You pay $80 for a game system. The monthly rental fee for games
is m dollars. Your cost for the year is $188. Using the equation
12m + 80 = 188, how much is your monthly fee?

Answer:

68 got it right on the test!!!

Step-by-step explanation:

Answer:

x+x+x=1+1+1

Step-by-step explanation:

3x=1x+1x+1x

x is 4, which gives us the expression (4)(-5)(3) using algebraic equation.

An algebraic equation or polynomial equation is an equation of the form P=0 where P is a polynomial with coefficients in some field, often the field of the rational numbers.

Given Data

In each step she goes 5 feet deeper, hence (-5) must be a part of the expression.

She  checked her instruments 3 times, so +3 must be a part of the expression.

Her total depth was 60 feet so

-60= x(-5)(-3)

X= 4

Therefore x is 4, which gives us the expression (4)(-5)(3)

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Answer:

B

Step-by-step explanation:

24 miles / 4 hours  = 6 miles per hour

.

and answer B is showing a graph with slope of 6 miles per hour

Circle O area = pi * r²

= 64π

Circle A area = π × 4²

= 16π

Circle B area = π × 2²

= 4π

shaded area = Circle O area - Circle A area + Circle B area

= 64π - 16 π + 4π

=52π cm²

A: (a) A = [0 1; -1 0]. This matrix has only real entries and when we square it, we get A² = [-1 0; 0 -1], which is equal to -I.

(b) B = [0 1; 0 0]. This matrix is not 0, but when we square it, we get B² = [0 0; 0 0], which is equal to 0.

(c) C = [0 1; -1 0] and D = [1 0; 0 -1]. When we multiply these two matrices, we get CD = [-1 0; 0 1] and DC = [0 -1; 1 0], which are opposite matrices.

(d) E = [1 1; 1 1] and F = [-1 1; 1 -1]. When we multiply these two matrices, we get EF = [0 0; 0 0], which is equal to 0, although no entries of E or F are zero.

Here is explanation -

(a) A = [[0, -1], [1, 0]] is a 2x2 matrix with real entries that satisfies A^2 = -I. To see this, we can simply calculate the square of the matrix A:

A^2 = [[0, -1], [1, 0]] * [[0, -1], [1, 0]]

= [[00 + -11, 0*-1 + -10], [10 + 01, 1-1 + 0*0]]

= [[-1, 0], [0, -1]]

As we can see, A^2 = -I, where I is the 2x2 identity matrix.

(b) B = [[0, 1], [0, 0]] is a 2x2 matrix with real entries that satisfies B^2 = 0, although B ≠ 0. To see this, we can calculate the square of the matrix B:

B^2 = [[0, 1], [0, 0]] * [[0, 1], [0, 0]]

= [[00 + 10, 01 + 10], [00 + 00, 01 + 00]]

= [[0, 0], [0, 0]]

As we can see, B^2 = 0, although B ≠ 0.

(c) C = [[0, 1], [-1, 0]] and D = [[0, -1], [1, 0]] are 2x2 matrices with real entries that satisfy CD = -DC. To see this, we can calculate the product of matrices C and D:

CD = [[0, 1], [-1, 0]] * [[0, -1], [1, 0]]

= [[00 + 10, 0*-1 + 11], [-10 + 01, -1-1 + 0*0]]

= [[0, 1], [1, 1]]

DC = [[0, -1], [1, 0]] * [[0, 1], [-1, 0]]

= [[00 - 11, 01 + -10], [10 - 0-1, 11 + 00]]

= [[-1, 0], [1, 1]]

As we can see, CD ≠ -DC, so C and D do not satisfy the condition CD = -DC, not allowing the case CD = 0.

(d) E = [[1, 1], [0, 1]] and F = [[1, 0], [1, 1]] are 2x2 matrices with real entries that satisfy EF = 0, although no entries of E or F are zero. To see this, we can calculate the product of matrices E and F:

EF = [[1, 1], [0, 1]] * [[1, 0], [1, 1]]

= [[11 + 10, 11 + 11], [01 + 10, 01 + 11]]

= [[1, 2], [0, 1]]

As we can see, EF = 0, although no entries of E or F are zero.

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The number of players the team can bring to the tournament would be = 24 players

The softball game is the type of game that involves two teams which is made up of 9. - 10 players.

The total amount of money raised by a softball team=

$2089.50

The amount of money spent on rented bus = $1087.50

The amount left after rent deductions= 2,089.50 - 1,087.50 = 1,002

The amount budgeted for meals for each player= $41.75

The number of players that would be brought for tournament= 1,002/41.75

= 24 players.

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Answer:

There are $\boxed{3}$ paths from $A$ to $B.$

35/35-14/35=21/35=0.6=60%

The probability that 5 or fewer students have confidence in banks is approximately 0.966 or 96.6%.

