5. A recent school survey found that 8 out of 10 students plan to go to college after graduating high school. At
that rate, how many of the 2540 students at the local high school plan to go to college?
318 students
2032 students
2000 students
3175 students

Answer:

x = 11

BC = 23

AD = 29

EF = 26

Step-by-step explanation:

Given:

Trapezoid ABCD, having,

median = EF = 4x - 18

base BC = x + 12

base AD = 3x - 4

Required:

Part I: value of x

Part II: Length of BC, AD, and EF.

Solution:

Part I: Value of X

The median length of a trapezoid is said to be the ½ of the sum of the 2 bases of the trapezoid.

Therefore, EF = ½(BC + AD)

4x - 18 = ½((x + 12) + (3x - 4)

4x - 18 = ½(x + 12 + 3x - 4)

4x - 18 = ½(x + 3x +12 - 4)

4x - 18 = ½(4x + 8)

Multiply 2 by both sides

2(4x - 18) = 4x + 8

8x - 36 = 4x + 8

Add 36 to both sides

8x - 36 + 36 = 4x + 8 + 36

8x = 4x + 44

Subtract 4x from both sides

8x - 4x = 4x + 44 - 4x

4x = 44

Divide both sides by 4

x = 11

Part II:

BC = x + 12 = 11 + 12 = 23

AD = 3x - 4 = 3(11) - 4 = 33 - 4 = 29

EF = 4x - 18 = 4(11) - 18 = 44 - 18 = 26

Answer:

15 cm

Step-by-step explanation:

The area of an equilateral triangle is:

[tex]\frac{\sqrt{3} }{4}a^2[/tex], where a is the length of one side.

We can find the value of a (the length) by:

[tex]\frac{25\sqrt{3} }{4} = \frac{\sqrt{3} }{4}a^2[/tex]

[tex]a^2 = 25[/tex]

a = 5, so the side length of this triangle is 5 cm.

The perimeter of an equilateral triangle will be 3 times the length.

[tex]3\cdot5=15[/tex]

Hope this helped!

Answer:

1 is not even and it is a factor of 8

Answer:

1

Step-by-step explanation:

Factors of 8

1,2,4,8

1 is an odd number

This proves that Alice is wrong :(

Hope this helps....

Have a GOOD DAY !!!

Answer:

[tex]\boxed{\sf A, \ B \ and \ E}[/tex]

Step-by-step explanation:

[tex]\sf Exterior \ angles \ are \ the \ angles \ located \ outside \ of \ the \ triangle.[/tex]

Answer:

Area = 2127.1 cm^2  (to the tenth)

Step-by-step explanation:

We may be missing the length of a side at the top of the picture.

However, we are given "a", so the sides of a regular hexagon can be calculated.

The side of a regular hexagon given "a" is

s = 2a/sqrt(3) = 28.61

Perimeter of hexagon

= 6s

Area of hexagon

= a*perimeter/2

= a*6s/2

= 3as

= 3a*2a/sqrt(3)

=2sqrt(3)a^2

= 2*sqrt(3)*24.78^2

= 2127.1 cm^2  (to the tenth)

Answer:

the answer would be shape b

Answer:

B

Step-by-step explanation:

Answer:

[tex]\huge \boxed{y=14x}}[/tex]

Step-by-step explanation:

x=0.5, y=7

x=1, y=14

x=1.5, y=21

x= 2, y=28

Let’s take the first equation.

y = 14x

y = 14(0.5) = 7

When x is 0.5, y is 7.

y = 14(1) = 14

When x is 1, y is 14.

y = 14(1.5) = 21

When x is 1.5, y is 21.

y = 14(2) = 28

When x is 2, y is 28.

330

20 * 6 equals 120 that is the cost price

and 3/5 of the 15 flowers is 9 which was sold for 7

and the remaining that is 15 - 9 that's 6 sold for 50 each

now times it by 70 * 9 equals 630 50 * 6 equals 300 so 630 - 300 equals to 330 that is the profit

I hope this helps

Answer:

66

Step-by-step explanation:

The money he spent:

20 x 6 = 120

=> The number of flowers he bought:

=> 15 x 20 = 300

3/5 of 300 = 900/5 = 180

So, he sold 180 flowers for 70cents.

=> 180 x 70 = 12600 cents

=> 126  dollars

The remaining for 50 cents

=> 2/5 x 300 = 600 / 5 = 120

So, he sold 120 flowers for 50 cents

=> 120 x 50 = 6000 cents

=> 60 dollars

He got a total of 60 + 126 = 186 dollars.

He spent 120 dollars in the starting to buy the flowers.

=> 186 - 120

=> 66 dollars

So, he gets a profit of 66 dollars.

