Jonah has collected 91 coins worth $7.20 in his piggy bank. his collection includes only dimes and nickels. how many dimes are there in jonah's piggy bank?

Answers

Answer 1
There are 53 dimes in Jonahs piggy bank. You must use algebra to solve for a variable X as follows: x.10+(91-X).05=7.2 Solving through will yield X =53 which means 91 - 53 = 38. 53*.10 + 38*.05 = $7.20. Other methods will also work, but this is the most straight forward.

Related Questions

I'm not quite sure about this one. Can someone help? -Concept: Logs-

Answers

Hi there!


The correct answer is option 1


Here is how it looks like on mine. Check the picture
Hello!

I believe the answer is the 1st one..

Here's what I got. (pic below)

Have a good weekend! ☺♥

How do you write 180% as a fraction or mixed number in simplest form?

Answers

180% would be written as 1 4/5 in simplest form
Final answer:

To write 180% as a fraction or mixed number in simplest form, convert the percent to a fraction with a denominator of 100 and simplify the fraction. The simplified fraction is 9/5 or the mixed number is 1 and 4/5.

Explanation:

To convert a percent to a fraction or mixed number in simplest form, we need to write the percent as a fraction with a denominator of 100 and then simplify it. In this case, 180% can be written as 180/100. To simplify, we divide both the numerator and denominator by their greatest common divisor, which is 20. So, the simplified fraction is 9/5. This fraction can also be expressed as a mixed number by dividing the numerator by the denominator. Since 9 is greater than 5, the mixed number is 1 and 4/5.

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Calculate the length of the marked side

Answers

line AB the one marked c cm is:

8.2 * sin(49)=

6.1889

round answer to 6.2 cm

The formular f = 9c/5 + 32 converts temperature in degrees Celsius into temperature in degrees Fahrenheit use the formula to find the value of f when c = -5 also help with the other questions please

Answers

F= 9(-5)/ 5 + 32
=-45/5+32
=-9+32
=23

Solve the equation. 4p + 25 = 6(p – 3) – 3(4 – 3p)

Answers

4p+25=6p-18-12+9p Distribute
4p+25=15p-30 Combine like terms
25=11p-30 Subtract 30 from both sides
11p=55 Divide
p=5

Find angle B if triangle ABC below is isosceles.

a. 77 degrees
b. 36 degrees
c. 50 degrees
d. 44 degrees

Answers

2x-20 = x+8

x-20 =8

x = 28

28+8 =36

 angle B = 36 degrees

answer is b

According to the rules of significant figures:

1 • 225 = 200

A. True
B. False

Answers

False! According to the rules of significant figure.

At a bicycle store, there were a bunch of bicycles and tricycles. if there were 32 seats and 69 wheels, how many bicycles and how many tricycles were there?

Answers

you have to find a divisible number by the subtracted amount of seats left

60wheels/29 seats doesn't equal a whole number

your most likely confused what im talking about so lets break it down a tricycle has three wheels one seat so three tricycles have 9 wheels 3 seats 69 - 9 = 60
32 - 3 = 29  60/29

but 48/24 = 2 so the do some critical thinking

24 bicycles 69 wheels 24 bicycles have 48 wheels 69 - 48 = 21
21/3 = 7

so now we know we have 24 bicycles and 7 tricycles

By setting up a system of equations and solving for the number of bicycles (B) and tricycles (T) based on the total seats and wheels, we can determine there are 27 bicycles and 5 tricycles.

To determine the number of bicycles and tricycles in the bicycle store given that there are 32 seats and 69 wheels, we can set up a system of equations. Let's let B represent the number of bicycles and T represent the number of tricycles. Since bicycles have 2 wheels and tricycles have 3 wheels, we can express the total number of wheels as:

2B + 3T = 69

Each bicycle and tricycle has one seat, so we can also express the total number of seats as:

B + T = 32

To solve this system, we can multiply the second equation by 2 and subtract it from the first equation to eliminate B:

(2B + 3T) - (2(B + T)) = 69 - 64

2B + 3T - 2B - 2T = 69 - 64

T = 5

Now we substitute T into the second equation:

B + 5 = 32

B = 32 - 5

B = 27

So, there are 27 bicycles and 5 tricycles in the bicycle store.

