Marcus raised $24 by selling 40 packs of chips for the football club She sold Doritos for 50 cent each and takis for 75 cents each Write a system of equation that could be used to determine how many of each type of chips

The equation matches the function provided in the graph is: y = sin(x + π/2)

The sine function is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where a is the amplitude of the function.

We are told that a graph of a trigonometric function is given:

We know that:

y = sinx has a sinusoidal graph

Based on the graph, we can apply a transformation to get the required function.

Applying transformation:

x → x + π/2

The sine function will shift left side by π/2 unit

The equation of the function becomes:

y = sin(x + π/2)

The equation of the function shown in the graph is y = sin(x + π/2)

Thus, the equation matches the function provided in the graph is y = sin(x + π/2)

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The simplified expression of 4√6/√30 by rationalizing the denominator is (8√5) / 15.

To rationalize the denominator, multiply both the numerator and denominator by a factor that will eliminate the radical from the denominator.

In this case, multiply both the numerator and denominator by the radical conjugate of the denominator, which is also √30.

(4√6)/√30 = (4√6/√30) × (√30/√30)

= (4√6√30) / 30

= (4√(630)) / 30

= (4√180) / 30

= (4√365) / 30

= (4 x 6√5) / 30

= (8√5) / 15

Therefore, the simplified expression is (8√5) / 15.

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Answer:

\(P(business\ or\ personal) = 69.8\%\)

\(P(Not(business\ or\ personal)) = 30.2\%\)

Step-by-step explanation:

The question has missing details; however, the giving parameters are:

\(P(business) = 45.8\%\)

\(P(personal) = 54\%\)

\(P(both) = 30\%\)

Solving (a): Business or Personal

This is calculated as follows:

\(P(business\ or\ personal) = P(business) + P(personal) - P(both)\)

\(P(business\ or\ personal) = 45.8\% + 54\% - 30\%\)

\(P(business\ or\ personal) = 69.8\%\)

Solving (b): Not business or personal

This is calculated using complements of probability;

\(P(Not(business\ or\ personal)) = 1 - P(business\ or\ personal)\)

\(P(Not(business\ or\ personal)) = 1 - 69.8\%\)

\(P(Not(business\ or\ personal)) = 30.2\%\)

Answer:

Kindly check attached picture for bar chart

Step-by-step explanation:

Given :

Grilled_salmon chicken_salad Beef_stew Ham_pie Bacon_burger cheese_pizza

3500 4000 3000 4500 3750 2250

Answer:

x³-x²+2x-2

That's the answer

Answer:

A=√26

-

2

Step-by-step explanation:

thank me later bye

Word Problem: Sophie and Joan need to determine whether or not they have enough paint to paint the walls of their bedroom. They need 2 6/7 gallons of paint in order to cover the entire room. Sophie has brought 5/6 of a gallon of paint. What is the minimum amount of paint Joan needs to bring in order to paint the entire wall?

Answer: 2 1/42 gallons

Solving Steps:

I hope this helps!! :)

Answer:

There are 35 adult dogs and 20 puppies

Step-by-step explanation:

Represent the puppies with P and the Adult dogs with A

Given

\(A : P = 7 : 4\)

Dogs = 55

Required

Determine A and P

First, we need to sum the ratios;

\(Total = A + P\)

\(Total = 7 + 4\)

\(Total = 11\)

Adult Dogs is then calculated as follows;

\(A = \frac{A\ Ratio}{Total} * Dogs\)

\(A = \frac{7}{11} * 55\)

\(A = \frac{385}{11}\)

\(A = 35\)

Puppies is calculated by subtracting the number of adult dogs from the total

\(P = Dogs - Adult\ Dogs\)

\(P = 55 - 35\)

\(P = 20\)

Hence;

There are 35 adult dogs and 20 puppies

Answer:

x = 24.6

Step-by-step explanation:

Reference angle = 26°

Opposite side to reference angle = 12

Adjacent side = x

Thus, apply TOA (trigonometric ratio)

Tan 26 = opp/adj

Tan 26 = 12/x

x × tan 26 = 12

x = 12/(tan 26)

x = 24.6 (nearest tenths)

Answer: the present age of son is 15 years, and the present age of father is 45 years.

