Solve for x. Show all your work to receive full credit.

[tex]\boxed{\sf a^m\times a^n=a^{m+n}}[/tex]

[tex]\boxed{\sf a^m\div a^n=a^{m-n}}[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times( 3^4\div 3^0)^2[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times (3^{4-0})^2[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times 3^{4(2)}[/tex]

[tex]\\ \sf\longmapsto 3^{-6}\times 3^8[/tex]

[tex]\\ \sf\longmapsto 3^{-6+8}[/tex]

[tex]\\ \sf\longmapsto 3^2[/tex]

Answer:

[tex] {3}^{2} [/tex]

Step-by-step explanation:

[tex] {3}^{ - 6} \times ( {3}^{4} \div {3}^{0} {)}^{2} [/tex]

[tex] {3}^{4} \div {3}^{0} = {3}^{4 + 0} = {3}^{4} [/tex]

[tex] {3}^{ - 6} \times ( {3}^{4} {)}^{2} [/tex]

[tex]( {3}^{4} {)}^{2} = {3}^{4 \times 2} = {3}^{8} [/tex]

[tex] {3}^{ - 6} \times {3}^{8} = {3}^{ - 6 + 8} = {3}^{2} [/tex]

[tex] \boxed{\green{= {3}^{2} }}[/tex]

Answer:

30 gallons solution 4% and 10 gallons solution 8%

Step-by-step explanation:

4x+8y=40•5 and x+y=40

x=40-y

4(40-y)+8y=200

160-4y+8y=200

4y=200-160

4y=40 => y=10 (gallons solution 8%)

=> x=40-10=30 (gallons solution 4%)

30 gallons solution 4% and 10 gallons solution 8%

Answer:

[tex]\boxed {\boxed {\sf y= -4x -3}}[/tex]

Step-by-step explanation:

We are asked to find the equation of a line given a point and the slope. We will use the point-slope formula.

[tex]y-y_1= m(x-x_1)[/tex]

In this formula, m is the slope and (x₁, y₁) is the point the line passes through. The slope of this line is -4 and the line passes through (-2,5).

Substitute the values into the formula.

[tex]y-5 = -4 (x--2)[/tex]

[tex]y-5 = -4 (x+2)[/tex]

We are finding the equation of the line, so we should find the slope-intercept form or y=mx+b ( where m is the slope and b is the y-intercept).We must isolate the variable y on one side of the equation.

First, distribute the -4 on the right side of the equation. Multiply each term inside the parentheses by -4.

[tex]y-5=( -4 *x ) + (-4* 2 )[/tex]

[tex]y-5 =(-4x)+ (-8)\\y-5= -4x -8[/tex]

5 is being subtracted from y. The inverse operation of subtraction is addition, so we will add 5 to both sides of the equation.

[tex]y-5 =-4x -8 + 5[/tex]

[tex]y= -4x -3[/tex]

The equation of the line is y= -4x -3. The slope of the line is -4 and the y-intercept is -3.

Answer:

$0.25

Step-by-step explanation:

Divide the cost by the amount.

[tex]\frac{3}{12}=0.25[/tex]

Therefore, the cost of each chocolate bar is $0.25.

Answer:

option c is correct answer

Answer:

Use bodmas Brackets Of devision Maltiplication Addition Subtraction(Whichever comes first) So do whats in brackets first the divide if needed multiply if needed and subtract/add if needed

Step-by-step explanation:

So i can only see 2+8 which is 10

Answer:

D is right answer

Answer:

[tex]4y + 6y = 90 \\ 10y = 90 \\ y = 9 \\ thank \: you[/tex]

Answer:

8 m/s²

Step-by-step explanation:

[tex]F=m*a\\\\70=m*7 \longrightarrow\ m=10 (kg)\\\\80=10*a\longrightarrow\ a=\frac{80}{10}=8(m/s^2)\\[/tex]

Answer:

Acceleration is 8 m/s²

Step-by-step explanation:

Force = mass × acceleration

[tex]{ \sf{F = m \times a}} \\ { \sf{70 = m \times 7}} \\ { \sf{m = 10 \: kg}}[/tex]

» mass is 10 kg

when force is 80N:

[tex]{ \sf{F = m \times a}} \\ { \sf{80 = 10 \times a}} \\ { \sf{a = \frac{80}{10} }} \\ \\ { \sf{a = 8 \: {ms}^{ - 2} }}[/tex]

Answer:

$15.92

Step-by-step explanation:

3.98•4=15.92. You need 4 doxes so 5 students aren't left out.

