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2 years ago

Give the sum of -2 3/8 + 1 1/4 in simplest form

Mathematics

1 answer:

AfilCa [17]2 years ago

7 0

Find a common denominator
so -2 3/8 + 1 1/8
= -2 3/8 + 1 2/8
= -1 5/8

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Geometry

Kobotan [32]

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = $\boxed{52}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

Which equation can be simplified to find the inverse of y=5x^2+10

vodka [1.7K]

F^-1(x) should be the answer.

6 0

3 years ago

4 Which of the following could be the areas of the three squares shown?

Step2247 [10]

Answer:

83 due to the lack of explanation

Step-by-step explanation:

6 0

2 years ago

The sum of the two prime numbers between 110 and 130 is

Korvikt [17]

Prime numbers are those numbers which have only two factors, 1 and the number itself . For e.g. 3,5,7,11 etc are all prime numbers.

Between 110 and 130 we have a total of two prime numbers which are 113 and 127, since both have only two factors .

And sum of 113 and 127 is

$113+127= 240$

So the required answer is 240 .

7 0

2 years ago

A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the equation y = -0.06x^2 +

bixtya [17]

It's asking how far horizontally from the starting point which means that y, the height in meters is 0.
set 0 = -0.06x^2 + 10.1x + 5 and solve for x using the quadratic formula

-b +- $\sqrt{b^{2} -4ac}$ / 2a
-10.1 +- $\sqrt{10.1^2 - 4(-0.06)(5)$ / 2(-0.06)
you get that x = 168.83 m and -0.49 meters. Since the horizontal distance cant be negative, 168.83m is your answer

6 0

3 years ago