Show that 0.616 = 37/60

Step-by-step explanation:

2x + 9 = 35

→ 2x = 35 - 9 = 26

→ x = 26/2 = 13

→ x = 13

therefore, option A is correct

4 + | 7 - m | = 5

→ | -m + 7 | = 5 - 4

→ - m + 7 = 1 ( however or (only) m < 7 )

→ ( -m + 7 ) ( however or only m ≥ 7 )

→ m = 6 and m = 8

therefore, Option B is correct.

3t + 3/5 = 6

→ 3t + 3 = 6 × 5 = 30

→ 3t = 30 - 3 = 27

→ t = 27/3 = 9

→ t = 9

6(d + 1) - 2d = 54

→ 6d + 6 - 2d = 54

→ 4d + 6 = 54

→ 4d = 54 - 6 = 48

→ d = 48/4 = 12

→ d = 12

-110 = 13 + 3(4h - 6)

→ -110 = 13 + 12h - 18

→ -12h = 13 - 18 + 110

→ -12h = 105

→ h = 105/12

→ h = 8.75

hope this answer helps you dear!..

Answer:10 & 12

Step-by-step explanation:

Answer:

The 5th step will need 32 blocks, and the 6th step will need 64 blocks.

Step-by-step explanation:

Each step requires the blocks to be doubled. The first step has two, 2x2 is 4. There are 4 blocks in the next step. 4x2 is 8. There are 8 blocks in the next step, and so on and so forth. Just multiply by 2. Hope this helped!

Answer:

82.96 people/km^2

Step-by-step explanation:

people / square km

3.70 x 10^9        

----------------- =    

4.46 x 10^7      

3.70 x 10^2

----------------

 4.46

0.8295... x 100 = 82.959641 or rounded 82.96

Answer:

The answer would be 36/7 and that would be 5.14285714286

Step-by-step explanation:

Answer:

Step-by-step explanation:

x=36/7

Answer: Yes

Step-by-step explanation:

2:3 is the same as (2/3) and 4:6 is the same as (4/6). (4/6) can be reduced by dividing both sides by 1/22: (4/6)*(1/2)/(1/2) = 2/3, They are the same.

Answer:

needs a image not much information working with

Answer:

1 3/5

Step-by-step explanation:

if you multiply 1/5 x 8, you get the decimal 1.6, and 1.6 as a mixed fraction is 1 3/5

Answer:

148 cm2

Step-by-step explanation:

5 * 4 * 2 = 40

6 * 5 * 2 = 60

6 * 4 * 2 = 48

40 + 60 + 48 = 148

Answer:

Step-by-step explanation:

T.S.A (TOTAL SURFACE AREA) OF CUBOID :

→ 2(lb + bh + lh)

( l = length, b = breadth , h = height )

→ Given :

• Length (l) = 6cm

• Breadth (b) or width = 4cm

• Height (h) = 5cm

Total Surface area of cuboid :

• 2( 6×4+ 4×5+ 5×6) cm²

• 2 ( 24 + 20 + 30 ) cm²

• 2 ( 74 ) cm²

• 148 cm²

Answer:

1. B. 12

2. D. 6

3. A. 12

4. C. 64

5. D. 1[tex]\frac{17}{18}[/tex]

6. B. 16

Step-by-step explanation:

3.2128 is a rational number because you can not make it into a fraction/ratio

Using the data given, the 95% confidence interval of the true mean is (205.20 ; 230.20)

Given the data :

The confidence interval is defined as :

Since, sample size ls less than 30 we use a t-distribution table :

[tex] C.I = \bar{x} ± t_{α/2, n-1} \frac{s}{\sqrt{n}}[/tex]

Using a calculator :

Lower boundary = [tex] 217.7 - 2.26(\frac{17.49}{\sqrt{10}}) = 205.20[/tex]

Lower boundary = [tex] 217.7 + 2.26(\frac{17.49}{\sqrt{10}}) = 230.20[/tex]

Therefore, the confidence interval is (205.20 ; 230.20)

Learn more :https://brainly.com/question/25173276

The confidence interval is simply a range that contains the true mean of the population

The 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

The given parameter is:

[tex]\mathbf{n = 10}[/tex]

Start by calculating the degree of freedom

[tex]\mathbf{df = n - 1}[/tex]

[tex]\mathbf{df = 10 - 1}[/tex]

[tex]\mathbf{df = 9}[/tex]

Next, calculate the mean

[tex]\mathbf{\bar x = \frac{\sum x}{n}}[/tex]

[tex]\mathbf{\bar x = \frac{225 + 240 + 215 + 206 + 211 + 210 + 193 +250 + 225 + 202}{10}}[/tex]

[tex]\mathbf{\bar x = \frac{2177}{10}}[/tex]

[tex]\mathbf{\bar x = 217.7}[/tex]

Calculate the standard deviation

[tex]\mathbf{\sigma = \sqrt{\frac{\sum (x - \bar x)^2}{n-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{(225 -217.7)^2+ (240 -217.7)^2+..........+ (202 -217.7)^2}{10-1}}}[/tex]

[tex]\mathbf{\sigma = \sqrt{\frac{2752.1}{9}}}[/tex]

[tex]\mathbf{\sigma = 17.49}[/tex]

Calculate the standard error

[tex]\mathbf{SE = \frac{\sigma}{\sqrt n}}[/tex]

[tex]\mathbf{SE = \frac{17.49}{\sqrt {10}}}[/tex]

[tex]\mathbf{SE = 5.53}[/tex]

At 95%, df = 9. the t-value is:

[tex]\mathbf{t= 2.262}[/tex]

So, the confidence interval is:

[tex]\mathbf{CI = \bar x \pm t \times SE}[/tex]

So, we have:

[tex]\mathbf{CI = 217.7 \pm 2.262 \times 5.53}[/tex]

Split

[tex]\mathbf{CI = (217.7 - 2.262 \times 5.53, 217.7+ 2.262 \times 5.53)}[/tex]

[tex]\mathbf{CI = (205,19, 230.20)}[/tex]

Hence, the 95% confidence interval is [tex]\mathbf{(205,19, 230.20)}[/tex]

Read more about confidence intervals at:

https://brainly.com/question/2396419

Answer:

5x - y = 21  

Step-by-step explanation:

Given the linear equation in point-slope form, y + 6 = 5(x - 3):

In order to transform the given equation into its standard form, Ax + By = C, start by distributing 5 into the parenthesis:

y + 6 = 5(x - 3)

y + 6 = 5x - 15

Subtract 5x from both sides:

- 5x + y + 6 = 5x - 5x - 15

- 5x + y + 6 = - 15

Subtract 6 from both sides:

- 5x + y + 6  - 6 = - 15 - 6

- 5x + y = - 21

Divide both sides by -1:

[tex]\frac{-5x + y}{-1} = \frac{-21}{-1}[/tex]

5x - y = 21    

Answer:

1 hour

Step-by-step explanation:

am i right

Answer:

25%

Step-by-step explanation:

(original value - new value / original value) x 100

So

4 - 3 = 1

1/4 = 0.25

0.25 x 100 = 25

So there was a 25% decrease in the number of apples bought.

Hope it helps :)

Answer:

The car has traveled 405 miles if it has 2.5 gallons of gas left in the tank.

Step-by-step explanation:

16 - 2.5 = 13.5  ( The amount of gas the car has already used )

30 * 13.5 = 405  ( How far the car traveled with 13.5 gallons of gas )

Hope this helps!

Answer:

[tex]y=\frac{3}{8}x-\frac{17}{8}[/tex]

Step-by-step explanation:

The slope: m= 3/8

hope this helps.

Answer:

$40,000 + $300x

Step-by-step explanation:

If the machine salesperson sold 5 machines, his commission would be $300 × 5 so if he sold x machines his commissions would be $300x. This value is added on to his base salary of $40,000.

Answer: $40,000 + $300x

Answer:

25 percent the answer is 25 percent I'm pretty sure. cause it's just 112.5/450

Answer:

The factors of a^2b is a×a×b.

Answer:

Step-by-step explanation:

sum of angles of a triangle=180°

9x-2+3x-19+3x+6=180

15x-15=180

15x=180+15=195

x=195/15=13

m∠G=9x-2=9×13-2=117-2=115°

Answer:

The blur of the photo I do not understand sorry

Step-by-step explanation:

ty for the points

Lucía needs 13.33 feet of cotton.

Since Lucía makes braided key chains out of cotton cord, and for every 8 feet of cotton cord she has, she can make 3 braided key chains, to represent the relationship between the feet of cotton cord and the number of key chains and find the number of feet of cotton cord Lucia needs to make 5 key chains, the following calculations must be performed, through a cross multiplication:

Therefore, Lucía needs 13.33 feet of cotton.

Learn more in https://brainly.com/question/13019339

Answer:

3rd option

Step-by-step explanation:

a point (0, y ) lies on the y- axis

a point (x, 0 ) lies on the x- axis

a point (x, y ) lies in I quadrant

a point (- x, y ) lies in II quadrant

a point (- x, - y ) lies in III quadrant

a point (x, - y ) lies in IV quadrant

Then

point (2, - 5 ) lies in IV quadrant

-----------------------------------------------------------------

We require 2 equations with the repeating digit 7 placed after the decimal point.

let x = 0.427777... ( multiply both sides by 100 and 1000 )

100x = 42.777..... (1)

1000x = 427.777.... (2)

Subtract (1) from (2), thus eliminating the repeating digits

900x = 385 ( divide both sides by 900 )

x = [tex]\frac{385}{900}[/tex] = [tex]\frac{77}{180}[/tex]

Answer:

its 40

Step-by-step explanation:

180-100=80

80/2= 40

Answer:

30* or A

Step-by-step explanation:

If the triangles are congruent, corresponding angles and sides are equal.

So angle c is 60* because it is opposite of side x.

angle b is 180-90-60 because all angles add up to 180 in a triangle.

Using the probability concept, it is found that there is a [tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A probability is the number of desired outcomes divided by the number of total outcomes.

The probability of both events is the multiplication of the probabilities of each event, thus:

[tex]p = \frac{2}{11} \times \frac{1}{10} = \frac{2}{110} = \frac{1}{55}[/tex]

[tex]\frac{1}{55}[/tex] probability that Luella will pull out a Reese's  Cup, eat it, and then pull out another Reese's Cup.

A similar problem is given at https://brainly.com/question/15536019

Answer:

x = -2

Step-by-step explanation:

Add 10 to both sides of the equation

x−10=−12

−10+10=−12+10

Simplify

Solution:

x= -2

Answer:

you have to do it look up how to chart coordinates

Step-by-step explanation:

Answer:

ok brain less and point alr bet I will do this feal quick

Step-by-step explanation:

ok so the anser r very ez

first multiply and do tibi top in botton out dived the factor and thete for u will get *** and ****** **** *** for the first anser

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

Answer:

y = 3x + 5

Step-by-step explanation:

y = total cost

x =  basket of apples

5 = admission fee

y =  cost per basket  + admission fee  

y =  3x + 5