How do you rewrite 6^6*6^-2*6^5 using each base only once

Answer:

(2, - 4 )

Step-by-step explanation:

Given the 2 equations

10x + 7y = - 8 → (1)

7x + 7y = - 14 → (2)

Subtract (2) from (1) term by term to eliminate y

(10x - 7x) + (7y - 7y) = - 8 - (- 14) , that is

3x = 6 ( divide both sides by 3 )

x = 2

Substitute x = 2 into either of the 2 equations and solve for y

Substituting into (1)

10(2) + 7y = - 8

20 + 7y = - 8 ( subtract 20 from both sides )

7y = - 28 ( divide both sides by 7 )

y = - 4

solution to the system of equations is (2, - 4 )

Complete Question:

Complete each equation, so the statement about its solution is true.

No solutions:

6-3+4x+1= __x + __

One solution:

6-3+4x+1= __x + __

Infinitely many solutions:

6-3+4x+1 = __x + __

Answer:

[tex]4 + 4x = 4x + 3[/tex] --- No solution

[tex]4 + 4x = 3x + 2[/tex] --- One solution

[tex]4 + 4x = 4 + 4x[/tex] --- Infinitely Many solution

Step-by-step explanation:

Solving (a): No solutions

6-3+4x+1= __x + __

Collect like terms

6-3+1+4x= __x + __

4+4x= __x + __

To get no solution, the coefficient of x on both sides must be the same. However, the constant must be different.

So, we can equate the expression to:

[tex]4 + 4x = 4x + 3[/tex]

Solving (b): One solution

6-3+4x+1= __x + __

This gives (same as (a))

4+4x= __x + __

To get one solution, the coefficient of x on both sides must be different. The constant can have any value.

So, we can equate the expression to:

[tex]4 + 4x = 3x + 2[/tex]

Solving (c): Infinitely many solutions

6-3+4x+1= __x + __

This gives (same as (a))

4+4x= __x + __

To get infinitely many solutions, both sides of the equation must be equal.

So:

[tex]4 + 4x = 4 + 4x[/tex]

Answer:

2 50ml bottles

Step-by-step explanation:

Reading through the question, we have:

For 80mL

[tex]C_1 = \pounds 55[/tex]

For 2 50mL bottles.

The cost is calculated by the original cost + half the original cost.

i.e.

[tex]C_2 = \pounds 45 + \frac{1}{2} * \pounds 45[/tex]

[tex]C_2 = \pounds 45 + \pounds 22.5[/tex]

[tex]C_2 = \pounds 67.5[/tex]

Next, is to calculate the unit price of each.

For 80mL

[tex]C_1 = \pounds 55[/tex]

[tex]Unit\ price = 55/80[/tex]

[tex]Unit\ price = 0.6875[/tex]

For 2 50mL bottles.

[tex]C_2 = \pounds 67.5[/tex]

[tex]Unit\ price - 67.5/(2 * 50)[/tex]

[tex]Unit\ price = 67.5/100[/tex]

[tex]Unit\ price = 0.675[/tex]

By comparison, the 2 50mL is the best buy because it has smaller unit price

Answer:

(10,4)

Step-by-step explanation:

5 would change to 10 and 4 would stay

Step-by-step explanation:

The equation is given as;

−4(x−3)=20

Gwendolyn's flaw is in the following lines;

−4x + 12 = 20

−4x = 32

When collecting like terms, the moment 12 crosses over, it becomes - 12 and not + 12

The correct solution is given as follows;

Step 1: Expand the brackets

This results to;

- 4x - (-4 * 3) = 20

-4x + 12 = 20

Step 2: Collect like terms

This results to;

- 4x = 20 - 12

- 4x = 8

Step 3: Solve for x

x = 8 / (-4)

x = -2

Answer:

9:3

Step-by-step explanation:

Please find attached the information required to answer this question

From the upper right corner, there are 8 people who do not like reading.

On the lower right corner of the table, there is 1 one person who does not like reading and playing video games

On the lower left corner, there are two people who do not like playing video games.

The total number of people who do not like reading = 8 + 1 = 9

The total number of people who do not like playing video games = 2 + 1 = 3

= 9 : 3

Answer:

(3, 5)

Step-by-step explanation:

Answer:

Step-by-step explanation:

kjhm,,

Answer:

6

Step-by-step explanation:

3/4*8=6

The requried number of Ruth filled with soda is 6 cups.

The ratio can be defined as the comparison of the fraction of one quantity towards others. e.g.- water in milk.

