answer.
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
forsale [732]
2 years ago
6

How many solutions are there to the system of equations?

Mathematics
2 answers:
hichkok12 [17]2 years ago
7 0

Answer: The system of equations has NO SOLUTION.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

Given the following system of equations:

\left \{ {{4x-5y=5} \atop {-0.08x+0.10y=0.10}} \right.

Write the first equation and solve for "y" in order to express it in Slope-Intercept form:

4x-5y=5\\\\-5y=-4x+5\\\\y=\frac{-4x}{-5}+\frac{5}{-5}\\\\y=0.8x-1

You can identify that:

m=0.8\\b=-1

Apply the same procedure with the second equation. Then:

-0.08x+0.10y=0.10\\\\0.10y=0.08x+0.10\\\\y=\frac{0.08x}{0.10} +\frac{0.10}{0.10}\\\\y=0.8x+1

You can identify that:

m=0.8\\b=1

The slopes of both lines are equal, therefore  the lines are parallel and the system has NO SOLUTION.

AfilCa [17]2 years ago
4 0

answer: <u>A</u>

(no solutions)

your welcome

You might be interested in
jason built a rectangular tool shed that is 8 meters wide and has an area of 96 square meters what is the length of Jason's tool
amid [387]
Area = length x width
96 = length x 8
Length =96/8
Length = 12 metres
7 0
2 years ago
Mr. and Mrs. Smith's children all play different sports. They want to buy a combination of soccer training sets,which each cost
8090 [49]
C is the answer because a number of children are unknown.
5 0
2 years ago
Read 2 more answers
PLEASE HELP ME WITH PRE CAL!!
Oduvanchick [21]

Answer:

0.67 mi

Step-by-step explanation:

The diagram illustrating the question is shown in the attach photo.

In triangle DCA,

Opposite = H

Adjacent = b

Angel θ = 27°

Tan θ = Opp /Adj

Tan 27° = H/b

Cross multiply

H = b x Tan 27°... (1)

From triangle DSA,

The diagram illustrating the question is shown in attach photo.

In triangle DCA,

Opposite = H

Adjacent = 2.3 – b

Angel θ = 34°

Tan θ = Opp /Adj

Tan 34° = H/ 2.3 – b

Cross multiply

H = Tan 34° (2.3 – b) .. (2)

Equating equation (1) and (2)

b x Tan 27° = Tan 34° (2.3 – b)

0.5095b = 0.6745(2.3 – b)

0.5095b = 1.55135 – 0.6745b

Collect like terms

0.5095b + 0.6745b = 1.55135

1.184b = 1.55135

Divide both side by 1.184

b = 1.55135/1.184

b = 1.31 mi

Substitute the value of b into any of the equation to obtain the height (H). In this case we shall use equation 1.

H = b x Tan 27°

H = 1.31 x Tan 27°

H = 0.67 mi

Therefore, the height of the drone is 0.67 mi

4 0
2 years ago
Derek has 12 shirt in his closet. If 2 out of every 3 of these shirts are striped,how many striped shirts does Derek have in his
SOVA2 [1]
12 divided by 3 is 4
if 2 of each of these is stripped that means 8/12 are striped
7 0
2 years ago
Read 2 more answers
The cost function for a certain company is C = 20x + 700 and the revenue is given by R = 100x − 0.5x2. Recall that profit is rev
Brilliant_brown [7]

Answer:

x = 20

x = 140

Step-by-step explanation:

Find the equation for profit P

P = R - C

Substitute the equations for R and C then simplify.

P = 100x − 0.5x² - (20x + 700)

P = -0.5x² + 80x - 700

Find the values of x when profit is $700

P = -0.5x² + 80x - 700

700 = -0.5x² + 80x - 700

0 = -0.5x² + 80x - 1400

This is in the standard form 0 = ax² + bx + c

Use the quadratic formula to find values of x

x = \frac{-b±\sqrt{b^{2}-4ac}  }{2a}

(Ignore Â)

Substitute a b and c.

a = -0.5

b = 80

c = -1400

x = \frac{-(80)±\sqrt{80^{2}-4(-0.5)(-1400)}  }{2(-0.5)}

x = \frac{-80±60}{-1}

Split the formula at the ± so that there are two to get the two x values.

x = \frac{-80+60}{-1}

x = \frac{-80-60}{-1}

x = 20

x = 140

The profit will be $700 when x is 20 or when x is 140.

5 0
2 years ago
Other questions:
  • If x is directly proportional to y, and x = 3.4 when y = 2, find y when x = 5.1.
    6·2 answers
  • Anya found the slope of the line that passes through the points (–7, 4) and (2, –3). Her work is shown below. Let (x2, y2) be (–
    10·2 answers
  • For dinner, Abelita chooses the Italian salad that costs $3.99 before tax, and Franco chooses the fettuccini alfredo that costs
    14·2 answers
  • 7. The sum of the interior angles of a polygon is 10,620°. How many sides does the polygon have?
    14·1 answer
  • What is the 185th digit in the following pattern 12345678910111213141516
    6·1 answer
  • Fifty specimens of a new computer chip were tested for speed in a certain application, along with 50 specimens of chips with the
    13·1 answer
  • Given: △ABC, AB=5 sqrt 2 m∠A=45°, m∠C=30° Find: BC and AC will give brainliest!!! By the way the answer is not 5 and 3.66
    14·1 answer
  • Chicken eggs can be categorized as large if they weigh at least 2 ounces. Clare weighs 48 large eggs and finds that they have a
    12·1 answer
  • A store sells three varieties of cheese cheddar, Gouda, and Swiss. Each variety of cheese is available in two different styles s
    15·1 answer
  • Anna lives 2.5 miles to the east of her school, and Ben lives 2 miles to the west of the same school.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!