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3 years ago

Can someone please help me with these work rate questions!

Mathematics

1 answer:

Tresset [83]3 years ago

4 0

Answer:

1/8 rooms per hour

Step-by-step explanation:

We are given that Beatrice can wallpaper 1 room in 8 hours. The work rate is how many rooms Beatrice can wallpaper in one unit of time (in this case, one hour).

Another way of saying 1 room in 8 hours is 1 room/8 hours. We want to find the rate over one hour, so we want to make the denominator ( in hours) equal to 0.

With fractions, we can divide/multiply both the numerator and denominator by the same amount, and still keep the fraction. Therefore, we want to make 8 hours 1 hour by multiplication or division. Since anything divided by itself is equal to 1, we can say that 8/8 is equal to 1. Therefore, we can divide both the numerator and denominator by 8 to get

(1 room/8) = (8 hours / 8)

= (1/8 rooms) / 1 hour

Therefore, the work rate is 1/8 rooms per hour

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Vesna [10]

Answer:

see explanation

Step-by-step explanation:

given that V is directly proportional to u and inversely proportional to f , then the equation relating them is

V = $\frac{ku}{f}$ ← k is the constant of proportion

(a)

to find k use the condition when u = 1 and f = 3 , V = $\frac{1}{6}$ , then

$\frac{1}{6}$ = $\frac{k}{3}$ ( cross- multiply )

6k = 3 ( divide both sides by 6 )

k = $\frac{3}{6}$ = $\frac{1}{2}$

V = $\frac{u}{2f}$ ← equation of proportion

(b)

when f = 4 and V = 1 $\frac{1}{4}$ = $\frac{5}{4}$ , then

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5 0

2 years ago

HELP WILL GIVE BRAINLIEST!!!!<br><br> How many 1/2 cups are in 3/4 cups?

Whitepunk [10]

Answer:

1 1/2 or 1.5

Step-by-step explanation:

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than half of that is 1/4 which is 1/2 of 1/2 a cup

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4 0

3 years ago

M is the incenter of triangle ABC. Find the lengths of MD and DC. (Look at pic)

Deffense [45]

Answer:

Part 1) $MD=9\ units$

Part 2) $DC=12\ units$

Step-by-step explanation:

Step 1

Find the length of MD

we know that

The incenter is the intersection of the angle bisectors of the three vertices of the triangle. Is the point forming the origin of a circle inscribed inside the triangle

In this problem

$MD=ME=MF$ ------> is the radius of a circle inscribed inside the triangle

we have that

$MF=9\ units$

therefore

$ME=9\ units$

$MD=9\ units$

Step 2

Find the length of DC

we know that

In the right triangle MDC

Applying the Pythagoras theorem

$MC^{2} =MD^{2}+DC^{2}$

we have

$MD=9\ units$

$MC=15\ units$

substitute

$15^{2} =9^{2}+DC^{2}$

$DC^{2}=225-81$

$DC=\sqrt{144}\ units$

$DC=12\ units$

6 0

4 years ago

If you apply the changes below to the absolute value parent function, f(x) = [xl,

Rus_ich [418]

Answer:

B: g(x) = Ix - 4I + 6

Step-by-step explanation:

First, let's describe in a general way the transformations.

Vertical shift.

For a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

If N is positive, the shift is upwards

If N is negative, the shift is downwards.

Horizontal shift.

For a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

If N is positive, the shift is to the left.

If N is negative, the shift is to the right.

Now we have the function:

f(x) = IxI

And we first have a shift of 4 units to the right, this is written as:

g(x) = f(x - 4)

Now we have a shift of 6 units up

This is written as:

g(x) = f(x - 4) + 6

Now, knowing that f(x) = IxI, we can write

g(x) = Ix - 4I + 6

Option B.

7 0

3 years ago

A new taxi company, Littleton Cabs, just opened in town. A cab ride for mile costs 8.5+2 m dollars.Polly took a 14-mile cab ride

victus00 [196]

Answer:

10.5 this is the answer

Step-by-step explanation:

10.5

3 0

3 years ago