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i have 25 coins. some of them are dimes, and some of them are
quarters. in total, i have $5.20. how many dimes and how many
quarters do i have?

Answers

Answer 1

Answer:

18 quarters7 dimes

Step-by-step explanation:

The given relations can be used to write two equations describing the coins. One equation can express the total number of coins; the other, their total value.

__

setup

Let d and q represent the numbers of dimes and quarters, respectively. The the total number of coins is ...

  d + q = 25

and their total value is ...

  0.10d +0.25q = 5.20

solution

Using the first equation to write an expression for d, we can substitute that into the second equation.

  d = 25 -q

  0.10(25 -q) +0.25q = 5.20

  0.15q = 2.70 . . . . . . . . . collect terms, subtract 2.50

  q = 18 . . . . . . . . . . . divide by 0.15

  d = 25 -q = 7

You have 18 quarters and 7 dimes.

_____

Additional comment

It is generally convenient to solve for the number of the higher-value coin. That way, the numbers in the equations stay positive, tending to reduce errors.


Related Questions

In your research study measuring the relationship between time spent playing video games and course grades, you find that grades increase at about the same rate as time spent playing video games decreases. What do you conclude

Answers

Research study measuring relationship suggests that video games may have a detrimental effect on an individual's grades.

This study analyzes the correlation between video game usage and academic performance. Scholastic Aptitude Test (SAT) and grade-point average (GPA) scores were used to gauge academic performance. The amount of time a student spends playing video games has a negative correlation with students' GPA and SAT scores. As video game usage increases, GPA and SAT scores decrease.

A chi-squared analysis found a p value for video game usage and GPA was greater than a 95% confidence level (0.005 < p < 0.01). This finding suggests that dependence exists. SAT score and video game usage also returned a p value that was significant (0.01 < p < 0.05). Chi-squared results were not significant when comparing time spent studying and an individual's SAT score. This research suggests that video games may have a detrimental effect on an individual's GPA and possibly on SAT scores. Although these results show statistical dependence, proving cause and effect remains difficult, since SAT scores represent a single test on a given day. The effects of video games maybe be cumulative; however, drawing a conclusion is difficult because SAT scores represent a measure of general knowledge. GPA versus video games is more reliable because both involve a continuous measurement of engaged activity and performance. The connection remains difficult because of the complex nature of student life and academic performance. Also, video game usage may simply be a function of specific personality types and characteristics.

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HELP DUE TODAY WORTH 87 POINTS

Answers

1. Moving at constant, you are at equilibrium and the restorative force of the scale balances your weight. So the scale exerts a force of 490 N and reads 50.0 kg.

2. The elevator is now moving up and slowing down, so its acceleration is pointing opposite the direction of motion, and Newton's second law says the net force is

F - 490 N = (50.0 kg) (-4.9 m/s²)

where F is the magnitude of the force due to the scale. Solve for F to get

F = 490 N - (50.0 kg) (4.9 m/s²) = 245 N

and the scale would read (245 N)/g = 25 kg. This should make sense; your inertia will cause your body to "want" to continue moving up at the same speed while the elevator slows down, and this relieves some of the upward force needed to keep your body moving with the elevator.

3. With the elevator in free fall, Newton's second law gives

F - 490 N = (50.0 kg) (-9.8 m/s²)   ⇒   F = 0 N

and the scale would read 0 kg. Now you're falling with the elevator; the scale doesn't have to counteract your weight anymore.

is 8.6 a rational number

Answers

Answer:

Yes

Step-by-step explanation:

Yes, 8.6 is a rational number because it can be expressed in the form of p/q

[tex]8.6 = \frac{86}{10} = \frac{43}{5} [/tex]

A four line classified ad costs 25 for a week. Each additional line costs 2. What is the weekly cost for a 12 line ad

Answers

Answer: 41

Step-by-step explanation:

If each line costs 2, then for the four-line ad, the cost is the initial price plus 4(2), meaning the initial cost is 25-8=17.

