Given: Elmwood St. and Oak Dr. are the same distance. All intersections are perpendicular.

Prove: Peach Tree Dr. is the same distance as Sycamore Ln.

Answer:

The solution of the equation 9x=7(x+2) is:

Option D) 7

Step-by-step explanation:

9x=7(x+2)

Eliminating the parentheses applying distributive property:

9x=7(x)+7(2)

Multiplying:

9x=7x+14

Grouping the x's on the left side of the equation: Subtracting 7x both sides of the equation:

9x-7x=7x+14-7x

Subtracting:

2x=14

Solving for x: Dividing both sides of the equation by 2:

2x/2=14/2

Dividing:

x=7

Solution: x=7 (option D)  

Answer:

Question 7: I am not very good at recursive rules, so I cannot figure it out, sorry.

Question 8: 1/3

Question 9 a: 75 = How much money per paycheck

Question 9 b: 300 = How much money he started with

Question 10 a: 0,328 = initial amount

Question 10 b: 1.013 = percent increase

Question 11-12: Please submit another picture/question with the full graph.

Step-by-step explanation:

Question 8:

To find the common ratio you take one term divided by one term: 3/1 = 3

Since it is getting smaller every time, fraction: 1/3, because 3 * 1/3 = 1.  1 * 1/3 = 1/3, and it continues in that pattern.

Question 9 a:

f(p) = 75p + 300

Since p = paychecks, 75 appears to be how much money he makes per paycheck.

Question 9 b:

Since you are adding 300 to his current makings, it appears that 300 is the amount of money he already has.

Question 10 a:

Since t = weeks after beginning, 1.013 appears to be the percent increase, and since original amount times percent increase equals total, 10,328 appears to be the initial amount.

Question 10 b:

Since t = weeks after beginning, you would times the percent increase in order to calculate the increase, therefore 1.013 is the percent increase.

Question 11-12: Please submit another picture/question with the full graph.

A. They are not similar because their corresponding angles are not congruent.

Their angles are not the same.

The 1st triangle is a scalene triangle (a triangle that has 3 unequal sides and angles)

The 2nd triangle is an isosceles triangle (a triangle that has 2 congruent/equal sides and 2 congruent angles)

Answer:

Step-by-step explanation:

15) Yes, it is a function.

16)

A f(-4)=2

B F(3)= something around -1.75

C f(-5)=0

D f(-2)=4

E f(0)=0

F) -2

17)2(2a+5)=4a+10

a(a+5)=a^2+5a

18) 1

Answer:

$89.25

Step-by-step explanation:

If one week is 29.75, then you can infer that each week separately would be the same amount. With this information, you can form this equation:

y = 29.75x

X would be the number of weeks while y would be the final amount based off the number of weeks.

If you substitute x with 3, then you should get the final answer of 89.25.

Hope this helps!

Answer:

I think it is A or B Hope this helps

Step-by-step explanation:

Answer:

The answer is C.Subtraction im a math teacher so if right mark brainliest

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

We need to find the median of:-

73 75 87 65 69 62 81 64 68 101 74 71 89 87

First, we need to arrange the numbers in ascending order as below:-

62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101

Since there are a total of 14 numbers, let's split it up into two halves (each of seven numbers)

62, 64, 65, 68, 69, 71, 73           |||             74, 75, 81, 87, 87, 89, 101

The median would be the mean of the two middle numbers i.e. the mean of 73 and 74

Median = [tex]\frac{73+74}{2}[/tex]

= [tex]\frac{147}{2}[/tex]

= 73.5

So, about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework

Answer:

Option b is the correct choice.

Step-by-step explanation:

We have been given a data set about minutes spent on doing homework the previous night by 14 seniors.

To find the median of data set, first of all we will arrange our data values from least to greatest order.  

62, 64, 65, 68, 69, 71, 73, 74, 75, 81, 87, 87, 89, 101.

Since our data set has an even number (14) of data points, therefore, median will be the average of middle two points, that is 7th and 8th term.

[tex]\text{Median}=\frac{\text{7th term + 8th term}}{2}[/tex]

[tex]\text{Median}=\frac{73+74}{2}[/tex]

[tex]\text{Median}=\frac{147}{2}[/tex]

[tex]\text{Median}=73.5[/tex]

Therefore, median of our given data set is 73.5.

Since median of a data set separates the higher half from the lower half of a data sample. So about half of the students spent less than 73.5 minutes doing homework and about half spent more than 73.5 minutes on homework.

Therefore, option b is the correct choice.

Answer:

D) (1,5)

Step-by-step explanation:

You have to substitute so...

