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IMC-2021-25
Thomas has constant speeds for both running and walking. When a down-escalator is moving. Thomas can
run down it in 15 seconds or walk down it in 30 seconds. One day, when the escalator was broken (and
stationary), it took Thomas 20 seconds to run down it.
How long, in seconds, would it take Thomas to walk down the broken escalator?
30
40
45
50
60

Answer:

x^3y^2

there are 3 X multiplied together and 2 y multiplied together

Answer:

1. s=43

2. s=148

3. s=137

Step-by-step explanation:

Answer: 8/15

Step-by-step explanation:

You need part a of the question to answer this question correctly. In part a of the question it is said there is 6 sandwiches, 3 desserts and 5 drinks.

Two of the desserts are sugar free (2/3).

Four of the drinks are sugar free (4/5)

Times these fractions together, 2/3x4/5= 8/15.

Hope this helps :)

The probability of selecting a sugar free dessert and drink is 2/5

Number of sandwiches = 6

Number of dessert = 3

Number of drinks = 5

Sugar free drinks = 3

Sugar free dessert = 2

Recall :

Probability = required outcome / Total possible outcomes

P(both dessert and drink are sugar free) :

(sugar free dessert) × p(sugar free drink)

(2 /3) × (3 / 5) = 6/15 = 2 / 5

Hence, the probability of selecting a sugar free dessert and drink is 2/5

Learn more : https://brainly.com/question/18153040

Answer:

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Step-by-step explanation:

Explanation:-

Given    (-4)⁻²

we will apply (a)⁻ⁿ = [tex]\frac{1}{a^{n} }[/tex]

       (-4)⁻² =  [tex]\frac{1}{(-4)^{2} }[/tex]

                [tex]= \frac{1}{(-1)^{2} (4)^{2} }[/tex]

               [tex]= \frac{1}{16}[/tex]

 [tex](-4)^{2} = \frac{1}{16}[/tex]

Answer:

1 ) x = 20

2) x = 31.92

plz follow me

Answer:

40

Step-by-step explanation:

5.17 can be rounded to 5

7.64 can be rounded to 8

5*8=40

so first u want to get a ruler to measure each sides, there gonna seem big at first so divide what you get on the ruler by 2 so its smaller, then do it for all sides.

Answer:

96 seconds are taken to empty the bucket.

Step-by-step explanation:

According to this question, Jackson and his sister are spraying from the bucket from the bucket at constant rate. Dimensionally speaking, discharge time ([tex]t[/tex]), measured in seconds, is the ratio of volume of bucket ([tex]V[/tex]), measured in gallons, to the volume flow from hose ([tex]\dot V[/tex]), measured in gallons per second. That is:

[tex]t = \frac{V}{\dot V}[/tex] (1)

If we know that [tex]V = 32\,gal[/tex] and [tex]\dot V = \frac{1}{3}\,\frac{gal}{s}[/tex], then discharge time is:

[tex]t = \frac{32\,gal}{\frac{1}{3}\,\frac{gal}{s} }[/tex]

[tex]t = 96\,s[/tex]

96 seconds are taken to empty the bucket.

Answer 433=20.81

Step-by-step explanation:

Answer:

5.6%  sorry if im wrong i tried

Step-by-step explanation:

40/100=0.4

0.4x14=5.6

Answer:

Step-by-step explanation:

Given

Equation

Number 5 stands for purple in the ratio:

Correct choice is B

Answer:

sketch them into a graph and use the vertical-line trick. If you don't know what this is, you see if two points pass through the same verticaly. If it does than it is NOT a function. If it doesn't it IS a function

If it does theStep-by-step explanation:

Answer:

Step-by-step explanation:

f(x)=2x+3

f(x)=0

2x+3=0

2x=-3

x=-3/2

x=-1.5

when x=0,y=f(x)=2(0)+3=3

so one point is (0,3)

when x=2,y=f(x)=2(2)+3=4+3=7

so point is (2,7)

Draw a line through  (0,3) and (2,7)

see where it cuts x-axis.

it is the zero of the linear equation.

zero is x=-1.5

Answer:

For the tickets sold collum, your going to do 1,2,3,4,5,6,7 and for the total revenue, your going to do 34.00 68.00 102.00 136.00 170.00 204.00 238.00

Step-by-step explanation:

Then for ordered pairs, you´re going to do 1, 34.00 2, 68.00 3, 102.00 and so on. Then you graph it, oh and K= 34.00

Answer:

The slope of the graph is 10.

