Trish had a square garden with side lengths of 8 feet. She expanded her garden to 10 feet by 8 feet. By how many square feet did she expand the area of her garden?

let number be x

1/6x - 1/12x= 4

1/12x=4

cross multiply

x= 12 x 4

x= 48

If one-sixth of a certain number is four more than one-twelfth the number, the required number will be 48.

Let the unknown number be 'a'

One-sixth of the number is expressed as 1/6 a ..... 1

One-twelfth the number is also expressed as 1/12 a

Four more than one-twelfth the number will be written as:

1/12 a + 4 .... 2

Equating 1 and 2 will give:

1/6 a = 1/12 a + 4

a/6 = a/12 + 4

Collect the like terms

[tex]\frac{a}{6} - \frac{a}{12} = 4[/tex]

Find the LCM

[tex]\frac{2a-a}{12} = 4\\\frac{a}{12} = 4[/tex]

Cross multiply

a = 12×4

a = 48

This shows that the required number is 48

Learn more on equations here: https://brainly.com/question/14034270

Answer:

252 cm^3

Step-by-step explanation:

The volume of a rectangular prism is denoted by the formula:

V = lwh

We can substitute in the values to get:

V = 7 x 12 x 3

V = 252 cm^3

Answer:

for the empty box in the -4 column put -8 and for the empty box in the 6x column put -18

Answer:

When the dimensions of the shape, such as radius, height, or length change, both surface area and volume also change. However, the volume of the object always changes more than the surface area for the same change in dimensions.

Answer:

the answer is E. none of the above

Answer:

32+24 = 56

Step-by-step explanation:

Answer:

Ok

Explanation:

Answer:

Step-by-step explanation:

Answer:

70%

Step-by-step explanation:

there is 10 and 7 of them are filled which is 7/10 since we are dealing with percentages we need the bottom to be 100 so 70/100 or 70%

- Gage Millar, Algebra 2 tutor

Answer:

Below

Step-by-step explanation:

I would say 70%

It is split up into 10 parts, 7 are shaded,

7 to 10 would be as 70% is to 100%

Answer:

1.6$

Step-by-step explanation:

6.4/4=1.6

Answer: C

Because if you put then in order(1,3,3,4,9) you will see that once you cross them off the last one will be 3 which would be the median and the answer.

Answer:

26

Step-by-step explanation:

Answer:

[tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex]

Step-by-step explanation:

According to the statement, we have the algebraic equation[tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] and we must to rewrite it as a polynomial. Since there are two variables: [tex]a[/tex], [tex]y[/tex], we must observe the following definition of polynomial:

[tex]p(a, y) = \Sigma\limits_{i = 0}^{n} c_{i}\cdot a^{i}\cdot y^{n-i}[/tex] (1)

Where:

[tex]i[/tex] - Index.

[tex]c_{i}[/tex] - i-th Coefficient of the polynomial.

[tex]n[/tex] - Grade of the polynomial.

By means of algebraic handling, we have the following result:

1) [tex]\frac{2}{7}\cdot {a^{2}\cdot y^{2}}\cdot \left(5\cdot a\cdot y^{2} - \frac{1}{2}\cdot {a}^{2}\cdot y - \frac{5}{6}\cdot a^{3}\right)[/tex] Given

2) [tex]\left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(5\cdot a\cdot y^{2}\right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right) \cdot \left(-\frac{1}{2}\cdot a^{2}\cdot y \right) + \left(\frac{2}{7}\cdot a^{2}\cdot y^{2} \right)\cdot \left(-\frac{5}{6}\cdot a^{3}\right)[/tex] Associative and distributive properties/[tex](-a)\cdot b = -a\cdot b[/tex]

3) [tex]\frac{10}{7}\cdot a^{3}\cdot y^{4} - \frac{1}{7}\cdot a^{4}\cdot y^{3} - \frac{5}{21}\cdot a^5\cdot y^{2}}[/tex] Associative and commutative properties/[tex]\frac{a}{b}\times \frac{c}{d} = \frac{a\cdot c}{b\cdot d}[/tex]/[tex](-a)\cdot b = -a\cdot b[/tex]/Definition of subtraction/[tex]\frac{a\cdot c}{b\cdot c} = \frac{a}{b}[/tex]/Result

