Multiply.5/9 3/10 Express your answer in the simplest form.



1 23/27 15/90 1/4 1/6

Answer:

1. r^5

2. st^2

3. qr (the two "s" cancel each other out)

4. z (the x^2's and y^2's cancel each other out)

5. m (the n^2's and o's cancel each other out)

6. x

7. z^-1

8. a (the b^2's cancel each other out)

9. d^4 f^2

Step-by-step explanation:

When exponential variables are divided, the base variable stays the same, and the exponents are subtracted. For example, for #6, x^2/x^1 (x doesn't need an exponent but for the sake of explanation is ^1). We subtract the exponents and since anything "to the power of 1" will just be the base number, for example 6^1 will still be 6.

The simplified expressions are given below.

Exponents are the method of writing numbers, especially large numbers, in terms of a base and an exponent, which is written as the power of base.

1) We have the division rule of exponents that,

xᵃ /  xᵇ = xᵃ⁻ᵇ

Using this,

r⁶ / r = r⁶⁻¹ = r⁵

2) s³t⁴ / s²t² = s³⁻² t⁴⁻² = st²

3) q³r²s / q²rs = q³⁻²r²⁻¹s¹⁻¹ = qr

s⁰ =  1, since any number raised to zero is always one.

4) x²y²z / x²y²z

Both numerator and denominator are same.

So the quotient is 1.

5) m³n²o / m²n²o

n²o gets cancelled both in the numerator and denominator.

m³n²o / m²n²o = m³⁻² = m

6) x² / x = x²⁻¹ = x

7) z⁴ / z⁵ = z⁴⁻⁵ = z⁻¹

8) a²b² / ab²

b² gets cancelled since they are same in both numerator and denominator.

a²b² / ab² = a²⁻¹ = a

9) d⁵f³ / df = d⁵⁻¹f³⁻¹ = d⁴f²

Hence the simplified form of each of the expressions is given.

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Answer:

-3, -

Step-by-step explanation:

 I took the test

cancelout the v^-6

21/-7

-3

Answer:

Step-by-step explanation:

[tex]\dfrac{21y^{-6}}{-7y^{-6}}= (-3) *y^{-6 -[-6]} = (-3)*y^{6+6}=-3*y^{0} = -3*1 = -3[/tex]

Answer:

y = 2x + 6

y = -1/4 x - 3

Step-by-step explanation:

We can read from the graph that the equation that slopes up to the right has y-intercept 6 and slope 2. The equation that slopes down to the right has y-intercept -3 and slope -1/4.

The equations are:

y = 2x + 6

y = -1/4 x - 3

Answer:

7/18

Step-by-step explanation:

Answer:

a) Cost of rent to own option is = ($156.99/month) ( 2 yrs)( 12 month/yr) = $3767.76

b) The amount of the finance charge is = $3767.76 - $3225.00 = $542.76

c) the simple interest rate can be calculated by this formula

I = Prt, where  

I = total interest value = $542.76

P = is the present worth or original cost including taxes = $3225.00

t = time in yrs = 2  

r = Yearly interest rate, By rearranging the formula:

r = I /Pt, r = ( $542.76 / $3225.00 . 2) ( 100) = 8.415%

Step-by-step explanation:

Answer:

For example, apply the distributive property to the expression 3 (2 + ) to produce the equivalent expression 6 + 3; apply the distributive property to the expression 24 + 18 to produce the equivalent expression 6 (4 + 3); apply properties of operations to + + to produce the equivalent expression 3.

Step-by-step explanation: hope this helps

Answer:

3.000

Step-by-step explanation:

Selisih

= 5000 - 2000

= 3000

Maka, selisih harga tiket delman Korea & Kanada adalah 3.000 .

Tiket to Korea = 5.000

Tiket to Kanada = 2.000

—» Selisih = Tiket Korea - Tiket Kanada

—» Selisih = 5.000 - 2.000

—» Selisih = (5 - 2)000

—» Selisih = 3.000

Answer:

-87

Here ya go :)

Answer:

4 T

Step-by-step explanation:

2 T (2) = 4 T

Answer:

18mm

Step-by-step explanation:

in the triangle we will say:

36=x^2 +x^2

36=2x^2

so x will be = root 18

as the area = x*x

so root 18 * root18=18mm^2

Answer:

a^2 = -2a

a= -2

b=18/a

b=18/ -2

b= -9

Answer:

1 is correct, 100.

2 is 500, not 470. since we're rounding to the nearest hundred, we would look at the tens place and if it's higher than 5 then round up.

3 is correct.

4 is correct.

5 is correct.

6 is correct.

7 is correct.

8 is 290, not 300. like i said before, but in this case we're rounding t the nearest ten instead of hundred. but the same rules apply.

