Express into the complete surds.​

Answer:

1/512

Step-by-step explanation:

The probability is 2 out of 2^10 , because there are only two sequences when  same result (heads or tails) shows twice in a row exactly once in the ten tosses (HTHTHTHTHT and THTHTHTHTH) out of 2^10 possible sequences.

2/2^10 = 2/1024 =1/512

Answer:

y = 5x + 16

Step-by-step explanation:

5y + x = 20

5y = -x + 20

y = [tex]-\frac{1}{5}[/tex]x + 20

Points: (-2, 7)

Slope (m⊥): = 5

y = 5x + b

7 = 5 ( -2 ) + b

6 = -10 + b

b = 16

y = 5x + 16

Answer:

all of dem

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I got it right

The number line that represents opposite numbers is (a) number line 1

From the question, we understand that:

The numbers are opposite numbers

Take for instance, we have a number x.

The opposite of the number x is -x

So, the number line that represents opposite numbers must have points at x and -x

Let x = 10.

So, we have:

Opposite numbers = 10 and -10

So, the number line that represents opposite numbers must have points at 10 and -10

Hence, the number line that represents opposite numbers is (a) number line 1

Read more about number lines at:

https://brainly.com/question/4727909

#SPJ1

Answer:

$0.18 sales tax will be added to the purchase price.

Step-by-step explanation:

Given that:

Cost of cupcake = $3

Sales tax applied = 6%

Amount of sales tax = 6% of cost of cupcake

Amount of sales tax = [tex]\frac{6}{100}*3[/tex]

Amount of sales tax = 0.06 * 3 = $0.18

Hence,

$0.18 sales tax will be added to the purchase price.

Answer:

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I hope it will be useful.

Note: It seems you may have unintentionally missed writing the complete question. As total cost is missing.

So, I am assuming how many tickets Mr. XYZ can buy if he/she pays 170 dollars.

The solution would still clear your concept though.

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

[tex]c(x) = 18x -10[/tex]

The slope-intercept form of the line equation

We know that the slope-intercept form of the line equation

y=mx+b

where m is the slope and b is the y-intercept

so

[tex]c(x) = 18x - 10[/tex]

comparing with the slope-intercept form of the line equation

here:

and

'x' represents the number of tickets

Assuming the total cost i.e. c(x) = $170

In order to determine the value of x, set c(x) = 170

i.e.

170 = 18x -10

switch sides

18x - 10 = 170

add 10 to both sides

18x - 10 + 10 = 170 + 10

18x = 180

Divide 18 to both sides

18x/18 = 180/18

x =  10

Therefore, if you can buy x = 10 tickets if you pay  170 dollars.

Answer:

he should have 28 dimes

Step-by-step explanation:

Answer:

0.34

Step-by-step explanation:

10.80 DIVIDED BY 32 IS 0.3375 IF YOU ROUND THAT IT WOULD BE 0.34  

Answer:

They are neither perpendicular nor parallel.

Step-by-step explanation:

Find the gradient of 2x + 6y = 42 by rearranging it in the form y = mx + c:

6y = -2x + 42

y = -(1/3)x + 7

The gradient is the co-efficient of x

Therefore the gradient is -(1/3)

The gradient of y = 2x - 1 is 2.

If they were parallel they would have the same gradient.

If they were perpendicular then the gradient of one would be the negative reciprocal of the other, e.g: if one was 2, the other would be -(1/2).

Neither of these are true, so they are neither perpendicular nor parallel.

The lines 3x+6y=42 and y=2x-1 are perpendicular

Two lines are parallel if they have equal slope

Two lines are perpendicular if the product of their slopes equals -1

The given lines are:

3x+6y=42 and y=2x-1

Rewrite each of the equations in the form y = mx + c

For line 3x + 6y = 42:

[tex]6y = -3x + 42\\\\y=\frac{-3}{6} x+\frac{42}{6}\\\\y=-0.5x+7[/tex]

The slope, m₁  =  -0.5

For line y = 2x - 1

The slope, m₂ = 2

Since m₁  ≠ m₂, lines 3x+6y=42 and y=2x-1 are not parallel

m₁ m₂  =  -0.5(2)

m₁ m₂  = -1

Since the product of the slopes equals -1, the lines 3x+6y=42 and y=2x-1 are perpendicular

