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3 years ago

What is the solution?

Mathematics

1 answer:

Ipatiy [6.2K]3 years ago

4 0

Answer:

3.) {2x+2y=62; x+4y=70

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AURORKA [14]

Answer:

$\theta \approx 1.23^\circ$

Step-by-step explanation:

The expression has been given as:

$tan(\theta) = \frac{50}{18}$

Required: Find $\theta$

Simplify the fraction

$tan(\theta) = 2.7778$

Take arc tan of both sides

$\theta = tan^{-1}(2.7778)$

$\theta \approx 1.23^\circ$

8 0

2 years ago

Riverside Elementary School is holding a school-wide election to choose a school color. 5/8 of the voters were for blue 5/9 of t

padilas [110]

Answer:

There were 180 voters for blue color.

Step-by-step explanation:

Let the total number of voters be 'x'.

Given:

Number of Voters for blue color = $\frac{5}{8}x$

Number of Voters for green color = $\frac{5}{9}(x-\frac58x)=\frac59x(1-\frac58)$

Now we will use LCM to make the denominator common we get;

Number of Voters for green color = $\frac59x(\frac88-\frac58)=\frac59x(\frac{8-5}{9})=\frac59x(\frac38)=\frac{15x}{72}$

Number of Voters for red color = 48

We need to find the number of voters for blue color.

Solution:

Now we can say that;

total number of voters is equal to sum of Number of Voters for blue color, Number of Voters for green color and Number of Voters for red color.

framing in equation form we get;

$x=\frac58x+\frac{15x}{72}+48$

Combining like terms we get;

$x-\frac58x-\frac{15x}{72} = 48$

Now we will make denominators common using LCM we get;

$\frac{72x}{72}-\frac{5x\times9}{8\times9}-\frac{15x\times1}{72\times 1} = 48\\\\\frac{72x}{72}-\frac{45x}{72}-\frac{15x}{72} = 48$

Now denominators are common so we will solve the numerators we get;

$\frac{72x-45x-15x}{72}=48\\\\\frac{12x}{72}=48\\\\\frac{x}{6}=48$

Now multiplying both side by 6 we get;

$\frac{1}{6}x\times6=48\times6\\\\x = 288$

Number of voters for blue color = $\frac{5}{8}x=\frac{5}{8}\times 288= 180$

Hence There were 180 voters for blue color.

4 0

3 years ago

What is an equation of the line that passes through the points (-8, 2) and (-4, -3)?

denpristay [2]

Answer:

y = (-6/13)x + (4/13).,

Step-by-step explanation:

the equation of the line is:

y = mx + b, where "m" is the slope and "b" gives the y-intercept

m = (y2 - y1)/(x2 - x1)

m = (-2 - 4)/(5 - (-8))

m = -6/13

y = (-6/13)x + b

the line passes through the point (-8,4) means that for x = -8, y = 4

4 = (-6/13)(-8) + b

b = 4 - (-6/13)(-8)

b = 4/13

the equation of the line that passes through the points (-8,4) and (5,-2) is:

y = (-6/13)x + (4/13).

5 0

3 years ago

What is another way to show that 4/6 = 8/12?

Varvara68 [4.7K]

what I think is the answer is 2/3

6 0

3 years ago

Which score is better in terms of percentages: 12 out of 15 or 23 out of 26?

Ksenya-84 [330]

Answer:

23/26 is a greater percentage, it equals around 88% while 12/15 equals 80%

Step-by-step explanation:

5 0

3 years ago