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3 years ago

I GIVEEEE BRAINKLILSETR

Mathematics

1 answer:

svlad2 [7]3 years ago

6 0

Answer:

G) 5 hours

Step-by-step explanation:

120 / 2 = 60 mph, since the plane travels at 60 mph for it to travel 300 miles it will be: 300/60 which equals 5

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Mike and Ken shared some stamps. \frac{1}{5} 5 1 of Ken's stamps were \frac{1}{3} 3 1 of Mike's stamps. If Mike gave Ken 24

Zielflug [23.3K]

Answer:

Mike had 72 stamps

Ken had 120 stamps

Step-by-step explanation:

Given

$M \to Mike$

$K \to Ken$

$\frac{1}{5} * K = \frac{1}{3} * M$

$K + 24 = 3 * ( M - 24)$

Required

Find K and M

Make K the subject in: $K + 24 = 3 * ( M - 24)$

$K = 3 * ( M - 24) - 24$

Substitute $K = 3 * ( M - 24) - 24$ in $\frac{1}{5} * K = \frac{1}{3} * M$

$\frac{1}{5} * [3 * ( M - 24) - 24] = \frac{1}{3} * M$

Open brackets

$\frac{1}{5} * [3M - 72 - 24] = \frac{1}{3} * M$

$\frac{1}{5} * [3M -96] = \frac{1}{3} * M$

Multiply both sides by 15

$3* [3M -96] = 5 * M$

$9M -288 = 5M$

Collect like terms

$9M -5M= 288$

$4M= 288$

Divide both sides by 4

$M= 72$

Substitute $M= 72$ in $K = 3 * ( M - 24) - 24$

$K = 3 * (72 - 24) - 24$

$K = 3 * 48 - 24$

$K = 120$

3 0

3 years ago

On a particular day, the wind added 5 miles per hour to Alfonso's rate when he was cycling with the wind and subtracted 5 miles

Nata [24]

now, this is pretty much the same as the one before it with Jaime, so I'll do this without much fuss.

recall d = rt.

a = Alfonso's rate

with the wind his speed is a + 5, against it is a - 5, 60 miles with it and 30 miles against it, all in the same time of t hours.

$\bf \begin{array}{lcccl} &\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\ &------&------&------\\ \textit{with the wind}&60&a+5&t\\ \textit{against the wind}&30&a-4&t \end{array} \\\\\\ \begin{cases} 60=(a+5)t\implies \frac{60}{a+5}=\boxed{t}\\\\ 30=(a-4)t\\ -------------\\ 30=(a-4)\left( \boxed{\frac{60}{a+5}} \right) \end{cases} \\\\\\ 30(a+5)=(a-4)60\implies 30a+150=60a-240 \\\\\\ 390=30a\implies \cfrac{390}{30}=a\implies 13=a$

8 0

3 years ago

Molly's dad is five times as old as Molly is. Her dad is also as old as the sum of the ages of Molly and her older twin brothers

Llana [10]

Answer:

30 years old

Step-by-step explanation:

5x = x + 2(12)

5x = x + 24

4x = 24

x = 6

5(x)

5(6) = 30

5 0

2 years ago

Suppose Wesley is a marine biologist who is interested in the relationship between the age and the size of male Dungeness crabs.

schepotkina [342]

Answer: 19.82 months

Step-by-step explanation:

Usually in regression analysis candidates are provided with data and they are asked to determine the equation of the line of regression. This is not the case here. The question is pretty much straight forward.

Provided the line equation:-

$Y= 9.1367 + 0.4817X\\= 9.1367 + 0.4817(22.1725)\\= 19.81719325 \\=19.82$

This shows the that the predicted size of the male crab will be 19.82 cm when the crab is 22.1725 months old.

6 0

3 years ago

Please help, I’ll mark you as brainiest!!!

nadezda [96]

Answer:

144,000.00

Step-by-step explanation:

100-20=80%

0.8x180000=144,000

4 0

3 years ago

Read 2 more answers