Joe made a scale drawing of the community pool in his town. the pool has a perimeter of 77 meters, what is the length and width in meters?

Answer:

Figure is attached:

Acute angles are angles whose measures are less than 90°, so it needs to be less than a right angle.

Vertical angles are angles formed by two intersecting lines. When these lines intersect they form 4 angles in the middle. They are called vertical when they are opposite of each other like the figure attached.

Supplementary angles are two angles that sum up to 180° or they make up a straight line.

Complementary angles are two angles that sum up to 90°.

Adjacent angles are angles that are next to each other.

Answer:

3 teaspoons of salt is needed to cook the recipe for 8 people.

So, the correct option is d. 3 teaspoons.

Step-by-step explanation:

Given:

Mike has a recipe that feeds one person that calls for 3/8 teaspoon of salt.

Now, to find the quantity of salt is needed to cook the recipe for 8 people.

As, given the recipe feeds:

[tex]\frac{3}{8}[/tex] teaspoon salt per person.

Now, to get the salt needed to cook the recipe for 8 people we multiply  [tex]\frac{3}{8}[/tex] by 8:

[tex]\frac{3}{8}\times 8[/tex]

[tex]=\frac{24}{8}[/tex]

[tex]=3.[/tex]

Thus, 3 teaspoons of salt is needed to cook the recipe for 8 people.

So, the correct option is d. 3 teaspoons.

Answer:

trump

Step-by-step explanation:

Answer:

need more details

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

Answer: Second option.

Step-by-step explanation:

Given the following Inequality provided in the exercise:

[tex]50 - 8m \geq 0[/tex]

You need to solve for "m".

Then, you can follow the steps below in order to find the solution of the inequality:

Step 1: You must apply the Subtractrion property of Inequality and subtract 50 from both sides:

[tex]50 - 8m-(50) \geq 0-(50)\\\\- 8m \geq -50[/tex]

Step 2: Now you need to apply the Division property of Inequality and divide both sides of this inequality by -8 (Since you are dividing both sides by a negative number the direction of the inequality changes). Then, you get:

[tex]\frac{- 8m}{-8} \geq \frac{-50}{-8}\\\\m\leq \frac{25}{4}\\\\m\leq6.25[/tex]

Notice that this solution matches with the second option.

The correct answer is that 55 squares on a 10-by-10 grid would be shaded to represent 55%.

To solve this problem, we need to calculate the total number of squares on a 10-by-10 grid and then determine what 55% of that total would be.

First, we calculate the total number of squares on the grid:

[tex]\[ \text{Total squares} = 10 \times 10 \\\[ \text{Total squares}= 100 \][/tex]

Next, we find 55% of the total number of squares:

[tex]\[ \text{Number of shaded squares} = \frac{55}{100} \times 100 \][/tex]

[tex]\[ \text{Number of shaded squares} = 55 \][/tex]

So, to represent 55% on a 10-by-10 grid, we would shade 55 out of the 100 squares.

Answer:

7 in each folder for a total of 49 pages. 7x7=49

Step-by-step explanation:

You may put a number that is a multiple of 7 which divides in to seven folders pages evenly.

Final answer:

To determine the number of pages per folder, divide the total number of pages, which is 292,992, by the number of folders, which is seven. Each folder contains 41,856 pages.

Explanation:

The student has a total of 44,800mm shelf width, which converts to 292,992 pages at a rate of 6.54 pages/mm. To find out how many pages need to go into each of the seven folders, one would simply divide the total number of pages by the number of folders.

The calculation goes as follows:

Total pages / Number of folders = Pages per folder

292,992 pages / 7 folders = 41,856 pages per folder.

Each folder would therefore contain 41,856 pages.

Answer:

2.2

Step-by-step explanation:

22 divide by 10 = 22 miles/2.2 gallons

hope it helps

Answer:

D. an applied force.

Step-by-step explanation:just did it

Answer:

an applied force.

Step-by-step explanation:

An applied force is a force that occurs by pushing or pulling.

An applied force is a contact force because it requires contact between the person or object pushing or pulling and the object being pushed or pulled.

ers as the elements in the rows near the bottom.

C.  

have higher atomic numbers than the elements in the rows near the bottom.

D.  

have lower atomic numbers than the elements in the rows near the bottom.

Answer:

Step-by-step explanation:

The question simply means how many pizzas are sold per coupon. The equation gives us 3.4x where x is the number of coupons issued. With each coupon issued 3.4 pizzas are sold.

For each additional coupon issued, 3.4 more pizzas are sold according to the linear model y = 3.4x + 43.

The student's question pertains to the interpretation of a linear equation as it relates to a scatter plot of data on pizzas sold versus coupons issued.

The given equation is y = 3.4x + 43, which is a linear model describing this relationship.

In such a linear model, the coefficient of x (which is 3.4 in this case) represents the slope of the line and indicates the rate of change.

In other words, it tells us how many more pizzas are sold for each additional coupon issued.

Therefore, for each additional coupon issued, 3.4 more pizzas are sold according to this model.

Option B is the correct answer.

Answer:

Step-by-step explanation:

[tex]3\sqrt{x+3}-6=0\\\\3\sqrt{x+3}=6\\\\\sqrt{x+3}=\frac{6}{3}\\\\\sqrt{x+3}=2\\\\Takesquarebothsides,\\\\x+3=2^{2}\\\\x+3=4\\\\x=4-3\\\\x=1[/tex]

Answer:

23

Step-by-step explanation:

you add all the numbers

Answer:x f(x)=0.5x g(x)=−0.5x+1

This implies that f(x)= 0.5 and

g(x)= -0.5x + 1

-0.5x + 1= 0.5

-0.5x= 0.5-1

-0.5x=-0.5

x= -0.5/-0.5

x=1

Step-by-step explanation:

Final answer:

To solve f(x) = g(x), set 0.5x equal to −0.5x + 1. Solve for x by combining like terms, which gives x = 1 as the solution.

Explanation:

To determine the solution to f(x) = g(x), we set the two functions equal to each other and solve for x.

The function f(x) is given by f(x) = 0.5x, and the function g(x) is given by g(x) = −0.5x + 1.

Setting f(x) equal to g(x), we have:
0.5x = −0.5x + 1

To solve for x, we'll combine like terms by adding 0.5x to both sides, which gives us:
0.5x + 0.5x = 11x = 1

When we divide both sides by 1, we get:

x = 1

So the solution to f(x) = g(x) is when x = 1.

The difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.

The question asks for the difference in mass between Venus and Earth. To find this, we subtract the mass of Venus from the mass of Earth. The calculation goes as follows:

Mass of Earth = 5.97 times 10²⁴ kg

Mass of Venus = 4.87 times 10²⁴ kg

Difference = Mass of Earth - Mass of Venus

Difference = (5.97 times 10²⁴) - (4.87 times 10²⁴) = 1.10 times 10²⁴ kg

So, the difference in mass between Earth and Venus is 1.10 times 10²⁴ kg.

Answer:

Step-by-step explanation:

Let, the speed of the airplane is x miles/hour and the wind is w miles/hour.

With the wind, the speed will be (x + w) miles/hour  and against the wind, the speed will be (x - w) miles/hour.

As per the given question, [tex]3.6(x + w) = 1800\\4(x - w) = 1800\\(x - w) = 450[/tex]or, w = x - 450.

Now, [tex]3.6(x + w) = 1800\\2x -450 = 500\\2x = 950\\x = 475[/tex].

Thus, w = 475 - 450 = 25.

Answer:

11/16

Step-by-step explanation:

First get common denominators

1/4*4/4=4/16

15/16-4/16=11/16

11/16 is the answer

Final answer:

The difference between 15/16 and 1/4 is 11/16.

Explanation:

To find the difference between two fractions, we need to have a common denominator. In this case, the common denominator is 16.

Converting 1/4 into a fraction with a denominator of 16, we get 4/16.

Now we can subtract the two fractions: 15/16 - 4/16 = 11/16.

Therefore, the difference between 15/16 and 1/4 is 11/16.

To find the distance from a point to a line, we can use the distance formula. For this problem, the distance from point A(-2,3) to the line y=1/2x+1 is approximately 2.5 units.

To find the distance from a point to a line, we can use the formula for the distance between a point and a line. The formula is:

d = |Ax + By + C| / √(A^2 + B^2)

In this case, the equation of the line is y = (1/2)x + 1, which can be rewritten as 2x - y + 2 = 0. Plugging in the coordinates of point A in the equation, we get:

d = |(2 * -2) + (-1 * 3) + 2| / √((2^2) + (-1^2)))

After completing the calculation, rounding the answer to the nearest tenth, the distance from point A(-2,3) to the line y = (1/2)x + 1 is approximately 2.5 units.

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Answer:

Step-by-step explanation:

He earns $15n

Answer:

  1/2

Step-by-step explanation:

Put the numbers where the corresponding variables are and do the arithmetic.

  1/2(-2)^(-4)·(4)^2 = 1/2(4^2/(-2)^4) = 1/2(16/16) = 1/2

__

We used the rule of exponents ...

  a^-b = 1/(a^b)

Answer:

5 times

Step-by-step explanation:

First, we need to read the change in price in 2000 and 2007, from the graph.

So, the change in price in 2000 was $0.14 and in 2007 it was $0.71.

Now, we do the same thing we always do when comparing two values - we divide them. So:

0.71 / 0.14 = 5.07

Of course, we could multiply these values with 100, in order to avoid decimal numbers. Then we would get:

71 / 14 = 5.07

We could also divide this in the form of fractions:

71/100 / 14/100 = 5.07

There are several ways we could divide rational numbers, but the result will always be the same.

Change in price in 2007 was around 5 times greater than the change in 2000.

Answer:

0.75x-18.50=0.65x

0.65x-0.75x=-18.50

-0.10x=-18.50

x=0.0054054054

Step-by-step explanation:

Answer:

185

Step-by-step explanation:

A candy cost x dollars. It is known that a bottle of water costs 0.75 times more and a hamburger costs 0.65 times more than a candy. It is also known that a water bottle costs more than a hamburger for 18.75 dollars. Whats the price of a candy.

0.75x-18.5=0.65x

0.1x=18.5

x=185

Omg! A candy costs 185 dollars xD

Answer:

x = 72

Step-by-step explanation:

To solve for 'x', isolate it. This means to keep 'x' on one side of the equal sign, while moving the other numbers to the other side. The numbers on the other side will tell you what 'x' equals to.

When 'moving' a number to the other side, you cancel it out where it originally is by doing reverse operations. (Reverse operation pairs are addition/subtraction and division/multiplication). To keep an equation balanced, what you do to one side you have to do to the other.

[tex]\frac{3}{8}x-17=10[/tex]        Keep 'x' on the left and move everything over.

[tex]\frac{3}{8}x-17+17=10+17[/tex]        Add 17 to both sides. "-17" cancels out on the left.

[tex]\frac{3}{8}x=27[/tex]        Simplified right side

[tex]\frac{3}{8}x/\frac{3}{8}=27/\frac{3}{8}[/tex]        Because 3/8 originally multiplies with 'x', do the reverse: divide both sides by 3/8.

[tex]x=27/\frac{3}{8}[/tex]        To divide a fraction, change to multiplication and flip the fraction's top and bottom numbers.

[tex]x=27*\frac{8}{3}[/tex]        Combine the factors into one fraction.

[tex]x=\frac{27*8}{3}[/tex]        Multiply 27 by 8 in the numerator.

[tex]x=\frac{216}{3}[/tex]        Simplify the fraction by dividing top by bottom.

[tex]x=72[/tex]        Final answer, solved for 'x'

I believe the answer would be B because it makes the most sense putting the figures scaled in my head with the already designated lengths

To prove that LMN~XYZ by the SSS similarly theorem , the measure of sides are LM is 4 units and XZ is 6 units

If two triangles' corresponding angles are congruent and their corresponding sides are proportional, they are said to be similar triangles. In other words, similar triangles have the same shape but may or may not be the same size. The triangles are congruent if their corresponding sides are also of identical length.

