Answer: $1.50r + $6
Step-by-step explanation:
1.50 times 7 is $10.5 without admission
1.50 times 10 is $15 without admission
(R for rides)
so $1.50r + $6 is the equation
PLEASE HURRY<33
Graph the following piecewise function. f(x)={x^2+2 if -5
The graph for the first is line segment joining (x, y) = (−2,−4)and (2, 4), sans the end points. The second part is the line through (-2, -6) and (-3, -9), from (-2, -6), excepting (-2, -6). ..
Step-by-step explanation: you are using y for the piecewise function.
Find the least number which when divided by 12 and 16 leaves the reminder 3 and 7 respectively. Plzz help in this question
==============================================
Explanation:
Let n be the number we want to find. We want n to be as small as possible, but also be a positive integer. Intuitively, we can see that n cannot be smaller than 16; otherwise, we don't meet the remainder requirements.
Divide n over 12 and we get some quotient x and remainder 3
So,
n/12 = (quotient) + (remainder)/12
n/12 = x + 3/12
Multiply both sides by 12 to end up with
n = 12x + 3
Similarly, if we divide over 16 we get some other quotient y and remainder 7
n/16 = y + 7/16
which turns into
n = 16y + 7
after multiplying both sides by 16
-----------
We have these two equations
n = 12x+3n = 16y+7Apply substitution and do a bit of rearranging like so
12x+3 = 16y+7
12x-16y = 7-3
4(3x-4y) = 4
3x-4y = 4/4
3x-4y = 1
The goal from here is to find the smallest positive integers x and y that make that equation true. We have a few options here and they are
Guess and check: We have a small sample size to work with so it shouldn't take too long. Make a table of xy values where you have x along the top row and y along the left column. Then plug each x,y pair into the equation above to see if you get a true statement or not. Again, keep in mind that x and y are positive integers. Graphing: Graph the line 3x-4y = 1, which is the same as y = (3/4)x - 1/4 and note where the line lands on a lattice point. Focus on the upper right quadrant of the graph. This quadrant is above the x axis and to the right of the y axis.Extended Euclidean Algorithm: This method is the most efficient, but it's only useful if your teacher has gone over it.Whichever method you use, you should find that (x,y) = (3,2) is the point we want.
Note how:
3x-4y = 1
3(3)-4(2) = 1
9-8 = 1
1 = 1
So that verifies (3,2) is on the line 3x-4y = 1.
Because x = 3 and y = 2, we know that
n = 12x + 3
n = 12*3 + 3
n = 39
and we can see that
n = 16y + 7
n = 16*2 + 7
n = 39
So 39 is the smallest such integer such that when we divide it over 12 and 16, we get remainders 3 and 7 respectively.
Here's a quick verification that we've fit the requirements.
39/12 = 3 remainder 3
39/16 = 2 remainder 7
We know we hit the smallest value of n because (x,y) was made to be the smallest positive integer solution to 3x-4y = 1. There are infinitely many positive integer (x,y) solutions to 3x-4y = 1, which in turn means there are infinitely many numbers n that satisfy the remainder conditions (but n is not the smallest possible in those cases).
Will mark first and correct answer brainliest:)
Answer:
x=19
Step-by-step explanation:
add together (8x-7) and (x+16) and set them equal to 180 because they are supplementary
and solve for x using your new equation
6. When 4 times the number x is added to 12, the result is 8. What number results when 2
times x is added to 7?
Answer: 5
Step-by-step:
1. set up equations : 4x+12=8 and 2x+7=?
2. solve for x in the first eq.
4x + 12 = 8
4x = -4
x = -1
3. plug x = -1 into 2x+7=?
2 ( -1 ) + 7 =
-2 + 7 =
5
Which table of ordered pairs represents a proportional relationship? I’m a timer please hurry thank you so much
х
-3
-4
-5
у
3
2
1
x
-1
-3
-5
у
1
3
5
-2.
-4
-6
y
1-5
1-7
-9
х
--2
-3
-4
у
0
-1
1-2
I
Answer:
I'd say the second one. the others are all showing a linear relatiknship
que expresision algebraica es P (x)=3x - 5x +6?
I rlly need help with this if you answer correctly I'll mark you as brainliest so pls answer correctly pls and ty
Please quick! I need it by now.
Answer:
Yes
Step-by-step explanation:
What we know:
The watch has a 90-day warranty.
A week has 7 days.
6 weeks have 42 days.
To solve:
90 day warranty - 42 days of the 6 weeks = 48 days of warranty still left.
Note:
Hope it helps!
A pool can be filled by one pipe in 8 hours and by a second pipe in 9 hours. How long will it take using both pipes to fill the pool?
Derek has a bank account that pays 4.1% simple interest. He deposits $910 and leaves it in for 2.5 years. How much interest does he earn.
Answer:
After 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Step-by-step explanation:
Given that Derek has a bank account that pays 4.1% simple interest, and he deposits $ 910 and leaves it in for 2.5 years, to determine how much interest does he earn, the following calculation must be performed, knowing that simple interest is not added to the initial capital:
(910 x 0.041) x 2.5 = X
37.31 x 2.5 = X
93.275 = X
Thus, after 2 and a half years, Derek's bank account will have earned interest of $ 93.27.
Multiply. Write your answer in simplest form.
7 x 3/4
Answer:
5.25
Step-by-step explanation:
7x3 = 21
21/4 = 5.25
Answer:
5 1/4
Step-by-step explanation:
Tony is trying to find the solutions to the quadratic equation 3x2 + 24x - 15 = 0 by factoring and
has come to you for help. Explain why Tony would need to use a method other than factoring to find
the solutions to this equation.
DO NOT SOLVE and be specific in your explanation.
В І у
0 / 1000 Word
Answer:
You would either need to complete the square, use the quadratic equation, or another method because when reduced by the common factor, the constant term c is prime which means that it is only divisible by one and itself. Because the possible rational factors determined by c do not add up to the b term, it cannot be factored.
Explanation:
3x² + 24x - 15 = 0
3(x² + 8x - 5) = 0
[find the greatest common factor between each term and move the coefficient outside of the expression; in this case it's 3 since 3 fits into numbers 3, 24, and -15 so that it cannot be reduced further]
Then you can either use the box or pq method (since a is 1) to find working factors.
x² + bx + c → (x + p)(x + q).
p + q = b.
pq = c.
In this case with 3(x² + 8x - 5), b is 8 and c is -5.
This means we need two numbers that add up to 8 and multiply to -5.
Since -5 is prime, our only options are ±1 for p and ∓5 for q. This is because these are the only factors which multiply to -5.
1 + -5 = -4 ≠ 8
-1 + 5 = 4 ≠ 8.
Since we cannot find rational solutions, this cannot be factored, and so we must use another method.
find the square root of 14+6√5
Answer:
3 + √5
Step-by-step explanation:
Find the square root of 14+6√5
Change to √ ( 14 + 6√5 ) = √x + √y
1️⃣ Square.
14 + 6√5 = x + y + 2√xy
14 + 2√45 = ( x + y) + 2√xy
2️⃣ Compare.
(x + y) = 14
xy = 45
3️⃣ Solve.
(x - y)² = (x+y)² - 4xy
( x - y)² = 14² - 180
( x - y)² = 196 - 180
( x - y)² = 16
( x - y) = 4
x + y = 14
x - y = 4
2x = 18
x = 9 .
y = 5 .
14 + 6√5 = √9 + √5 = 3 + √5 .
Answer: 3 + √5 .
Done ✔
Answer this correctly I’ll give brainalist + 10 points
How can you write and solve an addition or subtraction equation?
Answer:
What equation...................wait nvm
What is 7.456283 rounded to the nearest hundred thousandths place?
The answer will be 7.45628
Please help ..........
Find the sum or difference. Write your answer in simplest form
3/8 + 1/4
Answer:
5/8
Step-by-step explanation:
5/8 which is in simplest form
Answer:
5/8
Step-by-step explanation:
3/8+1/4 = 3/8+2/8 = 5/8
Gary spent 55 hours in two weeks working on the same to project she worked 32 hours the first week right and solve an addition equation to find amount of time she's been working on the second week
Answer:
If Zaira spent 32 hours in the first week. We subtract 32 from 55. 55-32=23. That means she worked 23 hours in the second week.
Which statement about the reflection below is true?
Answer:
Can you show us the statements?
Step-by-step explanation:
A study was commissioned to find the mean weight of the residents in certain town. The study found the mean weight to be 150 pounds with a margin of error of 10 pounds. Which of the following is a reasonable value for the true mean weight of the residents of the town?
Answer:
156.7
Step-by-step explanation:
The equation a2 + b2 = ca represents the relationship between the three sides of a right triangle.
Hal leans a ladder that is 26 feet long against the side of a building. The base of the ladder is 10 feet from the side of the building.
How high up the side of the building is the top of the ladder?
A 24 feet
B 22 feet
C 28 feet
D 16 feet
Answer:
Step-by-step explanation:
I think you mean a² + b² = c², not ca.
a = 10, c = 26
b² = c² - a² = 26² - 10² = 576
b = √576 = 24 ft
Please need help thank
Answer:
7
Step-by-step explanation:
If each amount of time is a separate person, then 7
Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?
Answer:
2000 minutes on 16 miles
Answer:
168.75 minutes
Step-by-step explanation:
Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.
Recalling that distance = speed times time, we recognize that
time = distance / speed
which here is
(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec
PLEASE HELP ITS DONE IN 8 HOURSS!!!!!!
what is the amount returned on a deposit of $1,000 held for 2 years at 10% interest compound annually?
Answer:
since its 10%percent annualy(compound interest),at the end of 1year it would be 1000+(1/10 *1000)that is 1100,then for the second year it would be 1100+(1/10 * 1100)that is 1210.please mark me as brainliest
builder is buying property where she can build new houses. The line plot shows the sizes of the lots for each house. What is the average size of the lots?
Answer:
I think she put it in the 2nd place because it has the smallest amount of x's , and 1 and 3 has more
2 2/3 divided by 1/3?
Answer:
8
Step-by-step explanation:
i dont know set by step but m brother give me the answer he is in high school
Someone please help me
State whether each pair of expressions are equivalent. Show your work.
4(5 + g) + 8(4g + 3 i NEED HELP
Answer:
36g + 44
Step-by-step explanation
20+4g+8(4g+3) =
8(4g+3) : 32g + 24 =
20+4g+32g+24 =
20+4g+32g+24 = 36g + 44
I hope this helps you! Have a great day :)