Step-by-step explanation:

Let the age of son be 'x' and that of his father be 'y'.

So according to the question, the 1st equation that can be formed will be:

y = 3(x) ->(1)

[as father's age is 3 times the age of son]

Now after 5 years:

Age of son = (x+5)

Age of father = (y+5)

So according to the question, the 2nd equation that can be formed will be:

(y+5) = 2.5×(x+5) ->(2)

[as father is now two and half times old as his son]

Substituting the value of equation (1) in (2), we get:

(3x+5) = 2.5×(x+5)

=> 3x + 5 = 2.5x + 12.5

=> 3x - 2.5x = 12.5 - 5

=> 0.5x = 7.5

=> x = 7.5/0.5 = 15

Thus, the present age of son is 15 years.

Note : we can calculate the age of father by putting the value of x in equation (1) or (2):

y = 3(x) = 3 × 15 = 45 (putting x in equation 1)

Thus, the present age of father is 45 years.

After 4.5 seconds, the baseball will have dropped approximately 99.35 meters.

To find out how far the baseball will have dropped after 4.5 seconds, we need to use the free fall formula.

The terms involved in this calculation are:
Time (t): 4.5 seconds.

Acceleration due to gravity (g): 9.81 m/s² (approximated)
Distance dropped (d)
The free fall formula is:
\(d = (1/2) \times g \times t^{2}\)
Now, we will plug in the given values and solve for d:
Substitute the values
\(d = (1/2) \times 9.81 \times  (4.5)^{2}\)
Calculate the square of time
\(d = (1/2) \times 9.81 \times 20.25\)
Multiply the values
d = 99.3525.

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Jordan spend 25 minutes writing each dayNoHow much time does Jordan spend writing each dayFrom the question, we have the following parameters that can be used in our computation:D + W = 75W + 25 = DSo, we haveW + W + 25 = 75EvaluateW = 25This means that Jordan spends 25 minutes on writing is it possible?Based on the answer in (a), the truth statement is No

Answer:   y=-2x+9

Step-by-step: Subtract 2x from 2x+y=9 and get y=-2x+9

Answer:

The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.

The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.

So, the impulse on the ball is -80 kg m/s.

Answer:

Investigating the sequence it can be deduced that the next in the sequence is 34791112

Step-by-step explanation:

What is sequence?

Sequence refers to arrangement of list of numbers following a specific pattern.

Once the pattern of arranging a sequence is established other numbers in the sequence can be generated.

How to generate the next number in the sequence

the given data from the question include:

2,2,5,12,62,749,46450

The pattern in the sequence is

third term * 2nd term + first term

third term = 5

2nd term = 2

first term = 2

5 * 2 + 2 = 12

similarly using same pattern gives

12 * 5 + 2 = 62

62 * 12 + 5 = 749

749 * 62 + 12 = 46450

46450 * 749 + 62 = ?

? = 34791112

THANKS

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$. Therefore $x=y=12\sqrt{3}$, which is our answer

In a 30-60-90 triangle, the sides have the ratio of $1: \sqrt{3}: 2$. Let's apply this to solve for the variables in the given problem.

Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form. x=y=Let's first find the ratio of the sides in a 30-60-90 triangle.

Since the hypotenuse is always twice as long as the shorter leg, we can let $x$ be the shorter leg and $2x$ be the hypotenuse.

Thus, we have: Shorter leg: $x$Opposite the $60^{\circ}$ angle: $x\sqrt{3}$ Hypotenuse: $2x$

Now, let's apply this ratio to solve for the variables in the given problem. We know that $x = y$ since they are equal in the problem.

Using the ratio of the sides, we have:$x\sqrt{3} = 12\sqrt{3}$ (opposite the $60^{\circ}$ angle is 12$\sqrt{3}$)$x = 2\sqrt{3}\cdot6$ (the hypotenuse is $2x = 12\sqrt{3}$)Simplifying, we have:$x = 12\sqrt{3}$

Therefore, $x=y=12\sqrt{3}$, which is our answer.

