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2 years ago

Increase 80 in the ratio of 3:2

Mathematics

1 answer:

Karolina [17]2 years ago

6 0

Answer:

Ratios describe proportions. We can always multiply across ratios, or divide across them (as long as we do it to all of them). For example, the ratio 3 : 2 is the same as 6 : 4 and 300 : 200. Accuracy Tip.

Step-by-step explanation:

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L1 : y = 2x , (2) find the equation of the line L2 perpendicular to L1 passing through the point P = (1, 2).

just olya [345]

Answer:

Step-by-step explanation:

Given the line L1 as y = 2x perpendicular to an unknown line L2 passing through the point P = (1, 2), we are to find the equation of line L2. to find the equation of the line L2, we will use the point-slope equation of a line expressed as y-y₀ = m(x-x₀)

m is the slope of the unknown line

(x₀, y₀) is the given point.

First is to get the slope of the known line:

comparing the line L1: y = 2x with the standard equation of the line y = mx+c, it can be seen that m = 2

Then we will calculate the slope of the required line.

Since L1 is perpendicular to L2, the product of their slope will be -1 i.e

mm₁ = -1 where m₁ is the slope of the required line L2.

Given m =2

m₁ = -1/m

m₁ = -1/2

Finally we will calculate the equation of line L2 by substituting the slope of line L2 and the point in the point slope equation above;

y-y₀ = m(x-x₀)

Given (x₀, y₀) = (1,2) and m₁ = -1/2

y-2 = -1/2(x-1)

open the parenthesis

y-2 = -x/2+1/2

multiply through by 2:

2y-4 = -x+1

2y+x = 1+4

2y+x = 5

<em>Hence the equation of the line L2 is 2y+x = 5</em>

8 0

3 years ago

Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695. find the num

Sophie [7]

Given :

Emily sells erasers for $2 per package and pencils for $5 per package. she sells 220 total packages and earns $695.

To Find :

The number of packages of erasers and pencils that were sold .

Solution :

Let, number of erasers are x and pencils are y.

So, x + y = 220 ....1

Also, 2x + 5y = 695 ....2

Solving equation 1 and 2, we get :

$2(220-y)+5y = 695\\\\440 - 2y + 5y = 695\\\\3y = 255\\\\y=85$

x = 220 - 85 = 135

Therefore, the number of packages of erasers and pencils that were sold are 135 and 85 respectively.

Hence, this is the required solution.

5 0

3 years ago

A set of marbles can be divided in equal shares among $2$, $3$, $4$, $5$, or $6$ children with no marbles left over. What is the

pashok25 [27]

Answer:

Step-by-step explanation:

The least common multiple of 2, 3, 4, 5, and 6 is 3×4×5 = 60.

2, 3, 5 are primes, there will be at least one factor of each of those in number you're looking for.

4 = 2², so there must be 2 factors of 2 in the number you're looking for.

6 = 2×3, so is already covered by the factors we have listed so far.

LCM = 2²×3×5 = 60

The least number divisible by numbers 2 through 6 is 60.

4 0

3 years ago

cookie monster makes the perfect cookies. he uses 2 cups of chocolate chips for every 3 dozen cookies. if he makes 54 cookies, h

Keith_Richards [23]

Answer:

i think the answer is 18 cups of chocolate

you'll have to divide 54 cookies by 3 dozen cookies then you get the answer

5 0

2 years ago

FUNCTION, DOMAIN, AND RANGE HELP NEEDED (25 POINTS)

Darina [25.2K]

Answer:

thanks for points lol

Step-by-step explanation:

thanks for

3 0

3 years ago

Increase 80 in the ratio of 3:2​

Increase 80 in the ratio of 3:2