Algebra applications: find the value of x and y​

Answer:

Step-by-step explanation:

Answer:

4,189,640 km

Step-by-step explanation:

Answer:3

Step-by-step explanation:

took gtest

Answer:

6

Step-by-step explanation:

I'm assuming it's asking what you need to put in the "dot", or in other words what exponent does it have to be, so the two expressions are equal.

Anyways, there's an exponent identity, which essentially states: \(\frac{x^a}{x^b}=x^{a-b}\)

So in this case, let's just say that "dot" is x, to make it a bit easier to express

You have the following equation: \(\frac{3^x}{3^2}=3^4\)

But remember the identity? So it follows that: \(\frac{3^x}{3^2}=3^{x-2}\)

So if we substitute this in, as the fraction we get the equation: \(3^{x-2}=3^4\)

Since the two bases are the same, the exponents have to be the same, so we can write the equation as: \(x-2=4\)

And this is a simple algebraic equation, which you just add 2 to both sides to get: \(x=6\)

Now, that's not to difficult, but I want to go a bit more in depth as to why the identity: \(\frac{x^a}{x^b}=x^{a-b}\) intuitively makes sense if you think about it for a bit.

So I can use an abstract example, but I'll use this specific example: \(\frac{3^6}{3^2}=3^4\)

The reason for this, is because if you write out the exponent in multiplication form you get: \(\frac{3*3*3*3*3*3}{3*3}=3*3*3*3\)

So what we're really doing here, is cancelling out two of the threes. The reason for this is because we have two threes in the numerator, and two in the denominator. So we can just cancel out two of them from the numerator, and this gives us the expression: \(3*3*3*3\)

This is just 4 threes being multiplied by each other, which can also be expressed as: \(3^4\)

So when you're writing: \(\frac{x^a}{x^b}=x^{a-b}\), you're just cancelling out x's from the numerator and denominator.

Answer:

13 < 24.

Step-by-step explanation:

This is asking if 13 is greater than or equal to 24.

13 does not equal 24.

Thus, 13 is greater than 24.

We point the arrow tip at the 13 because it is being shot by the 24. (I made that up but it actually works)

Answer:

a.) -9

b.) -1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

A is false because irrational numbers can not be integers.

12/3

cause 12 divided by 3

Answer:

B

Step-by-step explanation:

I'm really not sure how to explain this.

Answer:

108 centimeters

Step-by-step explanation:

Given that :

Scale model used for the Eiffel Tower :

2 centimeter represents 6 meters;

This means 2 centimeters on the model represents 6 meters of the Eiffel Tower.

To obtain the height of the model in centimeter :

Let the height of the model = h

h of model = actual height of tower

Actual Height of tower = 324 meters

Using cross multiplication :

2 = 6

h = 324

6 * h = 324 * 2

6h = 648

h = 648 / 6

h = 108

Hence, height of the model = 108 centimeters

Answer: 108 centimeters

Step-by-step explanation:

2 centimeters represents 6 meters;

This means 2 centimeters on the model represent 6 meters of the Eiffel Tower.

Let the height of the model = h

h of the model is = to the actual height of the tower

Actual Height of tower = 324 meters

2 = 6

h = 324

6 x h = 324 x 2

6h = 648

h = 648 divided by 6

h = 108

Answer: 0

Step-by-step explanation:

PEMDAS

1. Parentheses First:

(0)8 + 7(0)

Multiply (anything multiplied by 0 is 0)

0 + 0

Answer:

Step-by-step explanation:

do you think you could take a closer up one then I will help you.

Answer: 10

Step-by-step explanation:

b can be 10 as,

7*3 = 21

7+3 = 10

∵ \(7x^2\) + 10x + 3

Answer:

D

Step-by-step explanation:

Ive done this home before so I know I am right

Answer: D

Step-by-step explanation: I have done this at home so I know I am right pls trust and believe me. If I am wrong you can sue me.

Answer:

The answer is d, 4 and 4/9

Step-by-step explanation:

First:

Convert the mixed number into an improper fraction.