Answer:

20 feet 7 inches

Step-by-step explanation:

We can separate the fractions and wholes for the minute. 6+7+6= 19

Then we can go on to the fractions a foot is 12 inches. We are given the fractions 1/4, 1/2, &5/6.

1/4 of 12 is 3 as 12 divided by 4 is 3. (3 inches)

1/2 of 12 is 6 as 12 divided by 2 is 6 . ( 6inches)

5/6 of 12 is 10 as 12 divided by 6 then multiplied by 5 is 10. (10 inches)

Because it'd be a bit weird to provide the answer 9 feet and 19 inches we have to convert the 19 inches from the fractions to feet. Since one foot is 12 inches we know that we can take one foot from the 19 inches from the fractions provided with 7 inches left. With that, the final answer is 10 feet and 7 inches.

Open for more questions, comments, concerns, or critiques ( there are most likely grammatical errors)

Answer:

Step-by-step explanation:

The perimeter of this garden is the sum of the lengths of its three sides:

6.25

7.50

+6,833

-----------

20.583 feet

This could and should be rounded off to 2 decimal places:   20.58 ft

or to a mixed fraction:  20 7 1/12 ft

Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h

Answer:

a+b=2

Step-by-step explanation:

start by combining all the terms that are possible: (a+b)^2 - 4 = 0

move -4 to the other side:  (a+b)^2= 4

Find the square root of both sides: a+b=2

Answer:

47 minutes

Step-by-step explanation:

Answer:

By adding

please mark me brainliest

Answer:

16 units squared

Step-by-step explanation:

shape: square (ALL equal sides)

length: 4

width: 4

4 X 4 = 16

Answer:

2 with the sqaure root of 12 is = 6.9     simp =  6.9

4 with the sqaure root of 10 is = 12.6    simp= 12.6

sum = 19.5

I hoped this helped! :)

Answer:

191.829

Step-by-step explanation:

191.007+0.8215=191.8285. But since you want to round it to the nearest thousandths place, you have 191.829

Answer:

191.8290

Step-by-step explanation:

191.007 + 0.8215 = 191.8290

0.8215

0.0097

+______

0.8285

then add 191. to .8285, creating 191.8285, then rounding to the nearest thousandths, and in this case the thousandths is a 5, which means we always round up. That gives us 191.8290.

p.s. there's no need for the zero at the end

Answer:

brainliest is appreciated

Answer:

is there an equation we are suppose to use?

Step-by-step explanation:

Answer:

32 days

Step-by-step explanation:

2 days = 16km

1 day = 8km

256km÷8km=32 days

Answer:

3y+x

Step-by-step explanation:

commutative property :

a+b=b+a

Similarly:

x+3y=3y+x

Answer:

[tex]we \: know \: that \: commutative \: \\ prop \: is \: x + y = y + x \\ so \: x + 3y = 3y + x \\ \\ thank \: you[/tex]

Answer:

X= 12

Step-by-step explanation:

Divide 27/3= 9

Multiply 3 from both sides: x-3/-3 * 3 = 9 *3- x  * 3

Simplify: -(x-3) =27-x*3

2x=24

Divide 2 from both sides: 2x/2= 24/2

x=12

Answer:

polynomials are written in descending order.

A (-2,6)

B (7,3)

C (0,4)

You just have to move them in that direction and that's the answer

Answer:

First, solve what is in the parentheses of the function. Next, solve the exponents. This includes normal exponents, negative exponents, square roots, cube roots, etc. After that, multiply and divide, and finally, add and subtract the remaining equation.

Answer:

The latest time she can leave is 6:56 A.M.

Step-by-step explanation:

Just trust me. :)

Answer:

√ 3

Step-by-step explanation:

2√3 + 3√ 3 - 4√ 3

5√3 - 4√ 3

1√3

=> √ 3

Answer:

→ 2√3 + 3√3 - 4√3

= (2+3-4)√3

= (5-4)√3

= √3

Therefore, √3 is the right answer.

Answer:

6 centimeters

Step-by-step explanation:

Square E'F'G'H' is just square EFGH translated to the left.

It is still the same size, just in a different location.

Line segment EF is the same length as segment E'F'.

6 centimeters

The segment [tex]E'F'[/tex] is 6 centimeters long.

According to this question, Reynaldo created a new square with same dimensions of the former one by translating it 4 centimeters to the left, which means that line segments EF and E'F' have the same length. Let suppose that no further operations have been done.

If [tex]EF = 6\,cm[/tex], then [tex]E'F' = 6\,cm[/tex] because of translation. In other words, the segment [tex]E'F'[/tex] is 6 centimeters long.

We kindly invite you to check this question related to translation of squares: https://brainly.com/question/12891664