Answer:
13 books
Step-by-step explanation:
Total cost without the discount = $58 + $7 = $65
Cost of one book = $5
Let the number of books be n
5n = 65
n = 65/5
n = 13
Write the equation of the line that passes through the point (-3, 1) and is perpendicular
3
to a line whose slope is 2
The half-life of caffeine in a healthy adult is 4.8 hours. Jeremiah drinks 18 ounces of caffeinated
coffee in the morning. How long will it take for only 60% of the caffeine to remain in his body?
We want to see how long will take a healthy adult to reduce the caffeine in his body to a 60%. We will find that the answer is 3.55 hours.
We know that the half-life of caffeine is 4.8 hours, this means that for a given initial quantity of coffee A, after 4.8 hours that quantity reduces to A/2.
So we can define the proportion of coffee that Jeremiah has in his body as:
P(t) = 1*e^{k*t}
Such that:
P(4.8 h) = 0.5 = 1*e^{k*4.8}
Then, if we apply the natural logarithm we get:
Ln(0.5) = Ln(e^{k*4.8})
Ln(0.5) = k*4.8
Ln(0.5)/4.8 = k = -0.144
Then the equation is:
P(t) = 1*e^{-0.144*t}
Now we want to find the time such that the caffeine in his body is the 60% of what he drank that morning, then we must solve:
P(t) = 0.6 = 1*e^{-0.144*t}
Again, we use the natural logarithm:
Ln(0.6) = Ln(e^{-0.144*t})
Ln(0.6) = -0.144*t
Ln(0.6)/-0.144 = t = 3.55
So after 3.55 hours only the 60% of the coffee that he drank that morning will still be in his body.
If you want to learn more, you can read:
https://brainly.com/question/19599469
Which algebraic expression is equivalent to this expression?
6(22 - 12) + 63
Help me please!!
The numerical value of this algebraic expression is 123
Step-by-step explanation:To solve this algebraic expression, we're going to subtract the numbers indicated in parentheses, and finally, we're going to multiply and add the numbers.
Resolution:[tex]\large \sf =6(22 - 12) + 63[/tex]
[tex]\large \sf =6(10) + 63[/tex]
[tex]\large \sf =60 + 63[/tex]
[tex]\boxed{\boxed{{\large \sf 123}}}[/tex]
Therefore, we can conclude that the numeric value of this expression will be 123
Can someone pls help me!!! I really need it pls :)
Answer:
Mean x¯ 8.3333333333333
Median x˜ 9
Mode 9
Step-by-step explanation: if 8.3 dosent work just round it
what is the awnser to this question (w2x−3)÷10·z when w=−4, x = 0.8, and z=−45
k12
Tamara bought a $22 mailbox using a 10% off coupon David bought an identical mailbox for $19.95 at a different store
Which statement is true?
Answer:David bought an identical mailbox for $ 19.95 at a different store.
Step-by-step explanation:
David bought an identical mailbox for $ 19.95 at a different store. you can buy a same mailbox but for different prices you have 22 dollars you have a 110 percent off you dont have enough
30/80=e/40 what is the answer?
Answer:
15
Step-by-step explanation:
e^(i.π)+2^(-2+3-1)+21899921030
Answer:
21899921030
Step-by-step explanation:
e^(i.π) = -1
2^(-2+3-1) = 2^0 = 1
Therefor
-1 + 1 + 21899921030 = 21899921030
(REAL ANSWERS PLEASE)
х
у
4
-2
2
-1
0
o
-2
1
-4
2
Without graphing, what is the y-intercept of this function?
es )
A)
(0,0)
B)
(-2, 1)
(2, -1)
D
(4, -2)
Answer:
4 better explanation
Step-by-step explanation:
Answer:
C)
Step-by-step explanation:
(2,-1)
addison had 560 blue marbles and 279 red marbes . How many fewer red marbles does she have then blue
Answer:
281
Step-by-step explanation:
9514 1404 393
Answer:
281
Step-by-step explanation:
The difference between the numbers of marbles is found by subtraction.
560 -279 = 281
Addison has 281 fewer red marbles than blue.
Please look the image attached
Answer:
I think it is c
Step-by-step explanation:
I might be wrong wait for a second answer if it is the same then I think I am right
Solve for z.
57 = –10z +7
Answer:
z = -5
Step-by-step explanation:
Hi there!
We are given the equation 57 = -10z + 7, and we want to solve for z
In order to solve an equation for a variable, we want to isolate that variable on one side; in other words, we want just z on one side of the equation.
So that means that we'll need to get rid of everything else that's also on the right side. That starts with subtracting 7 from both sides:
57 = -10z + 7
-7 -7
_____________
50 = -10z
Now on the right side, there aren't any other extra terms, but remember: we want just z (also written as 1z, with the coefficient of 1), not z written with a coefficient of -10
If you divide a number by itself, the result is 1. For example. [tex]\frac{3}{3}[/tex]= 1. So in order to get a coefficient of 1, let's divide both sides by -10
[tex]\frac{50}{-10} = \frac{-10z}{-10}[/tex]
Divide, and cancel:
The zeros cancel out, leaving the equation as:
[tex]\frac{5}{-1} = \frac{-1z}{-1}[/tex]
Dividing a number by -1 is pretty much the same as multiplying a number by -1; it simply changes the sign of the number
So 5/-1 will become -5, while -1z/-1 will become 1z, or z
Hence:
-5 = z, or written the other way: z = -5
We found z.
Hope this helps!
Paul received a bonus of $750, which was 5% of his annual salary. His annual salary is a. A$37,500 b. $25,000 c. $22,500 d. $15,000 e. $7,500
What is 60 percent of 92?
1.53
5.52
15.3
55.2
Answer:
[Fourth Option] 55.2
Step-by-step explanation:
60% -> 0.6
0.6 * 92 = 55.2
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
(D) 55.2
Step-by-step explanation:
PLEASE HELPPP!! I need help with both questions
9514 1404 393
Answer:
borrow: $21,056.60interest: $1,983.40Step-by-step explanation:
The relation between the monthly payment (A) and the principal borrowed (P) is ...
A = P(r/12)/(1 -(1 +r/12)^-n)
where the annual interest rate is r and n is the number of monthly payments.
Then the principal P can be found as ...
P = $384(12/0.036)(1 -(1 +0.036/12)^-60) ≈ $21,056.60 . . . loan amount
The sum of payments is ...
$384 × 60 = $23,040.
The difference between the payments made and the loan principal amount is the interest paid:
$23,040.00 -21,056.60 = $1,983.40 . . . total interest
henry is designing a tablecloth for his dining room table. He wants to buy fabric in his favorite color to make the tablecloth. use the dimensions below to determine how much fabric he need to buy. 12 feet 7 feet
This question is basically asking for the area of the tablecloth. Remember that A = l • w.
12 • 7 = 84
So, Henry will need to buy 84 ft^2 of fabric.
What is the reciprocal of
5/6
Answer:
6/5
Step-by-step explanation:
helpppp pleaseeeee✋
Answer:
5 x 3 = 15 / 4 x 8 = 32 / 6 x 1.5 = 9
Step-by-step explanation:
Answer:3,8,3/2
Step-by-step explanation:
1) 5*x=15
X=15/5=3
2) 4*x=32
X=32/4=8
3)
6*x=9
X=9/6=3/2
name the following geometric figures in as many ways as you can.
•————•
X W
•————•
X W
This is called as line segment XW. The 2 dots at the ends indicate that the line segment has a starting point & an end point.
______
RainbowSalt2222 ☔
Please help! (Urgent)
Only answer if correct.
I will be asking more so stay tuned.
Answer:
Number of rotations: 5
Slope: 1/2
Step-by-step explanation:
Answer: why did you ask twice for the same problem
Step-by-step explanation:
plsssss helpppppp i’ll give brainliest
Answer:
[tex]-6\leq x\leq 6[/tex]
Step-by-step explanation:
This is answer for the last question.
Could I get help on this?
Answer:
returning the collateral
Please take a look at the picture
Answer:
B) -3/10 x -6
Step-by-step explanation:
-3/10 x -6=-3 x -6/10
When multiplying two negatives you get a positive.
Hope this helps :)
PLS ANSWER FAST!!
Write an equation of the line with a slope of 3 and a y-intercept of -7 .
Answer:
y = 3x - 7
Step-by-step explanation:
For an equation in the format y = ax + b, a is the slope and b is the y intercept.
At Cheng's Bike Rentals, it costs $24 to rent a bike for 5 hours. How many dollars does it cost per hour of bike use?
Answer: $4.80
Step-by-step explanation:
24/5 = 4.8
$4.80
A box contains orange balls and green balls. The number of green balls is seven more than three times the number of orange balls. If there are 103 balls altogether, then how many green balls and how many orange balls are there in the box?
Answer:
Step-by-step explanation:
x = orange ball count
y = green ball count
y = 3x + 7
x + (3x + 7) = 103
4x = 96
x = 24 orange balls
y = 103 - 24 = 79 green balls
or
y = 3(24) + 7 = 79
Answer:
52 green, 15 orange!
Step-by-step explanation:
take reference from the following image:
A friend says that his grade on the test is 5 points lower than your grade. If your
grade is represented by x, how can you represent his grade? Should you use x - 5
-
or 5 - x?
renresent you
Answer:
x-5.
Step-by-step explanation:
If you did it the other way that would be like saying 5 minus your grade. That would be in the negatives unless you got a 5 or below on your grade. :)
Answer:
x-5
Step-by-step explanation:
The other way makes no sense saying 5 minus your grade I hope this helps and it's 5 less than your grade so your grade minus 5 ewuals your answer
someone help me i really need it!
NO BOTS
Answer:
11
Step-by-step explanation:
the first 2 before it splits to 30mins is 9 and 2 so the answer by addition is 11 hope this helps
Pls answer will give brainiest
Answer:
D. is your answer
31,807 = 81 =
Remainder:
Answer:
Answer: (31807/81) ÷ 2 = 196.339506173
Step-by-step explanation:
Math answers to division of fraction 31807/81
31807 81 = 392.679012346
392.679012346 = 3926.79012346 to the nearest tenth
392.679012346 = 392.68 to the nearest hundredth
392.679012346 = 392.679 to the nearest thousandth
= 0 to the nearest tenth
= 0 to the nearest hundredth
= 0 to the nearest thousandth
Other Divisions Math homework are
31807 divide by half plus 20
Homework answers: (31807/2) + 20 = 15923.5
31807 divide by half plus 40
Homework answers: (31807/2) + 40 = 15943.5
31807/81 divided by 2
Answer: (31807/81) ÷ 2 = 196.339506173