Trina is making 30 sundaes with mint, chocolate, and vanilla ice cream.
1
3
of the sundaes are mint ice cream and
1
2
of the remaining sundaes are chocolate. The rest will be vanilla. How many sundaes will be vanilla?

PEMDAS

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis, Exponents (& Roots), Multiplication, Division, Addition, Subtraction.

First, divide 3 from both sides of the equation:

[tex]\frac{(3x^2)}{3} = \frac{(48)}{3}[/tex]

[tex]x^{2} = \frac{48}{3}\\ \\x^2 = 16[/tex]

Next, isolate the variable, x, by rooting both sides of the equation:

[tex]\sqrt{x^{2} } = \sqrt{16}\\ x = \sqrt{16} = \sqrt{4 * 4}[/tex]

x = ±4

C) ±4 is your answer.

~

Answer:

a= 28.27

Step-by-step explanation:

[tex]a=\pi r^2[/tex]

[tex]a=\pi 3^2\\a=28.27[/tex]

Step-by-step explanation:

given :

h = 50 ft

the angle if elevation , a = 50°

find :

the distance , d =?

the answer:

tan a = h/d

d = h /tan a

= 50/ tan 50°

= 50 / 1,19

= 42,02 ft

Let's see

Answer:

39.37 in

Step-by-step explanation:

Answer:

Step-by-step explanation:

c

Answer:

Odd: f(-x) = -f(x)

Step-by-step explanation:

Odd: f(-x) = -f(x)

f(-1) = 5

-(f(1)) = 5

Answer:

The answer is 21

Step-by-step explanation:

The parallelogram is divided into two congruent traigle so the area of green traigle is equal to area of blue traigle the sum of area of both these traigle is the area of parallelogram

So

2*10.5=21

PLEASE

Answer:

answer recent question of my pr.ofil.e

Answer:

x ≥ -1

Step-by-step explanation:

Hello!

Solve for x by isolating the variable.

The inequality is true for all values of x greater than or equal to -1.

Answer:

Can you help me............. In my question

Answer:

800 bacteria

Step-by-step explanation:

Answer of this question depend upon number of hours at the end of day

Let Take Full Day of 24 hrs

Colby bacteria will doubled 12 times ( doubled once in 2hrs => 24/2 = 12)

Colby bacteria at end of day = 50 * 2¹²

Jaquan bacteria will doubled 8 times ( doubled once in 3hrs => 24/3 = 8)

Let say Jaquan bacteria at start  of Day = J

Jaquan bacteria at end of day = J * 2⁸

Equating Both

J * 2⁸ = 50 * 2¹²

=> J = 50 * 2⁴

=> J = 50 * 16

=> J = 800

Jaquan will start  with 800 Bacteria

The linear equation that shows the total number of square yards refinished after x weekdays is given by:

y = 10 + 8x.

A linear function is modeled by:

y = mx + b

In which:

In this problem:

Thus, the equation is given by:

y = 10 + 8x.

More can be learned about linear equations at https://brainly.com/question/24808124

Answer:

WFF

Step-by-step explanation:

savoy..it's me Wolfie it's been so long, I really hope you remember me...

Model mural::

L*W = 0.3 sq. ft

--------------

Actual mural::

(5L)(5W) = 25*LW = 25*0.3 = 7.5 sq ft.

Answer:

d

Step-by-step explanation:

I got it right on the test

Answer:

173 degrees

Step-by-step explanation:

we know AED + AEB + BEC + CED = 360

AEB = 112

to find BEC, we have B + BCE + BEC = 180 because they form a triangle. so BEC = 180 - B - BCE = 180 - 73 - 79 = 28

to find CED, follow the same steps as BEC: 180 - 37 - 96 = 47

now AED = 360 - AEB - BEC - CED = 360 - 112 -  28 - 47 = 173

Answer:

-1

Step-by-step explanation:

g(2) = (2) - 3(2) + 4(2) - 5

g(2) = 2 - 6 + 8 - 5

g(2) = 2 - 6 + 3

g(2) = 2 - 3

g(2) = -1

Answer:

the remNING MAS IS 345

Step-by-step explanation:

I DID THIS BEFORE

Answer:

Give options :/

Step-by-step explanation:

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To find the approximate distance the ball travels after making a full rotation around the triangle of friends, we need to calculate the sum of the distances between each pair of friends.

