Aidan and Tiana were shown the following diagram.
They were asked to solve for the measure of ∠A in degrees.

Aidan says the first step is to set 2x+7 equal to 5x-2
Tiana says the first step is to set 2x+7 plus 5x-2 equal to 180

1. Choose either Aidan's or Tiana's statement and explain why it is correct or incorrect. If the statement is correct, explain how you know it's correct. If the statement is incorrect, explain why it's wrong.
2. If you were to solve this problem, which steps would you take? Include any theorems, definitions, or reasons that explain the steps. Make sure you include all steps needed to solve for m

There are 16 pieces of 1/2 of a whole

Numeric simplification is the process of reducing a number or expression to its simplest form.

If 8 is divided into pieces that are each 1/2 of a whole, there would be 16 pieces.

Mathematically, this can be written as:

8 / (1/2) = 18 × (2/1) = 16

Therefore, the pieces that are each 1/2 of a whole would result in 16 pieces.

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The given expression (25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)] is equivalent to 217.5.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign "=".

Given is the expression as follows -

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

The given expression is -

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

Solving further, we get -

(25)2 x 100 ÷ 23 + [24 ÷ 8]

25(2) x 100 ÷ 23

25(2) x 4.35

50 x 4.35

217.5

Therefore, the given expression equivalent to 217.5.

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{

Complete question expression is -

(25)2 × 100 ÷ 23 + [24 ÷ (13 – 5)]

}

The unit rate of the cost per pound is $1.5
False: Two pounds of Apple do not cost more that $3.50

8 pounds of Apple costs $12

The unit rate is

8= 12

1= x

cross multiply both sides

8x= 12

x= 12/8

x= 1.5

Hence the unit rate of the cost per pound is $1.5

Two pounds is 1.5 + 1.5

= 3

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The sum of the two numbers on the opposite faces of the die is 7. The probability of rolling a sum of 7 when two dice are rolled is 47/288. Since the probability of obtaining an individual face is , m+n must be 11.

Let m and n be the numbers on opposite faces of the die.

Since the sum of the numbers on opposite faces is 7,

m+n = 7.

Since the probability of obtaining face F is greater than 1/6, we can write .

Since the probability of obtaining the face opposite is less than 1/6, we can write .

Since the probability of obtaining any one of the other four faces is 1/6, we can write .

Solving the system of equations for m and n yields

m = 4 and n = 3.

Therefore, m + n = 4 + 3 = 11.

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Answer:

the value of p is £3.67.

Step-by-step explanation:

(a) To determine the value of p, we need to use the information given in the problem to set up and solve a simple equation. The cost of the repair at one house was £71, and it took 3 hours, so the cost per hour was £71 / 3 = £<<71/3=23.67>>23.67 per hour. The engineer charges £20 plus £p per hour, so £23.67 per hour is equal to £20 + £p. Subtracting £20 from both sides gives us £p = £3.67. Therefore, the value of p is £3.67.

(b) The formula for the cost, £C, of a repair that takes x hours can be written as: £C = £20 + (£p * x). This formula states that the cost of the repair is equal to the fixed cost of £20, plus the cost per hour (£p) multiplied by the number of hours (x) that the repair takes.

(c) To determine how long a repair that costs £96.50 takes, we can use the formula from part (b) and solve for x. Substituting in the known values, we get: £96.50 = £20 + (£3.67 * x). Subtracting £20 from both sides gives us: £76.50 = (£3.67 * x). Dividing both sides by £3.67 gives us: x = 20.89 hours.

The inequality which correctly represents the graph as represented in the task content is; y ≤ ( -1/4 ) x + 2.

First, to determine the inequality which represents the graph given, it is important to determine the equation of the border line as follows;

Since the slope formula is; m = (y₂ - y₁) / (x₂ - x₁).

Hence, given points; ( 0, 2 ) and ( 4, 1 ).

Slope, m = ( 1 - 2 ) / ( 4 - 0 )

m = -1 / 4 and y-intercept = 2.

Therefore, it follows from the slope-intercept form equation; y = mx + c that the equation of the boundary line in discuss is;

y = ( -1/4 ) x + 2.

On this note, since the region shaded on the graph is the region below the boundary line and the boundary line is a solid line;

It follows that the required inequality which the graph represents is; y ≤ ( -1/4 ) x + 2.

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The solution for the system of linear equations is (4,12)

Linear equations help in representing the relationship between variables such as x, y, and z, and are expressed in exponents of one degree. In these linear equations, we use algebra, starting from the basics such as the addition and subtraction of algebraic expressions.

Given here: Jessie purchased eight 8 books and 4 DVDs

Kayla purchased five books and six DVDs.

let the price of a book be x and price of a DVD be y.

