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Georgia [21]
2 years ago
7

The sum of two numbers is 23. The difference of the numbers is 7.4. What are the two numbers?​

Mathematics
1 answer:
Brums [2.3K]2 years ago
5 0
X+y=23
X-y=7.4

X+y=23
y=23-X

X-y=7.4
(23-y)-y=7.4
23-2y=7.4
-2y=-15.6
Y=7.8

X+y=23
X+7.8=23
X=15.2

Therefore the two numbers are 7.8 & 15.2

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22. The height of a triangle is 4 centimeters less than the base. Write a function that
torisob [31]

The function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

let the base of the triangle be x

Height of the triangle = x - 4

Area of triangle = 1/2 × base × height

Area = 1/2 × x × (x-4)

Area = 1/2 (x² - 4x)

Area = 1/2 x² - 2 x

We can also write it as a function:

y = 1/2 x² - 2 x

Domain = (3 , ∞)

Range = [0, ∞)

Since 3 is not included in the domain, base of the triangle cannot be 3 cm.

Therefore, the function is y = 1/2 x² - 2 x and the base of the triangle cannot be 3 cm.

Learn more about function here:

brainly.com/question/2456547

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6 0
1 year ago
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Elanso [62]
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3 0
2 years ago
Are the ratios equivalent 16:14 64:60
RSB [31]
No, but 16/15 is equivalent
5 0
3 years ago
Read 2 more answers
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arlik [135]

Answer:

16 2/3

Step-by-step explanation:

5 0
3 years ago
There are white, blue, and red boats in a marina. Two-thirds of the boats in the marina are white, five-eighths of the remaining
sammy [17]
X = total boats
2/3x are white....so the remaining boats = 1/3x
5/8 of the remaining boats are blue.....5/8 * 1/3 = 5/24x are blue

2/3 + 5/24 = 16/24 + 5/24 = 21/24 are blue and white......so 3/24 are red
3/24x = 6
x = 6 * 24/3
x = 144/3
x = 48 total boats in the marina <==

2/3(48) = 32 white
5/24(48) = 10 blue
3/24(48) = 6 red


6 0
3 years ago
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