Natalie and Phil ran for 6th grade class president. The ratio of votes for Natalie to votes for Phil was 4:3.

Which statement is true?


For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 4 votes.

For every vote Phil received, Natalie received 3 votes.

For every vote Phil received, Natalie received 3 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 7 votes.

For every 4 votes Natalie received, Phil received 3 votes.

For every 4 votes Natalie received, Phil received 3 votes.

Answer:

C.  x=2.5, DC=7.5, EC=15

Step-by-step explanation:

since the triangles have congruent angles, the sides have a relationship too. Basically, the ratio between the triangle is 4:10 because those sides math up. So, that also means it is 2:5. Therefore, BC:EC=6:15. 15-12.5=2.5, so x=2.5.

Now you can just do 2.5+5=7.5 so DC=7.5

Answer:

The sum of the two solutions to the given equation is 1/3.

Step-by-step explanation:

Nature of Roots of a Second-Degree Equation

Given a quadratic equation:

[tex]ax^2 + bx + c = 0[/tex]

The roots of the equation are:

[tex]\displaystyle x_1=\frac{-b+ \sqrt{b^2-4ac}}{2a}[/tex]

[tex]\displaystyle x_2=\frac{-b- \sqrt{b^2-4ac}}{2a}[/tex]

The sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{b}{a}[/tex]

The sum of the roots of a quadratic equation is equal to the negation of the coefficient of the second term, divided by the leading coefficient.

We are given the equation:

[tex]3x^2 - x = 4[/tex]

Rearranging:

[tex]3x^2 - x - 4=0[/tex]

The coefficient b is b=-1, and the leading coefficient is a=3, thus the sum of the roots is:

[tex]\displaystyle x_1+x_2=-\frac{-1}{3}[/tex]

[tex]\displaystyle x_1+x_2=\frac{1}{3}[/tex]

The sum of the two solutions to the given equation is 1/3.

Answer:

V≈6795.2in³

Step-by-step explanation:

I think

Answer:

6795.2

Step-by-step explanation:

i got it right

Answer:

-3.5

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

36 attempts

Step-by-step explanation:

Answer:

Ming has 2 friends

(121-9)÷48= 2.3

You can´t split apart people.

First subtract 9 from 121 then divide by 48 to find how man friends Ming has.

Answer:

Each machine would produce 28,750 candies per day. hope it helps

Answer:

3/20

Step-by-step explanation:

just like the other person said

1/2 is the largest because it is 0.500

3/8 is the second largest because it is 0.375 and

3/20 is the smallest because it is 0.150

Have a nice day

Answer:

(1 + 2i)(1 - 2i)

Step-by-step explanation:

Multiplying a complex number and its conjugate results in a real number.

Thus

1 + 2i and 1 - 2i are conjugates

(1 + 2i)(1 - 2i) ← expand using FOIL

= 1 - 2I + 2I - 4I² [ note i² = - 1 ]

= 1 - 4(- 1)

= 1 + 4

= 5 ← a real number

Answer:

C

Step-by-step explanation:

C

Answer:

c. y=7x-2

Step-by-step explanation:

hope this can help

Answer:

F

Step-by-step explanation:

The rise is 8 and run is 6

Answer:

The answer is J) y=-4/3x+8

Answer:

7.78

Step-by-step explanation:

Answer:

The answer is 7.78

Step-by-step explanation:

I had this on a test and got it correct

MARK THE BRAINLIEST PLEASEEE

Answer:

I HATE MATH TeeHee

Step-by-step explanation:

i actually hate it-

ED GE NU IT Y PE OP LE

Answer:

$760 earned in intrest

$10260 new account balance

Step-by-step explanation:

First we have to find 4% of 9500

use the formuala

[tex]\frac{4}{100} =\frac{x}{9500}[/tex]

4×9500=38000

38000÷100=380

now 380×2=760

add 760 to 9500 for new account balance

Answer:

1) 6,000 B) 800 C) 4,000

2)7,500

3)third and fourth one

4)6,951

Step-by-step explanation:

just because

Answer:

1 a. 6043=6000 b. 789=1000 c. 3911=4000

2 7341 is a possible solution

3 350  6000  7900

4 6951

9514 1404 393

Answer:

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Step-by-step explanation:

A graphing calculator or spreadsheet can help you do the square root regression. See the attachment for the result.

