The 6th grade class is going on a Field Trip. The Adult to Student ratio is 2:5. If there are a total of 70 people on the Field trip, how many adults are on the field trip?
Plz Help plz

The cost of 8 family passes to the amusement park is $432 when a family pass to the amusement park costs $54.

To find the cost of 8 family passes to the amusement park, we can use the Distributive Property of multiplication over addition. The Distributive Property states that a(b + c) = ab + ac, where a, b, and c are numbers. In this case, we can use the Distributive Property to write:

8 x $54 = (5 x $54) + (3 x $54)

We can see that we have broken 8 down into two smaller numbers that we can multiply by $54 individually, and then add together. The first term, 5 x $54, represents the cost of 5 family passes, while the second term, 3 x $54, represents the cost of 3 family passes. Adding these two values together, we get:

(5 x $54) + (3 x $54) = $270 + $162 = $432

Therefore, the cost of 8 family passes to the amusement park is $432.

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Answer:

The answer is A.) 9

Step-by-step explanation:

Answer:

Pretty sure its 4

brainliest pls

Answer:

clever

Step-by-step explanation:

Answer:

56 cola flavored gumboils

Step-by-step explanation:

Bob's 40 count of gumballs has 16 cola gumballs

Therefore the probability of a gumball being cola based on the sample size of Bob's purchase = 16/40 = 2/5

There are 140 gumballs left in the machine so we can expect that, on an average, 2/5 of them should be cola gumballs

So number of cola gumballs left is expected to be  2/5 x 140 = 56

This is only a prediction based on Bob's sample of 40 cola gumballs

The denominator of the formula for the variance of a sample is given as follows:

N - 1.

A fraction is a numerical representation of the division of the two terms x and y that composed the fraction, as follows:

Fraction = x/y.

The terms are named as follows:

The formula for the variance of a sample is given as follows:

\(s^2 = \frac{sum (X - \overbar{X})^2}{N - 1}\)

Hence the denominator is the bottom term, which is of N - 1.

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The normal to the parabola\(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20).

To find the normal to the paraboloid\(z = x^2 + y^2\) at points (3, 3, 18), we first need to find the slope of the surface at that point. The gradient vector is given by

\(∇f(x,y,z) = < 2x, 2y, -1 >\)

So the gradient vector at points (3, 3, 18) is

∇f(3, 3, 18) = <6, 6, -1>

This gradient vector is orthogonal to the plane tangent to the surface at the point (3, 3, 18). So the surface normal at this point is parallel to the gradient vector and can be expressed as

x = 3 + 6t

y = 3 + 6t

z = 18 - t

To discover where this line converges the parabola once more, we ought to substitute the x, y, and z equations into the parabola's condition. 

\(z = x^2 + y^2\)

So it looks like this:

\(18 - t = (3 + 6t)^2 + (3 + 6t)^2\)

\(18 - t = 18t^2 + 36t + 18\)

\(0 = 18t^2 + 37t\)

t=0 or t=-37/18

The value t = 0 corresponds to the starting point (3, 3, 18), so we are interested in the second value t = -37/18. Substituting this value into the normal equation gives:

x = 3 + 6(-37/18) = -1/3

y = 3 + 6(-37/18) = -1/3

z=18-(-37/18)=360/18=20

therefore, the normal to the parabola \(z = x^2 + y^2\) at the point (3, 3, 18) intersects the parabola again at the point (-1/3, -1/3, 20). 

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Answer:  91 is 70% of 130

Step-by-step explanation:

:)

Answer:

130

Step-by-step explanation:

70% of 130 = 91

The output is 2n when the input is n. This can be solved by the concept of pairs.

A pair is defined as a group of two items or numbers that are connected in some way. It is a 2-tuple since the pair and is often represented by the symbol (,) and is commonly seen to be ordered. Pairs are occasionally referred to as brothers or twins. All the many ways that a single number can be made up are called number pairs. The fundamental idea of number bonds serves as a crucial basis for learning how numbers function.

Input:      2        4       8       n

Output:   4        8       10     2n

Looking at other pairs, we know that the output is 2 times the input.

So, the output is 2n when the input is n.

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here is your answer in image if u like it ❣️

The perimeter of the triangle is 23.623 units.

What is perimeter of triangle?

Finding the distance around a triangle entails determining its perimeter. The distance formula can be used to calculate the side lengths if you don't already know all of them. The simplest way to find a triangle's perimeter is to add up all of its sides' lengths.

The distance between two points (x1,y1) and (x2,y2) can be determined using the following formula: √(x₂-x₁)² + (y₂ - y₁)²

Let the given vertices are (-7, -2), (-2, -5) , and (2, 3).

Distance formula for two points is = √(x₂-x₁)² + (y₂ - y₁)²

Using the formula,

AB = √((-2)-(-7))² +((-5)-(-2))²

= √(-2+7)² + (-5+2)²

= √5² + (-3)²

= √25 + 9

= √31

Similarly, BC = √(2 - (-2))² + (3-(-5))²

= √(2+2)² + (3+5)²

= √4² + 8²

= √16+64

= √80

CA = √((-7)-2)² + (-2 + 3)²

= √(-9²) + 1

= √81+1

=√82

Perimeter of triangle = AB + BC + CA

= √31 +√81 +√82

= 5.5677 + 9 + 9.0553

= 23.623

Therefore, the perimeter of the triangle is 23.623 units.

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The order from lowest to highest is  -5, -3, -2, -1 .

What is ascending order ?

