On Wednesday, a local hamburger shop sold a combined total of 321 hamburgers and cheeseburgers. The number of cheeseburgers sold was two times the number of hamburgers sold. How many hamburgers were sold on Wednesday?

Repeat this process for a large number of trials (e.g., 1000) and use the proportion of trials where all three-coin flips resulted in tails as an estimate of the probability that three randomly chosen people do not work out for the desired amount.

by the question.

To simulate this situation, you can use a set of three-coin flips, where heads represent the event that a person exercises for 30 minutes a day at least three times a week, and tails represent the event that a person does not exercise for that amount.

To simulate the first person, flip a coin once. If it lands heads, consider the person as exercising enough; otherwise, consider the person as not exercising enough.

Repeat this process for the second and third person as well, each time flipping the coin once to determine if the person exercises enough.

After the three-coin flips, count the number of times the coin landed tails, which represents the number of people who do not exercise for 30 minutes a day at least three times a week.

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If the car's wheels revolve 10,000 times without slipping, the car will travel approximately 9.92 miles.

The circumference of a circle (which is the distance around it) is given by the formula:

C = πd, where d is the diameter of the circle.

In this case, the diameter of the car's wheels is 20 in., so the circumference of each wheel is:

C = πd

C= π(20 in.) =

C = 20π in.

If the car's wheels revolve 10,000 times without slipping, then the total distance the car travels is:

distance = number of revolutions × circumference

distance = 10,000 × (20π in.)

To convert this distance to miles, we need to divide by the number of inches in a mile, which is 63,360 in.

distance = (10,000 × 20π in.) / 63,360 in./mi

distance = 9.92 miles

Therefore, distance traveled by the car is 9.92 miles.

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After answering the provided question, we can conclude that As a result, percentage the answer is A. 27.5%.

A percentage is a ratio or number expressed as a percentage of 100 in mathematics. The abbreviations "pct.," "pct," and "pc" are also used on occasion. Despite this, the percentage symbol "%" is commonly used to represent it. The % value is dimensionally empty. In essence, percentages are fractions with a denominator of 100. To indicate that a number is a percentage, a percent sign (%) should be placed next to it. For example, you receive a 75% on an exam if you correctly respond to 75 out of 25 pages (75/100). Divide the result by 100 after dividing the amount by the total when calculating percentages. The percentage is found by multiplying (value/total) by 100%.

To calculate the percentage of Monroe Middle School seventh-graders who participate in the school band, divide the number of students who play an instrument by the total number of seventh-graders and multiply the result by 100.

There are 33 seventh-graders in the school band, and there are 120 seventh-graders in total. Therefore:

percentage = (33 / 120) x 100% % = 27.5%

As a result, the answer is A. 27.5%.

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Answer:

[tex]15x^2+4y-4z^2[/tex]

Step-by-step explanation:

Solve this question patiently.

See explanation in the attached picture.

The distance across the lake, given the distance of the tree and Cade would be 14.36 ft.

We can use the concept of similar triangles to solve this problem:

(Length of the tree's shadow) / (Distance from the tree to the edge of the lake) = (Length of Cade's shadow) / (Cade's height)

36.2 / 15 = 2.5 / 6.2

Now we can set up another proportion using the length of the tree's shadow and the length of the lake:

(Length of the tree's shadow) / (Length of the lake) = (Distance from the tree to Cade) / (Length of Cade's shadow)

Plugging in the values we know, we get:

36.2 / 15.6 = 15 / 2.5

6.2 * 2.32051282 = 14.36 ft

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The full question is:

The trees shadow is 36.2 feet long. The tree is 15 feet away from the edge of the lake. Cade is 6.2 feet tall and his shadow is 2.5 feet long, his shadow is measured at the exact time the trees shadow reaches the other side of the lake which is 15.6 feet long. What is the distance across the lake (water's edge to opposite side)​

Using the laws of exponents, the solution to the given problem is: 25

Some of the laws of exponents are:

1) Product of powers rule: This means that we add powers together when multiplying like bases.

2) Quotient of powers rule: This means that we subtract powers when dividing like bases.

3) Power of powers rule: This means that we multiply powers together when raising a power by another exponent.

4) Power of a product rule: This means that when any base is being multiplied by an exponent, distribute the exponent to each part of the base.

