The table below shows the amount that a catering company charges based on the number of people at an event. Which of the following equations
shows the relationship between the amount the company charges based on p, the number of people at the event?
Total Charge (c)
$400
People (p)
25
50
75
100
$725
$1,050
$1,375
c = 75p + 13
C = 13p+75
p = 130 + 75
C = 16p

Answer:

  there is no greatest load

Step-by-step explanation:

Let x and y represent the load capacities of my truck and my neighbor's truck, respectively. We are given two relations:

  x ≥ y +600 . . . . . my truck can carry at least 600 pounds more

  x ≤ (1/3)(4y) . . . . . my truck carries no more than all 4 of hers

Combining these two inequalities, we have ...

  4/3y ≥ x ≥ y +600

  1/3y ≥ 600 . . . . . . . subtract y

  y ≥ 1800 . . . . . . . . multiply by 3

My truck's capacity is greater than 1800 +600 = 2400 pounds. This is a lower limit. The question asks for an upper limit. The given conditions do not place any upper limit on truck capacity.

Answer:

[tex]\large \boxed{\text{2400 lb}}[/tex]

Step-by-step explanation:

We have two condition:

    Let x = the load of your truck

   and y = load of their trucks Then

(1)       x ≥ y + 600  

       4y = the total load of their four trucks

⅓ × 4y = the load  of load of your truck

(2)  ⁴/₃x ≤ y

Calculations:  

[tex]\begin{array}{lrcll}(1) & x & = & y+ 600\\(2)& x & =&\dfrac{4}{3}y\\\\(3)& x - 600 & =&y&\text{Subtracted 600 from each side of (1)}\\& x & = & \dfrac{4}{3}(x - 600)&\text{Substituted (3) into (2)}\\\\&3x & = & 4(x - 600)&\text{Multiplied each side by 3}\\\end{array}[/tex]

[tex]\begin{array}{lrcll}&3x & = & 4x - 2400&\text{Distributed the 4}\\&3x + 2400 & = & 4x&\text{Added 2400 to each side}\\ & x & = & \mathbf{2400}&\text{Subtracted 3x from each side}\\\end{array}\\\text{The greatest load my truck can carry is $\large \boxed{\textbf{2400 lb}}$}}[/tex]

Answer:

12.152

Step-by-step explanation:

Answer:

Step-by-step explanation:

hello : look this solution

Answer:

[tex]\frac{13}{5}[/tex]

Step-by-step explanation:

Remember this??- [tex]\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Now substitue the points on that! It should look like this!- [tex]\frac{6-(-7)}{2-(-3)}[/tex]

Now SOLVE!! You should get- [tex]\frac{13}{5}[/tex]

There ya go!! Stay Safe, Stay at Home!! =)

Answer:

Exact percentage  = 87.5%

Explanation:

We need to find out the percent of the women in the village.

So the percent of one unit is represented by 56/64.

we want 56 out of 64 as a percentage

we multiply by the 100 .

=0.875*100

=87.5 %

So, final answer is 87.5%

Answer:

7

Step-by-step explanation:

Take the new height and divide by the original height to determine the scale factor

56/8 = 7

We can check this by using the length

35/5 =7

The scale factor is 7

Answer:

1. 25 times larger

2. The scale factor is 25:1

Step-by-step explanation:

Given

Let A represent the area of your swimming pool

Let a represents the area of your neighbour's swimming pool.

From the question, we understand that the area of your swimming pool is 25 times larger than the area of you neighbour's. This can be represented as follows;

A = 25 * a. --- divide through by a

A/a = 25 * a/a

A/a = 25

This means that your pool is 25 times larger than your neighbour's.

To get the scale factor, we have to convert the expression above to ratio

A/a = 25

This can be rewritten as

A/a = 25/1

By comparison the position of constraints at the left hand side to those at the right hand side of the equation

A = 25

a = 1

So,

A : a = 25 : 1

Hence, the scale factor is 25 : 1

Answer:

F and I

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the attached photo.  

Through which points should a line of rotation be placed to create a cylinder with a radius of 3 units?

E and J

F and I

J and G

G and E

My answer:

From the photo, we can see that:

the point F is in the middle of the length EG => EF = FG = 3 units

the point I is in the middle of the length JH and because this is a rectangle so EG = JH

=> JI = JH = 3 units

So the points should a line of rotation be placed to create a cylinder with a radius of 3 units is: F and I  where F and I are the center points of the two bases in the cylinder

Answer:

6 or 7

Step-by-step explanation:

if he does not take any himself, the answer is 7 as

35/5=7

if he takes 5 himself, the answer is 6 because

35-5=30

30/5=6

Todd will be able to give candy to 7 friends.

To find out how many friends Todd will be able to give candy to, we need to divide the total number of candy pieces he has (35) by the number of candy pieces he wants to give to each friend (5).

35 ÷ 5 = 7

Todd will be able to give candy to 7 friends.

