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
mr_godi [17]
3 years ago
14

5x+y=27 y=4x using substitution method

Mathematics
2 answers:
Feliz [49]3 years ago
7 0
Substitute 4x for y, and solve for x;
5x + (4x) = 27
9x = 27
x = 3
Substitute 3 in for x in the first equation and solve for y;
5(3) + y = 27
15 + y = 27
y = 12
Dvinal [7]3 years ago
4 0
 5x + y = 27
substitute: 5x + 4x = 27
combine: 9x = 27
divide (by 9): x = 3
You might be interested in
Answer these questions pls
kari74 [83]
Lmk if you need more help :)

5 0
2 years ago
Question
sergij07 [2.7K]
Ask your teacher hfjsjcnjensjte
4 0
2 years ago
Over a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at
netineya [11]

Answer:

  f(x) = 4.35 +3.95·sin(πx/12)

Step-by-step explanation:

For problems of this sort, a sine function is used that is of the form ...

  f(x) = A + Bsin(2πx/P)

where A is the average or middle value of the oscillation, B is the one-sided amplitude, P is the period in the same units as x.

It is rare that a tide function has a period (P) of 24 hours, but we'll use that value since the problem statement requires it. The value of A is the middle value of the oscillation, 4.35 ft in this problem. The value of B is the amplitude, given as 8.3 ft -4.35 ft = 3.95 ft. Putting these values into the form gives ...

  f(x) = 4.35 + 3.95·sin(2πx/24)

The argument of the sine function can be simplified to πx/12, as in the Answer, above.

8 0
3 years ago
Evaluate Functions<br> Given f(x) = 2x + 6 and g(x) = 5x - 1<br> Evaluate f(-2)
ZanzabumX [31]

Answer:

f(-2) = -4x + 6

Step-by-step explanation:

f(x) = 2x + 6

f(-2) = -2(2x) + 6

f(-2) = -4x + 6

4 0
2 years ago
Read 2 more answers
If we inscribe a circle such that it is touching all six corners of a regular hexagon of side 10 inches, what is the area of the
Brrunno [24]

Answer:

\left(100\pi - 150\sqrt{3}\right) square inches.

Step-by-step explanation:

<h3>Area of the Inscribed Hexagon</h3>

Refer to the first diagram attached. This inscribed regular hexagon can be split into six equilateral triangles. The length of each side of these triangle will be 10 inches (same as the length of each side of the regular hexagon.)

Refer to the second attachment for one of these equilateral triangles.

Let segment \sf CH be a height on side \sf AB. Since this triangle is equilateral, the size of each internal angle will be \sf 60^\circ. The length of segment

\displaystyle 10\, \sin\left(60^\circ\right) = 10 \times \frac{\sqrt{3}}{2} = 5\sqrt{3}.

The area (in square inches) of this equilateral triangle will be:

\begin{aligned}&\frac{1}{2} \times \text{Base} \times\text{Height} \\ &= \frac{1}{2} \times 10 \times 5\sqrt{3}= 25\sqrt{3} \end{aligned}.

Note that the inscribed hexagon in this question is made up of six equilateral triangles like this one. Therefore, the area (in square inches) of this hexagon will be:

\displaystyle 6 \times 25\sqrt{3} = 150\sqrt{3}.

<h3>Area of of the circle that is not covered</h3>

Refer to the first diagram. The length of each side of these equilateral triangles is the same as the radius of the circle. Since the length of one such side is 10 inches, the radius of this circle will also be 10 inches.

The area (in square inches) of a circle of radius 10 inches is:

\pi \times (\text{radius})^2 = \pi \times 10^2 = 100\pi.

The area (in square inches) of the circle that the hexagon did not cover would be:

\begin{aligned}&\text{Area of circle} - \text{Area of hexagon} \\ &= 100\pi - 150\sqrt{3}\end{aligned}.

3 0
3 years ago
Other questions:
  • I don’t know the answer and will need help thank you
    13·1 answer
  • Please help 30 points
    9·1 answer
  • One kind of plant has only blue flowers and white flowers. According to a genetic model, the offsprings of a certain cross have
    9·1 answer
  • 14-4x = 26 <br> What is X<br> Pls help.
    14·2 answers
  • Write 1.547x10^3 as an ordinary number
    15·1 answer
  • Estimate the product. 3 1/3 x 4 1/8 =
    7·2 answers
  • The diameter of a circle is 3 ft. Find the circumference to the nearest tenth.
    7·2 answers
  • Help me please !!!!!!!!
    6·1 answer
  • The chart below shows conversion between yards and inches.
    13·1 answer
  • Suppose that $6500 is placed in an account that pays 12% interest compounded each year.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!