(-1,0):

y = 3x + 2

0 = 3(-1) + 2

0 = -3 +2

0 = -1

(-1,0) is NOT a solution.

(0,3):

y= 3x + 2

3 = 3(0) + 2

3 = 0 +2

3 = 2

(0,3) is NOT a solution.

(1/3,1):

y = 3x + 2

1 = 3(1/3) + 2

1 = 1 + 2

1 = 3

(1/3,1) is NOT a solution.

(1,5):

y = 3x + 2

5 = 3(1) + 2

5 = 3 + 2

5 = 5

(1,5) IS a solution.

Answer: Choice C) 115 degrees

Focus on the parallel lines G and L, which are the top and bottom most horizontal lines. Notice that the transversal cut forms the alternate exterior angles 2 and 11. The angles are on the outside or exterior of the "train tracks" of the parallel lines. Also, they are on opposite sides of the transversal line. So that is how we can consider them to be alternate exterior angles.

Similar to alternate interior angles, alternate exterior angles are congruent if we have a transversal cutting a pair of parallel lines.

So in short, angle 2 and angle 11 are congruent. We are given angle 2 to be 115 degrees. Angle 11 is also 115 degrees.

Answer:

5

Step-by-step explanation:

The degree of a polynomial is found by identifying the term with the largest exponent. The degree of a term is found by adding all the exponents of the variables of that term.

For example: [tex]3x^{2} yx^{3}[/tex]

The degree of this term is found by adding all the exponents: 2+1+3=6

In the case of a polynomial, it meets the largest degree term

For example: [tex]2x^{2} y+5x^{2} y^{2} z-8x^{4}[/tex]

If we add the exponents of each term, we will have the term with the greatest degree :   5

The degree of the polynomial, [tex]x^5-4x+2[/tex] is 5.

The degree of a polynomial can be defined as the largest exponents on any of the variables of a polynomial of the largest sum of exponents, if any of it's term has multiple variables.

Thus: The largest exponent in [tex]x^5-4x+2[/tex] is 5.

Therefore, the degree of the polynomial, [tex]x^5-4x+2[/tex] is 5.

Learn more about degree of polynomial on:

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Answer:

This property would be the Associative property of addition.

Simplify the left side of the equation using the distributive property.

5(a+3) = 5*a + 5*3 = 5a + 15

Now the equation looks like this: 5a + 15 = 8a

Next we want to put all the variables on the same side.

In this case, the easiest way to do this is subtract 5a from both sides.

5a + 15 - 5a = 8a - 5a

15 = 3a

In order to isolate a, divide both sides by 3

15/3 = 3a/3

5 = a

check the picture below.

Answer:

(C) 12.5mm

Step-by-step explanation:

It is given that a pyramid having slant height AC is to be determined. From the given information, we get

AB=12mm, BC=3.5mm and we have to find out the value of AC.

Thus, using the Pythagoras theorem, we have

[tex](AC)^2=(AB)^2+(BC)^2[/tex]

Substituting the given values, we have

[tex](AC)^2=(12)^2+(3.5)^2[/tex]

[tex](AC)^2=144+12.25[/tex]

[tex](AC)^2=156.25[/tex]

[tex]AC={\sqrt{156.25}}[/tex]

[tex]AC=12.5mm[/tex]

Therefore, the value of the slant height is 12.5mm.

Hence, option C is correct.

Answer:

both 17 and 19 are right triangles because they both have a right angle

Step-by-step explanation:

Answer:

$14.64 per person

Step-by-step explanation:

If we are sharing the cost between 10 people, we divide the total cost by 10

$146.35 /10 = $14.635

We round to the nearest cent

$14.64

Each of the 10 people would need to pay $14.64 for the party cost of $146.35, rounded to the nearest cent.

To calculate how much each person would have to pay for the party cost of $146.35 shared by 10 people, you divide the total cost by the number of people.

Step-by-step calculation:

Therefore, each person would have to pay $14.64.

Answer: (D) 4

Step-by-step explanation:

Average rate of change means slope (m) from point a to point b.

when x = 5, y = -2  →  coordinate (5, -2)

when x = 7, y = 6  → coordinate (7, 6)

slope (m) = [tex]\dfrac{6-(-2)}{7-5} = \dfrac{8}{2}=4[/tex]

Answer:

A. you take 3 ft and divide it in fourths which is 9 inches.

B. side length is 9 inches and the equation is 3ft ÷ .25

Step-by-step explanation:

I explained it in the answer however I will say that a square is the same length all around so I chose to use 3ft instead of 4.5 because its easier but you cannot do this with rectangles.

Answer:

The correct answer is D.

Step-by-step explanation:

just multiply the original function by the factor 3.

