Solve each equation and check your solution. Simplify fractions and write in the form a/b.
{NOTE: You don't have to do every single one of them, It'd help if you could atleast do 1 of these equations }
a. 3x - 6 = 4(2 - 3x) - 8x
⇛ 3x - 6 = 8 - 12x - 8x
⇛ 3x + 12x + 8x = 8 + 6
⇛ 23x = 14
⇛ x = 14/23
b. 1/2z + 6 = 3/2(z + 6)
⇛1/2z + 6 = 3/2z + 9
⇛ 1/2z - 3/2z = 9 - 6
⇛ -z = 3
⇛z = -3
c. 9 - 7w = 8w + 8
⇛ - 7w - 8w = 8 - 9
⇛ -15w = -1
⇛ w = 1/15
Jacob was out at a restaurant for dinner when the bill came. His dinner came to $18. After adding in a tip, before tax, he paid $20.70. Find the percent tip.
Answer:
2.70$
Step-by-step explanation:
Louise buys 4 pencils for £1.20. How much does one cost? :)
Answer:
O.3 pound
Step-by-step explanation:
1.20/4=0.3 pound
Answer:
1.20 divided 4 = 0.3
One pencil costs £0.3
Step-by-step explanation:
Which situation can be modeled by the inequality 65-8x>9
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Answer:
x<7
Step-by-step explanation:
65-8x>9
-8x>9-65
-8x>-56
x<7
Ab= 14
Co=8
OD=3
Find ob
OB be x
[tex]\\ \sf\longmapsto AO\times OB=CO\times OD[/tex]
[tex]\\ \sf\longmapsto (14-x)x=8(3)[/tex]
[tex]\\ \sf\longmapsto 14x-x^2=24[/tex]
[tex]\\ \sf\longmapsto x^2-14x+24=0[/tex]
[tex]\\ \sf\longmapsto x^2-12x-2x+24=0[/tex]
[tex]\\ \sf\longmapsto x(x-12)-2(x-12)=0[/tex]
[tex]\\ \sf\longmapsto (x-2)(x-12)=0[/tex]
[tex]\\ \sf\longmapsto x=2\:or\:x=12[/tex]
Here are the first 5 terms of a
quadratic sequence.
3, 18, 41, 72, 111
Find the nth term of the sequence
Answer:
15n - 12
Step-by-step explanation:
18 ----> 3 = 15
3 -15 = -12
It is currently 0°C outside. The temperature is dropping 2.5°C every hour. Identify an inequality that represents the number of hours that must pass for the temperature to drop below −20°C.
Answer:
-2.5x < -20
Step-by-step explanation:
x represents the number of hours that must pass for the temperature to drop below −20°C.
Find the integer value of x that satisfies both the inequalities
x + 5 > 8 and 2x - 3<7 il edmun er
Answer:
x = 4 is the solution
Step-by-step explanation:
Solving the inequalities
x + 5 > 8 ( subtract 5 from both sides )
x > 3
-------------
2x - 3 < 7 ( add 3 to both sides )
2x < 10 ( divide both sides by 2 )
x < 5
The only integer value of x > 3 and < 5 is 4
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
need help with this.
First one is for number 2 and vice versa.
Melanie got a new job through the Jones Employment Agency. The job pays $32, 400 per year, and the angency fee is equal to 45% of one months pay. How much must Melanie pay the agency?
Answer:
The answer is $1,215
Step-by-step explanation:
I did $32,000 divided by 12 (months on an year) and got $2,700 per month, now we just do 0.45 x $2,700 and thats how I got the answer!
6 (x + 2)^12 - 8 = 64
The chances that you will be ticketed for illegal parking on campus are about 1/3. During the last nine days, you have illegally parked every day and have NOT been ticketed (you lucky person!). Today, on the 10th day, you again decide to park illegally. The chances that you will be caught are:
The required probability of getting caught on the 10th day is 3/5.
What is probability?Probability can be defined as the ratio of favorable outcomes to the total number of events.
Here,
Probability of getting caught in 9 days
= [1 - 1/3]*9=6
The probability of getting on the tenth day is given as,
= 6/10
=3/5
Thus, the required probability of getting caught on the 10th day is 3/5.
Learn more about probability here:
brainly.com/question/14290572
#SPJ5
Today, Lexi is going to an art museum to see a special exhibit. It takes Lexi 26 minutes to walk to the subway station. She will ride the subway for 5 minutes and then walk 7 minutes to the art museum. If Lexi needs to be at the art museum by 8:00 A.M., what is the latest time she can leave her house?
Answer:
7:22
hope this helps and please mark brainllest
PLEASE HELP 60 POINTSSSS
Answer:
x = 6.5 units
Step-by-step explanation:
The 2 given squares are the on the legs of the right triangle with hypotenuse x
Using Pythagoras' identity in the right triangle
The square on the hypotenuse is equal to the sum of the squares on the other 2 legs , then
x² = 13 + 29.25 = 42.25 ( take square root of both sides )
x = [tex]\sqrt{42.25}[/tex] = 6.5 units
The center of an inscribed circle is
formed by the construction of which
three segments?
Angle bisectors
Vertice
Perpendicular bisectors
Circumcenters
Answer:
Angle bisectors, Perpendicular bisectors, and Circumcenters
What is 2 1/4 divided by 4 2/3
Answer: (27/56)
Step-by-step explanation:
(2 1/4)/(4 2/3)
(9/4)/(14/3) [Convert the integers on both sides to leave just fractions.
(9/4)*(3/14) [Invert the denominator and multiply times the numerator]
(27/56)
[tex] \: \: \: \: \: \: \: \: \: \: \: [/tex]
[tex] \frac{27}{56} \\ \\ in \: \: alternate \: \: form \\ \\ 0.482142857[/tex]
Step-by-step explanation:
[tex]2 \frac{1}{4} \div 4 \frac{2}{3} [/tex]
convert the mixed number to an improper fraction[tex] \frac{9}{4} \div \frac{14}{3} [/tex]
to divide by a fraction, multiply the reciprocal of that fraction[tex] \frac{9}{4} \times \frac{3}{14} [/tex]
multiply the fraction[tex] = \frac{27}{56} \\ \\ in \: alternate \: \: form \\ \\ 0.482142857[/tex]
hope it helps[tex] \: \: \: \: \: \: \: \: \: [/tex]
What is an equation of the line that passes through the points (6, -3) and
(-6, -5)?
Answer:
Step-by-step explanation:
The standard form of an equation for a straight line is y=mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).
We can calculate the slope from the two given points, (6,-3) and (-6,-5). Slope is Rise/Run, where Rise is the change in y and Run is the change in x.
From the two given points, starting at (-6,-5) and going to (6,-3):
Rise = (-3 - (-5)) = +2
Run = (6 - (-6)) = 12
Rise/Run (slope) = 2/12 or 1/6
The equation becomes y = (1/6)x + b
We can find b by enterieng either of the two given points and solving for b. I'll pick (6,-3):
y = (1/6)x + b
-3 = (1/6)*(6) + b
-3 = 1 + b [Now you can see why I chose (6,-3)]
b = -4
The equation is y = (1/6)x - 4
Check this with a DESMOS graph (attached).
A boat traveled 27 miles in 2 hours. At this rate, how many miles will the boat travel in 1 over 2 hour?
MODELING REAL LIFE You have $9.25. How many games can you bowl if you rent bowling shoes?
Answer:
For starters how much does it cost to rent out the shoes
2nd of all how much does it cost too play each game ??
Step-by-step explanation:
ill answer just gimme the info pls
At 2 pm the temperature was at 18 degrees Fahrenheit. At 10 pm the temperature is -9 degrees Fahrenheit. What is the change in temperature from 2 pm to 10 pm?
Answer:
27 degrees
Step-by-step explanation:
it was at 18 and then it went down 27 degrees to get to -9 because if you take away the - sign in negative -9, and ad 9 to 18 you will get 27 or just use the calculator to double check your work (what i did) 18-27=-9 and thats what the tempurture went down to in 8 hours
Equations and Inequalities: Tutorial
Each year, the junior class at East High School sells discount cards as a fundraiser. Each $20 discount card is valid for a year
and provides discounts at many area businesses.
This year's juniors are analyzing the revenue, or earnings, from past years and this year. If n represents the number of cards
that students sold last year, match each algebraic expression to what it represents.
Drag the tiles to the correct boxes. Not all tiles will be used.
Tiles
20n
n + 200
20n + 200
20(n + 200)
200n
Pairs
revenue from last year
number of cards sold this year if students sell 200 more cards than last year
revenue this year if students sell 200 more cards than last year
Answer: revenue from last year 20n
number of cards sold this year if students sell 200 more cards than last year n + 200
revenue this year if student sell 200 more cards than last year 20(n + 200)
Step-by-step explanation:
An expression is defined as a set of numbers, variables, and mathematical operations. The given pairs can be matched as shown below.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
Given that n represents the number of cards that students sold last year. Also, it is given that each card is sold for $20. Therefore, the given pairs can be matched as shown below.
1.) Revenue from last year
Revenue = Number of tickets sold last year × Cost of each ticket
= n × $20
= 20n
2.) Number of cards sold this year if students sell 200 more cards than last year
Number of cards sold this year = Number of tickets sold last year + 200
= n + 200
3.) Revenue this year if students sell 200 more cards than last year
Revenue this year = Number of cards sold this year × Cost of each ticket
= (n + 200) × 20
= 20(n+200)
Learn more about Expression here:
https://brainly.com/question/13947055
#SPJ2
SOMEONE HELP ASAPPPPPPPPP PLS WILL MAKE BRAINLEST
Phil is riding his bike. He rides 58 miles in 4 hours, 72.5 miles in 5 hours, and 87 miles in 6 hours. Find the
constant of proportionality and write an equation to describe the situation. Let x represent the number of
hours.
The constant of proportionality is k =
The equation that describes the relationship is y =
Answer:
58 divided by 4 = 14. 5 mph
72.5 Divided by 4 = 14.5 mph
87 divided by 6 = 14.5 mph
k = 14.5 mph
Y= Kx = 14.5X
answer is 14.5 and 14.5X
Step-by-step explanation:
a. For y = 5+ 80 when x = 4, what does y equal?
b. For a = 3 - 5c when c = -0.5, what does a equal?
c. For n = 2d2 – 5 when d = -2, what does n equal?
n
d. For v = -3(1 – 3) when r = -1, what does v equal?
a. y = 5x + 80 = 5*4 + 80 = 20 + 80 = 100
b. a = 3-5c = 3 - 5*(-0.5) = 3 - (-2.5) = 3 + 2.5 + 5.5
c. n = 2d² - 5 = 2*(-2)² - 5 = 2* 4 - 5 = 8 - 5 = 3
d. v = -3(1-3r) = -3(1-3(-1)) = -3(1+3) = -3*4=-12
What is differentiation ?
Answer:
In mathematics, the derivative of a function of a real variable measures the sensitivity to change of the function value with respect to a change in its argument. Derivatives are a fundamental tool of calculus.
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
And how much is an adult ticket?how much is an child ticket?
Answer:
A
Step-by-step explanation:
if a = amount of adult tickets and c = amount of children's tickets
4 adult tickets plus 2 children's tickets equals $36.50
4a + 2c = 36.50
Also, 3 adult tickets and 5 children's tickets equals $38.75
3a + 5c = 38.75
Find the nth term of this sequence
-3 -5 -7 -9 -11 ...
Answer:
Step-by-step explanation:
Answer:
2n-1
Step-by-step explanation:
-5 ---> -3 = 2
-3 -2= -1
How many pounds are in the truck total........!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!⇒
Answer:
1500-8000
Step-by-step explanation:
It depends what type of truck and what its carrying
Find the missing angle. *
45
X
65
45
52
O 25
Answer:
Ans is 65
Mark me BRAINLIEST
Answer:
x is 45
Step-by-step explanation:
since the interior of a circle is 360, and that portion of the outside Is 45, we add 45 to get 90.since there are 4 quarter in a circle, each one would equal 90. 90 times 4 is 360.