Distance between Luke and Serena:

√[(4 - 4)² + (9 - (-14))²]

= √(0 + 23²)

= √529

= 23 feet

Distance between Serena and Nick:

√[(4 - (-8))² + ((-14) - (-2))²]

= √(12² + (-12)²)

= √(144 + 144)

= √288

= 16.97 feet (approx.)

Distance between Nick and Luke:

√[((-8) - 4)² + ((-2) - 9)²]

= √((-12)² + (-11)²)

= √(144 + 121)

= √265

= 16.28 feet (approx.)

Now, to get the approximate total distance traveled, we add the distances together:

Total distance ≈ 23 + 16.97 + 16.28

                        = 56.25 feet

The approximate distance the ball travels after making a full rotation around the triangle of friends is approximately 56.25 feet.

The closest option to this value is option B: 57.94 feet.

To learn more about the distance between two points;

https://brainly.com/question/24485622

#SPJ3

Answer:

x=-50

Step-by-step explanation:

I used the method of balancing equations:

Add -40x to both sides

-38x+43 + 40x = -40x-57+40x

Simplify:

2x+43 = -57

Subtract 43 from both sides:

2x+43 -43 = -57 -43

Simplify:

2x =  -100

Solve for x

2x÷2 = -100÷2

x = -50

Hope this helped and brainliest please

Answer:

Step-by-step explanation:

In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .

So let's start our Solution : -

[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]

Step 1 : Subtracting 43 on both sides :

[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]

On calculating further , We get :

[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]

Step 2 : Adding 40x on both sides :

[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]

On calculating further , We get :

[tex] \hookrightarrow \:2x = - 100[/tex]

Step 3 : Dividing by 2 on both sides :

[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]

On calculating further , We get :

[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]

Verifying : -

Now we're verifying our answer by substituting value of x in given equation . So ,

Therefore , our solution is valid .

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at https://brainly.com/question/24863377

Answer:

check the explaination :) hope this helped

Step-by-step explanation:

V of large cone =  1107 π m^3

V of small cone = 405 π m^3

Total V =   1512 π m^3

Step-by-step explanation:

quotient is a result of the number

divided by a number

and if u want to divided with zero so division are not exis

can't divided by 0

Answer:

ALTERNATE INTERIOR ANGLES is the answer

Answer: the answer is the last one . Alternate interor angles

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

I see you already got other answers but I'm going to offer a more in depth explanation to help with similar questions in the future.

The equation you have here is in the form of y = mx + b

You may have seen this in one of your lessons, maybe refered to as slope, y-intercept form?

We have y = -6x + 640

If we break it down we can see how this is in y = mx + b form.

y is the ounces of water in a water cooler

x is the number of paper cups filled

-6 is our m

and 640 is our b

The question is asking about 640 (our b) so I will talk about that first.

This is the y-intercept, the point where, if we were to graph this (see attachment, green dot on the line), that the line would cross the y-axis. This is the point where x is zero.

In our case this would be the amount of water in the cooler when we have filled zero paper cups with water. Hence the answer being D.

Now I will explain the m value, -6 in this case.

This is the rate of change (or slope).

For this question it is how much water we take out (negative value) per paper cup. In other words, how much water goes into each paper cup, -6 ounces.

Take a look at the second attachment. You can see that I go 6 hops down and 1 hop right (yellow line). This is because we always view our m value as a fraction.

In this case, because we have -6, it appears to not be a fraction but a whole number. Always remember that any whole number is just a fraction over 1. We can rewrite our -6 as -6/1.

Slope is written as rise/run. This means that we rise (vertical, up & down) by our top (numerator) value (in this case go down 6, because the 6 is negative) and run (horizontal, left & right) by our bottom (denominator) value (in this case go right 1, because the 1 is positive).

***Remember: positive rise, go up; negative rise, go down. Positive run go up; negative run go down.

Hope this will help you in the future!

Answer: Reflection across the y-axis

Step-by-step explanation:

A reflection over a y-axis means that the original point (x, y) becomes (-x, y)

The original point (-2, 1) should become (-(-2), 1) which becomes just (2, 1).

(2, 1) is the reflected point hence it is a reflection across the y-axis