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Answer: The square shield would equal to 18.0625 because base x height and the base and height is both 4.25 so times that by 4.25 and you get 18.0625 ft and the rectangular shield would equal 27 ft because base: 6.75 and height: 4 You will times those and get 27 ft and the circular shield is and the circular one is 28.26 ft you use pie 3.14 times it by 3 squared well first you square 3 which gives you 9 = 3x3=9. So then its left to 3.14x9 and that gives you 28.26 so the best shield is the circlular shield

Step-by-step explanation:

I explaned on top

Answer:

sdfghjkl

Step-by-step explanation:

Answer:

To correctly answer  this question, You need to know the dimensions for the parallelogram.

Step-by-step explanation:

Have a great day!

Final answer:

The area of the larger square is four times the area of the smaller square, as the side lengths are doubled, resulting in the area increasing by the square of the factor of increase (2^2 = 4).

Explanation:

When Marta has a square with a side length of 4 inches, and she has a second square with dimensions that are twice as large, the area of the larger square can be found by squaring the ratio of the side lengths. In this case, the larger square will have side lengths of 8 inches because they are twice as long. To determine how the area of the larger square compares to the area of the smaller square, we can use the formula for the area of a square, which is side length squared (s^2).

The area of the smaller square is 4 inches * 4 inches = 16 square inches. If we double the side length to get the larger square, its sides will be 8 inches, so its area will be 8 inches * 8 inches = 64 square inches. Therefore, the area of the larger square will be four times the area of the smaller square because 64 square inches is four times 16 square inches (4^2 = 16, which means four times more area).

Answer:

Step-by-step explanation:

look at the examples below~

Final answer:

To solve special right triangles, utilize the mnemonic SOHCAHTOA and apply the Pythagorean theorem along with trigonometric functions to find side lengths and angles.

Explanation:

To solve a special right triangle, you'll need to use various relationships between the sides and the angles. A popular mnemonic for remembering these relationships is "SOHCAHTOA", which stands for Sine equals Opposite over Hypotenuse, Cosine equals Adjacent over Hypotenuse, and Tangent equals Opposite over Adjacent. It's useful for finding the values of the sides and angles of a right triangle.

For problems involving right triangles, if you have the length of one side (x) and the hypotenuse (r), you can use the Pythagorean theorem to find the length of the other side. The theorem states that in a right triangle, the square of the length of the hypotenuse (c) is equal to the sum of the squares of the lengths of the other two sides (a and b).

Moreover, you can find the angles aside from the right angle by applying trigonometric functions such as sine, cosine, or tangent, which relate the angles to the lengths of the sides. For example, the sine of an acute angle would be the length of the opposite side divided by the length of the hypotenuse. The cosine would be the adjacent side divided by the hypotenuse, and the tangent would be the opposite side divided by the adjacent side.

Answer:

7/12

Step-by-step explanation:

4/12 + 3/12

Multiply the 2/6 by 2 and the 1/4 by 3

Answer:

Step-by-step explanation:

LCM of 6, 4 = 12

[tex]\frac{2}{6}+\frac{1}{4}=\frac{2*2}{6*2}+\frac{1*3}{4*3}\\\\=\frac{4}{12}+\frac{3}{12}\\\\=\frac{7}{12}[/tex]

Answer:

848.81

Step-by-step explanation:

find 14 percent of 744.57 then add that to 744.57

The original price of the video camera was $866.50.

To find the original price of the video camera, we can use the following equation:

Original price - (14% of original price) = Sale price

Let's assign the variable x to represent the original price. We can set up the equation:

x - 0.14x = $744.57

Simplifying the equation, we get:

0.86x = $744.57

Dividing both sides of the equation by 0.86, we find that:

x = $866.50

So, the original price of the video camera was $866.50.

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Answer:

Hence Group A compose of the alternate Addition of  "ONE" and "THREE" units

Hence Group B Composes of alternate 22 units addition and 3 units addition.

Step-by-step explanation:

Given:

Two groups as A and B with number in certain patterns as

To Find:

What is that certain pattern in numbers?

Solution:

Group A includes the following numbers as ,

0,1,4,5,8

Here 1st number=0 then 2nd number =1

So in between this addition is 1 is present

And then 3rd number =4 and 4th number=5

so there  alternate addition of "one"(1) present

Now in 3rd and 2nd number there is addition of 3 units

And in 5th and 4 number there is addition of 3 units .

Hence this group compose of the alternate Addition of  "ONE" and "THREE" units.

Group B includes the following number as ,

10,32,35,57,79

So here 1st number is 10 and 2nd number is 32 (Addition of 22 units).

Further alternate 4th 57 and 3rd number is 35 (addition of 22 units).

For 3rd number is 35 and 2nd number is 32 (addition of 3 units)

For 6th number will be is  82 and  5th number is 79 (addition of 3 units).

Hence this group Composes of alternate 22 units addition and 3 units addition.

inal answer:

The sorting rule for the numbers in Group A and Group B is based on their units digit, where numbers that end in 0 or 5 are placed in Group B, and other numbers are in Group A.

