Answer:
y = 60
Step-by-step explanation:
Given that y varies directly with x then the equation relating them is
y = kx ← k is the constant of variation
To find k use the condition y = 20 when x = 10, then
20 = 10k ( divide both sides by 10 )
2 = k
y = 2x ← equation of variation
When x = 30, then
y = 2 × 30 = 60
Mary bought a shirt on sale for $15.00. The sales tax was 10%. If Mary paid with a $20 bill, what was her change?
A-$4.90
B-$5.00
C-$3.50
D-$1.50
Answer:
Her change was: $3.5
Step-by-step explanation:
Mary bought a shirt on sale for $15.00.
As the sales tax was 10%.
i.e. 10/100 × 15 = $1.5
so the sales tax on $15.00 was $1.5.
Hence, the total cost Mary had to pay to buy the shirt was:
$1.5 + $1.5 = $16.5
As Mary paid with a $20 bill, therefore the change can be calculated as
20 - 16.5 = $3.5.
Therefore, her change was: $3.5
Please tell me the answer if you know I really need help
Answer:
The slope is 6/10
Step-by-step explanation:
Slope is equal to the change in y over the change in x. In this case the change in x was 60 and the change in y was 100.
Lets Solve!
change y/ change x
Substitute the change in y and change in x.
60/100
Simplify
6/10
The slope is 6/10
Compare the pair of fractions. Use < =, or >
2 3/4 ____ 2 4/6
Answer:
2 3/4 > 2 4/6
Step-by-step explanation:
Answer:
2 3/4 < 2 4/6
Step-by-step explanation:
brainlist plz thx
Qual a altura máxima atingida por um projétil cuja trajetória pode ser descrita pela função: h(x) = –4x² + 5, sabendo que h é a altura do projétil e que x é a distância percorrida por ele, em metros?
A))5
B))6
C))7
D))8
E))9
Answer:
A altura máxima é 5
Step-by-step explanation:
Matematicamente, a altura máxima pode ser obtida
A altura máxima é simplesmente o vértice da parábola
Começamos diferenciando a função Isso será -8x
Agora, defina -8x como 0
Isso significa que x = 0
Agora, substitua x = 0 de volta na equação temos
f (0) = -4 (0) ^ 2 + 5
f (0) = 5
A altura máxima é 5
8) What is the image of point (-3,7) after a reflection in the
origin?
1) (3,7)
2) (-3,-7)
3) (3,-7)
4) (7,-3)
Answer:
(3,7)
Step-by-step explanation:
PLEASE HELP ME WITH THIS QUESTION!!
Answer:
+$90;
$1,600
Step-by-step explanation:
The equation, [tex] y = 1600 + 90x [/tex], given to us tells us much about the situation described above.
y = total pay
x = number of copies of Math is fun
1600 = y-intercept, that is the starting value or the pay he gets only if Sam sold 0 copy of Math is fun. That is, when x = 0, y = 1,600.
90 = unit rate or the change in the total pay for each copy of Math is fun that Sam sells.
Therefore, our answers would be:
+$90, and $1,600
Hello, please, I need the answers!! Each year a school booster club holds a dance to raise funds. In the past, the profit of the club makes after paying for the bank and other costs has been modeled by the function p(t) = -16t^2 - 800t - 4000 where t represents the ticket price in dollars. a. What ticket price gives the maximum profit? b. What is the maximum profit? c. What ticket prices would generate a profit of $5000?
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
16t^2 + 800t + 9000 = 0
Answer:
Step-by-step explanation:
Given the profit a club makes after paying for the bank and other costs modeled by the function
p(t) = -16t^2 - 800t - 4000
t is the ticket price
The maximum profit occurs when dp/dx = 0.
dp/dx = -32t-800
since dp/dx
0 = -32t-800
32t = -800
t = -800/32
t = - 25
Hence ticket price gives the maximum profit is $-25
b) to get the maximum profit, substitute t = -25 into the modelled function
p(t) = -16t^2 - 800t - 4000
p(-25) = -16(-25)² - 800(-25)- 4000
p(-25) = -10000+20000-4000
p(-25) = 6000
Hence maximum profit is $6000
c) To get the ticket prices would generate a profit of $5000, we will substitute p(t) = 5000 and find t
p(t) = -16t^2 - 800t - 4000
5000 = -16t^2 - 800t - 4000
-16t^2 - 800t - 4000 -5000 = 0
t^2 + 50t + 562.5= 0
Factorize
-50±√2500-4(562.5)/2
t = -50±√2500-2250)/2
t = -50±15.81/2
t = -65.81/2 and -34.19/2
t = -32.91 and -17.09
Plz help don’t understand this question and I got it wrong an i have to redo it
Answer:
its B
Step-by-step explanation:
1. Estimate twenty-nine percent of forty-eight. Please again no decimal form!
2. Estimate sixty-two percent of one hundred twenty-four. no decimal form please!
3. WORK Karl made $365 last month doing odd jobs after school. If 75% of the money he made was from doing yardwork, about how much did Karl make doing yardwork?