Corresponding sides of similar triangles are in the same ratio. The ratio of area of similar triangles is the same as the ratio of the square of any pair of their corresponding sides

Given data ,

Let the first triangle be ΔLMN

Let the second triangle be ΔXYZ

Now , the corresponding sides are

LM / XY = LN / XZ

On simplifying , we get

The corresponding sides of similar triangles are in the same ratio

So ,  LM is 4 units and XZ is 6 units

Hence , the triangles are similar by SSS theorem

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Answer:

70° and 20°

Step-by-step explanation:

let x be the measure of one angle then x + 50 is the measure of the other angle, thus

x + 50 + x = 90

2x + 50 = 90 ( subtract 50 from both sides )

2x = 40 ( divide both sides by 2 )

x = 20

The smallest angle is 20° and the other angle is 20 + 50 = 70°

Answer:

[tex]x<-\frac{1}{4}[/tex]

Step-by-step explanation:

The correct question is

Solve. −3/5x+1/5>7/20 Drag and drop a number or symbol into each box to show the solution

we have

[tex]-\frac{3}{5}x+\frac{1}{5} >\frac{7}{20}[/tex]

Solve for x

Multiply by 20 both sides

[tex]-12x+4 >7[/tex]

subtract 4 both sides

[tex]-12x >7-4[/tex]

[tex]-12x >3[/tex]

divide by -12 both sides

Remember that when you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol

[tex]x<-\frac{3}{12}[/tex]

simplify

[tex]x<-\frac{1}{4}[/tex]

Answer:

x < 1/4

Step-by-step explanation:

you're supposed to add or subtract the constant, and then do the same to the other constant, them bring down the coefficient and you'll get your answer.

hope this helps

Substitution method is used  for solving systems of equations in which you plug in an expression for one variable written in the terms of the other

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

The method described is called substitution method.

In the substitution method, we start by solving one equation for one of the variables in terms of the other variable.

Then, we substitute the expression we found for that variable into the other equation.

This allows us to solve for the other variable.

Finally, we substitute the value we found for that variable back into one of the original equations to solve for the first variable.

Hence, substitution method is used  for solving systems of equations in which you plug in an expression for one variable written in the terms of the other

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Answer:

[tex]\frac{145}{13}[/tex]

Step-by-step explanation:

 2÷13+11

= (2÷13)+11

= (2÷13)+(11×13÷13)

=(2÷13)+(143÷13)

= 145÷13

Answer:

A) 100000

B) 80/100000

Step-by-step explanation:

A) it is a simple matter of multiplying the possibilities of the digit it could be to the second one then to the third and so on and so forth

B) if a person were to enter a 5 digit code at random say it be 00000 then that person would have 80 out of a 100000 chance of unlocking the door as there are only 80 access codes that are correct

There are 100,000 possible 5-digit codes. The probability of a random 5-digit code granting access is 0.0008 or 0.08%.

This problem involves combinatorics and probability.

a) If each digit of the 5-digit code can be any number from 0-9, then for each digit, 10 possibilities exist. Hence the total number of possibilities for a 5-digit code would be 10*10*10*10*10, which is 100,000. So there are 100,000 possible 5-digit codes.

b) Probability is defined as the number of ways an event can occur over the total number of outcomes. If each 5-digit code is unique and assigned to only one employee, with 80 employees, there are 80 valid codes. Therefore, the probability of someone entering a 5-digit code at random and gaining entry would be 80 (the number of successful outcomes) divided by 100,000 (the total number of possible outcomes), which is 0.0008 or 0.08%.

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Final answer:

The missing data values 'a' and 'c' are determined by recognizing the linear pattern in the table, giving an 'a' value of 6 and a 'c' value of 14, which corresponds to answer choice B.

Explanation:

To determine the missing data values for a linear function, we need to identify the pattern in the given data points. We are given the data points (1, 2), (2, 4), and told that the function is linear. The change in the y-values as x increases by 1, is a consistent +2 (from 2 to 4 as x goes from 1 to 2).

To find the value of 'a' when x = 3, we add 2 to the previous y-value of 4 (at x = 2), resulting in an 'a' value of 6. To find the value of 'c' when x = 7, we add 2 repeatedly for each increase in x, which is 4 steps away from x = 3, resulting in a 'c' value of 6 + 2*4 = 14.

The missing data values 'a' and 'c' are 6 and 14, respectively, which corresponds to choice B.