Learn more here: https://brainly.com/question/20093063

Answer:

10

Step-by-step explanation:

i think

Answer:

301.44

Step-by-step explanation:

Answer:

x = 10

Step-by-step explanation:

21 = 4x - 9 - x

21 = 3x - 9

30 = 3x

10 = x

Answer:

x = 10

Step-by-step explanation:

Given

21 = 4x - 9 - x, that is

21 = 3x - 9 ( add 9 to both sides )

30 = 3x ( divide both sides by 3 )

10 = x

Answer:

-23, -15, -10, -7, -3, -2, -1, 0, 2, 2, 3, 5, 10, 15, 23  

Step-by-step explanation:

:)

Answer: 4.17%

Step-by-step explanation:

Formula for percentage error = [tex]\dfrac{|\text{Estimated weight - Actual weight}|}{\text{Actual weight}}\times100[/tex]

Given: Estimated weight = 2.5 oz

Actual weight = 2.4 oz

Percentage error = [tex]\dfrac{2.5-2.4}{2.4}\times100\%[/tex]

[tex]=\dfrac{0.1}{2.4}\times100\%\\\\=\dfrac{100}{24}\%=4.17\%[/tex]

Hence, the percent error = 4.17%

Answer:

k=4

Step-by-step explanation:

cross multiply so it would be:

8k+24=56

subtract 24 from 56

8k+24-24=56-24

8k=32

divde

8k/8=32/8

k=4

Answer:

The slope of the line that joins the points is negative.

i.e m = -6/5

Step-by-step explanation:

Taking two points from the graph to determine the slope

Finding the slope between (-3, 4),(2, -2)

[tex]\mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]'

[tex]\left(x_1,\:y_1\right)=\left(-3,\:4\right),\:\left(x_2,\:y_2\right)=\left(2,\:-2\right)[/tex]

[tex]m=\frac{-2-4}{2-\left(-3\right)}[/tex]

[tex]m=-\frac{6}{5}[/tex]

Therefore, the slope of the line that joins the points is negative.

i.e m = -6/5

Answer:

16 students are girls.

Step-by-step explanation:

5:4=36

5x+4x=36

9x=36

x=4.

So we can multiply the ratio by 4.

4(5+4)

20+16.

Since girls is 4, there are 16 girls.

Hope this helps plz hit the crown :D

Answer:

let ratio of boys and girl be 5x and 4x

now

5x+4x=36

9x=36

x=36÷9

x=4

now

number of boys in class is 5x=5*4=20

Number of girls in class is= 4x

=4*4

=16 ans

Answer:

X=20 degree

Step-by-step explanation:

∆A+∆D+∆O=180

2x+10+2x+90=180

collect like terms

2x+2x=180-100

4x=80

(4x)/4=(80)/4

x=20 degree

Answer:

[tex]angles \: of \: triangle \: add \: up \: to \: {180}^{0} \\ {(2x + 10})^{0} + {(2x)}^{0} + {90}^{0} = {180}^{0} \\ 4x = {(180 - 90 - 10)}^{0} \\ 4x = {80}^{0} \\ x = {20}^{0} [/tex]

Answer:

This is the answer. All the very best

Answer:

The value of the sales that week was £1,600

Step-by-step explanation:

The wage of a salesman is made of two parts: A fixed-wage of £160 per week plus a commission of 30%  (0.3) of the sales he makes that week.

The wage can be modeled by the function:

W = 160 + 0.3x

Where x is the amount of sales per week.

If he had a total wage of £640, then we can find the values of the sales by solving for x the equation

160 + 0.3x = 640

Subtracting 160:

0.3x = 640 - 160

0.3x = 480

Dividing by 0.3:

x = 480/0.3

x = 1,600

The value of the sales that week was £1,600

Answer:

60 degrees

Step-by-step explanation:

All the angles are the same so 180 divided by 3 is 60

Answer:

im doind the same question on mahswatch what is it

Step-by-step explanation:

Step-by-step explanation:

x^2+9x<-20

x^2+9x+20<0

( x+5)(x+4)<0

x+5<0,x+4<0

x<-4 (because x<-5 is extraneous solution)