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3 years ago

Please help me please

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Answer:

x = 36

Step-by-step explanation:

The angles 3x - y and 2x + y form a straight angle and are supplementary, so

3x - y + 2x + y = 180

5x = 180 ( divide both sides by 5 )

x = 36

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

5y and 3x - y are vertical angles and congruent, hence

5y = 3x - y ( add y to both sides )

6y = 3x ← substitute x = 36

6y = 3 × 36 = 108 ( divide both sides by 6 )

y = 18

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A boat sails for 5 hours at 30 mph in a direction 164°56'. How far south has it sailed (to the nearest mile)?

Valentin [98]

Total distance covered = 5 x 30 = 150 miles
Angle of travel with respect to south pole = 180 - 164°56' = 15°4'

Let the distance southwards covered be x, then
cos 15°4' = x/150
Thus, x = 150 cos 15°4' = 144.84

Therefore, the distance covered southwards = 145 miles to the nearest mile.

5 0

3 years ago

Mike bought five items for lunch that Cost a total of 4.55 .Hit dogs cost .1.10 each and cookies cost 0.75 each. What equation c

-Dominant- [34]

Answer:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Step-by-step explanation:

Assume that Mike bought only cookies and hot dogs.

The total can be represented as:

$Cookies + Hot\ Dogs = 5$ --- (1)

And the amount spent can be represented as:

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$ --- (2)

Required

Determine the system of equation

Let c represents the number of cookies and h, number of hot dogs.

$Cookies + Hot\ Dogs = 5$ implies $c + h = 5$

And

$Cost\ of\ cookies + Cost\ of\ hot\ dogs = 4.55$

Cost of cookies = 0.75 * c

Cost of hot dogs = 1.10 * h

So, we have:

$0.75c + 1.10h = 4.55$

Hence, the equations are:

$c + h = 5$ and

$0.75c + 1.10h = 4.55$

Solving for c and h

Make c the subject in $c + h = 5$

$c = 5 - h$

Substitute 5 - h for c in $0.75c + 1.10h = 4.55$

$0.75(5- h) + 1.10h = 4.55$

$3.75- 0.75h + 1.10h = 4.55$

$3.75 +0.35h = 4.55$

Collect Like Terms

$0.35h = 4.55 - 3.75$

$0.35h = 0.8$

Solve for h

$h = 0.8/0.35$

$h = 2.28571428571$

$h =2$ -- approximated

Recall that:

$c = 5 - h$

$c = 5 - 2$

$c =3$

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3 years ago

Answers plz i cant do math

Licemer1 [7]

The slope of all parallel lines are equal.

The slope of a line in the form $y=mx+c$ is m.

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2. The given equation is $y=\frac{2}{7}x+1$ . The slope of this line is $m=\frac{2}{7}$ .

The slope of the line parallel to it is also $\frac{2}{7}$ .

3. The next equation is $y+9x=13$ . The slope intercept form is $y=-9x+13$ .

The slope of this is $m=-13$ . The line parallel to it also has slope which is -13.

4. The given equation is $y=-\frac{1}{2}x+4$ . The slope of this line and the line parallel to it is $m=-\frac{1}{2}$

5. The equation is 6x+2y=4. We simplify to get: 3x+y=2.

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3 years ago

A farmer finds there is a linear relationship between the number of bean stalks, nn, she plants and the yield, yy, each plant pr

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The linear relationship in the form y = y = 3n + 72

What is linear relationship?

In statistics, a straight line of correlation between two variables is referred to as a linear relationship (or linear association). The mathematical equation y = mx + b can be used to represent linear relationships graphically.

<h3>According to the given information :</h3>

Each plant generates 34 oz of beans when she plants 30 stalks, and 33 stalks results in 33 oz of beans per plant, according to the information we have provided.

Equation 1 using data 1:

y = mn + b

Equation 1 using data 1:

30 = 34m + b

Equation 2 using data 2:

33 = 33m + b

Subtract equation 1 from equation 2:

33 - 30 = 34m + b - 33m - b

3 = m

m = 3

Rearrange equation 1 to solve for b:

b = 34(3) - 30

b = 102 - 30

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Therefore the equation becomes:

y = 3n + 72

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To know more about linear relationship visit:

brainly.com/question/28158670

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2 years ago