A group of friends wants to go to the amusement park. they have $327.75 to spend on parking and admission. parking is $13.75, and tickets cost $39.25 per person, including tax. how many people can go to the amusement park?

Answer:

695

Step-by-step explanation:

So for thus, you need to follow PEMDAS

First, Parentheses

(-14 + 2.5) = -11.5

Skip E, there are no Exponents

Now for Multiplication

30 * (-11.5) = -345

Lastly, Subtraction

350 - -345

Becomes 350 + 345 = 695

Answer:

The answer is 695.

350-30(-14+2.5)=695.

The markers identified when identifying significant digits include:

Significant digits in mathematics refers to digits that  are meaningful in mathematical calculations. This implies that their position and the quantity alters the value of the number. The particular digit and the position determines whether the digit is significant or not.

Instances of digits with their locations that are significant are:

These instances results to significant digits while the instances below the digits are insignificant:

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Answer:

lemme tell u something. im not sure

Step-by-step explanation:

Answer:

triangle C has the largest area.

Step-by-step explanation:

From the the three triangles A, B, C based on the area occupied by the triangles, it can be seen that triangle C occupies the largest area.

On the centimetre grid, let each box represent one unit. For triangle A, the base is 2 boxes (i.e 2 units) and the height is 3 units, For triangle B, the base is 2 units and the height is 3 units while for triangle C, the base is 3 units and the height is 3 unit. The area of a triangle is given by:

Area = \(\frac{1}{2}base*height\)

For triangle A:

Area = \(\frac{1}{2}base*height\) = \(\frac{1}{2} *2*3=3 \ unit^2\)

For triangle B:

Area = \(\frac{1}{2}base*height\) = \(\frac{1}{2} *2*3=3 \ unit^2\)

For triangle C:

Area = \(\frac{1}{2}base*height\) = \(\frac{1}{2} *3*3=4.5 \ unit^2\)

Therefore, triangle C has the largest area.

Answer:

triangle C

Step-by-step explanation:

Answer:

69=33

Step-by-step explanation:

33ni

Answer:

$297

Step-by-step explanation:

Given data

Percent profit=10%

sales price= $330

% profit= (sales price-cost price)/sales price* 100

let the cost price be x

Substitute

10= (330-x)/330* 100

cross multiply

10= (33000-100x)/330

10*330= 33000-100x

3300=33000-100x

3300-33000=-100x

-29700=-100x

29700=100x

x=29700/100

x=297

Hence the cost price is

cost price=$297

Answer:

3

Step-by-step explanation:

on a number line, we use the absolute values to find the difference.

the absolute value of -2 is 2

the absolute value of -5 is 5

5-2=3

so, the distance between -2 and -5 on a number line is 3

Gabriela will claim $54550 as her taxable income.

The correct option is A.

Subtraction is a mathematic operation. Which is used to remove terms or objects in the expression.

Given:

Gabriela made $58,750 last year.

She paid $1200 in student loan interest and made a $3000 contribution to her IRA.

That means,

58750 - 1200 - 3000

= 54550

$54550 is the taxable income.

Hence, the taxable income is $54550.

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Answer:

40°

Step-by-step explanation:

Ratio of two supplementary angles = 2 : 7

The angles are 2x , 7x

2x + 7x = 180  {Supplementary}

       9x = 180

         x = 180/9

x = 20

Acute angle = 2x = 2*20 = 40

Answer:

Hello! answer: 130 degrees

Step-by-step explanation:

Well these a vertical angles therefore they will both have the same measure meaning both are 130 degrees HOPE THAT HELPS!

Answer:  

260

Step-by-step explanation:

If half would be 130 than t would also be 130 cause there t same size which means if you add 130 + 130 it = 260

For f(x) = sin(Tr), there exists at least one point 0 < c < 2 such that f (2) - f(0) = f'(c) (2 - 0)^2. However, for f(x) = |x|, there is no such c that satisfies f(1) - f(-1) = f'(c) (2). The Mean Value Theorem does not apply over the interval [-1, 1] for f(x) = |x|.

