Serena makes 2 1/4 cups of popcorn using 1 1/2 tablespoons of kernels. She wants to know how many tablespoons of kernels to use to make 6 cups of popcorn

Answer:

5t-4n+2

Step-by-step explanation:

n-5n=-4n

5t-4n+2

Answer:

x = 19

Step-by-step explanation:

use the distributive property

3(x - 9) = 30

3x - 27 = 30

     +27   +27

3x = 57

divide by 3

x = 19

Hope this helped! Have a nice day! Plz mark as brainliest!!! :D

-XxDeathshotxX

Answer:

The value of x is 19.

Step-by-step explanation:

The steps are :

3(x- 9) = 30

3(x - 9) ÷ 3 = 30 ÷ 3 [eliminate 3 on left side]

x - 9 = 10

x - 9 + 9 = 10 + 9 [eliminate -9 on left side]

x = 19

Answer:

The answer to this question is A

The new coordinates will be C( 3 ,0),  D( 7,1) , E(2,4) , Option A is the correct answer.

When a object or a figure is reflected , it means an mirror image if the object is being created , the shape and size of the object remains same , Only the coordinates change on the basis of the axis used for Reflection.

The figure is given in the question.

The coordinates of the figure is

C( -3 ,0)

D( -7,1)

E(-2,4)

When reflection is done along any axis , the coordinates of the other axis change sign.

so in this case ( x,y ) -----> ( -x,y)

The new coordinates will be

C( 3 ,0)

D( 7,1)

E(2,4)

Therefore Option A is the correct answer.

To know more about Reflection

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Answer:

2+2.35<47

Step-by-step explanation:

because the taxi charge $2 + $2.35 per mile and < means you spend less than $47.

Answer:

Step-by-step explanation:

Complement to 60° = 30°

cos(30°) = sin(60°) = 0.866

Answer:

0.866.

Step-by-step explanation:

We use the identity

sin x = cos (90-x)

So the cosine of the complementary angle is also 0.866.

Answer:

1500

Step-by-step explanation:

Total cost would be 60%+40%

Since we have 60% amount already

0.60* total cost=900

total cost=90000/60

=1500

Answer:

Step-by-step explanation:

after 2 seconds the ball would be 96 feet in the air

in 9 seconds will it reach its max height

max height=136ft

Answer:

this is not equal to zero

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

Answer:

32 times as many bacteria after 5 days

Answer:

30,000 meters squared.

Answer:

Step-by-step explanation:

Answer:

The answer is 90 because 125 subtract 35 is 90 dollars

Step-by-step explanation:

125-35=90

Answer: 21.98

Step-by-step explanation:

Step-by-step explanation:

x²+2x+y²-2y=62

using completing the square

x²+2x+1+y²-2y+1=62+1+1

(x+1)²+(y-1)²=64

(x+1)²+(y-1)²=8²

(x-a)²+(y-b)²=r²

by comparison

(a,b)=(-1,1)

a,b is the center of the circle

r=8unit

r is the radius

Answer:

[tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Step-by-step explanation:

Skills required: Ordering a set of numbers

1) [tex]-8,-19,0,\frac{1}{4}, \frac{1}{2}[/tex] are the numbers we are given. There are 2 important things to think about when ordering this set.

2) Based on this, we can split the 5 numbers into 3 groups:

3) Starting with the negative group, we can easily find which number is greater.

-1 is greater than -2.

-23 is greater than -35.

Based on this: -8 is greater than -19. That means when ordering our numbers, -8 is the first number, and -19 is the second number

4) 0 is the 3rd number, since it is less than positive numbers and greater than negative numbers

5) Now onto the positive numbers, which is also easily solvable.

When you have two fractions, there are different ways to find out which fraction is greater than the other. I will show you 2 different ways here.

This means that [tex]\frac{1}{4}[/tex] is the 4th number, and [tex]\frac{1}{2}[/tex] is the 5th term.

Our ordered pair would then be: [tex]-19,-8,0,\frac{1}{4}, \frac{1}{2}[/tex]

Hope this helps and have a nice day!! :) :] :D

Step-by-step explanation:

ok so for number 1 you first have to group the like terms therefore you will now have:

9r-4r+8-6

and now you calculate:

9r-4r=5r

8-6=2

so that means 5r-2 is simplied version for no.1

for number you 2 you first multiply why is inside the brackets by what is in the outside:

2(x+3y)

2x+6y (simplified version)

hope this helps! no problem

Answer:

4/5

Step-by-step explanation:

Answer:

What?

Step-by-step explanation:

Okay, the formula, then what?

Answer:

the answer is v=bh/3

Step-by-step explanation:

I solve for V since you didn't put what letter you wanted the question to be solved for.

hope this helps.

Answer:

z=4; y=8

Step-by-step explanation:

look up 30-60-90 triangle side length formulas: it will explain it better than I can

Answer:

x=-4     y=-7

Step-by-step explanation:

-4x+y=9     get y alone

add 4x both sides

y=4x+9

insert into y=2x+1

2x+1=4x+9

subtract 1 both sides

2x=4x+8

subtract 4x both sides

-2x=8

divide by -2

x=-4

y=2x+1

y=2(-4)+1

y=-8+1

y=-7

check

-4(-4)+(-7)=9

-16+(-7)=9

9=9

x=-4

y=-7

gl

Answer:

Step-by-step explanation:

Midpoint of line segment = (1,-3)

Slope of line segment = (-1-(-5))/(3-(-1)) = -3/2

Perpendicular bisector:

y+3 = ⅔(x-1)

y = ⅔x - 11/9

Answer:

BC is 4

Step-by-step explanation:

Use a proportion to solve

AB is 2 (AD is 5 and BD is 3- so 5-3)

[tex]\frac{2}{x} = \frac{5}{10}[/tex]

[tex]5x=20\\x=4[/tex]

History of algebra

Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property).

This article describes the history of the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.

Answer:

Option B

Step-by-step explanation:

Option A, C and D have x- values that repeat and you cannot have that.

Y values can repeat but not x-values.

Option B has all x values with different y-values

Answer:

B.

Step-by-step explanation:

an output can have more than one input but an input can only have one output

basically only one arrow can go from the input to the output and b is the only one who's graph thing is like that

hope this helps <3

The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

The right is a triangle with has one angle 90° and square of hypotenuse is equal to the sum of square of other two legs.

Given that, the set of measurements representing the side lengths of a right triangle,

We will check the measurements by seeing if they are following the Pythagoras theorem or not,

Option A)

16 ft, 30 ft, 34

16²+30² = 1156 = 34²

∴ 16²+30² = 34²

Option B)

9²+12² = 225 = 15²

9²+12² = 15²

Option C)

7²+24² = 625 = 25²

7²+24² = 25²

Option D)

5²+7² = 74 ≠ 12²

Since, 5ft. 7 ft, 12 ft set of  measurements are not following the Pythagoras theorem.

Therefore, it's not a right triangle.

Hence, The set of measurements could not represent the side lengths of a right triangle is 5ft. 7 ft, 12 ft.

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Answer:

the answer is 4

Step-by-step explanation:

5x=16+4

5x=20

X=4