Answer:
[tex]x = 39\frac{1}{4}[/tex]
Step-by-step explanation:
Given
[tex]Total\ Distance = 124\ miles[/tex]
[tex]First\ hour = 45\frac{1}{2}[/tex]
Required
Determine the distance covered in the last hour
Since the distance in the last 2 hours are the same. Represent the distance in each of the remaining hours as x.
So:
[tex]First\ Hour + Second\ Hour + Third\ Hour = Total[/tex]
[tex]45\frac{1}{2} + x + x = 124[/tex]
[tex]45\frac{1}{2} + 2x = 124[/tex]
Collect Like Terms
[tex]2x = 124 - 45\frac{1}{2}[/tex]
[tex]2x = 124 - \frac{91}{2}[/tex]
Take LCK
[tex]2x = \frac{248-91}{2}[/tex]
[tex]2x = \frac{157}{2}[/tex]
Divide both sides by 2
[tex]x = \frac{157}{2} * \frac{1}{2}[/tex]
[tex]x = \frac{157}{4}[/tex]
[tex]x = 39\frac{1}{4}[/tex]
Hence, the distance in the third lap is: [tex]x = 39\frac{1}{4}[/tex]
3x – 2y = 0 4x + 2y = 14 solve by elimination
Answer:
(2, 3)
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityAlgebra I
Solving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
3x - 2y = 0
4x + 2y = 14
Step 2: Solve for x
Elimination
Combine equations: 7x = 14Divide 7 on both sides: x = 2Step 3: Solve for y
Define equation: 3x - 2y = 0Substitute in x: 3(2) - 2y = 0Multiply: 6 - 2y = 0Isolate y term: -2y = -6Isolate y: y = 3find the solution to the following system using subsitution or elimination y=2x-1 y=5x-7
Please help!!:
Given PQ with P(−2, 5) and Q(6, 2), find point R on PQ such that PRRQ=35. Justify your response.
A. R(a, b) can be found using a=−2+35(8) and b=5+35(−3) to get R(2.8, 3.2)
B. R(a, b) can be found using a=6+35(−8) and b=2+35(3) to get R(1.2, 3.8).
C. R(a, b) can be found using a=6+35(8) and b=2+35(−3) to get R(10.8, 0.2).
D. R(a, b) can be found using a=−2−35(8) and b=5−35(−3) to get R(−6.8, 6.8).
Answer:
B
Step-by-step explanation:
I just took test
please make me Brainliest
The cost of 2 kg of onions is ₹24. What will the cost of 12 kg of onions be?
Answer:
144 rupees
Step-by-step explanation:
2 kg= 24 rupees
2/2 kg= 24/2 rupees
1 kg= 12 rupees
1×12 kg= 12×12 rupees
12 kg= 144 rupees
What is the range of the function Rx) = 4x + 9, given the domain D = {-4, -2, 0, 2}?
A.
R= (-7, 1, 9, 17)
B.
R = {1, 7, 9, 17)
C.
R = (-17. -9,-1, 17)
D.
R= (-7, -1.9, 17)
Answer:
-7, 1, 9, 17
Step-by-step explanation:
F1=4*4+9=-16+9=-7F2=4*2+9=-8+9=1F3=4*0+9=0+9=9F4=4*2+9=8+9=17What is are Vikings please answer fast
Answer:
Vikings were the seafaring Norse people from southern Scandinavia who from the late 8th to late 11th centuries raided, pirated, traded and settled throughout parts of Europe, and explored westward to Iceland, Greenland, and Vinland.
Use area model to solve shereen arranges 229 books into 7 even piles .How many books did shereen put in each pile ?
Step-by-step explanation:
3 2
7 ⟌229
- 21
1 9
- 1 4
5
33 piles of books
I hope this helps!!!
A pair of congruent angles are described as follows: One angle measures nine more than six times a number, and the other angles described as being thirty less than nine times a number. What is the measure of the angles in degrees?
Answer:
87 degrees
Step-by-step explanation:
congruent means equal to set each expression equal to each other:
9 + 6n = 9n - 30
39 = 3n
n = 13
substitute 13 into each expression; make sure they are both equal
In 2010, there were 12.4 million citizens of a certain country diagnosed with diabetes. This number of cases represents an increase of about 396% over the number of cases in 1973. How many cases of diabetes were there in 1973?
Answer:
3,131,313
Step-by-step explanation:
Let X represent the number of cases with diabetes in 1973.
An increase of 396% in diabetes cases in 1973 would be;
12.4 million = 396/100 × X
12.4 million = 396X/100
Cross multiply
12.4 million × 100 = 396X
X = [(12.4 million × 100) / 396]
X = 3,131,313
Therefore, the number of diabetes cases in 1973 is 3,131,313 cases
The sum of m and 3m + 2 is 28. Find m.
Answer:
6.5
Step-by-step explanation:
28-2=26
26=4m
26/4=6.5
PLEASE HELP
Which graph represents the function f(x)=0.2x+3?
Answer:
top right, the one you currently have selected
How does graphing help you solve a system of linear equations?
Answer:
it helps by finding out how you got it
Step-by-step explanation:
What is the solution to the system of equations below?
y=-3/2x+6
y= 5x - 7
The sum of two consecutive odd integers is -56. What are the integers
Answer:
-27 and -29
Step-by-step explanation:
given m and n find the value of x
Step-by-step explanation:
5x-2 and 5x+2 are corresponding angles
They add up to 180 degrees
5x-2 + 5x + 2 = 180
10x = 180
x = 18
I hope this helps!!!
a basketball court measure 26m by 14 m find the perimeter of the court
Answer:
900 to perimeter
Step-by-step explanation:
Each time he read his book, Paul recorded the number of minutes he spent reading and the number of pages he read in that time. He graphed this information,
and decided that number of pages and time are related proportionally. Which graph is most likely the graph of his information? ( this is the answer choice A, b)
Answer:you did this in Mr.Dillard class right ? Cuz I’m looking for the answer too
Step-by-step explanation:
Answer:
I don't know
Step-by-step explanation: But if you know the answer that would be very helpful
PLZZZ HELP DUE IN 3 MIN Bus A and bus B leave the bus depot at 5pm bus A takes 30 minutes to complete it's route once.If both buses continue to repeat their route at what time will they be back at the bus depot together? Assume the buses have no breaks in between routes.Give your answer as a 12-hour clock time.
your answer is
2u8
lol
What is (6,2) rotation 270
Given:
The point is (6,2).
To find:
The image of given point after rotation of 270 degrees.
Solution:
Let the given point be P(6,2).
Rotation of 270 degrees means the figure is rotated 270 degrees counterclockwise about the origin. So, the rule of rotation is
[tex](x,y)\to (y,-x)[/tex]
Using this rule, we get
[tex]P(6,2)\to P'(2,-6)[/tex]
Therefore, the image of given point is (2,-6).
Find the area of the parallelogram.
Question 16 options:
*the top is 12*
A)
29 square units
B)
37.12 square units
C)
14.5 square units
D)
32 square units
PLEASE HELP
There is a red, orange, yellow, green, blue, and purple card placed in a box. (six total, one of each color). You are asked to randomly choose a card, replace it in the box, and choose another card. Find P(Yellow, then Blue).
Answer:
Step-by-step explanation:
P(yellow) = 1/6
P(Blue) = 1/6
The combination in that order is 1/6 * 1/6 = 1/36
Answer:
Yellow blue
Step-by-step explanation:
if 20 cookies cost 100 how much does 1 cookie cost
Step-by-step explanation:
[tex]\huge\bold\purple{ 5 \: dollar }[/tex]
Answer: 5
Explination: 100/20=5 or 20*5=100
The pie chart shows the information about the favourite ice cream flavour of each student in a school. There are 720 students at this school. Complete the table
30 points help me ASAP
Answer:
Functions: 2, 3, 6, 7, 9
Non-functions: 1, 4, 5, 8, 10
Answer:
2,3,6,7,9 and or, 1,4,5,8,10
Step-by-step explanation:
LOL CAN SM1 PLS HELP ME
5>-4 i think i cant seeeeeee it man
Answer:
x 4/5 - 3.5
Step-by-step explanation: I honestly dont know if this is right
Find the area of this semi-circle with radius,
r = 2cm.
Answer:
6.28Step-by-step explanation:
Hi thereto understand this you need to know aboutalgebracirclearea of semi-circle=½×πr²it says to figure out the area of semi-circle not full circle
so
using the formula of area of semi-circle
=½πr²=½×3.14 × 2²
=2×3.14
=6.28
Alex is a stockbroker. Earns % commission each week. Last week, sold $ worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did he make in commission in 2011?
Answer:
a. $896
b. $46,592
Step-by-step explanation:
a. Alex earns 14% of the amount of stock he sells in a week.
The week before he sold $6,400. This means that his earnings in commission are:
= 14% * 6,400
= $896
b. Commission for the year:
If he makes $896 per week, there are 52 weeks in a year. Per year he would make:
= 896 * 52
= $46,592
Use formula v=u +at to find the velocity when the initial velocity is 3m/s, the acceleration is 1.5m/s2
Answer:
13.5m/s^2
Step-by-step explanation:
THIS IS THE COMPLETE QUESTION BELOW
Use formula v=u +at to find the velocity when the initial velocity is 3m/s, the acceleration is 1.5m/s2 at t= 7s
The given formula is
v=u +at
a= 1.5m/s2
t= 7s
initial velocity = u= 3m/s,
Final velocity= v=?
From the given eqn we can substitute our values to get final velocity
v=u +at
v= 3+(1.5×7)
= 3+10.5
=13.5m/s^2
Hence, the final velocity=13.5m/s^2
find what x=________
Answer:
if the center is a square, then x = 11
Plz what is the answer?
Answer:
33
Step-by-step explanation: