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
Please help me with this and thank you
castortr0y [4]

Answer:

the correct answer is C. 45

Step-by-step explanation:

so 1/5 means there are 5 peice to make a whole...

so if you cut an apple into 5 parts, each slice of that apple is 1/5

so if you cut 9 apples into 5 slices its just multiplication...

5*9=45

**for my visual learners** in the parenthesis are groups of 5 sticks

( ///// ) **those are your apple slices** **now just do that exactly 9 times**

( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// ) ( ///// )

   5       10      15       20      25       30      35      40      45

i really hope this helps <3

8 0
3 years ago
20 points and Brainliest if answered and explained!
Rasek [7]
What you need to know for this case is that the sum of the internal angles of a triangle is 180 °
 We then have the following equation that is given by:
 (2x) + (3x) + (4x) = 180
 Clearing x we have:
 9x = 180
 x = 180/9
 x = 20
 Therefore we have:
 m∠A = (40) °
 m∠B = (60) °
 m∠C = (80) °
 Answer:
 B) m∠B = 60 °
6 0
3 years ago
The points (-10, 0) and (-5, 3) fall on a particular line. What is it’s equation in slope-intercept form?
yaroslaw [1]

Answer:

  y = 3/5x + 6

Step-by-step explanation:

When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...

  y = (y2 -y1)/(x2 -x1)·(x -x1) +y1

Filling in the given point coordinates, this is ...

  y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0

  y = 3/5(x +10)

  y = (3/5)x + 6

5 0
3 years ago
What is the difference?
slega [8]

Answer:

<h3>The answer is option D.</h3>

Step-by-step explanation:

First we must first find the LCM

The LCM of x² + 3x + 2 and (x + 2)(x + 1 ) is

x² + 3x + 2

So we have

\frac{x}{ {x}^{2} + 3x + 2 }  -  \frac{1}{(x + 2)(x + 1)}  \\  \\  =  \frac{x - 1}{ {x}^{2} + 3x + 2 }

Hope this helps you

3 0
3 years ago
Read 2 more answers
At 11:55 p.m., Thomas ties a weight to the minute hand of a clock. The clockwise torque applied by the
ryzh [129]

Answer:

  T(t) = 3sin((t-5)π/30)

Step-by-step explanation:

5 minutes after Thomas ties it on, the torque is zero and increasing. So, the sine function is shifted right 5 minutes. The maximum value is 3, so that is the multiplier of the sine function. The period is 60 minutes, so the coefficient of t is (2π/60) = π/30. The function you want is ...

  T(t) = 3sin((t-5)π/30)

7 0
3 years ago
Other questions:
  • If x is 50 then what is x4+44+3.5
    9·1 answer
  • I need help with everything
    12·1 answer
  • 11. D'(2.9) is the image of D after a reflection
    8·1 answer
  • Rewrite 2x^2+13x+26/x+4 in the form q(x)+r(x)/b(x) . Then find q(x) and r(x).
    8·2 answers
  • In the figure, m&lt;2=92 and m&lt;12=74. Find the measure of each angle. Tell which postulate (s) or theorem (s) you used.
    5·2 answers
  • What does the numerator of the fraction 5/6 mean?
    7·1 answer
  • Evaluate y4 for y = -2.<br> А)<br> -8<br> B)<br> 8<br> 16<br> D)<br> -16
    8·1 answer
  • A square has a are of 36 what is the biggest circle that can fit inside
    15·2 answers
  • -10 + x + 4 - 5 = 7x - 5<br>Step by Step please​
    9·2 answers
  • PLS HELP I WILL GIVE 50 POINTS!
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!