Area of composite shape

The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps. At this rate, how many times will she not fall i

Inessa05 [86]

<u>Answer:</u>

Rhonda will not fall 264 times in 360 jumps.

<u>Solution:</u>

Given, The ratio of jumps to falls for ice skater Rhonda is 4 falls to every 15 jumps.

We have to find At this rate, how many times will she not fall in 360 jumps.

Now,

For 15 jumps → 4 falls

For 360 jumps → n falls

Now apply Chris cross method,

$15 \times n=360 \times 4 \rightarrow n=\frac{360 \times 4}{15}=24 \times 4=96$

So, she falls 96 times in 360 jumps.

Then, number of times she will not fall = 360 jumps – 96 falls = 264 times.

Hence, Rhonda will not fall 264 times in 360 jumps.

8 0

3 years ago

To determine the number of squirrels in a conservation area a researcher cashers tags and releases 114 squirrels you later catch

Ede4ka [16]

Answer:

336 squirrels

Step-by-step explanation:

-This is a Mark-Recapture method.

-The population is estimated using the formula:

$N=\frac{MC}{R}$

where:

N-is the estimated population size.
M-is the number of individuals tagged
C- is the total number captured the second time(both tagged and untagged)
R-is the total number of tagged individuals recaptured.

#We substitute our values as follows to estimate N:

$N=\frac{MC}{R}\\\\=\frac{114\times 97}{33}\\\\=335.0909\approx336$

Hence, there are approximately 336 squirrels in the conservation area.

*population is always rounded up to the next whole number.

5 0

3 years ago

Find the maximum production level p = 100x^{0.34}y^{0.66} if the total cost of labor (at $72 per unit) and capital (at $40 per u

Anton [14]

Maximum production p=552728

Step-by-step explanation:

The equation for maximum production is : $p=100x^{0.34} y^{0.66}$

The number of units of labor is x @$72

The number of units of capital is y @$40

The total cost of labor and capital is limited to $270,000, this can be written as;

72x+40y ≤ $270,000

Graphing the inequality to find values of x and y ,from the graph;

x=3750 units

y=6750 units

Applying the expression for maximum production

$p=100*x^{0.34}* y^{0.66} \\\\p=100*3750^{0.34} *6750^{0.66} \\\\p=552727.56\\\\p=552728$

Learn More

Inequalities graphs :brainly.com/question/11386040

Keywords: maximum, production,cost, labor,limited to,capital ,unit

#LearnwithBrainly

6 0

2 years ago

PLEASE HELP ME!!!!!!!!!! I WILL MAKE BRAINLIEST

Luda [366]

#1) Non-linear
#2) ?
#3) Linear
#4) a) linear b) linear. c) linear. d) linear
#5) ?

sorry couldn't get the rest of the answers... internet is being dumb today

7 0

3 years ago

Read 2 more answers

Jill bought oranges and bananas. she bought 12 pieces of fruit and spent $5. Oranges cost $0.50 each and bananas cost $0.25 each

inysia [295]

The first part is 0.5x+0.25y= $12.00

3 0

2 years ago

Area of composite shape​

Area of composite shape