Step-by-step explanation:
Let us take:
Steph's age = x
No. of students in the class = y
Given that,
x = 13
also,
x = 7/5y - 22
That gives,
13 = 7/5y - 22
13 + 22 = 7/5y
35 = 7/5y
35 × 5/7 = y
5 × 5 = y
25 = y
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
b. Use your equation to find the total monthly cost if 624 minutes are used
Answer:
a) $141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b) $244.4
Step-by-step explanation:
The phone company Splint has a monthly cellular plan where a customer pays a flat monthly fee and then a certain amount of money per minute used on the phone. If a customer uses 330 minutes, the monthly cost will be $141.5. If the customer uses 890 minutes, the monthly cost will be $337.5.
Required:
a. Find an equation in the form y= mx +b, where x is the number of monthly minutes used and y is the total monthly of the Splint plan.
If a customer uses 330 minutes, the monthly cost will be $141.5.
y = mx + b
$141.5 = 330m + b
If the customer uses 890 minutes, the monthly cost will be $337.5.
$337.5 = 890m + b
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
b. Use your equation to find the total monthly cost if 624 minutes are used
Combining the equations
$141.5 = 330m + b...... Equation 1
$337.5 = 890m + b..... Equation 2
We Subtract Equation 2 from 1
-196 = -560m
m = -196/-560
m = 0.35
$337.5 = 890m + b..... Equation 2
$337.5 = 890 × 0.35 + b
$337.5 - 311.5 = b
b = 26
When x = 624
y = 624× m + b
m = 0.35 , b = 26
y = 624 × 0.35 + 26
y = 218.4 + 26
y = $ 244.4
Please help I’ll mark brainliest if u give a small explanation
Helppp please I need help ASAP!!!!!
Answer:
D
Step-by-step explanation:
The answer is D because the 45 would represent his songs, and 180 would represent the total.
1/6 * 3/4
could be answers
3/10
1/6
1/8
4/10
Answer:
it's a sooooooo it's the first one
Answer:
1/8
Step-by-step explanation:
i used the calculator.
Write an inequality for the graph below.
please help !!
Answer:
(1,5) and (2,1)
Step-by-step explanation:
we can count the graph which has given in red circle
Suppose the price of one item was $12, and the price of another item was $20. What would figuring out a common multiple of 12 and 20 tell you?
Answer:
hi
Step-by-step explanation:
I think the answer is a number
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
What is a factor?A factor is a number that divides another number, leaving no remainder
We have,
Cost of one-item = $12
Cost of another-item = $20
We can find out some common multiple of both the numbers 12 and 20.
12 x 1 = 12 20 x 1 = 20
12 x 2 = 24 20 x 2 = 40
12 x 3 = 36 20 x 3 - 60
12 x 4 = 48 20 x 4 = 80
12 x 5 = 60 20 x 5 = 100
12 x 7 = 84 20 x 6 = 120
12 x 8 = 96
12 x 9 = 108
12 x 10 = 120
We see that we have two common multiples from the above multiples.
i,e 60 and 120
Now,
The factor in the multiples are:
12 x 5 = 60
12 x 10 = 120
20 x 3 = 60
20 x 6 = 120
This means that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
Thus,
Figuring out a common multiple of 12 and 20 we can say with the help of the factor that,
The cost of 5 one-item is equal to the cost of 3 another-item.
The cost of 10 one-item is equal to the cost of 6 another-item.
Learn more about factors here:
https://brainly.com/question/26941030
#SPJ2
Simplify the expression. 55−4x5+12
Answer:
First we add four point five plus twelve and we get sixteen point five, and so now we subtract fifty-five minus sixteen point five and we get our answer.
Answer: 62.5
Step-by-step explanation:
Hope this helps!
:)
Factor out the coefficient of the variable 2/3j - 2/9
answer: hey lol*sharts loudly*
Step-by-step explanation:
you just need to use the bathroom next time;))))
A particle moves so that its position vector with respect to the origin of a reference frame Oxyz is r(t)=bcos w t+bsin w t+vt k,where i,j and k are unit vectors parallel to the co-ordinates axes Ox,Oy and b&V are positive constants.