Then your initial equation becomes:

10/1 divided by 9/4

Applying the fractions formula for division,

=10×41×9

=40/9

Simplifying 40/9, the answer is

=4 and 4/9

Answer: 120 feet sqaured

Step-by-step explanation:

Surface area for square pyramid formula: 2bh + b^2

Base = 6  Height = 9

2*6*9+6^2 =

108+12 =

120

Answer:

120 feet squared

Step-by-step explanation:

Answer:

Step-by-step explanation:

so you divide 2/3 by 3/5 just like KSF or KCF you will get the sum. hope this helped : )

Answer:

1.11111111111 cups of rice will fill an empty jar of the same size.

Step-by-step explanation:

⅗ jar = ⅔ cups

1 jar = ? cups

⅗ = 0.6    &    ⅔ = 0.66666666666

\((\frac{cups}{jar})\)  →  \(\frac{0.66666666666}{0.6}\) = 1.11111111111

Answer:

Step-by-step explanation:

\(\frac{-1}{2}+\frac{3}{4}\\ = \frac{-2}{4}+\frac{3}{4}\\ = \frac{-2+3}{4} \\ = \frac{1}{4}\)

Answer: 0.25

Step-by-step explanation:

Answer:

Step-by-step explanation:

Well if the equation is x-4/3>10 first assume the greater than symbol is an equal symbol.

Then add 4/3 to either side to get x>11 and 1/3 or 11.3333 repeating

Answer: the same as them

Step-by-step explanation:

Answer:

Step-by-step explanation:

107 is the answerrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr

Answer:

[See Below]

Step-by-step explanation:

_____________________________________________

✦ Mean Absolute Deviation (MAD): The average length between all the data and the mean.

_____________________________________________

✦ First solve for the mean of the data:

✧ Add together all the values:

✧ Now divide by how many numbers or data you have:

_____________________________________________

✦ Now we solve for MAD:

_____________________________________________

~Hope this helps Mate. If you need anything feel free to message me.

Answer: 2:3

Step-by-step explanation: Im not very good at math but im trying my hardest and i would but a crying emoji but i cant whith this computer

Answer: Marked price Rs. 600

Step-by-step explanation:

Let M be the marked price

1) When shop keeper sold at 20% discount, ie. SP = 0.8M

CP - SP = 20

CP = 20 + SP

CP = 20 + 0.8M

2) When shopkeeper sells at 8% discount, he makes a profit of 10%

SP = 0.9M/1.08

Equating 1 and 2, we get

20 + 0.8M = 0.9M/1.08

21.6 + 0.864M = 0.9M

0.036 M = 21.6

M = 21.6 / 0 036

M = 600

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\(\bf\Huge\red{\mid{\overline{\underline{ ANSWER }}}\mid } \)

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\(\Large\fbox{\color{purple}{QUESTION}}\)

A shopkeeper made a loss of Rs 20 when he sold a bag at 20% discount. If he had sold it at 10% discount, he would have gained 8%. Find the marked price of the bag.

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\(\Large\fbox{\color{purple}{ SOLUTION }}\)

let M, S and C be the mark price, selling price & cost price respectively.

1) when shopkeeper sells at 20% discount then he suffers a loss of rupees 20 then we have :-

\(s = ( 1 - \frac{20}{100} ) \times m = 0.8m \\ \\ and \: c - s = 20\)

C = 20 + 0.8 m ------------- eq 1

2) when shopkeeper sells at 20% discount then he makes a profit of 8% then we have

\(s = ( 1 - \frac{10}{100} ) \times m = 0.9m \\ \\ and \\ \\ s = ( 1 + \frac{8}{100} ) \times c = \: \frac{0.9m}{1.08} \)

since the cost price of bag doesn't change and equating 1 and 2 we get

\(20 + 0.8m = \frac{0.9m}{1.08} \\ \\ 21.6 + 0.864m \: = 0.9m \\ \\ 0.036m \: = 21.6 \\ \\ m \: = 600\)

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\(\bf\Large\red{ THANKS \: FOR \: YOUR}\)

\(\bf\Large\red{ QUESTION \: HOPE \: IT } \)

\(\bf\Large\red{ HELPS }\)

\(\Large\mathcal\green{FOLLOW \: ME} \)

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Answer:

A

Step-by-step explanation:

We can solve for H by isolating it on one side of the equation, as follows:

J/H - I/H = G

Taking H as the common denominator:

(J - I)/H = G

Multiplying both sides by H:

J - I = GH

Adding I to both sides:

J = GH + I

Dividing both sides by G:

H = (J - I)/G

So the answer is

(A)

H = (J - I)/G.