Beth did a walk for charity and earned $24 for every 2 1/2 miles she walked. what is the unit rate?

Answers

The unit rate would be how much she earns per hour.
Divide 24 by 2 1/2

24 / 2.5 = 9.60
The unit rate is $9.60 per hour

A company rents riding equipment for a fixed amount plus a fee based on the number of days for which the equipment is rented. The table below shows the total charges, y, in dollars, of renting riding equipment for x number of days:

Riding Equipment Rentals
Number of Days
(x) Total Charges (dollars)
(y)
0 6
1 16
2 26


What is the fixed amount charged?
$6
$10
$16
$26
(is it a or b?)

Answers

The answer is 6. I know that because I solved the question and I got 6 I'm positive its 6. Hope this helps.

Answer:

A - 6$

You pay six dollars up front, on day zero.

The graph shows the altitude of a helicopter over time.
A graph measuring altitude and time. A line runs through coordinates (0, 10,000) and (15, 4000) and shows a decrease in altitude as time increases What is the slope of the line and what does it mean in this situation?

a. The slope is –2000 . This means that the helicopter descends 2000 ft each minute.

b. The slope is –400 . This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute.

c. The slope is 2000. This means that the helicopter ascends 2000 ft each minute.

Answers

b. The slope is  - 400. This means that the helicopter descends 400 ft each minute. The slope is 400. This means that the helicopter ascends 400 ft each minute.

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and equation of a line in slope-intercept form is y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

This situation is mathematically represented as a line and slope.

Points  (0, 10,000) and (15, 4000).

We know slope(m) = (y₂ - y₁)/(x₂ - x₁).

Slope(m) = (4000 - 10000)/(15 - 0).

Slope(m) = - 6000/15.

Slope(m) = - 400.

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what is the quotient of 5/6 divided by 3/4

Answers

The correct answer is 10/9 or 1.1. Hope this helps.

1 1/9 is the answer

I know this because I just had to do the same problem and that was the answer


The line which passes through the point (-1,2) and whose slope is undefined. Write it in slope intercept form

Answers

The only lines that have a slope that is undefined are vertical ones.

We can write this equation, which passes through (-1, 2) and has a slope of undefined.

x = -1 + 0
Or when simplified,
x = -1

Simplify 7x + 7 + 6x - 9.

13x - 2
13x + 2
11x

Answers

To do this you must combine like terms as follows.

7x + 6x = 13x
7 - 9 = -2 

Combine these together and you will get the following.

13 - 2 or -2 +13

Answer:

x = -2/13

Step-by-step explanation:

This is a first degree polynomial. To solve it, you need to follow these steps:

Step 1: Equate the polynomial to zero

7x + 7 + 6x - 9 = 0

Step 2: Separate all numbers that have variable "x" on one side of equality and real numbers on the other side

7x + 6x + 7-9

Note: Remember that if you are going to pass a number from side to side the equality is reversed.

Step 3: Add Both Sides

13x = -2

Step 4: Isolate the "x" Variable

x = -2/13

What is the equation of a line that is parallel to −x+3y=6 and passes through the point (3, 5) ?

Answers

3y=6+x
y=(6+x)/3
y=2+x/3
y=mx+b
y=x/3+b
so m(slope) is 1/3
use the point (3, 5), sub this for x and y
5=3/3+b
5-1=b
b=4
therefore, y=x/3+4
or y=(1/3)x+4 (you can write it like this as well)

What is the probability of getting either a sum of 5 or at least one 4 in the roll of a pair of​ dice?

Answers

the answer should be 2/12

Ok this is really worth 90 pts, so can any body please help me on this.

Question 4 (Worth 90 points)
Given the function g(x) = 6(4)x, Section A is from x = 0 to x = 1 and Section B is from x = 2 to x = 3.

Part A: Find the average rate of change of each section. (4 points)

Part B: How many times greater is the average rate of change of Section B than Section A? Explain why one rate of change is greater than the other. (6 points)

Answers

Part A:

f(x) = 5^x
f(x) = 5^0 = 0
f(x) = 5^1 = 5
Use this formula to solve: f(b) - f(a)/b - a
5 - 0 / 1 - 0 = 5/1 = 5
____________________

f(x) = 5^2 = 25
f(x) = 5^3 = 125
125 - 25 / 3 - 2 = 100/1 = 100

Average rate of change: 
Section A: 5
Section B: 100

Part B: 

Section B is 20 times greater then A
Why?
Because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.

