Step-by-step explanation:
Shop charges =13
Many left for renting bike = 45-13 =$32
If renting for 1hr cost $8
then renting for X Hrs will cost $32
1/X =8/32 cross multiplying
8X= 32
X= 32÷8= 4hrs
1) To solve this system of equations by elimination, what operation could be used to eliminate the y-variable and find the value of x?
2x - 4y = 6
-3x + 3y = 12
A) add 3 times the second equation to 4 times the first equation
B) add 4 times the second equation to 3 times the first equation
C) subtract 3 times the second equation from 4 times the first equation
D) subtract 4 times the second equation from 3 times the first equation
PLEASE HELP!!!
Answer:
Option B is correct.
add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
Answer:
B) add 4 times the second equation to 3 times the first equation
Step-by-step explanation:
So you have these two equations:
2x - 4y = 6
-3x + 3y = 12
In order "to solve this system of equations by elimination" we want to make BOTH of the equations have a term (in this case the y term) and have the same coefficient (that's the number right next to the y) If they are the exactly same number, even the same sign in front, then we would subtract the equations. If they have the same coefficient but different signs, then we would add the equations. This will eliminate the y term completely. So in order to make them have the same coefficient. We'll multiply the first equation by 3 and the second equation by 4
3(2x - 4y = 6)
4(-3x + 3y = 12) multiplying all the way across the equation (distributing)
We'll get
6x -12y = 18
-12x + 12y = 48 Then you are actually adding from the top, down and get one equation from adding the two existing ones together.
-6x = 66 And then you are able to solve it by dividing both sides by -6 to get
x = -11
You can then use either equation and x = -11 to find y. Your solution is the x, y pair. You can check it by putting the x and y into both equations and finding it makes a true statement in both.
How much pizza will each person get if 4 people share
of a pizza equally?
A)1/3
B)1/4
C)1/6
D)3/16
Answer: B)1/4
Step-by-step explanation: If you divide a pizza into 4 pieces, each person will get a fourth of the pizza.
A town’s population increases at a constant rate. In 2010 the population was 56,000. By 2012 the population had increased to 81,000. If this trend continues, predict the population in 2016.
The approximate population in 2016 is 91, 604 population
Let the time taken by the population to increase be "t"Let the number of the population be PThe exponential equation representing the statement is [tex]P=P_0e^t[/tex]
If in 2010 the population was 56,000, then at t = 0, P0 = 56000Substituting into the formula will give:
P = 56000If by 2012 the population had increased to 81,000, then:
81000 = 56000e^12k
81000/56000 = e^12k
1.4464 = e^12k
ln1.4464 = 12k
0.3691 = 12k
k = 0.3690/12
k = 0.03076
Get the prediction of the population in 2016.
[tex]P = 56000e^{16(0.03076)}\\P=56000e^{0.49213}\\P = 56000(1.6357)\\P = 91,603.70[/tex]
Hence the approximate population in 2016 is 91, 604 population
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Write the equation in standard form.
y - 10=-2(x-8)
Answer:
2x + y = 26
Step-by-step explanation:
The standard form of a linear equation is A x + By = C.
Simplify -2(x - 8)
Multiply -2 by -8
y - 10 = -2x + 16
2x + y - 10 = 16
Add 10 to both sides.
Add 16 and 10
Answer= 2x + y = 26
what is 130mins into hours and minutes?
Answer:
Step-by-step explanation:
1 Hour = 60 minutes
60 + 60 = 120 minutes
120 minutes = 2 hours
Add 10 minutes
2 hours 10 minutes = 130 minutes
if 10 people share 5 cookies , how much cookie does each person get
Answer:
1/2
Step-by-step explanation:
5 / 10 = 1/2
Find the area of this parallelogram
Answer:
260
Step-by-step explanation:
A=bh
A=13 x 20
A=260
How do I subtract fractions? Please explain step by step to get marked!
Answer:
Explained below :)
(I tried my best, sorry if it doesn't make sense.)
Step-by-step explanation:
Example: 1/4 - 1/8= ?
1: Find the common denominator (bottom number)
2: If the common denominator is 8 then you multiply 1/4 by 2/2 to get the denominator of 8. If you needed then you can multiply the other fraction to get the same denominator.
3: Once you get multiply that then you get 2/8 -1/8.
4: Subtract the numerator (top number) 1
5: Keep the numerator (8)
6: Your answer would be 1/8
Principal = $ 15000, rate = 10% p.a. and time
21/5 years
PLS HELP ASAP
Answer:
Simple Interest: A=P(1+rt)
A=15000(1+(0.1*4.2))
A=$21,300
Compound Interest:A=P(1+r/n)^nt
A=15000(1+0.1/4.2)^1*4.2
A=$64,500
Step-by-step explanation:
Which expression shows how 8⋅54 can be rewritten using the distributive property?
4⋅50+4⋅4
50⋅8+50⋅4
8⋅50+8⋅4
8⋅50+8⋅54
Answer:
8 • 54=8 • 50 + 8 • 4
Option C is the right answer
Step-by-step explanation:
Answer:
C I think, sorry if I'm wrong
Morgan had 1/2 a box of candy left after the movie she ate 1/2 of that. On the way home and still had 8 pieces left. She give one to her Little brother. How many pieces of candy were in the box when Morgan bought it?
Answer:
16
Have a good day <3
the lcm of 5 and 8 is??
Mary charges $5.60 per square foot of carpet, plus a $150 installation fee. How much should Mary charge the customer to the nearest cent?
Answer:
Step-by-step explanation:
Total = t
Square feet = f
t = 5.6f + 150
you didnt say how many square feet the customer wanted, but just plug it in for f and t is the answer
Answer:
375.30
Step-by-step explanation:
it's 375.302 but simplified to 375.30
The ratio 5/8 to 10/9 has a unit rate of 9/16
True or false
Answer:
This is false.
Step-by-step explanation:
The easiest thing to do is notice that 8 goes into 16 whilst 9 doesn't so that shows 9/16 would not be the unit rate.
The ratio 5/8 to 10/9 has a unit rate of 9/16 is false.
What is a unitary method?A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.
Given are two ratios 5/8 and 10/9.
The unit rate of (5/8) is (5/8)/(8/8) = 5/8 = 0.625 similary the unit rate of the ratio 10/9 is 1.11.
Now, the unit rate of 9/16 is 0.5625 which is not in the range of two ratio's unit rates.
learn more about the unitary method here :
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Fill in the blanks so that the equation has infinitely many solutions.
5y + 6 + 7y = blank (6y + blank)
Answer:
5y +6 +7y = 2 (6y + 3 )
Step-by-step explanation:
We can name the blanks 'a' and 'b'. Then we have ...
5y +6 +7y = a(6y +b)
This will have infinitely many solutions when both sides simplify to the same expression.
12y +6 = 6ay +ab
To have these expressions be the same, we must have ...
12 = 6a . . . . same coefficient of y
6 = ab . . . . same constant
The first of these equations tells us ...
a = 12/6 = 2
Then the second equation tells us ...
b = 6/a = 6/2 = 3
The equation with the blanks filled in is ...
5y +6 +7y = 2 (6y + 3 )
Seven values on the number line above are marked with letters. Which letters represent integers?
Simplify the ratio:
42 : 28 : 21
Please explain step by step to get marked as brainliest!
Answer:
6:4:3
Step-by-step explanation:
Use 7 to simplify
HELLLLPPPP QUICKKLLLYYYY PLLZZZ VIEW THE QUESTION IN THE PHOTO ATTACHED!!!!
Answer:
[tex]\sqrt{18a}[/tex]
Step-by-step explanation:
To insert the factor, you must first find its squared value, in this case, 3's squared number is 9 so.....[tex]3=\sqrt{9}[/tex]
Now with square roots, they multiply like any other number
so you end up with[tex]\sqrt{9}*\sqrt{2a} \\\sqrt{9*2a}\\\\\sqrt{18a} <------ ANSWER[/tex]
Please leave a thanks!!!
How to find the inverse of 3log3(x+3)+1. Its with a base of 3
Let [tex]f^{-1}(x)[/tex] be the inverse of
[tex]f(x) = 3 \log_3 (x + 3) + 1[/tex]
Then by definition of inverse function,
[tex]f\left( f^{-1}(x) \right) = 3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
Solve for the inverse :
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) + 1 = x[/tex]
[tex]3 \log_3 \left(f^{-1}(x) + 3\right) = x - 1[/tex]
[tex]\log_3 \left(f^{-1}(x) + 3\right) = \dfrac{x - 1}3[/tex]
[tex]3^{\log_3 \left(f^{-1}(x) + 3\right)} = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) + 3 = 3^{\frac{x-1}3}[/tex]
[tex]f^{-1}(x) = 3^{\frac{x-1}3} - 3[/tex]
Do not round the answer
Answer:
75.36
Step-by-step explanation:
Using the formula C = 2πr, we can calculate circumference.
Since we are using 3.14 for π, we plug that and the radius in.
C = 2(3.14)(12).
When you multiply all that you get 75.36
Write an equation but do not solve to show how many letters, L, it would take for these two trophies to cost the same amount.
Answer:
12 + 0.40L = 14.75 + 0.25L
Which theme is found in this story The Lucky Ticket
Answer:
In "The Lottery Ticket", Chekhov develops the theme that the love of money can destroy one's satisfaction.
Draw the plot
Can someone plz help me with this
well, let's take a peek, hmmm the length is hmmm, how much is five times "x"? well 5 * x or just 5x, how about four more than that? well, just 5x + 4.
we know the width is hmmm how much is three times "x"? 3*x or just 3x, how about 2 less than that? 3x - 2.
Check the picture below.
Answer:
↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑↑^
if 7 men and 5 womean have applied for job and 3 applicants are randomly selected from the probability that 2 are men
The probability that 2 men are selected is 49/144
Probability is the likelihood or chance that an event will occur.
If 7 men and 5 women have applied for job, the total number of people that applied will be 12 people
Pr(2 men are selected) = 7/12 * 7/12Pr(2 men are selected) = 49/144Hence the probability that 2 men are selected is 49/144
Learn more on probabaility here:https://brainly.com/question/24756209
Hey mathematicians ! Can anyone help me with these problems please ! Will give brainly !
Answer:
77) YES , 78) YES , 79) NO , 80) YES
Step-by-step explanation:
77) 12/4=3 and 18/6=3 so YES
78) 30/6=5 and 40/8=5 so YES
79) 36/25=1.44 and 48/40=1.2 so NO
80) 15/5=3 and 13.8/4.6=3 so YES
Which equation best matches the graph shown below?
Answer:
y= 10x² + 7x + 2.8
Step-by-step explanation:
because the 10x was used twice then the it went to the line of 7x and went down to 2.8 then for the second time it went to 10x
Answer:
-10x^2+7x+4 Would be the correct option
Please thank my question. :)
Does the expressions
[tex] \sqrt{100 - 64} [/tex]
and
[tex] \sqrt{100 - \sqrt{64} } [/tex]
have the same value?
Answer:
No. they have a difference in value
the first ans is 6 while the second gives 9.56
*WHOEVER SOLVES THIS RIGHT WILL GET BRAINLIEST*
Question: 67-32x=54-34 solve for X.
67-32x= 54-34
Subtract 54-34
you would get 20
67-32x= 20 (subtract 67 from both sides of the equation )
-67 -67
-32x/-32= -47/-32 (Divide -32 on the both sides )
You get a decimal :
x= 1.46875
Round this answer:
x= 1.5
Answer:
x = 47/32 or 1.46875 ( 1.5 rounded)
Step-by-step explanation:
1) Simplify 54 - 34 to 20.
67 - 32x = 20.
2) Subtract 67 from both sides.
-32x = 20 - 67.
3) Simplify 20 - 67 to -47.
-32x = -47.
4) Divide both sides by -32.
x = -47/-32.
5) Two negatives make a positive.
x = 47/32
Two cities, A and B, are mapped on the coordinate plane. How far apart are they from each other?
I can’t help because I can’t see the coordinate plane.
What is the value of x
Answer:
5"
root4square+3square=root25
=5