Then we have as per question as

8x+4y=80

5x+6y=92

Thus solving for the two equations by the method of elimination we get

40x+20y=400

40x+48y=736

-___________

      -28y=-336

           y=12

∴ x=80-4×12 / 8

     =32/8

     =4

Hence, The solution for the system of linear equations is (4,12)

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Answer:

The ratios are equivalent.

Step-by-step explanation:

If you multiply the ratio 20:14 by 4, it will give you 80:56.

or

If you simplify 80:56 by 4, it will give you 20:14

Answer:

Sorry I dont have enough time

I hope it helps u..

Alright Ima go teacher mode for a moment,

1.

1/3+1/5= 8/15 explanation-

The fractions have unlike denominators. First, find the Least Common Denominator and rewrite the fractions with the common denominator Multiply both the numerator and denominator of each fraction by the number that makes its denominator equal the LCD this is basically multiplying each fraction by 1.Complete the multiplication and the equation becomes. The two fractions now have like denominators so you can add the numerators.

This fraction cant be reduced Therefore - 1/3+1/5=8/15

Alright thats the only one I will explain i'll just put the answers for the rest lol

2. 1/8+2/6= 11/24

3. 8/9+11/12= 1 29/36

4. 1/7+5/8=43/56

5. 1/4+2/4=3/4

6. 1/2+3/9=5/6

7.1/10+1/4=7/20

8.3/11+11/12= 1 25/132

9. I cant see number 9 so just tell me the bottom numbers so I can help ya out :>

10. 1/8+3/5=29/40

Hope I helped good luck on your test :> <3 Ciao mate!!!

The price of each advanced tickets sold  is; $35

The price of each same day tickets sold is; $25

Let x be the cost of each advanced tickets sold

Let y be the cost of each same day tickets sold

We are told that for one performance, 25 advance tickets and 20 same-day tickets were sold. Thus;

x + y = 60  ------(1)

The total amount paid for the tickets was $1325 and as such, we have;

20x + 25y = 1325   ------(2)

Make x the subject in eq 1 to get;

x = 60 - y

Put (45 - y) for x in eq 2 to get;

20(60 - y) + 25y = 1325

1200 - 20y + 25y = 1325

5y = 125

y = 125/5

y = $25

Thus;

x = 60 - 25

x = $35

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The integer representing the change in the stock's value is 4.

An integer is a whole number that can be either positive, negative, or zero. It is not a fraction, decimal, or a percentage. Integers are the basic building blocks of mathematics and are used to represent whole numbers in equations. They are also used in computer programming languages to represent whole numbers.

This means that the stock rose by 4 points in value from the previous day. Sanjay can find out the exact value of the stock by looking up its current price online.

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The fraction 1/3 lies between 1/4 and 1/2 so it it the closest among all the other fractions.

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

The fraction 3/4 is greater than 1/2 and less than 1 so it lies in between

1/2 and 1.

The fraction 1/3 is greater than 1/4 and less than 1/2 so it lies between

1/4 and 1/2.

The fraction - 3/6 is - 1/2.

The fraction - 5/8 is greater than - 1/2 and less than - 1 so it lies between

- 1 and - 1/2.

Therefore, The fraction 1/3 is closest to zero.

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Answer:

20/10 --> 2/1

Step-by-step explanation:

So, the original rise is 20 and the original run is 10. You wanted it in the SIMPLEST form, so 20/10 in simple is 2/1.

Hope that's right and helps.

The answer is B because that is what paraphrasing is

There is always a positive quotient between two negative values. It is actual. As an example, (-3)/(-1) = 3 is expression .

In mathematics, it is possible to multiply, divide, add, or remove. The construction of an expression is as follows: Expression, number, and mathematical operator Numbers, variables, and functions are the building blocks of a mathematical expression (such as addition, subtraction, multiplication or division etc.) Expressions and phrases can be contrasted.

given

A. Negative numbers are consistently smaller than positive ones.

It is real.

For instance, - 2 + 2

B. Two negative numbers added together are always negative.

It is real.

For instance, -3 + (-3) = -6.

C. Sometimes there is a positive difference between two negative integers.

It is real.

As an illustration, (-3) - (-4) = 1

D. A negative number is always the product of two negative numbers.

It is untrue.

For illustration, (-3)(-3) = 9.

There is always a positive quotient between two negative values. It is actual. As an example, (-3)/(-1) = 3

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Answer:

9 bags

Step-by-step explanation:

2 1/4 ÷ 1/4

9/4 ÷ 1/4

9/4 x 4/1 = 9

Answer:

id say givin the mean for both of them.

