1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Inessa [10]
3 years ago
14

High school math help please (20 points for 3 problems, but if you could even answer 2 that would help. Please explain how you g

ot your answers so i know for when theres a test on it.)

Mathematics
1 answer:
ipn [44]3 years ago
4 0

Answer:

To question 1: van=9, bus=60

To question 2: Sorry, I don't know the answer.

To question 3: skate rental fee=$2.50, admission fee=$3.25

Step-by-step explanation:

Question 1:

Step 1 - set up equations

14v+16b=1,086

10b+13n=870

Step 2 - Solve for variable (in this case v)

10v+13b=870

Subtract 13b from both sides

10v=-13b+870

Divide both sides by 10

V=-1.3b+87

Step 3 - substitute the v in equation and solve

14 (-1.3b+87)+16b=1,086

-18.2b+1,218+16b=1,086

Combine like-terms

-2.2b+1,218=1,087

Subtract 1,218 from both sides

-2.2b=-132

Divide both sides by -2.2

B=60

Step 4 - substitute for b and solve

10v+13(60)=870

10v+780=870

Subtract 780 from both sides

10v=90

Divide both sides by 10

V=9

Question 3:

Step 1 - set up equations

5s+6f=32

5s+7f=35.25

Step 2 - solve for variable (in this case s)

5s+6f=32

Subtract 6f from both sides

5s=-6f+32

Divide both sides by 5

S=-1.2f+6.4

Step 3 - substitute for s and solve

5(-1.2f+6.4)+7f=35.25

-6f+32+7f=35.25

Combine like-terms

F+32=35.25

Subtract 32 from both sides

F=3.25

Step 4 - substitute for f

5s+6(3.25)=32

5s+19.5=32

Subtract 19.5 from both sides

5s=12.5

Divide both sides by 5

S=2.5

You might be interested in
Use the method of Lagrange multipliers to find the dimensions of the rectangle of greatest area that can be inscribed in the ell
Tanzania [10]

Answer:

Length (parallel to the x-axis): 2 \sqrt{2};

Height (parallel to the y-axis): 4\sqrt{2}.

Step-by-step explanation:

Let the top-right vertice of this rectangle (x,y). x, y >0. The opposite vertice will be at (-x, -y). The length the rectangle will be 2x while its height will be 2y.

Function that needs to be maximized: f(x, y) = (2x)(2y) = 4xy.

The rectangle is inscribed in the ellipse. As a result, all its vertices shall be on the ellipse. In other words, they should satisfy the equation for the ellipse. Hence that equation will be the equation for the constraint on x and y.

For Lagrange's Multipliers to work, the constraint shall be in the form: g(x, y) =k. In this case

\displaystyle g(x, y) = \frac{x^{2}}{4} + \frac{y^{2}}{16}.

Start by finding the first derivatives of f(x, y) and g(x, y)with respect to x and y, respectively:

  • f_x = y,
  • f_y = x.
  • \displaystyle g_x = \frac{x}{2},
  • \displaystyle g_y = \frac{y}{8}.

This method asks for a non-zero constant, \lambda, to satisfy the equations:

f_x = \lambda g_x, and

f_y = \lambda g_y.

(Note that this method still applies even if there are more than two variables.)

That's two equations for three variables. Don't panic. The constraint itself acts as the third equation of this system:

g(x, y) = k.

\displaystyle \left\{ \begin{aligned} &y = \frac{\lambda x}{2} && (a)\\ &x = \frac{\lambda y}{8} && (b)\\ & \frac{x^{2}}{4} + \frac{y^{2}}{16} = 1 && (c)\end{aligned}\right..

Replace the y in equation (b) with the right-hand side of equation (b).

\displaystyle x = \lambda \frac{\lambda \cdot \dfrac{x}{2}}{8} = \frac{\lambda^{2} x}{16}.

Before dividing both sides by x, make sure whether x = 0.

If x = 0, the area of the rectangle will equal to zero. That's likely not a solution.

If x \neq 0, divide both sides by x, \lambda = \pm 4. Hence by equation (b), y = 2x. Replace the y in equation (c) with this expression to obtain (given that x, y >0) x = \sqrt{2}. Hence y = 2x = 2\sqrt{2}. The length of the rectangle will be 2x = 2\sqrt{2} while the height will be 2y = 4\sqrt{2}. If there's more than one possible solutions, evaluate the function that needs to be maximized at each point. Choose the point that gives the maximum value.

7 0
3 years ago
What is the image of -1 - 5 after a dilation by a scale factor of 5 centered at the origin
amm1812

the Given data

*The given point is (-1, -5)

*The given scale factor is 5

The image of -1 - 5 after dilation by a scale factor of 5 centered at the origin ​is given as

(-1,-5)=(-1\times5,-5\times5)=(-5,-25)

Thus, the image after dilation by a scale factor of 5 centered at origin is (-5, -25)

6 0
2 years ago
What is -3(2 - x) = 9x​
Romashka [77]

Answer:

-1=x

Step-by-step explanation:

You multiply the -3 into the (2-x). which gives you -6+3x=9x. Know you wanna get ride of the 3x so you subtract from both sides, which then gives you. -6=6x. From here were gonna need to get x by itself so you divide both  sides by 6.

4 0
4 years ago
Read 2 more answers
Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a t
Yakvenalex [24]

Answer: Joe earns a monthly salary of 250 plus a commission on his total sales. Last month his total sales were $7,289 and he earned a total of $1,275. What is his commission rate?

Step-by-step explanation:  

250 + $7,289 + $1,275 = 8814

5 0
3 years ago
Tom invested £2500 for 3 years into his savings account.
Hitman42 [59]
The frist years interest would be £75 , so after 1 year it'd be £2,575 , after 2 years the interest would be £77.25 giving a total of £2,652.25 and after the third final ear  , the interest would be £79.57 , resulting in Tom having <span>£2,731.82 at the end of the 3 years</span>
3 0
3 years ago
Read 2 more answers
Other questions:
  • Lena has painted 3/4 of a room.
    9·2 answers
  • Covert 6 2/3 to a fraction
    7·1 answer
  • HELP ASAP 25 POINTS WILL MARK CORRECT ANSWER BRAINLIEST
    8·1 answer
  • 9/10 in simplest form
    6·1 answer
  • The total cost of four pens and seven mechanical pencils is $9.73. The cost of each mechanical pencil is 0.75 cents. Which repre
    7·1 answer
  • Find all polar coordinates of point P where P = ordered pair 3 comma negative pi divided by 3 .
    5·1 answer
  • A credit card company charges 22% interest fee on any charges not paid at the end of the month.. If the bill totals $450 for thi
    8·1 answer
  • Please I need some answers
    8·2 answers
  • CAN ANYONE PLEASE HELP
    11·1 answer
  • Peter hired two combine operators to harvest his 260 acres of wheat. He expected a yield of 50 bushels per acre. The first opera
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!