To find the probability that 5 or fewer students have confidence in banks using the binomial distribution method, follow these steps:

1. Identify the given parameters:
  - n (number of trials) = 10
  - p (probability of success) = 0.40

2. Define the range for the number of successes (k): 0 to 5.

3. Calculate the probability using the binomial formula:
  P(X = k) = C(n, k) * p^k * (1-p)^(n-k)

  where:
  - P(X = k) is the probability of k successes in n trials
  - C(n, k) is the number of combinations of n items taken k at a time, which can be calculated as C(n, k) = n! / (k! * (n-k)!)

4. Calculate the probabilities for k = 0, 1, 2, 3, 4, and 5, then sum them up:

  P(X ≤ 5) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)

5. Calculate each probability using the binomial formula, and sum them up to find the total probability:

  P(X ≤ 5) = 0.0116 + 0.0881 + 0.2146 + 0.3020 + 0.2468 + 0.1029 = 0.9660

So, the probability that 5 or fewer students have confidence in banks is approximately 0.966 or 96.6%.

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The percent of the field goals did Samuel make will be 77.5%.

A percentage is a value or ratio that may be stated as a fraction of 100. If we need to calculate a percentage of a number, we should divide it's entirety and then multiply it by 100. The percentage therefore refers to a component per hundred. Per 100 is what the word percent means. It is represented by %.

Samuel made 31 out of 40 field goals during football practice. The percent of the field goals did Samuel make will be:

= 31 / 40 × 100

= 77.5%

The percentage is 77.5%.

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Answer:

1/2 cup

Step-by-step explanation:

1 cup is equal to 2 1/2 so that means you use 2 times 1/4 which is 2/4 cups which is equal to 1/2

Answer:

1/2 cup of apple juice

Step-by-step explanation:

Hi,

1/4 cup of apple juice = 1/2 cup of carrot juice

We're trying to find the number of cups of apple juice when the carrot juice is equal to a whole cup. To do this, we have to get 1/2 to a whole number. Simply multiply 1/2 by 2 to get a whole number. Here's what I mean...

1/4 cup of apple juice = 1/2 cup of carrot juice

1/2 x 2 = 1 (whole number)

So, when we have a whole cup of carrot juice we have...

1/4 x 2 (since we multiplied the 1/2 by 2, we have to do the same to the other side).

1/4 x 2 = 1/2

David will use 1/2 cup of apple juice when he makes a cup of carrot juice.

Hope this helps :)

The placement ratio in The Bond Buyer shows the relationship between the number of bonds sold and offered in a week.

The placement ratio, as reported in The Bond Buyer, represents the relationship between the number of bonds sold and the number of bonds offered during a specific week. It serves as an indicator of market activity and investor demand for bonds.

The placement ratio is calculated by dividing the number of bonds sold by the number of bonds offered. A high placement ratio suggests strong investor interest, indicating a higher percentage of bonds being sold compared to those offered.

Conversely, a low placement ratio may imply lower demand, with a smaller portion of the bonds being sold relative to the total number offered. By analyzing the placement ratio over time, market participants can gain insights into the overall health and sentiment of the bond market and make informed decisions regarding bond investments.

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Exact Form:

774/25

Decimal Form:

30.96

Mixed Number Form:

30 24/25

You probably need to put in The Decimal Form

Answer:

51 3/5

Step-by-step explanation:

\(\frac{2}{3} *8\frac{3}{5} * 9\\\)   turn the mixed number into an improper fraction first. So, turn

8 3/5 into 43/5.

Also, turn the 9 into 9/1 to make it easier to multiply with

Now multiply all together:

2/3 * 43/5* 9/1

= 774/15

Simplify:

i divided both numerator and denominator with 3 because that is a common factor

=258/5

Answer= 51 3/5  is the mixed number

Answer:

green 44 blue 22

Step-by-step explanation:

The length of each side of an equilateral triangle is equal to the square root of 3 times the length of its height. So, the length of each side of the sign is about 12.1 feet.

Here's the solution:

Let x be the length of each side of the triangle.

Since the triangle is equilateral, each angle is 60 degrees.

We can use the sine function to find the height of the triangle:

sin(60 degrees) = x/h

The sine of 60 degrees is sqrt(3)/2, so we have:

sqrt(3)/2 = x/h

h = x * sqrt(3)/2

We are given that h = 14 feet, so we can solve for x:

x = h * 2 / sqrt(3)

x = 14 feet * 2 / sqrt(3)

x = 12.1 feet (rounded to the nearest tenth)

Answer:C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

The percentage increase in Spencer's height is 65.8%.