For f(x) = sin(Tr), we can apply the Mean Value Theorem which states that for a function f(x) that is continuous on the interval [a, b] and differentiable on (a, b), there exists at least one point c in (a, b) such that:

f(b) - f(a) = f'(c) (b - a)

Here, a = 0, b = 2, and f(x) = sin(Tr). Thus,

f(2) - f(0) = f'(c) (2 - 0)

sin(2T) - sin(0) = cos(cT) (2)

2 = cos(cT) (2)

cos(cT) = 1

cT = 2nπ, where n is an integer

0 < c < 2, so 0 < cT < 2π

Thus, cT = π/2, and c = π/4

Therefore, f'(π/4) satisfies the Mean Value Theorem condition.

For f(x) = |x|, we can find f'(x) for x ≠ 0:

f'(x) = d/dx|x| = x/|x| = ±1

However, at x = 0, the function f(x) is not differentiable because the left and right derivatives do not match:

f'(x=0-) = lim(h->0-) (f(0) - f(0-h))/h = -1

f'(x=0+) = lim(h->0+) (f(0+h) - f(0))/h = 1

Thus, the Mean Value Theorem does not apply over the interval [-1, 1] for f(x) = |x|.

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Gain holds a market share of 17.7% in the liquid laundry detergent sector.

During the last fiscal year Gain detergent had sales of $581.11 million in 2018. Sales of the leading liquid laundry detergent brands in 2018 was 3281.91 million.

The market share of gain in the liquid laundry detergent sector can be calculated as follows:

Market share of gain = (Gain sales / Total sales) x 100

Market share of gain = (581.11 / 3281.91) x 100

Market share of gain = 17.7%

Therefore, Gain holds a market share of 17.7% in the liquid laundry detergent sector.

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Answer:

STEP 1:

The coordinates of the trees are

A (80, 0), B(50, -100), C(-60, -120), D(-70, 80), E(10, 110)

Drawing a pentagon online

The lengths are

STEP 2:

Length A to B = 10√109

Length B to C =  50√5

Length C to D = 10√401

Length D to E = 10√73

Length E to A = 10√170

STEP 3:

The perimeter = 632.28 ft

STEP 4:

Company 1 Completion of job cost = $8851.93

Company 2 Completion of job cost = $8436.13

STEP 5:

The company that will complete the job with the least amount of money is Company 2

Step-by-step explanation:

STEP 1:

The coordinates of the trees are

A (80, 0), B(50, -100), C(-60, -120), D(-70, 80), E(10, 110)

Drawing a pentagon online

The lengths are

STEP 2:

Length A to B = √((-100 -0)² + (80 - 50)²) = 10√109

Length B to C = √((-60 -50)² + (-100 + 120)²) = 50√5

Length C to D = √((-60 +70)² + (-120 - 80)²) = 10√401

Length D to E = √((-70 -10)² + (80 - 110)²) = 10√73

Length E to A = √((10 -80)² + (110 - 0)²) = 10√170

STEP 3:

The perimeter = 10√109 + 50√5 + 10√401 + 10√73 + 10√170 = 632.28 ft

STEP 4:

Company 1

At $14 per foot, total cost of fencing = 632.28 ft × $14/ft = $8851.93

Company 2

At $4600 for the first 500 feet and $29 for each additional foot, we have;

$4600 + (632.28 - 500) ft ×$29/ft = $8436.13

STEP 5:

Based on cost comparison Company 2 with a cost of $8436.13 is cheaper than company 1 with a cost of $8851.93

The height of the parallelogram with an area of 10½ is derived to be 14 inches

In calculating for the area of parallelogram, the base is multiplied by the height, as the same way for calculating the area of a rectangle.

Given the area of the parallelogram to be 10½, and its base is 3/4 then we can calculate for its height as follows:

10½ = 3/4 × height

21/2 = 3/4 × height

by cross multiplication;

height of the parallelogram = 21/3 × 4/2

height of the parallelogram = 7 × 2

height of the parallelogram = 14 inches

Therefore, the height of the parallelogram with an area of 10½ and base 3/4 is derived to be 14 inches

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Answer:

The answer is -1.

