On a map, 1 cm represent 250 km. How many kilometres does 7 cm represent?

I suppose you mean to convert 58₁₀ to base 2, and not 5810₁₀ to base 2.

Write 58 as the sum of the largest powers of 2 that you can:

58 = 32 + 26

58 = 32 + 16 + 10

58 = 32 + 16 + 8 + 2

58 = 2⁵ + 2⁴ + 2³ + 2¹

58 = 1×2⁵ + 1×2⁴ + 1×2³ + 0×2² + 1×2¹ + 0×2⁰

⇒   58₁₀ = 111010₂

To convert from base 2 to base 10, write out and simplify the decimal expansion as in the last line of the previous example.

10111₂ = 1×2⁴ + 0×2³ + 1×2² + 1×2¹ + 1×2⁰

10111₂ = 16 + 0 + 4 + 2 + 1

⇒   10111₂ = 23₁₀

#a

[tex]\\ \sf\Rrightarrow (58)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2+8+16+32)_{10}[/tex]

[tex]\\ \sf\Rrightarrow (2^1+2^3+2^4+2^5)_{10}[/tex]

[tex]\\ \sf\Rrightarrow 0(2^0) 1(2^1)+0(2^2)+1(2^3)+1(2^4)+1(2^5)[/tex]

[tex]\\ \sf\Rrightarrow (111010)_2[/tex]

#b

[tex]\\ \sf\Rrightarrow (10111)_2[/tex]

[tex]\\ \sf\Rrightarrow 1\times 2^0+1\times 2^1+1\times 2^2+0\times 2^3+1\times 2^4[/tex]

[tex]\\ \sf\Rrightarrow 1+2+4+16[/tex]

[tex]\\ \sf\Rrightarrow (23)_{10}[/tex]

Answer:

11

Step-by-step explanation:

Givens:

AD = 8

AC = 4y - 28

y = ?

First we can see that AD and DC are equal.

-note AD and AC are not equal

But 2 times the length of AD should give you AC so.....

2 x length of AD = 16 = AC

We can use the equation:

16 = 4y - 28

Solve for y

16 + 28 = 4y

44 = 4y

y = 11

Therefore value of y is 11.

Answer:

i belive by rounding you get 1

Step-by-step explanation:

Answer:

Divide both sides by 22.

\frac{3y}{2}=x

2

3y

=x

2 Switch sides.

x=\frac{3y}{2}

x=

2

3y

Answer:

5

Step-by-step explanation:

The distance between the points in RISE/RUN is 10/2.

10/2 = 5. Your slope is 5

Hope that helps. Brainliest is appreciated

Answer:

See image

Step-by-step explanation:

In both of these the words "more than" mean adding and not the symbol >

difference means subtracting

See image

Answer:

see explanation

Step-by-step explanation:

TQ and TR are perpendicular bisectors , so

QO = QN = 3.75

RP = OR = 3.4

The circumcentre T is equally distant from the triangle's 3 vertices, then

PT = QT = 4.5

Answer:

y = [tex]\frac{4}{5}[/tex] x - 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (5, 3 ) and (x₂, y₂ ) = (0, - 1 )

m = [tex]\frac{-1-3}{0-5}[/tex] = [tex]\frac{-4}{-5}[/tex] = [tex]\frac{4}{5}[/tex]

The line crosses the y- axis at (0, - 1 ) ⇒ c = - 1

y = [tex]\frac{4}{5}[/tex] x - 1 ← equation of line

Answer:

What do you need help with?

Step-by-step explanation:

I'm confused because you didn't include a question.

Answer:

  135°

Step-by-step explanation:

A full turn is 360°, so 0.375 of a full turn is ...

  0.375 × 360° = 135° . . . . degrees in 3/8 turn

Answer:

12 mph

Step-by-step explanation:

First 30 miles while cycling at 15 mph. This means he spent 2 hours here.

Thus the 4 hours on the last 48 miles.

Average speed  =  distance / time

Average speed = 48 miles / 4 hours

Average speed = 12 mph

Therefore Regan's average speed is 12 mph for the last 48 miles.

The lowest score for Leo’s mean to be 150.0 is 179.

Mean can be described as the average of a set of numbers.

Mean = sum of number / total numbers

In order to determine the lowest score Leo can have so his mean can be at least 150, the sum of his current scores has to be determined.

