A bag contains 21 coins consisting of nickles and dimes. The total value of the coins is $1.70.
Write a system of equations that models this situation. How many nickels are in the bag?

The position vector from (3, − 8,0) to ( − 9, − 7, − 6) is  (-12, 1, -6).

To find the position vector, we need to add this vector to the initial point (3, -8, 0). This gives us:
(3, -8, 0) + (-12, 1, -6) = (-9, -7, -6)
In mathematics, position vector refers to a vector that describes the position of a point relative to an origin point. In this question, we are asked to find the position vector that is equal to the vector from (3, -8, 0) to (-9, -7, -6).

To find the position vector, we need to add the vector from the initial point to the final point to the initial point itself. This gives us the endpoint of the vector, relative to the origin. The position vector is important in many applications, such as physics, engineering, and computer graphics, where it is used to describe the position of an object or point in space.

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Answer:

total = 0.5(unit$) + unit$

total = unit$(1.5)

Step-by-step explanation:

The expression which is helpful to find the cost of buying two containers of juice on sale is x + 0.5x.

Determine the known quantities and designate the unknown quantity as a variable while trying to set up or construct a linear equation to fit a real-world application.

As per the given, buy one and get one half off.

For x number of units,

Total = x + 0.5x

Hence "The expression which is helpful to find the cost of buying two containers of juice on sale is x + 0.5x".

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(a) The cost of 1 kg of turnips is £71.95, and

(b) The cost of 1 kg of mushrooms is £89.50.

To solve this problem, let's assign variables to the unknowns.

Let the cost of 1 kg of mushrooms be 'm' and the cost of 1 kg of turnips be 't'.

According to the given information:

Equation 1: 2m + 2.5t = 8.55

Equation 2: 3m + 4t = 13.10

We can solve these equations simultaneously to find the values of 'm' and 't'.

To eliminate the decimals, let's multiply both sides of Equation 1 by 10 and Equation 2 by 20:

20m + 25t = 85.50

60m + 80t = 262.00

Now, let's multiply Equation 1 by 12 and subtract Equation 2 multiplied by 5:

240m + 300t - (60m + 80t) = 1026.00 - 1310.00

180m + 220t = -284.00

We have a new equation:

180m + 220t = -284.00 ---(3)

Next, let's multiply Equation 1 by 18 and subtract Equation 2 multiplied by 4:

36m + 45t - (60m + 80t) = 154.35 - 524.00

-24m - 35t = -369.65

We have another new equation:

-24m - 35t = -369.65 ---(4)

Now, we have a system of linear equations with two variables. Let's solve this system by eliminating one variable.

Multiply Equation 3 by 35 and Equation 4 by 220:

6300m + 7700t = -9940.00 ---(5)

-5280m - 7700t = -81323.00 ---(6)

Adding Equations 5 and 6, we eliminate 't':

1020m = -91263.00

m = -91263.00/1020

m = -89.50

Substituting the value of 'm' back into Equation 3:

180(-89.50) + 220t = -284.00

-16110 + 220t = -284.00

220t = -284.00 + 16110

220t = 15826.00

t = 15826.00/220

t = 71.95.

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Answer:0

Step-by-step explanation:anything divided or multiplied by zero is zero for example how many times does 6 go into 0? ....zero!

Answer:

I can't understand what you are asking I hope it will help you please follow me

Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.

Since,

A reverse fault in which the dip of the fault plane is so small as to be almost  horizontal is called thrust fault. In thrust faults, the hanging wall moves almost horizonatlly over the footwall.

Hence,

Normal faults assume a more shallow dip angle with depth; when the fault plane becomes nearly horizontal, these faults are termed as thrust fault.

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Answer:

The probability is 1/3

Step-by-step explanation:

36 is divisible by 3. 12/36 would be the answer but because we are referring to the # of spaces we simplify. 12/36 simplified is 1/3.

Hope this helps! Pls mark brainliest

The probability that a player will land on a "Skip a Turn" space is 1/12 if the game board has 36 spaces for moving around the board. Three of the spaces are marked “Skip a Turn.

It is defined as the ratio of the number of favourable outcomes to the total number of outcomes, in other words, the probability is the number that shows the happening of the event.