5) Negative exponent rule: This means that when there is a number being raised by a negative exponent, flip it into a reciprocal to turn the exponent into a positive

We are given the expression:

[tex]\frac{1}{5^{-2} }[/tex]

Using the negative exponent rule, we will have:

5² = 25

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California has the larger population, and it is approximately 20 times larger than Nebraska's population.

The population of California is 3.8 million, while the population of Nebraska is 1.9 million. To find the difference between the two populations, we can calculate 3.8 million minus 1.9 million, which equals 1.9 million. To find the ratio, we can divide the population of California by the population of Nebraska, which is 3.8 million divided by 1.9 million, which equals 2. Thus, California has a population that is 20 times larger than the population of Nebraska.

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The result will be the amount of interest earned or paid. Don't stress out too much - with a little practice, you'll become an expert at using this formula!

Sure, I'd be happy to help you with I=prt! This formula is used to calculate simple interest. "I" stands for the interest, "p" stands for the principal (the amount of money borrowed or invested), "r" stands for the interest rate (expressed as a decimal),

and "t" stands for the time period (usually expressed in years). To use the formula, simply multiply the principal by the interest rate and the time period (in years).

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Answer:

$3.45

Step-by-step explanation:

the large salad costs 1.40 more

large salad = 4.85

small salad = 4.85 - 1.40

small salad costs $3.45

Answer:

3.45$ is the price of small salad as it costs 1.40$ less than large salad

Step-by-step explanation:

i hope you find it helpful, have a nice day

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given equations,

→ x - y = 5

→ 4x + y = 10

Now we have to,

→ Find the required value of x and y.

Let's solve for the value of x,

→ (x - y) + (4x + y) = (5) + (10)

→ x + 4x - y + y = 5 + 10

→ 5x + 0 = 15

→ 5x = 15

→ x = 15/5

→ [ x = 3 ]

Then the value of y will be,

→ 4x + y = 10

→ 4(3) + y = 10

→ 12 + y = 10

→ y = 10 - 12

→ [ y = -2 ]

Hence, the value of y is -2.

Step-by-step explanation:

All three angels of a triangle have to sum to 180 degrees ....so there is only 90 degrees left for the other two  equal-sized angles (isosceles).....they must be 45° each

Answer:

4

Step-by-step explanation:

because it median, so it number  was the middle of the total

as we know there is total of 9

and we count to 5

so it 4 letters

Answer:

4

Step-by-step explanation:

arranging the name lengths from smallest to largest we have; 3,3,3,3,4,5,7,7,9

From the set of numbers,4 appears at the middle hence the median name length.

The perimeter of the quadrilateral GHJK is 24(1+√2) which can be by using the radius of the circle, 6cm.

Perimeter is the total length of the outside boundary of any two-dimensional shape. Perimeter is calculated by adding up the length of each side of a shape.

In order to calculate the perimeter of the quadrilateral, we need to first find the length of the sides.

We can do this by using the radius of the circle, r.

The side GH is equal to r+r=2r.

The side HK is equal to (r+r)√2=2r√2.

The side JK is equal to (r+r)√2=2r√2.

And the side GJ is equal to 2r.

Now that we have the lengths of the sides, we can calculate the perimeter of the quadrilateral.

The perimeter is equal to the sum of the four sides=

2r + 2r√2 + 2r√2 + 2r

= 4r+4r√2

= 4r(1+√2)

=4*6(1+√2)

=24(1+√2)

Therefore, the perimeter of the quadrilateral GHJK is 24(1+√2).

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The perimeter of the square GHJK is 48cm which can be by using the radius of the circle, 6cm.

Perimeter is the total length of the outside boundary of any two-dimensional shape. Perimeter is calculated by adding up the length of each side of a shape.

In order to calculate the perimeter of the quadrilateral, we need to first find the diameter of the circle.

We can do this by using the radius of the circle, r=6cm.

So, diameter= 2*6

=12cm

As the quadrilateral is enclosing the circle, it must be a square.

So, now the length of the sides of the square= diameter of the circle.

which is 12cm.

A square has  4 equal sides. Thus the perimeter of the quadrilateral which is a square

=4*12cm

=48cm

Therefore, the perimeter of the quadrilateral GHJK is 48cm.

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Answer:

1. Sara has more than Martin

2. No, Jon has less money than martin

Step-by-step explanation:

[tex]\text{Martin}=0.50[/tex]

[tex]\text{Sara}: 0.50\times10 = 5[/tex]

[tex]\text{Jon}: 0.50(\dfrac{1}{10} )= 0.05[/tex]

Answer: They are not

Step-by-step explanation:

To be linear it needs to be a diagonal arrow across. Most of these don't follow that rule, therefore it is not linear.