Here,

To find the number of cups Ruth filled with soda, we need to divide the amount of soda she poured into cups by the amount of soda in each cup.

Ruth poured 1/8 liter of soda into cups. To convert this to cups, we need to know that 1 liter is equal to 4 cups. So, 1/8 liter is equal to:

(1/8) x 4 cups = 0.5 cups

Ruth has 3/4 liters of soda in her refrigerator, which is equal to:

(3/4) x 4 cups = 3 cups

So, the number of cups Ruth filled with soda is:

= 3 / 0.5
= 6 cups

Thus, the requried number of Ruth filled with soda is 6 cups.

Learn more about Ratio here:

brainly.com/question/13419413

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Answer:

33 Cm

4x6 is 24

to find the top (triangle) You have to use A= height and base divided by 2.

Basically multiply like a square and divide by two

For the explanation I multiplied 6 by 4 (24 Cm) for the first part and then multiplied (3x6)/2 (9 Cm) for the second part giving me a total of 33 Cm.

Answer:

[tex]x = 27[/tex]

Step-by-step explanation:

Given

The attached figure

Required

Solve for x

3x and 45 are supplementary angles

So:

[tex]3x + 45 = 180[/tex]

[tex]3x =- 45 + 180[/tex]

[tex]3x =135[/tex]

Solve for x

[tex]x = 135/5[/tex]

[tex]x = 27[/tex]

Answer:

a) 8.4 kilometers

Step-by-step explanation:

21 kilometers ÷ 5 hours = 4.2 kilometers per hour

4.2 kilometers x 2 hours = 8.4 kilometers

minimum is: (8,5)

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if you ever need help you can use a source that has a caculator.

Answer:

Step-by-step explanation:

answer = 1/2 r + m

m = 7

r = 8

answer = 1/2 * 8 + 7

answer = 4 + 7

answer = 11

If sin θ= 4/5 and theta is in quadrant 2, the cot θ would be -3/4.

In first quadrant (0 < θ < π/2), all six trigonometric functions are positive.

In second quadrant(π/2 < θ < π), only sin and cosec are positive.

In the third quadrant (π < θ < 3π/2), only tangent and cotangent are positive.

In fourth (3π/2 < θ < 2π = 0), only cos and sec are positive.

Given information; If sin θ= 4/5 and theta is in quadrant 2, we need to find the value of cot theta.

Since it’s in second quadrant, cos is going to be negative.

So, a^2 + 4^2 = 5^2

a^2 + 16 = 25

a^2 = 25 - 16 = 9

a = 3

therefore, we can conclude that cos θ = base / hypotenuse

cos θ =-3/5

Also, tan θ  would be -4/3 and then cot θ  would be -3/4.

Learn more about trigonometric ratios here:

https://brainly.com/question/22599614

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Answer:

x = 180

∠DBC = 23

∠ABC = 157

Step-by-step explanation:

A straight line is always 180 degrees

A to D line = 180

6x + 19 + x = 180

7x + 19 = 180

      -19     -19

7x = 161

/ 7     / 7

161 /7 = 23

x = 23

Then plug it in

6x + 19

6 ( 23 ) + 19 = 157

x

x = 23

Hope this helps !

Answer:

202.5 calories

Step-by-step explanation:

y = 4.5x  where y is the calories burned and x is the minutes

Let x = 45 minutes

y = 4.5 * 45

y =202.5 calories

Answer:

The average person burns 375 – 475 calories per hour kayaking.

The number of calories burned kayaking depends on your weight, the distance and speed you kayak, and difficulty of terrain. A 200-pound (90.8kg) person will burn 477 calories per hour kayaking with moderate effort. A 150-pound person will burn 358 calories per hour with the same activity.

Step-by-step explanation:

3)      13(G)=143

4)      8.30-235=C

5)         T+3/5=36  

i dont know  if 5 is right but i tried

Answer:

a function

Step-by-step explanation:

trust the process

Answer: you cannot

Step-by-step explanation:

being divorced and making golf courses aren't directly related

Answer:

I think it’s 360

Step-by-step explanation:

Answer:

x is more than or equal to 9

Step-by-step explanation:

The dot is closed.

Answer:

6 desserts

Step-by-step explanation:

3/4 is equal to 6/8, if you use 1/8 for each dessert you will have 6

Answer:

25.04

Step-by-step explanation:

The answer is 25.04 (someone just deleted my answer so i'm just doin it again)

Answer:

the value of x is 9

Step-by-step explanation:

Answer:

14 crayons

Explanation:

Once you divide the remainder is 14 so you add 14