Answer:
x=8
Step-by-step explanation:
Step 1: Subtract 5/6x from both sides.
1/3x+1−5/6x=5/6x−3−5/6x
−1/2x+1=−3
Step 2: Subtract 1 from both sides.
−1/2x+1−1=−3−1
−1/2x=−4
Step 3: Multiply both sides by 2/(-1).
(2/−1)*(−1/2x)=(2/−1)*(−4)
x=8
It took a car 4 days to travel 2686 miles. What was this car's average speed, in miles per hour? (round to the nearest mile per hour)
Answer:
28
Step-by-step explanation:
Well we know that in a day there are 24 hrs so in 4 days there will be 96 hrs
so the car travelled 2686 miles in 96 hours
2686/96= 27.9791666667
So the car's average speed is about 28
Paul buys 5 bags of chips and 9 bags of pretzels for $16.95. Ian buys 1 bag of chips and 1 bag of pretzels for $2.55. Find the cost of one bag of chips and one bag of pretzels.
Answer: The cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.
Step-by-step explanation:
Let x= Cost of one bag of chips
y= Cost of one bag of pretzels.
As per given, we have
5x+9y=16.95 ...(i)
x+y=2.55 ...(ii)
Multiply 5 to (ii), we get
5x+5y=12.75 ...(iii)
Eliminate (iii) from (i), we get
[tex]4y=4.2\\\\\Rightarrow\ y=1.05[/tex]
Put value of y in (ii), we get
[tex]x+1.05=2.55\\\\\Rightarrow\ x=2.55-1.05=1.5[/tex]
Hence, the cost of one bag of chips is $1.5 and cost of one bag of pretzels is $1.05.
x+0.5y=1.5 solve for y
Answer:
Y = 3 - 2x
Step-by-step explanation:
Jessica is returning home from a trip. The function d(t)=458-60t models the distance, in miles, that Jessica is from her house t hours after she began returning home. How far is Jessica from her home 5 minutes after she began returning home?
A.
5 miles
B.
158 miles
C.
300 miles
D.
453 miles
Answer: D. 453 miles .
Step-by-step explanation:
Given: The function [tex]d(t)=458-60t[/tex] models the distance, in miles, that Jessica is from her house t hours after she began returning home.
At t = 5 minutes = [tex]\dfrac{5}{60}[/tex] hour [1 hour = 60 minutes],
Distance covered by Jessica in 5 minutes = [tex]d(\dfrac{5}{60})=458-60(\dfrac{5}{60})[/tex]
[tex]=458-5=453\ miles[/tex]
Jessica is 453 miles from her home after 5 minutes she began returning home.
Hence, the correct option is D. 453 miles .
Use the given x and y values to write a direct variation
equation. Enter your answer in the form y = kx.
x = 5, y = 50
The form is y = kx
Replace y and x:
50 = k(5)
Solve for k by dividing both sides by 5
K = 10
help me please it's easy ig
Answer: 9 R53
**If the picture is sideways, use the rotate button at the top right.
a car is traveling at a constant velocity of 60km/h east for 4 hours. choose the correct statement about the acceleration of the car
plss helppp mee! The corporate team-building event will cost $18 if it has 3 attendees. How many attendees can there be, at most, if the budget for the corporate team-building event is $42? Assume the relationship is directly proportional.
Answer:
16 attendees at most. sorry if its wrong
Step-by-step explanation:
33 divided by 11 = 3.
3 for each attendee.
48 - 33 = 15.
15 divided by 3 = 5.
please help me !!! easy question and i’ll give brainliest
Answer:
x = 35.1 degrees
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj/ hyp
cos x = 27/33
Take the inverse cos of each side
cos ^-1 ( cos x) = cos ^-1(27/33)
x =35.09680123
To the nearest tenth
x = 35.1 degrees
Answer:
x=35.1
Step-by-step explanation:
cos(x)=[tex]\frac{27^{2}+33^{2}-360 }{2(27)(33)}[/tex]
x=35.1(correct to the nearest tenth)
-5√112
I have to solve this using perfect square factors, is anyone familiar with those?
Answer:
-20√7
Step-by-step explanation:
Here. we want to write this in the simpler form
we can have 112 as; 16 * 7
√112 = √(16*7)
√112 = 4 √7
so, we have
-5 * 4 √(7 = -20 √7
Brainliest to first correct answer.
Solve the system of linear equations by substitution.
4x−2y=14
y=12x−1
The answer is x = -0.6 and y = -8.2.
PLEASE HELP! A positive number is 1/3 of another number. The sum of the numbers is five less than the square of the larger number. Find the numbers. PLEASE SHOW WORK Thanks!
Answer: The numbers are 1 and 3.
Step-by-step explanation:
Let x = smaller number , y= larger number.
As per given,
[tex]x=\dfrac{y}{3}[/tex] ...(i)
[tex]x+y=y^2-5[/tex] ...(ii)
Put value of x from (i) in (ii)
[tex]\dfrac{y}{3}+y=y^2-5\\\\\Rightarrow\ \dfrac43y=y^2-5\\\\\Rightarrow\ 3y^2-4y-15=0\\\\\Rightarrow\ 3y^2-9y+5y-15=0\\\\\Rightarrow\ 3y(y-3)+5(y-3)=0\\\\\Rightarrow\ (y-3)(3y+5)=0\\\\\Rightarrow\ y=3 \ \ or\ y=\dfrac{-5}{3}[/tex]
Since numbers are positive , so y=3 is correct.
And x will be 1 [from (i)]
Hence, the numbers are 1 and 3.
Help pleaseeeee I will try and give brainliest
Answer:
the answers B c=35h+50
Step-by-step explanation:
Answer:
the answer is D. c= 85h
Step-by-step explanation:
i think this is the answer if it is correct plz give brainliest.
A 24-foot ladder is placed 7ft from the wall, (as shown)
if the top of the ladder slips down 4 ft, how many feet will the bottom slide out?
a. 4 feet
b. 8 feet
c. 15 feet
d. 20 feet
anyone who answers this (first) will get 15 points!
Need help now!!!! Find the area of a rhombus
Answer: 80 in
Step-by-step explanation:
Answer:
64 in
Step-by-step explanation:
What is the product?
Answer:x=45.6
Step-by-step explanation:
Answer:
(x^2 - 5x^2 + 4x) / 2x + 8
Step-by-step explanation:
(x^2 - 16) / 2x + 8 * (x^3 - 2x^2 + x) / (x^2 + 3x -4)
(x^5 - 2x^4 - 15x^3 + 32x^2 -16x) / 2(x - 1)(x + 4)(x + 4)
x(x-1)(x-1)(x+4)(x-4) / 2(x - 1)(x + 4)(x + 4)
(x^3 -5x^2 +4x) / 2x + 8
21.06 + 3.3x = 6.7x – 9.54
Need help with this one
Answer: Line 3
Step-by-step explanation:
Explain a line graph in your own words
Answer:
A line graph (also known as a line plot or line chart) is a graph which uses lines to connect individual data points that display quantitative values over a specified time interval. Line graphs use data point "markers" that are connected by straight lines to aid in visualization.
What is T6 in exponential form?
6
DONE
Answer:
T6 is already in exponential form.
Step-by-step explanation:
The reason why T6 is already written in exponential form is beacuse nothing further can be done with this equation.
Is it possible for 2 numbers to have a difference of a 8 and a sum of 1
Answer:
Yes, it is possible for two numbers to have a difference of 8 and a sum of 1.
Step-by-step explanation:
Which ones are true?
Answer:
its box 1,3,5
Step-by-step explanation:
A boat travel 448 km using 112 litres of gasoline.How far can the boat travel using 1 litre of gasoline
Divide total distance by total liters used.
448 km / 112 liters = 4 km per liter.
Using 1 liter of gas the boat can travel 4 km.
Answer:
1 litre = 4 km
Step-by-step explanation:
448/112 = 4/1
Cross multiplication, 448 x 1 divided by 112 = 4
Find the Measure of angle O
(see image)
Only real answers, please
Answer:
From the given figure we can see that :---
MN||PO, MN=PO and MP=NO
Therefore, angle M=angle N (adjacent sides of the trapezoid)
[tex](8x - 16) = (6x + 20) \\ 2x = 36 \\ \boxed{x = 18}[/tex]
angle M=angle N= (6×18)+20=108+20 =128°
angle O =(180°-128°)=52°
Hence, angle O is 52°.Laura bought a DVD for $12 and a CD for $10. After she bought the DVD and CD she had $55 left. How much money did she have before she bought the DVD and CD?
Answer:
she had $77 to her name
Step-by-step explanation:
Add the cost up from the cd & dvd then add the total from that and the 55
Answer:
She should've had 77 dollars before
Step-by-step explanation:
55 plus 12 = 67
67 plus 10 = 77
3x^(2)+5x-2=0
solve step by step using quadratic formula.
Answer:
x=1/3,-2
Step-by-step explanation:
.) What is the unit rate in miles per gallon?
=
Answer:
25 miles per gallon 10 gallons is the UNIT RATE.
Jada had read 2/3 of a book . She has read 60 pages so far . How many pages are in the whole book?
1 and 2 is all I need and you guys would help me from not getting beat
Answer:
1. -10
2. -11
Step-by-step explanation:
In a translation, what math process is used?
a) addition/subtraction
b) multiplication
c)division