[tex]\boxed{29\;percent\;of\;48=(?)}[/tex]
Who wants to be my gamergirl
Answer:
Well I'm not a girl soo No.
Step-by-step explanation:
Write the decimal as a fraction or mixed number in simplest form.
9.75
✨Answer:✨
9 3/4 (simplest form)
✨Step-by-step explanation:✨
1. Convert decimal into fraction:
9.75 = 975/100
2. Simplify:
975/100 = 39/4 = 9 3/4
A. Reduce fraction to lowest terms (25 is the greatest common divisor of 975 and 100. Reduce by dividing both numerator and denominator by 25):
975/100 = 975 ÷ 25 = 39/4
100 ÷ 25
B. Convert improper fraction to mixed number:
39/4 = 9 3/4
(39 ÷ 4 = 9 remainder 3)
Solve the following system by substitution.
22.
X + 2y = 0
-3-4=-2
4y = -2
A (2, -1)
B. (2, 1).
C. (4, -1)
D. (-2, -1)
Answer:
D
Step-by-step explanation:
surely and i think it's correct
Answer:
D is the correct answer
Step-by-step explanation:
How do you solve for this ?
Which relation is a function? (look at image below)
Answer:
Bottom Right Graph (Absolute Value)
General Formulas and Concepts:
Vertical Line TestStep-by-step explanation:
When we apply the VLT to the 4 different graphs, we see that the only graph that actually passes the VLT is the absolute value graph. Therefore, that is our answer (none of the other graphs pass the VLT).
The weight, y, in pounds, of puppies was tracked for the first 10 weeks after birth where t represents the number of weeks after birth. The linear model representing this relationship is ŷ = 2.3 + 5.73t. Collin wanted to predict the weight of a puppy at 14 weeks.
What is this an example of, and is this method a best practice for prediction? Explain your reasoning.
Answer:
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks.
Step-by-step explanation:
thats just what it is
The solution is Option C )
This is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
What is Linear model?
A linear model is a model in which the terms are added, such as has been used so far in this section, rather than multiplied, divided, or given as a non-algebraic function. Linear modeling can predict the behavior of complex systems or analyze experimental, financial, and biological data.
Linear regression is a statistical method used to create a linear model. The model describes the relationship between a dependent variable y (also called the response) as a function of one or more independent variables Xi (called the predictors).
Given data ,
Weight of the puppies = y pounds
Number of weeks after birth = t
Linear model representing the relationship between weight of puppies and time after birth in weeks is y = 2.3 + 5.73t
This is a clear idea of Linear models because the data describe a continuous response variable as a function of one or more predictor variables.
Hence , this is an example of linear modeling. Linear modeling is a best practice for prediction as the prediction is accurate even though 14 weeks is outside the given interval of 10 weeks
To learn more about linear modeling click :
https://brainly.com/question/28436453
#SPJ2
if there are 3 friends with 80 brothers each, and the brothers each have 25 sisters, and those sisters had 83 dogs. How many people are ded?
Answer:
it never said how many people died, so 0, because if they lived long enough as together with 80 brothers, plus 25*80 sisters, then no one dies exept the mothers womb and the parents bank account
Step-by-step explanation:
let f(x)=4^x. The new function g(x)=f(x-1)+3 represents transformations that were made to function f. Type the new equation for g. g(x)=___
Describe the two types of transformations that occur between function f and function g. (use words like up, down, left, right, compression or stretch in your answer.)
Answer:
g(x) = [tex]4^{(x-1)}+3[/tex]
Step-by-step explanation:
Given exponential function is,
f(x) = [tex]4^{x}[/tex]
If the given function is shifted 1 unit to the right,
h(x) = f(x - 1)
= [tex]4^{(x-1)}[/tex]
If the function 'h' is shifted 3 units up,
g(x) = h(x) + 3
= [tex]4^{(x-1)}+3[/tex]
Therefore, transformed function will be,
g(x) = [tex]4^{(x-1)}+3[/tex]
When given a table, what operations do you use to determine the slope of the graph?
Group of answer choices
Subtraction
Division
Both A & B
None of the Above
Answer:
division
Step-by-step explanation:
The sides of a rectangle are scaled to be 1/4 of their original size What describes the effect of the scaling on the surface area? A. The surface area of the new prism is 1/4 as large as the original prism. B. The surface area of the new prism is 1/8 as large as the original prism. C. The surface area of the new prism is 1/16 as large as the original prism. d. The surface area of the new prism is 1/24 as large as the original prism
Answer:
I think the answer is D
Step-by-step explanation:
4x + 6y - z=-18
3x +2y - 4z = -24
- 5x + 3y + 2z = 15
find x y and z
Answer:
x = -2, y = -1, z = 4
Step-by-step explanation:
4x + 6y - z=-18
z = 18 + 4 x + 6 y
3x +2y - 4z = -24
z = 6 + (3x)/ 4 + y /2
- 5x + 3y + 2z = 15
z = 15/2 + (5x)/2 - (3y)/2
18 + 4 x + 6 y = 6 + (3x)/ 4 + y /2 = 15/2 + (5x)/2 - (3y)/2
x = -22y/13 - 48/13
4(-22y/13 - 48/13) + 6y - (15/2 + (5(-22y/13 - 48/13))/2 - (3y)/2) = -18
Compute the output value of the variables x and y with respect to the input values of x, y, and z coefficients.
Pleas help me with this question im confused and I hate math
Answer:
its 2
Step-by-step explanation:
Hey guys! Can you simplify this? Be sure to show your work so i know you aren't guessing! Also remember when you answer a question and your answer gets reported and deleted you lose the points you received! So don't put incomplete, absurd, plagiarism answers!
3(x-4)>15
Answer:
x>9
Step-by-step explanation:
x−4>
3
15
x−4>5
x>5+4
x>9
WOULD THIS BE RIGHTTT PLEASE NO BS
Answer:
no its not right
the line doesn't pass by (2,0) it passes by (2,1)
Draw and solve
3. You sight a rock climber on a nearly vertical cliff at a 32° angle of elevation. The horizontal ground distance to the base of the cliff is 1,000 ft. Find the line-of-sight distance to the rock climber.
Answer: 58 degrees
Step-by-step explanation:
PLSSSS HELP ME I WILL GIVE BRAINLY
Find the sales tax.
Sales Tax
Selling Price Rate of Sales Tax Sales Tax
$10.00
5%
?
The sales tax is $
Enter your answer in the answer box and then click Check Answer
Answer:
$0.5
Step-by-step explanation:
10*0.05 = 0.5 dollars
Answer:
.50
Step-by-step explanation:
Selling price x sales tax rate = sales tax
10 x .05 (5%) = .50
Circle A has a radius of 6 inches. Circle b has a radius 20% greater than circle A. What is the radius of circle B?
Answer:
7.2inches.
Step-by-step explanation:
Given parameters:
Radius of Circle A = 6inches
Unknown:
Radius of circle B = ?
Solution:
We are to find the radius of circle B.
The relationship between circle A and B is such that;
Radius of Circle B = 20% greater than that of A
Radius of Circle B = 1.2 x 6 = 7.2inches.
What is the value of 43 ?
O 12
O 16
O 43
O 64
Answer:
64
Step-by-step explanation:
Answer: Your answer is 64 4 times 4 equals 16 then 16 times 4 equals 64 <3
Step-by-step explanation:
What is an equation of the line that passes through the points (1,8) and (-1, -2)?
Put your answer in fully reduced form.
Answer:
y=5x+3
Step-by-step explanation:
First, we need to find the slope. Remember that the slope equation is [tex]m=\frac{y2-y1}{x2-x1}[/tex].
If we plug in the given points we get m=5. (let me know if you need further elaboration on this step)
So now that we have a slope, we can plug it into the slope-intercept equation.
y=mx+b
y=5x+b
We still need to find b (y-intercept), but luckily, we were given two points that we could plug in. I'm going to use (1,8) here.
8=5(1)+b
8=5+b
b=3
Now we have all of our parts and can put them into the equation.
y=5x+3
Hope this helped!
i don’t understand this question at all, help?