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BartSMP [9]
3 years ago
5

Can someone help me answer this please

Mathematics
1 answer:
Citrus2011 [14]3 years ago
6 0

Answer:

N = 3/8

Step-by-step explanation:

let the number be N

let's express the word sentence as a mathematical expression:

"a number multiplied by 2/5"

= "N" multiplied by 2/5

= N x (2/5)

= (2N/5) ------- (1)

"a number multiplied by 2/5 is 3/20" can be written as:

(2N/5)    =  3/20  (multiplying both sides by 5)

2N = (3/20) x 5

2N = 3/4      (divide both sides by 2)

N = (3/4) ÷ 2

N = (3/4) x (1/2)

N = 3/8

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Ok, so first we distribute, you multiply the seven into everything in the parentheses next to it. So far we have, 14a+21+3(4a-2). You distribute the three into the parentheses to get, 14a+21+12a-6. You combine the like terms to get, 26a-15. You cannot simplify it any further so the answer is 26a-15.
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3 years ago
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What is an equation of a line,in point-slope from, that passes through (1, -7) and has a slope of -2/3
il63 [147K]

Answer:

y + 7 = - \frac{2}{3}(x - 1)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

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Here m = - \frac{2}{3} and (a, b) = (1, - 7), thus

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3 years ago
Flying with the wind, a small plane flew 404 mi in 2 h. Flying against the wind, the plane could fly only 386 mi in the same amo
Alika [10]

Answer: rate of the plane is 197.5 mph

rate of wind is 4.5 mph

Step-by-step explanation:

Let x represent the rate of the plane in calm air.

Let y represent the rate of the wind.

Flying with the wind, a small plane flew 404 mi in 2 h. This means that the total speed with which the plane flew is (x + y) mph.

Distance = speed × time

Distance travelled by the plane while flying with the wind is

404 = 2(x + y)

Dividing both sides of the equation by 2, it becomes

202 = x + y- - - - - - - - - - - 1

Flying against the wind, the plane could fly only 386 mi in the same amount of time. This means that the total speed at which the plane flew is (x - y) mph.

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Distance travelled by the plane while flying against the wind is

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Dividing both sides of the equation by 2, it becomes

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Adding equation 1 to equation 2, it becomes

395 = 2x

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x = 197.5

Substituting x = 197.5 into equation 1, it becomes

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y = 202 - 197.5

y = 4.5

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3 years ago
Problem Solving Method
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Answer:

76 cards

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First you would take 96-12 to get 84. Then, take 84+ 2-9 to get 79. Then take 79 +4-6 to get 77.then take 77+1-2 to get 76 cards.

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He would have to lose 25 pounds!
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