The slope and the intercept of both lines are the same. Because of that, the lines are identical.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.
The general form of the equation of the line is:-
y = mx + c
y=-2/5x+3
Solve the equation to form their general form.
2x+5y=15.
5y = 15 - 2x
y = ( 15 / 5 ) - 2 / 5x
On comparing the two lines it is observed that the lines are having the same slope and intercept.
Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.
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A store sells shirts at a price of 2 for $5.00. At this price, how much do 7 shirts cost?
Answer:
$17.50
Step-by-step explanation:
2 goes into 7 3 times, and 5 times 3 is $15.00, so theres one shirt left. If 2 shirts cost $5, one will cost $2.50. So, 15+2.50= $17.50
Solve as a difference equation.
After caffeine is absorbed into the body, 1% is eliminated from the body each hour. Assume a person drinks an 8-oz cup of brewed coffee
containing 130 mg of caffeine, and the caffeine is absorbed immediately into the body. Find the difference equation for Yn, the amount of caffeine in
the body after n hours. Solve the difference equation. After how many hours will 65 mg (one-half the original amount) remain in the body? How
much caffeine will be in the body 24 hours after the person drank the coffee?
Solution :
Let y = amount of caffeine at a given time in body.
n = number of hours
So [tex]$\frac{dy}{dn}= - \ Y$[/tex]
[tex]$\Rightarrow \frac{dY}{Y}=- 0.01 \ dn[/tex]
ln Y = -0.01 n + C
At n = 0, Y = 130 mg
ln 130 = -0.01 x 0 + C
C = ln 130
[tex]$ \ln \frac{Y}{130} =- 0.01 \ n$[/tex]
[tex]$Y = 130 \ e^{-0.01n}$[/tex]
When Y = 65
[tex]$65 = 130 \ e^{-0.01 n }$[/tex]
[tex]$\frac{65}{130}=e^{-0.01n}$[/tex]
[tex]$\ln \frac{1}{2} = -0.01 \ n$[/tex]
n = 69.315 hours
At n = 24 hours
[tex]$Y = 130 \ e^{-0.01 \times 24}$[/tex]
Y = 102.26 mg
I will be giving 10 points please answer!!
Answer:
C and D
Step-by-step explanation:
I think it's C and D
You can't be certain that the coefficient of s is 3.
The entire thing is not a sum because there's fractions in the equation.
What number can you divide both 4 and 2 by?
Answer:
Well, an infinite amount of numbers. . .
Step-by-step explanation:
1 and 2 would work
Michael went to the grocery store and bought bottles of soda and bottles of juice.
Each bottle of soda has 40 grams of sugar and each bottle of juice has 20 grams of
sugar. Michael purchased a total of 11 bottles of juice and soda which collectively
contain 300 grams of sugar. Write a system of equations that could be used to
determine the number of bottles of soda purchased and the number of bottles of juice
purchased. Define the variables that you use to write the system.
Answer:
2+2929?
Step-by-step explanation:
answer= 2 + 29 = 31, then multiply it by 1= then, you still have it, then add another 29, then theres ur answer
PLEASE HELP. WILL MARK BRAINLIEST. !!50 points!!
Triangle A"B"C" is formed using the translation (x +0, y+ 2) and the dilation by a scale factor of 2 from the origin. Which equation explains the relationship between line
AC and line A"C"?
A. Line AC
——————- = 2
A"C"
B. Line A" C" 1
————— = —
AC 2
C. Line A"C"
Line AC = —————-
2
D. Line AC
Line A"C" = —————
2
Answer: i dont understand the question can you please elaborate
Step-by-step explanation:
WILL GIVE BRAIANLEST PLZZZZ HELP MEEE 50 POINTS
Elevator 1 in an office building moved from ground position to a final position of +12 feet. Elevator 2 in the same building moved from ground to a final position of −15 feet. Which statement best describes the final positions of these two elevators? (5 points)
Question 4 options:
1)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below the position of Elevator 1.
2)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above the position of Elevator 1.
3)
Elevator 1 is 12 feet above ground level, and Elevator 2 is 15 feet below ground level.
4)
Elevator 1 is 12 feet below ground level, and Elevator 2 is 15 feet above ground level.
Answer: The answer would be option 3
Step-by-step explanation:
!!!HELP !!! Plis
The blue dot is at what value on the number line?
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
if you count from -3, itll be at -6.
Timed!! Answer hurry!
Hellllllllppppppppppppppppppppppp
Answer:
All of the degrees add up to 90. Therefore, right angle.
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time. You decide to take a second job that pays $9 dollars an hour. You can work as many hours for this job as you like. Taxes are 12% of your earnings, and you are able to save the rest. Over these 4 months, what is the minimum number of hours you will need to work in order to save enough money for your tuition alone? Round your answer to the nearest hour.
Answer:
10.80
Step-by-step explanation:
12% of $9 dollars is $1.08 rounded is 1.080
btw if this was a real job id quit even though im in 6th
The minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
What is a linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
It is given that:
You are going to attend night classes for 4 months. You have to earn an additional $987 for tuition within this time.
You decide to take a second job that pays $9 dollars an hour.
Taxes are 12% of your earnings, and you are able to save the rest.
Let x be the minimum number of hours you will need to work in order to save enough money for your tuition alone.
From the data given, we can frame a linear equation in one variable.
987 = 9x - 12% of 9x
987 = 9x - (0.12)(9)x
987 = 9x - 1.08x
7.92x = 987
x = 987/7.92
x = 124.62 ≈ 125 hours
Thus, the minimum number of hours you will need to work in order to save enough money for your tuition alone is 125 hours.
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Last month, Sheldon earned $12.80 in interest on a $320 deposit into his bank account. If the interest earned is directly proportional to the amount deposited, how much interest can Sheldon expect next month if he deposits $830?
Answer:
$487.20
The answer is $487.20 if he expects to deposits $830.
1,232 divided by 8 =?
Show your work!
Answer:
154
Step-by-step explanation:
just divide 1232 and 8
(long division)
John travels 54 miles each day of his 5 day journey to Disney land. What is the distance from John’s house to Disney land? PLZZ
i need help please!! its math !
Answer:
perimeter = 2(8x+3) + 2(5) area= (8x+3) • 5
Step-by-step explanation:
perimeter = 2(length) + 2(width)
if length equals (8x+3) and width equals 5 then you would just plug those numbers into the equation which gives you...
perimeter = 2(8x+3) + 2(5)
area = length • width
like i previously said above if length equals (8x+3) and width equals 5 than you would just plug those numbers into the equation which gives you...
area = (8x+3) • 5
What are the missing angles?
A pair of jeans that originally costs $42 is 25% off. What is the sale price?
Answer:
$31.50
Step-by-step explanation:
42 x 0.25 = 10.5
42 - 10.50 = 31.50
$31.50
Explanation:
42 × 25% = 10.5
42 - 10.5 = 31.5
2 cm on a map is equal to 3 km in real life. If two points are 8 cm apart on the map, how far apart are they in real life?
Answer:
12km in real life.
Step-by-step explanation:
Please mark brainliest.
1 is what percent of 4?
A. 23%
B. 24%
C. 25%
D. 30%
Answer:
C: 25%
Step-by-step explanation:
1/4 = 0.25 = 25%
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
Answer:
C
Step-by-step explanation:
1 divided by 4 is .25, move the decimal over two points and you get 25%.
Helppppppppppppppppppppp
Answer:
true
Step-by-step explanation:
Which of the following is a better buy?
7 tickets for $22.75
10 tickets for $31.50
Answer:
10 tickets for $31.50
Step-by-step explanation:
So If we divide 22.75 by 7 it gives you 3 dollars and 25 cents per ticket
If you divide 31.50 by 10 it gives you 3 dollars and 15 cents.
So In conclusion 10 tickets for $31.50 dollars is the better buy
Answer:
10 Tickets Is The Better Deal
Step-by-step explanation:
So What You Do Is You Will Divide 22.75 By 7
You Will Get 3.25! That Means Its 3.25 Each For 7 Tickets
For The Next One You Do The Same Thing
You Want To Divide 31.50 By 10
You Will Get 3.15! That Means Its 3.15 Each For 10 Tickets
So 3.15 Is 10 Cheaper Than 3.25 So Getting 10 Tickets Is A Better Deal
Hope This Help
DOH! My Brain Hurts
can you help me please
Find the measures of the exterior angle.
Answer:126
Step-by-step explanation:
Number of putter
3. How many 80 sheets notebook can a company make using 6080 sheets?
Total number of
76
Step-by-step explanation:
just divide 6080 by 80 and you get 76
What are the zeros of the function
Answer:
(1,0)
Step-by-step explanation:
A.K.A the y and x intercepts you might need to do a little more math you get the y intercept tho
I am so stressed can someone please help me
It’s 53 points
Answer:
(3,1)
Step-by-step explanation:
please answer this :(
Answer:
X+2 metres. Just use a^+2ab+b^2
Martina spent $24 on fruit at the grocery store. She spent a total of $80 at the store. What percentage of the total did she spend on fruit?
Answer: 30%
Step-by-step explanation:
She spent $24 dollars out of the total money she had which was $80. The 24 represents the portion of the money that was spent on fruits. So therefore to find the percentage for put the portion used ($24) divided by the the total ($80) multiplied by a hundred to get the 30%.
Can someone check if my friend did it right?
Answer:
3 mi : 5 mi or 3 mi/5 mi
Step-by-step explanation:
Answer: it’s 3/5 (fraction form)
Hope this helps :)
Step-by-step explanation:
Put the first number on top and the second on the bottom, then simplify them.
answer this correctly please
Answer:
8x-25
Step-by-step explanation: