A photographer plans to frame photos that measure
7 inches long and 6 inches wide. Because his
frames are larger than the photographs, he will
make a mat of uniform width to fill the area between
the photograph and the frame.
Define a unit for each quantity in the worksheet.
Then enter a variable for the mat width and use
this variable to write expressions for the other
quantities.

Answer: Assuming that the selection of the toll booth is a random and independent event, the probability that Mr. Espinoza chooses the middle toll booth on Monday is 1/5 (or 20%), since there are five total toll booths and the middle booth is one of those options. Similarly, the probability that he chooses the middle booth on Tuesday is also 1/5 (or 20%).

To find the probability that he chooses the middle booth on Monday and Tuesday, we can multiply the probabilities of each event.

Probability of selecting middle booth on Monday AND selecting middle booth on Tuesday = (1/5) * (1/5) = 1/25 = 0.04 or 4%

So, Mr. Espinoza will select the middle toll booth on Monday and Tuesday with a probability of 4%. This means that the chance that both events will happen is low and quite rare, but not impossible.

Step-by-step explanation:

Answer:

try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:try -5

Step-by-step explanation:

mainly because it says -3 plus 5 and there's only 4 and 5 so It can't really go further

Answer:

288°

Step-by-step explanation:

[tex]l = \frac{ \theta}{360 \degree} \times c \\ \\ where \\ l = length \: of \: the \: arc \\ \theta \: = measure \: of \: the \: central \: angle \\ c = circumference \: of \: the \: circle \\ \\ \implies \: \frac{32}{5} = \frac{ \theta}{360 \degree} \times 8 \\ \\ 40 \theta = 32 \times 360 \degree \\ \\ \theta = \frac{ 32 \times 360 \degree}{40} \\ \\ \theta =32 \times 9 \degree\\ \\ \theta =288 \degree [/tex]

1) false

2) false

3) true

4) true

5) true

Answer:

1 false,2 false,3 true,4 true,5 true

Answer:

35°

Step-by-step explanation:

180 degrees is the total sum of the angles in a triangle.

180° - 130° = 50°

180° - 85° = 95°

50° + 95° = 145°

180° - 145° = 35°

Step-by-step explanation:

Calculate the approximate value: 26 x 0.87462

Calculate: 22.74012

Round  22.74012 to the required place

Answer:22.7

Hope this helps

Answer:

the answer is 6.63

Answer:

46 i think because 20+26 is 46

Answer:

The inverse property definition states when added together with its additive inverse, the sum of the two numbers will be zero. When a number is multiplied by its multiplicative inverse, the product will be one

Step-by-step explanation:

Answer:

Dom = R - {-4}

Range = R - {0}

Step-by-step explanation:

Answer:

5cm

Step-by-step explanation:

The hypotenuse is the longest side of the triangle

The ratio of money earned in August to July is 5/4.

Now, According to the question:

Let's know

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal to each other. For example, if there is 1 boy and 3 girls you could write the ratio as: 1 : 3 (for every one boy there are 3 girls) 1 / 4 are boys and 3 / 4 are girls.

Mason worked at the water park over the summer. He made $425 in June and $680 in July.

And if he made twice as much money In August as he did in June.

That means, he made $850 in August.

Then, The ratio will be :

= August / June

= 850/680

= 5/4

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Answer:

Principal=$2000

Rate=3%

Time=3 years

Interest=P*T*R/100

=$2000*3*3/100

=$18000/100

=$180

Step-by-step explanation:

What the height would need  for this curve to be a density curve is; One-half

The criteria for a curve to be a density curve is as follows;

1. The curve must always be non-negative. This tells us that the y-value of the curve must be greater than or equal to 0 at every given point.

2. The area under the curve must always be equal to 1.

Now, we are told that the curve starts at (-2, 0) and then goes to (5, question mark), and then goes down to (6, 0),.

This means that the area under the curve will be a trapezoid that has a height of question mark and then bases of length 3 (from -2 to 5) and length 1 (from 5 to 6).

The area of this trapezoid will be equal to the sum of the bases times the height divided by 2, or:

Area = ((3 + 1) × question mark)/2

Since the area under the curve must be equal to 1, we can set up the equation:

1 = ((3 + 1)  ×  question mark) / 2

Solving for question mark, we will:

The question mark = 2/4

The question mark = 1/2

Therefore, we can conclude that the height of the curve is  1/2

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Step-by-step explanation:

where is the question? i can help you

The length of each diagonal is √(196x^2 + 816x + 324) units.

The diagonal of a rectangle can be estimated using the hypotenuse formula, such as using the Pythagorean theorem calculator.

WX^2 = WY^2 + XZ^2

Given that WY = 14x + 10 and XZ = 11x + 22, we can substitute those values in the equation:

WX^2 = (14x + 10)^2 + (11x + 22)^2

WX^2 = 196x^2 + 816x + 324

WX = √(196x^2 + 816x + 324)

The same goes for the other diagonal, WZ.

WZ = √(196x^2 + 816x + 324)

So, the length of each diagonal is √(196x^2 + 816x + 324) units.

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The expression that represents the total price plus tax that Julian paid during shopping is 1.0575pp

How to write the expression of the total price Julian paid

The question is a percentage problem, percentage deals with a fraction hundred and used as follows

5.75%

= 5.75 percent

= 5.75 / 100

= 0.0575

The factor 0.0575 of the price  (pp dollars and cents) gives the total price paid

when the price paid is pp dollars and cents

= 0.0575 * pp + pp

= 1.0575pp

The total price paid is 1.0575pp

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Answer:

4

Step-by-step explanation:

:)

The projected population of Haleyville in 2020 is 4139.

A function is a relationship between inputs where each input is related to exactly one output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Population in 2010 = 4403

The decline in population per year = 0.06%

Now,

The population in 2020.

There are 10 years between 2010 and 2020.

The function used to find the population after x years.

= 4403 x [tex]0.994^x[/tex]

Now,

x = 10

= 4403 x [tex]0.994^{10}[/tex]

= 4403 x 0.94

= 4139

Thus,

The population in 2020 is 4139.

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Answer:

A: open circle above -2 arrow going to the right until +8

B: Open circle above -2 arrow going to the left until -8

C: Closed circle above -1 arrow going to the left until -8

D: Closed circle above 0 arrow going to the right until +8

Step-by-step explanation:

Answer:

[tex] {2x}^{2} + 12x + 8 \\ = {x}^{2} + 6x + 4 \\ = {x}^{2} + 6x + {( \frac{6}{2}) }^{2} + 4 - {( \frac{6}{2} )}^{2} \\ = ( {x}^{2} + 6x + {3}^{2} ) + ( - 5) \\ = {(x + 3)}^{2} - 5[/tex]

To fill one urn with one white ball and the second urn with the remaining nine white and ten black balls.

Probability measures how probable something is to occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out. Statistics is the study of events subject to probability.

By dividing the number of preferable possibilities by the total number of potential outcomes, probability, which measures the likelihood that an event will occur, is obtained. A coin flip is the most basic illustration. There are only two outcomes that can occur when you flip a coin: either heads or tails.

The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes. or P(A) = f/N

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The dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

In Mathematics, dimensions are referred to as measures of size such as length, width, and height of an object or a shape.

A square has sides of equal dimensions.

A rectangle has length and width as its dimensions that define the area of a rectangle.

Also, dimension is used widely to term the figure as one-dimensional, two-dimensional or three-dimensional.

Wood = 1.5 cm by 30 cm

Each cut = .15 mm by 4 mm

Steps = 21

The remaining dimension is calculated as:

Remaining = 1.5 cm - 21 * .15 mm by 30 cm - 21 * 4 mm

Express mm as cm

Remaining = 1.5 cm - 21 * .015 cm by 30 cm - 21 * 0.4 cm

Evaluate the difference

Remaining = 1.185 cm by 21.6 cm

Hence, the dimensions of the wood that remains after Tierra finishes making the 21 steps is 1.185 cm by 21.6 cm

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Answer:

7.5 cups of sugar

Step-by-step explanation:

You should use proportions to find the answer.

9/18 = 15/x

Cross multiply:

9*15 = 135

135/18 = 7.5

Because half of 18 is 9, you just need to find half of 15, which is 7.5.

The theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

In the given question, we have to find the experimental probability of choosing a heart compare with the theoretical probability of choosing a heart.

We are aware that a deck's total number of cards= 52

Total number of hearts = 13

Then the theoretical probability of getting a heart = Number of cards have hearts/Total cards

Then the theoretical probability of getting a heart = 13/52

Then the theoretical probability of getting a heart = 1/4

Then the theoretical probability of getting a heart = 0.25

Cards chosen by Rochelle : Clubs 29, Spades 13, Hearts 15, Diamonds 23

Total cards  = 80

The experimental likelihood of experiencing a heart attack = Number of cards have hearts/Total cards

The experimental likelihood of experiencing a heart attack = 15/80

The experimental likelihood of experiencing a heart attack = 3/16

The experimental likelihood of experiencing a heart attack = 0.185

Since, 0.25 > 0.1875 so, Theoretical probability > Experimental probability

and,

Theoretical probability = 0.25-0.1875

Theoretical probability = 0.0625

Theoretical probability = 625/10000

Theoretical probability = 1/16

Hence, the theoretical likelihood of selecting a heart is 1/16 times higher than the actual likelihood.

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The solution is Option B.

Number of seats for the students is given by the equation A = 231 seats

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the number of seats for the students be A

Now , the equation will be

The total number of buses = 3 buses

The total number of seats on each buses = 80 seats

So , the total number of seats = number of buses x number of seats on each buses

Substituting the values in the equation , we get

The total number of seats = 80 x 3

The total number of seats = 240 seats

Now , the teachers has 3 seats each on 3 buses

So , the number of seats for teachers = 3 x 3 = 9 seats

And , the remaining number of seats = total number of seats of students

The total number of seats for students A = total number of seats - number of seats for teachers

Substituting the values in the equation , we get

The total number of seats for students A = 240 - 9

The total number of seats for students A = 231 seats

Therefore , the value of A is 231 seats

Hence , the number of seats for students is 231 seats

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