Answers
Answer:
1. if x + 5 = 12, then x = 7
:Subtraction property of equality
2. If x + y = 20, and y = 5, then x + 5 = 20.
:Substitution property of equality
3. If 2x3 = 11, then 11 = 2x - 3.
:Symmetric property of equality
Related Questions
A medication with an initial concentration of 1. 5 milligrams per liter is administered to a
patient, and the decay rate of the drug is 10% per hour. Which equation can be used to model
the concentration, C, of the drug in the patient’s body as a function of time, t, in hours since the
drug was administered?
Answers
Answer: Exponential decay model:
y
=
x
(
1
−
r
)
t
, half life of tablet is about
2
hours and after
t
=
3
hours , remaining drug on patient's system is
42.875
mg.
Step-by-step explanation: Initial drug
x
=
125
mg ; rate of decay
r
=
30
100
=
0.3
gm/hour
Exponential model:
y
=
x
(
1
−
r
)
t
=
125
(
1
−
0.3
)
t
=
125
⋅
0.7
t
Half life:
y
=
125
2
=
62.5
mg
∴
62.5
=
125
⋅
0.7
t
or
0.7
t
=
1
2
. Taking logarithm on both sides we get ,
t
log
(
0.7
)
=
log
(
0.5
)
∴
t
=
log
(
0.5
)
log
(
0.7
)
≈
1.94
(
2
d
p
)
hour
The half life of tablet is about
2
hours.
After
t
=
3
hours , remaining drug on patient's system is
y
=
125
⋅
0.7
t
=
125
⋅
0.7
3
=
42.875
mg [Ans]
Write a function for the line with a slope of 5 that passes through the point (2, 1). Enter the correct equation in the box.
Answers
Answer:
brainly
Step-by-step explanation:
A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing
Answers
Answer:
[tex]\frac{3}{25\pi}[/tex] meters per minute
Step-by-step explanation:
Given:
[tex]V=\pi r^2h[/tex]
[tex]r=5[/tex]
[tex]\frac{dV}{dt}=3[/tex]
[tex]\frac{dh}{dt}=?[/tex]
Substitute r=5:
[tex]V=\pi r^2h[/tex]
[tex]V=\pi(5)^2h[/tex]
[tex]V=25\pi h[/tex]
Differentiate both sides:
[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]
[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]
Solve for dh/dt:
[tex]3=25\pi\frac{dh}{dt}[/tex]
[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]
Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.
The school purchased 35 tickets for the ballet. Adult tickets were $10, and student tickets were $7. The total cost was $266.
If x represents the number of adult tickets purchased, and y represents the number of student tickets purchased, which system of equations represents this situation?
Answers
Answer:
Not too sure, but maybe this is what you need.
(Students = S, Adults = A) So, Ax + Sy = 266?
Or
x10 + y7 = $266
Step-by-step explanation:
I think the second one is the most accurate one, ignore the first equation. T^T
A local pizza shop has a membership program for frequent buyers. The membership costs $25 per month and members get a discounted price of $1.25 per slice of pizza. Tristan purchased a membership to this pizza shop. How much would Tristan have to pay the pizza shop if he bought 9 slices of pizza this month? What would be the monthly cost for xx slices of pizza?
Answers
Answer:
Step-by-step explanationcvm
Answer:
25
25+1.25x
Step-by-step explanation:
At least you got an actual answer this time hope this helps
there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box
Answers
Answer:
A 17, B 19, C 27
Step-by-step explanation:
A + B = 36
A + B + C = 63
63 - 36 = 27, which is C
C - A = 10
27 - A = 10
A = 17
A + B + C = 63
17 + B + 27 = 63
63 - 44 = 19
Which equation could have been used to create this table? need answer fast
y = x + 6
y = x + 5
y = 6x
y = 7x
Answers
Answer:
y=6x
Step-by-step explanation:
Each value for y is can be divided by 6 for the value of x
Answer:
y=6x
Step-by-step explanation:
What is the y-intercept of a line that passes through the points (1,-7) and (5,-15)?
Answers
Answer: (0,-5) or just -5
Step-by-step explanation:
gradient = change in y/change in x = (-7+15)/(1-5) = -2
y = -2x + c
-7 = -2 x 1 + c
c = -7 + 2 = -5
y intercept is (0, -5)
Find the product:
[tex] \frac{1}{8} \times \sqrt{8} [/tex]
Answers
Answer:
≈ 0.35
Step-by-step explanation:
First simplify [tex]\sqrt{8}[/tex] and [tex]\frac{1}{8}[/tex] :
[tex]\sqrt{8}[/tex] ≈ 2.83
[tex]\frac{1}{8}[/tex] = 0.125
Now multiply them as shown in the original equation:
0.125 x 2.83 = 0.35375 ≈ 0.35
What is the equation of the line in slope-intercept form?
Line on a coordinate plane. The line runs through points begin ordered pair negative 5 comma 0 end ordered pair and begin ordered pair 0 comma 3 end ordered pair.
Enter your answer in the boxes.
y =
x +
Answers
Step-by-step explanation:
Use the slope formula
Taking two points on the line:
(0,3) and (-5,0)
3-0/0+5
You will get: 3/5 as your slope
The y-intercept is (0,3)
Therefore:
y = 3/5x + 3
Heather works 40 hours a week and she earns $11. 50 per hour. When Heather works over 40 hours, her pay is 1. 5 times her hourly pay. How much does Heather earn if she works 46 hours in one week?.
Answers
11.5 x 1.5 is 17.25
17.25 x 6 is 103.5
103.5 + 460 is 563.5
the answer is $563.50
The amount that Heather earns if she works 46 hours in one week is; $563.5
Amount she earns per hour if she works for 40 hours a week = $11.5 per hour
If she works over 40 hours, her hourly pay is 1.5 times the previous rate.
Thus;
Amount she earned for 40 hours is;
11.5 × 40 = $460
Amount she earned for the 6 extra hours to make it 46 hours is;
1.5 × 11.5 × 6 = $103.5
Total amount she earned for the 46 hours = $460 + $103.5 = $563.5
Read more on proportion word problems at; https://brainly.com/question/160640
if 10 seeds are planted, what is the probability that exactly 3 don't grow?
Answers
Answer:
10:7
Step-by-step explanation:
take 10 as it is and it becomes 10
then,10-3 it is because when 3 don't grow it subtracts and becomes 7
At the beginning of the month you have $1500 in your bank account. Each time you visit the ATM you take $60 out. What is the rate at which your balance is changing each time you visit the ATM?
Group of answer choices
$3
-$60
$60
-$63
-$1500
-$3
Answers
find the circumference of a cd that has an diamater of 5 round your andwer to the nereast tenth
Answers
Answer:
15.7
Step-by-step explanation:
C = 2πr
C = 2(3.14)(2.5)
C = 15.7
6 divided by 20 write your answer in a decimal form
Answers
Answer:
0.3
Step-by-step explanation:
I just need 20 characters so yeah
Answer:
0.3
Step-by-step explanation:
A TV has a listed price of $900.99 before tax. If the sales tax rate is 6.75%, find the total cost of the TV with sales tax included.
Round your answer to the nearest cent, as necessary.
Answers
$900.99 + $60.82 = $961.81 total cost.
What’s the an and the a10
Answers
Answer:
an = -6 + n
a10 = -6+ 10 =4
Step-by-step explanation:
an should start at one behind the first number so it should be -6. Then we add whatever the sequence is increasing by, which is 1 in this case, multiplied by n.
an = -6 + n
a10 = -6+ 10 =4
I need help please? ????????
Answers
Answer:
ummmmm i really don't get it but I think its 17/66
Step-by-step explanation:
multiply in to each fraction
Alright I need help.. I will mark brainliest .
;-;
Answers
Answer:
x - y = 9
Step-by-step explanation:
When x goes up by 1, y goes up by 1. That means there is a constant difference between the values. That difference is x1 -y1 = 1 -(-8) = 9.
An equation relating the values is ...
x - y = 9
_____
Some folks like to see the relation in "y =" form. You can add y-9 to both sides to get that form:
y = x -9
The recipe for Nestle Tollhouse Chocolate Chip Cookies calls for 2
2
cups of chocolate chips to make 5
5
dozen cookies. If you want to bake 9
9
dozen cookies, how many cups of chocolate do you need?
Answers
Answer:
6 cups of chocolate chips
Step-by-step explanation:
2:5 5+4=9 so add 4 to each side of the ratio
6:4
find x and y for this triangle
Answers
Answer:
x = 1.25
x = 1.75
Step-by-step explanation:
I marked the points of this triangle in the attached image so it's easier to explain.
ΔABC is similar to ΔADE, and all pairs of corresponding sides are proportional as a result.
[tex]\frac{DE}{BC}=\frac{AD}{AB}=\frac{AE}{AC}[/tex]
The length of the sides BC and DE is given, so I'll start with that and set it equal to the proportion between AB and AD.
[tex]\frac{DE}{BC}=\frac{AD}{AB}\\\\\frac{10}{8}=\frac{x+5}{5}\\\\10\times5=(x+5)\times8\\50=8x+40\\10=8x\\x=1.25[/tex]
Now, you can do the exact same thing for y:
[tex]\frac{DE}{BC}=\frac{AE}{AC}\\\\\frac{10}{8}=\frac{y+7}{7}\\\\10\times7=(y+7)\times8\\70=8y+56\\14=8y\\y=1.75[/tex]
wich of the following functions maps 3 to -5?
Answers
Answer:
A
Step-by-step explanation:
Consider all options and find f(3):
A.
Then
Not -5, so this option is false.
B.
Then
This option is true.
C.
Then
Not -5, so this option is false.
D.
Then
Not -5, so this option is false.
A copy machine makes 32 copies per minute. How long does it take to make 144 copies?
?????
Answers
Write the word sentence as an equation. Then solve the equation.
The quotient of a number and -1.5 is 21.
a
Equation:
Solution: x=
Answers
Answer:
Step-by-step explanation:
"The quotient of a number and -1.5 is 21."
Let X be the "number."
X/-1.5 = 21
X = -1.5*(21)
X = - 31.5
PLS HURRY!!! NO LINKS, NO STEALING POINTS, AND NO USELESS ANSWERS OR YOU WILL BE REPORTED!!!!!!
What type of triangle is this?
Answers
Answer:
It's an obtuse Scalene Triangle
Step-by-step explanation:
Look up triangle angle calculator and enter in the sides
Segment AB and CD intersect at point E, measure of angle ABC =6x+20 and measure of angle DEB=10x. What is the value of x?
Answers
Answer:
x = 5
Step-by-step explanation:
6x + 20 = 10x
I hope this helps!
Please and thank youuuuuu! :)
Answers
We know the slope intercept formula. Using the formula, we can find the slope.
Formula: y = mx + bGiven equation: y = 4x - 6m = Slopeb = y-interceptNow, let's compare both equations to find out what is the slope.
=> y = mx + by = 4x - 6
Conclusion:We can clearly see that m is replacing with 4. That basically means the slope is 4.
Hoped this helped.
[tex]-BrainiacUser1357-[/tex]
can anyone please help?
Answers
Answer:
-1 or 1.
Step-by-step explanation:i hope thats what your looking for.
How many groups of are there in 30?
Answers
Answer:
6
Step-by-step explanation:
divide or multiply by 5 to get 30
Answer:
??????????????????????
please help me it's important
Answers
Answer:
circumference=2×3.142×radius
radius=16.8÷2=8.4
so,
circumference=52.7856cm