(i)Find the velocity and speed of the particle
(ii)Describe the path moved by the particle
(iii)Find the acceleration of the particle
(i) Velocity is the rate of change of position, so if
r(t) = b cos(ω t ) i + b sin(ω t ) j + v t k
then
v(t) = dr/dt
v(t) = -b ω sin(ω t ) i + b ω cos(ω t ) j + v k
The speed of the particle is the magnitude of the velocity, given by
|| v(t) || = √[(-b ω sin(ω t ))² + (b ω cos(ω t ))² + v ²]
… = √[b ²ω ² + v ²]
(ii) The path is a helix. Suppose you zero out the k component. Then the path is a circle of radius b, and the value of ω determines how quickly a particle on the path traverses the circle. Now if you reintroduce the k component, the value of v will determine how far from the plane z = 0 the particle moves in a helical path as t varies.
(iii) Acceleration is the rate of change of velocity, so
a(t) = dv/dt
a(t) = -b ω ² cos(ω t ) i - b ω ² sin(ω t ) j
A Fahrenheit thermometer shows that the temperature is 13 degrees below zero. Enter the integer that represents the temperature in degrees Fahrenheit
Answer:
-13??? weird question... do you mean celcius themometer?
Step-by-step explanation:
Answer:
The integer that represents 13 degrees below 0 is -13°F.
Step-by-step explanation:
This is because the phrase "13 degrees below 0" is obviously not an integer meaning that the corresponding integer to this phrase would be -13.
P.S.
This question was asked by somebody else and I answered already so I am not copying the answer!
Hope this helps! :)
A concession stand sell hot dogs and hamburgers. At a football game, 84 hot dogs and 36 hamburgers were sold for $276. At another football game, 60 hotdogs and 18 hamburgers were sold for $174. Wrote a system of equations to represent this situation. Then solve the system of equations.
Answer:
84x + 36y =$276
60x + 18y =$174
then solve
Step-by-step explanation:
x- hot dogs, y- hamburgers
1st football game- 84x + 36y =$276
2nd football game- 60x + 18y =$174
It costs $0.50 to download an individual song and $4 to download an album. Jada has $15 to spend downloading music.
Answer:
what is it asking
Step-by-step explanation:
Hey pls help me in this thanks a lot
Answer:
m= -13-q+15h, h€R, q€RIn a study of 300 students under 25 years old, 21 have not yet learned to drive. What percentage can drive
Answer:
7%
Step-by-step explanation:
300/21 is 0.07, and 0.07 in percent form is 7%
Charlie T. Mole ate 16 insects. Anabel H. Mole ate 26
insects. How many more insects did Anabel eat
Answer:
10
Step-by-step explanation:
this is easy... subtraction
Find the gradient of the function g(x,y)= xy at the point (5. - 1). Then sketch the gradient together with the level curve that passes through the point First find the gradient vector at (5. - 1). Vg(5. - 1)-01- i (Simplify your answers.) Choose the graph that shows the level curve and the gradient vector at (5. - 1). OD ОА.
This question is incomplete, the complete question is;
Find the gradient of the function g(x,y)= xy² at the point (5, - 1). Then sketch the gradient together with the level curve that passes through the point.
First find the gradient vector at (5, - 1).
Vg(5,- 1) = [ ]i - [ ]j (Simplify your answers.)
Choose the graph that shows the level curve and the gradient vector at (5, - 1).
options of the sketched graphs are uploaded along this answers
Answer:
Vg(5,- 1) = [ 1 ]i - [ 10 ]j
Option A is the correct graph for this Level
Step-by-step explanation:
Given that;
g(x,y) = xy²
we have to find gradient of this function at ( 5, -1 )
so
Δg(x,y) = dg/dx + dg/dy
d(g)/dx = y² , dg/dy = 2gx
therefore
Δg(x,y) = [y²]i + [2yx]j
Δ( 5, -1) = [-1²]i + [2×-1 ×5]j
=Δ(5, -1) = 1i - 10j
[ 1 ]i - [ 10 ]j
Therefore Option A is the correct graph for this Level
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Answer:
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Step-by-step explanation:
A 6000-seat theater has tickets for sale at $26 and $40. How many tickets should be sold at each price for a sellout performance to generate a total revenue of $185,400?
Let
x = number of tickets sold for $26
y = number of tickets sold for $40
x + y = 6000
x = 6000 - y
$26 × x + $40 × y= $185, 400
26x + 40y = 185400
Substitute
26(6000 - y) + 40y = 185400
156000 - 26y + 40y = 185400
Collect like terms
- 26y + 40y = 185400 - 156000
14y = 29400
y = 29400/14
y = 2100 tickets
x = 6000 - y
x = 6000 - 2100
x = 3900 tickets
Hence
x = number of tickets sold for $26 = 3900 tickets
y = number of tickets sold for $40 = 2100 tickets
Mrs. Conley asks her class what kind of party they want to have to celebrate their excellent behavior. Out of all the students in the class, 5 want a ice cream party, 7 want a movie, 10 want a costume party, and the rest want are undecided. If 20% want a ice cream party, how many students are in class?
Answer:
25
Step-by-step explanation:
Mr. Smith writes the following problem on the board,
1/4 + 3
Which statement about Mr. Smith s problem is true?
The answer to Mr. Smith s problem is less than 1
The answer to Mr. Smith s problem is between 1 and 2
The answer to Mr. Smith 5 problem is between 2 and 3.
O The answer to Mr. Smith s problem is between 3 and 4.
Answer:
It is the last one where the answer is between 3 and 4
Step-by-step explanation:
go0oddddddddddddddddddddddddddddddddddddddddddddddddddddd
Norman earns $675 per month walking dogs he has to pay 8.5% tax on his income how much tax did he pay
Answer:
57.375
Step-by-step explanation:
Multiply then move the decimal
Answer:
57.375
Step-by-step explanation:
To get the solution, we are looking for, we need to point out what we know.
1. We assume, that the number 675 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 675 is 100%, so we can write it down as 675=100%.
4. We know, that x is 8.5% of the output value, so we can write it down as x=8.5%.
5. Now we have two simple equations:
1) 675=100%
2) x=8.5%
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
675/x=100%/8.5%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.
7. Solution for what is 8.5% of 675
675/x=100/8.5
(675/x)*x=(100/8.5)*x - we multiply both sides of the equation by x
675=11.764705882353*x - we divide both sides of the equation by (11.764705882353) to get x
675/11.764705882353=x
57.375=x
x=57.375
now we have:
8.5% of 675=57.375
hope it helpsssssss :)
sssssssssssssss
Amy's car gets 32 miles per gallon. If her car's tank holds 15 gallons of gas, and she wants to keep a minimum of 1 gallon of gas in the tank for safety, how far (in miles) can Amy drive after filling up before she needs to fill up again?
Answer:
448 miles
Step-by-step explanation:
Amy's car can hold 15 gallons of gas. Provided that each gallon can drive her 32 miles. This means that 15 gallons can drive her 480 miles.
15 gallons x 32 miles = 480 miles
However, she needs to keep 1 gallon of gas in the tank for safety reasons. So we have to subtract 1 gallon from 15 gallons.
15 gallons - 1 gallon = 14 gallons
Now, let's compute again.
14 gallons x 32 miles = 448 miles
Amy can drive 448 miles before she needs to fill up the tank again.
a tv costs 800 plus vat at 20% what is the total cost of the tv
A video store charges $3 per movie, and the fourth movie is free. How much do you actually pay per movie?
Answer:
$2.25 per movie
Step-by-step explanation:
3(4)= $12
$12-$3= $9
$9/4= $2.25
Fill in the table so it represents a linear function.
X
5
10
15
20
25
y -1
11
Answer:
2; 5; 8
Step-by-step explanation:
To fill in the table, we need to generate an equation to represent the relationship between x and y.