9 is correct.

and 10 is correct!

i think that you did pretty well on most of these, but remember the rounding rule.

Answer:

a) -8yx-20y

b) -6x ² - 3xy - 16x -2y - 8

Step-by-step explanation:

a) -4y(2x+5) apply multiplicative distribution law

-4y × 2x - 4y × 5 multiply the monomials

-8yx - 20y

b) kinda the same steps like a

:) distributive property btw

hope it helps if you need the steps for b I'll send them in the comment

Answer:

Step-by-step explanation:

a=e= 90 b/c it is square

b= 45, it half of square

c base in rule of sin or cos, tan.

d=2,85

1) 1 17/45

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

31/3 ÷ 15/2

Applying the fractions formula for division,

= 31 × 2/3 × 15

= 62/45

Simplifying 62/45, the answer is

1 17/45

2)  13/17

First:

Convert any mixed numbers to fractions.

Reduce fractions where possible.

Then your initial equation becomes:

13/2 ÷ 17/2

Applying the fractions formula for division,

= 13 × 2/2 × 17

= 26/34

Simplifying 26/34, the answer is

13/17

3) 1 19/96

First:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

23/3 ÷ 32/5

Applying the fractions formula for division,

= 23 × 5/ 3 × 32

=115/96

Simplifying 115/96, the answer is

1 19/96

Answer:

7y + 3 = 3x + 11

7y = 3x + 11 - 3

7y = 3x + 8

y = 3x + 8 / 7

7y + 3 = 3x + 11

7y + 3 - 11 = 3x

7y - 8 = 3x

x = 7y - 8 / 3

Answer:

DE = 7.3 cm

Step-by-step explanation:

All you have to do is take the length of the full line (13.8 cm) and subtract it by the first part (6.5 cm). Doing this gets you the final length of DE with is 7.3 cm.

Answer:

x = 13

Step-by-step explanation:

The sum of the exterior angles of a polygon always will equal 360°.

(3x + 6) + 41 + (6x - 5) + (4x + 7) + 62 + (7x - 11) = 360°

(3x + 6x + 4x + 7x) + (6 + 41 - 5 + 7  + 62 - 11) = 360°

20x + 100 =360°

20x = 260

x = 260/20

x = 13

Answer:

B)p=20

Step-by-step explanation:

25=5p/4

25×4=5p

100=5p

p=100/5

p=20

Answer:

Step-by-step explanation:

The triangle formed by the lamp post and the (24+6)foot side on the ground is similar to the right triangle formed by the person of height h and his 6 foot shadow.

H/25=6/36

H=5

The person is 5 feet tall when his shadow is 6 feet long.

In general, the term "proportion" refers to a part, share, or amount that is compared to a total.

According to the concept of proportion, two ratios are in proportion when they are equal.

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio. "::" or "=" are symbols used to indicate proportions.

Given:

A person is standing 24 feet away from a street light that is 25 feet tall.

let the height of person be x when its height of shadow is 6 feet.

Using Proportion

x/ 6 = 25 / 30

30x =150

x= 150/ 30

x= 5 feet

Hence, the height of the person is 5 feet.

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Answer:

AA=59-7t

BB=34-2t

t<5

Step-by-step explanation:

AA=59-7t

BB=34-2t

Snowman A is taller than Snowman B while 59-7t > 34-2t

25>5t

t < 5 hrs

Answer:  A) The volume of the pyramid is 1/3 the volume of the rectangular prism.

Explanation:

Let's say we had a rectangular block that has a volume of 90 cubic meters. If we wanted a pyramid that had the same base as the block, then the pyramid would have 1/3 of that 90 m^3 volume. The pyramidal volume would be (1/3)*90 = 30 m^3.

Put another way: we can fit 3 pyramids into one rectangular block.

Answer:

[tex] \alpha + (\alpha + 61) = 109 \\ 2 \alpha + 61 = 109 \\ 2 \alpha = 48 \\ \alpha = 24[/tex]

The measure of angle one is 24°

Answer:

350

Step-by-step explanation:

Multiply all the sides by each other. This is a triangular prism so the base, you divide by 1/2. So:

A = 7 * 10 * 10

A= 7 * 5 * 10.

(You divide the ten on the bottom)

7*5 = 35

35*10 = 350

Answer:

240

Step-by-step explanation:

The surface is the sum of the sides (all 4 equal) plus the base.

A = 4(1/2B * H) + B**2

A = 4((1/2 * 10) * 7) + 10 * 10

A = 4(5 * 7) + 100

A = 4 * 35 + 100

A = 140 + 100

A = 240

Answer:

30

Step-by-step explanation:

I think but if is wrong i'm sory

Answer:

$2511.674254, rounded to $2512

Step-by-step explanation:

1700x1.05^8

Answer:

There is no graph.

Step-by-step explanation: