x - y = 15
2x + 8 = 3y - 4
Using the first equation, we can get an approximate value for x.
x = 15 + y
Now that we have a value for x, we can replace it in the second equation to find the value of y.
2(15 + y) + 8 = 3y - 4
Distributive property.
30 + 2y + 8 = 3y - 4
Combine like terms.
38 + 2y = 3y - 4
Subtract 2y from both sides.
38 = y - 4
Add 4 to both sides.
y = 42
Now that we have the value of y, we can find the value of x.
x - 42 = 15
Add 42 to both sides.
x = 57
given the replacement set {0,1,2,3,4} solve 4x - 5 = 11
Riding with the wind at her back, a cyclist takes an hour less time to cover 80 miles than without any wind. Riding with the wind increases the cyclist's speed by 2 miles per hour. What is her speed when riding with the wind?
Answer:
41 MPH
Step-by-step explanation:
Let's assume the original speed with or without, is around 82 miles, within 2 hours.
So in this case, it'd be half the miles, half the hours!
I need help with 40a
Hi, here is the solution...
The Fibonacci series 1, 1, 2, 3, 5, 8, 13, 21, 34...
3rd number = Sum of the first two numbers.
2 = 1 + 1
4th number = Sum of the two numbers before it
That is, 3 = 2 + 1
5th number is 5.
5 = 3 + 2 (Sum of the two numbers before 5).
6th number is 8
8 = 5 + 3
7th number is 13
13 = 8 + 5
8th number is 21
21 = 13 + 8
Therefore, the conjecture is " Each number in the series is The Sum of Two Numbers Before it."
Hope you understand the concept.
Thank you :)
10 Points Please Help
Solve for x. -x + 4 = 32
A) x = -36
B) x = -28
C) x = 28
D) x = 36
x=-28 because the minus sign in front of the x will turn the -28 into positive 28 and 28+4 is 32
Your answer would be B.) x = -28
Is-54/9 an rational number?
A gym hold a 60 minute time exercise class on Saturday a several 45 minute classes during. The week last week all of the classes lasted a total of 285 minutes. Write an equation you can use to find the number of the weekday classes
285=45x+60 because 285 stands alone and its you total. 45x is the its there with the variable x because the it says several
given that g(x)=x^2-3x-6, find (gog)(-3)
(gog)(-3) basically means g(g(-3)).
g(-3) = (-3)^2 - 3(-3) - 6
g(-3) = 12
g(12) = 102
So the answer is 102.
how do you solve this -6 ÷[-3/4]=?
The rule to use: when dividing fractions, invert and multiply.
-6 ÷ -(3/4) equals -6 * -(4/3) which equals 24 / 3 which equals
8
27x$42 answer to the problem
27 x $42 = $1,134
Hope this helps you
-AaronWiseIsBae
60x5= i need this answer
answer: [tex]300[/tex]
work:
[tex]60[/tex]
[tex]5[/tex]
_________
[tex]300[/tex]
hope this helps! ❤ from peachimin
Answer:300
Step-by-step explanation:5 times 0 is 0 6 times 5 is 30 then you get 300
Factor the following completely.
r^2 - 14r -50
The water level at Lake Penny changed −1 1/10 in. this year. Next year, it is predicted to change another −1 2/5 in. What is the total change that will likely occur in 2 years?
Answer:
Total change that will likely occur in 2 years = -2.5 in.
Explanation:
The water level at Lake Penny changed [tex]-1 \frac{1}{10}[/tex] in first year and [tex]-1 \frac{2}{5}[/tex] in in the second year. We need to find total change in the two years.
We know that [tex]a\frac{b}{c}[/tex] can be written as [tex]\frac{ac+b}{c}[/tex]
So [tex]-1 \frac{1}{10}=-(\frac{1*10+1)}{10} )=\frac{-11}{10}[/tex]
[tex]-1 \frac{2}{5}=-(\frac{1*5+2}{5})= \frac{-7}{5}[/tex]
So total change in two years = [tex]\frac{-11}{10}+\frac{-7}{5} =\frac{-11-2*7}{10} =\frac{-25}{10} =-2.5inch[/tex]
Total change that will likely occur in 2 years = -2.5 in.
Answer:
its 2 1/2
Step-by-step explanation:
There is a triangle and the first side is 3m , The second side is 4 - m , and the third side is 2m - 1. What expression would represent the perimeter of the triangle?
perimeter = 4m + 3
the perimeter is the sum of the 3 sides of the triangle, thus
perimeter = 3m + 4 - m + 2m - 1 = 4m + 3
Answer: 4m + 3
Step-by-step explanation:
This is because the perimeter of a triangle is the same as adding all of its sides.
3m+(4-m)+(2m-1)
Group like terms:
(3m-m+2m) + (4-1)
Then combine like terms to get your final answer of:
4m + 3
He gets $200 for showing up and gets paid $15 an hour write a linear equation to represent his earnings
Let H = number of hours worked.
He gets $15 for every hour worked, so you need to multiply 15 by h which is written as 15h
You then need to add that to the $200 he gets for showing up.
Total pay = 15h + 200
write an equation that represents this comparison sentence. 32 is 8 times as many as 4
32=8*4 This is how the equation would be written. Hope I helped :)
The equation that represents this comparison sentence 32 is 8 times as many as 4 is [tex]32 = (8 \times 4)[/tex]
Times also means multiplication
8 times as many as 4 is expressed as [tex](8\times 4)[/tex]
If 32 is 8 times as many as 4, this is expressed as
Hence the equation that represents this comparison sentence 32 is 8 times as many as 4 is [tex]32 = (8 \times 4)[/tex]
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the length of a rectangle is 3 times the width. the area is 27 square centimeters. What is the length?
Hello.
The answer is: 24
length=3*width, this can be written as 3w
area=27 sq cm
Formula for the area of a rectangle=27 (area)= 3w (length) * w (width)
27=3w^2
then divide both sides by 3: 9=w^2
take the square root of both sides to get: w=3
Now that we know what the width is, we can substitute that and find the length: 3w= 3*3=24
have a nice day
Starting at sea level, a submarine descended at a constant rate to a depth of −56 mile relative to sea level in 4 minutes.
What was the submarine's depth relative to sea level after the first minute?
Enter your answer in the box as a fraction in simplest form.
-56mi in 4 minutes is (56mi/4) in 1 minutes = 14mi/minute.
Therefore, the submarine was 14 miles below sea level after 1 minute.
Answer:
The submarine's depth relative to sea level after the first minute is -14 miles.
Step-by-step explanation:
Consider the provided information.
Starting at sea level, a submarine descended at a constant rate to a depth of −56 mile relative to sea level in 4 minutes.
This can be written as:
[tex]-56\ miles=4\ minutes[/tex]
To find the submarine's depth relative to sea level after the first minute, divide both the sides by 4.
[tex]\frac{-56}{4}\ miles=\frac{4}{4}\ minutes[/tex]
[tex]-14\ miles=1\ minutes[/tex]
Hence, the submarine's depth relative to sea level after the first minute is -14 miles.
Solve for x. 8.2x−6.2−7.2x=14 Enter your answer, as a decimal, in the box. x =
Answer is: Solve for x by simplifying both sides of the equation, then isolating the variable.
x = 20.2
sea level is defined as an altitude of 0 ft. A scuba diver dives into the water and, in 3 min, her altitude drops from 0 ft to −126 ft.
What was the diver’s average change in altitude, per minute, for that time period?
A. −348 ft
B. −42 ft
C. 42 ft
D. 348 ft
Share 35$ in the ratio 4:1
35/5= 7
so,
4*7 = 28 1*7= 7
The answer is 28:7
To share $35 in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
Explanation:To share $35 in the ratio 4:1, we first need to find the total number of parts in the ratio by adding the two numbers together: 4 + 1 = 5. Next, we divide the total amount of money ($35) by the total number of parts (5) to find the value of each part: $35 / 5 = $7. Now, we can multiply the value of each part by the corresponding ratio values to find the amount of money each person will receive:
Person 1 (4 parts): 4 * $7 = $28Person 2 (1 part): 1 * $7 = $7Therefore, in the ratio 4:1, Person 1 will receive $28 and Person 2 will receive $7.
A parks and recreation department is constructing a new bike path. The path will be parallel to the railroad tracks shown and pass through the parking area at the point (4,5). Write an equation that represents the path
Answer:
dont listen to answer above me, its supposed to be in slope intercept form, so it is y=4/3x-1/3
and so we have (4,5)
substitute it in and you will have
y=4/3x+b
5=4/3(4)-b
which is
5=16/3-b
b is equal to 1/3
so thats the y int
so the equation will be
y=4/3x-1/3
Step-by-step explanation:
see above
The equation of the proposed bike path would take a similar form to the railroad track (y = mx + c) but adjusted to pass through the point (4,5). Without knowing the slope or y-intercept of the original line (railroad tracks), we cannot provide a specific equation for the bike path.
Explanation:This Mathematical question pertains to the concept of linear equations in coordinate geometry. The problem involves finding the equation of a line that is parallel to the given railroad tracks and denoted as a two-dimensional path. We don't have information on the slope or y-intercept of the railroad tracks in the question, so for the time being, let's assume that the equation of the railroad track line is y = mx + c where m is slope and c is y-intercept.
Any line parallel to y = mx + c will have the same slope 'm'. The given point (4,5) on the new bike path. Hence the equation of the new bike path will be y - 5 = m*(x - 4). We are unable to provide a specific equation without more details about the railroad tracks line.
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HELP HAVING ALOT OF TROUBLE!!
Hello!
To solve this problem we first need to find the value of each given item.
12^4 is equal to 12·12·12·12, or 20,736
12·12·12·12·12 is equal to 12^5, or 248,832
With this information being provided, it can be said that 12^4 < 12x12x12x12x12
Hope this helps.
A squirrel ran 9 miles in 1 hour. Which expression can be used to determine it's miles per hour? plz help due Tuesday. need a fast correct but short answer! plz.
9miles/hour no expressions to chooses from
9 miles/hour. This shows that a squirrel's pace is 9 miles per hour. There is no expression to determine it. It is already in miles per hour form as stated in the question.
if kyle is from texas then he is a football fan. Kyle is from texas. Is there a valid conclusion? if yes, what is it?
The logic of a conditional statement ('if-then') is followed here. Given 'If Kyle is from Texas, then he is a football fan' and 'Kyle is from Texas', we can validly conclude 'Kyle is a football fan'.
Explanation:The statement 'if Kyle is from Texas then he is a football fan' is known as a conditional statement in logic. Conditional statements have an 'if' part (the hypothesis) and a 'then' part (the conclusion). In this case, the hypothesis is 'Kyle is from Texas' and the conclusion is 'he is a football fan'. The statement 'Kyle is from Texas' confirms the hypothesis. Therefore, following the logic of the conditional statement, we can conclude that 'Kyle is a football fan'. This conclusion is based on the given condition, in real life, of course, being from Texas doesn't automatically make someone a football fan, but within the confines of this logic, it does.
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Suppose you have 2 1/2 apples. If a student serving consists of 3/4 of an apple, how many students servings( including parts of a serving ) can you make?
A restaurant sells 330 sandwiches each day. For each $0.25 decrease in price, the restaurant sells about 15 more sandwiches. How much should the restaurant charge to maximize daily revenue? What is the maximum daily revenue? Each sandwich is 6$ beforehand...
Answer:
The value that optimizes this inequality is x = 1, since it represents the vertex of the parabola. Therefore, $ 0.25 is the price that must be discounted to maximize revenues
With x = 1 the value of the new income will be = $ 1983.75
Step-by-step explanation:
Revenue with the current sale price is:
6 * 330 = $ 1980
Let's call x the number of times the price of a sandwich decreases, that is, if x = 1 then the price of the sandwich decreases by $ 0.25
Then, the price would be:
Price = (6-0.25x)
Then, if the price is decreased by a factor of x, then the number of sandwiches sold will increase by a factor of 15x. Therefore the number of clients will be:
Sale = (330 + 15x)
Now we need an equation for income. The income will be equal to the sale price, for the number of sandwiches sold
Income = price * sale
Income = (6-0.25x) (330 + 15x)
In order for this restaurant pricing model to be profitable, the revenues with the new sale price must be greater than the revenues with the sale price of $ 6. So:
New income> current income.
[tex](6-0.25x) * (330 + 15x)> 330 * 6\\ (6-0.25x) * (330 + 15x)> 1980[/tex]
The left side of the inequality represents a parabola:
[tex]-3,750x ^ 2 + 7.5x + 1980> 1980[/tex]
The value that optimizes this inequality is x = 1, since it represents the vertex of the parabola. Therefore, $ 0.25 is the price that must be discounted to maximize revenues
The attached image shows the region that satisfies the proposed inequality and the vertex of the parabola:
[tex]x = \frac{-b}{2a}[/tex]
With x = 1 the value of the new income will be = $ 1983.75
Solve: 3(1-2x) > 3-6x
3(1 - 2x) > 3 - 6x use distributive property
(3)(1) + (3)(-2x) > 3 - 6x
3 - 6x > 3 - 6x add 6x to both sides
3 > 3 FALSE
Answer: NO SOLUTION
what is the word for a rational number whose cube root is a whole number
What is 12.2x+50.6y+3(1.4x-2.6y) simplified?
16.4x + 42.8y
Hope this helps & good luck. :)
you are getting ready for a family vacation. You decide to download as many movies as possible before leaving for the road trip. If each movie takes 1 2/5 hours to download, and you downloaded for 5 1/4, how many movies did you download. EXPLAIN PLEASE I NEED HELP!!!!!
If all movies took the same time to download (unlikely), you could download (5 1/4) / (1 2/5) movies
= (21/4) / (7/5) = (21/4)*(5/7) = 15/4 = 3 3/4 movies.
If it takes 1 2 5 hours to download 1 movie, then in 5 1 4 hours, you will download 4 movies.