A train covers a dictance of 820KM in 8 hours. How much distance will ir cover in 1 hour?​

Answer:

The unknown side is 140

Step-by-step explanation:

Let the unknown side be x

Using ratios

90         90+36

------ = -----------

x            x+56

90         126

------ = -----------

x            x+56

Using cross products

90(x+56) = 126x

Distribute

90x+5040 = 126x

Subtract 90x

5040 = 36x

Divide by 36

140 =x

Answer:

πr + (2l + b)

Step-by-step explanation:

The figure is a composite figure, consisting of a semicircle and a rectangle :

The perimeter of a rectangle is the sum of the sides ;

Perimeter of semicircle is the 2πr/2 (Circumference / 2)

For the triangle, we take the sum of 3 sides ;

Length + length + breadth = 2l + b

Hence, the perimeter is :

2πr/2 + 2l + b

πr + (2l + b)

Answer:

Step-by-step explanation:

4986 ounces/m³

Step-by-step explanation:

1 kilogram = 35.274 ounces

1 cubic foot = 0.0283 cubic metre

We are converting kg/ft³ to ounces/m³

Hence:

4kg/ft³ × 35.274 ounces/ 1 kg × 1 ft³/0.0283m³

= 4985.7243816 ounces/m³

Approximately to the nearest whole number = 4986 ounces/m³

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The density of the material is approximately 123 ounces per cubic meter.

Density [tex](\(D\))[/tex] is defined as mass [tex](\(m\))[/tex] per unit volume [tex](\(V\))[/tex], and it is calculated using the formula:

[tex]\[ D = \frac{m}{V} \][/tex]

In this case, the density is given in kilograms per cubic foot. To convert this to ounces per cubic meter, we need to perform the following steps:

Step 1: Convert kilograms to ounces:

1 kilogram = 35.27396 ounces

Step 2: Convert cubic feet to cubic meters:

1 cubic foot = 0.0283168 cubic meters

Now, let's substitute the given values and perform the conversion:[tex]\[ \text{Density in ounces per cubic meter} = \frac{4 \, \text{kg} \times 35.27396 \, \text{ounces/kg}}{1 \, \text{cubic foot} \times 0.0283168 \, \text{cubic meters/cubic foot}} \][/tex]

Solving this equation gives us the density in ounces per cubic meter:

[tex]\[ \text{Density} \approx 123 \, \text{ounces/m}^3 \][/tex]

Rounded to the nearest whole number, the density of the material is approximately 123 ounces per cubic meter.

In summary, we converted the given density from kilograms per cubic foot to ounces per cubic meter using unit conversions.

This involved converting the mass units and volume units before performing the calculation to obtain the final density value in the desired units.

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Answer:

If the probability is that it WILL rain 1/5.  Then the remaining chances are the number it will not rain.  The denominator tells us that there are at total of 5 chances.  That leaves a 4/5 chance it will not rain.

Step-by-step explanation:

Answer:

5940 rupees

Step-by-step explanation:

99 multiplied by 29×5 is 5940

Answer:

[tex]\text{(b) }[/tex] ₹[tex]5,940[/tex]

Step-by-step explanation:

Each pair of scissors on the chart represents 5 haircuts, as indicated by the key. There are 2 scissors on Saturday and 10 scissors on Sunday, hence a total of 12 scissors over the weekend. Therefore, there were [tex]12\cdot 5=60[/tex] haircuts over the weekend.

Since the salon charges 99 rupees per cut, they made a total of [tex]99\cdot 60=\boxed{5,940}[/tex] rupees over the weekend.

Answer:

-2 and -4

Step-by-step explanation:

Given the function f(x) = x² + 6x + 8

If f(x) = 0

x² + 6x + 8 = 0

Factorize

x² + 4x + 2x+ 8 = 0

x(x+4)+2(x+4) = 0

(x+2)(x+4) = 0

x+2 = 0 and x+4 = 0

x = -2 and -4

Hence the zero of the function is -2 and -4

Answer:

B. 2.618 units

Step-by-step explanation:

the arc length = (5π/6) / 2π × 2×3.14×1

= 5/12 × 6.28

= 31.4/ 12

= 2.618 units

The arc length is = 2.618 units

Arc measure is a degree measurement, equal to the central angle that forms the intercepted arc. Arc length is a fraction of the circumference of the circle.

Given : r=1, [tex]\theta[/tex]= 5π/6

Now, arc length

= [tex]\theta[/tex]/ 2π * 2πr

= (5π/6) / 2π × 2×3.14×1

= 5/12 × 6.28

= 31.4/ 12

= 2.618 units

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Answer:

9

Step-by-step explanation:

63+9=72

72/8=9

hope this helped

Answer:

[tex]8n - 9 = 63 \\ 63 + 9 = 8n \\ 72 \div 8 = n \\ n = 9[/tex]

Answer:

[tex]\text{C. }\pm \frac{1}{2}[/tex]

Step-by-step explanation:

Start by moving the 2 to the right (so we can multiply both sides by the denominator):

[tex]\frac{1}{2x^2-1}=-2[/tex]

Multiply both sides by [tex]2x^2-1[/tex]:

[tex]1=-2(2x^2-1),\\1=-4x^2+2[/tex]

Move everything to one side:

[tex]4x^2-2+1=0,\\4x^2-1=0,\\4x^2=1,\\x^2=\frac{1}{4},\\x=\boxed{\pm\frac{1}{2}}[/tex]

Answer:

the answer for this is C.

