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
Luba_88 [7]
3 years ago
14

: Diego is collecting dimes and nickels in a jar. He has collected $22.25 so far. 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
Mathematics
1 answer:
Troyanec [42]3 years ago
3 0

Answer:

A. (0,445)

D.(118,209)

E.(172,101)

Step-by-step explanation:

The equation that we have in this problem is:

0.10d + 0.05n = 22.25

where

d is the number of dimes

n is the number of nickels

$22.25 is the total amount of money collected by Diego in the jar.

In order to find which pairs of values can be solutions to the equation, we just need to substitute each pair (d,n) into the left term on the equation, and check if the result is 22.25. Let's do it:

A. (0,445)

0.10\cdot 0 + 0.05\cdot 445 =0+22.25=22.25 --> YES

B. (0.50,435)

0.10\cdot 0.50 + 0.05\cdot 435 =0.05+21.75=21.80 --> NO

C. (233,21)

0.10\cdot 233 + 0.05 \cdot 21 =23.3+1.05=24.35 --> NO

D.(118,209)

0.10\cdot 118 + 0.05\cdot 209 =11.8+10.45=22.25 --> YES

E.(172,101)

0.10\cdot 172 + 0.05\cdot 101 =17.2+5.05=22.25 --> YES

So the correct pairs are:

A. (0,445)

D.(118,209)

E.(172,101)

You might be interested in
Suppose a greeting card is 4 inches long on one side about how long should the other side of the card be in order for it to be g
Leviafan [203]
A triangle has 3 side, this makes no sense. Explain please. 
4 0
3 years ago
A vegetable garden with an area of 200 square feet is to be fertilized. If the length of the garden is 1 foot less than three ti
charle [14.2K]
Ok so I like to go in steps with these questions- first draw a picture and identify your variables.

W=width
L= 3w-1

Now we know that length times width gets us area so we plug in our variables into the area equation.

200 = w(3w-1)

When you foil that equation you end up with a quadratic : 3w^2-w-200 = 0

Either factor that or use the quadratic formula to get
w= 8.33 and w= -8

Since you can't have a negative dimension you need to use 8.33 and plug it back into your length equation.

Final answer:

w= 8.33ft
l= 23.99ft

*Now I simplified the decimals a little bit so you end up with 199.8ft^2 for the area so just add a few decimals on here and there*
5 0
3 years ago
Read 2 more answers
Solve using the standard algorithm <br> 1.03 +0.08
nataly862011 [7]

Answer:

1.11

Step-by-step explanation:

1.03+0.08=1.11

4 0
3 years ago
5 Consider this system of equations:<br> 5x + y = -2<br> 2x - 2y=4
Ilia_Sergeevich [38]

Answer:

x  = 0

  y  = -2

Step-by-step explanation:

The given system of equation are:

   5x + y = -2

   2x - 2y = 4  

The problem here is to find x and y from the expression

   5x + y = -2     ----- i

   2x - 2y = 4    ---- ii

 So;

i x 2 :  10x + 2y  = -4     ----  iii

ii x 5 :  10x - 10y  = 20    ----- iv

   iii - iv;   12y  = -24

                  y  = -2

    Now find x;

             5x + y  = -2

             5x  - 2  = -2

                  x  = 0

 

7 0
3 years ago
Please help giving brainlest!!<br> no links <br> no unnecessary comments<br> thank you<br> :)
seraphim [82]

Answer:

Last point is at (7,-3)

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • What is 40/3 as a mixed number?
    13·2 answers
  • Leslie is a biologist. She is going to randomly select one animal from her lab to study. There are 5 salamanders, 3 crayfish, an
    10·2 answers
  • What is the answer to 9 over 15= 3 over 5
    9·1 answer
  • Find the value of x rounded to the nearest tenth
    9·2 answers
  • Which linear inequality is represented by the graph?
    5·2 answers
  • Can someone please help me
    8·1 answer
  • What is the circumference of a child's swimming pool that has a radius of 3 feet
    7·1 answer
  • The table shows the cost of a watermelon on the 4th of July and the day after. What was the percent of change of the price of a
    14·1 answer
  • Is the number of hits to a website in a day a discrete random​ variable, a continuous random​ variable, or not a random​ variabl
    10·1 answer
  • A home improvement store sold wind chimes for $30 each.A costumer signed up for a free membership card and recieved a 5% discoun
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!