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3 years ago

Express each rate in per unit form.

Mathematics

2 answers:

BigorU [14]3 years ago

7 0

36:1
60:1
10.53:1
:)

Tanzania [10]3 years ago

5 0

36:1, 60:1, 10.53:1 hope this helps

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11. A ranger in a lookout tower spots two fires on the campground below. Fire Als 75 meters east

iogann1982 [59]

Answer:

The fire hydrant = 9 meters west and south of the tower = 58 m

Step-by-step explanation:

The coordinate as the origin includes the Fire A and Fire B

Given that

Fire A is 75 meters east and south of the tower is 40 meters

So, it is presented (75,-40)

And, the fire B is 37 west and south of the tower is 64 meters

So, it is presented (-37,-64)

Now at a point O (x,y) divides AB a line segment as A(x_1, y_1) and B(x_2, y_2)

So,

$x = \frac{n}{n+m} (x_2 - x_1) + x_1\\\\y = \frac{n}{n+m} (y_2 - y_1) + y_1$

Now it divides in three-fourth

So,

$x = \frac{n}{n+m} (x_2 - x_1) + x_1\\\\= \frac{3}{4} (-37-75) + 75\\\\= \frac{3}{4} (-112) + 75\\\\= -84 + 75\\\\= -9$

$y = \frac{n}{n+m} (y_2 - y_1) + x_1\\\\= \frac{3}{4} (-64-(-40)) + (-40)\\\\= \frac{3}{4} (-18) -40\\\\= -18-40\\\\= -58$

Hence, these two are to be considered

7 0

4 years ago

Find f(-3), f(-1), and f(1)

suter [353]

Answer:

I will just show you how to substitute.

Step-by-step explanation:

all you have to do is just plug f(x) into the number you want. So if you see any x's, all you gotta do is plug that number after f for x.

So an example of an equation for one of your number is:

$f\left(x\right)=x^2+x$

you then want to plug the number after f for the x's. (I'm doing f(-3).

$f\left(-3\right)=\left(-3\right)^2-3$

You then should get the equation above.

after that you solve.

$f\left(-3\right)=9-3$

$f\left(-3\right)=6$

just follow these steps and you should be fine :))

3 0

4 years ago

K=½ mv^2 solve for k Also tell me how you got it!

Mekhanik [1.2K]

Answer:

m = 2k/v²

Step-by-step explanation:

I think you mean solve for m, not k

Multiply both sides of the equation by 2

2 * 1/2 *(mv²) = 2 * k

Rewrite the expression.

1*(mv²) = 2*k

Multiply mv² by 1

mv² = 2*k

Divide each term by v² and simplify

mv²/v² = 2k/v²

mv²/v² cancel out and you get

m = 2k/v²

8 0

3 years ago

Look at the pic below and please help.

marshall27 [118]

Answer:

1) Equation's:

y = 500 + 15x

y = 350 + 18x

2) Number of guest and the charge:

Cost is same for both at 50 meals. The cost is $1250.

Part 1

Turn sentences into equation's (Let 'y' be total cost and x per meal) :

(i) charges $500 and $15 per meal

y = 500 + 15x

(ii) charges $350 and $18 per meal

y = 350 + 18x

Part 2

y = y

500 + 15x = 350 + 18x

18x - 15x = 500 - 350

3x = 150

x = 150/3

x = 50

Charge at guest's 50 meal:

y = 500 + 15(50)

y = $1250

Point : (50, 1250)

3 0

2 years ago

How will the perimeter of the rectangle change if each side is increased by a factor of 10? The perimeter will be 1/10 the origi

goldfiish [28.3K]

Answer:

The perimeter will be 10 times the original.

Step-by-step explanation:

Formula for Perimeter of rectangle is

2l + 2 w. From the diagram shown, the perimeter is 2×6 +2×3 = 12+6 =18cm

If if each side is increased by a factor of 10

Our length becomes 6×10= 60cm

Our width becomes 3×10= 30cm

New perimeter becomes

2×60 + 2×30

= 120+60 = 180cm

New perimeter(180 cm)= 10× original perimeter (18cm)

So The perimeter will be 10 times the original.

4 0

3 years ago

Read 2 more answers