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Harman [31]
3 years ago
13

Every Monday evening, a mathematics teacher stops by the dry cleaners, drops off the shirts that he wore for the week, and picks

up his previous week's load. If he wears a clean shirt every day, including Saturday and Sunday, what is the minimum number of shirts that he can own?
Mathematics
1 answer:
ikadub [295]3 years ago
7 0
(T+W+T+F+S+S+M)+(T+W+T+F+S+S+M)=14
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the constant of proportionality is always the point_______, where k is the constant of proportionality. Additionally, you can fi
MArishka [77]

Answer:

Step-by-step explanation:

When two variables say x and y are proportional let us assume y dependent variable and x independent variable

then we have y =kx

Here k is called the constant of proportionality.

Whenever x increases/decreases by 1 unit, the y value also increases/decreases by k units.

Whenever x=1, y =k

and always \frac{y}{x} =k

Thus we can fill up as

the constant of proportionality is always the point___(1.k)____, where k is the constant of proportionality. Additionally, you can find the constant of proportionality by finding the ratio of___y to x____, for any point on the___graph of the function.___.

5 0
2 years ago
My sister can walk from school to home in 35 minutes. I can walk from school to home in 20 minutes. But today I stayed for some
Verizon [17]

Answer:

you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

Step-by-step explanation:

Let "d" be distance from school to home.

Let's find the speed of you and your sister.

Speed = \frac{Distance}{Time}

Your speed = \frac{d}{20}

Your sister's speed =  \frac{d}{35}

Today, You stayed for some extra help by the time your sister covered \frac{3}{7} of the way home.

Remaining distance to reach the home = 1 - \frac{3}{7}d  = \frac{7-3}{7}d = \frac{4}{7}d

=

Now let's find the time to be taken your sister to reach the home.

Time = \frac{distance}{speed}

= \frac{\frac{4}{7}d }{\frac{1}{35} d} = \frac{4}{7} *\frac{35}{1} = 20

So, your sister will take 20 minutes to get home by the time your start.

We know that it takes you 20 minutes to reach your home.

Therefore, you both will reach the home at the same time.

I) You can catch your sister.

ii) Reason: you both will reach home at the same time.

7 0
2 years ago
If m∠D = 18°, and m∠C = 45°, what is ?
Fynjy0 [20]
<span>the question is, If m∠D = 18° and m∠C = 45° what is arc BC? your answer is B. 54 degrees </span>
4 0
3 years ago
Read 2 more answers
-64=(2cos(pi/2)+2i sin(pi/2))^n..... n=??​
zvonat [6]

Answer:

The real solution is n=6.

Step-by-step explanation:

\cos(\frac{\pi}{2})=0 while \sin(\frac{\pi}{2})=1

So the equation becomes:

-64=(2(0)+2i(1))^n

-64=(0+2i)^n

-64=(2i)^n

We know that 2^6=64. So let's see what n=6 gives us:

(2i)^6=64i^6=64i^4i^2=64(1)(-1)=-64.

-64  is the result we wanted.

n=6 is therefore a solution.

4 0
3 years ago
Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​
Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

\frac{x}{y} = 5 ( multiply both sides by y )

x = 5y ←

and \frac{y}{z} = \frac{1}{3} ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0
3 years ago
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