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Max made a journey of 700km partly by train and partly by bus.He started his journey at 8.00am. by train which travelled at 50km/hr. After alighting from the train, he took a lunch break of 30 minutes. He then continued his journey by bus which travelled at 75km/hr.The whole journey took 11.75hours. Determine the distance travelled by bus.

so this is the answer
time taken by the train=x
time taken by the bus=y
subtract 30 minutes from the total time taken..hence x+y=10.75
form an equation
x+y=10.75
50x+75y=700
y=6.5
75×6.5=487.5
​

Answer:

im lost only because you made this so long

Step-by-step explanation:

Answer:

intersect at (-1,-3)

Step-by-step explanation:

y = 4x + 1. the points should be at (0,1) and (-0.25,0) and is an infinite line in both directions.

y = -2x - 5. the points should be at (-2.5,0) and (0,-5) and is an infinite line in both directions.

both the lines meet at (-1,-3) so make a point at that location

Answer:

i dont know

Step-by-step explanation:

try breaking it into smaller shapes

Step-by-step explanation:

the area of a full circle (360°) is

pi×r² = pi×5² = pi×25

a 40° segment is then just 40/360 = 1/9 of the full circle.

so,

pi×r²×1/9 = pi×25/9 = pi×2.777777777...

so, either there is a mistake in the problem description, or your teacher wants you to cut off the decimals (after the decimal point), in which case D would be the right answer.

since our radius is 5, that makes r² always 25.

there are no integer factors I can divide 25 by to create any of the 4 solutions of 16 or I or 4 or 2.

and there is no integer factor I can divide 360 by to get 25.

so, something is wrong here regarding the problem description. either the radius or the angle or the solution options are wrong and not fitting to each other.

Answer:

[tex]5.4 \times {10}^{ - 17} {m}^{2} [/tex]

[tex]s = \frac{1}{2} \times 3.6 \times10^{ - 9} \times 3 \times {10}^{ - 8} = 5.4 \times {10}^{ - 17} {m}^{2} [/tex]

4x + 6 = 18

-6 is solution ?

4 * (-6) + 6 = 18 ?

-24 + 6 = - 18

so not the solution

3 is solution ?

4 * 3 + 6 = 18 ?

4 * 3 + 6 = 12 + 6 = 18

YES

Answer:

B. [tex]\displaystyle x = 3[/tex]

Step-by-step explanation:

[tex]\displaystyle 18 = 6 + 4x \hookrightarrow \frac{12}{4} = \frac{4x}{4} \\ \\ \boxed{3 = x}[/tex]

I am joyous to assist you at any time.

Answer:

5/6

Step-by-step explanation:

11/12 - 1/12 = 10/12

10 divided by 2 = 5
12 divided by 2 = 6

5/6

Answer:

⅚

Step-by-step explanation:

¹¹/12 - ¹/12 = ¹⁰/12

÷2 →

5/6

The line plot is used to show the lengths of the scrap woods using check marks above the line

From the question, we have the following frequency table

Lengths      Frequency

[tex]4\frac 18[/tex]                       2

[tex]4\frac 14[/tex]                       3

[tex]4\frac 38[/tex]                       1  

[tex]4\frac 12[/tex]                       6

[tex]4\frac 58\\[/tex]                       1

[tex]4\frac 34[/tex]                      2

[tex]4\frac 78[/tex]                      2

[tex]5[/tex]                         1

Next, we plot the number line.

Such that the lengths of the scrap woods are on the x-axis while their frequencies are on the y-axis

See attachment for the line plot

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Answer:

Step-by-step explanation:

Answer:

4.696% (B)

Step-by-step explanation:

13/17 = 0.76470588

12/15 = 0.8

0.8 - 0.76470588 = 0.03529412

0.03529412 /  0.76470588 = 0.04615285

0.04615285 · 100 = 4.61538494

(I rounded 13/17, the closest answer is 4.696)

percentage increase:

final value - starting value / starting value · 100

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

[tex]\rm pH=log[H^{+}][/tex]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

[tex]\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M[/tex]

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

https://brainly.com/question/940314

Answer:

B ✔️

Step-by-step explanation:

Answer:

Step-by-step explanation:

The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

Given that;

When Donetle stands at point R, he is 1000 feet from point S at the base of a cliff.

And, When he looks up at an angle of 20 degrees, he sees a friend at the top of the mountain cliff at point T

Hence, By graph we get;

⇒ tan 20° = Mountain Height / 1000

⇒ 0.36 = Mountain Height / 1000

⇒ 0.36 × 1000 = Mountain Height

⇒ Mountain Height = 360 feet

Thus, The value of measurement of the closest to the height of the mountain cliff in feet is,

⇒ Mountain Height = 360 feet

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#SPJ2

The number of lateral faces for a hexagonal prism or pyramid is 6.

A prism is a three dimensional figure consisting of pair of opposite bases and lateral faces which are parallelogram.

Given that the base off the prism has two sides of length 3 inches and four sides of length 2 inches. Hence the base is hexagonal. The lateral faces would be 6.

The number of lateral faces for a hexagonal prism or pyramid is 6.

