MATHEMATICS MIDDLE SCHOOL

If 9^x-9^x-1=24, then find the value of (6x)^x

Answers

Answer 1

Answer: 9^x-9^x-1=24

so
(6x)^x is (6 X 0)^0 = 0 (ANS)

is the ans 0 or 1

Answer 2

Answer:

Answer: 0 or 1

Step-by-step explanation:

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PLZZZZZZ HELP ME !!!! I’ll give 35 points !!! Solve the following system of equations graphically on the set of axes below.y = 3x – 8y = -x – 4
A students claims that 8 to the 3rd power and 8 to the negative 5th power is greater than 1. Explain whether the student is correct or not.

How would I write these problems?

Answers

21) Total number of cups: 26

6) Solution of the equation: x = -12

7) Father's age: 40

4) Distance driven: 400 miles

Step-by-step explanation:

21)

Let's call:

$h=10 cm$ the height of each cup

$H=30 cm$ the total height available in the dispenser

We are told that each cup added to the stack add a height of

$\Delta h = 0.8 cm$

We can therefore solve the problem by writing the following equation:

$H=h+N\Delta h$

which means that the total height available (H) is filled by the height of one cup (h) + the number of additional cup multiplied by 0.8.

Solving for N:

$N=(H-h)/(\Delta h)=(30-10)/(0.8)=25$

And including the first cup, the total number of cups is

$N+1=25+1=26$

The equation that we have to solve is

$(5)/(2)x-1=-31$

We proceed as follows:

First of all, we add +1 on both sides of the equation,

$(5)/(2)x-1+1=-31+1\n(5)/(2)x=-30$

Now we multiply by 2 on both sides:

$(5)/(2)x\cdot 2=-30\cdot 2\n5x=-60$

And now we divide both sides by 5:

$(5x)/(5)=(-60)/(5)\nx=-12$

Let's call:

k = Karma's age

f = father's age

We are told that Karma is 13 years old, so

k = 13

Also, Karma's age is 2 years less than 3/8 of the father's age, so we can write

$k=(3)/(8)f-2$

By combining the two equations,

$13=(3)/(8)f-2$

And solving for f, we find:

$(3)/(8)f=13+2\n(3)/(8)f=15\n3f=15\cdot 8 =120\nf=(120)/(3)=40$

So, the father's age is 40.

Let's call:

T = 16 the total volume of the tank (16 gallons)

We also know that the car burns 0.03 gallons per mile, so the amount of fuel consumed after x miles is

$0.03 x$

This means that the amount of fuel left after x miles is

$16-0.03x$

We also know that the amount of fuel left is 4 gallons, therefore:

$16-0.03x=4\n0.03x=16-4\n0.03x=12\nx=(12)/(0.03)=400$

So, 400 miles.

Learn more about equations:

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Kailey wants to buy 4 pencils and 3 notebooks.witch expression shows how to find the total cost of 4 pencils and 3 notebooks. a. 3($0.50) + 4($2.25)
b.4($0.50) - 3($2.25)
c.4($0.50) + 3($2.25)
d.4($0.50) X 3($2.25)

Answers

the answer is either A or C. I don't know what the price is of each individual notebook and pencil, so this is the most I can narrow the answer down to

I spent 80% of my money and had $12 left. How much money did I have to start ?

Answers

If you spent 80% that means you have 20% left, we'll use B as variable

20% x B = 12
0.20/0.20 x B = 12/0.20
B = 60

The volume V of a cube is given by the formula V=s^3, where s represents the length of an edge of the cube. Suppose the edge length is 24in. What is the volume of the cube in cubic feet?

Answers

so since it is a cube
all sides are equal
s=24 is given
therefor
s^3=24^3=24 times 24 times 24=13824 cubic feet

A number has the same digit in its hundreds place and its hundredths place. How many times greater is is the value of the digit in the hundreds place than the value of the digit in the hundredths place?A. 100,00

B. 100

C. 1,000

D. 10,000

Answers

Answer: D. 10,000

Step-by-step explanation:

Given: A number has the same digit in its hundreds place and its hundredths place.

Let the digit be '1'.

Then , the place value of number's hundreds place = 100

The place value of number's hundredths place = 0.01

Now, the number of times the value of the digit in the hundreds place is greater than the value of the digit in the hundredths place is given by :-

$(100)/(0.01)=(100*100)/(1)=10,000$ [Insert comma after 3 digits from the right]

Hence, the the value of the digit in the hundreds place is 10,000 times greater than the value of the digit in the hundredths place.

Say the number is, IDK, 333.33
The hundredths equals 0.03
The hundreds equals 300
You can divide 300 by 0.3
You get 10000
10000 is the answer

9 1/2 gal = ? qt?

Im so bad at math!!!

Answers

-In US 1 gal= 4qts.
-In order to find out how much 9 1/2 gal equals in quarts, you need to multiply 9 1/2 by 4.
-To make it easier you can turn 9 1/2 to 9.5
- So the ANSWER is 38 quarts!!!!
- 9 1/2= 38 qt
-HOPE THAT HELPED!!!!

Hey there! 9 1/2 in decimal form is 9.5 because 1/2=0.5 and then you add 9 to 0.5 (9+0.5=9.5). So, 9 1/2 gallons equals 38 quarts.

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