Step-by-step explanation:

Brainliest plz!!!!

Answer:

0

Step-by-step explanation:

c(3 − a) − c^2

Let a=4  and c=-1

-1 ( 3-4) - ( -1) ^2

-1 ( -1) - ( 1)

1-1

0

Answer:

The value of y is 18 at x = 70

Step-by-step explanation:

The equation of the directly proportional is y = k x, where k is the constant of proportionality.

∵ The value of y is directly proportional to the value of x

→ By using the equation above

∴ y = k x

∵ x = 140 and y = 36

→ Substitute them in the equation above

∴ 36 = k(140)

∴ 36 = 140k

→ Divide both sides by 140

∵ \(\frac{36}{140}\) = k

∴ \(\frac{9}{35}\) = k

→ Substitute the value ok in the equation

∴ y = \(\frac{9}{35}\) x ⇒ equation of proportionality

∵ x = 70

→ Substitute in the equation to find y

∴ y =  \(\frac{9}{35}\) × 70

∴ y = 18

∴ The value of y is 18 at x = 70

The exact percentage of roses purchased on Valentine's Day that are red are 60% to 80% or even higher.

can vary depending on various factors such as location, personal preferences, and cultural traditions. However, it is generally observed that red roses are the most popular and commonly associated with Valentine's Day, symbolizing love and romance.

It is estimated that a significant majority of roses purchased on Valentine's Day are red, often ranging from 60% to 80% or even higher. This high percentage is due to the traditional symbolism and cultural significance attached to red roses as a romantic gift.

However, it's important to note that individual preferences may vary, and some people may choose different colored roses or alternative flowers to express their feelings on Valentine's Day.

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Answer:

non-proportional

Step-by-step explanation:

Answer:

M = (13, - 6 )

Step-by-step explanation:

The coordinates of the midpoint are the average of the x and y coordinates of the endpoints.

L (- 9, 4 ) , let M = (x, y ) , then

\(\frac{-9+x}{2}\) = 2 ( multiply both sides by 2 )

- 9 + x = 4 ( add 9 to both sides )

x = 13

and

\(\frac{4+y}{2}\) = - 1 ( multiply both sides by 2 )

4 + y = - 2 ( subtract 4 from both sides )

y = - 6

Then

coordinates of M = (13, - 6 )

0.90 x $11.00 = $9.90

This is the price of the CD before taxes are applied. To find the total price, including tax, we need to add the 7% sales tax to the discounted price:

Total price = discounted price + (sales tax x discounted price)

Total price = $9.90 + (0.07 x $9.90)

Total price = $9.90 + $0.69

Total price = $10.59

Therefore, the total price of the CD, including tax, is $10.59.

Please mark this answer as brainliest if possible.

The expected number of education majors in the sample can be found using the concept of expected value. In this scenario, there are 110 education majors out of a total of 350 freshmen in the population. We want to determine the expected number of education majors when a sample of 70 freshmen is randomly selected (without replacement).

Expected number of education majors = (Number of education majors in the population / Total number of students in the population) * Number of students in the sample Expected number of education majors = (110 / 350) * 70 , Expected number of education majors = 12.86.This means that we would expect to see 12.86 education majors in the sample of 70 freshmen. The expected number of education majors in the sample is less than the actual number of education majors in the population because the sample is drawn without replacement. This means that there is a chance that some of the education majors will be selected more than once, while others will not be selected at all.

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Answer:

The difference between the maximum and the minimum temperature on that day is \(18^0C\)

Step-by-step explanation:

The maximum temperature of an island was recorded \(15.5^0C\)

The minimum temperature was recorded \(-2.5^0C\)

Difference in temperature

\(=15.5--2.5\\\\=18^0C\)

Answer:

the difference between 15.5 and -2.5 is 18

Step-by-step explanation:

Answer: x=  -22/5

Step-by-step explanation:

Solution :

the coordinates for W′ = (-1,3)

Trapezoid :

A trapezoid is necessarily a convex quadrilateral in Euclidean geometry. The parallel sides are called the bases of the trapezoid. The other two sides are called the legs (or the lateral sides) if they are not parallel; otherwise, the trapezoid is a parallelogram, and there are two pairs of bases). A scalene trapezoid is a trapezoid with no sides of equal measure

Y = (-2,1)

Y' = (0,3)

Unit shift for Y to Y'

By distance formula :

yy' = \(\sqrt{{(x2-x1})^{2} +( y2-y1)^{2} }\\\)

= root of (2)^2 +(2^2)

= root of 4+4

Root of 16

= root of 4

Unit shift for Y to Y' = 4

then

w = (-5,-1)

shift by adding 4

W' = (-5+4, -1+4)

W' = (-1,3)

the coordinates for W′ = (-1,3)

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(a) To prove the equation ||u' - v|| = √2√(1 - u · v) in R², where u and v are unit vectors, we can use the properties of the dot product and vector norms.

First, let's expand the norm on the left side of the equation:

||u' - v||² = (u' - v) · (u' - v)

Expanding the dot product, we have:

||u' - v||² = (u' · u') - 2(u' · v) + (v · v)

Since both u and v are unit vectors, their norms are equal to 1:

||u' - v||² = (1) - 2(u' · v) + (1)

Simplifying, we have:

||u' - v||² = 2 - 2(u' · v)

Now, let's focus on the right side of the equation:

√2√(1 - u · v) = √2√(1 - (u' · v))

Taking the square of both sides, we have:

2 - 2(u' · v) = 2 - 2(u' · v)

Therefore, the equation ||u' - v|| = √2√(1 - u · v) holds in R².

(b) To prove that if x'ui = ||ui|| for all i, 1 ≤ i ≤ n, where U = {u₁, ..., un} is an orthonormal basis for Rⁿ and x ∈ Rⁿ, then x = u₁ + ... + un.

Since U is an orthonormal basis, each ui is a unit vector, and they are linearly independent, forming a basis for Rⁿ. We can write any vector x ∈ Rⁿ as a linear combination of the basis vectors:

x = c₁u₁ + c₂u₂ + ... + cnun

Now, let's calculate the dot product of x with each basis vector ui:

x · ui = (c₁u₁ + c₂u₂ + ... + cnun) · ui

= c₁(u₁ · ui) + c₂(u₂ · ui) + ... + cn(un · ui)

Since the basis vectors are orthonormal, the dot product of any two distinct basis vectors is zero:

(uj · ui) = 0 (for j ≠ i)

Therefore, the dot product simplifies to:

x · ui = ci(u · ui)

Given that x · ui = ||ui|| for all i, we have:

ci(u · ui) = ||ui||

Since ui is a unit vector, the dot product (u · ui) is equal to the norm of u:

ci ||ui|| = ||ui||

This equation holds for all i, 1 ≤ i ≤ n. Since ||ui|| is non-zero (as ui is a unit vector), we can divide both sides of the equation by ||ui||:

ci = 1

Hence, each coefficient ci is equal to 1. Therefore, we can rewrite x as:

x = u₁ + u₂ + ... + un

If x'ui = ||ui|| for all i, 1 ≤ i ≤ n, where U = {u₁, ..., un} is an orthonormal basis for Rⁿ, then x can be written as the sum of the basis vectors: x = u₁ + u₂ + ... + un.

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\( \frac{ - 1(15 + 4 - 27)}{16} \\ = \frac{ - 1(19- 27)}{16} \\ = \frac{ - 1( - 8)}{16} \\ = \frac{8}{16} \\ = 0.5\)

ATTACHED IS THE SOLUTION

Answer:

= - 19 + 16^27

Answer:

Step-by-step explanation:

23x-12-4x+5x

24x-12  combine the 23x-4x+5x to get 24x

19-14+3x+12x

15x+5     19-14=5   3x+12x=15x

6x+19-14x+9

-8x+28    -14x+6x= -8x   19+9=28

Answers+explanation

23x -12 -4x +5x

19 -14 +3x +12x

6x +19 -14x +9

Answer:

-(x+8)(3x-1)

Step-by-step explanation:

Take out the - sign, then factor as if it is positive.