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lilavasa [31]
3 years ago
8

The ratio of red cars to blue cars in a parking lot was 7:2. If there were 35 red cars, how many blue cars were there?

Mathematics
2 answers:
ANTONII [103]3 years ago
6 0
I believe the answer is 10 blue cars.

I found this answer because I divided 35 and 7 which equals 5. The ratio is 1 ever 5 cars. So to find the number of blue cars you would just do the opposite of what you did to find the ratio which is multiplying. So you would do 2 times 5 which is 10.
Nuetrik [128]3 years ago
5 0

Answer:

The answer is 10 red cars.

Step-by-step explanation:

to get 35 red cars you would need to multiply the 7 red cars by 5, so u would do the same with the blue cars. The 2 blue cars multiplied by 5 would be 10 blue cars.

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Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.
PolarNik [594]

Answer:

  one point

Step-by-step explanation:

A system of two linear equations will have one point in the solution set if the slopes of the lines are different.

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When the equations are written in the same form, the ratio of x-coefficient to y-coefficient is related to the slope. It will be different if there is one solution.

  • ratio for first equation: 1/1 = 1
  • ratio for second equation: 1/-1 = -1

These lines have <em>different slopes</em>, so there is one solution to the system of equations.

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<em>Additional comment</em>

When the equations are in slope-intercept form with the y-coefficient equal to 1, the x-coefficient is the slope.

  y = mx +b . . . . . slope = m

When the equations are in standard form (as in this problem), the ratio of x- to y-coefficient is the opposite of the slope.

  ax +by = c . . . . . slope = -a/b

As long as the equations are in the same form, the slopes can be compared by comparing the ratios of coefficients.

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If the slopes are the same, the lines may be either parallel (empty solution set) or coincident (infinite solution set). When the equations are in the same form with reduced coefficients, the lines will be coincident if they are the same equation.

8 0
2 years ago
Which value, when placed in the box, would result in a system of equations with infinitely many solutions?
ira [324]
<span>For a system of equations to have infinitely many solutions, the equations have to be lineary dependent, (i.e. one of the equations is a multiple of the other equation). For the given equation to have infinitely many solutions, the second equation have to be a multiple of the first equation. The first equation can be rewritten as y - 2x = -5 The second equation is the first equation multiplied by 2, i.e. 2(y - 2x= -5) = 2y - 4x = -10 Therefore, the correct answer is -10 (option a).</span>
7 0
3 years ago
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What is -9.98 as a fraction?
Rzqust [24]

Answer: -449/50

Step-by-step explanation:

-9.98

1) Put in fraction form.

-998/100

2) Simplify.

-449/50

5 0
3 years ago
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Whoever answers correctly gets brainliest
vitfil [10]
They are not similar, both of the triangles do not add up to the same number.
4 0
2 years ago
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Given square NOWR, what is the value of x and y?
Rina8888 [55]

Answer:

x = 4, y = 9

Step-by-step explanation:

The angles in a square are right, that is 90°

The diagonals bisect the angles , then

6x + 21 = 45 ( subtract 21 from both sides )

6x = 24 ( divide both sides by 6 )

x = 4

------------------------------------------------

The sides of a square are congruent , then

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5y - 29 = 16 ( add 29 to both sides )

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y = 9

8 0
3 years ago
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