Answer: The distance between the ring and the coin = 15 units.
Step-by-step explanation:
Distance between two points (a,b) and (c,d) is given by :-
[tex]D=\sqrt{(c-a)^2+(d-b)^2}[/tex]
Location of rine = (-2,-6)
Location of the coin = (7,6)
Then, the distance between the ring and the coin [tex]=\sqrt{(6-(-6))^2+(7-(-2))^2}[/tex]
[tex]=\sqrt{(12)^2+(9)^2}\\\\=\sqrt{144+81}\\\\=\sqrt{225}=15[/tex]
Hence, the distance between the ring and the coin = 15 units.
A 7-meter roll of white paper costs $1.65. What is the unit price, rounded to the nearest cent?
Answer:
$0.24 per meter
Step-by-step explanation:
Alright so to find the unit rate divide 1.65 by 7
1.65/7=0.2357142857142857...
So round it to the nearest cent
0.24
Which expression is equivalent to (9x5y16/45x5y4)?
Answer:
the expression equal to this is 20 X /25 is the answer for the expression is 4 x/ 5
Step-by-step explanation:
Can anyone help me with this please
Please Solve so i can complete!!!!!!!! Quick Fasts
An item has an original price of $45, it is discounted 25%. What is the new price?
25% off $45 is $33.75
Please help and show work
Answer:
254.34 in²
Step-by-step explanation:
The diameter is 18, so the radius is 9. The formula for circumference is [tex]\pi r^{2}[/tex]. 9 squared is 81. 81 x 3.14 is 254.34.
Hope it helps!
29,30,32,35,39,\ Which is the next number in this pattern?
A) 42
B) 43
C) 44
D) 45
E) 46
Answer:
Step-by-step explanation:
It is a pattern of adding numbers like the first one is 29 add 1 = 30 add 2 = 32
Add 3 = 35 add 35 + 4 = 39 add 5 = 44
Option C 44 is the correct answer
Hola me podrían ayudar por favor. Convertir las fracciones a decimales y ubicar a los decimales en la recta numérica. a. 2/3 b. 8/5 c. -5/2 d. 7/4 e. 9/2 f. -11/3 g. 13/5 d. -7/4
Answer:
Step-by-step explanation:
a decimal
2/3 = 0.7
8/5 = 1.6
-5/2 = -2.5
7/4 = 1.8
9/2 = 4.5
-11/3 = -3.7
13/5 = 2.6
-7/4 = -1.8
Esto es solo un bosquejo del número, usando un gráfico, use 0.1 para una unidad en la recta numérica.
- ________________________________________________________ +
| | | | | | | | | | | | | | | | | | |
-5 -4 -3.7 -3 -2.5 -2 -1.8 -1 0 0.7 1 1.6 1.8 2 2.6 3 4 4.5 5
Which equation represents the line shown on the coordination grid below
Answer:
a
Step-by-step explanation:
mx+c
c is y intersect in this case -2
m is gradient, in this case its positive, therefore a
A bag contains only red, green, brown and yellow marbles. The probabilities of selecting each colour are shown below. Colour Red Green Brown Yellow Probability 0.2 0.3 x 0.1 Find the probability of selecting a brown marble.
Answer:
0.4
Step-by-step explanation:
Given that:
Probability of :
Red _____Green ___ Brown _____ Yellow
0.2 ______ 0.3 ______ X ________ 0.1
Since the bag contains only red, green, brown and yellow marbles ;
The sum of each color's probability should sum up to 1;
ΣP(x) = 1
Hence,
0.2 + 0.3 + x + 0.1 = 1
0.6 + x = 1
x = 1 - 0.6
x = 0.4
P(brown) = 0.4
a) What is the name of the line marked a?
b) What is the name of the line marked b?
c) What is the name of the line marked c?
d) What is the name of the line marked d?
Answer:
Step-by-step explanation:
raduis and diameter.
Solve the following system of equations.
18x+6y=3018x+6y=30
18x+22y=1418x+22y=14
Answer:
(2, -1)Step-by-step explanation:
Given system
18x+6y=30 18x+22y=14Solve by elimination, subtract the equations and solve for y:
18x + 6y - 18x - 22y = 30 - 14-16y = 16y = -1Find x by substituting y:
18x + 6(-1) = 3018x - 6 = 3018x = 36x = 36/18x = 2The answer is: (2, -1)
Five integers have a mean of 8. The
integers are 7, 3, 10, 13, X. Find the
value of x.
Which expression represents: the sum of the two products, 6 times y and 19 times n (6y)(19) (6 + 19) + n) Oby- 19n 6y + 19n
Answer:
Sooooooo simple, jus figure it out :)
The area of a rectangular field is 48m2 and one of its sides is 6m . How long will a lady take to cross the field diagonally at the rate of 20m/min
Answer:
It will take her approximately 28 seconds to cross the diagonal of the pitch
Step-by-step explanation:
If we can find the length of the diameter of the field (in Metres), we can easily find the time it takes her to cross this length using motion equations.
Step one: Find the length of the field from its area.
The field is rectangular in shape. The area of the field is 48m^2. To get the area of the field, we had to multiply its length and its breadth.
i.e area = length X breadth.
Let us assume that the breadth = 6m
its length will be area / breadth = 42/ 6 = 7m
The length of the pitch = 7 m
Step Two: Find the length of the diagonal using Pythagoras' theorem.
From Pythagoras'theorem, the length of the diagonal can be obtained by
[tex]diagonal = \sqrt{l^2 +b^2}[/tex]
[tex]diagonal = \sqrt{6^2+ 7^2} = 9.22m[/tex]
The length of the diagonal is 9.22m
Step three: Find the time using her speed and the distance she needs to cover.
Time = distance / speed
time = 9.22 /20 = 0.46 minutes
It will take her approximately 28 seconds to cross the diagonal of the pitch
Gabriel is at the grocery store, and wants to figure out his total cost before he gets to the register. He bought 2.5 pounds of apples that are x dollars a pound and 2 bags of lettuce for y dollars each. Gabriel remembers he has a coupon for $2 off his bill.
Gabriel has $30 to pay for the groceries. What simplified expression would represent the amount of change he should receive
Answer:
32 - 2.5x - 2y
Step-by-step explanation:
He bought 2.5 pounds weight of apples for x dollars a pound. Thus, cost is 2.5x.
He bought 2 bags of lettuce for y dollars each. Thus, cost is 2y
Total bill cost = 2.5x + 2y
We are told he has a coupon for $2 off his bill.
This means the amount he will pay will now be;
2.5x + 2y - 2
Gabriel has $30 to pay for the groceries.
Thus, his change will be;
30 - (2.5x + 2y - 2)
This gives;
32 - 2.5x - 2y
Answer:
D
Step-by-step explanation:
Rearrange to make subject x 4(x-3)/a=y
Answer:
answer is x = ay + 12/4
Step-by-step explanation:
first we cross multiply on both sides which will give us this
4( x -3)=ay
we then open the brackets by multiplying 4 with x and -3 which gives
4x - 12= ay
then take 12 to the other side
4x - 12+12= ay + 12
4x = ay + 12
divide 4 on both sides
4x /4= ay + 12/ 4
therefore x = ay + 12/ 4
clear steps in picture
hope that can help
2000:$5.00 2015:6.50 what is the change in the cost of the cheeseburger
HELP PLZ IM STUCK.
Find the equation of the line.
Use exact numbers.
y =
x+
Answer: y = x - 5 ( just add a negative at the end )
Step-by-step explanation:
( 5,0) ( 0,-5)
0 - -5
5 - 0
5/5 = 1
y = x + b
0 = 5 + b
-5 -5
-5 = b
y = X - 5
The height odf a regtangular pyramid is 4 inches. The base of the pyramid measures 9 inches by 9 inches. What is the volume of the rectagular pyramid in cubic inches?
Answer:
[tex]V=108\ \text{inches}^3[/tex]
Step-by-step explanation:
Given that,
The height of a rectangular pyramid is 4 inches
The base of the pyramid measures 9 inches by 9 inches.
We need to find the volume of the rectangular pyramid. The formula for the volume of the rectangular pyramid is given by :
[tex]V=\dfrac{lbh}{3}[/tex]
Substitute all the values,
[tex]V=\dfrac{4\times 9\times 9}{3}\\\\V=108\ \text{inches}^3[/tex]
So, the volume of the rectangular pyramid is [tex]108\ \text{inches}^3[/tex].
What is the coefficient of the second term of the trinomial? (In other words, what is B?)
(3x − 1)^2 = 9x^2 −Bx + 1
In the blank, write what B equals. Use only numbers - no letters or spaces.
Answer:
b = 6
Step-by-step explanation:
Let's solve for b.
(3x−1)2=9x2−bx+1
Step 1: Flip the equation.
−bx+9x2+1=9x2−6x+1
Step 2: Add -9x^2 to both sides.
−bx+9x2+1+−9x2=9x2−6x+1+−9x2
−bx+1=−6x+1
Step 3: Add -1 to both sides.
−bx+1+−1=−6x+1+−1
−bx=−6x
Step 4: Divide both sides by -x.
b = 6
Hope this helpss!!!
Please do number 13 for me
4x = 44
PLease help UNDEN
Answer:
x= 11
Step-by-step explanation:
3/4 (12x+8)=-13- (2x+3)
Answer: = − 2
Step-by-step explanation:
Plssss help meee I need help
Answer:
no
Step-by-step explanation:
[tex]29^{2} \neq 20^{2} + 26^{2}[/tex]
2/3 - 1/3 what the difference
Answer:
2/3 begins w a 2 and 1/3 begins w a 1. thats the difference.. hope this helped :)
Step-by-step explanation:
Answer:
.3333333
Step-by-step explanation:
because u have to math ight
Which expression is equivalent to 2x - 1/3(12x - 30)?
A. 2(x - 5)
B. -2(x + 5)
C. -2(x - 5)
D. 2(x + 5)
Answer:
C
Step-by-step explanation:
Calculator
Use the graph to tell whether the linear system has one solution, no solution, or infinitely man solutions.
evaluate -8y+x5 when x =2 and y= -3
Answer:
34
Step-by-step explanation:
This diagram illustrates an unfolded part of a greeting card,
What is its area ?