Rick has 3 bills and 4 coins in his wallet.the coins and bills total $12.35.Rick has no half-dollars.what coins and bills does Tick have?

Explanation:

There are 8 sides total since there are 2 sides per "arm" of this 4-sided star shape. So we have an octagon.

This octagon is not regular because some of the internal angles are over 180 degrees. This is due to this polygon being concave. In a concave polygon, some vertices are closer to the center compared to other vertices. For a regular polygon to be possible, all vertices must be the same distance away from the center.

In the diagram below, I have marked the vertices in red and blue. The red vertices are closer to the green center point, compared to the blue vertices.

Answer:

She spend $280 a month when she goes out to eat 8 times a month.

She will save $105 a month if she cuts back to 5 times a month.

Step-by-step explanation:

35 x 8= 280

35 x 5  = 175

280 - 175 = 105

Answer:

8 * $35 per meal = $280

$280 - (5 * $35)

= $280 - ($175)

= $105

Step-by-step explanation:

The measurement of the given angle is a 90 degree.

According to the statement

We have to find that the measurement of this angle.

So, For this purpose, we know that the

An angle is formed when two straight lines or rays meet at a common endpoint. The common point of contact is called the vertex of an angle.

From the given information:

In the given figure, the measurement of the angle we have to find.

A 90-degree angle is a right angle and it is exactly half of a straight angle. It always corresponds to a quarter turn.

And from the figure it is clearly visible that the line of the angle exactly matches with the 90 degree.

Then the angle is 90 degree.

So, The measurement of the given angle is a 90 degree.

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Step-by-step explanation:

Fig rolls = 1.08

Half price = 1.08 ÷ 2 = 0.54

Total price = 1.08 + 0.54 = 1.62

Answer:

£8.52

Step-by-step explanation:

Fig rolls: £1.08+£1.08=£2.16

Crisps: £1.59+£1.59=£3.18 £3.18x2=£6.36

Total price= £2.16+£6.36=£8.52

The product of 5 × 5ab × 5, a, b is 125ab5 when written in its most Simple form

The expression 5 × 5ab × 5, a, b is equal to 125ab5. The reasoning is that when we multiply 5 by 5ab, we get 25ab, which we then multiply by 5 to get 125ab. Since a, b are variables, the product 125ab5 is the product of 5 × 5ab × 5, a, b, when written in its most simple form.

The expression 5 × 5ab × 5, a, b is an algebraic expression, which consists of numbers, variables, and operators. Variables are usually represented by letters or other symbols, while operators such as +, -, ×, ÷, ^ are used to indicate mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. In algebra, expressions can be simplified by combining like terms, expanding brackets, and applying other rules of arithmetic.

The most simple form of an expression is the one that cannot be further simplified.In the given expression, 5 × 5ab × 5, a, b, we can see that the number 5 appears three times, so we can simplify the expression by multiplying the numbers together.

Similarly, we can multiply the variables a and b together to get the term ab. Finally, we write the result as 125ab5, which is the product of 5 × 5ab × 5, a, b, in its most simple form.

Therefore, the product of 5 × 5ab × 5, a, b is 125ab5 when written in its most simple form.

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Answer:

5.421 > 5.4

Step-by-step explanation:

Answer: 9

Step-by-step explanation:

Based on the information given in the question, the expected number of people who pass will be calculated as:

= Probability of passing the driving test × Number of people tested

= 65% × 15

= 0.65 × 15

= 9.75

Therefore, expected number of people who pass is 9.

Step-by-step explanation:

The lateral surface area of a pyramid is the area of each side of a right rectangular prism. The lateral area of a right pyramid can be calculated by multiplying half of the perimeter of the base by the slant height. The lateral surface area can also be found using this equation (see attachment.)

Part 3

If an angle measures 34 degrees, then it is acute

we know that

To form the converse of the conditional statement, interchange the hypothesis and the conclusion.

so

In this problem

If an angle is acute, then measures 34 degrees

a counter example would be

an angle that measure 50 degrees

50 degrees is an acute angle,

that means------> all acute angles don't measure 34 degrees

Part 4

If you chose a prime number, then you chose the number 13

a counter example would be

the number 7

the number 7 is a prime number

that means -----> a prime number can be different of the number 13

Answer:

23%

Step-by-step explanation:

Divide:

250/1050

Answer:

Not enough information to answer

What's the question?

