Main
ASSE
The highway loop around a major city can be modeled by a circle with a circumference of 53 miles. The
distance across the city represents the diameter of the circle. Which distance is closest to the distance
across the city?
A. 106 miles
B. 53 miles
C. 27 miles
D. 17 miles

Answers

Answer 1

Answer:

[tex]D = 17\ miles[/tex]

Step-by-step explanation:

Given

[tex]Circumference\ (C) = 53\ miles[/tex]

Required

Determine the diameter (D)

In terms of diameter, circumference is calculated as thus:

[tex]C = \pi D[/tex]

Take [tex]\pi[/tex] as 3.14 and substitute 53 for C

[tex]53 = 3.14 * D[/tex]

Make D the subject

[tex]D = \frac{53}{3.14}[/tex]

[tex]D = 17\ miles[/tex] --- Approximated

Hence,

Option D answers the question


Related Questions

Find the value of x.
120

Answers

Answer:

46 degrees

Step-by-step explanation:

if you look at it closely u can see that the 120 degrees is reflected to the opposite side so if the 120 degrees is reflected then the 46 degrees would be reflected too

50 is 20% of what ? Round to the nearest tenth is needed

Answers

Answer:

250

Step-by-step explanation:

20% of 250 is 50. 100% of 250 is 250, therefore 20 percent of 250 equals 50.

More simplified explanation: The question is asking if 50 is 20% of a number, what is the number? So we know that 20% is 1/5 of 100%; if we know that 50 is 20% of something, then we would multiply 50 by 5 to get the answer. We would have to multiply 50 by 5 because if 50 is 20% of a number that would mean that 50 is 1/5 of the number we need to find, so to find the number, you to multiply 50 by 5.

Hope this helps!

Solve 3x - 1 = 10
A. 3
B. 3/11
C. 11/3

Answers

Answer:

the answer is c

Step-by-step explanation:

you add 1 to both sides

3x=11

then divide by 3

so x=11/3

Answer:

11/3 is the answer to this questio

The first box is either positive or negative and the second ambos is either odd or even pls help me tho

Answers

Answer:first is negative and positive im sure of it if i get im sorry tried my best

Step-by-step explanation:

Answer:

Positive, Even

Step-by-step explanation:

[tex]---------------------------------[/tex]

[tex]Here's[/tex] [tex]how[/tex] [tex]we[/tex] [tex]solve[/tex] [tex]it[/tex]

[tex]-2.5\cdot\frac{-3}{5}[/tex] = [tex]1.5[/tex] [tex]or[/tex] [tex]\frac{3}{2}[/tex]

[tex]1.5\cdot50[/tex] = [tex]75[/tex]

[tex]75\cdot\frac{1}{-4}[/tex] = [tex]-18.75[/tex] [tex]or[/tex] [tex]-\frac{75}{4}[/tex]

[tex]-18.75\cdot1.6[/tex] = [tex]-30[/tex]

[tex]-30\cdot-2[/tex] = [tex]60[/tex]

[tex]---------------------------------[/tex]

[tex]Here's[/tex] [tex]the[/tex] [tex]answer.[/tex]

[tex]-2.5\cdot\frac{-3}{5}\cdot50\cdot\frac{1}{-4}\cdot1.6\cdot-2[/tex] = [tex]60[/tex]

[tex]60[/tex] [tex]is[/tex] [tex]positive[/tex] [tex]and[/tex] [tex]is[/tex] [tex]an[/tex] [tex]even[/tex] [tex]number.[/tex]

[tex]---------------------------------[/tex]

Hope this helps! <3

Consider w=sqrrt2/2(cos(225°) + isin(225°)) and z = 1(cos(60°) + isin(60°)). What is w+ z expressed in rectangular form?