Answer:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

Step-by-step explanation:

1) 10/15=2/3

2) You would have to make certain that they have the same three interior angles.

The right question is:

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Answer:

[tex]x = 6[/tex]

[tex]y = -2[/tex]

Step-by-step explanation:

Given

[tex]\frac{1}{2}x - 3y = 9[/tex]

[tex]5x + y = 28[/tex]

Required

Solve for x and y

Make y the subject of formula in the second equation

[tex]y = 28 - 5x[/tex]

Substitute [tex]y = 28 - 5x[/tex] in the first equation

[tex]\frac{1}{2}x - 3(28 - 5x) = 9[/tex]

Open the bracket

[tex]\frac{1}{2}x - 3*28 - 3*- 5x = 9[/tex]

[tex]\frac{1}{2}x - 84 + 15x = 9[/tex]

Collect Like Terms

[tex]\frac{1}{2}x + 15x = 9+ 84[/tex]

[tex]\frac{x}{2} + 15x = 9+ 84[/tex]

[tex]\frac{x+30x}{2} = 93[/tex]

[tex]\frac{31x}{2} = 93[/tex]

Multiply both sides by 2

[tex]2 * \frac{31x}{2} = 93 * 2[/tex]

[tex]31x = 186[/tex]

Divide both sides by 31

[tex]\frac{31x}{31} = \frac{186}{31}[/tex]

[tex]x = \frac{186}{31}[/tex]

[tex]x = 6[/tex]

Recall that [tex]y = 28 - 5x[/tex]

So;

[tex]y = 28 - 5 * 6[/tex]

[tex]y = 28 - 30[/tex]

[tex]y = -2[/tex]

Hence;

[tex]x = 6[/tex] and [tex]y = -2[/tex]

Answer:

Step-by-step explanation:

[tex] \frac{1}{2} ( - 4 - 2n) = - 17[/tex]

First of all try to see if there are fractions in the equation .

If so try to find the LCM of the fractions and multiply the equation through by the LCM.

If there is only one fraction multiply through by the denominator of the fraction to eliminate the fraction

If there are brackets try to solve the terms in the bracket first

For the above equation there is only one fraction which is 1/2 so we multiply through by the denominator that's 2

That's

[tex]2 \times \frac{1}{2} ( - 4 - 2n) = - 17 \times 2[/tex]

[tex] - 4 - 2n = - 34[/tex]

Try to make the unknown variable the subject

That's

[tex] - 2n = - 34 + 4[/tex]

Simplify

[tex] - 2n = - 30[/tex]

Divide both sides by -2 to make n stand alone

That's

[tex] \frac{ - 2n}{ - 2} = \frac{ - 30}{ - 2} [/tex]

We have the final answer as

Hope this helps you

Answer:

Geometery is used everywhere you go. Construction blueprints, the design of assembly systems in manufacturing, nanotechnology, computer graphics, visual graphs, video game programming virtual reality creation, and etc. It has given us what we have today and why we have everything today. Without geometry to help us how would construction know how to build the bridge so it won't fall. It benefits us in ways people don't expect but everyone should learn it so we can recognize the importance of math to the real world. Stuff wasn't just created it was hard work and dedication which led to the great feeling of accomplishment!

Step-by-step explanation:

Not plagiarized so go ahead and use it.

Answer:

$1200

Step-by-step explanation:

Since the value of the car depreciates $325 a year.

After 4 years it would be 1300, becuase $325 × 4 = $1300.

So, $2500 - $1300 = $1200

Answer:

so first you do

12800*.12 which is  1536

so $1536 for 1 year

for 3 years multiply it by 3

1536*3=

$4608

so 4608+12800 =

17408 is totall

Mark brainliest

Answer:

[tex]\sqrt{\frac{x+2}{-4} }+3=y[/tex] d=(-infinity,-2) r=(3,+infinity)

Step-by-step explanation:

i did the math

Answer:

777 minutes

Step-by-step explanation:

Take the amount it takes carlos add the difference between carlos and raj to get the amount it takes raj

444+ 333 = 777

BAE + HEG = 180°

124 + 2x+6 = 180°

2x+6 = 56

x = 50/2

x = 25°

Reason:

Given

HEG = EAD since they are corresponding angles

EAD + EAB = 180° since they are supplementary angles.

xx

375 milliliters of compound B

Answer:

A

Step-by-step explanation:

From the graph we can notice that the coordinates of the poinrs x and y are:

● x(-2,0)

● y(3,-2)

There are many methods to find the distance between x and y. We will use the distance formula.

Let d be the distance between x and y.

● d = √[(-2-3)^2 + (0-(-2))^2]

● d = √[(-5)^2 + 2^2]

● d = √(25+ 4)

● d = √(29)

The other method was using the pythagorian theorem. d is the hypotenus.