Sum of scores = 138 + 157 + 146 + 129 + 151 = 721

The second step is to determine the sum of scores when his mean is 150

Sum of scores when mean is 150 = 150 x 6 = 900

Least score = 900 - 721 = 179

To learn more about mean, please check: https://brainly.com/question/12528427

Answer:

179

Step-by-step explanation:

One it says he wants his score to be at least 150, and then it shows what his scores are which is;  138, 157, 146, 129, 151, then it gives the options of

121

146

154

an 179

then it says what is the lowest score for Leo's mean to be 150.0

and the lowest that it can be is the answer which is 179

Hope this helped, if yes pls put thanks :D

Answer:

4 is the correct answer

Step-by-step explanation:

|-7| = 7

|3| = 3

7 - 3 = 4

Answer:

-6

Step-by-step explanation:

10x1 + 4y = -14

10+4y=-14

4y=-14-10

4y = -24

y = -24/4

y = -6

Answer:

0.62

Step-by-step explanation:

10 to the 3rd power is 1,000. Since 1,000 is greater than 620, it would become a decimal. Move the decimal behind 620 3 places. It would become:

1st move: 620 -> 62.0

2nd move: 62.0 -> 6.20

3rd move: 6.20 -> 0.62

Multiply each X by its corresponding probability P, then add up them up.

E[X] = 3•0.2 + 4•0.1 + 5•0.25 + 7•0.05 + 9•0.4

⇒   E[X] = 6.2

Answer:

2 terms

Step-by-step explanation:

hope this helps! :D

have a miraculous day!! <3

the first one ((x+8, y+2), r x-axis)

Step-by-step explanation:

-8 - 6x < 1

Bringing like terms on one side

-6x < 1 + 8

-6x < 9

x < 9/-6

x < 3/-2

I think the correct answer is none

Answer:

160.93

Step-by-step explanation:

I'm not that great at math so forgive me if I'm wrong, but from my knowledge the answer would be 160.93 since you're multiplying 16.093 to 10.

hope this helped! :)

Answer: 2

Step-by-step explanation:

distribute: 6 [ 9 − 9 + 8 ] + 3 = 0

add the numbers: 6 [ 1 7 − 9 ] + 3 = 0

rearrange terms: 6 [ − 9 + 1 7 ] + 3 = 0

distribute again: − 5 4 + 1 0 2 + 3 = 0

combine like terms:  − 5 4 + 1 0 2 + 3 = 0

Subtract  102  from both sides of the equation: − 5 1 + 1 0 2 − 1 0 2 = 0 − 1 0 2

simplify:− 5 1 = − 1 0 2

Divide both sides of the equation by the same term: -51x/-51 = -102/-51

simplify: 2

i hope this helps! ^^

Step-by-step explanation:

identify the domain and range of functions is by using graphs. Because the domain refers to the set of possible input values, the domain of a graph consists of all the input values shown on the x-axis. The range is the set of possible output values, which are shown on the y-axis.

3(y - 2) = 3y - 6

3y - 6 = 3y - 6

3y - 3y = - 6 + 6

0 = 0

It has ∞ solutions.

0 = 0, so 'y' can be replaced with any value & we'll still get the LHS & RHS as 0. So, the equation has ∞ solutions.

_____

Hope it helps ⚜

Answer:

Infinitely Many Solutions

Step-by-step explanation:

3(y - 2) = 3y - 6

3y - 6 = 3y - 6      Distribute 3.

0 = 0                    Combine the like terms.

Since we get the end result of 0 = 0, which is a true mathematical statement (i.e. 0 is equal to 0), we can see that regardless of the value of x, the original equation is true. So we have infinitely many equations.

Or, we can see the 2 parts as equations for 2 separate graphs. In other words, assume that we have 2 lines: y = (3x - 2) and y = 3y - 6. Since they both have the same m value (slope) and b value (y-intercept), the 2 lines are actually overlapping. So we have infinitely many solutions because the 2 equations represent the same linear graph.

Step-by-step explanation:

(f+g)(x) = f(x) + g(x) =

x/2 - 3 + 4x² + x - 4 = 4x² +3x/2 - 7

so, yes, B is the right answer.

Answer:

5 hours at least, 10 at most

Step-by-step explanation:

varables:

O= omar songs\

S= total # of songs

equation:

2o+37= S

Hoped that helped:)

Answer:

y=x+5

Step-by-step explanation:

if you mean how many she completed INCLUDING the 5 over the summer