Total number of outcomes = 36

Total favourable outcomes = 3

Probability = 3/36

= 1/12

Thus, the probability that a player will land on a "Skip a Turn" space is 1/12 if the game board has 36 spaces for moving around the board. Three of the spaces are marked “Skip a Turn.

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Answer: x=-4, y=4

Step-by-step explanation:

We can use elimination method to solve this problem.

Let's eliminate y.

In equation 2, use the coefficient of y (i.e 5) to multiply equation 1. DO the same for other equation. Thus,

5(10x+7y=-12)

7(9x+5y=-16)

=> 50x+35y=-60

     63x+35y= -112

clearly, y can be eliminated by subtraction.

Therefore,

-13x = 52  [-63+50  and 112-60)]

x = -4.

When x = -4,

9x+5y =-16

9(-4) +5y =-16

5y = 36-16

y=4.

Answer:

~235.8

Step-by-step explanation:

200^2 +125^2= distance traveled^2

55625= distance traveled^2

235.849528301

The given annual salary is $58,356.00. In order to find Tammy's monthly gross and net income, we have to divide the annual salary by 12 since there are 12 months in a year.

Thus:

58,356/12 = 4,863.00

This gives us Tammy's monthly gross income. But, as 15 percent of her total income is paid in taxes each month, we have to calculate her monthly net income. We can find the 15% of 4,863.00 by multiplying it with 0.15. Thus:

4,863.00 * 0.15 = 729.45

This means that $729.45 is paid in taxes each month, and the net income is what is left of the gross income after paying taxes. We can calculate Tammy's monthly net income by subtracting the taxes paid from the monthly gross income. Thus:

4,863.00 - 729.45 = 4,133.55

Therefore, Tammy's monthly gross income is $4,863.00, and her monthly net income is $4,133.55. Main answer: Her monthly gross income is $4,863.00, and her monthly net income is $4,133.55.Explanation:In this activity, the teacher provides students with a square sheet of paper for an in-class activity. The teacher asks the students to fold the paper in half, unfold the paper, and color one of the sections created by the fold, and determine what fraction of the paper they colored.

The students then refold the paper on the same fold and fold it in half once more. Before unfolding the paper, the teacher asks the class how many sections the paper now has, and how many of those sections will be colored.The skill that the teacher is introducing to the students with this activity is: C. Using concrete objects and pictorial models to generate equivalent fractions. Students are required to fold a piece of paper and shade one of the sections. By folding the paper in half again, the number of sections doubles, but the size of each section is halved. Thus, the teacher is encouraging students to use a concrete object (paper) to model equivalent fractions (one-half is equal to two-fourths).

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A small change in x can change the conclusion of our test.

Given :

how would your conclusion change if your sample mean had been 1.355 mg/l.

t - test :

A t-test is a statistical test that compares the means of two samples. It is used in hypothesis testing, with a null hypothesis that the difference in group means is zero and an alternate hypothesis that the difference in group means is different from zero.

if x = 1.355

t = 1.355 - 1.3 / 0.18 / \(\sqrt{30}\)

= 0.055 / 0.18 / \(\sqrt{30}\)

= 0.055 * \(\sqrt{30}\) / 0.18

= 1.67

df = n - 1

= 30 - 1

= 29

P - value from t table :

p = 0.525

fail to reject \(H_0\)

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Full question :

The Environmental Protection Agency has determined that safe drinking water should contain no more than 1.3 mg/liter of copper. You are testing water from a new source, and take 30 water samples. The mean copper content in your samples is 1.36 mg/l and the standard deviation is 0.18 mg/l. There do not appear to be any outliers in your data .

how would your conclusion change if your sample mean had been 1.355 mg/l? what point does this make about statistical significance?

Answer:

1

Step-by-step explanation:

when multiplying to numbers with a power/exponent you add the powers

If we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

This problem can be solved using dynamic programming. Let's define dp[i][j] as the number of combinations of coins using the first i coins to make up an amount j. Then we can use the following recurrence relation:

dp[i][j] = dp[i-1][j] + dp[i][j-coins[i]]

The first term on the right-hand side of the equation corresponds to the case where we don't use the i-th coin, while the second term corresponds to the case where we use the i-th coin at least once. Note that we only need to consider cases where j >= coins[i], because it's impossible to make up an amount less than the value of the i-th coin using that coin.