Find out more on prism at: https://brainly.com/question/23963432

Answer:

38.69

Step-by-step explanation:

=$38.69411765

=$38.69 (to the nearest cent)

(100/85) \$32.

I got -7. I tried probably wrong

The amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

A discount refers to an amount deducted from the normal selling price of an object.

Let x be the original price of one game and y be the original price of one security program.

Given pay $35.70 each for two games and $22.96 for a security program.

The total pay with discount

$35.70 + $22.96 = $58.66

Also, 100% - 15% = 85%

100% - 18% = 82%

here, we have

0.85 (2x) = 35.70

1.70x = 35.70

x = $21

0.82 y = 22.96

y = $28

the total pay without discount

2x + y = 2 (21) + 28

          = $70

The amount saved is 70 - 58.66 = 11.34

Therefore, the amount we saved after paying $35.70 each for two games and $22.96 for a security program is $11.34.

Learn more about discounts;

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Answer:

d. $11.34

Step-by-step explanation:

The first coefficient is 2 and the last term is 6. They multiply to 2*6 = 12.

Now we must find two factors of 12 that add to 7 (the middle coefficient).

Through trial and error, you should find that:

3*4 = 12

3+4 = 7

So 3 and 4 are the numbers we're after. We'll split the 7m into 3m+4m and use the factor by grouping method as shown in the steps below.

2m^2 + 7m + 6

2m^2 + 3m + 4m + 6

(2m^2 + 3m) + (4m + 6)

m(2m + 3) + 2(2m + 3)

(m + 2)(2m + 3)

(2m + 3)(m + 2)

The order of the factors doesn't matter since something like 2*3 is the same as 3*2.

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

Verifying the answer:

You can use technology like you did to check the answer, but here's one way to do it without a calculator.

(2m + 3)(m + 2)

n(m + 2) ...... let n = 2m+3

mn + 2n .... distribute

m( n ) + 2( n )

m(2m+3) + 2(2m+3) .... plug in n = 2m+3

m*2m + m*3 + 2*2m + 2*3 .... distribute

2m^2 + 3m + 4m + 6

2m^2 + 7m + 6

We arrive back at the original trinomial, so we have confirmed the answer.

Answer:

60.6 cm length

43.2 cm width

Step-by-step explanation:

The scale is 1 m = 6 cm

Take the length in meters, multiply it by 6, and change the unit to cm.

10.1 m becomes 10.1 × 6 cm = 60.6 cm

7.2 m becomes 7.2 × 6 cm = 43.2 cm

Answer:

k=2

Step-by-step explanation:

[tex](k + 2) {}^{2} - (k - 2)x - 5 = 0[/tex]

If we have two zeroes that are equal in size, but different signs then we have a different of squares,

[tex](a + b)(a - b) = {a}^{2} - b {}^{2} [/tex]

So in order to do this we must make the middle term, x 0 so

[tex]k - 2 = 0[/tex]

[tex]k = 2[/tex]

Answer:

6.002722642yd

Step-by-step explanation:

Area to Radius:

Area of a circle = (pi)r(squared)

28.3= pi x r2

28.3/pi = r2

9.0081...=r2

square root of 9.0081...= radius

radius= 3.001361321yd*

Radius to Diameter:

diameter = radius x 2

d = 3.001361321* x 2

d = 6.002722642yd*

*i used the full numbers after the decial point because i didnt know if it had to be to like 1 or 2 decimal places or even 3 so i left it like that just in case but you can just write 3 x 2 or 6yd as your final answer!

Hope this helped :)

The frequency of these visible light waves that our eyes see is equal to [tex]4.47\times 10^{-14}\;Hz[/tex]

Wavelength refers to the distance between two (2) successive crests (troughs) of a wave.

Mathematically, the frequency of a wave is given by this formula:

[tex]F = \frac{V}{\lambda}[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]F=\frac{3 \times 10^8}{6.7 \times 10^{-7}} \\\\F=4.47\times 10^{-14}\;Hz[/tex]

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Answer:

9:50

Step-by-step explanation:

Answer:

9:50

Step-by-step explanation:

Heres de answer

Answer:

Likely

Step-by-step explanation:

took the test

Answer:

Angles 7, 2, and 6

Step-by-step explanation:

       Angle 7 is congruent by corresponding angles to angle 3.

       Angle 2 is congruent by vertical angles to angle 3.

       Angle 6 is congruent by vertical angles to angle 7, which is congruent to angle 3, so angle 3 and angle 6 must also be congruent.

Answer:

7,2,6

Step-by-step explanation:

Answer:

Prakash is a pilot change into yes no question

Answer:

$5.71 a day

Step-by-step explanation:

240/6 = 40

40/7 = 5.71428571429

Round 5.71428571429 = 5.71

The amount of juice by Benito is an illustration of volumes

The amount of juice made is 900 milliliters

The question is incomplete, as the figure and the dimensions are not given.

So, I will give a general solution

Assume the following parameters

The amount of juice would be:

V = πr^2h

This gives

V = 3.14 * 4^2 * 18

Evaluate

V = 904.32

Approximate

V = 900

Hence, the amount of juice made is 900 milliliters

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