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. Select the THREE values (d,n) that could be solutions to the equation. ( 0 , 445 ) ( 0.50 , 435 ) ( 233 , 21 ) ( 118 , 209 ) ( 172 , 101 )

Answers

Answer 1

Answer:

Correct options are:

a) ( 0 , 445 )

d) ( 118 , 209 )

e) ( 172 , 101 )

Step-by-step explanation:

A nickel is worth 5 cents $0.05

A dime is worth 10 cents = $0.10

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. Select the THREE values (d,n) that could be solutions to the equation.

a) ( 0 , 445 )

b) ( 0.50 , 435 )

c) ( 233 , 21 )

d)( 118 , 209 )

e)( 172 , 101 )

Verifying the options

a) ( 0 , 445 )

0.10d+0.05n=22.25.

= 0.10(0) + 0.05(445) = 22.25

= 22.25 = 22.25

Options a) is correct

b) ( 0.50 , 435 )

0.10d+0.05n=22.25.

= 0.10(0.50) + 0.05(435) = 22.25

= 21.8 ≠ 22.25

Option b is incorrect

c) ( 233 , 21 )

0.10d+0.05n=22.25.

= 0.10(233) + 0.05(21) = 22.25

= 24.35 ≠22.25

Option c is incorrect

d) ( 118 , 209 )

0.10d+0.05n=22.25.

= 0.10(118) + 0.05(209) = 22.25

= 22.25 = 22.25

Option d) is correct

e) ( 172 , 101 )

0.10d+0.05n=22.25.

= 0.10(172) + 0.05(101) = 22.25

= 22.25 = 22.25

Option e) is correct


Related Questions

two thirds x one fourth .

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Answer:

One sixth (1/6)

Step-by-step explanation:

Stacy and Neil painted 280 square feet of their living room wall with 4/5 gallon of paint. How many square feet can they paint with 3 gallons of paint?

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Answer:

280 square feet can be painted with .8 gallons and (280 / .8) or 350 square feet can be painted with 1 gallon and with 3 gallons you could paint 1,050 square feet.

 

Step-by-step explanation:

how do you find the circumference of a circle if the diameter is 4

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Answer: if your looking for an answer it’s c= 12.57

Step-by-step explanation:

Someone please help me

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Answer:

  x = -3/2

Step-by-step explanation:

The removable discontinuity is at the value of x where a denominator factor cancels a numerator factor, and those factors are zero.

  [tex]p(x)=\dfrac{2x+3}{4x^2-9}=\dfrac{2x+3}{(2x+3)(2x-3)}=\dfrac{2x+3}{2x+3}\cdot\dfrac{1}{2x-3}\\\\p(x)=\dfrac{1}{2x-3}\qquad x\ne-3/2[/tex]

That cancellation occurs where 2x+3 = 0, at x=-3/2.

The function p(x) has a removable discontinuity when x = -3/2.

Aubrey and Charlie are driving to a city that is 120 mi from their house. They have already traveled 20 mi, and they are driving at a constant rate of 50 mi/h. Complete the function that models the distance they drive as a function of time. Then complete a reasonable domain for this situation.

function notation in slope-intercept form: f(x) = ________
reasonable domain: ≤ x ≤

Answers

Answer:  The function that models the distance they drive is

f(x) = 50x + 20 where x is the time in hours

reasonable domain:  0 ≤ x ≤ 3

Step-by-step explanation:

examples:

95 = 50(1.5) + 20 After driving another hour and a half, they will have driven a total of 95 miles.

120 = 50(2) + 20  This means that after 2 more hours they will reach their destination.

There is a little ambiguity in the question. The function could be written as if they are starting out.  f(x) = 50t  

20 = 50(.4)  At 50 mph it took .4 hours to go 20 miles.

120 = 5(2.4)  The whole trip took 2.4 hours.

In minnesota,the state sales tax rate is 6.875%
The price tag on an HDTV gives the price as $560. There are no discounts available.
What is the total cost for the TV, including sales tax, in Minnesota?

Answers

Answer:

598.50

Step-by-step explanation:

Multiply the percent by the price then add that number to the price.

I added 38.50 in taxes to the price of the TV

The total cost of the TV will be $598.50 including the sales tax of 6.875%.

What is an expression?

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that in Minnesota, the state sales tax rate is 6.875%. The price tag on an HDTV gives the price as $560,

The total cost will be calculated as,

Cost = 560 x 1.06875

Cost = 598.5

Hence, the total cost will be $598.50.

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What is 65% of 1150?
O 17.7
O 74.8
O 747.5
0 1769.2

Answers

Answer:

747.5

Step-by-step explanation:

First you need to know how much is 65% in a decimal, which is 0.65, then multiply 0.65x1150= 747.5
Your answer is C :)

Which angle number is supplementary to angle Answer:

Answers

Answer:

Angle 8

Step-by-step explanation:

Supplementary angles are angles that are equal to 180 degrees.

is 22π a whole number

Answers

Answer:

No it is irrational number.

Step-by-step explanation:

because 2pie cannot be expressed as a quotient of interger.

Which is a perfect square?
O 20
0 21
O 24
O 25

Answers

Answer:

25

Step-by-step explanation:

25

(5)² = 25 OR √25 = 5

the answer is 25
5(5)=25

Solve the inequality. Graph the solution.

3d−7d+2.8<5.8−27

Answers

Answer:

Step-by-step explanation:

Z>6

The solution to the given inequality would be d > 6, which is shown in the graph with the red line.

Given that,

The inequality to solve,

3d - 7d + 2.8 < 5.8 - 27

Used the concpet of expression for solving by using combining like terms and applying the operations addition, subtraction, etc.

Here, the inequality is,

3d - 7d + 2.8 < 5.8 - 27

Combine like terms,

- 4d + 2.8 < 5.8 - 27

Subtract 2.8 on both sides,

- 4d < 5.8 - 2.8 - 27

- 4d < 3 - 27

- 4d < - 24

Multiply both sides by - 1,

4d > 24

It can be written as,

4d - 24 > 0

4 (d - 6) > 0

d - 6 > 0

Therefore, the solution to an inequality is,

d > 6

And, the graph of solution d > 6 is shown in the attached image.

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If I subtract the square root of 10 and -4, my answer will be

Answers

root(10)+4

......

you cant simplify it

Could someone please help with this question?

Answers

You can draw the same box but instead of having six squares across, do five squares across until you have 25 squares total

BROO PLZZ TRY TO ANSWER FAST

Answers

Answer:

1/9(x+4)

Step-by-step explanation:

Same as the first one

1/9(x+4)


hope this helps

Question 10 multiple choice

Answers

Answer: Choice B

(x-1)(x^3+x^2+5x+6)

==========================================

Explanation:

The 1 in the upper left box means that x = 1 is a root of the original polynomial.

So this means x-1 is a factor of the original polynomial.

This is because x = 1 leads to x-1 = 0 after subtracting 1 from both sides.

-----------------

The 0 in the last position of the bottom row shows we got a remainder of 0.

Getting a remainder 0 tells us that (x-1) is a factor of the polynomial. This synthetic division table confirms our initial guess.

The other values in that bottom row (1, 1, 5, 6) form coefficients to the polynomial 1x^3+1x^2+5x+6, or simply x^3+x^2+5x+6

-------------------

So we know that (x-1) and (x^3+x^2+5x+6) are factors

Meaning that,

x^4+4x^2+x-6 = (x-1)(x^3+x^2+5x+6)

You can confirm this by expanding out the right hand side (distribution rule).

One circle labeled right 28 overlaps another circle labeled female 7. The overlap is labeled 24. A 4-column table with 3 rows. The first column has no label with entries female, male, total. The second column is labeled right with entries 24, c, 52. The third column is labeled right with entries a, 6, d. The fourth column is labeled total with entries b, 34, d. A group of 65 baseball players were surveyed about which hand they favor for batting. The data from the survey are shown in the Venn diagram. Determine the value for each variable in the two-way table. a = b = c = d = e =

Answers

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

this is the right answer.

Answer:

a=7

b=31

c=28

d=13

e=65

Step-by-step explanation:

a product is the answer to x expression or equation a factor number being multiplied is * 1000 to get a product of 9254​

Answers

Answer:

9.254

Step-by-step explanation:

Move the decimal three times (how many zeros of 1000 there is)

What are the x and y intercepts for 3x-6y=-48

Answers

Answer:

x- intercept = - 16, y- intercept = 8

Step-by-step explanation:

Given

3x - 6y = - 48

To find the x- intercept, let y = 0 in the equation and solve for x

3x - 6(0) = - 48 , that is

3x - 0 = - 48 ( divide both sides by 3 )

x = - 16 ← x- intercept or (- 16, 0 )

To find the y- intercept, let x = 0 in the equation and solve for y

3(0) - 6y = - 48 , that is

0 - 6y = - 48 ( divide both sides by - 6 )

y = 8 ← y- intercept or (0, 8 )

The submarine dove 150ft. from periscop height to an elevation of 200 ft. below sea level


which point is a representation of periscope height.

A) point A
B) point B
C) point C
D) point D​

Answers

The answer to this question is C

Answer:

c

Step-by-step explanation:

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees. Claire doesn't have a membership, so she pays 8.25 for each movie she sees. How many movies would they have to see in a year in order to pay the same amount?

Answers

Answer:

12 movies

Step-by-step explanation:

Let the number of movies they see be represented by x

Jaycie has a VIP membership to a movie theater, so she pays 27 dollars a year and 6.00 for each movie she sees.

$27 + $6 × x

= 27 + 6x

Claire doesn't have a membership, so she pays 8.25 for each movie she sees.

= $8.25 × x

= 8.25x

How many movies would they have to see in a year in order to pay the same amount?

Jaycie = Claire

27 + 6x = 8.25x

27 = 8.25x - 6x

27 = 2.25x

x = 27/2.25

x = 12 movies

Therefore, they have to see 12 movies in a year in order to pay the same amount.

Help find the value of x
-2(4-x)=12x-3

Answers

Answer:

Step-by-step explanation:

distributive property

-8 + 2x = 12x - 3

add 3 to both sides

-5 + 2x = 12x

subtract 2x from both sides

-5 = 10x

divide by 10 for both sides

-5/10 = x

-0.5 = x

actually it's -1/2 or -0.5

When baking soda and vinegar react, the surface bubbles. What does this most likely indicate?

a chemical change, because a precipitate is being formed
a chemical change, because a gas is being formed
a non-chemical change, because a precipitate is being formed
a non-chemical change, because a gas is being formed

Answers

Answer:

the answer is B

Lea wrote a number riddle her clues were : 9 is 10 times the value of 9 329,513
2 is 2/10 The value of 2 in 7,562
6 is 6/10 the value In 4.68 which is the answer ?
A) 19,426
B)95,862
C) 341,959.26
D) 498,173.26

Answers

Answer:

D) 498,173.26

Step-by-step explanation:

1) 9 is 10 times the value of 9 in 329,513

9 is 1000'th place10*1000*9 = 90000The number contains 90000

2) 2 is 1/10 the value of 2 in 7,562

2 is one's place1/10*1*2 = 0.2The number contains 0.2

3) 6 is 1/10 the value of 6 In 4.68

6 is one tenths place1/10*0.1*6 = 0.06The number contains 0.06

Sum of the three above:

90000 + 0.2 + 0.06 = 90000.26

The answer option containing the above number is:

D) 498,173.26

Negative numbers are _______________ less than positive numbers.

Always
Sometimes
Never

Answers

Answer:

sometimes

Step-by-step explanation:

Answer:

always

Step-by-step explanation:

Help Geometry im very stupid

Answers

Its an obtuse triangle because one of the angle n is 98 degrees

Answer:

Obtuse Triangle

Step-by-step explanation:

First we have to find the measure of all the angles. We know that the sum of all angles in a triangles is 180 degrees.

