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kolezko [41]
3 years ago
8

The sum of two numbers is 200 and the two numbers are in a ratio of 4:6. Find the larger number.

Mathematics
1 answer:
Katarina [22]3 years ago
6 0
Let's call these numbers 4x and 6x, sum of 4x and 6x will be equal to 200, meaning  10x=200, If we divide both sides by 10, x will be equal to 20 and, the larger number 6x will be equal to, 6*20=120

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Whats the slope of 3,2 and -1,-4
Oksana_A [137]

Answer:

1.5

Step-by-step explanation:

m=y/x

-4-2/-1-3

-6/-4

8 0
3 years ago
There were only 86 confirmed cases of Measles in the year 2000. In 2019, there was a reported 1,350 % increase in confirmed
ad-work [718]

Answer:

1161 confirmed cases

Step-by-step explanation:

In 2000 the number of cases was 86

Percent means out of a hundred, so if we divide 1350 by 100 we get 13.5.

So, we must multiply 13.5 and 86 to get the amount of cases in 2019.

13.5*86 = 1161 confirmed cases in 2019

4 0
2 years ago
Indicate whether the lines are parallel, perpendicular, or neither. Justify your answer.
sveticcg [70]
Note that when two lines have slopes of m₁ and m₂, then
(i) If m₁ = m₂, then the lines are parallel.
(ii) If m₁*m₂ = -1, then the lines are perpendicular.

Let us evaluate the given lines.
a. y = 4x - 1 and 12x = 3y + 7
    y = 4x - 1  => m₁ = 4
    Write the second equation in standard form.
    3y = 12x - 7
      y = 4x - 7/3 => m₂ = 4.
    m₁ = m₂.
    Answer: PARALLEL

b. x - 7y = 10 and 2x + 14y = 21
   In standard form,
   7y = x - 10 or y = (1/7)x - 10/7      => m₁ = 1/7
   14y = - 2x + 21  or y = -1/7 + 3/2  => m₂ = -1/7
   m₁ ≠ m₂ and m₁*m₂ ≠ -1.
   Answer: NEITHER

c. 5x + 6y = 18 and 18x - 15y = 36
    In standard form,
    6y = -5x + 18 or  y = -(5/6)x + 3     => m₁ = -5/6
    15y = 18x - 36 or y = (6/5)x - 12/5  => m₂ = 6/5
    m₁*m₂ = -1
    Answer: PERPENDICULAR

d. x =1 and y = 1
    x = 1 => m₁ is undefined
    y = 1  => m₂ = 0
    m₁ ≠ m₂ and m₁*m₂ ≠ -1
   Answer: NEITHER

6 0
4 years ago
Rolando has $120,000 in a CD at Big Bucks Bank, which just failed. If the FDIC insurance limit per depositor, per bank, is $250,
damaskus [11]

Answer:

120,000

Step-by-step explanation:

Rolando would get back 120,000. Because the insurance limit is 250k, Rolando only put in 120k, so he should get everything back.

8 0
3 years ago
What is the area of the triangle​
AnnZ [28]
8.64 sqft

Base x Height x 1/2 = Triangle Área

4.8 x 3.6 x 1/2 = 8.64
3 0
3 years ago
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