Answer:

A

Step-by-step explanation:

Answer:

The surface area of the parallelogram is;

2x^3 -6x^2 - 14x +24 squared centimeters

Step-by-step explanation:

To get the area of the parallelogram, we need to multiply the base length of the parallelogram by the height of the parallelogram

We have this as follows;

(x-4)(2x^2+2x-6)

= x(2x^2 + 2x-6) -4(2x^2 + 2x-6)

= 2x^3 + 2x^2 - 6x -8x^2 -8x + 24

= 2x^3 +2x^2 -8x^2 -6x-8x+24

= 2x^3 -6x^2 - 14x +24

i can't see the 4th option but from what i can see, i'd say 20 (b).

i didn't do math for this, i just used context clues.

the hypotenuse is always longer than either of the sides, so if the hypotenuse is 29, then the only logical solution is 20 feet. every other option is >29.

Answer:

Hello! answer: 20 feet

Step-by-step explanation:

29 × 29 = 841 21 × 21 = 441 841 - 441 = 400 √400 = 20 20 × 20 = 400 therefore 20 is the answer Hope that helps!

Answer:

252

Step-by-step explanation:

Answer:

2.4 x 10²

Step-by-step explanation:

1.44/6 x 10^8-5 = .24 x 10³ which is 240

Answer:

1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/ total = 3/6

simply 1/2

Step-by-step explanation:

total marbles 6

white marbles 3

white marbles/total =3/6

simply 1/2

Step-by-step explanation:

$325x240acres

=$78000

Step-by-step explanation:

[tex] {2x}^{2} + 8x - 1 = 0 \\ {x}^{2} + 4x - \frac{1}{2} = 0 \\ {x}^{2} + 4x + {( \frac{1}{4} )}^{2} - \frac{1}{2} - { (\frac{1}{4} )}^{2} = 0 \\ {(x + \frac{1}{4}) }^{2} - \frac{9}{16} = 0 \\ {(x + \frac{1}{4}) }^{2} = \frac{9}{16} \\ x + \frac{1}{4} = ±( \frac{ 3}{4} ) \\ x = \frac{1}{2} \: or \: - 1[/tex]

Answer:

Step-by-step explanation:

divide each term by 2 to begin with x²

x² + 4x - 1/2 = 0

now add 1 to each side

x² + 4x = 1/2

now divide 4 in half and square the result and add it to each side

x² + 4x + 4 = 1/2 + 4

(x + 2)² = 9/2

Answer:

maybe 2 minutes?

Step-by-step explanation:

not sure im so sorry!

Answer:

you on iready?

Step-by-step explanation:

Answer:

Can you reattac the picture because I can’t see it then I will be able to help u

Step-by-step explanation:

It would be 20 hours

Step-by-step explanation:

let me know if I am wrong thxs

Answer:

x=41

Step-by-step explanation:

so since this is a right triangle you can use the Pythagorean Theorem to find the missing side. the two sides you know are 'a' and 'b' and the missing side is 'c'. the theorem says that:

a^2+b^2=c^2

so:

9^2 +40^2=c^2

solve for the exponents:

81 +1600=c^2

1681=c^2

and now, since 1681 is the missing side's length squared, we must find the square root of 1681, which is 41

hope this helps :)

Answer:

21 is 75% of 28

Step-by-step explanation:

75% = 0.75

28(0.75) = 21

Answer:

Emily is solving the following system of equations using substitution:

y = 3x - 4

y = 2x + 1

Part A:

After substituting y's values:

3x - 4 = 2x + 1

What she did:

3x - 4 = 2x + 1

3x + 2x - 4 = 1

5x - 4 = 1

What she should have done:

3x - 4 = 2x + 1

3x - 2x - 4 = 1

x - 4 = 1

Part B:

This rule has not been followed: Sign changes when numbers shift from left to right of ' = 'sign.

Emily did not changed the sign of the number, 2x from + 2x to - 2x when it was moved from the right side to the left.

[tex][/tex]