So we add 35 and 47 which is 82 degrees.

Then we subtract 82 from 180 which is 98 degrees. Now we know that angle N is 82 degrees.

We can go ahead eliminate answer choices acute equiangular triangle (that only applies if all angles are 60 degrees) and right triangle (must have a right angle which is 90 degrees).

That now leaves us with acute and obtuse triangle. An acute triangle has angles that are less that 90 degrees. So that only leaves us with the answer choice obtuse triangle, because it has an angle of 98 degrees which is an obtuse angle.

So your answer is Obtuse Triangle.

slope=8, y-intercept=-4

Answers

Answer:

Y= 8X + 4

Step-by-step explanation:

7w-6 = 3(w + 6)
Please help me with this answer.

Answers

Answer:

w = 6

Step-by-step explanation:

Distribute the 3 first

7w - 6 = 3w + 18

Combine like terms

4w = 24

Divide by 4 to isolate w

so w = 6

Answer:

Step-by-step explanation:

Apply the distributive property to the right side of the equation. 3(w+6). Then, begin to simplify the equation. W=6

can you guy help me with

Answers

Answer:

no

Step-by-step explanation:

find the equation of the line which passes through the point (7,2) and is perpendicular to y=5x-2

Answers

Answer:

[tex]\displaystyle y=-\frac{1}{5}x+\frac{17}{5}[/tex]

Step-by-step explanation:

Equation of a line

A line can be represented by an equation of the form

[tex]y=mx+b[/tex]

Where x is the independent variable, m is the slope of the line, b is the y-intercept and y is the dependent variable.

We need to find the equation of the line passing through the point (7,2) and is perpendicular to the line y=5x-2.

Two lines with slopes m1 and m2 are perpendicular if:

[tex]m_1.m_2=-1[/tex]

The given line has a slope m1=5, thus the slope of our required line is:

[tex]\displaystyle m_2=-\frac{1}{m_1}=-\frac{1}{5}[/tex]

The equation of the line now can be expressed as:

[tex]\displaystyle y=-\frac{1}{5}x+b[/tex]

We need to find the value of b, which can be done by using the point (7,2):

[tex]\displaystyle 2=-\frac{1}{5}*7+b[/tex]

Operating:

[tex]\displaystyle 2=-\frac{7}{5}+b[/tex]

Multiplying by 5:

[tex]10=-7+5b[/tex]

Operating:

[tex]10+7=5b[/tex]

Solving for b:

[tex]\displaystyle b=\frac{17}{5}[/tex]

The equation of the line is:

[tex]\boxed{\displaystyle y=-\frac{1}{5}x+\frac{17}{5}}[/tex]

What is the value of F in this equation

F^2=9/49

Answers

Answer:

[tex] \sqrt{f {}^{2} } = \sqrt{ \frac{9}{49} } [/tex]

[tex]f = \frac{ \sqrt{9} }{ \sqrt{49} } [/tex]

[tex]f = \frac{3}{7} [/tex] or -3/7

Answer:

[tex]f=-\frac{3}{7},\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]f^2=\frac{9}{49}[/tex]

Square root both sides of the equation:

[tex]\sqrt{f^2} =\sqrt{\frac{9}{49} }[/tex]

The square root of [tex]f^2[/tex] is [tex]f[/tex], so let's rewrite the equation:

[tex]f=\sqrt{\frac{9}{49} }[/tex]

Now, we can make this easier on ourselves by noticing that both the numerator and denominator of the fraction are square numbers, so rewrite the equation:

[tex]f=\frac{\sqrt{9} }{\sqrt{49}}[/tex]

Find the square root of 9 (-3 & 3), and the square root of 49 (-7 & 7). Due to the possibility of the positive or negative solution, there will be two:

[tex]f=-\frac{3}{7} ,\frac{3}{7}[/tex]

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