First, find the slope using the two pairs given, (5, -1) and (25, 11):
[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{11 -(-1)}{25 - 5} = \frac{12}{20} = \frac{3}{5} [/tex]
m = ⅗.
Next, using the point-slope form, we can use a point/coordinate pair and the slope to derive an equation as follows.
[tex] y - y_1 = m(x - x_1) [/tex]
Where,
[tex] x_1 = 5, y_1 = -1 [/tex]
m = ⅗.
Plug in the values
[tex] y -(-1) = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3}{5}(x - 5) [/tex]
[tex] y + 1 = \frac{3x}{5} - 3 [/tex]
Subtract 1 from both sides
[tex] y + 1 - 1 = \frac{3x}{5} - 3 - 1 [/tex]
[tex] y = \frac{3x}{5} - 4 [/tex]
Use the equation above to fill out the table by plugging each value of x into the equation to get the corresponding values of y for each x value.
✔️When x = 10:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(10)}{5} - 4 = 6 - 4 [/tex]
[tex] y = 2 [/tex]
✔️When x = 15:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(15)}{5} - 4 = 9 - 4 [/tex]
[tex] y = 5 [/tex]
✔️When x = 20:
[tex] y = \frac{3x}{5} - 4 [/tex]
[tex] y = \frac{3(20)}{5} - 4 = 12 - 4 [/tex]
[tex] y = 8 [/tex]
Answer:
2,5,8
Step-by-step explanation:
HELP PLEASE NEED IT ASAP
Answer:
x=-4 x=2
Step-by-step explanation:
BRAINLIEST PLS
Find the missing angle.
200
180
A
100
B
50
SO
D) 70
Answer:
the answer is c) 80
all angles of the Triangle will have a sum of 180. 80+20=100 ... 180-100= 80
Which of the following describes the following graph?
A. Function only
B. Relation only
C. Neither funtion or relation
D. Both a function and a relation
Find the equation of the straight line line passing through the point ( 0 , 1 ) which is perpendicular to the line y = -2x + 2
Step-by-step explanation:
y=-2x+2
hence the gradient is -2
gradient of perpendicular line
m1m2=-1
-2m2=-1
2m2=1
m2=1/2
so equation when m=1/2
m(x-x1)=y-y1
0.5(x-0)=y-1
0.5x-0=y-1
0.5x+1=y hence this is the equation
segment AB is dilated from the origin to create segment A prime B prime at A' (0, 6) and B' (6, 9). What scale factor was segment AB dilated by?
As you forgot to mention the diagram. I was able to find the diagram. Hence, I am attaching and solving the question based on that diagram, which anyways would clear your concept.
Answer:
we conclude that the segment AB was dilated by scale factor 3.
Step-by-step explanation:
From the diagram, it is clear that the original points A and B are located
at (0, 2) and (2, 3) respectively.
i.e.
A(0, 2)B(2, 3)As the coordinates of the dilated segment A'B' are given as:
A'(0, 6)B'(6, 9)A scale factor is basically a number that multiplies an object or quantity.
For instance, the 'D' in [tex]y = Dx[/tex] is the scale factor for x.
If the equation were y = 7x, then the factor would have been 5.
As the coordinates of the dilated segment A'(0, 6) and B'(6, 9) are 3 times the coordinates of the original segment A(0, 2) and B(2, 3).
i.e.
A(0, 2) → (0×3, 2×3) = A'(0, 6)
B(2, 3) → (2×3, 3×3) = B'(6, 9)
Therefore, we conclude that the segment AB was dilated by scale factor 3.
Answer:
Segment AB was dilated by scale factor 3.
Step-by-step explanation:
The person above is correct tahnk you!!!
(4k^4)(-3k)^3
My math teacher gave me this and I don’t know what to do
Answer:
-12k^7
Step-by-step explanation:
Multiply coefficients, then add the exponents
Answer:
-1.03277491 × 10-158 m14 kg7 s-14 K-7
Step-by-step explanation:
here