A table showing Number, Value, and Total Value. The first row shows Nickels, with the entries, n, 0.05, and 0.05 n. The second row shows Quarters, with the entries 36 minus n, 0.25, and 0.25 left-parenthesis 36 minus n right-parenthesis. The last row has Total, with the entries 36, blank, 6.
Alexandra has 36 coins valued at $6.00. She has only nickels and quarters. Which equation can be used to solve for the number of nickels, n?

0.05n + 0.25(36 – n) = 6
0.05n + 0.25(36 – n) = 36
n + 0.05 = 0.05n
n + (36 – n) = 36

Answers

Answer 1

Answer:

a- 0.05n + 0.25(36 – n) = 6

Step-by-step explanation:

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Answer 2

The value of each coin (Nickels and Quarters) determines their number in a money sum

The correct option that gives the equation that can be used to solve for the number of nickels, n, is option;

0.05·n + 0.25·(36 - n) = 6

Reason:

The given equation can be presented as follows;

[tex]\begin{array}{|c|c|c|c|}&\mathbf{Number}&\mathbf{Value}&\mathbf{Total \ value}\\&&&\\Nickels&n&0.05&0.05 \cdot n\\Quarters&36 - n&0.25 & 0.25 \cdot(36 - n)\\&&&\\\mathbf{Total}&36&&6\end{array}\right][/tex]

From the above table, we have;

0.05·n + 0.25·(36 - n) = 6

Solving the above equation gives;

0.05·n + 9 - 0.25·n = 6

-0.2·n = 6 - 9 = -3

[tex]n = \dfrac{3}{0.2} = 15[/tex]

Therefore;

The equation that can be used to solve for the number of nickels, n, is; 0.05·n + 0.25·(36 - n) = 6

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Related Questions

What is a solution?

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Answer:

A solution is a the thing you get when you do a math question

Step-by-step explanation:

Answer:

In math, it is the answer to a problem or question

In chemistry, a solution is a homogeneous mixture of two or more substances.

whats the answer 1 2 3

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Answer:

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610

You would round it to 600

Explanation:

Since 602 doesn't pass the five, it goes down to 600

Write an integer for the situation: 1,464 feet above sea level

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Answer:

             The answer is 1,464.

The answer will be -1,464, when 1464 is "below sea level".

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Find the distance between the points given.
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Answer:

15

Step-by-step explanation:

Using the distance formula will help you with this!

a train covers 165 miles in 1.5 hours find the constant variation.

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Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

165/1.5= 110

NEED HELP NOW Tell whether the sequence is arithmetic. If it is, identify the common difference.


2.9, 4.1, 5.3, 6.5, …

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Here you go! hope this is what you were looking for!

The winning baseball team scores 4 times as many runs as its opponent. The winning team scores 8 runs. Write an equation with an unknown to find the number of runs it opponent scores. Then solve the equation show your work. Someone please tell me

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Answer:

4x+8=x

Step-by-step explanation:

A square has a side length of x + 3. A regular octagon has a side length of 3x. If the polygons have the same perimeter, determine the value of x.

Answers

Answer:

x = ⅗ = 0.6

Step-by-step explanation:

A square has four equal sides.

If a square has a side length of [tex] x + 3 [/tex], therefore,

Perimeter of the square = [tex] 4(x + 3) [/tex]

[tex] = 4x + 12 [/tex].

Also, a regular octagon has 8 equal sides.

If it has a side length of 3x, therefore:

Perimeter of the octagon = [tex] 8(3x) [/tex]

= [tex] 24x [/tex]

Given that the Perimeter of the rectangle and the octagon are the same, to find the value of x, set each perimeter equal to the other.

Thus:

[tex] 24x = 4x + 12 [/tex]

Subtract 4x from each side

[tex] 24x - 4x = 12 [/tex]

[tex] 20x = 12 [/tex]

Divide both sides by 20

x = 12/20 = ⅗ = 0.6.

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h(x) = -(x - 5)(x – 13)
1) What are the zeros of the function?
Write the smaller x first, and the larger x second.
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2) What is the vertex of the parabola?

Answers

Let h(x) = 0.

Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign in front of the parentheses.

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5.

The larger zero is 13.

Both numbers make the quadratic function become zero.

Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)*x - 13)

After using FOIL, we get -x^2 + 18x - 65.

