Sam and Bryan meet at the gym. Sam travels 6 miles farther to the gym than Bryan. Three times the distance Bryan travels is 12
miles. If x represents the distance traveled by Bryan to the gym, which statements are true when determining the distance traveled by
each?

y = -3

Slope intercept form is y = mx + c.

"m" is the slope and "c" is the y-interecept.

The slope is calculated by dividing the change in y values by change in x values. However, you can see from these two points that as the value of x changes, the value of y stays the same (-3). This means the slope is zero, as it doesn't move up in the y-direction at all.

This means y = 0x + c

You can substitute 14 for y and -3 for x from the first point to get:

-3 = 0(14) + c

-3 = c

y = 0x + -3

Which is the equation of the line in slope-intercept form.

This is the same as saying y = -3, as for every x value, y will always be -3.

Answer:

0.52

Step-by-step explanation:

From the above question:

48% of students in a school are girls.

Let the total percentage of students = 100%

The percentage representing boys = 100% - 48% = 52%

Hence, the probability that a boy is picked​ = P(boy) = Percentage of boys/ Total percentage

P(boy) = 52%/100%

= 0.52/1

= 0.52

Therefore, the probability that a boy is picked is 0.52

Answer:

107

Step-by-step explanation:

3x + 16 + 5x - 4 = 180 (Being linear pair)

8x + 12 = 180

8x = 180 - 12

8x = 168

x = 21

3x + 16 = 3 * 21 + 16 = 79

< C = 79 ( being corresponding angles)

< d + < c = 180 ( being linear pair)

< d = 180 - 79

< d = 107

Hope it will Help :)❤

Answer:

B.

hope this helps

have a good day :)

Step-by-step explanation:

Answer: 5k^2-7k-4

Step-by-step explanation: substitute (k-1) in for the x's

5(k-1)^2+3(k-1)-6

(k-1) * (k-1) = k^2-2k-1

5(k^2-2k-1) = 5k^2-10k+ 5

then do 3(k-1)-6

3k-3-6 (combine like terms)

3k-9

5k^2-10k+5 +3k-9 (combine like terms again)

5k^2-7k-4

hope this helps (^_^)

The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.

A number is simplified when it is rounded off, preserving its value while moving it closer to the next number. It is done for whole numbers as well as decimals at various places of hundreds, tens, tenths, etc.

If the number following the decimal is between 0 and 4, a number may be rounded off to its lowest value. If the number after it is between 5 and 9, the number will be rounded off to a greater value.

Annie rounds $ 280.05 to the nearest hundred

$ 280.05 will be equal to $ 300

Bobby rounds $ 280.05 to the nearest ten

$ 280.05 will be equal to = $ 280

Ciro rounds $ 280.05 to the nearest integer

$ 280.05 will be equal to = $ 280

Denise rounds $ 280.05 to the nearest tenth

$ 280.05 will be equal to = $ 280.1

Then, the sum of Annie's answer, Bobby's answer, Ciro's answer, and Denise's answer = $ 300 + $ 280 + $ 280  + $ 280.1 = $ 1140.1

Therefore,

The sum of Annie's, Bobby's, Ciro's, and Denise's answers is $ 1140.1.

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Answer:

238

Step-by-step explanation:

Answer:

Volume are over 120-177 because the layers are communicate each factors and angles..

Step-by-step explanation:

both 6 have 3 factors

A are for equation

5 centimeters are not allowed to communicate with other lessons and Numerator numbers...

HOPE IT HELPS!!

Over the course of the three hours, 41.25 gallons of water passed through the pipe in total.

We know that the rate of flow for the first hour was 50% slower than the rate of flow for the second hour. So, if the rate of flow in the second hour was 15 gallons per hour, the rate of flow in the first hour would be:

15 gallons/hour * (100% - 50%) = 15 gallons/hour * 50% = 7.5 gallons/hour

We also know that 25% more water flowed through the pipe in the third hour than in the second. So the rate of flow in the third hour would be:

15 gallons/hour * (1 + 25%) = 15 gallons/hour * 1.25 = 18.75 gallons/hour

To find the total number of gallons of water that flowed through the pipe during the entire three hours, we can multiply the rate of flow for each hour by the number of hours:

First hour: 7.5 gallons/hour * 1 hour = 7.5 gallons

Second hour: 15 gallons/hour * 1 hour = 15 gallons

Third hour: 18.75 gallons/hour * 1 hour = 18.75 gallons

Adding these values we can find the total amount of water that flowed through the pipe during the entire three hours

7.5 gallons + 15 gallons + 18.75 gallons = 41.25 gallons

So, in total 41.25 gallons of water flowed through the pipe during the entire three hours.

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Answer:

12" 15"

Step-by-step explanation:

Answer:

0.25 in/h

Step-by-step explanation:

1. change 2 3/4 t0 2.75

2. 2.75/11= 0.25

Answer:

a) B

b) C

Step-by-step explanation:

the statement that "you walk at a constant rate" tells us that the relationship is indeed proportional, namely, there's a value in the input that's consistent or common yielding the output.

Check the picture below.

to get the equation of any straight line, we simply need two points off of it, for the distance "from school" table, let's use those two points in that table

[tex](\stackrel{x_1}{10}~,~\stackrel{y_1}{0.5})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{1.5}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{1.5}-\stackrel{y1}{0.5}}}{\underset{\textit{\large run}} {\underset{x_2}{30}-\underset{x_1}{10}}}\implies \cfrac{1}{20}[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{0.5}=\stackrel{m}{\cfrac{1}{20}}(x-\stackrel{x_1}{10})\implies y-0.5=\cfrac{1}{20}x-\cfrac{1}{2} \\\\\\ y=\cfrac{1}{20}x-\cfrac{1}{2}+0.5\implies y=\cfrac{1}{20}x-\cfrac{1}{2}+\cfrac{1}{2}\implies \boxed{y=\cfrac{1}{20}x}[/tex]

a) To write an equation in slope-intercept form to represent the growth of the Magnolia trees over time, we can use the formula y = mx + b, where x represents the number of years, y represents the height of the tree in feet, m represents the slope (or rate of growth) of the tree, and b represents the y-intercept (or the height of the tree at x = 0).

In this case, the slope (m) of the tree is 3/4 feet per year and the y-intercept (b) is 3 feet, as the trees are initially 3 feet tall when they are purchased. Plugging these values into the formula gives us:

y = (3/4)x + 3

This equation represents the growth of the Magnolia trees over time.

b) The y-intercept of an equation in slope-intercept form represents the value of y when x is equal to 0. In this case, the y-intercept of the equation y = (3/4)x + 3 is 3 feet. This means that when x is equal to 0 (when no years have passed), the height of the tree is 3 feet.

c) To determine the height of the tree in 3 years, we can substitute 3 for x in the equation y = (3/4)x + 3 and solve for y. This gives us:

y = (3/4)(3) + 3

= 9/4 + 3

= 21/4

= 5.25 feet

Therefore, the height of the tree in 3 years is approximately 5.25 feet.

Answer:

The value of the 3 in the tenths place is 10 times the value in the hundredths place

Step-by-step explanation:

Ok

Answer:

Exact: A = (3.28 + 8π) cm²

Approximate: A = 57.13 cm²

Step-by-step explanation:

The right part of the red figure is a rectangle which is half of the square.

The left half of the red figure is a semicircle.

A = LW + ½πr²

A = (4 cm)(8 cm) + ½(π)(4 cm)²

A = (32 + 8π) cm² (exact)

A = 57.13 cm² (approximate)

Answer: Choice D

Step-by-step explanation: A dilation would result in a similar triangle because multiplying by the scale factor will create proportional sides. However, this will change the size of the triangle, making it not congruent.

Answer:

D.

Step-by-step explanation:

Congruent means that the triangles are exactly the same in shape and size.

Dilating the triangle is the only answer that will change its size.

The length of the actual statue in feet would be = 64.96 ft

A scale model is defined as the the exact type of an object but with a different measurement.

The scale model of a statue = 1 In = 11.2 ft

The length of the model = 5.8 inches

Therefore it length in feet = X ft

That is; 1 in = 11.2 ft

5.8 in = X ft

make X ft the subject of formula;

X ft = 5.8 × 11.2 = 64.96 ft

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There is a probable (>50%) that two people in a room with 23 people will share the same birthday.

Probable means likely to occur or prove true, or having more evidence for than against, or evidence that inclines the mind to belief but leaves some room for doubt, or affording ground for belief.

Even while it may appear odd that only 23 people are needed to achieve a 50% likelihood of a shared birthdate, this conclusion is made more logical by keeping in mind that birthday comparisons will be done between all potential pairs of people.

There is a 50% chance that two people in a room with 23 people will share the same birthday. Though it may seem strange, it is mathematically accurate.

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Answer:

dbhfjdbbfnfkdnnslskdkdlpxskndndmxlxnd

Step-by-step explanation:

dbndndkekdldpdkdelskndnflspdldnnenwoqpcnnspshkdhfbeodbsogbsobdjdbjwiwjbfjdongnfffdadw

Answer:

here you go

Step-by-step explanation:

8)10

9)3

10)increase

11) decrease

12)increase

13)constant

Answer:

3.141592658

Step-by-step explanation:

The dimensions of the flag are:

length = 19 feet and width = 10 feet

Let 'l' be the length of the flag and 'w' be the width of the flag.