  [tex]y=10.9\sqrt{x-0.5}+23.7[/tex]

Answer:

see image

Step-by-step explanation:

Plato/Edmentum

Answer:

y=2/3x-16/3    

Step-by-step explanation:

ok ill show you how to do one question since the rest will take too long so what you do is

equation is y=mx+b right

so you have slope and these points (2,-4) and m=2/3

y=2/3x +b right

now all you do is sub in x and y which are ur given points

-4=2/3 (2) +b

now you solve for b

-4 = 4/3 + b

-4-4/3 = b

-12/3 - 4/3 = b

-16/3=b so therefore

y=2/3x-16/3    

Answer:

p = 3/2

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The break-even point is on both curves. The y-intercept can be used for the other point in each case.

The break-even point is where cost and revenue are the same:

  20/3x +50 = 10x

  50 = 10/3x . . . . . . . . subtract 20/3x

  15 = x . . . . . multiply by 3/10

  r = c = 10(15) = 150 . . . . for x = 10

Two points you can use for graphing the lines are ...

  cost: (0, 50) and (15, 150)

  revenue: (0, 0) and (15, 150)

Answer:

yes the answer would be 0.724

Answer:

ghvucycygifud5duvufysyvkcyxhvucydycibkx

Step-by-step explanation:

huh gg xtdy"#gicyfufucyxyhhjv ycyf cyst

Answer:

the answer is 3×2+2

Step-by-step explanation:

3x2=9+2=11

Answer:

0.22 miles

Step-by-step explanation:

Let

A = Distance pumpkin A travels = 0.61 miles

Distance pumpkin B travels is 0.28 mile farther than Pumpkin A

[tex]B=0.28+A\\\Rightarrow B=0.28+0.61\\\Rightarrow B=0.89\ \text{miles}[/tex]

Distance pumpkin B travels is 0.06 miles further than pumpkin C

[tex]B=0.06+C\\\Rightarrow C=B-0.06\\\Rightarrow C=0.89-0.06\\\Rightarrow C=0.83\ \text{miles}[/tex]

To calculate how much farther pumpkin C travels than pumpkin A we have the subtract their distances

[tex]C-A=0.83-0.61=0.22\ \text{miles}[/tex]

So, pumpkin C traveled 0.22 miles more than pumpkin A.

Answer:

0.78539816

Step-by-step explanation:

hope this helped

Answer:

25m

Step-by-step explanation:

/_B=pie/4=45°

since we have /_C=90° then this triangle is a right isosceles triangle

so sides are equal

so a=b= 25 m

Answer:

186

Step-by-step explanation:

PEMDAS

First do 46 x 8 = 368 then divide that by 2, which would be, 184. Then add 2 to 184 and you get 186. :)

Answer:

The answer is 5 cards.

Step-by-step explanation:

Yu have to add 29 and 16 . When yu do that yu get 45 cards total. Divide 45 by 9 (friends) yu get 5 cards per person.

Answer:

Option (D)

Step-by-step explanation:

Formula to get the average rate of change of the function f(x) between two points x = a and b is,

Average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]

We have to calculate the average rate of change between x = 0 and x = 2.

From the graph attached,

f(0) = -2

f(2) = 6

Therefore, average rate of change = [tex]\frac{6-(-2)}{2-0}[/tex]

                                                          = [tex]\frac{8}{2}[/tex]

                                                          = 4

Option (D) will be the correct option.

Answer:

Original price is 11.25

Step-by-step explanation:

Answer: 60

The percent of sale price is 100% - 25% = 75%

the original price is (45/75).100 = 60$

Step-by-step explanation:

Answer:

Step-by-step explanation:

sin(x) + tan(x) =sin(X) + sin(x)/cos(x)

=sinx(1+1/cosx)

=Sinx(1+secx)

=1+secx/cosecx. (Since sinx=1/cosecx)

Hence LHS=RHS proved