The square x term has a -1 in front. This number is the value of a in the formula below. The coefficient of x is 18. This is our b value.

x = -b/2a

x = -(18)/2(-1)

x = 18/2

x = 9

This number 9 just found is the x-coordinate of the vertex.

To find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify.

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

The vertex is located at the point (9, 16).

The smaller zero is 5 and larger zero is 13. The vertex is located at the point (9, 16).

How to find the vertex of the parabola?

Let h(x) = 0.

A. Now Set each factor to 0 and solve for x.

-(x - 5) = 0

Disregard the negative sign;

x - 5 = 0

x = 5 is a zero.

x - 13 = 0

x = 13 is another zero.

The smaller zero is 5 and larger zero is 13.

B. Both numbers make the quadratic function become zero.

So, Use the FOIL METHOD to express h(x) in standard form.

h(x) = -(x - 5)(x - 13)

we get -x^2 + 18x - 65.

x = -b/2a

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x = 18/2

x = 9

Hence, This number 9 just found is the x-coordinate of the vertex.

In order to find the y-coordinate of the vertex, replace every x you see in the quadratic equation above with 9 and simplify;

h(9) = -(9)^2 + 18(9) - 65

h(9) = 16

Hence, The vertex is located at the point (9, 16).

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On the tenth day of a read-a-thon, Sarah has read 200 pages and Vivian has read 120. On each subsequent day, Sarah reads 10 pages and Vivian reads 30. Eventually, there is a day when Sarah and Vivian have read the same number of pages. What is this number of pages?

Answers

The answer is atleast 200 pages

How many solutions does the following equation have?
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Answers

Answer:

There will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

Step-by-step explanation:

We need to determine how many solutions the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex] have.

Solving the equation and finding the solutions

[tex]9x - 4 = - 3x + 5 + 12x[/tex]

Combining like terms, Moving 3x and 12x to left side of equality and changing their signs and moving 4 on right side of equation and changing sign.

[tex]9x +3x-12x = 5 + 4[/tex]

Simplifying

[tex]12x-12x = 9\\0=9[/tex]

Solving the equation we get 0=9 which is false. So, there will be No solution for the equation [tex]9x - 4 = - 3x + 5 + 12x[/tex]. Option B is correct.

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Answers

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[tex] \frac{3x}{x - 2} = 7 \\ [/tex]

Multiply sides by ( x - 2 )

[tex](x - 2) \times \frac{3x}{x - 2} = (x - 2) \times 7 \\ [/tex]

Simplification

[tex]3x = 7x - 14[/tex]

Subtract sides 7x

[tex] - 7x + 3x = - 7x + 7x - 14[/tex]

Simplification

[tex] - 4x = - 14[/tex]

Negatives simpliflies

[tex]4x = 14[/tex]

Divide sides by 4

[tex] \frac{4x}{4} = \frac{14}{4} \\ [/tex]

[tex]x = \frac{7}{2} \\ [/tex]

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Answer:

x = [tex]\frac{7}{2}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3x}{x-2}[/tex] = 7 ( multiply both sides by x - 2 )

3x = 7(x - 2) ← distribute

3x = 7x - 14 ( subtract 3x from both sides )

0 = 4x - 14 ( add 14 to both sides )

14 = 4x ( divide both sides by 4 )

[tex]\frac{14}{4}[/tex] = x , that is

x = [tex]\frac{7}{2}[/tex]

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Answers

Answer:

The slope is -2. The y intercept is 4.

Step-by-step explanation:

You are saving for a skateboard. Your aunt gives you $45 to start and you save $3 each week. The expression 45 + 3w gives the amount of money you save after w weeks. How much money will you have after 20 weeks? Is this enough money to buy the skateboard?

Answers

Answer:

$105.  I don't know about how much the skateboard is but on an average skateboard yes it is enough.

Step-by-step explanation:

If you get $3 a week and you have lived 20 more weeks. You would multiply 3 by 20 and get $60. Then you would add $60 to $45 and get $105. The average skateboard costs $70. So yes, a skateboard could be bought for $105. Hope this helps! Have a great day!

$105.

45 + 3w gives the amount of money you save after w weeks. We need to find amount of money we have after 20 weeks.

How to solve an equation ?

In equation we have to arrange all variables on one side and constants on other side

To save for a skateboard, If you get $3 a week from your aunt and you have lived 20 more weeks.

We need to multiply 3 with 20 to get the amount for 20 weeks.

So 3*20=$60 for 20 weeks...(*)

and from given

The expression 45 + 3w gives the amount of money you save after w weeks.

$45+3W

=$45+$60 (From *)

=$105

Therefore $10 money is enough to buy the skateboard.

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The cost of candy is proportional to the weight of the candy. If 9 ounces of candy costs $1.80, how much will 30 ounces cost?

Answers

Answer:

$2.70

Step-by-step explanation:

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Answers

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Answer:

x>-1

Step-by-step explanation:

move the 5 to the other side by subtracting both sides by 5:

-2x+5-5<7-5

=

-2x<2

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Answer:

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Step-by-step explanation:

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4abxb

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Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

Edge 2020

9
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A
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4x
ro
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E

Answers

Answer:

x = 18°, y = 167°

Step-by-step explanation:

In right triangle sum of two angles is 90°

4x + x = 90°5x = 90°x = 90°/5x = 18°

Angle y is exterior angle and equals non-adjacent interior angles

y = 4x + 95° = 4*18° + 95° = 72° + 95° = 167°

-2.5 times (-3/4) solution

Answers

Answer:1.875

Step-by-step explanation:

The solution to the expression "-2.5 times (-3/4)" is 1.875.

A set of numbers, variables, and mathematical operations that may be evaluated to yield a value are referred to as expressions in mathematics. A single number or variable might be used, or it can be more complicated and involve several words and processes.

To find the solution to the expression "-2.5 times (-3/4)", we can follow these steps:

Step 1: Multiply -2.5 by -3/4,

-2.5 x (-3/4) = (2.5/1) x (3/4) = (2.5 x 3) / (1 x 4) = 7.5/4

Step 2: Simplify the fraction,

To simplify the fraction 7.5/4, we divide the numerator (7.5) by the denominator (4).

7.5 ÷ 4 = 1.875

In summary, when we multiply -2.5 by -3/4, we get 7.5/4, which simplifies to 1.875.

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Equation- a(10x+6)=b+40x. What is the value of A and B

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[tex]a(10x + 6) = 40x + b[/tex]

[tex]10ax + 6a = 40x + b[/tex]

Thus :

[tex]10ax = 40x[/tex]

x s simplifies

[tex]10a = 40[/tex]

Divide sides by 10

[tex] \frac{10a}{10} = \frac{40}{10} \\ [/tex]

[tex]a = 4[/tex]

_________________________________

And also must :

[tex]6a = b[/tex]

[tex]b = 6a[/tex]

[tex]b = 6(4)[/tex]

[tex]b = 24[/tex]

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So :

[tex]a = 4[/tex]

[tex]b = 24[/tex]

Done...

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what line is parallel to y=3x-6 and passes through the point 2,-4

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Y+4=3(x-2)
Y+4=3x-6
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Answers

Answer:

x= 2i√2

Step-by-step explanation:

Combine terms 10x^2+83=3

Subtract 83 from both sides 10x^2=-80

Divide 10 from both sides x^2=-8

Take square root of each side x= square root of -8

Since there is no perfect square we do prime factorization of the 8 we get 4 and 2.

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2√2

Remember that the response was negative so we have to add i.

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Answers

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Step-by-step explanation:

23+24+25=72

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Answer: Im sorry if i'm wrong but i think the intercept is 2

Step-by-step explanation:

Find the angle measure.
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Triangle ABC is an isosceles triangle. This means that base angles A and C are the same measure.

Triangle CDE is also isosceles. This means that angles C and D are the same measure.

The hatch marks shown in both triangles clearly indicate this fact of geometry.

So, if angle C is 40 degrees, C and D must be 70 degrees each because the sum of the angles in a triangle is 180 degrees.

Angle C = 70 degrees.

. . .70 degrees= angle C. . . . .

Eight is greater than or equal to the sum of a number and 3.

Answers

Answer:

8 >_ 3 +x

Step-by-step explanation:

X = 5 and any numbers below 5

Answer:

8 ( > or equal to) n + 3

Step-by-step explanation:

I hope this helps :)

Nemos aquarium is filled with 2400 cm of water the base of the aquarium is 20 cm long and 12 cm wide what is the height of the water in Nemo’s aquarium

Answers

The answer to this question is 10 cm

In this question, you asked the height and given the volume of water(2400cm3), aquarium length(20cm), and aquarium width(12cm).

Then you need to divide the volume with the length and width. The equation would be:

Aquarium height= volume / length / width

Aquarium height= 2400 cm3 / 20cm / 12 cm = 10cm.

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