Thus, the cost of a 12-line ad is 17+2(12)=41

Describe the varying vegetation regions in Canada

Answers

Answer:

es fácil solo tienes que Aser 23+578 y hay te da el resultado

Solve the following equations. 2x - y = 8 3x + y = 17​

Answers

Answer: (5, 2)

System of equations:

2x - y = 8

3x + y = 17

Solve for x:

2x - y = 8

3x + y = 17

________ +

5x = 25

x = 5

Plug in x to one of the equations to solve for Y

2(5) - y = 8

10 - y = 8

-y = -2

y = 2

Which graph shows h(x) = f(x)g(x)

Answers

The attached graph represents the function h(x), where h(x) = f(x)g(x)

Complete question

Consider the functions f(x) = x - 6 and g(x) = x + 6. Which graph shows h(x) = f(x)g(x)?

How to determine the graph of h(x)?

We have

f(x) = x - 6

g(x) = x + 6

The equation h(x) = f(x)g(x) means

h(x) = f(x) * g(x)

So, we have:

h(x) = (x - 6) * (x + 6)

Expand

h(x) = x² - 36

See attachment for the graph of function h(x)

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Answer:

A on edg. 2020

Step-by-step explanation:

Which graph shows h(x) = f(x)/g(x)

Evaluate the expression (8×6) +(8-3)

Answers

Answer:

(8×6)+8-3

48+8-3

53

Step-by-step explanation:

please mark me as brainlest

Are survival rates independent of gender within similar passenger classes ?

Answers

Answer:

yes

Step-by-step explanation:

Women had a much higher chance of survival — regardless of what class they were in — then men did. Of the 466 women on board, 339 survived. Of the 843 men on board, only 161 survived — a measly 19% compared to the 73% of women who made it safely back to shore.

Evaluate the algebraic expression.
z^2+1+y when y=4, and z=3.

Answers

Answer:

your question is

z²+1+y where, y=4,z=3

3²+1+4

9+5

14

is your answer

Question 3 of 10
What else would need to be congruent to show that AABC= AXYZ by ASA?
B
A
C Z
Y
X
Given:

Answers

I’m pretty sure that is should be y but I’m not too sure about it

Please help! The formula for the volume of a cylinder is:

Answers

Answer:

A

Step-by-step explanation:

isolate r by dividing by πh. take the square root on both sides to get rid of the r^2 to make it just r

Answer:

r =sqrt(V/ ( pi h) )

Step-by-step explanation:

V = pi r^2 h

We want to solve for r

Divide each side by pi h

V/ ( pi h) = pi r^2 h/ ( pi h)

V/ ( pi h) = r^2

Now take the square root of each side

sqrt(V/ ( pi h) )= sqrt( r^2)

sqrt(V/ ( pi h) )=r

Please can someone help asap thank you !x

Answers

Answer:

Step-by-step explanation:

Gradient is the slope, the rise over run, change in y over change in x.

For line A

6/3=2

Gradient=2

For Line B

5/5 =1

Gradient =1

Answer:

•The coordinates of line A (0,1) and (1,3)

gradient formula : y2-y1/x2-x1

gradient :

3-1/1-0=2

Actually you can take any other coordinates for reference!

example :

the other coordinates of line A (0,1) and (2,5)

=5-1/2-0

=2 (same)

•The coordinates of line B (3,2) and (4,1)

Gradient : =1-2/4-3

=-1

or

the coordinat B =(7,-2) and (-2,7)

=7-(-2)/-2-7

=9/-9

=-1

Note:The line to the right has a positive gradient, and the line to the left has a negative gradient

A square with side lengths 12 feet. 4 2 feet by 2 feet squares are cut out of each corner of the square.
Tariq designed the pool shown. The owner of the pool has one square cover to use. Find the area of the space that needs to be covered. (The four corners are squares.)

The area that needs to be covered is

ft2.

Answers

Answer:

132ft^2

Step-by-step explanation:

Explain some acceptable reasons for proofs?

Answers

Geometric proofs are a list of Statements and Reasons used to prove that a given mathematical concept or idea is true. Statements are claims about a geometric problem that cannot be proven true until backed by a mathematical Reason. Reasons are pieces of evidence that support a Statement.

