which expression is equivalent to 1/3(4x+9)+5x?

A. 3 x + 3
B. 6 1/3 + 3
C. 9 x + 3
D. 9 1/3 x + 9 1/3​

Answer:

[tex] - \frac {1}{2} [/tex]

Step-by-step explanation:

Slope of the line

[tex] = \frac{4 - 2}{5 - 9} \\ \\ = \frac{2}{ - 4} \\ \\ = - \frac{1}{2} [/tex]

Answer: $1,116.19

Step-by-step explanation:

If you invested $243 and this increased to $1,359.19 in two years, the difference between your investment and its current worth is the interest:

= Current principal - Initial principal

= 1,359.19 - 243

= $1,116.19

Answer:

I believe it's false

Step-by-step explanation:

In a function, the x's can not be the same

Answer:

35

Step-by-step explanation:

Add 31 and 4 to get 35.

Answer:

41.16 m³

Step-by-step explanation:

Volume = area triangle x height

1/2(2.8x4.2) = 1/2( 11.76) = 5.88

5.88 x 7 = 41.16

If my answer is incorrect, pls correct me!

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-Chetan K

A). 5

I took the test :>

Answer:

A

Step-by-step explanation:

I took the quiz on EDGE 2022.

Answer:

option no.B - 3+ x <7

Step-by-step explanation:

hope it helps you

Answer:

Improper Fraction: 15 /2

Mixed Number: 7 1/2

Step-by-step explanation:

You want to add the improper fractions together: 3/2 + 5/2 + 7/2 = 15/2

Answer:

[tex]7x^{3}[/tex]

Step-by-step explanation:

Find the prime factor of each term to find the GCF. 7 is the GCF of both 21 and 28.

Answer:

the length of the diagonal is 10cm

Step-by-step explanation:

C²=8²+6²

C²= 64+36

C²=100

√C²=√100

C=10cm

Answer:

33 Pieces total

Step-by-step explanation:

Answer:

f(1) = 42

Step-by-step explanation:

Step 1: Switch all x out to 1 for f(1) which would look like this: f(1)=4(1)^2+3(1)+13

Step 2: You would then simplify it starting with 4(1)^2 which would equal 4 squared which equals 16.

Step 3: After simplifying you would have f(1)=16+3+13

Step 4: You then just add and get 42

Hope this helped :D

Answer:

Take the square root of each side of the equation to set up the solution for

x

(

3

x

−

5

)

2

⋅

1

2

=

±

√

19

Remove the perfect root factor

3

x

−

5

under the radical to solve for

x

.

3

x

−

5

=

±

√

19

The complete solution is the result of both the positive and negative portions of the solution.

Tap for more steps...

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

The result can be shown in multiple forms.

Exact Form:

x

=

√

19

3

+

5

3

,

−

√

19

3

+

5

3

Decimal Form:

x

=

3.11963298

…

,

0.21370035

…

The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The expression is,

⇒ (3x - 5)² = 19

Now,

We can simplify the expression for the solutions as;

⇒ (3x - 5)² = 19

Take square root both side,

⇒ √(3x - 5)² = √19

⇒ (3x - 5) = √19

Add 5 both side,

⇒ 3x - 5 + 5 = √19 + 5

⇒ 3x = √19 + 5

⇒ 3x = ± 4.36 + 5

⇒ 3x = 4.56 + 5

⇒ 3x = 9.36

Divide by 3;

⇒ x = 9.36 / 3

⇒ x = 3.12

And, 3x = - 4.56 + 5

3x = 0.64

x = 0.64/3

x = 0.21

Thus, The solutions of the of the equation are,

⇒ x = 3.12

⇒ x = 0.21

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ7

Answer:

a. east

b. 60 feet per second

Step-by-step explanation:

did this a while ago.

a. -180 is east, 120 is east. the car is traveling east because it is moving positive. read the last sentence of the description.

b. to calculate velocity you do time times position. in this case position is 60 and time is 1 so 60*1 is 60. so it is 60 feet per second.

Answer:

20 mi/gal

Step-by-step explanation:

310/ 15.5 = 20

Answer:

x = -6

Step-by-step explanation:

4x = 2(x-5)-2

2 * x = 2x

2*-5 = -10

4x = 2x - 10 -2

4x = 2x - 12

4x - 2x = 2x

2x = -12

-12/2 = -6

x = -6

Answer:

Give me a second, I just finished answering it, and trying to find a way to take a picture of it and send it to you.

Step-by-step explanation:

Answer:

14x14x14x14x14=14.5

Step-by-step explanation:

Step-by-step explanation:

hope it is helpful to you

Do you have any answer choices? That would help a lot.

Answer: -1, 1

Step-by-step explanation:

The other answer is valid.

Answer: 1.75=5n

Step-by-step explanation:

1.75 is being divided by n 5 times

Answer:

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

We can make an algebric equation.

2x+3x=90

5x=90

x=18

Since we wanna find the boys, we multiply the boys ratio with our x value.

2x=2•18=36 boys

Answer:

This is so because the higher the interest rate the lower the profit and the higher the total expenses and the percentage profit = (Profit/Expenses) × 100

Step-by-step explanation:

Question;

It is desired to find out the monthly percentage profit made to help decide the best loan option

Part A

Given that the monthly operating cost of the gym is 5,000 and the monthly sales is 7,500

Let 'I' represent the monthly interest paid on the loan, we have;

The percentage profit = Profit/(Total expenses) × 100

The total expenses = I + 5000

Profit = Sales - The total expenses

∴ Profit = 7,500 - (I + 5,000) = 2,500 - I

The percentage profit, P = (2,500 - I)/(5,000 + I) × 100

Therefore, as the interest rate becomes smaller, the numerator of the function for the percentage profit approaches its maximum value of 2,500 and the denominator approaches the minimum value of 5,000 and the percentage profit therefore, approaches the maximum value

Therefore;

The highest percentage profit occurs at the smallest interest rate.

Answer:

65.5

Step-by-step explanation:

Using the relation :

Xbar ± Margin of error

Margin of Error = Zcritical * s/√n

The Zcritical value at 95% = 1.96

Hence,

Margin of Error = 1.96 * 2.5/√60

Margin of Error = 1.96 * 0.3227486

Margin of Error = 0.6326

Lower boundary = 65.5 - 0.6326 = 64.867

Upper boundary = 65.5 + 0.6326 = 66.133

(64.867 + 66.133) / 2

Answer:

343pi^3

Step-by-step explanation:

Volume of a cone = 1/3(nr^2h)

n = 22/7

r = radius  

h = height

Base area = area of a circle

Area of a circle = πr²

49 pi = πr²

r² = 49

r = 7

h = 7 x 3 = 21

volume = 1/3 x 21 x 7^2 = 343pi