Part 1 (or a if you prefer):

f(x) = 5^x

f(x) = 5^0 = 0

f(x) = 5^1 = 5

Use this formula to solve: f(b) - f(a)/b - a

5 - 0 / 1 - 0 = 5/1 = 5

--

f(x) = 5^2 = 25

f(x) = 5^3 = 125

125 - 25 / 3 - 2 = 100/1 = 100

Average rate of change: 

Section A: 5

Section B: 100

Part 2 (or b if you prefer): 

Section B is 20 times greater then A

This is because Section B is increasing in the equation. Thus, Section B is of greater value than Section A.

Hope this assists you and future students.

What three different equations that have x = 5 as a solution

Answers

5x=25 could be one.
25/x-3=2 is another.
And the last one could be x/85+7=24
x+10 = 15

10x + 10 = 65

7x + 8(x²) = 235

hope this helps

assume y varies directly as x. if y=8 when x=42; find y when x=126

Answers

varies directly basically means a multiple of

y = kx

where "k" is the constant of variation. You must solve for this first using the given information.

8 = 42k
8/42 = k
0.19= k

Equation: y = 0.19x
when x = 126
y = 0.19(126)
y = 24


65% of what number is 143

Answers

x * .65 = 143
Divide both sides by .65.
x = 220

143 is 65% of 220.
the answer is 220
equation: 143=0.65x
divide both sides by 0.65 to isolate x

If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the ________________ is 40 percent.If

Answers

If 4 grams of water vapor are present in a cubic meter of air that can hold a maximum of 10 grams, the relative humdity is 40 percen.Relative humidity is the ratio of the partial pressure of water vapor to the equilibrium vapor pressure of water at a given temperature

A total of 210 people attended the opening night of a school musical. Student tickets cost $3.00 each while general admission tickets cost $7.50 each. If total sales were $1296, how many general admission tickets were sold?

Answers

To determine the number of general admission tickets sold, two equations were formed using the total number of attendees and total sales. By applying the elimination method to solve the system of equations, it was found that 148 general admission tickets were sold.

To solve this problem, we can set up two equations based on the number of people and the total sales. Let x represent the number of student tickets sold at $3.00 each, and let y represent the number of general admission tickets sold at $7.50 each. We are given that a total of 210 people attended, so:

1) x + y = 210

We are also given that the total sales were $1296, so:

2) 3x + 7.5y = 1296

We can solve this system of equations using the substitution or elimination method. For this example, I will use the elimination method. To eliminate one variable, we can multiply the first equation by 3, which gives us:

3x + 3y = 630

Now, by subtracting this new equation from the second equation, we eliminate x:

7.5y - 3y = 1296 - 630

4.5y = 666

Dividing both sides by 4.5, we find that:

y = 148

So, 148 general admission tickets were sold on the opening night of the school musical.

The table below represents the displacement of a bird from its nest as a function of time:

Time
(hours)
x Displacement
from nest
(miles)
y
0 12
1 20
2 28
3 36
4 44


Part A: What is the y-intercept of the function, and what does this tell you about the bird? (4 points)

Part B: Calculate the average rate of change of the function represented by the table between x = 1 to x = 3 hours, and tell what the average rate represents. (4 points)

Part C: What would be the domain of the function if the bird continued to fly at this rate until it traveled 172 miles from the nest? (2 points)

Please Help Fast!!!!

Answers

The y-intercept (point where x, or time equals zero), is 12 miles. This means that when observation of the bird began at time t=0, it was already away from its nest. Based on the rest the graph, one can infer that the bird has a very large range (travels far from her nest) and spends a great deal of time away from her nest. 

To find the average rate of change of the function, take the change in y between x=1 and x=3 and divide by 2. 
(36 - 20) / 2 = 16/2 = 8 miles / hour .

The domain of the function is the range of x for which y is a real number. We see in the chart provided that the bird travels 8 miles every hour. 