Answers

Answer:

Option (3)

Step-by-step explanation:

w = [tex]\frac{\sqrt{2}}{2}[\text{cos}(225) + i\text{sin}(225)][/tex]

Since, cos(225) = cos(180 + 45)

                          = -cos(45) [Since, cos(180 + θ) = -cosθ]

                          = -[tex]\frac{\sqrt{2}}{2}[/tex]

sin(225) = sin(180 + 45)

             = -sin(45)

             = -[tex]\frac{\sqrt{2}}{2}[/tex]

Therefore, w = [tex]\frac{\sqrt{2}}{2}[-\frac{\sqrt{2}}{2}+i(-\frac{\sqrt{2}}{2})][/tex]

                      = [tex]-\frac{2}{4}(1+i)[/tex]

                      = [tex]-\frac{1}{2}(1+i)[/tex]

z = 1[cos(60) + i(sin(60)]

  = [tex][\frac{1}{2}+i(\frac{\sqrt{3}}{2})[/tex]

  = [tex]\frac{1}{2}(1+i\sqrt{3})[/tex]

Now (w + z) = [tex]-\frac{1}{2}(1+i)+\frac{1}{2}(1+i\sqrt{3})[/tex]

                   = [tex]-\frac{1}{2}-\frac{i}{2}+\frac{1}{2}+i\frac{\sqrt{3}}{2}[/tex]

                   = [tex]\frac{(i\sqrt{3}-i)}{2}[/tex]

                   = [tex]\frac{(\sqrt{3}-1)i}{2}[/tex]

Therefore, Option (3) will be the correct option.

2^3x X 2^2x = 2^8 Help me out ​

Answers

Answer:

[tex]\frac{8}{5}[/tex]  or 1.6

Step-by-step explanation:

If this is the equation then the answer should be correct.

[tex]2^{3x}[/tex] x [tex]2^{2x}[/tex] = [tex]2^{8}[/tex]

If the equation y=3x−1 y = 3 x − 1 were graphed on the xy-coordinate plane, which of the following would not be a point on that graph?

Answers

Answer:

See Explanation

Step-by-step explanation:

This question requires options.

Since, there are none, I'll answer on a general term.

For a coordinate point to be on the graph, the x and y value when substituted in the given equation must make the equation true.

Take for instance

(x,y) = (1,2)

This implies that

x = 1

y = 2

Substitute values of x and y in

y = 3x - 1

We have:

2 = 3 * 1 - 1

2 = 3 - 1

2 = 2

Notice that both sides of the equation are equal.

Hence

(1,2) lies on the xy coordinate plane.

However,

Take for instance (x,y) = (2,4)

This means

x = 2 and y = 4

Substitute values of x and y in

y = 3x - 1

4 = 3 * 2 - 1

4 = 6 - 1

4 ≠ 5

The above does not represent an equation because 4 is not equal to 5.

Hence, (2,4) does not lie on the coordinate plane

So, to answer your question, you need to substitute values of x and y in the given equation.

Which ever of the options that does not show equality answers your question.


Let g(x) = 9x + 24
find g(3)
Let g(x)=9x+24, find g(3).



Answers

Answer:

51

Step-by-step explanation:

Plug in 3 as x into the function:

g(x) = 9x + 24

g(3) = 9(3) + 24

g(3) = 27 + 24

g(3) = 51

Explanation:

g(x) = 9x + 24

g(3) = 9(3) + 24

g(3) = 27 + 24 = 51

Answer:

g(3) = 51

brain dead someone help ​

Answers

Answer:

cant see it

Step-by-step explanation:

can you flip it pls

Describe how to use the Vertical Line Test and what it can tell us.

Answers

Answer: To use the Vertical Line Test, you draw a line parallel to the y-axis for any value of x and if the line intersects the curve graphed, then the curve is not a function. We use Vertical Line Tests to see if curves are functions.

Answer:

rrr

Step-by-step rrexplanation:

rrr

PLEASE HELP IM TIMED:
Which scatterplot shows the weakest positive linear association?
On a graph, points are grouped closely together and increase.
On a graph, points are grouped closely together to form a line and increase.
On a graph, points are grouped closely together and decrease.
On a graph, points are grouped closely together to form a line and decrease.

Answers

Answer:

C

Step-by-step explanation:

Find the 18th term of the arithmetic sequence whose common difference is d = 2 and whose first term is a, = 3.

Answers

Answer:

The 18th term of the arithmetic sequence will be:

[tex]a_{18}=37[/tex]

Step-by-step explanation:

We know that the arithmetic sequence with a common difference 'd' and the first term 'a₁' is defined as

[tex]a_n=a_1+\left(n-1\right)d[/tex]

Given the values

d = 2

a₁ = 3

As we have to determine the 18th term of the arithmetic sequence.

so putting n = 18 in the nth term to determine the 18th term.

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]a_{18}=3+\left(18-1\right)2[/tex]

     [tex]=3+17\cdot \:2[/tex]

     [tex]=3+34[/tex]

     [tex]=37[/tex]

Therefore, the 18th term of the arithmetic sequence will be:

[tex]a_{18}=37[/tex]

Allison is making treat bags for Valentine's Day. She uses 7 sheets of stickers
and 3 bags of candy for every 8 friends. If Allison is making 14 treat bags, how
many sheets of stickers will she use? How many bags of candy?

Answers

16 sheets of stickers and 5.25 bags

The number of sheets of stickers is 12.25, and the number of bags of candy is 5.25 she will use.

What is the ratio?

It is defined as the comparison between two quantities that how many times the one number acquires the other number. The ratio can be presented in the fraction form or the sign: between the numbers.

Allison uses 7 sheets of stickers and 3 bags of candy for every 8 friends.

It means the ratio of the sticker to candy bags:

7:3   for 8 friends

[tex]\frac{7}{8} :\frac{3}{8}[/tex]  for 1 friend or

0.875:0.375

If she makes 14 treat bags then:

The number of sheets of stickers she will use = 0.875×14 ⇒ 12.25

The number of bags of candy she will use = 0.375×14 ⇒ 5.25

Thus, the number of sheets of stickers is 12.25, and the number of bags of candy is 5.25 she will use.

Learn more about the ratio here:

brainly.com/question/13419413

Pleaseee help !! I’ll give brainliest !

If mAD = 22 in., and mBD = 14 cm, mAB = ____ ? Cm .

Postulate used: ???

Answers

Answer: 8 in

Step-by-step explanation:

mAB= 8 inches because AB is the difference of AD and BD. The postulate I used for this is the Part Whole Postulate, or PWP.


3.a. Nikki buys 1 kg of oranges. She wants to choose the better discount. Which should she
choose and why should she choose it

Answers

Answer:

I'm pretty sure is the $0.40

What are two different ways you can represent a repeating decimal?

Answers

Answer:

A decimal number with a digit (or group of digits) that repeats forever. The part that repeats can also be shown by placing dots over the first and last digits of the repeating pattern, or by a line over the pattern. Also called a "Repeating Decimal"

Answer:

Putting a number that is repeating or put the a line on top .

Step-by-step explanation:

PLD HELP ME I WILL FAIL PLS​

Answers

Answer: 3 1/3

Step-by-step explanation: the answer is 9 3/4 but i simplified it. hope i could help:)

Kiran ate breakfast at a café. The total check was $5. Here is the money he left. Why did he pay $5.75?

Answers

Answer: Because of taxes i would think

Question 7 (1 point)
7x – 1 = 4x + 5
X=
PLEASE HELP IM GONNA FAIL

Answers

Answer:

x = 2

Step-by-step explanation:

7x - 1 = 4x + 5

-4x       -4x

move the variable to the other side

3x - 1 = 5

    +1   +1

move the negative 1

3x = 6

3     3

divide

x = 2

Población de alces. Se introducen cíen alces en una reserva zoológica, cada uno de un año de edad. El número N(t) de animales vivos después de t años se predice mediante N(t) = 100(0.9) t Estima el número de animales vivos después de:

Answers

Answer:

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

Step-by-step explanation:

Sabes que el número N(t) de animales vivos después de t años se predice mediante N(t) = 100*[tex]0.9^{t}[/tex]

Para estimar el número de animales vivos después de, por ejemplo, 1 año debes simplemente reemplazar el tiempo t por el tiempo correspondiente, en este caso 1 año:

N(1) = 100*[tex]0.9^{1}[/tex]

Resolviendo:

N(1) = 100*[tex]0.9^{1}[/tex]= 100*0.9= 90

De manera similar, podes estimar el número de animales vivos después de 5 y 10 años. Esto es, reemplazas t por 5 años:

N(5) = 100*[tex]0.9^{5}[/tex]= 100*0.59049= 59.049≅ 60

y t por 10 años:

N(10) = 100*[tex]0.9^{10}[/tex]= 100*0.3487= 34.86 ≅ 35

El número de animales vivos después de 1, 5 y 10 años es 90, 60 y 35 respectivamente.

The sixth-graders at Norma's school got to choose between a field trip to a museum and a field trip to a factory. 40% of the sixth-graders picked the museum. If there are 65 sixth-graders in all at Norma's school, how many sixth-graders went on the trip to the museum?

Answers

Answer:

26 students picked the museum.

Step-by-step explanation:

65x.40=26

i need help!!!!!!!!!​

Answers

Answer:

Opt B

Step-by-step explanation:

3/4 plus 1/8

4 goes into 8 two times

1/8 stays the same

for 3/4 multiply the numerator and denominator by 2

6/8

there are 28 pens in a full box. how many pens are in 35 full boxes

Answers

Answer:

980

Step-by-step explanation:

Multiply the number of pens in a box by the number of boxes.

A group of cubes are arranged in a pattern with the same number of cubes in each row and column. There are 225
cubes in the shape. How many cubes are in one row?
A)
15
B)
25
0
56
D)
75

Answers

Given:

Total number of cubes = 225

Cubes are arranged in a pattern with the same number of cubes in each row and column.

To find:

The number of cubes in a row.

Solution:

Let the number of cubes in a row be x.

Since, cubes are arranged in a pattern with the same number of cubes in each row and column, therefore number of cubes in rows and columns are equal.

[tex]\text{Total cubes}=x\times x[/tex]

[tex]\text{Total cubes}=x^2[/tex]

Total number of cubes = 225

[tex]x^2=225[/tex]

Taking square root on both sides.

[tex]x=\sqrt{225}[/tex]

[tex]x=15[/tex]

So, the number of cubes in a row is 15.

Therefore, the correct option is A.

WILL GIVE BRAINLIEST find the value of (-4,r), (-8,3), m=-5 (show your work pls)

Answers

Answer:

r = -17

Step-by-step explanation:

Slope = -5

Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex]\frac{3 - r}{-8-[-4]}=-5\\\\\frac{3-r}{-8+4}=-5\\\\\frac{3-r}{-4}=-5\\[/tex]

3-r = (-5)*(-4)

3 - r = 20

   -r = 20 - 3

  -r = 17

   r = -17

r=-17 the person above is right

Levi is playing a video game. The amount of points Levi earned in the first four rounds of the game is shown.

Round One: – 18
Round Two: 6
Round Three: – 5
Round Four: 4
What is the sum of the points Levi earned in all four rounds?

Answers

Answer:

-13

Step-by-step explanation:

6+4=10

-18+-5=-23

10+-23=-13

Answer:

the answer is -13

Step-by-step explanation:

HELPPPPP ASAP
This week Alison bought 96 bunches of carnations and 48 bunches of roses. Let the variable c represent the number of carnations in each bunch, and let the variable r represent the number of roses in each bunch. Write an expression to represent the total number of carnations and roses that Alison bought. Use your expression to determine the total number of carnations if there are 24 carnations in each bunch and the total number of roses if there are 12 roses in each bunch.

Answers

Answer:

r/c  

Step-by-step explanation:

96/48

or

24/12

a store is having a 20% off so on all
merchandise if made buys one item and saves $13 what was the original price of the purchase explain or show your reasonings

Answers

Answer:

If a store is having a 20% off sale

By buying an item you save 20% of the price

If Mai saves $13 on an item she is also saving 20%

$13 = 20% of the price

$65 = 100% of the original price

$65 is your answer!

Whats the value of 1111×111 in the binary form?

Answers

Answer:

01101001 value the decimal of this is 15×7/105

The binary form is 15x7/105.

PLEASE HELP As a part-time job, ethan makes deliveries for a caterer. In addition to his weekly salary, he is also paid 16$ Per delivery. Last week, he made 5 deliveries and his total salary was $215. Write a linear equation to find Ethan's total weekly salary S if he makes d deliveries.

Answers

you know he made 5 deliveries for $16 each.  5*16=80.  So to find his salary you have 215-80=$135.

So he makes $135 no matter what plus $16 times the number of deliveries.

so, S=16d+135

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