Hey! I believe this is the answer you're looking for:
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Step-by-step explanation:
The volume of paint used, V liters, is directly proportional to the area, A square feet, that the paint can cover.
This is written as:
\begin{gathered}V \propto A\\V=kA,$ where k is the constant of proportionality\end{gathered}
(a)5 liters of paint can cover a wall with an area of 75 square feet.
V=5 liters, A=75 square feet.
Substitution into V=kA
5=75k
k=5/75
\text{Constant of proportionality, k}=\dfrac{1}{15}Constant of proportionality, k=151
(b)Substitution of k=\dfrac{1}{15}k=151 into V=kA
The equation relating V and A is:
V=\frac{1}{15}AV=151A
(c)If A=180 Square feet
Volume of paint needed,
\begin{gathered}V=\frac{1}{15} X 180\\=12$ liters\end{gathered}
PLEASE HELP!
A park charges $16 for one round of miniature golf and a reduced fee for each additional round played. If Tom paid $51 for 6 rounds of miniature golf, what is the reduced fee for each additional round played?
Which value of a in the exponential function below would cause the function to stretch? (one-third) Superscript x 0. 3 0. 9 1. 0 1. 5.
Using exponential functions, it is found that a = 1.5 would cause the function to stretch.
The exponential function given is:
[tex]y = \left(\frac{1}{3}\right)^x[/tex]
If it is multiplied by a such that |a| < 1, it is compressed.If it is multiplied by a such that |a| > 1, it is stretched.Hence, a = 1.5 would cause the function to stretch.
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Answer:
1.5 is the value of a in the exponential function below would cause the function to stretch
Please help! IXL math problem
Answer:
224, 755
Step-by-step explanation:
you first have to find the differnce between 177 and 47 which equals to 133.
so you have to do 94+133
and 885-133
In the figure below, a tangent and a secant are drawn to a circle from exterior point E.
Suppose that EG = 13 and ED=26. Find CD.
Answer:
19.5 = CD
Step-by-step explanation:
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Now ED = EC + CD
26 = 6.5 + CD
19.5 = CD
The value of the segment CD will be equal to 19.5.
What is secant and tangent?The relationship between the line segments produced by a secant and a tangent line and the corresponding circle is described by the tangent-secant theorem.
The square of the tangent = (length of the secant)(the length of the outside part of the secant)
It is given that In the figure below, a tangent and a secant are drawn to a circle from exterior point E. Suppose that EG = 13 and ED=26.
The value of the segment CD will be calculated as below:-
EG² = (ED)(EC)
13² = (26)(EC)
169 = 26EC
169/26 = EC
6.5 = EC
Calculate CD.
ED = EC + CD
26 = 6.5 + CD
19.5 = CD
Therefore, the value of the segment CD will be equal to 19.5.
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This is my question pls help
Answer:
a = 15
Step-by-step explanation:
Substitute b = 12 , a = 9 into the equation
12 = [tex]\sqrt{a^2-9^2}[/tex]
12 = [tex]\sqrt{a^2-81}[/tex] ← square both sides
144 = a² - 81 ( add 81 to both sides )
225 = a² ( take square root of both sides )
± [tex]\sqrt{225}[/tex] = a , then
a = ± 15
a > 0 , so a = 15
Determine the slope of the line. what does it represent about the plant?
Answer: slope is 2/3
Step-by-step explanation:
Help Please !! I Need To Have This Turned In By The Next Hour , Anybody Know It !?
Answer:
no
Step-by-step explanation:
Step-by-step explanation:
Because lines are parallel you can use certain rules to determine the relationship of angle 1 & 2.
(A1 & A2 for short)
With the C shape within the parallel lines we can guarantee that the sum of A1 and A2 is equal to 180.
We can also assume A2 is less than 90° as the lines are parallel and the opposing, non parallel line is acute. With this knowledge and the C shape rule, A1 is therefore more than 90°.
Hope this helps
if f(x)=-x+2 find f(6)
Answer:
Answer: -4
Step-by-step explanation:
[tex]{ \rm{f(x) = - x + 2}} \\ \\ { \rm{f(6) = - (6) + 2}} \\ \\ { \rm{f(6) = - 4}}[/tex]
The value for f(6) = -4
What is the function of f(x)?The function of f(x) is set to a term such that for every value of x, there is a unique value for it on the graph.
From the given information, we are given a function
f(x) = -x + 2To find f(6), we replace x with 6.
f(6) = -6 + 2f(6) = -4Learn more about function of f(x) here:
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calculate the simple interest and compound interest on ₹5000 for 2 years at 10% per annum. how much more is the compound interest then the simple interest?
Answer:
Simple: 6000
Compound: 6050
Difference: 50
Step-by-step explanation:
Simple interest formula: A = P(1+rt), where A = final amount, P = initial amount, r = rate, and t = time. Plug our values in to get
A = 5000(1+10% * 2)
convert 10% to a decimal by dividing by 100 and plug that in
10% = 0.1
5000(1+0.1*2) = 5000(1.2) = A = 6000
Compound interest formula: A = P(1+r)^t
Plug our values in
5000(1+0.1)^2 = 6050
Difference = 6050 - 6000 = 50
how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]
[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]
Answer:
x
Step-by-step explanation:
Refer to '<' as ' less than or equal to '
Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )
with that in mind
* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3
so to equate both sides, let's multiply each by the denominator they are lacking.
* 2x - 3/5 lacks 3 compared to -x/3.
* similarly, -x/3 lacks 5 compared to 2x - 3/5
multiply both by what they lack (2)
thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2
* 6x - 9/ 15 - 5x/15 < 2
we can now combine the numerators since we now have a common denominator which is 15.
* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.
criss cross
* x - 9 < 30
* x < 39
How do you turn 48% in to a decimal?
Answer:
0.48
Step-by-step explanation:
Since a percent is ALWAYS a part of the number 1, this makes it to where you must multiply by 100 in order to convert a percent into a decimal. In this case, 48%(100) is 0.48.
  I need help on 7 and 8 plssssss
or
[tex] \sf x ∈[ - 6,5)[/tex]8. Find range ~ [tex] \sf - 2 <y \leqslant 7[/tex]or
[tex] \sf x ∈ (-2 , 7][/tex]In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!
Answer:
Step-by-step explanation: 2x+15 = 75
2x=60
x=30 blue candies
30 + 15 = 45 yellow candies in the bag
1. You are setting up a shelf display filled with present
boxes and other decor. Each shelf has a length of 116
inches and a width of 30 inches. If there are 5 shelves,
what is the total area you can use for the decor?
2. Buddy is figuring out how long his snowflake chain
around the whole store needs to be. Use the diagram
below to find the perimeter of the store! Type your
work and solution in the box under the diagram.
Answer:
1. 17,400 in²
2. ???
Step-by-step explanation:
1. If the the length of each shelf is 116 inches and the width is 30 inches then 1 shelf has 3480 in² of space. Since that's for 1 shelf and we have 5 shelves you multiply 3480 by 5 to get 17400.
2. You didn't give any diagram so I can't really help here but just add up all the side of the shape it gave you. You'll probably have to do some math to find missing sides.
If 4 Apple pies require 22 apples, how many pies can be made with 77apples?
IT IS WORTH 50 POINTS
Answer:
14 apple pies
Step-by-step explanation:
Find the equation of the line shown.
у
10
9
8
7
6
5
4
3
2
N
O
Х
1 2 3 4 5 6 7 8 9 10
The equation of the line shown is y = 4 x
What is a straight line?A straight line is the shortest distance between two points. the equation of straight line is represented as [tex]y = mx + c[/tex]
m is the gradient
y2, y1, x2, x1 are gotten from the graph
[tex]m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} }[/tex]
[tex]m = \frac{8 - 4}{2 - 1}[/tex]
[tex]m = \frac{4}{1}[/tex]
m = 4
c is the intercept on x-axis
from the graph c = 0
substituting the values give:
y = 4 x
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5 The average low temperature for one winter day is 10°F.
The low temperature on that day was actually -2°F.
Write a subtraction problem to represent the
situation. Then write the subtraction problem as
an addition problem.
Answer:
10 - (-2) = 12, 10 + 2 = 12
Step-by-step explanation:
10 - (-2) = 12
10 + 2 = 12
ASAP
Jeremy is solving this system of equations algebraically. Which equation could be a step in his work?
y = 3x + 1
4x - 3y = -13
Answer:
3x+14x
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
jack has $37 and saves $6.50 per week diane has $9 and saves $8.25 per week write and solve an equation to find out how many weeks it would take for jack and diane to have saved the same amount of money
Concrete tiles are made using buckets of cement, sand and gravel mixed in the ratio 1:4:6. If 20 buckets of sand are used, how many buckets of EACH of the following will be
needed?
a)
Cement:
T
b) Gravel:
At 11:00 A.M. the temperature was 37 °F. At 11:00 P.M. the temperature was -6 °F.
What was the change in temperature between 11:00 A.M. and 11:00 P.M.?
Answer:
The temperature decreased by 43 degrees
-43
Step-by-step explanation:
Difference means subtraction
37 - (-6) = -43
I hope this helps!
If x=9 and y=- -2 evaluate the following expression:
x+y
Answer:
x + y = 11
Step-by-step explanation:
You would need to substitute the numbers into the expression.
Evaluate means that we need to work out what the answer would be.
x + y is equivalent to 9 - - 2.
- - is equivalent to +.
Therefore you would do 9 + 2, which equals 11.
Hope this helps :)
Shonda uses a $10 off coupon to purchase a purse at Chic Mart. At the register, she signs up for a credit card which gives her 20% off her total after the coupon. If Shonda’s total was $60.00, what was the original price of the purse?
Based on the coupon and the discount, we can calculate that the original price of the purse is $85.00
The 20% was applied after the coupon so the price after the coupon was:
= Total price / ( 1 - Discount)
= 60 / ( 1 - 20%)
= $75
The coupon was $10 so before it was attached it the price was:
= Price after coupon + coupon
= 75 + 10
= $85
In conclusion, the original price was $85.
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Can you calculate problems involving percent? pls help i WILL make as brainlyst pls i dont wanna fail
Answer:
45 is 150% of 30.
Step-by-step explanation:
To find what percent of 30 is 45 first we must turn it into a fraction and simplify.
fraction form: 45/30
simplified fraction form: 3/2
now to find percent you have to put a number over one hundred.
3/2 = ?/100
Right now our denominator is 2. By what number can we multiply 2 to get to 100? The answer is 50.
Now that we have multiplied the denominator by 50, we also have to multiply the numerator (3) by fifty. 3 x 50 = 150
so now we put the new numerator and denominator together and get 150/100
The answer is 150%
Insert two rational number between: 2.23 bar and 2.24 bar
General method:
Given numbers are 2.23 bar and 2.24 bar
2.23 bar = 2.232323...2.24 bar = 2.242424...Two rational numbers between them
= 2.232525... and 2.239899...
Mean Method:
Let X = 2.232323...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.232323...×100
⇛100X = 223.232323...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 223.232323...
X = 2.232323...
(-)
__________________
99X = 221.000000...
__________________
⇛99X = 221
⇛X = 221/99
and
Let X = 2.242424...→ → →eqn(i)
since the periodicity is 2 then multiply eqn(i) with 100
⇛100×X = 2.242424...×10
⇛100X = 224.242424...→ → →eqn(ii)
Subtract eqn(ii)- eqn(i)
100X = 224.242424...
X = 2.242424...
(-)
_________________
99X = 222.000000
_________________
⇛92X = 222
⇛X = 222/99
Now we have 221/99 and 222/99
The rational number between them by mean method (a+b)/2
⇛{(221/99)+(222/99)}/2
⇛(443/99)/2
⇛443/198
and Second rational number
⇛{(221/99)+(443/198)}/2
⇛{(442+443)/198}/2
⇛(885/198)/2
⇛885/396
Answer: The two rational numbers between them are 443/198 and 885/396.
also read similar questions: Give five rational numbers lying between 3/5 and 4/5. Insert six rational numbers between 3 and 4.
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For a system of linear equations, the solution for the system is__
What is equivalent to -2/5x=-4
A. -20
B. 1
C. -10
D. -8
E. X= -8/5
Answer:
10
Step-by-step explanation:
Multiply each side by the reciprocal, -5/2
x = -4 * -5/2
x = 20/2
x = 10
Find the value of x.
Answer:
x = 12
Step-by-step explanation:
Angle Bisector Theorem: PS / PQ = RS / QR
24/14 = x/7
cross-multiply:
14x = 168
x = 12
Can someone help me with this problem please!
Answer:
can you send in a better photo i cannot see it clearly
Step-by-step explanation:
What is the reason for each step in the solution of the equation?
18x – 2x = 4x
Match the reasons with each step in the equation.
Given
Answer:
18 - 2x = 4x (Given)18 = 6x (Addtion property of equality)3 = x (Division property of equality)Step-by-step explanation:
Given - This is the start of the proof. Use this for the information given from the start.
Addition property of equality - Use this when adding terms on both sides of an equation.
Division property of equality - Use this when dividing terms on both sides of an equation.