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Deffense [45]
3 years ago
8

The ratio of the length of Adam's banner to the length of Sam's banner is 5:9. Sam's banner is 40 inches longer than Adam's bann

er. How long is Adam's banner?
Mathematics
1 answer:
goblinko [34]3 years ago
7 0

Answer:

25

Step-by-step explanation:

5:9

x:40

what is the realationship between 9 and 40? -9x5=40

so 5x5=25 so x=25

5:9x5:5=25:40

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Solve the equation.<br> 9x=25
lidiya [134]

Answer:

x = \frac{25}{9}

Step-by-step explanation:

Divide both sides by 9 to isolate x:

\frac{9x}{9} = \frac{25}{9}  \\x = \frac{25}{9}\\

Hope this helps!

8 0
3 years ago
Charles and Seth are building a ramp for Sasha and Samantha. The base of the triangle is 11ft and it's height is 5ft. How long i
Arlecino [84]

Answer: 12.1 ft

Step-by-step explanation:

A ramp represents a right-angled triangle so Pythagorean formula can be used to find the diagonal length which will also be the hypotenuse.

c² = a² + b²

Where:

c = hypotenuse

a = base

b = Height

c² = 11² + 5²

c² = 121 + 25

c² = 146

c = √146

c = 12.1 ft

5 0
3 years ago
What is 16/225 simpified?
Shkiper50 [21]
I believe it 16/225 in fraction form

3 0
3 years ago
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3 years ago
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A line passes through the points (1, –6) and (4, 3).
Marina CMI [18]

Answer:

y = 3x - 9

Step-by-step explanation:

We first need to find the slope (m)

m = \frac{y_2-y_1}{x_2-x_1} = \frac{3 - (-6)}{4-1} = \frac{9}{3} = 3

y = mx + b

y = 3x + b

(4, 3)

y = 3x + b

3 = 3(4) + b

3 = 12 + b

-12  -12

-9 = b

(1, –6)

y = 3x + b

-6 = 3(1) + b

-6 = 3 + b

-3   -3

-9 = b

y = 3x - 9

To check:  (1, –6)

y = 3x - 9

-6 = 3(1) - 9

-6 = 3 - 9

-6 = -6

Hope this helps!

6 0
2 years ago
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