Answer:
y = 4/3x + 1.
Step-by-step explanation:
The equation of the lines passing through (2,1) and (6,7) is:
y - 7 = (7-1)/(6- -2)(x - 6)
y - 7 = 6/8(x - 6)
y = 3/4(x - 6) + 7
y = 3/4x + 5/2.
So the line perpendicular to it has slope -1/3/4 = -4/3:
y - 9 = -4/3(x + 6)
y = -4/3 x - 8 + 9
y = 4/3x + 1.
Current rules for telephone area codes allow the use of digits 2-9 for the first digit, and 0-9 for the second and third digits, but the last two digits cannot both be 1 (to avoid confusion with area codes such as 911). How many different area codes are possible with these rules? That same rule applies to the exchange numbers, which are the three digits immediately preceding the last four digits of a phone number. Given both of those rules, how many 10-digit phone numbers are possible? Given that these rules apply to the United States and Canada and a few islands, are there enough possible phone numbers? (Assume that the combined population is about 400,000,000.)
Using the fundamental counting theorem, we have that:
648 different area codes are possible with this rule.There are 6,480,000,000 possible 10-digit phone numbers.The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.The fundamental counting principle states that if there are p ways to do a thing, and q ways to do another thing, and these two things are independent, there are ways to do both things.
For the area code:
8 options for the first digit.9 options for the second and third.Thus:
[tex]8 \times 9 \times 9 = 648[/tex]
648 different area codes are possible with this rule.
For the number of 10-digit phone numbers:
7 digits, each with 10 options.648 different area codes.Then
[tex]648 \times 10^7 = 6,480,000,000 [/tex]
There are 6,480,000,000 possible 10-digit phone numbers.
The amount of possible phone numbers is greater than 400,000,000, thus, there are enough possible phone numbers.
A similar problem is given at https://brainly.com/question/24067651
Answer: Number of possible area codes: 792
Amount of 10-digit phone numbers: 6,273,640,000
Step-by-step explanation:
This I my question any body help
Answer: table 2
Step-by-step explanation:
its because the rest of the tables do not have a pattern that ‘makes sense’ unlike table 2. for table 2, for every one 1 km there’s 10$
The highest common factor (HCF) of two numbers is 6.
The lowest common multiple (LCM) of the same numbers is 60
What are the two numbers?
Please explain every step
Answer:
12 and 30
Step-by-step explanation:
HCF = 6 = 2×3 means they both have in common a factor of 2 and a factor of 3, but at least one of the numbers has no more than one of each of these factors.LCM= 60=2²×3×5 means That the combined product of their factors counting only once the ones they have in common is 60.so they could be 2×2×3 = 12 and 2×3×5 = 30
Please help asap! Correct answer gets brainliest
Answer:
4
Step-by-step explanation:
She blocked 15 shots and missed 4
So divide 15 by 4. The Answer is 3.75, which is nearly 4.
4 times 4 is 16.
I NEED HELP FAST PLEASE!!!!!!!!!!!!
Smith was the top scorer in a women's professional basketball league for the 2006 regular season, with a total of 850 points. The number of two-point field goals that Lindsey made was 57 less than double the number of three-point field goals she made. The number of free throws (each worth one point) she made was 41 less than the number of two-point field goals she made. Find how many free throws, two-point field goals, and three-point field goals Lindsey Smith made during the 2006 regular season.
Answer:
the answer of this question is 4000
Step-by-step explanation:
it's because if u add it up you will get the answer hope this helps
A truss or staircase frame from the custom steel products cost $2.25 for each rod plus $50for shipping and handling
The equation that can be used to represent the cost paid for the staircase frame is 50 + 2.25x
Based on the information given, let the number of rods be represented by x.
Fixed cost = $50
Variable cost = $2.25 × x = 2.25x
Therefore, the equation to calculate the total cost will be:
= Fixed cost + Variable cost
= 50 + 2.25x
Therefore, the equation to represent the fact that the staircase frame cost $2.25 for each rod plus $50 for shipping and handling is 50 + 2.25x
Read related link on:
https://brainly.com/question/25219532
An image can translate horizontally and vertically at the same time.
O True
O False
Answer:
False
Step-by-step explanation:
I think this is correct.
