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3 years ago

North Carolina has 14 less electoral votes

Mathematics

2 answers:

sukhopar [10]3 years ago

8 0

X - 14 = 15
then to solve that you would add the 14 to both the -14 and the 15, the -14 would cancel out and you would be left with x = 29

Wittaler [7]3 years ago

7 0

15 because I am just smart lol

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Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

4 years ago

Read 2 more answers

1.) A 20° sector in a circle has an area of 21.5π yd².

a_sh-v [17]

Part 1) A 20° sector in a circle has an area of 21.5π yd².

What is the area of the circle?

we know that

the area of a circle represent a sector of $360$ degrees

so by proportion

$\frac{21.5\pi }{20} =\frac{x}{360} \\ \\ x*20=360*21.5\pi \\ \\x=(360*21.5*3.14)/20\\ \\x= 1,215.18\ yd^{2}$

therefore

the answer part 1) is

The area of the circle is $1,215.18\ yd^{2}$

Part 2) What is the area of a sector with a central angle of 3π/5 radians and a diameter of 21.2 cm?

we know that

the area of the circle is equal to

$A=\pi r^{2}$

where

r is the radius of the circle

in this problem we have

$Diameter=21.2\ cm\\ r=Diameter/2\\r=21.2/2\\r= 10.6\ cm$

Find the area of the circle

$A=\pi r^{2}$

$A=\pi*10.6^{2}$

$A=352.8104\ cm^{2}$

Find the area of the sector

we know that the area of the circle represent a sector of $2\pi$ radians

by proportion

$\frac{352.8104}{2\pi }=\frac{x}{(3\pi/5)} \\\\x*2\pi=(3\pi*352.8104)/5\\ \\x= 105.84\ cm^{2}$

therefore

the answer part 2) is

the area of the sector is

$105.84\ cm^{2}$

7 0

4 years ago

The vector ~v represents the displacement vector from Portland, Oregon to Houston, Texas. The vector w~ represents the displacem

Art [367]

Answer:

the displacement of the plane is $- \= w$

The displacement of plane from Portland to Akron with layover at Houston is

$\= v + \= w$

the vector which defines this displacement is $\= v + \= w =- 2500 \ km$

Step-by-step explanation:

From the question we are the

The displacement from Portland, Oregon to Houston, Texas. is $\= v$

The displacement from Houston, Texas to Akron, Ohio. is $\= w$ a

The motion of the plane in question a is in the opposite direction to vector $\= w$

So the displacement of the plane is $- \= w$

The motion of Portland to Houston to Akron is in the direction of both vector $\= v$ and $\= w$ so

The displacement of plane from Portland to Akron with layover at Houston is

$d = \= v + \= w$

From the question we are told that the plane flies over Portland to get to Anchorage, Alaska which implies that it is moving in opposite direction to the vector $\= v$

Give that distance from Portland to Houston is $\= v = 3000 km$

and the distance from Portland to Anchorage is $\= w = - 5500$ km

Then the vector which defines this displacement is mathematically represented as

$\= v + \= w = 3000 -5500$

$\= v + \= w =- 2500 \ km$

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3 years ago

A high school coach needs to buy new athletic shorts for the 15 members of the basketball team. The coach must spend less than $

AfilCa [17]

If the budget is $200 and he have 15 members then we have divide the two. 200 / 15 = $13.33 per shorts. 15x =< $200. x represents 13.33. So the solution represents the coach may spend up to $13.33 per pair of shorts. If it was even 1 cent more than $13.33 than he wouldn't have enough.So he can spend up to $13.33 or less per pair of shorts.

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3 years ago

Read 2 more answers

Alr, this is the last question im asking for today. pls help

JulsSmile [24]

you already know i gotchu :)

Answer: u = 5

Step-by-step explanation:

first, i moved the terms.

-4u + 10u = 37 - 7

then, i collected the like terms and calculated them.

6u = 30

finally, i divided both sides.

u = 5

4 0

3 years ago