answer.
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
kramer
2 years ago
14

A bag contained some 20-cent and 50-cent coins .There were 14 fewer 50-cent coins than 20-cent coins .The total amount of money

in the bag was $27.30 .How many 50-cents were there.
Mathematics
2 answers:
eduard2 years ago
5 0

Answer:35.50

Step-by-step explanation:

On edg

FrozenT [24]2 years ago
4 0

The bag contains "some" 20-cent and "some" 50-cent coins. I assume that some means more than 1, so I start assuming the bag had 2 50-cent coins. Since there were 14 fewer 50-cent coins than 20-cent coins, for any guess of the number of 50-cent coins, you must use 14 more 20-cent coins.

1st guess: 2 50-cent coins + 16 20-cent coins

Value: 2 * $0.5 + 16 * $0.2 = $4.20

Since the difference in the numbers of coins is always 14, each time we add one 50-cent coin and 1 20-cent coin, the value goes up by $0.70.

$27.30 - $4.20 = $23.10

Our first guess is low in value by $23.10. How many additions of $0.70 (one coin of each) will it take to get the full value of $27.30?

$23.10/$0.70 = 33

By adding 33 pairs of coins to the 2 50-cent coins and 16 20-cent coins, the value will be $27.30.

Number of 50-cent coins = 2 + 33 = 35

Check: If there are 35 50-cent coins, there are 35 + 14 = 49 20-cent coins.

Value: 35 * $0.5 + 49 * $0.2 = $17.50 + $9.80 = $27.30

35 50-cent coins plus 49 20-cent coins do add up to a value of $27.30, so answer of 35 50-cent coins is correct.

You might be interested in
Eiko is wearing a magic ring that increases the power of her healing spell by 30\%30%30, percent. Without the ring, her healing
Veronika [31]

Answer:

(13/10)H

got it on khan academy brainliest pls thx uwu

Remember that 30% in fraction form is 33/100

The amount of health points (H) restored would depend on the amount of the current H so it means it would add 30% of the current which we can write as:

(30/100)H

And since it would add that to the current total we can right the current total as:

(100/100)H

So our equation would be

=(30/100)H + (100/100)H

=(130/100)H

=(13/10)H

5 0
2 years ago
Read 2 more answers
When given a graph, the vertical line test can be used to determine functionality. Describe the vertical line test and explain t
just olya [345]

Answer:

When given a graph, the vertical line test can be used to determine functionality. The vertical line test would represent a function if no more than one point of the graph of a relation, this shows that only one output value for each input value. If this doesn't apply or more than one point is on the line then it would not represent a function.

Step-by-step explanation:

Draw vertical lines to intersect on a graph.

The relation is a function if there’s only one point of intersection on a graph.

The relation is not a function if there’s more than one point of intersection on a graph.

The vertical line test is used to determine if each input has exactly one output.

5 0
2 years ago
Read 2 more answers
Square ABCD and isosceles triangle EFG have the same perimeter. Work out the length of FG.
s344n2d4d5 [400]

Answer:

8

Step-by-step explanation:

3 0
2 years ago
You find your dependent variable has a high degree of kurtosis. What is the first way to try to fix it?
Morgarella [4.7K]

The first way to try to fix this is to apply logarithm to the observations on the dependent variable. This is going to make the dependent variable with high degree of kurtosis normal.

Note that sometimes, the resulting values of the variable will be negative. Do not worry about this, as it is not a problem. It does not affect the regression coefficients, it only affects the regression intercept, which after transformation, will be of no interest.

7 0
2 years ago
Draw the graphs of the functions y=1.2x+.9 and y=−1.3x+4.4. Using the graph, locate the points of intersection of the two graphs
jasenka [17]
To draw a graph of any linear function you need two points only.  We usually use x and y intercepts because these are easiest to work with. 
To find x-intercept we set y to be 0. This is also called zero of a function. Let us find x-intercepts for those two functions:
y=1.2x+0.9
y=-1.3x+4.4
Now we simply set y=0 and solve for x:
0=1.2x+0.9
0=-1.3x+4.4

1.2x=-0.9
1.3x=4.4

x=-0.75
x=3.4
Now we need to find y-intercepts. To do this we simply set x to be zero.
y=1.2x+0.9
y=-1.3x+4.4

y=0.9
y=4.4
Graphs of our functions are not defined by these two points.
y=1.2x+0.9; (0,-0.75),(0.9,0)
y=-1.3x+4.4; (0,3.4),(4.4,0)
To draw a graph you simply draw a line through these two points.
To find intersection we can use a fact that at the point of intersection both functions have the same value. We can write that down mathematically this way:
-1.3x+4.4=1.2x+0.9
Now we need to solve for x. This will give us an x coordinate of the intersection point.
2.5x=3.5
x=1.4
Now we simply plug in these value of x in any function to obtain y coordinate of the interception point.
y=1.2x+0.9
y=1.2(1.4)+0.9
y=2.6
Our intersection point the following coordinates (1.4,2.6).
I have attached the graph with all the points that we calculated highlighted.

7 0
2 years ago
Other questions:
  • Given the trinomial 5x^2-2x-3, predict the type of solutions.
    9·2 answers
  • Solve the equation using square roots. 6x2 = 54
    8·2 answers
  • Match each problem (term) with its sum or difference (definition). (12 points) 1. 8.34 − 1.374 2. 8.34 + 13.74 3. 83.4 + 1.374 4
    8·1 answer
  • What is the slope-intercept form of the following equation? 10x + 4y = 16 options: a.) y =−5/2x + 16 b.) y = −5/2x + 4 c.) 4y =−
    14·2 answers
  • If 10a+10b=35, what is the average (arithmetic mean) of a and b?
    12·1 answer
  • Which expression represents the volume, in cubic units, of the composite figure?
    13·2 answers
  • un cono mide 3 pulgadas de diámetro. a este cono le caben 12 pulgadas cúbicas de agua. redondeada a la pulgada más cercana. ¿ cu
    7·1 answer
  • Find the value of y for which the value of 1.7y+37 is 14 less than the value of 9.3y–25 HELP QUICK
    9·1 answer
  • If x = 45, y = 63, and the measure of AC = 4 units, what is the difference in length between segments AB and AD? Round your answ
    13·1 answer
  • A researcher has conducted a survey using a simple random sample of 50 licensed drivers to create a confidence interval to estim
    15·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!