First and foremost, it's important to kite that 1 feet = 12 inches. Therefore, 5 feet 3 inches will be:

= (5 × 12) + 3

= 60 + 3

= 63 inches

In this case, when Spencer was five years old he was 38 inches tall now he is 5 feet 3 inches.

The percentage increase will be:

= Change in height / Previous height × 100

= (63 - 38) / 38 × 100

= 25/38 × 100

= 0.658 × 100

= 65.8%

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Answer:

B) 50%

Step-by-step explanation:

It says or so it includes both as a probability, since drawing one of the four suits is 25% adding them together would increase the probability for two either two suits to 50%

The terms with "x" cancel out, and we're left with:

0 = 12

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

Let's denote the number of slices with both pepperoni and mushrooms as $x$. We are given that there are 6 slices with pepperoni and 10 slices with mushrooms.

Since every slice has at least one topping, the total number of slices is 12. We can break down the slices into the following categories:

Slices with only pepperoni: 6 slices

Slices with only mushrooms: 10 slices

Slices with both pepperoni and mushrooms: $x$ slices

Slices with neither pepperoni nor mushrooms: 12 - (6 + 10 + x) slices

We know that the total number of slices is 12, so we can write an equation:

6 + 10 + x + (12 - (6 + 10 + x)) = 12

Simplifying the equation, we have:

16 + x - (16 + x) = 12

The terms with "x" cancel out, and we're left with:

0 = 12

This equation is not possible to satisfy. Therefore, there must be an error or inconsistency in the given information. Please check the information provided again.

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Answer:

0.875

Step-by-step explanation:

The length of BC in this problem is given as follows:

BC = 3.6.

Two triangles are defined as similar triangles when they share these two features listed as follows:

The similar triangles for this problem are given as follows:

ABC and ADE.

Hence the proportional relationship for the side lengths is given as follows:

3/5 = BC/6.

Applying cross multiplication, the length BC is given as follows:

BC = 6 x 3/5

BC = 3.6.

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Answer:

x= 3/2

Step-by-step explanation:

I apologize if it is wrong!

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1).To solve this problem, we need to use the permutation formula since the order of books on shelves matters.

We can start by finding the total number of ways to arrange n books on m shelves, where n is the number of books and m is the number of shelves.

If we have n books and m shelves, the number of ways to arrange the books on the shelves without any restrictions is m^n. However, since we have the additional restriction that each shelf must contain at least one book, we need to subtract the number of arrangements where one or more shelves are left empty.

The number of ways to arrange the books when one shelf is left empty is m * (m-1)^(n-1), since we can choose the empty shelf in m ways, and then arrange the remaining n-1 books on the (m-1) non-empty shelves in (m-1)^(n-1) ways. However, we need to be careful not to double-count the arrangements where two shelves are left empty, so we add back in the number of arrangements where two shelves are empty, which is m choose 2 * (m-2)^(n-1). We continue this process until we've accounted for all the possible combinations of empty shelves.

Therefore, the total number of arrangements with at least one book on each shelf is:

m^n - m*(m-1)^(n-1) + m choose 2 * (m-2)^(n-1) - m choose 3 * (m-3)^(n-1) + ...

This expression can be simplified using the principle of inclusion-exclusion, but it still depends on the values of n and m.

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Sandra should expect the walk to the park to take about 35 minutes.

We can use the formula:

time = distance / rate

where "distance" is the distance Sandra will walk and "rate" is her walking rate in miles per minute.

First, we need to find her rate. We know that she walks 1.6 miles in 18 minutes:

rate = distance / time

rate = 1.6 miles / 18 minutes

rate = 0.0889 miles/minute

Now we can use this rate to find out how long it will take her to walk 3.1 miles:

time = distance / rate

time = 3.1 miles / 0.0889 miles/minute

time = 34.9159 minutes

Rounding this to the nearest minute, we get:

time ≈ 35 minutes

Therefore, Sandra should expect the walk to the park to take about 35 minutes.

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Answer:

What are we looking to solve for?

How much each shirt she bought for the fundraiser costs, each.

What variable can be used to represent the unknown?

The variable "t".

What is the equation to solve the variable?

You can use the following equation as a framework for solving:

t * 22 = 231 solve for t.

Now lets solve:

I am going to use inverse operations: Divide instead of multiply.

231/22 = 10.05

Each shirt is worth $10.50.

Step-by-step explanation:

Hope it helps! =D

Answer:

We want to know how much each t-shirt costs.

t = 10.50

Step-by-step explanation:

We want to know how much each t-shirt costs.

Let the cost of each t-shirt  = t

22 * t = 231

Divide each side by 22

22t/2 = 231/22

t = 10.50

The cost of each t-shirt is 10.50