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Answer:

p=1/8     q=3/4

Step-by-step explanation:

-2p+7q=5

-6p+35q=51/2

cancel out a variable

(-5)(-2p+7q=5)

-6p+35q=51/2

10p-35q=-25

-6p+35q=51/2  =

4p=1/2

4p/4=1/2  /4

p=1/8

substitute p=1/8 into one of the equation to find q

-2p+7q=5

-2(1/8)+7q=5

-1/4+7q=5

7q=5+1/4

7q=21/4

q= 21/4  /7

q=3/4

Step-by-step explanation:

these are the answer s hope this helps.

Lateral area of a cylinder: 2 π r h

Where:

r = radius

h= heigth

Replacing:

LA = 2 π (5) 11 = 345.58 ft2

Answer:

\(|\frac{x}{y} |\)

Step-by-step explanation:

We are given the following expression: \(\sqrt\frac{x^3y^5}{xy^7}\), where x > 0 and y > 0.

We want to simplify it.

To do that, we can first simplify what is under the radical, then take the square root of what is left.

Recall that when simplifying exponents, we don't want any negative or non-integer radicals left.

To simplify what is under the radical, we can remember the rule where \(\frac{a^n}{a^m} = a^{n-m}\).

So, that means that \(\frac{x^3}{x} = x^2\) and \(\frac{y^5}{y^7} = y^{-2}\) .

Under the radical, we now have:

\(\sqrt{x^2y^{-2}}\)

Now, we take the square root of both exponents to get:

\(|xy^{-1}|\)

The reason why we need the absolute value signs is because we know that x > 0 and y > 0, but when we take the square root of of \(x^2\) and \(y^{-2}\) , the values of x and y can be either positive or negative, so by taking the absolute value, we ensure that the value is positive.

However, we aren't done yet; remember that we don't want any radicals to be negative, and the integer of y is negative.

Recall that if \(a^{-n}\), that is equal to \(\frac{1}{a^n}\).

So, by using that,

\(|x * \frac{1}{y} |\)

This can be simplified to:

\(|\frac{x}{y} |\)

Answer:

The range of the function f(x) :  is y > 0.

The correct option is (A)

Step-by-step explanation:

The definition of range is the set of all possible values that the function will give when we give in the domain as input.

Given function is :

If we draw the graph for this, then we can see that the horizontal asymptote is 0.

So,  the range is real numbers higher than 0.

Hence, the range should be y > 0.

Answer:

1250 ml

Step-by-step explanation:

Answer:

I’m glad you asked!

Step-by-step explanation:

2/5 + 750 ml equals the full jar amount or capacity.750/ 3 equals 250.That makes 150 the denominator.Now we just need to multiply 250 by 5.

\(250 x 5 = 1250.\)

Answer:

-73

Step-by-step explanation:

if f is 73

and they made f negative, they just made 73 negative too.

i don't know if there is more in that expression

all i can see is

-f=___

Answer:

B. 19

12,198÷642 so the final answer will be 19.

Answer:

Explanation:

Here, we want to find the length of the legs of the right triangle given the area and the length of the hypotenuse

We have the sketch of the triangle as shown below:

According to Pythagoras' the square of the length of the hypotenuse equals the sum of the squares of the length of the two other sides

Thus, mathematically:

Mathematically, we have the area calculated as:

Now, we have two equations to solve simultaneously

Substitute equation ii into i

We have that as:

The distance between the fire and station B is 10.7miles

The sine rule states that if a, b and c are the lengths of the sides of a triangle, and A, B and C are the angles in the triangle; with A opposite a, etc., then a/sinA=b/sinB=c/sinC.

The angle at A = 90- 35

= 55°

The angle at B = 90-49

= 41°

Angle at the fire = 180-(41+55)

= 180-96 = 84°

Using sine rule

sin84/13 = sin55/x

xsin84 = 13sin55

0.995x = 10.65

x = 10.65/0.995

x = 10.7 miles

Therefore the distance between the fire and station B is 10.7 miles.

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