35.7 minets aproximatly

please give brainlest

Step-by-step explanation:

Answer:

0.225

Step-by-step explanation:

hour= 60 min

18miles/h

18miles/60 = 0.3 per minute

minute = 60 sec

0.3/60 = 0.005 per second

0.005s x 45 sec = 0.225

Answer:

I believe the answer is 4,000

Step-by-step explanation:

200x20

Answer:

[tex] \frac{1}{x {}^{2} y {}^{4} }[/tex]

Step-by-step explanation:

[tex] \frac{x {}^{ - 2} }{y {}^{4} } = x {}^{ - 2} \times \frac{1}{y {}^{4} } [/tex]

[tex]x {}^{ - 2} = \frac{1}{x {}^{2} } [/tex]

[tex]therefore \: \frac{x {}^{ - 2} }{y {}^{4} } = \frac{1}{x {}^{2} } \times \frac{1}{y {}^{4} } \\ = \frac{1}{x {}^{2}y {}^{4} }[/tex]

The work done by a force [tex]$\overrightarrow{\mathrm{F}}=(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}) \mathrm{N}$[/tex], to displace a body from position A to position B is 5j

Now basically here we, are talking about the work done by a body in the form of displacement.

This displacement is done due to the force that acted upon the body.

To calculate the work done we use the formula as,

W = F.ds

where F is the force acted on the body and the 'ds' is the displacement vector or the factor,

thus we calculate 'ds' as

AB vector = r2 - r1

AB = (2i + 2j +3k ) - ( i+3j+k)

so we get as,

AB = i -j +2k

now substituting in the formula we get as

W = (i + 2j + 3k ) .(i - j +2k)

W = 1 -2 +6

W = 5 joules

Work done = 5 J

The complete question is,

The work done by a force [tex]$\overrightarrow{\mathrm{F}}=(\hat{\mathrm{i}}+2 \hat{\mathrm{j}}+3 \hat{\mathrm{k}}) \mathrm{N}$[/tex], to displace a body from position A to position B is : [The position vector of A is [tex]$\overrightarrow{r_1}=(\hat{i}+3 \hat{\jmath}+\hat{k}) \mathrm{m}$[/tex] and the position vector of B is [tex]$\left.\overrightarrow{r_2}=(2 \hat{i}+2 \hat{j}+3 \hat{\mathbf{k}}) \mathrm{m}\right]$[/tex]

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Answer:

x = -1

Step-by-step explanation:

Substitute f(x) = -2 in the equation:

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

Add 3 both sides:

[tex] \displaystyle{ - 2 + 3= - x - 3 + 3 } \\ \\ \displaystyle{ 1= - x } [/tex]

Divide both sides by -1:

[tex] \displaystyle{x = - 1}[/tex]

Therefors x = -1 when f(x) = -2

Among the four options provided, the Marshall plan is the example of the option c, i.e Foreign aid.

The Marshall Plan, also known as the European Recovery Program (ERP), was a U.S. government initiative to rebuild the economies of Western Europe after World War II.

The Marshall plan was announced by U.S. Secretary of State George Marshall in 1947 and provided economic aid to European countries to help them recover from the devastation of the war and to prevent the spread of communism.

The Marshall Plan, also known as the European Recovery Program (ERP), was a foreign aid initiative provided by the United States government to aid in the reconstruction of the economies of European nations that were severely impacted by the effects of World War II. The main objective of this program was to provide financial support to these countries in order to rebuild their infrastructure, industries, and economies, with the aim of preventing the spread of communism and fostering economic recovery and stability throughout Europe.

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Answer:

Step-by-step explanation:

360 people can fit in 8 buses.

First we need to find how many people fit in 1 bus, so we can divide 495, the total number of people, by 11, the number of buses.

495/11=45

Now we know 45 people can go on 1 bus, and we have 8 of them, so we multiply these 2 numbers.

45*8=360

360 people.

Answer:
8 buses can carry 360 passengers

If this help please set brainliest.

Step-by-step explanation:

To find out how many people can fit in 8 buses, you need to multiply the number of people that can fit in one bus by the number of buses. Since 11 buses can carry 495 passengers and each bus can carry the same number of passengers, one bus can carry 495/11=45 45 passengers.

Therefore, 8 buses can carry 360 passengers.

The value of x is 4/3 for equation 1+3x=5.

Two or more expressions with an Equal sign is called as Equation.

The given equation is 1+3x=5

One plus three times of x equal to five

We need to solve for x

1+3x=5

Subtract 1 from both sides

3x=5-1

3x=4

Three times of x equal to four

Divide both sides by 3

x=4/3

Hence, the value of x is 4/3 for equation 1+3x=5.

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Answer:

Step-by-step explanation:

The volume of the cone is 37.68 centimetres cube.

The value of x in the equation -5(1/6-8) = 40 - х + 1/6х is 1

An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants.

The algebraic equation -5(1/6-8) = 40 - х +( 1/6)х has one variable which is x.

Firstly, we open the parentheses

-5/6 +40 = 40-x+(1/6) x

multiplying through by 6

-5+240 = 240-6x +x

collecting like terms

-5+240-240 = -5x

- 5 = -5x

divide both sides by -5

x= -5/-5

x= 1

therefore the value of x is 1

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