1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
3241004551 [841]
3 years ago
9

Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. The relationship between the numbers of dimes an

d nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation. ( 0 , 445 ) ( 0.50 , 435 ) ( 233 , 21 ) ( 118 , 209 ) ( 172 , 101 )
Mathematics
1 answer:
svet-max [94.6K]3 years ago
5 0

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

The relationship between the numbers of dimes and nickels, and the amount of money in dollars is represented by the equation 0.10d+0.05n=22.25. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct

You might be interested in
which functions have a range of all real numbers ? check all that apply. A. y=csc x B. y=sec x C. y=tan x D. y= cot x
Natalka [10]

None of these. All of these functions are defined as ratio of trigonometric functions.

Trigonometric functions have infinite zeroes, so when you put them in the denominator, they lead to infinitely many points of ill-definition.

Specifically, we have:

\csc(x) = \dfrac{1}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

\sec(x) = \dfrac{1}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\tan(x) = \dfrac{\sin(x)}{\cos(x)}

which is undefined at

\cos(x)=0\iff x=\dfrac{\pi}{2}+k\pi, k\in\mathbb{Z}

\cot(x) = \dfrac{\cos(x)}{\sin(x)}

which is undefined at

\sin(x)=0\iff x=k\pi, k\in\mathbb{Z}

4 0
3 years ago
In a group of 50 patrons, 18 patrons like lattes, 16 patrons like espressos, and 8 patrons like both coffee drinks. How many pat
Tcecarenko [31]
Add the 18, 16, and 8 together
Then subtract that number from 50.

18+16+8=42
50-42=8

So, 8 patrons don't like either.
3 0
3 years ago
Read 2 more answers
PLEASE ANSWER!!! You are helping wish some repairs at home. you drop a hammer and it hits the floor at a speed of 12 feet per se
Andru [333]

Answer:

h = 2.25 m

Step-by-step explanation:

<u><em>Given:</em></u>

Speed = v = 12 ft/sec

Acceleration due to gravity = g = 32 ft/sec²

<u><em>Required:</em></u>

Height = h = ?

<u><em>Formula:</em></u>

v = \sqrt{2gh}

<u><em>Solution:</em></u>

For h, the formula will be:

=> h = \frac{v^2}{2g}

=> h = \frac{(12)^2}{2(32)}

=> h = \frac{144}{64}

=> h = 2.25 m

8 0
3 years ago
a football team gained 9 yards on one play and then lost 22 yards on the next.write a sum of intergers to find the overall chang
s2008m [1.1K]
Let x be the original position.

After the first play they gain 9 yards. The position can be represented by
x + 9

After the second play they lose 22 yards. The position can be represented by
x + 9 - 22 = x - 13

Therefore, in total they lost 13 yards.
5 0
3 years ago
What is the constant of proportionality in this relationship ???? Help fast !!!
photoshop1234 [79]

Answer:

3.28

Step-by-step

(3,18.85)

(2,12.57)

18.85-12.57/3-2=3.28

3 0
3 years ago
Other questions:
  • Please Help I will reward brainliest
    8·2 answers
  • A disadvantage of privately owned media is its __________.
    14·1 answer
  • Fiona sorted her cds into separate bins. She placed 4 cds in each bin. If she has 160 ,cds how many bins did she feel
    9·2 answers
  • Factoring with Algebra Tiles
    8·2 answers
  • Explain why the solution to the absolute value inequality |4x-9|&gt;-12 is all real numbers
    11·1 answer
  • The line graph shows a direct variation with a unit rate of 1.4. Two of the points the line passes through are (5, 7) and (10, 1
    7·2 answers
  • Divide using long division.
    7·2 answers
  • Peter shot 40 free throws. He made 80% of his shots. Which fraction is equivalent to
    10·1 answer
  • Write the equation of the line in slope intercept.
    5·2 answers
  • Find the answer for - √24 + √38 =
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!