Final answer:

Plotting the integer 850 and its opposite involves marking the points on a coordinate system. The point 850 is plotted 8.5 units to the right of the origin, and its opposite, -850, is plotted 8.5 units to the left, assuming a scale where each unit represents 100.

Explanation:

To plot an integer and its opposite, let's use the number 850 and its opposite, -850, as an example. A plot in mathematics typically refers to marking points on the coordinate system, which consists of two intersecting lines, usually perpendicular, called axes. The horizontal axis is known as the x-axis, and the vertical axis is the y-axis.

To plot the integer 850, you first need to establish a scale suitable for the values you intend to plot. In this example, if each unit on your plot represents 100, then the point representing 850 would be placed 8.5 units to the right of the origin (0,0). Conversely, to plot the opposite of 850, which is -850, you would move 8.5 units to the left of the origin.

In coordinate form, the point 850 can be represented as (850,0), and its opposite, -850, would be (-850,0). This illustration shows how to plot integers and their opposites on a simple two-dimensional graph.

Answer:

218 feet per minute

Step-by-step explanation:

To find this, first subtract the initial amount (20) from the depth he soon reaches (3290). This will leave you with the amount of 3270 which is the distance the pilot whale went.

To find the feet per minute, divide by new depth by 15 in order to get the final answer of 218 feet per minute.

Hope this helps!

Need more info:

Can you give me more info so I can help you better?

Answer:

n = -4

Step-by-step explanation:

2 - 1/2n = 3n + 16

First isolate n

2 - 16 = 3n + 1/2n

-14 = 3 1/2n

n = -4

Answer:

n=-4

Step-by-step explanation:

2-.5n=3n+16 REWRITTEN

2=3.5n+16    ADDITION PROPERTY OF EQUALITY

-14=3.5n       SUBTRACTION PROPERTY OF EQUALITY

n=-4              DIVISION PROPERTY OF EQUALITY

Answer:

425 mm

Step-by-step explanation:

The ratio of compound A to compound B is 5 is to 6.

So, we can say that the total ratio is of 11 parts (5+6=11).

If the chemist wants a total of 935 mm of the drug, then each of the 11 parts are worth:

[tex]\frac{935}{11}=85[/tex]

From the ratio, we know that Compound A is 5 parts. So:

[tex]85*5=425[/tex]

425 mm of Compound A is needed.

To make 935 milliliters of the drug using 5 milliliters of compound A for every 6 milliliters of compound B, approximately 429 milliliters of compound A would be needed. This was found by setting up and solving a proportion based on the given ratio.

This question refers to a ratio or proportion problem. Given that for every 5 milliliters of compound A you use 6 milliliters of compound B, we can set up a proportion to solve for the amount of compound A needed to make 935 milliliters of the drug.

First, establish the existing ratio. 5ml A is to 6ml B, or in other words, 5/6 = A/B. Having the amount of the entire drug, 935 ml, we can sum up the parts, which means A (the required amount of compound A in ml) plus B (the required amount of compound B in ml) should equal to 935 ml.

Substituting B as 6A/5 in the equation, we get A + 6A/5 = 935. Solving this equation gives A approximately equal to 429 ml. Thus, you would need approximately 429 milliliters of compound A to create 935 milliliters of the drug.

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[tex]42=2\cdot21=\boxed2\cdot3\cdot\boxed7\\\\56=2\cdot28=2\cdot2\cdot14=\boxed2\cdot2\cdot2\cdot\boxed7\\\\Answer:\ GCF(42,\ 56)=\boxed2\cdot\boxed7=14[/tex]

Answer:

40 yards

Step-by-step explanation:

8×5≈40

Answer: the answer is (A)

Step-by-step explanation:

[tex]|x|- 7 = 8\\\\|x|=15\\\\x=-15 \vee x=15[/tex]

Answer:

x = –15 or 15

Step-by-step explanation:

|x| – 7 = 8

We need to isolate the absolute value.

Add 7 to each side

|x| – 7+7 = 8+7

|x|  = 15  

Now to get rid of the absolute values, we take what is inside the absolute values and set it equal to the right hand side.  Remember we set it equal to the positive amount and the negative amount.

x=+15 and x=-15

Answer: 7.16cm

Step-by-step explanation:

R=C/2pi

R=45/pi2

R=45/2 = 22.5pi

The radius of a circle with a circumference of 45pi centimeters is 22.5 centimeters.

To find the radius of a circle with a circumference of 45pi centimeters, we can use the formula for circumference:

C = 2(pi)r

Given that the circumference is 45pi, we can substitute this value into the formula:

45pi = 2(pi)r

Now, we can solve for r:

r = 45/2 = 22.5 centimeters

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