You need to see if it passes the vertical line test, then graph it to see if it is but is a function tho.

Answer: L = V/bh

b= V/Lh and h= V/Lb

Step-by-step explanation: V = Lbh or V= lwh is also used for the Basic form for the Volume of a cube or rectangular prism is

Volume = Length × breadth × height

The volume will be expressed as cubic units such as cubic meters cubic feet. Sometimes abbreviations are used like cm^3 for cubic centimeters.

When you know the Volume, and you need to find a missing dimension, just make a fraction with the V in the numerator and the dimensions you know in the denominator. This means you are dividing the Volume by the area of the dimensions you have been given to find the missing dimension.

Answer:

Solving 5x + y = 5 and - 3x + 2y = 6 gives (4/13,45/13) Similarly solve other combinations by observing graph to get other coordinates. From the figure we have obtained coordinates of corners as:

Step-by-step explanation:

The Solution for the linear equation is ( 6, -7)

First order equations include linear equations. In the coordinate system, the linear equations are defined for lines. A linear equation in one variable is one in which there is a homogeneous variable of degree 1 (i.e., only one variable). Multiple variables may be present in a linear equation.

Given:

2x + y = 5.......................(1)

and, 3x + 2y = 4....................(2)

Multiply the equation (1) by 2 we get

4x + 2y = 10 ....................(3)

Solving Equation (2) and (3), we get

  3x  +  2y  = 4      

  4x  +  2y  = 10

-         -           -

_____________

    -x = -6

      x= 6

and, y= 5- 2x = 5-2(6) = -7

Hence, the solution is (6, -7)

Learn more about linear equation here:

https://brainly.com/question/11897796

#SPJ2

White figure Area = 128[tex]\pi[/tex]

White surface area = appro. 301

Yellow area = 320[tex]\pi[/tex]

Yellow Surface area = approx. 653

Area found with = 2πrh+2πr2

Surface Area found with = 2πrh+2πr2

You need to memorize them for tests

Hope that helped!!! k

Answer:

See below.

Step-by-step explanation:

1)

[tex]64=x^2\\x=\sqrt{64}\\x=8[/tex]

2)

[tex]64=x^3\\x=\sqrt[3]{64}\\ x=4[/tex]

[tex](4^3=64)[/tex]

3)

[tex]2^x=32\\2^x=2^5\\x=5[/tex]

4)

[tex]x=(\frac{2}{5})^3=\frac{2^3}{5^3}=8/125[/tex]

5)

[tex]\frac{16}{9} =x^2\\x=\sqrt{\frac{16}{9} }\\ x=\frac{\sqrt{16} }{\sqrt{9}} \\x=4/3[/tex]

6)

[tex]2\cdot2^5=2^x\\2^1\cdot2^5=2^x\\2^{(1+5)}=2^6=2^x\\x=6[/tex]

7)

[tex]2x=2^4\\2x=16\\x=8[/tex]

8)

[tex]4^3=8^x\\(2^2)^3=(2^3)^x\\2^6=2^{3x}\\3x=6\\x=2[/tex]

Answer:

1) 8

2) 4

3) 6

4) 6/15

5) 4/3

6) 6

7) 8

8) 2

Step-by-step explanation:

Im about to cook dinner just comment if you want work shown.

Answer:

The answer is 7

Length of all the the three segments is equal to the length of the line segment AD

Answer:

Step-by-step explanation:

Given the expression cos(2β)=√3/2 for 0≤β<2π, we are to find the value of β within the range that satisfies the equation.

[tex]cos(2\beta)=\sqrt{ 3}/2\\\\take \ the\ arccos\ of \ both \ sides\\\\cos^{-1}cos(2\beta) = cos^{-1}\sqrt{{3} }/2 \\ \\2\beta = cos^{-1}\sqrt{{3} }/2 \\\\2\beta = 30^0\\\\\beta = 30/2\\\\\beta = 15^0[/tex]

Since cos id positive in the 4th quadrant, [tex]\beta = 360^0-15^0[/tex], [tex]\beta = 345^0[/tex]

Hence the value of [tex]\beta[/tex] that satisfy the equation are 15° and 345°

Converting to radians;

180° = πrad

15° = 15π/180 rad

15° = π/12 rad

345° = 345π/180

345° = 23π/12 rad

The values in radians are  π/12 rad and  23π/12 rad

Answer:

We are talking about Complex numbers.

Considering [tex]\mathbb{C}[/tex] as the set of Complex numbers, we have

[tex]\Bbb{C}=\{a+bi\ : a, b \in\ \Bbb{R}\}[/tex]

A complex number is a number of the form [tex]a+bi[/tex]

as [tex]i^2=-1[/tex]