We can initialize dp[0][0] = 1, because there is exactly one way to make up an amount of zero using no coins. Finally, the answer to the problem is dp[n][amount], where n is the total number of coins.

Here's the Python code:

def change(amount, coins):

   n = len(coins)

   dp = [[0] * (amount+1) for _ in range(n+1)]

   dp[0][0] = 1

   for i in range(1, n+1):

       dp[i][0] = 1

       for j in range(1, amount+1):

           dp[i][j] = dp[i-1][j]

           if j >= coins[i-1]:

               dp[i][j] += dp[i][j-coins[i-1]]

   return dp[n][amount]

For example, if we have coins = [1, 2, 5] and amount = 5, then the function should return 4, because there are four combinations of coins that make up an amount of 5: [1, 1, 1, 1, 1], [1, 1, 1, 2], [1, 2, 2], and [5].

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Answer:

Complex and imaginary number

Step-by-step explanation:

First, let's write the number\(-16.2i\) in the form of \(a+bi\).

\(0+ (-17)i\)

Since \(-16.2i\) can be written in the form of \(a + bi\), where \(a\) and \(b\) are real numbers, it is a complex number.

Also, since \(a=0\), it is also an imaginary number.

\(-16.2i\) is complex and imaginary.

Answer:

The correct answer will be 14

Step-by-step explanation:

I am 100% sure!!! Hope this helps.

PLEASE GIVE BRAINIEST!!!

The requried measure of the length of the garden is given as 14.14 feet.

The surface area of any shape is the area of the shape that is faced or the Surface area is the amount of area covering the exterior of a 3D shape.

Here,
Baby is planning to put a square garden with an area of 200 square feet
Let the side length be x,
according to the question,
Area of the square = 200
x² = 200
x = 14.14 feet

Thus, the requried measure of the length of the garden is given as 14.14 feet.

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Answer:

hallar ''EF , si MN =24cm preguntas para responder: a)30. 2 , b)15. 2 , c)15 . d)

Answer:

So, the step1 is correct.

Step-by-step explanation:

The expression is

\((6 x^3 + 8 x^2 - 7 x)-(2x^2 + 3)(x- 8)\\\\(6 x^3 + 8 x^2 - 7 x) - (2x^3 - 16 x^2 + 3 x - 24)\\\\6 x^3 + 8 x^2 - 7 x - 2 x^3 - 16 x^2 + 3 x - 24\\\\4 x^3 - 8 x^2 - 4 x - 24\)

So, the step 1 is correct.

Answer:

0.625

Step-by-step explanation:

Answer:

0.625

Step-by-step explanation:

hope it helped!

A 1% error in r will lead to a larger error in the volume.

A 1% error in r will cause a larger error in the volume, since the percentage increase in volume is proportional to the square of r.

The volume of a cylinder of radius r and height h is V = πr2h. The linear approximation to the volume of a cylinder is given by V ≈ πr2(h + r).

Thus, the percentage increase in volume when r and h are each increased by c is given by 100% × (Vnew - Vold) / Vold = 100% × (π(r + c)2(h + c + r) - πr2h) / πr2h = 200c/r + 100c/h.

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Answer:

x=32

Step-by-step explanation:

sum of interior angles of a triangle = 180

add up all angles and equate to 180

(4x-13)+(x+18)+15=180

5x=160

x=160/5=32

x+18  =   32+18    = 50

4x-13  =  4x32-13 = 128-13 = 115

add up all to check whether ans = 180;  15+50+115=180

step 1 solve for x step 2 after getting the value of x ,substitute and get the value of angles

Answer:

Step-by-step explanation:

The system of equations is:

x^2 = y

x^2 + y^2 = 9

Substituting the first equation into the second, we get:

x^2 + (x^2)^2 = 9

x^4 + x^2 - 9 = 0

Using the quadratic formula, we can solve for x^2:

x^2 = (-1 ± sqrt(37))/2

Taking the positive root, we get:

x^2 = (-1 + sqrt(37))/2

Substituting this back into the first equation, we get:

y = (-1 + sqrt(37))/2

So the solution is the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2)

Looking at the graphs, only graph (d) contains the point (sqrt((-1 + sqrt(37))/2), (-1 + sqrt(37))/2), so the answer is (d).

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QUESTION: Which graph shows the system (x^2 = y =2 x^2 + y^2 = 9

    |     /|

    |    / |

    |   /  |

    |  /   |

    | /    |

    |/     |

_____|______|______

    |

    |

    |

    |

    |

    |

The gallons of gas that Aubrey would need to travel 111.54 miles is 7.8 gallons.

In Mathematics, a direct proportion simply refers to a mathematical equation which is typically used to represent the equality of two (2) ratios.

By applying direct proportion to the given information, we have the following mathematical equation:

15 gallons of gasoline = 214.5 miles

X gallons of gasoline = 111.54 miles

By cross-multiplying, we have the following:

214.5x = 15 × 111.54

x = 1,673.1/214.5

x = 7.8 gallons of gasoline.

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The statement(s) that must be true about three points, P, Q, and R, graphed on a coordinate plane. such that the points are all collinear in the order P, then Q, and then R are:

Collinear points are those that are situated along a single straight line.

In Euclidean geometry, two or more points are said to be collinear if they are located on a line either close to or far from one another.

Slopes of a line is equal for parallel line and a single straight line

Since the line P, Q and R are in the order P, then Q, and then R. it means that the length of the line PR is PQ + PR

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Answer:

c=-12

Step-by-step explanation:

Let's solve your equation step-by-step.

2/3c−2=2+c

Step 1: Simplify both sides of the equation.

2/3c−2=2+c

2/3c+−2=2+c

2/3c−2=c+2

Step 2: Subtract c from both sides.

2/3c−2−c=c+2−c

−1/3c−2=2

Step 3: Add 2 to both sides.

−1/3c−2+2=2+2

−1/3c=4

Step 4: Multiply both sides by 3/(-1).

(3/−1)*(−1/3c)=(3/−1)*(4)

c=−12

Answer:

c=−12

The correct number of Standard deviation to generate a confidence interval is therefore 1.65.

Given that;

This shows that the percentage in a normal distribution that is at most 1.65 standard deviation above average is about 95%.

Percentage above 1.65 SD equals 100 - 95 = 5.

Now, because of the symmetric distribution,

Percentage above 1.65 SD = % below 1.65 SD is what we can see:

Below 1.65 SD + between 1.65 SD below and 1.65 above + above 1.65 SD + % above 1.65 SD = 100%

=> 5% + between -1.65 SD below and 1.65 above + 5% = 100%

=> % between -1.65 SD and 1.65 SD above mean = (100 - 5 - 5)% = 90%

The correct number of SDs to generate a confidence interval is therefore 1.65.

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Answer:

shade all of the squares with two capital Ns (NN) red. Shade all the squares with one capital N and one Lowercase n with green. Leave the rest (nn) unshaded.

Step-by-step explanation:

Hello there! :)

Answer:

\(\tt 52~inches\)

Step-by-step explanation:

The perimeter is the sum of the lengths of the sides for this figure. Therefore, if we need to add all of the lengths of the sides of it as follows (in inches):

\(\tt Pshape=7+15+7+3+4+9+4+3\)

Therefore, the perimeter of the shape is:

\(\tt Pshape=7+15+7+3+4+9+4+3\)

\(\tt Pshape=52~inches\)

In summary, we have that the perimeter of the shape is 52 inches.

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Answer: One face of a cube has a perimeter of a+a+a+a=4a.

The required perimeter of one of the faces of the cube is 4 units.

Given that,
A cube has a volume of 1 cubic unit. what is the perimeter of one of its faces is to be determined.

Perimeter is the measure of the figure on its circumference.

A cube is defined is a regular 3-dimensional structure whose dimension at every section is identical.

Here,
According to the question,
Area of the square = 1 cubic unit
a² = 1
a = 1
Now,
The perimeter of the square = 4a
                                                = 4 (1) = 4 units

Thus, the required perimeter of one of the faces of the cube is 4 units.

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