Step-by-step explanation:

f(g(x)) means you replace the x in f(x) with g(x), which is 3x + 1:

(3x+1)^2 + 2(3x+1) - 4

then expand and simplify:

(3x+1)(3x+1) + 6x+2 - 4

9x^2+6x+1 + 6x+2 - 4

and then collect all like terms:

9x^2

6x + 6x = 12x

1 + 2 - 4 = -1

Answer:

4th option and 3rd option

Step-by-step explanation:

Using the recursive rule and a₁ = 7 , then

a₂ = 3a₁ - 6 = (3 × 7) - 6 = 21 - 6 = 15

a₃ = 3a₂ - 6 = (3 × 15) - 6 = 45 - 6 = 39

a₄ = 3a₃ - 6 = (3 × 39) - 6 = 117 - 6 = 111

a₅ = 3a₄ - 6 = (3 × 111) - 6 = 333 - 6 = 327

The first 5 terms are 7, 15, 39, 111, 327

---------------------------------------------------------------------

Similarly using the recursive rule and a₁ = 9

a₂ = 3a₁ + 3 = (3 × 9) + 3 = 27 + 3 = 30

a₃ = 3a₂ + 3 = (3 × 30) + 3 = 90 + 3 = 93

a₄ = 3a₃ + 3 = (3 × 93) + 3 = 279 + 3 = 282

a₅ = 3a₄ + 3 = (3 × 282) + 3 = 846 + 3 = 849

The first 5 terms are 9, 30, 93, 282, 849

Answer:

Hello Arjun, The Answer Is 26.54 panels.

Explanation:

Dimensions of roof section: 7.2m By 4.4m

Area Of Roof: 7.2*4.4 = 31.68m²

Dimension of solar panels: 1400mm by 850mm

= 1400÷1000 by 850÷1000 = 1.4m by 0.85m

So We can say that: Area each solar panel = 1.4 * 0.85 = 1.19m²

The 30 CM Gap On All Edges Gives Us A Square Of Side = 30 Cm = 0.3 M

So, The Area Of Gap Left = 0.3*0.3 = 0.9m²

Now, The Total Area That Can Be Covered Is 31.68-0.9 = 31.59m²

So, Now we Divide The area remaining with the area of the solar panel that is: 31.59 ÷ 1.19m² = 26.54 Panels...

I Could Only Understand This Much  From The HW Ma'am Gave, So This Was My Answer...

Hope It Helps!

Answer:

D. Closed circle on 8, shading to the right.

Answer:

g(f(2)) = 41

b)41

Step-by-step explanation:

g(f(2)) = 41

f(2)= 2(2²) + 5 = 13

So g(f(2)) → g(n = 13)

g(n = 13)→ 3(13) + 2 = 41

Answer:

write your question properly

Step-by-step explanation:

Answer:

X=20

a< = 125

Step-by-step explanation:

Answer:

6 + 12/13, or 90/13 people will be served

Step-by-step explanation:

Ratios stay the same, no matter the quantity.

Given this, we can say that (13 grapes / 3 people) = (30 grapes / x amount of people)

13/3 = 30 / x

multiply both sides by 3 to remove a denominator

13 = 30 * 3 /x

multiply both sides by x to remove the other denonimator

13 * x = 30 * 3

13 * x = 90

divide both sides by 13 to isolate the x

x = 90/13 = 6 + 12/13 ≈6.92 people

Answer:

8/10

Step-by-step explanation:

Answer:

speed is 2t - 5

velocity is 2t - 5

a = 2 m/s²

Step-by-step explanation:

Given the position of a particle expressed as:

s(t) = t^2 - 5t + 1

speed v = ds/dt

ds/dt = 2t - 5

Hence the speed is 2t - 5

velocity can also  be expressed as the speed, hence, velocity is 2t - 5

Acceleration is the change in velocity with respect to time. Hence;

a = dv/dt

a = 2 m/s²

Answer:

x = - 3, y = 2

Step-by-step explanation:

Given the 2 equations

y = x + 5 → (1)

y = - 2x - 4 → (2)

Substitute y = x + 5 into (2)

x + 5 = - 2x - 4 ( add 2x to both sides )

3x + 5 = - 4 ( subtract 5 from both sides )

3x = - 9 ( divide both sides by 3 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = - 3 + 5 = 2

Answer:

C -2,-1

Step-by-step explanation:

I pulled up a graph of a circle. -2, -1 is outside the circle

Answer:

The height is 0.014

Step-by-step explanation:

Use the formula, V=πr2h

h=V

πr2=13

π·172≈0.014

Answer:

common difference = 4

Step-by-step explanation:

common difference is the difference between the successive term and its preceding term.

let's take the successive term of -20 that is - 16

common difference (d) = successive term - preceeding term

= -16 -(-20)

= -16 + 20

= 4

if we take the successive term of -16 that is -12

we'll get the same common difference.

d = -12 -(-16)

d = -12 + 16

d = 4

this means that the common difference for an AP remains constant.

Answer:

180m cubed

Step-by-step explanation:

Multiply the length, width, and height together: 6×6×5=180

Answer:

Formula of a rectangular prism:

L x W x H

Now we place in the numbers and solve:

5 x 6 x 6 = 180 m3

 The distance of B from the boat is 8.99 miles

To calculate  the distance of the the boat from B we use cosine rule.

Cosine rule is a formula use to find one side of a triangle if two sides and an angle is given.

Cosine rule formula can be stated as

From the question,

⇒ Given:

⇒ Substitute these values into equation 1 and solve for R

Hence, the distance of B from the boat is 8.99 miles.

Learn more about cosine rule here: https://brainly.com/question/23720007

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Answer: -3x+y=-4

Step-by-step explanation:

Standard form is Ax+By=C. In y=Mx+b form, it would be y=3x-4. To put it into standard form you subtract 3x from both sides. So then you have -3x+y=-4.