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Viktor [21]
3 years ago
11

Taliyah has 174 coins in her collection of dimes and nickels. The total value of the collection is $15.20. How many dimes does s

he have in her collection?
Mathematics
1 answer:
Gala2k [10]3 years ago
3 0

Answer:

130 dimes

Step-by-step explanation:

A nickel is worth 5 cents = 0.05n

A dime is worth 10 cents = 0.10d

Taliyah has 174 coins in her collection of dimes and nickels.

n + d = 174

n = 174 - d

The total value of the collection is $15.20.

0.05n + 0.10d = $15.20

We substitute 174 - d for n

Hence:

0.05(174 - d) + 0.10d = 15.20

8.7 - 0.05d + 0.10d = 15.20

- 0.05d + 0.10d = 15.20 - 8.7

0.05d = 6.5

d = 65/0.05

d = 130 dimes

The number of dimes she has in her collection is 130 dimes

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frosja888 [35]

Remark

This will be a little late, but I'll answer it anyway. The more you see of the sine law, the clearer it will be.


Step One

Set up the sine Law.

\dfrac{Sin(x)}{12}=\dfrac{sin(75)}{22}


Step Two

Substitute values

Sin(x) = ??

sin(75) = 0.9659


\dfrac{Sin(x)}{12}=\dfrac{0.9659}{22}


Step Three

Cross multiply and Solve

22* Sin(x) = 12 * 0.9659

22* Sin(x) = 11.591 divide by 22

sin(x) = 11.591 / 22

sin(x) = 0.5269


Step Four

You have to know how to use the inverse of an angle to get the answer. I do it as my calculator would do it. If it doesn't work with yours, let me know.


x = sin^-1(0.5269)

2nd F

Sin^-1

(

0.5269

)

=

You should get 31.79 degrees.

5 0
3 years ago
The points ​(10​,14​) and ​(35​,49​) form a proportional relationship. Find the slope of the line through the points. Then use t
Readme [11.4K]

The slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

<h3>What is the slope?</h3>

The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).

\rm m =\dfrac{y_2-y_1}{x_2-x_1}

From the above formula, we can find the slope of the line:

m = (49-14)/(35-10)

m = 35/25

m = 7/5

The equation will be:

y = 7x/5 + c

here c is the y-intercept

Plug (10, 14) in the equation to find the value of c

14 = 7(10)/5 + c

c = 0

y = 7x/5  or

5y - 7x = 0

Thus, the slope is 7/5 and the equation of the line is 5y - 7x = 0 if the points ​(10​,14​) and ​(35​,49​) form a proportional relationship.

Learn more about the slope here:

brainly.com/question/3605446


#SPJ1

6 0
2 years ago
Jesse went to the post
skelet666 [1.2K]

Answer:

9 wagon stamps and 1 sailboat stamp!

Step-by-step explanation:

7×4= 28

28+3=31

3 0
3 years ago
What is the greatest common factor for 26rs and 30r^5s^6
LenaWriter [7]
Hello : 
<span>the greatest common factor for 26rs and 30r^5s^6 is : 2rs</span>
4 0
3 years ago
Q4
SCORPION-xisa [38]

Answer:

A. 8cm^{3} B. Yes

Step-by-step explanation:

2*2*2=8cm cubed

8*12*10=960 which is greater than 800

5 0
2 years ago
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