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2 years ago

I have a mix of 12 nickels and dimes in my pocket. All together I have $1 . How many nickles and dimes do I have?

Mathematics

1 answer:

fenix001 [56]2 years ago

8 0

Answer:

Step-by-step explanation:

n + d = 12

0.05n + 0.1d = 1 ║ × ( - 10 )

n + d = 12 ..... <em>(1)</em>

- 0.5n - d = - 10 ..... <em>(2)</em>

<em>(1)</em> + <em>(2)</em>

0.5n = 2 ⇒ n = 4

d = 12 - 4 = 8

There are <em>4 nickels</em> and <em>8 dimes</em> in the pocket.

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2 years ago

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Answer:

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3 years ago

Weapon of math destruction trig. day 1

ivolga24 [154]

The questions are illustrations of trigonometry ratios and right triangles

The value of x is 11.8310
The tree is 23.3154 feet tall
The depth of the sub is 376.7770 meters

Trigonometry ratio

Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.

<h3>Question 1</h3>

The value of x is calculated using the following sine trigonometry ratio

$\sin(25) =\frac{5}{x}$

Make x the subject

$x =\frac{5}{\sin(25)}$

This gives

$x =11.8310$

Hence, the value of x is 11.8310

<h3>Question 2</h3>

This question is illustrated by the first diagram in the attached figure

The height (h) of the tree is calculated using the following tangent trigonometry ratio

$\tan(25) =\frac{h}{50}$

Make h the subject

$h = 50 \times \tan(25)$

This gives

$h = 23.3154$

Hence, the tree is 23.3154 feet tall

<h3>Question 3</h3>

This question is illustrated by the second diagram in the attached figure

The depth (h) of the sub is calculated using the following tangent trigonometry ratio

$\tan(37) =\frac{h}{500}$

Make h the subject

$h = 500 \times \tan(37)$

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$h = 376.7770$

Hence, the depth of the sub is 376.7770 meters

Read more about trigonometry ratios at:

brainly.com/question/6241673

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2 years ago

Please show how you solved the problem. <br><br><br><br><br><br><br><br> 4a - 14 = 7a - 8

lianna [129]

4a - 14 = 7a - 8

4a - 7a = 14 -8

-3a = 6

a = 2

ok done. Thank to me :>

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2 years ago

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3 years ago