a box in the shape of a rectangular prism has the dimensions shown. what length of the interior diagonal of the box? round to the nearest tenth.
100 cm
80 cm
60 cm

Answer: 400 adult tickets and 300 kids tickets

Step-by-step explanation:

Answer: 3.25G + 0.74F = t

Step-by-step explanation: For this problem we will write an expression to represent this situation.

Let total cost be equal to t.

3.25G + 0.74F = t

The expression above states that at $3.25 per pounds of granola and $0.74 per pounds of flour, you will find the total cost of buying both, which is t.

The total cost of buying G pounds of granola at $3.25 per pound and F pounds of flour at $0.74 per pound can be calculated using the expression (G × $3.25) + (F × $0.74).

To determine the total cost of buying G pounds of granola at $3.25 per pound and F pounds of flour at $0.74 per pound, you can use the following expression:

Total Cost = (G × $3.25) + (F × $0.74)

This expression multiplies the number of pounds of granola (G) by its price per pound and adds it to the product of the number of pounds of flour (F) and its price per pound. To find the total cost, simply substitute the values for G and F into this expression and calculate the sum.

Answer: The tip would be $11.88.

Step-by-step explanation: Basically, to find the tip of the bill you need to multiply the total, $74.25 by the tip amount which is 16%. To do this you will first need to convert 16% to a decimal. To find the decimal, divide 16 by 100 to get 0.16. Next, you will need to multiply the total of the bill $74.25 by the decimal 0.16. 74.25 multiplied by 0.16 is 11.88. So, the tip would be $11.88.

Amount of tip is $11.88

Given that;

Amount paid for dinner = $74.25

Percentage of tip = 16% = 0.16

Find:

Amount of tip

Computation:

Amount of tip = (Amount paid for dinner)(Percentage of tip)

Amount of tip = (74.25)(0.16)

Amount of tip = $11.88

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Answer:

acute

Step-by-step explanation:

it is an acute triangle

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Orthocenter of a triangle with one vertex at the origin D(0,0), E(0,7), F(6,3)

The orthocenter is the meet of the altitudes.  

DE is the line x=0.  That's the y axis.  The altitude is the perpendicular through F(6,3), so is the horizontal line y=3.  

DF is the line

6y=3x

y=(1/2)x

Perpendicular through E(0,7) is

y - 7 = (-2)(x - 0)

y = -2x + 7

That's the other altitude.  Intersecting with y=3

3 = -2x + 7

-4 = -2x

x = 2

y = 3

Answer: orthocenter is (2,3)

Answer:

x(2x + 3) + (x - 3) (x - 4) = 3x²- 4x + 12

Step-by-step explanation:

Expand:

x(2x + 3): 2x² + 3x

2x² + 3x + (x - 3) (x - 4)

Expand:

(x - 3) (x - 4):  x²- 7x + 12

2x² + 3x + x²- 7x + 12

Simplify:

2x² + 3x + x² - 7x + 12:  3x² - 4x + 12

= 3x² - 4x +12

Answer:

2496

Step-by-step explanation:

BRAINLIEST PLEASE?????

Answer:

the area is 53

Step-by-step explanation:

triangle = 5

rectangle = 48

Answer:A positive correlation is a relationship between two variables such that their values increase or decrease together.

Step-by-step explanation:

Positive correlation is a relationship between two variables in which both variables move in tandem—that is, in the same direction. A positive correlation exists when one variable decreases as the other variable decreases, or one variable increases while the other increases.

Answer:

it is skewed left

Step-by-step explanation:

i know it looks like more of the data is on the right side then you think it is skewed right but it is always the opposite.

hope i helped

Answer:

[tex] |28 - x| = 0 \\ 28 - x = 0 \\ - x = - 28 \\ x = 28[/tex]

Answer:

x = 28.

Step-by-step explanation:

|28 - x| = 0

28 - x = 0

28 = x.

The absolute value makes no difference to the result as we have 0 on the right side.

Answer:

D

Step-by-step explanation:

1/4=3/12

1/3=4/12

4/12 +3/12= 7/12

7/12 divided by 3/1

7/12 x 1/3

=7/36 of a pound

Final answer:

The correct statements are the area of the rectangle is x^2 - 4x square units, the difference in areas is 4x - 4, and if x > 4, the area of the square could be greater than, equal to, or less than the area of the rectangle, depending on x.

Explanation:

When analyzing the given geometric shapes, a square with sides of length (x - 2) and a rectangle with dimensions x by (x - 4), a number of true statements can be identified:

The area of the square is (x - 2)2 or x2 - 4x + 4 square units.

The area of the rectangle is x(x - 4) or x2 - 4x square units.

If x > 4, then the area of the square could be greater than, less than, or equal to the area of the rectangle, depending on the value of x.

The difference in the areas is (x - 2)2 - (x(x - 4)) which simplifies to 4x - 4.

Therefore, the correct statements are that the area of the rectangle is (x2 - 4x) square units, and if x is greater than 4, the area of the square could be greater than the area of the rectangle, depending on x. The difference in the areas is indeed 4x - 4. However, the area of the square is not (x2 - 4) square units as previously stated.

Answer:

8.3

Step-by-step explanation:

We turn -5,12 into polar coordinates.  It's a Pythagorean Triple so

r = 13   Ф=arctan(-12/5) + 180°   ( in the second quadrant )

so -5 = 13 cos Ф, 12 = 13 sin Ф

12 sin x - 5 cos x = 6.5

13 sinФ sin x + 13 cos Ф cos x = 6.5  

13 cos(x - Ф) = 6.5

cos(x - Ф) = 1/2

cos(x - Ф) = cos 60°

x - Ф = ± 60° + 360° k     integer k

x = Ф ± 60° + 360° k  

x = 180° + arctan(-12/5) ± 60° + 360° k  

That's the exact answer;

x ≈  180° - 67.38° ± 60° + 360° k  

x ≈  122.62° ± 60° + 360° k  

x ≈  { 62.62°, 182.62°} + 360° k,  integer k

Answer:

560 has 0.6 z-value, 450 has -0.5 z-value, 640 has 1.4 z-value, 530 has 0.3 z-value

Step-by-step explanation:

I had this qution on a test on time

please mark me as brainliest

Answer: The answer is A) 675

Step-by-step explanation: Take each answer choice and subtract it from 500 and divide by 100 until one of them gives you the answer of 1.75

Answer:

12x / (4+x)

Step-by-step explanation:

product of 12 and x

12x

Divided by

12x /

sum of 4 and x

(4+x)

12x / (4+x)

Answer:

12x/(4+x)

Step-by-step explanation:

product of 12 and x: 12x

divided by

the sum of 4 and x: 4 + x

12x/(4+x)

Answer: 5%

Step-by-step explanation:

Answer: 24m-28

Step-by-step explanation:

According to the distributive property ,

[tex]a(b+c) = ab+ac[/tex]

[tex](b+c)a = ba+ca[/tex] , where a, b and c are any arbitrary expressions.

Given expression : [tex](6m-7)\cdot4[/tex]

By using distributive property , we have

[tex](6m - 7)\cdot 4= (6m)(4)-(7)(4)\\\\= (6)(4)(m)-28 \ \ \ [\text{By associative property}]\\\\=24m-28[/tex]

Hence, the required equivalent expression is 24m-28.

Answer:

24m-28

Step-by-step explanation:

24m-28

Answer:

Option D, (x - 5)(x + 1)

Step-by-step explanation:

Step 1:  Factor

[tex]x^2 - 4x - 5[/tex]

[tex]x^2 - 5x + x - 5[/tex]

[tex](x - 5)(x + 1)[/tex]

Answer:  Option D, (x - 5)(x + 1)

Answer:

(x-5) (x+1)

Step-by-step explanation:

x^2 -4x -5

What two numbers multiply to -5 and add to -4

-5*1 = -5

-5+1 = -4

(x-5) (x+1)

Answer: 153.86cm

Step-by-step explanation:

A bowl represents a circle

Area of a circle is pir2

But here we are given the diameter as 14

Diameter = 2radii

14=2r

R=14/2

R=7

So radius of the bowl is 7cm

Back to the formula

Area of a circle is pir2

Pi=3.14

Substitute for each value

Area= 3.14×7^2

Area= 3.14×49

Area= 153.86cm

Area= ~154cm

Answer 7?

Im not 100% sure. It is probably wrong

Answer:

122°

Step-by-step explanation:

The measure of arc DBC in circle P is calculated thus:

DBC = 180° - 58° (sum of angles on a straight line)

DBC = 122°

Therefore, the measure of arc DBC in circle P is 122°.

Note,

Line BD is a straight line; thus, sum of angles on a straight line is 180°.

Angle BPC is 58°. To determine angle DPC, we subtract 58° from 180°, such that, 180° - 58° = 122°.

Answer:

1 day and 8 hours

Step-by-step explanation:

Adan does 1/3 work each day,

Bernie does 1/4 work each day, and

Cynthia does 1/6 work each day

combined they accomplish 3/4 each day

therefore it would take them 1 day and 8 hours

By adding the individual work rates of Adan, Bernie, and Cynthia, we find that they could complete the task in a total time of 1.5 days when working together.

In this question, the rates at which Adan, Bernie, and Cynthia can complete a piece of work are given. This information can be used to calculate how long it would take for them to complete the work together.

Adan can do the job in 3 days, so his work rate is 1/3 of the job per day. Bernie's work rate is 1/4 of the job per day, and Cynthia's work rate is 1/6 of the job per day.

The combined work rate of Adan, Bernie, and Cynthia per day would be the sum of their individual work rates which is (1/3 + 1/4 + 1/6). This sums up to 4/6 or 2/3. The time required for them to finish the job together is the reciprocal of the total work rate which is 3/2 and that equals to 1.5 days.

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Wheel A will travel a distance of approximately 9 in more than wheel B in one rotation.

Explanation:

Given:

Diameter of wheel A, d₁ = 25.4 in

Radius of wheel A, r₁ = 12.7 in

Diameter of wheel B = 22.5 in

Radius of Wheel B, d₂ = 11.25 in

Distance travelled by A = ?

In one rotation, the distance travelled by a wheel is equal to its circumference.

Circumference of a wheel = 2πr

Circumference of wheel A = 2πr₁

                                            = 2 X 3.14 X 12.7 in

                                            = 80 in

Circumference of wheel B = 2πr₂

                                              = 2 X 3.14 X 11.25 in

                                              = 71 in

Therefore, wheel A will travel a distance of approximately 9 (80 - 71 in) in more than wheel B in one rotation.

The larger wheel with a diameter of 25.4 inches travels approximately 9 inches farther in one rotation than the smaller wheel with a diameter of 22.5 inches.

To determine how much farther Wheel A will travel in one rotation compared to Wheel B, we need to calculate the difference in their circumferences, since the circumference of a wheel determines the distance it covers in one rotation. The formula for the circumference of a circle is C = (pi * d), where C is the circumference and d is the diameter of the wheel.

First, we calculate the circumferences of both wheels:

Wheel A: C = (pi * d) = 3.14 * 25.4 inches = 79.756 inches.

Wheel B: C = (pi * d) = 3.14 * 22.5 inches = 70.65 inches.

Now, to find how much farther Wheel A travels than Wheel B in one rotation, we subtract the circumference of Wheel B from that of Wheel A:

Difference in distance = Circumference of Wheel A - Circumference of Wheel B = 79.756 inches - 70.65 inches = 9.106 inches.

When rounding to the nearest whole number, the difference is approximately 9 inches.

Answer:

y - 4 = 1/3(x - 4)

y - 4 = 1/3x - 4/3

y - 12/3 = 1/3x - 4/3

y = 1/3x + 8/3

Step-by-step explanation:

The slope of a line can be expressed in the form y = mx + b. Given m = 1/3 and a point (4,4), we can substitute these into the equation to find b. The equation of the line is thus y = 1/3x + 8/3.

In mathematics, an equation of a line is often written in the slope-intercept form, which is y = mx + b. The term 'm' represents the slope of the line, while 'b' is the y-intercept.

In the question, the value 'm' is provided as 1/3, and one point through which line passes is (4,4). We can substitute the value of 'm' and the coordinates of the point into the equation to solve for 'b'.

So, y = mx + b becomes 4 = (1/3)*4 + b. Simplify this to solve for b, hence b=4-(4/3) which gives 'b' as 8/3.

Therefore, the equation of the line becomes y = 1/3x + 8/3.

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Answer: Post a picture of the question.

Step-by-step explanation:

We can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

The general equation of a straight line is -

[y] = [m]x + [c]

where -

[m] is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.

The equation of a straight line can be also written as -

Ax + By + C = 0

By = - Ax - C

y = (- A/B)x - (C/A)

We have the following problem -

Greg who is buying a bike on a payment plan. The equation y = 20x + 600 models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars. Lin is also buying a bike on a payment plan. The bike costs 500. She will pay 25 each week.

The equation for Greg payment plan -

y = 20x + 600

models the amount he has left to pay, where [x] is the number of weeks and [y] is the amount of money owed in dollars.

Similarly, the equation that represents the money owned by Lin -

y = 500 - 25x

[x] is the number of weeks and [y] is the amount of money remaining to be paid in dollars.

Refer the graph of both situations.

The amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

Therefore, we can conclude that the amount owned by Greg is greater than that of Lin. Plus, Greg Also took an additional loan of $600. Lin will pay of the debt in x = 20 weeks, but since no data is given for Greg, it is not possible to determine the time it will cost him to return money.

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Answer:

27

Step-by-step explanation:

Set up the equation as a ration 4*6 = 18*y

Cross multiply you get 108/4y= 27 logs

Using the sample proportion of 64% favoring the new stadium, we predict that approximately 3,840 out of 6,000 voters would vote in favor of the new football stadium.

In the sample provided, 16 out of 25 people favored building a new football stadium, which is a proportion of 64% favoring the stadium. To predict how many people are likely to vote in favor of the new football stadium in the local election with 6,000 voters, we use this sample proportion.

The calculation is straightforward:

Based on the sample, approximately 3,840 people are likely to vote in favor of building the new football stadium in the next local election.