Value of m is -4
Value of x is 5
To solve linear equations, follow the following steps:
Clear fractions and decimals.Simplify each side of the equation by removing parentheses and combining terms.Isolate the variable term on one side of the equation keeping the other terms separateSolve the equation by dividing each side of the equation mathematicallyMatch your steps and the final solution with the correct solutionEquation 1.
2-6m = -4m+10
6m-4m = 2-10
2m = -8
m = -8/2
m = -4
Value of x is -4
Equation 2.
2.5+1.75 = -3.25+1.5x
1.5x = 4.25+3.25
1.5x = 7.5
x = 7.5/1.5
x = 5
Value of x is 5
Learn about linear equations
https://brainly.com/question/11897796
Deshaun's gas tank is 1/4 full. After he buys 9 gallons of gas, it is 5/8 full. How many gallons can Deshaun's tank hold?
Answer:
Step-by-step explanation:
so what is the difference from 1/4 to 5/8 ? is the question
2/8=1/4
5/8-2/8 = 3/8
9 gallons of fuel fill 3/8 of the tank
since 3/8 is 9 gallons we can see that 1/8 will be 3 gallons or 9/3=3
then multiply 3 gallons by the 8 parts for the whole tank
3*8=24 gallons.
Than tank can hold 24 gallons
Suppose that the functions and are defined as follows.
Find the following.
The expression we get from the given functions r and s defined for all real numbers x.
r( s(-3))= -38
Given that,
All real numbers x are defined by the functions r and s.
r(x) =2x+1
s(x) =-2x²-2
We have to find the expression
r( s(-3))
Take the functions,
r(x) =2x+1
s(x) =-2x²-2
Now, Take
r( s(-3))
Substitute s function first
r(-2(-3)²-2)
r(-2(9)-2)
r(-18-2)
r(-20)
Now substitute r function
2(-20)+2
-40+2
-38
Therefore, The expression we get from the given functions r and s defined for all real numbers x.
r( s(-3))=-38
To learn more about expression visit: https://brainly.com/question/14083225
#SPJ1
ron picked 7/10 bushels of apples ben picked 9/10 bushels of apples how many apples did they pick all together give your answer in lowest terms
I really need help on this one I am confused and if someone could explain that would be great. also I am sorry the picture is flipped I couldn't turn it.
The hourly rate that the business owner should pay the employees to obtain the desired net income of $40,000 is of:
$17.
How to calculate the net income?The net income is calculated as the subtraction of the total income by the expenses.
In the context of this problem, the expenses are given as follows:
Building and equipment: $900 a month = $10800 a year.Hearse: $200 per month = $2400 per year.Lead car: $150 per month = $1800 per year.Insurance: $1500 per year.Licensing/Certification: $250.Three employees, each working 20 hours a week = 52 x 20 = 1040 hours a year.Hence the expression for the net income is given as follows:
110000 - [10800 + 2400 + 1800 + 1500 + 250 + 3(1040x)] = 40000
93250 - 3120x = 40000
3120x = 53250
x = 53250/3120
x = $17 an hour.
More can be learned about net income at https://brainly.com/question/25895372
#SPJ1
How many times did the team score less than 60 points?
Stem
4
5
6
7
Leaf
2,5,9
3,4,6,8,8,9
0,2,3,4,4,6,8
0,0,1,2
what is the domain and range of
{(3,2).(6,5),(9,9)}
Check the picture below.
Find the equation (in slope-intercept form) of the line
slope: 85, ordered pair: (0,−43)
The equation in slope-intercept form is y = 85x - 43
How to determine the equation of the line?The given parameters are
Ordered pair, (x, y)= (0, -43)Slope, m = 85A linear equation is represented as
y = m(x - X) + Y
Where m is the slope
Substitute the known values in the above equation
So, we have the following equation
y = 85(x - 0) - 43
Evaluate
y = 85x - 43
Hence. the linear equation is y = 85x - 43
Read more about linear equation at
brainly.com/question/14323743
#SPJ1
help with this equation
The equation of the line with coordinates (-7,3), (8,3) is y-3=0 as the slope of line is 0 because x-ordinate is same in both the points.
What is equation?A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. The point-slope form, standard form, and slope-intercept form are the three main types of linear equations.
The two point form of equation,
y-y1=m(x-x1)
m=(y2-y1)/(x2-x1)
m=(3-3)/(8--7)
m=0
y-3=0(x+7)
y-3=0
Because the x-ordinate is the same at both points, the equation for the line with coordinates (-7,3) and (8,3) is y-3=0.
To know more about equation,
https://brainly.com/question/10413253?referrer=searchResults
#SPJ1
Diana is packing a lunch that will include an orange. Diana has 3 navel oranges, 5 mandarin oranges, and 4 Valencia oranges. If Diana selects an orange at random, what is the probability that she selects a navel orange?
Give your answer as a simplified fraction.
Answer:
Step-by-step explanation:
1. Ok. Probability is something out of all. Add to get the bottom base of the probability.
3+4+5= 12
2. Probability is something out of something so 3 navel oranges can be represented out of 12 oranges.
3 out of 12
3. Make as fraction:
3 out of 12=
3/12=
1/4 or 25 Percent!
Answer: 1/4 or 25% ( If wanted as Percent)
Answer:
1/4
Step-by-step explanation:
Number of navel oranges = 3.
Number of mandarin oranges = 5.
Number of Valencia oranges = 4.
Let N be an event that Diana selects navel orange.
The total number of oranges Diana has:
n(T)=3+5+4=12n(T)=3+5+4=12
Number of navel Oranges is:
n(N)=3n(N)=3
The probability that Diana selects a navel orange is:
P(N)=n(N)n(T)=312=14P(N)=n(N)n(T)=312=14
Hence, the probability that Diana selects a navel orange is 1414.
Getting rain at least once in 11 days if Probability of rain on each single day is 0.4
Answer:
because u can't predict the days rain will fall so u can say it will fall in ratio 0:4
I need an answer ASAP. A football player runs the ball from the 20-yard line on one side of the field to the 20-yard line on the other side. How many yards did the player run?? 100 pts and the brainliest.
The player ran 60 yards on the football field
How to find the distance covered by the playerA football field measures a length of 100 yards, using subtraction the required dimensions are calculated
The player started form 20 yards line to 20 yard of the other end of the field
The player did not ran the initial 20 yards and the finial 20 yards
this added to give 40 yards
Length covered by the player
100 yards - 40 yards = 60 yards
Learn more about football field here:
https://brainly.com/question/29399743
#SPJ1
the difference between two numbers is 547. one is 268 find the larger
Answer:
279
Step-by-step explanation:
which of these statements below are true? Select all that apply
Answer:
Step-by-step explanation:
the answer is D i'm pretty sure
What is the first step in estimating the quotient for 492 divided by 50?
Answer:
10
Step-by-step explanation:
Round 492 to 500, then estimate 500/50
tire could roll 200 yards in 27.28 revolutions , what is the radius of the tire?
The radius of the tire is 1.17 yards.
According to the question,
We have the following information:
A tire could roll 200 yards in 27.28 revolutions.
We know that the tire is in the shape of a circle.
We also that the following formula is used to find the circumference of the circle:
2πr where r is the radius of the circle
Now, we have the following expression:
2πr*27.28 = 200
54.56πr = 200
r = 200/54.56π
r = 200/54.56*3.14
r = 200/171.32
r = 1.17 yards
(The unit of the radius will remain same as that of the distance given.)
Hence, the radius of the tire is 1.17 yards.
To know more about radius of the tire here
https://brainly.com/question/13082921
#SPJ1
Petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil. In order to make 836 liters of Petrolyn oil, how many liters of synthetic oil are needed?
The liters of synthetic oil that are needed is 456 liters.
How to calculate the liters?From the information, petrolyn motor oil is a combination of natural oil and synthetic oil. It contains 5 liters of natural oil for every 6 liters of synthetic oil.
To make 836 liters of oil, the liters of synthetic oil will be:
= 6 / (6+5) × 836
= 6/11 × 836
= 456
Therefore, 456 liters are needed.
Learn more about ratio on:
brainly.com/question/2328454
#SPJ1
A basic cellular package costs $40 /month for 60 minutes of calling with an additional charge of $0.20 /minute beyond that time. The cost function C(x) for using x minutes would be
If you used 60 minutes or less, i.e. if if x≤60 , then C(x)=40 (the base charge).
If you used more than 60 minutes, i.e. (x−60) minutes more than the plan came with, you would pay an additional $0.20 for each of those (x−60) minutes. Your total bill would be C(x)=40+0.20(x−60) .
If you want to keep your bill at $50 or lower for the month, what is the maximum number of calling minutes you can use?
Answer:
78
exclamation is that if 50 is lower than 60 which it is meaning that 78 is the correct answer if you multiply 18 + 34 that is not the right answer but there should be a right answer under this question you shouldn't trust me because I do not give a what the answer is I do not suggest you write down this answer but you do your top G
The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.
To keep your bill at $50 or lower for the month, you need to set up an inequality using the cost function C(x):
C(x) = 40 + 0.20(x - 60)
Since you want to keep the cost at or below $50, the inequality is:
C(x) ≤ 50
Now, substitute the expression for C(x) into the inequality:
40 + 0.20(x - 60) ≤ 50
40 + 0.20x - 12 ≤ 50
0.20x + 28 ≤ 50
Now, isolate the term with "x" on one side by subtracting 28 from both sides:
0.20x ≤ 50 - 28
0.20x ≤ 22
Finally, divide both sides by 0.20 to solve for "x":
x ≤ 22 / 0.20
x ≤ 110
The maximum number of calling minutes you can use to keep your bill at $50 or lower is 110 minutes. If you use 110 minutes or less, your bill will not exceed $50.
Learn more about maxima here:
https://brainly.com/question/12870695?
#SPJ2
Yoga pants are on sale for 1/3 off the original price. If a pair of yoga pants normally costs $60, what is sales price?
The sales price of the yoga pants is $20.
How to calculate the price?It should be noted that from the information illustrated, the Yoga pants are on sale for 1/3 off the original price and a pair of yoga pants normally costs $60.
The sales price will be:
= Fraction given × Original price
= 1/3 × $60
= $20
The price is $20.
Learn more about price on:
brainly.com/question/1153322
#SPJ1
Write an equation that has the given solutions. -4, 6
Answer: Possible Answers:
x2+x−12=0
x2−x−12=0
x2+3x−4=0
2x2+2x−6=0
x2−4x−3=0
Step-by-step explanation: youer welcome
Consider the following linear equation.
y=−43x+2
Step 1 of 2 : Determine the slope and the y-intercept (entered as an ordered pair) of the equation above. Reduce all fractions to lowest terms.
Slope: -1/9
Y-Intercept: 2
Present value interest rate? You expect to receive $10000 as a bonus after 5years on the job. You have calculated the parent value of this bonus and the answer is $8000 what discount rate did you use in your calculation
The discount rate used in calculator wound be 4.56%.
Given that,
You anticipate getting a bonus of $10000 after five years on the job.
We have the result of your calculation for the parent value of this bonus is $8000. what percentage of a discount rate did you use.
We know that to find the present value of a future sum of money .
PV= FV/(1+r)ⁿ
Here,
PV is present value = $8000
FV is future value = $10000
r is discount rate we have to find
n is time = 5 years
Substitute in the formula,
$8000=$10000/(1+r)⁵
(1+r)⁵=$10000/$8000
(1+r)⁵=1.25
1+r=[tex]1.25^{1/5}[/tex]
1+r=1.0456
r=1.0456-1
r=0.0456
r=4.56%
Therefore, The discount rate used in calculator wound be 4.56%.
To learn more about calculator visit: https://brainly.com/question/15380536
#SPJ1
HI i need this questions answer as soon as possible WITH STEPS PLEASE
Answer:
210
Step-by-step explanation:
200 × (5% + 1)
=200 × (0.05 + 1)
=200 × 1.05
=210
yan po hope it helps
6. Use the data below to make a scatter plot in Desmos and find the
exponential regression equation. Round to the nearest hundredth if
necessary. Do not type spaces.
Time (years)
7. Using your equation from #6, find out how much the Fire Dragons
comic book would be worth in 55 years.
Your answer
Answer:
I hope that the picture below helps.
Step-by-step explanation:
what is f(2) for f(x) = 3^x--13
f(2) = -4
Step-by-step explanation:
f(2) = 3^2-13
f(2) = 9-13
f(2) = -4
HElp using trigonometry how do I solve this?
By using trignometry we got the side p as 6.67
Use the cosine rule of trignometry to find side p
p² = r² + q² - 2rqcosP
To find the angle of p we will simply subtract angle R and angle Q from 180.
180 - 47.28 - 40 = 92.72
p² = 8² + 7² + 2(8)(7)cos(92.72)
p² = 107.685
p = √107.685
p = 10.38
Let's suppose that the shortest distance of R from PQ is .
look at the diagram I gave
since the line I made makes a right angled triangle, we can use SOH CAH TOA
for the angle 40, is opposite and 10.38 is hypotenuse
which means we will have to use SOH
sin40 = O/H
sin40 =x /10.38
0.6428 = x/10.38
0.6428 × 10.38 = x
x = 6.67
Hence, by using trignometry we got the side p as 6.67
To learn more about heights and distance refer here
https://brainly.com/question/25748640
#SPJ1
Disclaimer,
The given question is incomplete, the answer is done based upon a similar question. The question is given in the image attached.
pls help ill give brainliest
Answer:
(- 12, 10 )
Step-by-step explanation:
2x + 4y = 16 → (1)
- 2x - 3y = - 6 → (2)
add (1) and (2) term by term to eliminate x
0 + y = 10
y = 10
substitute y = 10 into (1) and solve for x
2x + 4(10) = 16
2x + 40 = 16 ( subtract 40 from both sides )
2x = - 24 ( divide both sides by 2 )
x = - 12
solution is (- 12, 10 )
Answer:
(- 12, 10 )
Step-by-step explanation:
mark the person above me as brainliest
Best Buy has an iPad for $540. This weekend it’s on sale for 30% off. Best Buy charges 8% sales tax. If you were to purchase this iPad this weekend, what is the amount of money do you give the clerk? Show your work.
Answer:
Step-by-step explanation:
540x0.30=378
378x0.08=30.24
378+30.24=408.24
This number line models the division problem 14÷5 .
What is the quotient?
Enter your answer as a fraction in simplest form by filling in the boxes.
$$
The simplest form of fraction (1/4)/5 is 1/20.
What is quotient?A quotient is the simplest or resultant value of division of two numbers. In two numbers, one number is dividend and another number is divisor,
quotient=dividend/divisor
The simplest form for fraction (1/4)/5,
(1/4)/5=1/(4×5)
= 1/20
So, the simplest form of (1/4)/5 is 1/20.
To know more about Quotient on:
https://brainly.com/question/17486526
#SPJ1
It takes a word processor 30 minutes to word process and spell check 4 pages. Find how long it takes her to word process and spell check 22 pages.
It will take the word processor 165 minutes to check 22 pages
How to determine the time to check the pages?The given parameters in the question are:
Speed = 30 minuter per 4 pages
Number of pages = 22 pages
The number of hours to check the pages can be calculated using the following equation
Time = Speed * Number of pages
Substitute the known values in the above equation So, we have the following equation
Time = 30/4 * 22
There is no unit to convert
So, we have
Time = 30/4 * 22
Evaluate
Time = 165
Hence, the time is 165 minutes
Read more about unit rates at
https://brainly.com/question/19493296
#SPJ1
3(20/3)/2-5 Como se resuelve este??? Ayuda