Which of the following is a solution to the equation 1649

Answer:

0.0016 or 16/10000

Step-by-step explanation:

1) 5^3/5^7

2) 125/78,125

3) 0.0016

Answer:

[tex]\frac{1}{625}[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] = [tex]\frac{1}{a^{(n-m)} }[/tex] ( where n > m ) , then

[tex]\frac{5^{3} }{5^{7} }[/tex]

= [tex]\frac{1}{5^{(7-3)} }[/tex]

= [tex]\frac{1}{5^{4} }[/tex]

= [tex]\frac{1}{625}[/tex]

Answer:

The answer is A

Step-by-step explanation:

Answer:

1/8 because you do 5 divided by 5 and 40 divided by 5 which gives you 8. Meaning, 1/8 is the answer.

Step-by-step explanation:

Answer:

7/8.

Step-by-step explanation:

5 weeks = 5*7 = 35 days.

So the fraction is 35/40

= (35/5) / (40/5)

= 7/8.

Answer:

26:20

Step-by-step explanation:

Answer:

26:20

Step-by-step explanation:

There is no way to simplify this ratio as 13 is a prime number, but you can make the ratio bigger by multiplying both sides of the ratio by equivalent numbers, like 2:

13 x 2 = 26

10 x 2 = 20

26:20

[tex]3\pi \\ 3\pi \times\ \frac{180°}{\pi} \\ 3 \times 180° = 540°[/tex]

Answer:

13 hours and 9 minutes

Step-by-step explanation:

Answer:

If I'm correct it should be 13 hr with an additional 9 min.

Step-by-step explanation:

Answer:8.72

Step-by-step explanation:

26.16/3=8.72

Answer:

Cost per pound = $8.72

Step-by-step explanation:

Since Mrs. Thomas spent $26.16 for 3 pounds' worth of turkey, all you need to do is divide $26.16 by 3 to get the cost per pound.

$26.16 ÷ 3 pounds = $8.72 per pound of turkey

Answer:

If you want what x equals it should equal 5^-6

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

3 numbers=30x3=90

third number=90-28-35=27

Hope this helps! Thanks.

Answer:

9

Step-by-step explanation:

Simplifying

2y + -6 = 12

Reorder the terms:

-6 + 2y = 12

Solving

-6 + 2y = 12

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6' to each side of the equation.

-6 + 6 + 2y = 12 + 6

Combine like terms: -6 + 6 = 0

0 + 2y = 12 + 6

2y = 12 + 6

Combine like terms: 12 + 6 = 18

2y = 18

Divide each side by '2'.

y = 9

Simplifying

y = 9

Answer:

Y=9

Step-by-step explanation:

Subtract 6 from both sides. Simplify. Dive both sides of the equation by the same term. Simplify. Solution y=9

Answer:

2

Step-by-step explanation:

Answer:

9 + (-7) = 2

Step-by-step explanation:

Answer:

-22

Step-by-step explanation:

Hope this helps! Pls give brainliest!

Answer:

The slope of this graph is 1. Well, 1/1 is equal to 1 so I think you should just put 1 as your answer.

Step-by-step explanation:

Answer:

The LCD IS 6

Step-by-step explanation:

Answer:

a. $77.5 for 5 tickets

b. You can by 8 tickets with $130

Step-by-step explanation:

Answer:

a) $77.50

b) 8 tickets

Step-by-step explanation:

a) C(x) = 17.5(x) - 10

C = 17.5(5) - 10

C = $77.50

b) C(x) = 17.5(x) - 10

130 = 17.5(x) - 10

130 + 10 = 17.5(x) -10 + 10

140 = 17.5(x)

140/17.5 = (x)

8 = x

[tex]\\ \sf\longmapsto GI^2=FI(IH)[/tex]

[tex]\\ \sf\longmapsto GI^2=6(12)[/tex]

[tex]\\ \sf\longmapsto GI^2=72[/tex]

[tex]\\ \sf\longmapsto GI=\sqrt{72}[/tex]

[tex]\\ \sf\longmapsto GI=8.22[/tex]

If FI = 6 and IH = 12. The length of GI = 8.22.

Given: FI = 6 and IH = 12

To estimate the length of GI

[tex]$\mathrm{Gl}^{2}[/tex] = FI (IH)

Simplifying the above equation, we get

[tex]$\mathrm{Gl}^{2}[/tex]= 6 (12)

Remove parentheses: (a) = a

Multiply the numbers then, we get

[tex]$6 \cdot 12=72$[/tex]

[tex]$\mathrm{Gl}^{2}[/tex] = 72

GI = [tex]$\sqrt{72}[/tex]

GI  = 8.22

Therefore, the length of GI = 8.22.

To learn more about triangles length

https://brainly.com/question/14302533

#SPJ2

Step-by-step explanation:

[tex]\large\underline{\sf{Solution-}}[/tex]

Given that,

A car covers the distance between two cities in 6 hours.

A van covers the same distance in 5.5 hours.

The speed of the van is 4 km per hour faster than the speed of car.

Let assume that

Speed of the car be x km per hour

So,

Speed of van is x + 4 km per hour.

Let further assume that

Distance between two cities be y km.

We know, Distance covered = Speed × Time.

➢ Now, Distance (y) covered by car at the speed of x km per hour in 6 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 6x}} - - - - (1)[/tex]

➢ Also, Distance (y) covered by van at the speed of x + 4 km per hour in 5.5 hours is

[tex]\rm :\longmapsto\:\boxed{\tt{ y = 5.5(x + 4)}} - - - - (2)[/tex]

So, from equation (1) and (2), we have

[tex]\rm :\longmapsto\:6x = 5.5(x + 4)[/tex]

[tex]\rm :\longmapsto\:6x = 5.5x + 22[/tex]

[tex]\rm :\longmapsto\:6x - 5.5x = 22[/tex]

[tex]\rm :\longmapsto\:0.5x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{5}{10} \times x = 22[/tex]

[tex]\rm :\longmapsto\:\dfrac{1}{2} \times x = 22[/tex]

[tex]\bf\implies \:x = 44[/tex]

On substituting the value of x, in equation (1), we have

[tex]\rm :\longmapsto\:y = 6 \times 44[/tex]

[tex]\bf\implies \:y = 264[/tex]

So,

[tex]\begin{gathered}\begin{gathered}\bf\: \rm :\longmapsto\:\begin{cases} &\sf{Distance \: between \: cities = 264 \: km} \\ \\ &\sf{Speed \: of \: car \: = \: 44 \: km \: per \: hour}\\ \\ &\sf{Speed \: of \: van \: = \: 48 \: km \: per \: hour} \end{cases}\end{gathered}\end{gathered}[/tex]

Answer:

Step-by-step explanation:

y

Answer:

<R = 30

LM = 6 sqrt(3)

Step-by-step explanation:

Since the figures are congruent

<R = < L

<S = <M

< T = <N

RS = LM

ST = MN

RT = LN

<L = 30 so <R = 30

RS = 6 sqrt(3) so LM = 6 sqrt(3)

Answer:

c∥d by the converse of the corresponding angles theorem.

Step-by-step explanation:

just took the test

The rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

Vectorially speaking, a translation is described by the following expression:

[tex]V'(x,y) = V(x,y) + T(x,y)[/tex] (1)

Where:

By direct inspection we see that parallelogram C'D'E'F' translated to the right is moved 9 in +x direction and 4 in -y direction. Hence, the translation vector is equal to:

[tex]T(x,y) = (9, -4)[/tex]

And the rule in vector notation for the translation to the right is described by the following formula:

[tex]V'(x,y) = V(x,y) + (9, -4)[/tex]

We kindly invite to check this question on translations: https://brainly.com/question/12463306

Answer:

x = √(5)

Step-by-step explanation:

Step 1: Take square root of both sides.

Therefore, x = √(5).

Step-by-step explanation:

Number 1

180° = x + 70° + 55° + 30°

180° = x + 155°

x = 180° - 155°

x = 25°

Number 2

x° = 93°

y° = 47°

z° = 180° - 47° - 93°

z° = 180° - 140°

z° = 40°

#LearnWithEXO

Answer:  I don't known b ???????

Step-by-step explanation:

Step-by-step explanation:

step one Choose C