How many hours will it take to travel 172 miles from the nest? The bird started at 12, so let's so how long it takes to travel 172 - 12 = 160 miles, moving at a rate of 8 miles/hour.
160 miles / 8mph = 20 hours
The domain of the function, the time range in which the bird travels 172 miles from the nest, will be 0 ≤ x ≤ 20

If we express $-2x^2 + 4x + 5$ in the form $a(x - h)^2 + k$, then what is $k$?

Answers

Bjbkbkbgjgjkgkhgkhghkgkugkugkugkhvghdts

help??

Look at the following numbers:

–6, 0, 6, 12

Which pair of numbers has a sum of 0?

6, 12
0, 6
–6, 0
6, –6

Answers

6 and -6 equal 0 on a number line 

the last one because 6+-6 =0.

Can you form a right triangle with the three lengths given? Why or why not? 4mi, 5mi, 6mi

Answers

A right triangle must satisfy this equation: a^2 + b^2 = c^2 

a= shortest length
b=medium length
c=the longest length

a triangle with sides 4,5,6 will satisfy not this equation because:
4^2 + 5^2 ≠ 6^2 
16+25 = 41

41 ≠ 36

so the answer is C.

Hope this helps.

-Jabba

yes it's possible. sum of square of 4 and 5 is equal to the square of 6.

Help please usatestprep

Answers

The answer is c) I just worked it out

Answer:

the answer is C

Step-by-step explanation:

Ervin sells vintage cars. Every three months, he manages to sell 13 cars. Assuming he sells cars at a constant rate, what is the slope of the line that represents this relationship if time in months is along the x-axis and the number of cars sold is along the y-axis?

Answers

Answer:  [tex]4.33\text{ cars per month.}[/tex]

Step-by-step explanation:

Given : Ervin sells vintage cars. Every three months, he manages to sell 13 cars.

[tex]m=\dfrac{\text{change in y}}{\text{change in x}}[/tex]

If time in months is along the x-axis and the number of cars sold is along the y-axis

Change in months : 3

Change number of cars : 13

The slope of the line that represents this relationship will be :-

[tex]m=\dfrac{\text{Change in cars}}{\text{Change in months}}\\\\=\dfrac{13}{3}=4.33333\approx4.33\text{ cars per month.}[/tex]

Hence, the slope of the line = [tex]4.33\text{ cars per month.}[/tex]

Answer:

View the picture for your answer!

have a nice day :))

How does solving absolute value inequalities relate to solving compound inequalities?

Answers

An absolute value inequality is solved by re-writing it as compound inequality. For example.

|x+1| < 5

Since the value inside the absolute value brackets: (x+1) can be positive or negative, it is re-written as a compound inequality as the example below.

x+1 < 5

x+1 > - 5

solve for the range of values x can be

-6 < x < 4


Solving absolute value inequalities yields compound inequalities. Absolute value cases create intervals, linking the processes in algebraic solutions.

Solving absolute value inequalities and compound inequalities are related concepts in algebra, both involving multiple solutions and a range of possible values. Absolute value inequalities often result in compound inequalities due to the nature of the absolute value function.

When solving an absolute value inequality, such as [tex]\(|x - a| < b\), where \(a\)[/tex]and[tex]\(b\)[/tex] are constants, it generally leads to two separate cases: [tex]\(x - a < b\)[/tex] and [tex]\(x - a > -b\).[/tex] These cases represent the intervals where the expression inside the absolute value is less than [tex]\(b\)[/tex] and greater than its negative counterpart.

This process connects with solving compound inequalities, which involve combining two or more inequalities using logical connectors like "and" or "or." The solutions to the individual inequalities are then used to determine the overall solution to the compound inequality.

For instance, in the absolute value inequality[tex]\(|x - a| < b\)[/tex], the resulting compound inequality might be [tex]\(a - b < x < a + b\)[/tex]. This demonstrates that the solutions lie within the interval \((a - b, a + b)\), illustrating the linkage between solving absolute value inequalities and dealing with compound inequalities. Both concepts require careful consideration of multiple scenarios and the integration of solutions to find the overall solution set.

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Given that h(x) = 3x −19, find the value of x that makes h(x) = 71. (5 points)


30

43

52

194

Answers

3x - 19 = 71
3x - 19 + 19 = 71 + 19
3x + 0 = 90
x = 90/3 = 30
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