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3 years ago

$480 is shared in the ratio 4:3:5

1 answer:

Rudiy273 years ago

3 0

Count the ratios together
4+3+5=12

Now multiply the $480 into the ratios over the total ratios

4/12 x 480= $160

3/12 x 480= $120

5/12 x 480=$200

4 : 3 : 5
$180:$120:$200

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Decide if each expression is equivalent to 2^6 or 4^4

Mandarinka [93]

Answer:

Step-by-step explanation:

2^6=64

4^4=256

4 0

2 years ago

Evaluate the spherical coordinate integral

expeople1 [14]

Rewrite the equations of the given boundary lines:

y = -x + 1 ==> x + y = 1

y = -x + 4 ==> x + y = 4

y = 2x + 2 ==> -2x + y = 2

y = 2x + 5 ==> -2x + y = 5

This tells us the parallelogram in the x-y plane corresponds to the rectangle in the u-v plane with 1 ≤ u ≤ 4 and 2 ≤ v ≤ 5.

Compute the Jacobian determinant for this change of coordinates:

$J=\begin{bmatrix}\frac{\partial u}{\partial x}&\frac{\partial u}{\partial y}\\\frac{\partial v}{\partial x}&\frac{\partial v}{\partial y}\end{bmatrix}=\begin{bmatrix}1&1\\-2&1\end{bmatrix}\implies|\det J|=3$

Rewrite the integrand:

$-3x+4y=-3\cdot\dfrac{u-v}3+4\cdot\dfrac{2u+v}3=\dfrac{5u+7v}3$

The integral is then

$\displaystyle\iint_R(-3x+4y)\,\mathrm dx\,\mathrm dy=3\iint_{R'}\frac{5u+7v}3\,\mathrm du\,\mathrm dv=\int_2^5\int_1^45u+7v\,\mathrm du\,\mathrm dv=\boxed{333}$

5 0

3 years ago

86° 34° Х X = ____ degrees help quick pls

Rufina [12.5K]

Answer:

60 degrees

Step-by-step explanation:

The angles all have to add up to 180, so you can do

$34 + 86 +x = 180\\120 + x = 180\\x = 60$

3 0

2 years ago

Read 2 more answers

Dori and Malory are tracking their steps taken as a health goal. Dori leaves her house at 12:00 p.m. and walks at 50 steps per m

docker41 [41]

Hi There!

Dori leaves her house at 12pm.

50 steps per minute until 12:20pm.

Dori has a 20 minute advantage over Malory, find the amount of steps she is ahead by,

12 - 12:20pm. steps = 20 minutes = 20 x 50 = 1000 steps

Malory leaves her house at 12:20pm.

Walks 90 steps per minute.

12:20 - 12:30 pm. = 10 minutes = 10 x 90 = 900

Dori 12:20 - 12:30pm. = 10 minutes = 10 x 50 = 500

500 + 1000 = 1500

Mallory 12:30 - 12:40 = 10 minutes = 10 x 90 = 900

900 + 900 = 1800

Dori 12:30 - 12:45pm. = 15 minutes = 15 x 50 = 500

1750 + 500 = 2250

Mallory 12:40 - 12:45pm. = 5 minutes = 10 x 90 = 900

450 + 1800 = 2250

Answer: they have the same number steps at 12:45 p.m.

Hope This Helps :)

3 0

2 years ago

Will give brainliest for 5marks

anastassius [24]

Answer:

$230

Step-by-step explanation:

Work hours Monday till Friday:

3.5 + 5 + 2.5 + 4 + 2 = 18 hours

Payment for 5 days:

15*$8 + (18 - 15)*$10 = $150

Payment for Saturday:

5*2*$8 = $80

Total payment:

$150 + $80 = $230

5 0

2 years ago

Read 2 more answers