Celine is making a special gelatin dessert for the Constellation Club meeting. She plans to fill
a large moon-shaped mold with 8 ounces of gelatin. She wants to use the rest of the gelatin
to fill small star-shaped molds. Each star-shaped mold holds 2 ounces, and the package of
gelatin she bought makes 48 ounces in all. How many star-shaped molds can Celine fill?

Answer:

[tex]x {}^{2} + 5x + 6 \\ {x}^{2} + 3x + 2x + 6 \\ x(x + 3) + 2(x + 3) \\ (x + 3) (x + 2)\\ \\ ( {x}^{2} + x - 6) \\ {x}^{2} + 3x - 2x - 6 \\ x(x + 3) - 2(x + 3) \\ (x - 2)(x + 3) \\ \\ {x}^{2} - 9 \\ (x - 3)(x + 3) \\ \\ the \: hcf \: = (x + 3)[/tex]

the answer is 78

Step-by-step explanation:

10×7+9x-1=78

Answer: The answer is -1

Step-by-step explanation:

Answer: x=16

Step-by-step explanation:

Move the variable to the left-hand side and change its sign

5 x - 3- 3 x =29

Move the constant to the right-hand side and change its sign

5 x - 3 x = 29 + 3

Collect like terms

2 x = 29+ 3

Add the numbers

2x= 32

Divide both sides by 2

and you get x=16

Step-by-step explanation:

5x - 3 = 3x + 29

5x - 3x = 29 + 3

2x = 32

x = 32/2 = 16

x = 16 ans

therefore, value of x is 16.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

2

Step-by-step explanation:

Answer:

[tex] \: \: \: \: \: \: \: [/tex]

Answer:

_16,-13,-9,0

Step-by-step explanation:

hope this helps u out!!

Answer:  The job pays $32,400 per year, and the agency fee is equal to 45% of one month's pay.

Answer:

a x 10b or 2.02 x 10³

Step-by-step explanation:

Have a great day!

Answer:

y = -12.35

Step-by-step explanation:

Plug in 2.65 for x giving you y = 2.65 - 15

Answer:

20, 30, 35, 45, 15

Step-by-step explanation:

Just got to multiply all numbers by 5 little guy

Answer:

u need to use the quadratic formula

Step-by-step explanation:

I think this is about it

Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar

Step-by-step explanation:

Answer:

1 tablespoon of dat soap to 2 table spoons of dat vinegar.

Step-by-step explanation:

So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6  twice. So, 1 tablespoon of dish soap  is it 2 table spoons of vinegar.

another way to look at it:

1tbs dish soap = 2tbs vinegar

2tbs dish soap  = 4tbs vinegar

3tbs dish soap = 6tbs vinegar

Answer:

[tex] {x}^{3} + 2 {x}^{2} - 15x \\ x( {x}^{2} + 2x - 15) \\ x( {x}^{2} + 5x - 3x - 15) \\ x(x(x + 5) - 3(x + 5) \\ x((x + 5)(x - 3)) \\ {x}^{2} -7x + - 12 \\ {x}^{2} - 4x + 3x - 12 \\ x(x - 4) + 3(x - 4) \\ (x - 4)(x + 3) \\ 3 {x}^{2} - 27 \\ 3( {x}^{2} - 9) \\ 3((x + 3)(x - 3)) \\ \\ the \: hcf \: = (x + 3)[/tex]

Answer:

answer-8 Inches.

Step-by-step explanation:

Area of triangle=160 square inches

Base of triangle=40 inches

160=1/2×40×height

160 =20×height

160/20=height

height=80 inches.

Answer:

62 days

Step-by-step explanation:

496/8 = 62

496/8=62

Hope this helps!

Answer:

Polly has to pay $0.24 per yard of fabric.

Step-by-step explanation:

You simply have to divide the 6.8 yards by the $28.90 cost. The result is $0.235294118 dollars per yard, but since you can't have only half a cent, we will round it to the nearest hundredths and get $0.24 dollars.

Answer:

50% decrease

Step-by-step explanation:

50% = half

half of 42 is 21

there are 21 left, so 21 (which is half or 50%) were adopted

Answer:

1.6

hope this helps you!!!!!!!

Step-by-step explanation:

the answer which I have solved is in the image if you have any query then please ask...

Answer:

7300

Step-by-step explanation:

this is because 3 is in the hundreds column and is rounded down

because the number behind is 3 so it stays the same some it is 7300

[tex]\\ \sf\longmapsto Speed=\dfrac{1mi}{439.92s[/tex]

[tex]\\ \sf\longmapsto Speed=0.00227mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.0023mi/s[/tex]

[tex]\\ \sf\longmapsto Speed=0.002mi/s[/tex]

Answer:

96

Step-by-step explanation:

Answer:

96

hope this helps you!!