Numbers can be arranged in ascending order, from least value to highest value. The arrangement is left to right. Increasing order is another name for ascending order.

6-8=-2

7-12=-5

1-4=-3

0-1=-1

Order : -5, -3, -2, -1

Avoid becoming confused by the values following the negative sign. The value of a number decreases with increasing size after a negative sign.

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The equation sec(x) - csc(x)/sec(x) + csc(x) = tan(x) - 1/tan(x) + 1 can be simplified to 1 = 1, which means that the equation holds true for all values of x.

To solve the given equation, we'll start by simplifying the left-hand side (LHS). Using the trigonometric identities sec(x) = 1/cos(x) and csc(x) = 1/sin(x), we can rewrite the equation as (1/cos(x)) - (1/sin(x))/ (1/cos(x)) + (1/sin(x)).

To combine the fractions, we find a common denominator, which is cos(x) * sin(x). Multiplying the numerator and denominator of the first fraction by sin(x) and the numerator and denominator of the second fraction by cos(x), we get (sin(x) - cos(x))/ (sin(x) + cos(x)).

Next, we simplify the right-hand side (RHS) of the equation. The tangent function is defined as tan(x) = sin(x)/cos(x), so tan(x) - 1/tan(x) + 1 becomes (sin(x)/cos(x)) - 1/((sin(x)/cos(x))) + 1.

Simplifying the RHS further, we get (sin(x)/cos(x)) - (cos(x)/sin(x)) + 1 = \(\frac{(sin^{2} (x) - cos^{2} (x) + cos(x)sin(x))}{cosxsinx}\) + 1.

Using the trigonometric identity sin²(x) + cos²(x) = 1, we can simplify the numerator of the RHS to sin(x)cos(x) + cos(x)sin(x), which simplifies to 2cos(x)sin(x).

Now, the equation becomes (2cos(x)sin(x))/(cos(x)sin(x)) + 1 = 1 + 1.

Finally, cancelling out cos(x)sin(x) in the numerator and denominator, we obtain 1 + 1 = 2, which simplifies to 1 = 1. This shows that the equation is true for all values of x.

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572000 or 5.72×10^5

Step-by-step explanation:

depends on what format ur teacher prefers but both show 3 sig figs correctly so either is correct

Answer:

they are in 225kilometers apart.

hope it helps.

Answer:

everything but J

integers can be negative or positive

Answer:

the third one looks right

Answer:

do 11.5x7.2 that will get you your answer then after that when you get that answer you will divide that by 4

Step-by-step explanation:

Answer and explanation:

Cable tv cost changed by $67-$55= $12= 12/55×100=21.818%

Cable TV cost increased by 21.818% of original cost

Dozen of eggs cost changed by $2.19-$1.79= $0.4= 0.4/1.79×100= 22.636%

Dozen of eggs cost increased by 22.636% of original cost

Therefore both customers can't be correct, cost of a dozen of eggs increased the most.

The Venn Diagram for showing odd numbers and prime numbers would be :

Odd numbers :

Prime number :

Both prime and odd:

4 is not to be included in the Venn Diagram.

Prime numbers are positive integers that have exactly two distinct divisors, which are 1 and the number itself. In other words, a prime number is a number greater than 1 that is divisible only by 1 and itself.

1 is an odd number but not a prime number. 2 is a prime number but not an odd number. 3 and 5 are both odd and prime numbers.

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The equation which shows how to find the height in inches of based on the screen's width is; h=2w

According to the taks content!

The ratio of the height of the screen to its width is 18:9.

On this note, it follows that;

h/w = 18/9

By making the h the subject of the formula;

h = 18w/9

h = 2w.

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Answer:

y = 12

Step-by-step explanation:

if a tangent and a secant are drawn from an external point to a circle, then the square of the measure of the tangent is equal to the product of the measures of the secant's external part and the entire secant , that is

y² = 8(8 + 6 + 4) = 8 × 18 = 144 ( take square root of both sides )

y = \(\sqrt{144}\) = 12

Step-by-step explanation:

-1/4, -1/5, -1/6, -1/7, -1/8, 1/8, 1/7, 1/6, 1/5, 1/4

Answer:

8. X=33º

9. X=120º

10. X= 161º

Step-by-step explanation:

For all of the 3 questions, the sum of the interior angles is equal to the exterior angle.

Hope this helps! Have a great day!

Answer:

do it got a picture

Step-by-step explanation:

The value of a Chi-Square goodness-of-fit test at a 5% significance level is 13.45

We need to perform a Chi-Square goodness-of-fit test at a 5% significance level.

First we need to calculate the expected count

expected value = ∑(x)/n

= (40 + 33 + 35 + 32 + 60)/5

= 200/5

= 40

Now we need tocalculate the test statistic value

Observed  expected  O - E    (O - E)^t/E       %

40                40             0            0                   0

33                40             -7          1.225          9.11

35                40             -5          0.625         4.65

32                40             -8         1.6                11.90

60                40             20        10                 74.35

Chi square test is 13.45

Therefore, the value of test statistics is 13.45.

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Using the sine function:

Answer:

(4b-5)^2

Step-by-step explanation:

I am assuming it's asking this? I'm not too sure.

Answer:

\((4b - 5 {)}^{2} \)

Step-by-step explanation:

1) Rewrite it in the form a² - 2ab + b², where a = 4b and b=5.

\((4b)^{2} - 2(4b)(5) + {5}^{2} \)

2) Use square of Difference: (a - b)² = a² - 2ab + b².

\((4b - 5)^{2} \)

Therefor, the answer is ( 4b - 5)².