Answer:

c < 56

Step-by-step explanation:

Maya buys candy that costs $8 per pound. She will buy less than 7 pounds of candy. What are the possible amounts she will spend on candy? Use c for the amount (in dollars) Maya will spend on candy. Write your answer as an inequality solved for c.

c < 7 × $8

c < $56

Answer:

post the question i can do it

Step-by-step explanation:

Answer:

9. a) 180 - (55+90) = a

b) a=35 degrees

10. a) 2w + 3w + 40 = 180

b) w=28

c) 2w=56      3w=84

Step-by-step explanation:

Answer:

the person above is 100% right trust me :)

Step-by-step explanation:

Answer:

Exponential

Step-by-step explanation:

By visual inspection the graph generated by the points plotted is an exponential graph as the graph curves upward. The graph is also continous and differs from either a decreasing or increasing Linear graph, which shows a straight best of fit pattern. Hence, the graph most closely represents an exponential graph from visual examination.

The best-fitting regression model for the considered data plot is given by:

Option A: Exponential.

When the data shows some trend, either linear (making a line), or non-linear (a predictable curve), we fit a mathematical curve on that data set, as a representative of the pattern in that data set, to predict the output based on the inputs.

The considered plot is not forming a straight line(so no linear fitting), but we can see that a smooth curve can be fitted in the considered data. Since the exponential functions' graph approximately goes the same way (for positive exponent, and increasing value of output).

Thus, the best-fitting regression model for the considered data plot is given by: Option A: Exponential.

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Answer:

4 option

Step-by-step explanation:

Answer:

make y the subject first

Step-by-step explanation:

y=5/7(x) -27/7

parallel lines have equal gradient m1=m2

y-y1=m(x-x1)

y-(-3)=5/7(x-4))

y=5/7(x) -20/7 -3

final answer

y=5/7(x) -41/7

Answer:

In other words y = 2-x

Put in some values of x and see which graph matches the given ys.

The last graph

Answer:

b

Step-by-step explanation:

rounding 0.0692494 to 3SF is 0.069

Answer:

Answer:

m∠6 = 116°

Step-by-step explanation:

first find x:

7x - 17 = 2x + 78

subtract 2x from both sides: 5x - 17 = 78

add 17 to both sides: 5x = 95

divide by 5: x = 19

plug x into 7x - 17

7(19) - 17 = 116

∠6 and 7x - 17 are vertical angles and therefore congruent, so m∠6 also = 116°

Answer: 239

Step-by-step explanation:

3x7=21

(16+5)x16=336, 336/2=168

5x10=50

add them all together to get 239

hope this helps!

Answer: 44º

Step-by-step explanation:

Hi there! To start out, disregard Y and Z, as they are just there to trip you up.

Use the Triangle Sum Theorem to find out the question! This theory states that all angles in a triangle add up to 180 degrees. So, just set up an equation, like the one down below!

82+54+X=180

Then, add the whole numbers!

136+X=180

Then isolate X by using inverse operations!

136+X-136=180-136

Then your answer is there!

X=44

If you have any follow up questions, please let me know! Have a nice day

Answer:

0.43 seconds

Step-by-step explanation:

Given Data

Initial height= 4feet

initial velocity u= 30ft per second

Final height = 17 feet

The distance travelled is the

Final-initial height

=17-4

=13ft

Hence the time taken is calculated using the expression below

Speed= distance/time

30=13/t

t= 13/30

t= 0.43 seconds

Hence the time taken is 0.43 seconds

Step-by-step explanation:

here is the answer babe. Feel free to ask for more

Answer:  - 1.

Step-by-step explanation:

[tex]\frac{\dfrac{x+y}{x-y} }{\dfrac{y+x}{y-x} } =\dfrac{x+y}{x-y} \div \dfrac{y+x}{y-x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{y-x}{y+x}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{x+y}{x-y} \times \dfrac{-(x-y)}{x+y}\\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = \dfrac{-(x+y)(x-y)}{(x-y)(x+y)} \\\\{\: \: \: \: \: \: \: \: \: \: \: \: \: } = -1[/tex]

Answer:

It will be 1020

Step-by-step explanation:

2 extra large = 85 ounces

multiply by 6 to get to 12 cups

85*12=1020

Answer:

mean = 5

median = 4.5

mode = 4

Step-by-step explanation:

Mean :

n = 8

sum of all items = 4+6+5+4+4+5+4+8

= 10+9+9+12

= 19+ 21

= 40

so,

mean = sum of all items/ n

= 40/8

= 5

mean = 5

Median:

ascending order: 4,4,4,4,5,5,6,8

n = 8

md = (n+1)/2 the term

= (8+1)/2 th term

= 9/2 th term

= 4.5 th term

= (4th + 5th) / 2

= (4+5)/2

= 9/2

= 4.5

median = 4.5

x. f.

4. 4

5. 2

6. 1

8. 1

here the highest frequency is 4 and 4 is corresponding to 4

so, mode = 4

Answer: d=2 and e= -3

Step-by-step explanation:

(8d-4e=28)*3 => 24d-12e=84

(6d+3e=3)*4 => 24d+12e=12

24d+24d-12e+12e=84+12

=> 48d=96

=> d=2

d=2 => 8*2-4e=28

=> e= -3

Answer:

g = 3 + b

b + 3 = g

3 + b = g

Step-by-step explanation:

Answer:

[see below]

Step-by-step explanation:

Rewriting the rule so 'b' would be the subject:

[tex]g = b + 3\\\\g - 3 = b + 3-3\\\\g-3=b\\\\\boxed{b=g-3}[/tex]

Hope this helps.