you can walk 1 1/2 miles in 1/2 hour. what is your average speed?

Answer:

y = 30°         { adjacent angles }

z = 90 - 30° = 60°     { right angle triangle - 90° }

x = 180° - 60° - 60° = 60°  { isosceles, triangle has two sides 60° }

Answer:

Step-by-step explanation:

1) 9 x 4 = 36

9 + 4 = 13

2) 9 x -4 = -36

9 + (-4) = 5

3) 4 x3 = 12

4+ 3 = 7

4) -4 x 3 = -12

-4 + 3 = -1

Answer:

x = 57

Step-by-step explanation:

180 degrees in a triangle

67 + 56 = 57

==================================================

Explanation:

The three angles of any triangle always add to 180

x+67+56 = 180

x+123 = 180

x+123-123 = 180-123 .... subtract 123 from both sides

x = 57

The missing angle is 57 degrees

-------------

Check:

x+67+56 = 57+67+56 = 180

Answer is confirmed.

Answer:

Hi there!

Your answer is:

slope: -13

y-int: 1

Step-by-step explanation:

The slope is the x coefficient, rise/run

In this case, its -13/1. Which means it has a slope of -13.

The y int is the constant term.

In this case, its 1. Which means it crosses the y axis at 1

Hope this helps

The system of equations given has a unique solution.To determine the number of solutions for the system of equations, we can analyze the coefficients and constants in each equation. The given system consists of two linear equations with two variables, x and y.

We can start by observing the coefficients of x in both equations: 6x and 12x. Since the coefficients are not equal, the lines represented by these equations are not parallel, indicating that they intersect at a single point.

Next, let's consider the coefficients of y: -y and -2y. Similar to the coefficients of x, they are not equal. Therefore, the lines are not parallel in the y-direction either.

Moreover, the constant terms in both equations, 8 and 16, are also different. Consequently, the lines do not coincide or overlap.

Based on these observations, we can conclude that the system of equations represents two lines that intersect at a single point. Therefore, the system has a unique solution.

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Answer:

Refer the attached graph.

Step-by-step explanation:

Given : Time (h) Distance (km) able displaying Time in hours in one column and Distance in kilometers in the other. The time column contains 1, 3, 6, and 9. The distance column contains 2, 6, 12, and 18.

To plot : The points on the coordinate plane.

Solution :

Time is independent variable so it is taken on x-axis.

Distance is taken on y-axis.

x    y  

1     2

3    6

6    12

9    18

When we plot these points in the coordinate plane, we get a linear equation.

The linear equation form is  

Refer the attached graph.

Step-by-step explanation:

Plot a point on the coordinate plane to represent each of the ratio values in the table shows me how to point the ratio values in the table

Answer: (0, 1), (-1, -3)

Given two equation's:

Solve them simultaneously:

\(\sf 2x^2 + 6x + 1 = -4x^2 + 1\)

\(\sf 2x^2 + 4x^2 = 1 - 1\)

\(\sf 6x^2 + 6x = 0\)

\(\sf 6x(x + 1) = 0\)

\(\sf 6x = 0, \ x + 1 = 0\)

\(\sf x = 0, \ x = -1\)

(a) When x = 0,     y = −4(0)² + 1 = 1

(b) When x = -1,    y = -4(-1)² + 1 = -3

Solution: (x, y) → (0, 1), (-1, -3)

Answer:

System of equations

\(\large \begin{cases}y=2x^2+6x+1\\y = -4x^2+1\end{cases}\)

To solve the given system of equations, use the substitution method:

\(\large\begin{aligned}2x^2+6x+1 & = -4x^2+1\\2x^2+6x+1+4x^2-1 & = 0\\6x^2+6x & = 0 \\6x(x+1) & = 0\\\implies x+1 & = 0 \implies x=-1\\\implies 6x & = 0 \implies x=0\end{aligned}\)

Therefore the x-values of the solutions are:

        \(\large \begin{aligned}x & =-1\\x & =0\end{aligned}\)

Substitute the found values of x into the second equation to find the y-values:

\(\large \begin{aligned}x & =-1 & \implies &-4(-1)^2+1 =-3 & \implies & (-1,-3)\\x & =0 & \implies & -4(0)^2+1 =1 & \implies & (0,1)\end{aligned}\)

Therefore, the solutions of the system of equations are:

(-1, -3) and (0, 1)

the probability that the diameter of a elected bearing is greater than 85 millimeter P(diameter > 85) = P(z > (85-81)/4) = P(z > 1) = 0.1587

The diameter of ball bearings is normally distributed, with a mean of 81 millimeters and a variance of 16.

To calculate the probability that a selected bearing has a diameter greater than 85 millimeters, we first calculate the z-score for 85 millimeters.

We subtract 81 from 85 to get 4, and divide by 4 to get 1 for the z-score.

We the look up the probability for a value of 1 in the z-table, which is 0.1587.

This is the probability that a selected bearing has a diameter greater than 85 millimeters, rounded to four decimal places.

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Answer:

Hello,

x=5

Step-by-step explanation:

\(Since\ \overrightarrow{AD}=\overrightarrow{BC}, ABCD\ is\ a\ parallelogramm\\\\12x+60=150-6x\\\\18x=90\\\\x=\frac{90}{18} \\\\\boxed{x=5}\\\)

First:

A. (First Option)

Second:

C. (Third option)

(Brainiest and thanks are appreciated)

Answer:

Question 3:

O (7 x 50) - (7 x 2) = 350 – 14 = 336

Question 3:

O (9 x 80) + (9 x 1) 729

Step-by-step explanation:

Distributive Property is used in algebraic expressions, to divide the equation, to make it easier to solve. For question 1,  since it was 20, you must subtract 8 from that answer, because 20 is 1 more than 19. For question 2, (2 x 9) + (2 x 3) would be the same thing as 2(9+3).

-kiniwih426

Answer:

x=45º

Step-by-step explanation:

f= 90º

if the adjacent sides are equal, the only degree x can be is 45º

the degrees of a triangle must add up to 180.

45+45+90= 180

Answer:

Te conozco y sé qué

Como Nuevo de fabrica el otro

Answer:

Step-by-step explanation:

the number that is 45% greater than 90 is :

\(90+90\times \frac{45}{100} = 90 + 40.5 = 130.5\)

Suppose driving speed (X) on I-215 measured by the police follows a Normal distribution with mean 70 and standard deviation 4, then P( X < 70 ) is 0.6915.

To find the probability P(X < 70), we need to standardize the random variable using the standard normal distribution formula.

z = (X - μ) / σ

Where,

μ = mean = 70,

σ = standard deviation = 4,

X = 70

Substitute the given values in the formula to get the value of z.

z = (70 - 70) / 4 = 0 / 4 = 0

Now, we need to find the probability of the standard normal random variable Z being less than 0, which is equal to 0.5 + 0.1915 = 0.6915

P(X < 70) = P(Z < 0) = 0.5 + 0.1915 = 0.6915

Therefore, the probability that driving speed (X) on I-215 measured by the police is less than 70 is 0.6915.

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Answer: Hence the ratio will be 2 : 30, and then divide both sides by 2 to get 1 : 15 as the ratio in its simplest terms.

Step-by-step explanation:

a) The x-coordinate of every point along this line is 7. b) Using the answer from part a), we can write down the equation of the line as x = 7. This means that the value of x is always 7 regardless of the y-coordinate.

Given the graph, we can observe that the line is vertical and passes through point (7,5) and (7,-4).

a) To find the x-coordinate of every point along the line, we notice that the line is vertical and parallel to the y-axis. Therefore, the x-coordinate remains constant and is equal to 7 for all points on the line.

b) Using the information from part a), we can write down the equation of the line. Since the x-coordinate is always 7, the equation of the line is x = 7. This equation indicates that the value of x is fixed at 7, regardless of the corresponding y-coordinate.

In summary, the x-coordinate of every point on the line is 7, and the equation of the line is x = 7.

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Answer:

3125 bacteria

Step-by-step explanation:

Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') =  (1/2)r(n) =  (1/2)(1/2)r(0) = (1/2)²r(0).

After n hours, r(n) = (1/2)ⁿr(0)

So when n = 4 hours and r(0) = 50,000, then

r(4) = (1/2)⁴r(0)

r(4) = (1/2)⁴ × 50,000

r(4) = (1/16) × 50,000

r(4) = 3125

So, after 4 hours, we have 3125 bacteria present.

Answer:

56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Step-by-step explanation:

1 meter = 3.28084ft

1 acre = 43,560 ft²

Therefore, using our unit conversion, the volume in S.I units of a reservoir containing 46 acre- ft of water is calculated as :

46 acre - ft × (1 meter/3.28084ft) × (43,560ft²/1 acre) × (1 meter/3.28084ft)²

= 2003760/35.314670112

= 56740.15908m³

Approximately to the nearest whole number, the volume of 46 acre-ft of reservoir = 56740m³

Answer:

either the top right or bottom left

Step-by-step explanation:

Hey there!

In order to find out which graph the equation is representing, we must first know what each part is and means

-3x: This is the slope of the line, meaning how much it moves by

Slope is always rise over run: -3/1

This means, it moves down 3 and to the right 1

2: This is the y-intercept of the line

The y-intercept of the line shows where the line intersects the y-axis

In this case, it is 2

With this information, we can tell that it is either the top right or bottom left

(*The image is a little blurry and unclear. All I know is that it is either top right or bottom left*)

~Sorry for the inconvenience~

Answer:

Step-by-step explanation:

$ 3750 = truck rental; $125 per ton of sugar transported

C is cost; S is number of tons transported

Equation relating C to S would be a linear equation like y = mx + b

C = 125S + $3750

This equation would be graphed in the first quadrant only

you would start with your y-intercept at (0, 3750)

As x increases by 1, your y increases by 125 yielding these points:

(1, 3875) (2, 4000) (3, 4125) etc.

This shows that for each increase by one ton of sugar, the cost goes up $125

1)Cost of 1 ton = $ 2000

Cost of 2 ton = $3500

Cost of 3 ton = $5000

$ 1500 increase for each of ton of sugar being transported.

2) (1 , 2000) ; (2 , 3500)

Slope =

= 1500

The runner's average speed in kilometers per hour is 24.257 km.

The total distance covered by the runner is 1 mile. The relation between kilometers and miles is given as 1 km = 0.62 mi. Converting 1 mile to km by using the given relation, we get-

Distance = 1 mile

 = 1 mile × [1 km/0.62 mile]

= 1.6129 km

The time taken to complete a 1-mile run is 3 minutes and 59.37 seconds. The relation between hours and minutes is given below.

1 hour = 60 minutes ……(1)

Converting 3 minutes to hours using equation (1), we get-

3 minutes = 3 minutes × [1 hour/60 minutes]

= 0.05 hours

The relation between hours and seconds is given below.

1 hour = 3600 second …….(2)

Converting 59.37 seconds to hours using equation (2), we get-

59.37 seconds = 59.37 seconds × [1 hour/3600 seconds]

= 0.016492 hours

Total time to cover 1 mile = (0.05 + 0.016491) hours = 0.066492 hours

The average speed of the runner is calculated by the following relation-

Average Speed = Distance (km)/time (hours)

= 1.6129 km/0.066492 hours

= 24.257 km/hour

Therefore, the average speed in kilometers per hour is 24.257km.

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Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

Answer:5/2/320=900

Step-by-step explanation:

Answer:

angle 2 =90 because it is a right angle

Answer:

C

Step-by-step explanation:

So we have the equation:

\(3x-7=x+3\)

Subtract x from both sides. The right cancels:

\((3x-7)-x=(x+3)-x\\2x-7=3\)

Add 7 to both sides. The left cancels;

\((2x-7)+7=(3)+7\\2x=10\)

Divide both sides by 2:

\((2x)/2=(10)/2\\x=5\)

So, our answer is C

Answer:

C) x = 5

Step-by-step explanation:

A) 3(-5) - 7 = (-5) + 3

   -15 - 7 = (-5) + 3

   -23 = (-5) + 3

   -23 = -2 (they do not equal the same so no)

B) 3(2) - 7 = (2) + 3

    6 - 7 = (2) + 3

    -1 = (2) + 3

    -1 = 5 (they do not equal the same so no)

C) 3(5) - 7 = (5) + 3

    15 - 7 = (5) +  3

    8 =  (5) + 3

    8 = 8 (they equal the same so yes)

D) 3(-2) - 7 = (-2) + 3

    -6 - 7 = (-2) + 3

    -13 = (-2) + 3

    -13 = 1 (they do not equal the same so no)

Answer:

x-intercept coordinates:  (9, 0)

y-intercept coordinates:  (0, 21)

Step-by-step explanation:

Put the equation in slope-intercept form, y = mx + b

3y = -7x + 63     divide both sides by 3

y = -7/3x + 21

y-intercept = b = 21

y-intercept coordinates:  (0, 21)

Find x intercept by setting y = 0 and solving for x:

0 = -7/3x + 21

7/3x = 21

x = 21(3/7) = 9

x-intercept coordinates:  (9, 0)

"I imagined that I bore my chalice safely through a throng of foes." contains a phrase that best expresses a connotative meaning for the word hope in Araby by James Joyce.

The phrase "bore my chalice safely through a throng of foes" implies a sense of triumph and victory in the face of adversity, which is associated with the connotative meaning of hope. The protagonist's use of this phrase reflects his sense of hope that he will be able to obtain the object of his desire (the girl he loves) despite the obstacles he faces.

Other phrases in the story, such as "dark muddy lanes," "blind end," and "musty halls," have a more negative connotation and do not convey the same sense of hope. Therefore, the phrase "bore my chalice safely through a throng of foes" stands out as the best expression of hope in the story.

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