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alina1380 [7]
3 years ago
12

Select three ratios that are equivalent to 5:2.

Mathematics
1 answer:
timofeeve [1]3 years ago
8 0
10:4

35:14

55:22



10:4 divided by 2:2=5:2
35:14 divided by 7:7= 5:2
55:22 divided by 11:11= 5:2
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PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger numbe
antoniya [11.8K]

Answer: The numbers are 1 and 3.

Step-by-step explanation:

Let x = smaller number , y= larger number.

As per given,

x=\dfrac{y}{3}   ...(i)

x+y=y^2-5       ...(ii)

Put value of x from (i) in (ii)

\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}

Since numbers are positive , so y=3 is correct.

And x will be 1  [from (i)]

Hence, the numbers are 1 and 3.

7 0
3 years ago
What is the area of a right triangle with a base of 25 centimeters and a height of 13 centimeters?
sdas [7]

Answer:

<h3>162.5 cm²</h3><h3>Step-by-step explanation:</h3>

Area of a triangle = (BH)/2

Base= 25

Height=13

(25×13)/2= 162.5 cm²

6 0
3 years ago
X^2 -2x-24 factored completely
Dvinal [7]

Answer:

(x - 6)(x + 4)

Step-by-step explanation:

x^2 -2x-24

-24 = -6 * 4

- 6 + 4 = -2

So

x^2 -2x-24 = (x - 6)(x + 4)

5 0
3 years ago
A home appliance salesperson wants to earn a total of 3,600 next mouth including his base salary and commissions. He earns a bas
jenyasd209 [6]

$14,000 each month

$14,000 × 20% = $2800

$2800 + $800 = $3600

3 0
3 years ago
What is the perimeter of ΔABC?
Serggg [28]

Answer:

Choice D:  Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

Step-by-step explanation:

point B(9, 2)  , point C(4, 5),  point A (1,1)

Perimeter = D( A, C)  + D (A, B)  + D (B, C)

where D (A, C) =  distance between A and C

so...

D(A, C) = root ( (4 - 1)^2 + (5 - 1)^2) = 5   from a 3-4-5 right triangle.

D(A, B) = root( (9- 1)^2 + (2 -1)^2) = root( 64 + 1) = root(65)

D(B, C) = root( (9 -4)^2 + (2 -5)^2) = root (25 + 9) = root(34)

Perimeter = 5 + root(65) + root(34)

Perimeter = 5 + \sqrt{65} +  \sqrt{34}  units

6 0
3 years ago
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