Answer:
True
Step-by-step explanation:
Diagonal is the process of moving an image along not only the x-axis but also along the y-axis at the same time.
which is bigger 0.8253 or 0.82?
will give brainliest!!!
Answer:
0.8253
Step-by-step explanation:
because there are numbers after, 0.8253 is bigger. 0.82 doesn't have any numbers after to make it slightly bigger.
1. 5 + x = -2
2. 8m = 48
Solve this problems giving brainliest
Answer: 1. x=-7 2. m=6
Step-by-step explanation:
1. 5 + x=-2
to get the x by itself, you need to subtract 5 from both sides
5-5 +x = -2-5
there for 0 + x = -7 which means x=-7
2. to get 8m to just m, you need to divide 8m by 8. and what you do to one side of the equation, you need to do to the other. therefore 8m/8=48/8 and 48/8=6. therefore m=6
Answer:
1. 5+x=-2
x=-2-5
x= -7
2. 8m=48
m= 48/8
m= 6
Please Mark BRAINLIEST as promised!
Is this graph a function?
1. This is a function.
2. This is not a function.
3. This cannot be determined from this graph.
Answer:
this is a function
Step-by-step explanation:
the larger of two numbers is nine more then four times the smaller number the sum of the two numbers is sixty-nine find the tow numbers
Answer:
i do not know
Step-by-step explanation:
Jamel plans to take a cruise that leaves out of New Orleans and needs to rent a car to see the sights as well as travel to and from the airport. The cost of renting a car is S50 plus $0.75 per mile for every mile over 40 miles driven. If Jamel's total cost for renting the car is $122.75, use the composition of functions to find how many miles Jamel drove the car on his vacation?
MAY SOMEONE PLZ HELP ME ON THESE :(((
Answer:
12) Domain: (-4, 1] Range: [-4, 0]
13) Domain: (-infinity, 1] Range: [0, infinity)
Function decreases from x = negative infinity to 0. (I'm assuming this is what the question is asking for!)
Minimum of y = 0 at x = 0
Solve.
Ms. Holmstrom set up a math problem to find out how much money her class spends for lunches at the cafeteria for over a 2-day period. On Monday, 14 students bought lunches in the cafeteria, and 16 students bought lunches on Thursday. If lunches cost $2.50 each, how much money has Ms. Holmstrom's class spent?
Answer:
They have spent $75
16+14 = 30
30 x 2.50 = 75
Step-by-step explanation:
Find the slope of the line that passes through the following points: 5,10.5 25,12.5
the slope is 1/10
y2 - y1 / x2 - x1
Abdul drove 250 miles using 9 gallons of gas. At this rate, how many gallons of gas would he need to drive 275 miles?
Answer:
9.9 gallons
Step-by-step explanation:
250 mi/9 gas = 27.7777 miles per gallon of gas
275 mi/ (27.77 mi/gal) = 9.9 gallons
solve the inequality. 1/4w ≥ 4
Answer:
16
Step-by-step explanation:
You are making a scale model of a sports field. The
actual field is a rectangle with a length of 315 ft and a
width of 300 ft. Your scale model is 15 in. wide. What is
its length in inches?
Answer:
15.75 inches
Step-by-step explanation:
You can use a ratio to find your answer by cross multiplying.
300 ft 315 ft
---------- = ----------
15 in x in
Cross multiplying would give you:
300x = 15 x 315
300x = 4725
x = 4725 / 300
x = 15.75 inches
Ethan, Caleb, and Jayden went to a bakery to buy desserts. Ethan bought 2 cupcakes, 2
brownies and a pie for $20. Caleb bought 4 cupcakes, 4 brownies and a pie for $44, Jayden
bought 5 cupcakes and 6 brownies for $40. Write a system of equations to represent is
situation. Convert the system to a matrix and find the cost of 1 cupcake, 1 brownie, and 1
pie to the nearest cent.
Answer:
x = 32
y = -20 and
z = -4
Step-by-step explanation:
Cupcakes = X
Brownies = Y
Pies = Z
Ethan = 2x+2y+z = 20
Caleb = 4x+4y+z = 44
Jayden = 5x+6y = 40
-1(2x+2y+z=20) =
(-2x - 2y - z = -40) + (4x+4y+z=44)
= 5x + 6y = 40
-3(2x+2y=24 =
(-6 - 6y = -72) + (5x + 6y = 40)
= - x = - 32
= x = 32
5 (32) + 6y = 40
= 160 + 6y = 40
6y = 40 - 160
y = 120/6
y = - 20
2(32) + 2(-20) + z = 20
64 - 40 + z = 20
z = 20 - 24
z = -4
Find the measure of each missing angle
I’ll give BRAINLEST!!
Answer:
angle 4 = 115°[vertically opposite angles]
angle 2+ angle 4=180°[linear pair]
angle 2+ 115 = 180°
angle 2 = 180°-115°
angle 2=65°
angle1+angle2+80°=180°[sum of all angles is 180°]
angle1+65°+80°=180°
angle 1 + 140° = 180°
angle 1=180°-140°
angle1 =40°
angle2= angle5[vertically opposite angles]
angle7+angle5+61°+90°=360°[sum of all angles of quadrilateral is 360°]
angle7+ 65°+ 61° +90°=360°
angle7+ 211°=360°
angle7=360°-211°
angle7=149°
angle7+angle6=180°[linear equation]
149°+angle6=180°
angle6=180°-149°
angle6=31°
angle4+angle6+angle3= 180°[by sum of all angles is 180°]
115°+31+angle3=180°
146°+angle3=180°
angle3=180°-149°
anble3=41°
For BRAINILY please help I need to pass this class
Answer:
p= 40
Step-by-step explanation:
The sum of the angles of a triangle is 180 degrees
p+100+40 =180
p+140=180
p = 180-140
p= 40
Answer:
The answer is 40°. W and X are congruent to each other.
Define:
Congruent: Triangles that have both the same shape and the same size.
Straight line= 180degrees
Scalene triangle: A triangle that has no equal sides.
Isosceles Triangle: a triangle that has two sides the same length.
Equilateral triangle: A triangles all three sides are congruent.
Hope this helps!
1. The ratio of red marbles to blue marbles
in a bag is 2 to 5. If there are 60 more
blue marbles than red marbles in the
bag, how many marbles are there all
together?
Answer:
84
Step-by-step explanation:
Cross multiply to solve for the red marbles
Let x = the number of red marbles
2/5 = x/60
Cross multiply
2(60)/5 = x
x = 24 which is the number of red marbles.
60 blue plus 24 red = 84 total marbles.
please give the answers, thank you! :D
Answer:
1.
a. False
2.
a.True
Step-by-step explanation:
Emily made fruit punch for a party. She used 2/6 of a cup of grape juice. 3/6 of a cup of strawberry juice. and 4/6 of a cup of pop. How much fruit punch did she make?
Answer:
She made 1 1/2 cup of fruit punch.
Step-by-step explanation:
2/6 + 3/6 + 4/6 = 9/6
= 1 3/6 = 1 1/2
I want need help because I’m having trouble on this question Evaluate: 2-4 =
What graph shows a proportional relationship between x and y?
Answer:
second graph
Step-by-step explanation:
the line running at same rate
Solve for the value of v.
(56+6)
(40+3)
Answer:
2666 if you multiply the sum of the parenthesis
but if you add them then the answer is 105
Step-by-step explanation:
56+6=62
40+3=43
62•43= 2666
which expression is not equavilent to 50x+20?
Answer:
First choice 4(15x + 5)
Step-by-step explanation:
Let's check them all (We checked 2)
1)
4(15x + 5)
->
60x + 5
1 does not equal 50x + 20
2)
2(25x + 10)
->
50x + 20
2 does equal 50x + 20
Help ASAP giving brainliest
Answer:
X >= 1
Step-by-step explanation:
Answer:
x>=1
Step-by-step explanation:
I will give you a simple definition for Closed and Open number lines.
Closed circles in this number line mean INCLUDING 1 and everything greater so X>=1, or row 2 column 1.
Find the coordinates of Cafter a 90° clockwise rotation
around the origin.
(0, -6)
6
(-6,0)
0
(-6, -6)
(6, 6)
Answer:
(0,-6)
Step-by-step explanation:here the answer