Michael bought 4% pounds of soil. He used 1% pounds of soil in a pot for
his tomatoes and used % pound of soil in a pot for his basil plant.
1. What is the Least Common Denominator for the amount of soil Michael
used for planting tomatoes and basil plants?
Question 2
1 pts

[tex] \bf{= \frac{64 {x}^{3} - 1 }{4x - 1} }\\ \\ \bf{= \frac{( \cancel{4x - 1})(16 {x}^{2} + 4x + 1) }{ \cancel{4x - 1}}} \\\\ \bf{= 16 {x}^{2} + 4x + 1}[/tex]

Answer:

[tex]16x^2+4x+1[/tex]

Step-by-step explanation:

Given expression:

[tex]\dfrac{64x^3-1}{4x-1}[/tex]

Factor the numerator of the given expression.

Rewrite 64 as 4³ and 1 as 1³:

[tex]\implies (4^3)x^3-1^3[/tex]

[tex]\textsf{Apply the exponent rule} \quad a^b \cdot c^b=(ac)^b:[/tex]

[tex]\implies (4x)^3-1^3[/tex]

[tex]\textsf{Apply the Difference of Cubes Formula} \quad x^3-y^3=\left(x-y\right)\left(x^2+xy+y^2\right):[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left((4x)^2+4x(1)+(1)^2\right)[/tex]

[tex]\implies (4x)^3-1^3=(4x-1)\left(16x^2+4x+1\right)[/tex]

Replace the numerator in the given expression with the factored numerator from step 1:

[tex]\implies \dfrac{64x^3-1}{4x-1}=\dfrac{(4x-1)\left(16x^2+4x+1\right)}{4x-1}[/tex]

Cancel the common factor (4x - 1):

[tex]\implies 16x^2+4x+1[/tex]

Answer:

The decimal form of this rational number is .

Step-by-step explanation:

a) Let  a rational number. From statement we understand that  represents the numerator, while  corresponds with the denominator of the rational number. Hence,  is 3 and  is 11.

b) The decimal form is obtained by dividing  by , we presented the step needed to determine the decimal form:

i) Multiply the numerator by 10:

Dividend: 30/Divisor: 11/Known result: 0. /Residue: N/A

ii) Multiply the divisor by 2 and subtract from the dividend:

Known result: 0.2 /Residue: 8

iii) Multiply the residue by 10:

Known result: 0.2 /Residue: 80

iv) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.27 /Residue: 3

v) Multiply the residue by 10:

Known result: 0.27 /Residue: 30

vi) Multiply the divisor by 2 and subtract from the residue:

Known result: 0.272/Residue: 8

vii) Multiply the residue by 10:

Known result: 0.272 /Residue: 80

viii) Multiply the divisor by 7 and subtract from the residue:

Known result: 0.2727/Residue: 3

We have notice that the decimal form of  is a periodical decimal number. Hence, we conclude that decimal form of this rational number is .

Answer:

Based on the information given, the scale

that's used by Harry for drawing the schoolyard will be 1:7000.

Firstly, it should be noted that

meter = 1000 milliliters

Therefore, 154 meters = 154,000

millimeters

Since the schoolyard is 154 meters long in real life but is 22 millimeters long in the

drawing, then the scale will be:

= 22/154000

= 1/7000

Answer:

21

Step-by-step explanation:

Answer:

a. 20 - (4 ⋅ 3)

Step-by-step explanation:

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction

Please note that multiplication 4 ⋅ 3 will happen before the subtraction -

If we add parentheses, we introduce a new "order". But if the parentheses are around the first operation we perform, the order stays the same!

This means that answer a. must be correct.

We verify:

20 − 4 ⋅ 3 = 20 - 12 = 8

a. 20 − (4 ⋅ 3) = 20 - 12 = 8

b. (20 − 4) ⋅ 3 = 16 ⋅ 3 = 48

c. 20 + 4 − 3 = 21

d. 20 ⋅ 4 − 3 = 80 - 3 = 77

Answer: A: 20 - (4 x 3)

Step-by-step explanation:

In the end, the final answer is 8, so we need to see which one of these options give us 8. As seen, we first must solve the multiplication, and the first option, A, solves the multiplication first because it is in parenthesis, which gives us 8, so the correct answer is A.

Answer:

-9-3 i think

Step-by-step explanation:

THE BLUE ONE LOOKS LIKE ITS POINTING AT THE RED ONE

Answer:

1.35

Step-by-step explanation:

Unfortunately you are wrong, the correct way to evaluate this problem…

We know 2/3 is 6.6 repeating

So if we do 9 divided by 6.6

We would get 1.35

Also I don’t know how your teacher want you to evaluate, but -27/3 can become a mixed number (9) which is obviously incorrect because 9 divided by a decimal lower that 1 is going to be a decimal lower than one.

Answer:

The trinomial is not factorable with rational numbers but can be answered using the quadratic formula : (-b±√(b^2-4ac))/2a. The answer would be 1 ± (plus or minus) [tex]\sqrt{3} \\[/tex] (radical 3).

Step-by-step explanation:

I recommend studying the quadratic formula and remembering it. It can ALWAYS be used to solve any quadratic, rationally factorable or not. When in doubt with completing the square or factoring, fall back on the quadratic equation.

Answer:

Step-by-step explanation:

For cullen he did the first part wrong:

-6n +22 =-4n + 14

+4n          +4n

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

-2n+22=14  correct solution

not equal to -10n +22=14

=======================================

for Seraphina she did the 3rd part wrong:

11.6y = 23.2

------     ------

11.6      11.6

y=2 correct solution

not equal to y=11.6

=========================================

for Jasper he also did the 3rd part wrong:

1/8b= 64

x8      x8

b=512 is the correct answer

not equal to b=8

Hope this helps :)

Answer:

Step-by-step explanation:

S = 3, -3 T = 3, 7 U = 10, 7 V = 10, -3

Answer:13870

Step-by-step explanation: 38 years old

1 year has 365 days

365 days x 38 years = 13870 days old

Answer:-15n?????

Step-by-step explanation:

Answer: The answer is -3N=-8

Answer:

1

Step-by-step explanation:

(2^3 x 2^-1) / 2^2

First, solve what's in the parentheses remembering that when two exponents have the same base and are being multiplied together, their exponents add together:

3 + (-1) = 2

(2^2) / 2^2

And when two exponents with the same base are being divided by each other, the exponents subtract:

2 - 2 = 0

(2^0)

And any number to the power of 0 equals 1:

(2^0) = 1

Hope this helps!

Answer:

7 − (6 ⋅ 3) + 2

Step-by-step explanation:

7 − 6 ⋅ 3 + 2

PEMDAS says we need to multiply before we add and subtract

7 − (6 ⋅ 3) + 2

Answer:

$1,768

Step-by-step explanation:

We know that Theresa's Book Barn sold $10347 worth of books in September, and $12,115 in October. Since we want to know how much higher the sales were in October than in September, we would have to subtract.

So, we would have to subtract the two numbers.

  12,115
- 10,347
    1768

Subtracting the two numbers gives us $1,768, which is the difference.

I hope this was semi-helpful-

Hello!

Inequality: [tex]-1.2z-8.2 > -9.7[/tex]

To solve, we need to add 8.2 to both sides of the inequality:

[tex]-1.2z-8.2+8.2 > -9.7+8.2\\-1.2z > -1.5[/tex]

Now to get our solution, we will need to divide both sides by -1.2:

[tex]\frac{-1.2z}{-1.2} > \frac{-1.5}{-1.2}\\[/tex]

Final answer:

[tex]\fbox{z} < \fbox{1.25}[/tex]

Hope this helps!

Answer: hundreds or hundredths?

Step-by-step explanation:

Assuming you're rounding to the hundreds place, you should round your first number to 5,300.

Second number rounds to 45,500.

Third number rounds to 7,500.

Fourth number rounds to 500.

Answer:

Step-by-step explanation:

Answer:A

Step-by-step explanation:

This would be the easies to understand in my opion so that is what i would use try this one. Can i get a brainliss??????

Answer:

Triangles are congruent if their corresponding sides are congruent using SSS postulate.

Answer:

Step-by-step explanation:

Triangles are congruent if their corresponding sides are equal.  If this is the case, each side of one triangle is matched perfectly by the corresponding side of the other triangle.

Answer:

$17

Step-by-step explanation:

soccer balls=x

basketballs=2x

8(x)+2(2x)=204

12x=204

x=17

$17 per soccer ball

Answer:

15/24 or 5/8 inches each week

Explanation and Checking part below :)

Step-by-step explanation:

3 3/4 ÷ 6

1. Turn the mixed number into an improper fraction.

15/4 ÷ 6/1

2. Use the KCF (keep,change,flip) method (multiply the reciprocal).

15/4 × 1/6 = 15/24

3. Simplify if needed to.

15/24 ----> simplified is 5/8

Check:

5/8 × 6 = 30/8

30/8 = 3 6/8 -----> Simplified to 3 3/4

Answer:

-20/21

Step-by-step explanation:

-4/7 x 20/12

-4/7 x 5/3

= -20/21

Answer:

[tex]5.45 * 100000[/tex]

Other:

[tex]545000[/tex]

1 feet = 12 inches

Note : We just need to judge whether it accords with "y = kx"

{Proportional relationship}

Answer:

[tex] \sf \: x=108[/tex]

Step-by-step explanation:

3=x/36

Step 1: Multiply both sides by 36.

3=x/36(3)*(36)=(x/36)*(36)

108=x

Step 2: Flip the equation.

x=108