The cylinder has a radius of 2 times the square root of 5 meters, or roughly 4.5 meters rounded to the nearest tenth.

The formula for the volume of a cylinder is:

V = πr²h

where V is the volume, r is the radius, and h is the height.

In this case, we have:

V = 160π m³

h = 8 m

Substituting these values into the formula, we get:

160π = πr²(8)

Simplifying the equation by canceling out π on both sides, we get:

160 = 8r²

Dividing both sides by 8, we get:

20 = r²

Taking the square root of both sides, we get:

r = √20

Simplifying the radical by factoring out 4, we get:

r = 2√5

To express the radius as a decimal rounded to the nearest tenth, we can use a calculator to get:

r ≈ 4.5

Therefore, the radius of the cylinder is 2√5 meters or approximately 4.5 meters to the nearest tenth.

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The area of the shaded region is 19, which can be calculated by subtracting the unshaded region from the shaded region.

Area of the whole square= side *side

= 5*5

= 25

Area of the rectangle inside the square= lenght*breadth

=3*2

=6                                                                  

Now,

Area of the shaded region= Area of the square - Area of the rectangle

= 25-6

= 19.

The area of a square is the measure of the region enclosed by a square, and it is equal to the length of one side squared. The area of a rectangle is equal to its length multiplied by its width.

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The solution to this given question should be -3/14. We can find it in the following manner.

−(14w+8)+8=3

-14w - 8 + 8 = 3

-14w = 3 (+8 and -8 get cancelled)

w = -3/14

This is how one can simplify the equation and solve for w.

None of the given options match the solution we obtained. Therefore, there may have been an error in the question or the answer choices.

To simplify simply means to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.

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This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Let x be the number of gumballs that Bob buys, and let y be the number of jawbreakers that Bob buys.

The cost of buying x gumballs is $0.50 times x, or 0.50x. The cost of buying y jawbreakers is $0.30 times y, or 0.30y.

Bob has $3.00 to spend on candy, so we can write an inequality to represent the total cost of buying both types of candy:

0.50x + 0.30y ≤ 3.00

This inequality states that the total cost of buying x gumballs and y jawbreakers must be less than or equal to $3.00.

Note that this inequality assumes that Bob spends all of his money on candy. If Bob wants to save some money or spend it on something else, the inequality would need to be modified accordingly.

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Answer:

B) 2

Step-by-step explanation:

First, we need to find BD:

by the Pythagorean theorem, (sqrt13)^2 + (sqrt23)^2 = BD^2

we can simplify this to 13+23=BD^2, which means BD^2 = 36, and BD is 6.

Therefore to find BC, we can use the Pythagorean theorem again and create the formula:

(4sqrt2)^2 + BC^2 = 6^2

This simplifies to 32 + BC^2 = 36, which means that BC^2 = 4, and BC = 2.

Answer: Table 3

Step-by-step explanation:

exponential relationship means the y value is increasing/decreasing exponentially

In table 1: the value of y is NOT increasing/decreasing exponentially as 2 is being added continuously (linear), so not table 1

In table 2: the value of y is NOT increasing/decreasing exponentially as 4 is being subtracted continuously (linear), so not table 2

In table 3: the value of y IS increasing exponentially as the y variable is multiplied by 2, so table 3

In table 4: the value of y is NOT increasing exponentially as the y variable is only being increased by 5 constantly (linear), so not 4

The required transformed coordinates of the quadrilateral as:A'(-10, 0),B'(-8, -6),C'(-3, -7), D'(0, -3).

The image matrix for the composite transformation of a rotation of 270º and a reflection over the line y=-x can be found by multiplying the transformation matrices for each operation.