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a pentagon is a polygon with 5 sides and 5 angles.

Given the polygon with 5 angles.

A pentagon is a polygon with 5 sides and 5 angles.

The angles of the given pentagon are:

∠P = (4x + 2)°

∠Q = 132°

∠R = (4x - 10)°

∠S = (5x - 11)°

∠T = 128°

We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.

Therefore,

∠P + ∠Q + ∠R + ∠S + ∠T = 540°

(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°

group similar elements

4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

simplify

13x + 241 = 540

subtract 241 from both sides

13x + 241 - 241 = 540 - 241

13x = 299

divide both sides by 13

13x/13 = 299/13

x = 23

Thus, the value of x = 23

Therefore, the measure of angle ∠S is:

m∠S = (5x - 11)°

        = (5(23) - 11)°

        = (115 - 11)°

        = 104°

Thus,

m∠S = 104°

Answer:

Option C : $0.50 per cookie is the right answer.

Step-by-step explanation:

Given that:

Equation used by Mrs. Wright is

y = 0.50x

Here,

y = cost of cookies

x = number of cookies

Thus,

Cost = Price per cookie * Number of cookies

On comparing

Cost per cookie = $0.50

Hence,

Option C : $0.50 per cookie is the right answer.

Answer:

20

Step-by-step explanation:

if the container can only hold 3000 pounds, and all of the boxes weigh 150 pounds, then you divide 3000 by 150 to find how many boxes can fit.

3000 divided by 150 = 20

hope this helps! :)

Answer:

20

Step-by-step explanation:

Answer:

Sorry but i can't help u.

Step-by-step explanation:

Answer:

z = -14

Step-by-step explanation:

-2(z + 11) = 6

-2z - 22 = 6

-2z = 6 + 22

-2z = 28

-2z/-2 = 28/-2

z = -14

Answer:

y=\frac{4x}{5}-5

Step-by-step explanation:

linear equation

y=mx+b

We can see that when x=0 y= -5

THis means that b= -5 so we have

y=mx-5

We then know that when x=5 y= -1 so we have

-1=5m-5

Solve this and get m= 4/5

So we have

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

Answer:

f(x) = [tex]\frac{4}{5}[/tex]x - 5

Step-by-step explanation:

f(5) = -1 and f(0) = -5 mean that f has points at (5, -1) and (0, -5).

You can find the slope using the two points:

slope = [tex]\frac{-1 - (-5)}{5 - 0}[/tex] = [tex]\frac{4}{5}[/tex]

Then use point-slope form to make equation:

y - (-5) = [tex]\frac{4}{5}[/tex](x - 0)

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

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

Answer:

565.3 cm

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. The types of triangles are scalene triangle, equilateral triangle, right angled triangle and obtuse triangle.

Sine rule states that given a triangle with sides a, b, c and their corresponding angles opposite to the sides as A, B, C. Then:

[tex]\frac{a}{sinA} =\frac{b}{sinB} =\frac{c}{sinC}[/tex]

In triangle KLM:

∠K + ∠L + ∠M = 180° (sum of angles in a triangle)

∠K + 107 + 18 = 180

∠K + 125 = 180

∠K = 55°

We can find the length of k using sine rule:

[tex]\frac{l}{sinL}=\frac{k}{sinK} \\\\substituting:\\\\\frac{660}{sin(107)}=\frac{k}{sin(55)} \\\\k=\frac{660}{sin(107)}*sin(55)\\\\k=565.3\ cm\\[/tex]