There are two approaches to solving the equation -3x + 10 = 4x - 20

Subtract 4x from both sides. OR Add 3x to both sides.

–7x + 10 = –20 OR 10 = 7x – 20

Solve the equation using both approaches.

Answers

this is the answer using both approaches

What is the nth term rule of the linear
sequence
below?
1, 7, 13, 19, 25, . ..

Answers

Answer:

Un= 1+(n-1)6

Step-by-step explanation:

a = 1

d= 7-1= 13-7= 6

and using the formula, Un= a+(n-1)d

How many real solutions does the system of equations have? y = x2 + x − 2 y = -x + 1

Answers

The number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

What are the solutions of the equations?

The equations are given below.

y = x² + x − 2  ...1

y = – x + 1       ...2

From equations 1 and 2, we have

x² + x − 2 = – x + 1

x² + 2x − 3 = 0

Then the factor of the equation will be

x² + 3x – x − 3 = 0

    (x + 3)(x – 1) = 0

                     x = 1, –3

Then  the value of y will be

At x = 1, we have

y = -1 + 1

y = 0

At x = -3, we have

y = -(-3) + 1

y = 4

Then the number of the solutions of the equations are 2 that are (1, 0) and (-3, 4).

The graph is given below.

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Figure A
Figure B
Figure A is rotated 180°, then reflected across the line.
Figure B is reflected across the line, then rotated 180°.
Which of the following shows the two figures after they are
transformed?

Answers

Answer:

The answer is c

Step-by-step explanation:

look at the picture carefully

Which table represents a linear function?

Answers

Answer:

1st one.

Step-by-step explanation:

Question 3 of 10
Which choice represents the simplified exponential expression?
(12-4)8
OA. 12-32
B. 12-12
O C. 12
OD. 124

Answers

The correct value that equates to this expression is 12‐³². Letter A

.

To solve this expression, just: eliminate the parentheses and multiply the exponents among themselves;[tex] \boxed{ \large \sf (a {}^{n} ) {}^{m} \rightarrow a {}^{n \times m} } \\ \\ [/tex]

Resolution

[tex]{ = \large \sf (12{}^{-4} ) {}^{8} } [/tex]

[tex]{ = \large \sf 12{}^{-4 \times 8} } [/tex]

[tex] \pink{ \boxed{ = \large \sf 12{}^{-32} } } \\ [/tex]

Therefore, the answer will be 12‐³²

Question 7
points 2
ps
sunshine house cleaners mops 1/5 square feet every 2/3 minute. what is their speed in terms of square feet
tio
per minute?

Answers

Their speed in terms of square feet per minute is 3/10 square feet per minute.

We know that the speed formula is the rate at which an object travels a given distance. Speed is defined as the distance traveled by a body in a given amount of time. Speed in the SI is measured in m/s.

Given that the distance = 1/5 square feet.

The time = 2/3 minute.

Speed = distance/time = (1/5)/(2/3) = (1/5)*(3/2) = 3/10

Therefore, we can conclude that their speed in terms of square feet per minute is 3/10 square feet per minute.

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The tables represent the functions f(x) and g(x). f(x) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g(x) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions? x = -3 O x = -1 x = 0 Ox=1 The tables represent the functions f ( x ) and g ( x ) . f ( x ) -5 -2 -1 0 1 2 -3 -1 1 3 w 5 X -3 -2 -1 0 1 2 g ( x ) -13 -9 -5 -1 3 7 Which input value produces the same output value for the two functions ? x = -3 O x = -1 x = 0 Ox = 1​

Answers

Answer:

x=1

Step-by-step explanation:

There are two functions (f & g), each of which have a table of inputs and outputs.  The same list of inputs is given to both functions, but the outputs are different.

Imagine that you asked your Father 6 questions, (weirdly instead of numbered 1 through 6, numbered -3 through 2), and that he gave you a list of answers.

Imagine that you asked your Grandfather the same 6 questions, and you got a list of answers from him.

On which question did they give the same answer?

It was on question number "1", (really the 5th question, but as we've numbered things from -3 to 2, it's question "1").


Since the "questions" were the input, "x", x=1.

The lines shown below are perpendicular. If the green line has a slope of
1/7 what is the slope of the red line?
A.7
B.1/7
C.-7
D. -1/7

Answers

Answer:

c: -7

Step-by-step explanation:

the slope of a perpendicular line is the negative reciprocal of the original line

a way to find this is to flip the numerator and the denominator of a slope and make it negative

1/7 --> 7 --> -7

that would be your slope

3. Find x 75° (4x 25)°​

Answers

If two lines intersect, then their opposite angles are equal. Then the value of  x is 25°.

The missing graph is given below.

What is an angle?

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

Vertically opposite angle - When two lines intersect, then their opposite angles are equal.

Then the value of x will be

 75° = (4x - 25)°​

100° = 4x

   x = 25°

Then the value of  x is 25°.

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This is my final please help

Answers

Thw measurements based on the arrow on the rulers will be:

A= 1.3cm

B = 2.1 cm

C = 3.4cm

D = 4.4cm

E = 5.5cm

F = 7cm

G = 8.2cm

H = 10.3cm

I = 11cm

J = 11.7cm

K = 12.7cm

L = 14.7cm

How to depict the measurement?

It should be noted that 10 millimeters make 1 cm. Therefore, to convert the centimeters to millimeters, you simply have to multiply by 10.

A = 1.3cm × 10 = 13mm

B = 2.1cm = 21mm

C = 3.4 × 10 = 34m

Using same method, the value of the remaining will be:

D = 44mm

E = 55mm

F = 70mm

G = 82mm

H = 103mm

I = 110mm

J = 117mm

K = 127mm

L = 147mm

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helppppppppp markingbrainliest

Answers

a)

x×3+4=22

b)

x×3+4=22

x×3=22-4

x×3=18

x=18÷3

x=6

Hope it helps

Answer:

x=6

Step-by-step explanation:

your equation would be X * 3 + 4 = 22

to solve you subtract four from both sides then divide three by both sides because you do the opposite of the sign thats there and you get x= 6! i hope this helped

In ABC, CT is a median. What is the measure of AB?

Fill in the blank by enter in just a number for your answer.

Answers

Answer:

AB = 102

Step-by-step explanation:

the median CT bisects the side AB at T , then

BT = AT , that is

7x + 9 = 5x + 21 ( subtract 5x from both sides )

2x + 9 = 21 ( subtract 9 from both sides )

2x = 12 ( divide both sides by 2 )

x = 6

then

AB = 5x + 21 + 7x + 9 = 12x + 30 = 12(6) + 30 = 72 + 30 = 102

The measure of AB is 102.

How to estimate the measure of AB?

The median CT bisects the side AB at T, then

BT = AT

7x + 9 = 5x + 21

subtracting 5x from both sides of the equation, we get

2x + 9 = 21

subtract 9 from both sides, and we get

2x = 12

Divide both sides by 2, we get

x = 6

then, AB = 5x + 21 + 7x + 9

AB = 12x + 30

Substituting the value of x,

12x + 30 = 12(6) + 30

= 72 + 30

AB = 102

Therefore, the measure of AB is 102.

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which shows the correct substitution of the values a, b, and c Dr the equation 0=-3x^2-2x+6 into the quadratic formula? Quadratic formula: x= -b±√b^2-4ac/2a

Answers

Answer: Option 1

Step-by-step explanation:

Here, a = -3, b = -2, c = 6.

Peter's father told Peter to buy four-tenths of a pound of chili powder. Each package is marked with its weight. What package should Peter buy?

Answers

Peter should buy 0.4 pound weight package

A percentage is a figure or ratio stated as a fraction of 100 in mathematics. Although the abbreviations "pct," "pct," and occasionally "pc" are also used, the percent sign, " percent ", is frequently used to signify it. A % is a number without dimensions and without a measurement system.

Given Peter's father told Peter to buy four-tenths of a pound of chili powder and Each package is marked with its weight.

We have to find which weight package should Peter buy

The four-tenths of a pound will be 40 % of one pound which is 0.4 pound. So peter should buy 0.4 pound weight package.

Hence Peter should buy 0.4 pound weight package

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