The next term of the sequence is 14.

A sequence in mathematics is a ordered set of objects or numbers which are related with something.

For example, 1, 3, 5, ..... is a sequence of odd numbers.

Given that,

The term-to-term rule for a sequence is " Add 1 and then double"

First term = 2

Second term = 6

6 is got by adding 1 to 2 and then doubling it.

2 + 1 = 3

3 × 2 = 6

In the same way,

Third term = (6 + 1)2 = 7 × 2 = 14

Hence the next term of the sequence is 14.

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The value of A(2,2) is not 4, but rather 65536, which is obtained by using the recursive definition of the function.

The given inductive definition of Ackermann's function is used to calculate the values of the function for given input values of m and n. The definition uses recursive steps to define the function for different values of m and n. To find the value of A(2,2), we start with the base cases, which are given by the first two lines of the definition. Here, since m=2 and n=2, we use the third line of the definition, which gives the value 2n=2x2=4. Now, we use the fourth line of the definition to compute A(2,1) by using the value of A(2,2) that we just found. This gives us A(2,1)=\(2^4\)=16. Finally, we use the fourth line of the definition once again to compute A(2,0) by using the value of A(2,1) that we just found. This gives us A(2,0)=\(2^{16}\)=65536. Therefore, the value of A(2,2) is not 4, but rather 65536, which is obtained by using the recursive definition of the function.

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Answer:

about 0.38 %

Step-by-step explanation:

Total = 1,400 Employees

Those who drive a bus = 530

530 / 1,400 = 0.378571428571429

round up = about 0.38 %

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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The confidence intervals for population mean is between (613.56 , 626.44).

A statistic known as the standard deviation, which is derived as the square root of variance, gauges a dataset's dispersion from its mean. By figuring out how far off from the mean each data point is, the standard deviation may be determined as the square root of variance.

A bigger deviation exists within a data collection if the data points are further from the mean; hence, the higher the standard deviation, the more dispersed the data.

Sample mean = й = 620

Pop std. Deviation =σ = 25

Sample Size = n = 100

Confidence level (C) = 99.0%

So significance level (α) = 1- C = 1.00%

So, α/2 = 0.005

Population is normal so condition for normality is satisfied we will use Z distribution.

Z(α/2) = 2.576

Formula to construct the confidence intervals for population mean (μ)

μ =  й +- Z(α/2)(\(\frac{ σ}{\sqrt{n} }\))

Putting the Values in this Equation, we get

μ= 613.5604 , 626.4396

Hence the confidence intervals for population mean is between (613.56 , 626.44).

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The number of proper subsets of Z = 255.

Subsets are a subset of the mathematical idea known as Sets. A set is a group of items or components that are enclosed in curly braces, such as "a,b,c,d." Set B is said to be a subset of A if set A is a collection of even numbers and set B contains the numbers 2, 4, and 6. B is designated as BA and A is the superset of B.

The number of proper subsets can be calculated by the formula 2 raise ti the power n where n represents the number of elements in the set

Here, n = 8

thus \(2^{n} = 2^{8}\)

which is equal to 256

However since one of the subsets of Z is itself it is not a proper subset

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Answer:

10.75

Step-by-step explanation:

Answer:

10.75 gallons

Step-by-step explanation:

The greatest common factor of the expression 5x²a + 5xa² is 5xa

To find the greatest common factor (GCF) of the expression 5x²a + 5xa², we need to find the greatest term that can divide into both terms in the expression.

In this case, the GCF is 5xa, as it can divide into both 5x²a and 5xa².

We can check this by dividing both terms with 5xa:

5x²a + 5xa² = (5xa)(x) + (5xa)(a) = 5xa (x + a)

Thus, the GCF of 5x²a + 5xa² is 5xa.

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Answer:

585

Step-by-step explanation:

Explanation in picture below.

Answer:

-6r+6

Step-by-step explanation:

Let us expand the expression:

8-(6r+2)=

8-6r-2=

6-6r

OR

-6r+6

I hope this helps! :)

Answer:

6r+6

Step-by-step explanation:

we dont know the variable's number value yet so you can't solve anything with the 6r. We use distribbutive property and solve 8-2 since the 8 is just subtracting everything in the parenthesis. 8-2=6 and you can't do anything with the 6r so the expression would end up as 6r+6.

Answer:

8) x + 20

9) 20x

10) 20/x

11) x-20

Step-by-step explanation:

8) x + 20

9) 20x

10) 20/x

11) x-20

Answer:

\(Probability = \frac{1}{5}\) or \(Probability = 0.2\)

Step-by-step explanation:

Given

\(Black = 25\)

\(White = 35\)

\(Red = 40\)

Required

Determine the probability of selecting Black and Red

First, we need to calculate the number of red and black balls

The probability is calculated as thus:

\(Probability = P(Black\ and \ Red) \ or\ P(Red\ and \ Black)\)

Convert to mathematical expressions

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)

Solve for each probaility;

\(P(Black) = \frac{Black}{Total} = \frac{25}{100}\)

\(P(Red) = \frac{Red}{Total} = \frac{40}{100}\)

So, we have:

\(Probability = [P(Black) *P(Red)] + [P(Red) *P(Black)]\)\(Probability = [\frac{25}{100} *\frac{40}{100}] + [\frac{40}{100} *\frac{25}{100}]\)

\(Probability = [\frac{1000}{10000}] + [\frac{1000}{10000}]\)

\(Probability = [\frac{1}{10}] + [\frac{1}{10}]\)

\(Probability = \frac{1+1}{10}\)

\(Probability = \frac{2}{10}\)

\(Probability = \frac{1}{5}\)

or

\(Probability = 0.2\)

10) a. 130

Step-by-step explanation:

\(180 - 50 = 130\)

Answer:

1. Given.

2. Definition of congruent segments.

3. Segment Addition Postulate.

4. Substitution Property of Equality.

5. Transitive Property of Equality.

6. Subtraction Property of Equality.

7. Definition of congruent segments.

Step-by-step explanation:

Statement 1

\(\overline{AB} \cong \overline{CD}; \; \overline{CE} \cong \overline{AE}\)

Reason:  Given.

Statement 2

\(AB=CD; \;CE=AE\)

Reason:  Definition of congruent segments.

Congruent segments are segments that have the same length.

Statement 3

\(AE+EB=AB; \; CE+ED=CD\)

Reason:  Segment Addition Postulate.

A line segment divided into smaller pieces is the sum of the lengths of all those smaller segments.

Statement 4

\(CE+EB=CD\)

Reason:  Substitution Property of Equality.

For all numbers a and b, if a=b, then a may be replaced by b in any equation or expression.

Statement 5

\(CE+ED=CE+EB\)

Reason:  Transitive Property of Equality.

For all numbers a, b and c, if a=b and b=c, then a=c.

Statement 6

\(ED=EB\)

Reason:  Subtraction Property of Equality.

For all numbers a, b and c, if a=b, then a-c=b-c.

Statement 7

\(\overline{ED} \cong \overline{EB}\)

Reason:  Definition of congruent segments.

Congruent segments are segments that have the same length.

Answer:

10

Step-by-step explanation:

After hour, pay increases by 10.

Answer:

120 i think

Step-by-step explanation:

$11.88 rounded to the nearest tenth is 10 and there are 12 months in one year and 10 times 12 is 120

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

A cylinder is three-dimensional. It's not a flat thing. There are parallel circular bases in this shape. These bases have a curved face affixed to them. A cylinder in this instance has three faces. Along both end of a curved face, which rounds back to the face's origin, are two spherical bases.

Given that-

Volume of cylinder = πr²h

Volume of cylinder = 3.14 *5²*18

Volume of cylinder = 3.14*25*18

Volume of cylinder = 1413 ft³

Thus, the volume of cylinder with the given height and diameter is found as 1413 ft³.

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