The rotation matrix for 270º counterclockwise can be represented as:

[tex]$R_{270} = \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix}$[/tex]

The reflection over the line y=-x can be represented as:

[tex]$F_{y=-x} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix}$[/tex]

To find the composite transformation matrix, we multiply the two matrices:

[tex]$M = F_{y=-x} \cdot R_{270} = \begin{bmatrix}0 & -1 \-1 & 0\end{bmatrix} \cdot \begin{bmatrix}0 & -1 \1 & 0\end{bmatrix} = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix}$[/tex]

To apply this transformation to the coordinates of the quadrilateral ABCD, we write each point as a column vector:

[tex]$A = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex],

[tex]$B = \begin{bmatrix}-8 \6\end{bmatrix}$[/tex],

[tex]$C = \begin{bmatrix}-3 \7\end{bmatrix}$[/tex],

and

[tex]$D = \begin{bmatrix}0 \3\end{bmatrix}$[/tex]

We can then apply the composite transformation matrix M to each of these vectors:

[tex]$A' = M \cdot A = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-10 \0\end{bmatrix} = \begin{bmatrix}-10 \0\end{bmatrix}$[/tex]

[tex]$B' = M \cdot B = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-8 \6\end{bmatrix} = \begin{bmatrix}-8 \-6\end{bmatrix}$[/tex]

[tex]$C' = M \cdot C = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}-3 \7\end{bmatrix} = \begin{bmatrix}-3 \-7\end{bmatrix}$[/tex]

[tex]$D' = M \cdot D = \begin{bmatrix}1 & 0 \0 & -1\end{bmatrix} \cdot \begin{bmatrix}0 \3\end{bmatrix} = \begin{bmatrix}0 \-3\end{bmatrix}$[/tex]

We can then write the transformed coordinates of the quadrilateral as:

A'(-10, 0),

B'(-8, -6),

C'(-3, -7),

D'(0, -3)

Therefore, the image matrix of quadrilateral ABCD after the composite transformation is:

[tex]$ \begin{bmatrix}-10 & -8 & -3 & 0 \0 & -6 & -7 & -3\end{bmatrix}$[/tex]

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Answer:

-17y-4

Step-by-step explanation:

we can simplify it to -17y-4 by combining like terms.

Model reef can sustain 20% net fishing  because the species didn’t increase as much as it did with the other net fishing method.

Explanation:

What is reef fishing ?

Reef fishing is commonly called “Bottom Bouncing” where anglers using heavy 60-100lb handline and rod techniques to target such prized eating fish as Coral Trout, Red Emperor and Nannygai.

What is net fishing ?

A fishing net is a net used for fishing. Nets are devices made from fibers woven in a grid-like structure. Some fishing nets are also called fish traps, for example fyke nets.

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The solution of the absolute inequality is x < -9 or x > 1

Inequalities are mathematical expressions involving the symbols >, <, ≥ and ≤.

Absolute inequalities are inequalities  that involve algebraic expressions with absolute value symbols and inequality symbols.

Therefore, let's solve the absolute inequality as follows:

|2x + 8| > 10

2x + 8 > 10 or 2x + 8 < - 10

Let's solve them individually,

2x + 8 > 10

2x > 10 - 8

2x > 2

x > 2 / 2

x > 1

Therefore,

2x + 8 < - 10

2x < - 10 - 8

2x < -18

divide both sides of the inequality by 2

x < -18 / 2

x < - 9

Therefore,

x < -9 or x > 1

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Answer:

i) ABCDEF has an area of 98m

ii) Flower bed has an area of 6m

iii) The area of the grass is 92m

Hope this helps!

Step-by-step explanation:

The area of a triangle is  [tex]\frac{1}{2}[/tex] × L × H

The area for the triangle flower bed will be [tex]\frac{1}{2}[/tex] × 6m × 2m or 6m.

In order to find the entire area of ABCDEF, draw a segment FC to create a trapezoid and a rectangle. The rectangle has an area of 77m ( 7 × 11 ). The trapezoid has a formula of [tex]\frac{1}{2}[/tex] × ( b + b ) × h, this would be [tex]\frac{1}{2}[/tex] × ( 10 + 11 ) × 2.

The trapezoid has an area of 21, this added to the rectangle's area of 77 equals 98m as the total area of the garden.

Subtract the area of the flower bed ( 6 ) from the area of the garden, and you get an area of 92m. This is the area of grass.

Answer:

2200

Step-by-step explanation:

have a good day

The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.

A basic tenet of mathematics is the distributive property of multiplication over addition, which asserts that the product of a number and a sum is equal to the total of the products of the number and each addend. In other words, if a, b, and c are all real numbers, then a(b + c) = ab + ac. By factoring out common components, this characteristic is employed in algebra to simplify statements and resolve equations.

The link between the base price and the selling price with the markup is expressed differently in both equations, but they are both true and accurately depict the same scenario using the distributive property.

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