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Scorpion4ik [409]

3 years ago

9

working together,2 groomers can brush 8 horses in 3 hours. How many hours would it take 3 groomers to brush 12 horses at this ra

te? please explain to me how it is done.

1 answer:

baherus [9]3 years ago

5 0

Okay, so I don't know if you guys have a special way (i.e. cross multiplication or something) but I would do this.
If 2 groomers can brush 8 horses in 3 hours, how many can one groomer brush in 3 hours? Just cut your horses in half and you get 4. In 3hours, one groomer can brush 4 horses. But how many can 3 groomers do in 3 hours? To get that, just multiply 3 (your number of groomers) by 4 (how many horses one groomer can do), and you get 12 (the number of horses your groomer can groom in 3 hours. So there you go, the answer is 3. It'll take three groomers 3 hours to brush 12 horses.

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11. The length of a rectangle is 2 more than the width. The perimeter is 32. Find the

Oduvanchick [21]

Answer:

length = 9, width = 7

Step-by-step explanation:

length = l, also w+2 width = w

perimeter = 2w + 2l

create an equation: 32 = 2(w) + 2(w+2)

simplify

32 = 2w+2w+4

32 = 4w+4

28=4w

w=7

solve for length

l = w+2

l=7+2

l=9

4 0

3 years ago

Given that (x+y+z)(xy+xz+yz)=18 and that x^2(y+z)+y^2(x+z)+z^2(x+y)=6 for real numbers x, y, and z, what is the value of xyz?

worty [1.4K]

Answer:

4

Step-by-step explanation:

$(x+y+z)(xy+xz+yz)=18$ Equation 1

$x^2(y+z)+y^2(x+z)+z^2(x+y)=6$ Equation 2

What is the value of $xyz$ where each variable represents a real number?

Let's expand equation 1:

$(x+y+z)(xy+xz+yz)=18$

$x(xy)+x(xz)+x(yz)+y(xy)+y(xz)+y(yz)+z(xy)+z(xz)+z(yz)=18$

Simplify each term if can:

$x^2y+x^2z+xyz+y^2x+xyz+y^2z+xyz+z^2x+z^2y=18$

See if we can factor a little to get some of the left hand side of equation 2:

The first two terms have $x^2$ and if I factored $x^2$ from first two terms I would have $x^2(y+z)$ which is the first term of left hand side of equation 2.

So let's see what happens if we gather the terms together that have the same variable squared together.

$x^2y+x^2z+y^2x+y^2z+z^2y+z^2x+xyz+xyz+xyz=18$

Factor the variable squared terms out of each binomial pairing:

$x^2(y+z)+y^2(x+z)+z^2(y+x)+xyz+xyz+xyz=18$

Replace the sum of those first three terms with what it equals which is 6 from the equation 2:

$6+xyz+xyz+xyz=18$

Combine like terms:

$6+3xyz=18$

Subtract 6 on both sides:

$3xyz=12$

Divide both sides by 3:

$xyz=4$

4 0

3 years ago

In 1970, a farmer using a two-row combine with a corn head could easily harvest 0.75 ha (1.85 acres) per hour and a typical corn

Anastaziya [24]

Answer:

The value is $w = 6.7 \%$

Step-by-step explanation:

Generally the productivity rate is mathematically represented as

$P_r = K * Z$

Here K is the ha the farmer could harvest in an hour and Z is a typical yield of corn in kg/ha

Now considering 1970

The productivity rate is

$P_r = 0.75 *5000$

=> $P_r = 3750 \ kg/h$

Now considering 1940

The productivity rate is given as $P_R = 250 \ kg/h$

Generally the productivity ratio is mathematically ration is mathematically represented as

$w = \frac{P_R}{P_r} * 100$

=> $w = \frac{250}{3750} * 100$

=> $w = 6.7 \%$

5 0

3 years ago

Point A, B and C are colinear, and B lies between A and C. If AC= 48, AB= 2x+2 and BC= 3x+6, what is BC?

Degger [83]

First, u have to find x so u set up this equation:
2x+2+3x+6=48
Then solve to get:
5x+8 = 48
5x=40
X=8

Then, u substitute 8 in the expression 3x+6:
3(8) +6
Ur final answer is 30.

6 0

3 years ago

Find the length of YZ

emmainna [20.7K]

Larger triangle’s base length

a^2 + b^2 = c^2
a^2 + 3^2 = 8^2
a^2 = 8^2 - (3^2)
sqrt(a^2) = sqrt(55)
a = sqrt(55)
__________________

Smaller triangle’s base length:

The same formula applies.
a^2 + 3^2 = 5^2
a^2 = 5^2 - (3^2)
sqrt(a^2) = sqrt(16)
a = 4
____________

The finale!

Add the two side lengths of a, which is sqrt(55) + 4 (exact answer)
or... 11.416 (unrounded to thousandths place)

Good luck to you!

5 0

3 years ago