The length of the flag is 9 feet longer than the width.

So, we get an equation

l = 9 + w                ............(1)

The flag has a perimeter of 58 feet.

We know that the formula for the perimeter of rectangle:

P = 2(l + w)             ..............(2)

Here, P = 58 feet

Substitute the value of P in equation (2)

58 = 2(l + w)                

29 = (9 + w) + w                      ..........(from (1))

29 - 9 = 2w

2w = 20

w = 10

Substitute this value in equation (1),

l = 9 + 10

l = 19 feet

Therefore, length = 19 ft and width = 10 ft

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Pi = 3.14

Diameter (d) = 86 cm

•°• Radius (r) = 86 ÷ 2 = 43 cm (radius is 1/2 of diameter)

Area of the circle = ?

Formula,

[tex]\pi( {r})^{2} [/tex]

Substitute the value of 'r' & pi in the formula.

[tex]\pi(43) {}^{2} \\ = 3.14 \times 43 {}^{2} \\ = 3.14 \times 1849 \\ = 5805.86 \: \: cm {}^{2} [/tex]

⎆ The area of the circle is about 5805.86 cm² (approx.)

1

To find an unknown number we can use properties of equality.

Algebraic Method

Another word to describe an unknown number is "variable". For the equation, I will call this variable x. Any variable can be used, but x is the most common.

We can write an equation to describe the situation. The statement says that the product of 15 and x is 15. This means that 15 * x = 15. Now we can use algebra to solve this equation.

To find x, divide both sides by 15.

Identity Property of Multiplication

Additionally, if you know all the properties of equality, you can answer this question without doing any math. One of the properties of equality is the identity property of multiplication. The identity property states:

This means that any number multiplied by 1 is itself. So, since the factor and product are equal, the other factor must be 1. If you plug 15 in for a, you can see how this property applies to this situation.

Answer:

uhhh ima guess 1/2

Step-by-step explanation:

because 6-5 is 1 and 1 is 1/2 in fractions ig

The question is incomplete. The complete question is :

A sphere and a cylinder have the same radius and height. The volume of the cylinder is 54 meters cubed. Amie found the volume of the sphere. A sphere with height h and radius r. A cylinder with height h and radius r. Her work is shown below. V = two-thirds + 54. V = two-thirds + StartFraction 162 Over 3 EndFraction. V = StartFraction 164 Over 3 EndFraction meter cubed. What is Amie's error?

Solution :

Amie should have multiplied 54 by two-thirds.

Given that sphere and the cylinder have the same radius as well as same height. The volume of the cylinder is 54 inch cube.

Volume of the sphere = [tex]$\frac{4}{3}\pi r^3$[/tex]      .......... (i)

Volume of cylinder = [tex]$\pi r^2h$[/tex]   ....................(ii)

Therefore, the ratio of sphere volume to cylinder volume is,

[tex]$\frac{4}{3}\pi r^3 : \pi r^2 h$[/tex]   ......(iii)

Divide both the sides by [tex]$\pi r^2$[/tex] , we get

[tex]$\frac{4}{3} \ r : h$[/tex]          ..........(iv)

We know that the height of the sphere = diameter of the sphere

The diameter of the sphere is D = 2r

Also the sphere height = cylinder height

So, the height of the cylinder = 2r

Therefore, substituting the height of the cylinder as 2r that is represented as h in equation (iv) is given by :

[tex]$\frac{4}{3} \ r : 2r$[/tex]        .............(v)

Now dividing both the sides by 2r, we get

[tex]$\frac{2}{3} : 1$[/tex]   ..................(vi)

Thus for equation (vi), we see, sphere volume = [tex]$\frac{2}{3}$[/tex]  of the cylinder volume

∴  sphere volume = [tex]$\frac{2}{3}\times 54$[/tex]

                              = 36 meter cube

Thus, Amie should have multiplied 54 by [tex]$2/3$[/tex] .  

Answer:

[tex]speed = \frac{distance}{time} \\ speed = \frac{150}{3} \\ = 50 \: miles \: per \: hour[/tex]

On solving the provided question, we can say that  - he need 56  answers he need to get correct if he want a grade of 80 percent on a test with 70 questions

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. It has no measuring systems. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) * 100%.

Assuming that all of the questions are equally weighted, 56 is equal to 80% of 70. (.80)(70)=56 Therefore, 56 out of 70 is the lowest number you may get correct, or 80%.

So, the maximum number of questions you may omit is 14. As an alternative, if you desire 80% accuracy, you can have no more than 20% errors.

20% of 70

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