Answer:   A

Step-by-step explanation:

\(\frac{J}{H} = G + \frac{I}{H}\)                >Since you are solving for H bring I/H to the other side

                                   by subtracting I/H from both sides

\(\frac{J}{H}- \frac{I}{H} = G\)               >There is a common denominator so you can

                                   combine the fractions

\(\frac{J-I}{H} = G\)                   >Multiply both sides by H or cross multiply whichever

                                  way your mind things about how to get H on top

\(J-I = G(H)\)           >Divide both sides by G

\(\frac{J-I}{G} = H\)                   >Answer is A

Answer:

(10t + u)(10u + t) = 4,930

100tu + 10t^2 + 10u^2 + tu = 4,930

101tu + 10t^2 + 10u^2 = 4,930

10t^2 + (101u)t + (10u^2 - 4,930) = 0

(101u)^2 - 4(10)(10u^2 - 4,930)

= 10,201u^2 - 400u^2 + 197,200

= 9,801u^2 + 197,200

We see that u = 5 gives 442,225.

√442,225 = 665

(10t + 5)(50 + t) = 4,930

500t + 10t^2 + 250 + 5t = 4,930

10t^2 + 505t - 4,680 = 0

2t^2 + 101t - 936 = 0

t = (-101 + √(101^2 - 4(2)(-936)))/(2×2)

= (-101 + √17,689)/4

= (-101 + 133)/4 = 32/4 = 8

So the numbers are 58 and 85.

58 + 85 = 143

Answer:

no bro, sorry. even though I needed to I don't have it

Answer:copper plate coins or p

Step-by-step explanation:

When you turn them all into percentage p is 70%.

Answer:

its onion dna

Step-by-step explanation:

Answer:

Area of five squares = 1289.09 square units

Perimeter =  194.6 units

Step-by-step explanation:

Area of square and perimeter:

   First find the length of each square, then find the area of each square.

To find the area of five squares, add all the area of each square.

Side of square1 = 27 units

\(\sf Side \ of \ square2 = \dfrac{2}{3}*27=2*9 = 18 \ units\\\\Side \ of\ square3= \dfrac{2}{3}*18=2*6=12 \ units\\\\Side \ of \ square4=\dfrac{2}{3}*12=2*4=8 \ units\\\\Side \ of \ square5=\dfrac{2}{3}*8=\dfrac{16}{3}=5.3 \ units\)

Area of square1 = 27*27 = 729 square units

Area of square2 = 18*18 = 324 square units

Area of square3 = 12*12 = 144 square units

Area of square4 = 8*8 = 64 square units

Area of square5 = 5.3*5.3 = 28.09 square units

Area of five squares = 729 + 324 + 144 + 64 +28.09

                                  = 1289.09 square units

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Perimeter of the composite figure = (27 + 27+27+9) + (18+18+6) +(12+12+4) + (8+8+2.7)+ (5.3+5.3+5.3)

                                                         = 90 + 42 + 28 + 18.7 + 15.9

                                                          = 194.6 units

Answer: 1. a. 15     b. 11     c. 2     d. 7     e. 5.5

2.  Stem:                   Leaf:

        1                           9

        2                         5, 9

        3                        3, 3, 8

        4                        0, 7, 9

        5                          4, 5

        6                           1, 5

        7                           2, 7

        8                             1

3. a. 13 inches        b. I'm pretty sure that it is the second quarter because there is more snow.           c. The first quarter because it's section is more spread out among the numbers.

Step-by-step explanation: