Answer:
He would pay $287 if he races 39 times
Thus, the membership fee is $14.
Step-by-step explanation:
Linear Modeling
The situation described in the problem can be modeled as the equation of a line which has the form:
[tex]y=ax+b[/tex]
Where y is the cost of the course, x is the number of races, a is the cost per race, and b is the membership fee.
We know the course charges $7 per race, so a=7. Since your friend has raced x=28 times and paid y=210, we can find the value of b:
[tex]210=7(28)+b[/tex]
Operating:
[tex]210=196+b[/tex]
b=14
Thus, the membership fee is $14.
The linear model is now:
[tex]y=7x+14[/tex]
If he races x=39 times, your friend would pay:
[tex]y=7(39)+14=287[/tex]
y=287
He would pay $287 if he races 39 times
-16/128 simplified + (3/2 + 43/23) = ?
Answer:
3.245
Step-by-step explanation:
Answer:
YES I ANSWERED IT
Step-by-step explanation:
THX I GOT 100 POINTS :)
A coconut tree has 12 coconuts on it if 25% of them fell to the ground how many fell
Answer:
3
Step-by-step explanation:
25% of 12 is 3
hope it helps
Answer:
3
Step-by-step explanation:
25% of anything is also 1/4 of the whole number. Its easier (atleast for me) to make percentages into fractions to make it easier to find the answer. if you were to make 12 a fraction it would look like 12/1 and when we subtract the 1/4 of coconuts it would be 3.
A farmer finds that if she plants 50 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each additional tree planted per acre, the yield of each tree will decrease by 3 bushels. How many trees should she plant per acre to maximize her harvest?
Answer:
28
Step-by-step explanation:
From the given information:
Let x be the number of trees.
F(x) = (50 +x) (20 - 3x)
F(x) = 1000 - 150x + 20x - 3x²)
F(x) = -3x² - 130x + 1000
Differentiating F(x) with respect to x;
[tex]F'(x) = \dfrac{d}{dx}( -3x^2- 130x + 1000)[/tex]
[tex]F'(x) = ( -3(2x)- 130(1) +0)[/tex]
F'(x) = -6x -130
Now; we set F'(x) to be equal to zero to determine the critical value;
-6x - 130 = 0
x = - 130/6
Differentiating F''(x) with respect to x
[tex]F''(x) = \dfrac{d}{dx}( -6x- 130)[/tex]
[tex]F''(x) = ( -6(1))[/tex]
F''(x) = -6 (<0)
Thus; by the second derivative, the revenue function F(x) is maximum when x = -130/6
Therefore, the number of trees she should plant per acre to maximize her harvest is:
50 + x = 50 - 130/6
= 85/3
[tex]\simeq[/tex] 28
Therefore, the number of trees per acre to maximize the harvest is 28
Dan's school is selling tickets to a play. On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69. The school took in $150 on the second day by selling 7 adult tickets and student tickets How much is a student ticket?
Answer:
Let's define the variables:
A = price of one adult ticket.
S = price of one student ticket.
We know that:
"On the first day of ticket sales the school sold 1 adult ticket and 6 student tickets for a total of $69."
1*A + 6*S = $69
"The school took in $150 on the second day by selling 7 adult tickets and student tickets"
7*A + 7*S = $150
Then we have a system of equations:
A + 6*S = $69
7*A + 7*S = $150.
To solve this, we should start by isolating one variable in one of the equations, let's isolate A in the first equation:
A = $69 - 6*S
Now let's replace this in the other equation:
7*($69 - 6*S) + 7*S = $150
Now we can solve this for S.
$483 - 42*S + 7*S = $150
$483 - 35*S = $150
$483 - $150 = 35*S
$333 = 35*S
$333/35 = S
$9.51 = S
That we could round to $9.50
That is the price of one student ticket.
polly the carrot has learned to say "polly wants a cracker." if she says it every five minutes for two hours and gets a cracker to eat each time, how many crackers will polly eat?
Answer:
24
Step-by-step explanation:
(60 × 2 ) ÷ 5 = 24.
60 because hour is 60 minutes
× 2 because she says it for 2 hours
÷ 5 because she says it every 5 minutes
If Kishan wanted to average a 90% for the term and on his first four tests he got an 83, 94, 88, and 85, what would he have to get on the fifth test in order to meet his goal?
Answer:100%
Step-by-step explanation:
83+94+88+85+100=450
450/5=90% average
The temperature in Allenville fell from 25°F to -23°F in 8 minutes. What's the average change in temperature per minute?
Answer:
6 Degrees per minute
Step-by-step explanation:
25 + 23 = 48
48 divided by 8 = 6
The area of a rectangle is 72 square metres. The length of the rectangle is twice the width. Find the width of the rectangle.
Help please! I’ll give brainliest!
Answer:the last one
Step-by-step explanation:
PLEASEE HELP IM BEGGING YOU
Answer: god it's hard, but i will try
Gina wants to make
hamburgers for 12 people.
Her recipe serves 8 people
and calls for 4.5 pounds of
ground beef. How much
ground beef should
Gia purchase?
h
Answer:
6.75 pounds
Step-by-step explanation:
This question is of direct variation. We will use x as our answer. 8 is 2/3 of 12, so 4.5 should be 2/3 of x. We can now make an equation.
[tex]4.5=\frac{2}{3} x\\4.5*\frac{3}{2} =\frac{2}{3} x*\frac{3}{2} \\6.75=x[/tex]
In order to solve the equation, we multiply both sides by the reciprocal of 2/3, which is 3/2.
* stands for multiplication
From solving our equation, we get 6.75. We can't forget the units, so the answer is 6.75 pounds.
What is 8 divide 1/5?
What is 8 divide by 1/5
Answer:
40
Step-by-step explanation:
a qUICK ALGEBRA QUESTION FOR Y'ALL FOR A POSSIBLE QUIZ CORRECTION OF MINE. i got 6,,, wish y'all got 6 too so i'm not alone :"DDD
IF X = -2
-x2 + 2
Find the % of increase or decrease 92 lb to 200 lb
Answer:117.391304347826%
Step-by-step explanation:
A jogger is running home. His distance from home, as a function of time, is modeled by y=-7x +8.
Which statement best describes the function?
A. The function is nonlinear.
B. Not enough information is given.
C. The function is linear at some points and nonlinear at other points.
D. The function is linear.
Answer: the function is a liner
Step-by-step explanation: trust
Jamie was working on his math homework with his friend, Kent. Jamie looked at the following problem.
−9.5 − (−8)− 6.5
He told Kent that he did not know how to subtract negative numbers. Kent said that he knew how to solve the problem using only addition. What did Kent mean by that? Explain.
Answer:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.
Step-by-step explanation:
When subtracting a negative number, the two subtractions signs cancel out to be a positive.So, -9.5 - (-8) - 6.5 = -9.5 + 8 - 6.5I hope this helps!
simplify
y = -1x - 1
pls hurryyyyyyy
you finance a $12,000 condo renovation completely on credit and you will just pay the minimum payment each month for the next few months. The APR is 18.99% and the minimum payment each month is 5% of the balance. Determine the finance charge, carry-over balance, and minimum payment required for each of the next two months, and the starting balance for month 2 in the table below.
Answer:
For Month 1, we have:
Carry-over balance = $12,000.00
Finance charge = $189.90
New balance = $12,189.90
Minimum payment = $609.50
For Month 2, we have:
Carry-over balance = $11,580.41
Finance charge = $183.26
New balance = $11,763.66
Minimum payment $588.18
Step-by-step explanation:
Note: This question is not complete. The complete question is therefore provided before answering the question. See the attached pdf file for the complete question.
The explanation to the answer is now given as follows:
Note: See the attached excel file for calculations of the finance charge, carry-over balance, and minimum payment required for each of the next two months.
In the attached excel file, the following formulas are used:
r = Monthly percentage rate = APR / 12 = 18.99% / 12 = 1.5825%
Carry-over balance of the current month = New balance of the previous month - Minimum payment of the previous month
In March it rained 8.23 inches. It rained 5.96 inches less in April than in March.
How much did it rain in April?
write two numbers that multiply to the value on top and add to the value on bottom.
top number : 56
bottom number:-15
Answer:
7 x 8 = 56
-3 x -5 or -5 + -5 + -5 = -15
Step-by-step explanation:
The numbers that result in the top and bottom numbers are: -7 and -8
System of Linear EquationsSystem of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
You should convert the given text into linear equations.
x*y=56 (1)
x+y=-15 (2)
For equation 2, you have x=-15-y. Thus, you can replace this variable into equation 1.
(-15-y)*y=56
-15y-y²=56
-y²-15y-56=0
You find a quadratic equation. Solving this equation:
[tex]y_{1,\:2}=\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\left(-1\right)\left(-56\right)}}{2\left(-1\right)}\\ \\ y_{1,\:2}=\frac{-\left(-15\right)\pm \:1}{2\left(-1\right)}\\[/tex]
[tex]y_1=\frac{-\left(-15\right)+1}{2\left(-1\right)}=-8\\ \\ y_2=\frac{-\left(-15\right)-1}{2\left(-1\right)}=-7[/tex]
For equation 2,
For y=-8x+y=-15
x+(-8)=-15
x=-15+8=-7
For y=-7 x+y=-15 x+(-7)=-15x=-15+7=-8Read more about the quadratic function here:
brainly.com/question/1497716
#SPJ2
simplify 3(12 - 8) + 5
Answer:
17
Step-by-step explanation:
The value of the given linear expression 3(12 - 8) + 5 is 17.
What is a linear equation?
A linear expression is an expression in which the highest power of the variable is always 1. If there is no variable, we can assume the power of the variable as 0.
Therefore, the variable x⁰ = 1.
Given linear expression:
3(12 - 8) + 5
= 3 × 4 + 5
= 12 + 5
= 17
Learn more about linear expression here: https://brainly.com/question/1955739
#SPJ2
Which Statement about 4(x-3) is True? Giving Brainliest
Answer:
A I think that is the ans
Juan got grades of 68 and 73 on his first two math tests. What grade must he get on the third test if all were weighted equally and he wants to raise his grade to a 75 average?
Answer: 84
Step-by-step explanation: Multiply 75 by 3. That is 225, and is the value the three numbers must add up to. 73+68=141. 225-141 is 84.
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar.
Use digits to write the value of the 9 in this number.
139,648
Help??
Anyone??
Need it in 3 min
7th grade math
Mary keeps track of how much time she goes running each week for 10 weeks. the frequency table with the data she collected. How many hours did mary spend running?
Answer:
One bad b, and she do what I say so
Two big .40s and a big a Draco (two, boom, boom)
Three more millions when you ask how my day go
Poured up a 4, now that's blueberry Faygo
One false move, and we straight to shooting s
Two small bands just to take you out real quick (bands)
Three more h, pull up, I'm f s
That's how it go, big bands, I'm thumbin' s (that's how it goes)
One bad b, and she do what I say so (yeah, gang)
Two big .40s and a big a Draco (two)
Three more millions when you ask how my day go
Poured up a 4, now that's blueberry Faygo
One false move, and we straight to shooting s
Two small bands just to take you out real quick (bands)
Three more h, pull up, I'm f s
That's how it go, big bands, I'm thumbin' s
I'm with my n*yeah, we some rockstars
And I'm with my n yeah, KK Wokhardt (KK Wokhardt)
This not my d, lil' b, my Glock hard (lil' b)
Straight to the cash, I'm a trapstar (cash)
Straight to the bag, I'm that n, huh (bag, oh)
Got me some gas, rollin' up some
Fft, fft, cash, yeah, I got me some
I ain't f her yesterday (yeah)
I'ma f some
One bad b , and she do what I say so
Two big .40s and a big a Draco (two, boom, boom)
Three more millions when you ask how my day go
Poured up a 4, now that's blueberry Faygo
One false move, and we straight to shooting s
Two small bands just to take you out real quick (bands)
Three more h, pull up, I'm f s
That's how it go, big bands, I'm thumbin' s (that's how it goes)
3-0 clip in my Nina (oh, oh)
On my toes, Gucci, Valentino (yeah, b)
She on go, your b f the team, uh (lil' b )
'Cause you know your b want a winner (winner)
I just went back to my city (to my city)
And you know they all f with me (big hands)
But it ain't safe, h with me (h)
I'ma chase bands 'til they end me
One bad b, and she do what I say so
Two big .40s and a big a Draco (two, boom, boom)
Three more millions when you ask how my day go
Poured up a 4, now that's blueberry Faygo
One false move, and we straight to shooting s
Two small bands just to take you out real quick (bands)
Three more h, pull up, I'm f s
That's how it go, big bands, I'm thumbin' s (that's how it goes)
One bad b, and she do what I say so (yeah, gang)
Two big .40s and a big a Draco (two)
Three more millions when you ask how my day go
Poured up a 4, now that's blueberry Faygo
One false move, and we straight to shooting s
Two small bands just to take you out real quick (bands)
Three more h, pull up, I'm f s
That's how it go, big bands, I'm thumbin' s
Step-by-step explanation:
How much of an alloy that is 30% copper should be mixed with 50 ounces of an alloy that is 60% copper in order to get an alloy that is 40% copper?
Answer: 180 i think
Step-by-step explanation: .5*200+.2X=.3(200+X)
100+.2X=60+.3X
.2X-.3X=60-100
-.1X=-40
X=-40/-.1
X=400 OUNCES OF 20% COPPER.
PROOF
.5*200+.2*400=.3(200+400)
100+80=.3*600
100+80=180
180=180
Answer: 100 ounces of the alloy.
Step-by-step explanation: To solve, we create an equation:
First, though, let's define some variables and values -
x = amount of the alloy we are trying to find
0.3 = 30% copper
0.6 = 60% copper
50 = 50 ounces of the alloy
0.3(x) + 0.6(50) = 0.4(x+50) - original equation
0.3x + 0.6*50 = 0.4x + 0.4*50 - expanded
subtract 0.3x and 0.4*50 on both sides to get...
0.2*50 = 0.1x - simplified
calculate...
10 = 0.1x - simplified
divide both sides by 0.1 to get...
100 = x --> x = 100
Clare ran 4 miles on Monday. Then for the next six days, she ran the same distance each day. She ran a total of 22 miles during the week. Which tape diagram represents this situation?
Answer:
In a week we have 7 days.
On the first day, Clare runs 4 miles.
On the other six days, she runs the same distance, let's call it D.
In total, she runs 22 miles.
Then:
4mi + 6*D = 22 mi
6*D = 22mi - 4mi = 18mi
D = 18mi/6 = 3mi.
Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:
[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]
Where each "-" represents one mile.
Answer:
3 miles
Step-by-step explanation:
please draw a graph thank you!!!
Answer:
x is greater than or equal to 3. A closed circle dot on 3, with the arrow and closed dot going left from 3, towards the negative region.
What is the x-intercept of
3x – 4y = 242
Answer:
x=242/3
alternative form= 80 2/3, x=80.6
Step-by-step explanation:
3x-4y=242
substitute y = 0
3x-4x0=242
calculate the product
3x-0=242
remove 0
3x=242
divide both sides (by 3 in order to leave x by itself)
done
