Explanation:
Density = Mass/Volume
D = M/V
D = 500/10
D = 50 grams per cubic cm
Your teacher should have written cm^3, cc, or cubic cm instead of just "cm" to represent the volume. The abbreviation "cc" stands for "cubic cm" which you may hear a lot in hospital settings when it comes to medicine dosages.
Patrick is riding his bike on a rectangular path around his city. There is a rest area at each of the path's four corners. The city map shows the corners marked with coordinates of (–2, 2), (1, 2), (1, –2), and (–2, –2). Each unit represents 2.5 miles.
Question:
What is the perimeter of the path, in miles?
Answer:
35 miles
Step-by-step explanation:
Given
Let the corners be ABCD
[tex]A = (-2,2)[/tex]
[tex]B = (1,2)[/tex]
[tex]C = (1,-2)[/tex]
[tex]D = (-2,-2)[/tex]
First, we calculate the perimeter of the corners in units.
This is done by calculating the distance between the corners.
Distance is calculated as:
[tex]D = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2 }[/tex]
For AB:
[tex](x_1,y_1) = (-2,2)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]
[tex]D_1 = \sqrt{(1 - (-2))^2 +(2 - 2)^2 }[/tex]
[tex]D_1 = \sqrt{(1 +2)^2 +(0)^2 }[/tex]
[tex]D_1 = \sqrt{3^2}[/tex]
[tex]D_1 = 3[/tex]
For BC
[tex](x_1,y_1) = (1,2)[/tex]
[tex](x_2,y_2) = (1,-2)[/tex]
[tex]D_2 = \sqrt{(1 - 1)^2 +(-2 - 2)^2 }[/tex]
[tex]D_2 = \sqrt{(0)^2 +(-4)^2 }[/tex]
[tex]D_2 = \sqrt{16 }[/tex]
[tex]D_2 = 4[/tex]
For CD:
[tex](x_1,y_1) = (1,-2)[/tex]
[tex](x_2,y_2) = (-2,-2)[/tex]
[tex]D_3 = \sqrt{(-2 - 1)^2 +(-2 - (-2))^2 }[/tex]
[tex]D_3 = \sqrt{(-3)^2 +(-2 +2)^2 }[/tex]
[tex]D_3 = \sqrt{9 +0^2 }[/tex]
[tex]D_3 = \sqrt{9 }[/tex]
[tex]D_3 = 3[/tex]
For DA
[tex](x_1,y_1) = (-2,-2)[/tex]
[tex](x_2,y_2) = (-2,2)[/tex]
[tex]D_4 = \sqrt{(-2 - (-2))^2 +(2 - (-2))^2 }[/tex]
[tex]D_4 = \sqrt{(-2 +2)^2 +(2 +2))^2 }[/tex]
[tex]D_4 = \sqrt{0^2 +4^2 }[/tex]
[tex]D_4 = \sqrt{4^2 }[/tex]
[tex]D_4 = 4[/tex]
The perimeter P in units is:
[tex]P = D_1 + D_2 + D_3 + D_4[/tex]
[tex]P = 3+4+3+4[/tex]
[tex]P = 14[/tex]
Given that:
[tex]1\ units = 2.5\ miles[/tex]
Multiply both sides by 14
[tex]14 * 1\ units = 14 * 2.5\ miles[/tex]
[tex]14 \ units = 35\ miles[/tex]
Hence, the perimeter is 35 miles
Can somebody please help me? I will give brainliest!
Answer: -2.5f-16
Step-by-step explanation: Good luck! :D
Answer:
-2.5f-16 is your answer and you'll get it correct
Step-by-step explanation:
trust me :)
Determine the domain of the graph shown
A.0,8
B.0,24
C.0,20
D.0,10
E.0, 12
pls help me do these problems. I need them by today.
Answer:
see below
Step-by-step explanation:
Question 1: D
Question 2: A
Question 3: B
Question 4: B
Question 5: C
Question 6: D
Question 7: A
Question 8: D
What are the coordinates of A after a dilation of 2/3 centered at the origin? Question 11 options:
A' =(−3/4, −3/2)
A' = (4/3, 2/3)
A' = (2, 1)
A' =(2/3, 2/3)
Answer:
The image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
Step-by-step explanation:
Given
Point A (2, 1)We know that when an object is dilated by a scale factor, it gets reduced, stretched, or remains the same, depending upon the value of the scale factor.
If the scale factor > 1, the image is enlarged If the scale factor is between 0 and 1, it gets shrunk If the scale factor = 1, the object and the image are congruentRule to calculate the dilation by a scale factor 2/3 centered at the origin
P(x, y) → P'(2/3x, 2/3y)
Here, P'(2/3, 2/3y) is the image of P(x, y).
It means the coordinates of the image can be determined by multiplying the coordinates of the original point by 2/3.Thus,
A(2, 1) → A'(2/3(2), 2/3(1)) = A'(4/3, 2/3)
Therefore, the image of A(2, 1) after dilation by a scale factor of 2/3 will be: A'(4/3, 2/3) .
I need help with geometry.
Answer:
x=9
Step-by-step explanation:
AIA's are supplementary 15x+45=180
180-45=130
130/15 = 9
help bro
Identify the Terms:
3x + 5x + 12 – 3 + 2x
Answer:
dfadfadsadas
Step-by-step explanation:
What is 3 to the third power divided by 3 to negative 4th power
Answer:
Dividing negative exponents is almost the same as multiplying them, except you're doing the opposite: subtracting where you would have added and dividing where you would have multiplied. If the bases are the same, subtract the exponents. Remember to flip the exponent and make it positive, if needed.
Step-by-step explanation:
Ginger borrowed $550 to purchase software and a camera. The simple interest rate is 8% per year. How much will she save if she pays off the loan in two and a half years instead of three and half years?
Answer:
44$
Step-by-step explanation:
8% of (550 US$) =
44 US$
2+2
Help please i really need it
Answer: 4
Step-by-step explanation:
i need help finding z and y pls
Answer: i believe Z=115 and Y=30
Step-by-step explanation: again im sorry if its wrong. but im pretty sure theyre not.
Write a parallel lines and perpendicular lines in the given figure .
Answer:
parrallel lines : p and q, a and b,j and k | perpendicular lines : p and a, q and a, p and b, q and b
Step-by-step explanation:
Parallel lines are lines that can go on and on forever, and never meet !
Perpendicular lines are two lines meet at a 90° angle,, to form a right angle !
Ignore the answer choosing it was was a mistake, please help.
Answer:
d
Step-by-step explanation:
none of the others equal 0
process of elimination
A store advertises 15% off an item that regularly sells for $300
what is the price of the item?
For this problem, we're finding the percent of 300. To do that we:
1. Multiply 300 by 15.
300 x 15 = 4500
2. Divide 4500 by 100. (% = 100)
4500 / 100 = 45
Therefore, the unit price is 45. But we're not done. We need to subtract 45 by 300.
300 - 45 = 255
Now, our answer is 255 and the unit price is 45.
Let me know of any questions!
What is the slope of a line parallel to the line whose equation is x+2y=2
Step-by-step explanation:
Parallel lines have the same slope.
[tex]x + 2y = 2 \\ 2y = x - 2 \\ y = 0.5x - 1[/tex]
[tex]y = mx + b \\ m \: is \: the \: slope \: so \: te \: slope \: is \: \frac{1}{2} [/tex]
Pls help asp here are some points
Answer:
(the last one)
Step-by-step explanation:
Hi there!
This looks like a diagnostic. I had to take one last week and it was horrible!
Anyway, the numerator is the product of 5 and the sum of x and y, which can be written as 5(x+y)
The denominator is the product of negative 8 and x, which can be written as -8x.
I hope this helped!
-10(-1/2y+(-7/2)+7y=-25
Answer:
y = -5
Step-by-step explanation:
-10(-1/2y + (-7/2)) + 7y = -25
Let's first of all expand the bracket to get;
5y + 35 + 7y = -25
12y + 35 = -25
12y = -25 - 35
12y = -60
y = -60/12
y = -5
rewrite in simplest form (-4x+6y-)-(-9x-8y
Answer:
5x + 14y
Explanation:
−4x+6y−(−9x−8y)
Distribute the Negative Sign:
= −4x+6y+−1(−9x−8y)
= −4x+6y+−1(−9x)+−1(−8y)
= −4x+6y+9x+8y
Combine Like Terms:
= −4x+6y+9x+8y
= (−4x+9x)+(6y+8y)
= 5x + 14y
A customer buys 2 pairs of sneakers,1 pair of flip flops,and 1 pair of flats.The sales tax was $1.75.How much change did the customer receive form $30.00?
Answer:
drivers license do you like that song?
Step-by-step explanation
I got my driver's license last week
Just like we always talked about
'Cause you were so excited for me
To finally drive up to your house
But today I drove through the suburbs
Crying 'cause you weren't around
And you're probably with that blonde girl
Who always made me doubt
She's so much older than me
She's everything I'm insecure about
Yeah, today I drove through the suburbs
'Cause how could I ever love someone else?
And I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
And all my friends are tired
Of hearing how much I miss you but
I kinda feel sorry for them
'Cause they'll never know you the way that I do
Yeah, today I drove through the suburbs
And pictured I was driving home to you
And I know we weren't perfect but I've never felt this way for no one
Oh, and I just can't imagine how you could be so okay now that I'm gone
I guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Red lights
Stop signs
I still see your face
In the white cars
Front yards
Can't drive past the places
We used to
Go to
'Cause I still f- love you, babe
Sidewalks
We crossed
I still hear your voice
In the traffic
We're laughing
Over all the noise
God, I'm so blue
Know we're through
But I still f- love you, babe
I know we weren't perfect but I've never felt this way for no one
And I just can't imagine how you could be so okay now that I'm gone
Guess you didn't mean what you wrote in that song about me
'Cause you said forever now I drive alone past your street
Yeah, you said forever now I drive alone past your street
Answer:
b
Step-by-step explanation:
Add (-12x+6)+(4x-12)
Answer:
-8x - 6
Step-by-step explanation:
Combine like terms: combining -12x + 4x results in -8x, and combining 6 and -12 results in -6. Thus, we have
(-12x+6)+(4x-12) = -8x - 6
Item 1
Find the dimensions of the square.
Area = 441 cm²
Answer:
21 cm by 21 cm
Step-by-step explanation:
The formula for the area of a square is A = x^2, where x is the length of any one side of the square. Here,
441 cm² = x²
This actually has two roots: {√441, -√441), but since x must be positive here, to be a dimension of the square, we choose +√441, or +21.
The dimensions of the square are 21 cm by 21 cm.
A car travels at a speed of 55 kilometers per hour.Find the distance travelled by the car in 12 minutes and 30 seconds.Find the Answers in meters
Answer:
Step-by-step explanation:
(distance) d = (speed) s * t (time)
= 55km/h * 12.30m/s
= 11.275 km
= 11.275 * 1000
= 11275m
Can some one help me pleas
i need help with both please this is due in 10 minutes
Answer: the first one is a function. the second one is not.
A circle has a radius of 5 inches. What is the circumference of the circle? Use 3.14 for pi.
Answer:
C≈31.42in
Step-by-step explanation:
Answer:
The circumference of a circle is given by
C = 2 * pi *r
C = 2 * 3.14 * 5
C =31.4 inches
A. According to the graph, are John and Collin saving or spending money?
a.Saving
b.Spending
c.Idunno
B. How much money did each person start with?
a.John 60, Collin 80
b.John 80, Collin 60
c.John 4, Collin 6
d.Collin 6, John 4
C. How many days does it take John to spend all his money?
D. How many days does it take Collin to spend all his money?
E. Find the solution to the above system (answer is on ordered pair):
F. At what day does John and Collin have the same amount of money? Day
G. On the day they they have the same amount of money, how much do they each have? _____ dollars
A store is having a going-out-of-business sale. A television set that originally cost $2,000 has been marked down by 25%. What do you pay for the television set w
Answer:
$1500
Step-by-step explanation:
If the television is marked down by 25%, it means that the price was reduced by 25%. This means that the television would be 100% - 25% = 75% of the original price.
The price of the television following the mark down=
0.75 x $2,000 = $1500
15 is 30% of what number
Answer:
15 is 30% of 100 I believe
Answer:
50
Step-by-step explanation:
Hope this answer your question.
A line passes through the point ( -10, 4) and has a slope of 1/2
Write an equation in point slope form for this line,
Answer:
[tex]y-4=\frac{1}{2} (x+10)[/tex]
Step-by-step explanation:
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex] when the given point is [tex](x_1,y_1)[/tex] and the slope is [tex]m[/tex]
[tex]y-y_1=m(x-x_1)[/tex]
Plug in the point (-10,4)
[tex]y-4=m(x-(-10))[/tex]
Two negatives make a positive
[tex]y-4=m(x+10)[/tex]
Plug in the slope
[tex]y-4=\frac{1}{2} (x+10)[/tex]
I hope this helps!
Manny took a math test. The test started at 12:53 PM, and ended at 1:23 PM. how long did his test last?
Answer:
Step-by-step explanation:
the test lasted :
23 minutes+7= 30 min
12z;53 =7 min will be 1 pm