Answer: A. (4,6)

Step-by-step explanation: 2(6y−4x = 20)                                                   3(−4y+3x = −12)                                                                                                     −8x+12y = 40                                                                                                     9x−12y = −36                                                                                                   -8x+9x                                                                                                                 +12y-12y                                                                                                               40-36                                                                                                                     x=4                                                                                                                   6y−4x = 20                                                                                                       6y−(4)(4) = 20                                                                                                   6y−16+16 = 20+16                                                                                                 6y/6 = 36/6                                                                                                           y = 6                                                                                                                       x = 4, and y = 6.

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

The given system of equations are 6y-4x=20 and -4y+3x=-12.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Here,

6y-4x=20 ----------(I) and -4y+3x=-12 ----------(II)

Multiply equation (I) by 3, we get

-12x+18y=60 ----------(III)

Multiply equation (II) by 4, we get

12x-16y=-48 ----------(IV)

Add equation (III) and (IV), that is

-12x+18y+(12x-16y)=60-48

⇒ 2y=12

⇒ y=6

So, 6y-4x=20

⇒ 36-4x=20

⇒ -4x=-16

⇒ x=4

The solution for the given system of equations is (4, 6). Therefore, option A is correct answer.

To learn more about the linear system of an equations visit:

https://brainly.com/question/27664510.

#SPJ2

Answer:

$8

Step-by-step explanation:

60% of 30 is 16.

1/2 of 16 is 8.

He has $8 left.

Answer:

- 27/40

Step-by-step explanation:

Answer:

2.45 g/cm3

Step-by-step explanation:

It's a cube, so all the side lengths are the same. It's volume is [tex](5cm)^3[/tex] = [tex]125 cm^3[/tex].

At this point, we apply the definition of density [tex]\rho = \frac mV[/tex] where m is the mass and V the volume.[tex]\rho = \frac{306.25g}{125 cm^3} = 2.45 g/cm^3[/tex]

The absolute value function that could represent this situation is:

[tex]|D - 42.67| = 0.002[/tex]

The absolute value function is defined by:

[tex]|x| = x, x \geq 0[/tex]

[tex]|x| = -x, x < 0[/tex]

The diameter should be of 42.67 mm with an allowance of 0.002 mm. Thus, the absolute value of the difference between the diameter and of 42.67 should be of 0.002, that is:

[tex]|D - 42.67| = 0.002[/tex]

A similar problem is given at https://brainly.com/question/24514895

Answer:

-15/4

Step-by-step explanation:

Answer: Its - 15/4 or 05/12 but the person above me is correct

Step-by-step explanation:

Answer:

2401

Step-by-step explanation:

two thousand four hundred and one

Step-by-step explanation:

First let's put your equation

[tex]7 {}^{4} [/tex]

This also be phrased as

[tex]7 \times 7 \times 7 \times 7[/tex]

Now let's start solving

[tex]49 \times 7 \times 7 [/tex]

Multiply again and we get

[tex]343 \times 7[/tex]

and finally when we multiply again

[tex]2401[/tex]

Answer:

Step-by-step explanation:

im not a genius at math, but i will give it a shot

scenario 3:

let m= cost per minute for WDE, let b= flat fee for WDE

42.5=50m+b

65=100m+b

subtract the two equations

65-42.5=50m

m= .45 (this is the cost per minute on WDE wireless)

plug in m=.45 into the first equation

42.5=50(.45)+b

b= 20 (this is the fixed monthly fee for WDE wireless)

HTR offers .25 per minute, whereas WDE offers .45 a minute which means that HTR has the cheaper per minute rate

htr has the equation .25x+30

WDE has the equation .45x+30

set them equal to each other and solve for x .25x+30=.45x+20

x= 50 minutes

Scenario 4:

Same deal as last question, let m=cost/movie, b=flat fee

41.25=5m+b

57.5=10m+b

subtract the two equations and solve for m

57.5-41.25=10m-5m+b-b

m= 3.25 (slope)

b=25  (y intercept)

y=3.25x+25

y=3.25(125)+25  = 431.25

3.25x+25=2.75x+35

.5x= 10

x= 20

There are many ways of doing it, but here is mine.

Step-by-step explanation:

x = 6, y = 16

So now you multiply six by four and you will get twenty four plus sixteen, if you add them then you will get forty.