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Anvisha [2.4K]
3 years ago
14

The difference of two numbers is 2 and the product of the numbers is 41.25. A. Write an equation representing the product B. Fin

d the two numbers
Mathematics
2 answers:
Zina [86]3 years ago
6 0
Yx=41.25
7.5×5.5=41.25
Art [367]3 years ago
6 0

Let us say first number is x.

Let us say second number is y.

We are given that:

The difference of the two numbers is 2.

x-y=2

x=2+y.................(1)

We are also given that:

product of the numbers is 41.25

x*y=41.25............(2)

Plugging the value of x from equation (1) in (2)

(2+y)*y=41.25

2y+y^{2}=41.25

On solving we will get,

y=5.5 and y=-7.5

So if y=5.5,

x= 2+y = 7.5

Answer : The first number is 7.5 and the second number is 5.5


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The ratio of girls to boys in the 6th grade is to 6to7 how many girls are there if there are 364total students
Rina8888 [55]

Answer:

168 girls.

Step-by-step explanation:

There are a total of 6 + 7 = 13 'parts'.

So one part = 364 / 13 = 28.

So the number of girls = 6 * 28

= 168.

4 0
3 years ago
Please i really need help with this
iris [78.8K]

Answer:

y = 2x + 4

Step-by-step explanation:

First, we need to find out the original equation. On this graph, we can see that the original y-intercept is -1. We can also figure out the slope by counting how many units up on the graph the higher point is from the lower point, in this case, 4, and how many units right it is, in this case, 2, so our slope is 4/2, which can be simplified to 2/1, or a slope of 2. Using the slope and y-intercept, we can create the equation for the original line. The equation will be y = 2x - 1. To get our final answer, we simply need to substitute 4 in the place of -1, and we get our final equation, y = 2x + 4.

4 0
2 years ago
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Julie built a tower of blocks that stood 22.5 cm tall. Each block is 1.5 cm tall.
Pavel [41]
We must divide the total height by the size of the blocks to work out how many are in the tower
22.5 / 1.5 = 15 blocks
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Jett has to sell carnival tickets worth at least $50. The price of a child ticket is $4, and the price of an adult ticket is $6.
Tpy6a [65]

Answer: 4x + 6y >/ 50

Step-by-step explanation:

The answer is A. 4x + 6y is greater than or equal to 50

7 0
3 years ago
Y = 2/3 x -3 y = -3/2 x +2 what statement about the lines are true
Hoochie [10]

Answer:

The product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where

  • m is the slope
  • b is the y-intercept

Given the lines

y = 2/3 x -3       --- Line 1

y = -3/2x +2      --- Line 2

<u>The slope of line 1</u>

y = 2/3 x -3       --- Line 1

By comparing with the slope-intercept form of the line equation

The slope of line 1 is: m₁ = 2/3

<u>The slope of line 2</u>

y = -3/2x +2      --- Line 2

By comparing with the slope-intercept y = mx+b form of the line equation

The slope of line 2 is: m₂ = -3/2

We know that when two lines are perpendicular, the product of their slopes is -1.

Let us check the product of two slopes m₁ and m₂

m₁ × m₂ = (2/3)(-3/2 )

m₁ × m₂ = -1

Thus, the product of the slopes of lines is -1.

i.e. m₁ × m₂ = -1

Thus, the lines are perpendicular.

7 0
2 years ago
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