Explanation:

The student has asked to describe the sorting rule for the numbers in two groups, Group A and Group B. Looking at Group A (0, 1, 4, 5, 8) and Group B (10, 32, 35, 57, 79), the sorting rule appears to be that numbers ending in either 0 or 5 are placed in Group B, while the others are placed in Group A.

To elaborate, we can see that:

Numbers in Group A do not end with either 0 or 5.

Numbers in Group B all end with a 0 or a 5.

This pattern suggests that the sorting rule is based on the units digit of each number.

1,205.76 units^3 or 384 π

Here is why:

The formula for the volume of a cone is:

[tex]V=\frac{1}{3}\pi r^2 h[/tex]

We can plug in.

[tex]V=\frac{1}{3}*3.14*8*8*18[/tex]

= 1,205.76 units^3

~

If you are looking for the exact answer, we will leave π.

[tex]V=\frac{1}{3}*\pi*8*8*18[/tex]

= 384 π

Answer:

(2, [tex]\frac{13}{3}[/tex] )

Step-by-step explanation:

Given the 2 equations

2x + 3y = 17 → (1)

3y = 15 - x → (2)

Substitute 3y = 15 - x into (1)

2x + 15 - x = 17, that is

x + 15 = 17 ( subtract 15 from both sides )

x = 2

Substitute x = 2 into either of the 2 equations for corresponding value of y

Substituting in (1)

2(2) + 3y = 17

4 + 3y = 17 ( subtract 4 from both sides )

3y = 13 ( divide both sides by 3 )

y = [tex]\frac{13}{3}[/tex]

Solution is (2, [tex]\frac{13}{3}[/tex] )

Rearranging...

3y + x = 15

3y + 2x = 17

Using elimination method

2x - x = -15 + 17

X = 2

From equation.... 2

3y + 2 = 15

3y = 15 - 2

3y = 13

Y = 13/3

::x = 2 while y = 13/3

Answer: 3

Step-by-step explanation: 3x3 is 9, and one side is 3 and we have square centimeters so 3 squared  or 3x3 is 9 which makes my answer correct, sorry if it was bad explanation this was the easiest question ive answered, plz follow me at twitch, at InfernoEliteGamingYT21

Answer:

Area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.

Step-by-step explanation:

We are given the following in the question:

Mirror 1:

[tex]d_1 = 30\text{ inches}\\\\\Rightaroow r_1 = \dfrac{30}{2}=15\text{ inches}[/tex]

Area of mirror 1 = Area of circle

[tex]A_1 = \pi r_1^2[/tex]

Putting values, we get,

[tex]A_1 = 3.14\times (15)^2=706.5\text{ square inches}[/tex]

Mirror 2:

[tex]d_1 = 18\text{ inches}\\\\\Rightaroow r = \dfrac{18}{2}=9\text{ inches}[/tex]

Area of mirror 1 = Area of circle

[tex]A_2 = \pi r_2^2[/tex]

Putting values, we get,

[tex]A_2 = 3.14\times (9)^2=254.34\text{ square inches}[/tex]

Difference between area =

[tex]=A_1-A_2\\=706.5-254.34\\=452.16\text{ square inches}[/tex]

Thus, area of a 30-inch circular mirror is greater than area of a 18-inch circular mirror by 452.16 square inches.

Answer:

true

Step-by-step explanation:

i would say this because a probability isn't meant to he exact and is ok to be around the answer

Answer:

False

Step-by-step explanation:

All probabilities have to be a positive number.

Answer:

7,120

Step-by-step explanation:

Answer:

565

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 5 and d = 13 - 5 = 8, thus

[tex]a_{71}[/tex] = 5 + (70 × 8) = 5 + 560 = 565

Answer:

B) f(x) = -3/5x +5

Step-by-step explanation:

There are several ways you can write the equation of a line from a list of points. When you look through the list and see that one of them is the y-intercept, then the problem can be easier. When you look through the list of answers and see that the required answer is in slope-intercept form, then you know all you need to do is find the slope to go with the intercept you've located. The point (x, f(x)) = (0, 5) tells you the y-intercept is 5.The slope, the change in y divided by the change in x for two points, is ...... (-1 -2)/(10 -5) = -3/5This is the slope and the coefficient of x in the linear equation.Now, we know the y-intercept (b=5) and the slope (m=-3/5), so we can fill in the slope-intercept form of the equation of a line:... y = mx + b... y = (-3/5)x + 5

Answer:

no solution

Step-by-step explanation:

Answer:

50 mph

Step-by-step explanation:

Speed = distance / time

speed = 200/4

speed = 50 miles per hour

Answer:

Step-by-step explanation:

Factors :  (x - 8) (x- 1/2)  or

(x - 8 ) (2x - 1)

Equation: (x - 8)(2x - 1) = x*2x + x*(-1) -8*2x -8*(-1)

= 2x² -x -16x + 8

=2x² -17x + 8

Answer:

2 times the square root of 21 all over 13

Step-by-step explanation:

Answer:

t=22

Step-by-step explanation:

13x2-2x2

26-4

22

Answer: 19,200 years

Step-by-step explanation:

Answer:

Minimum 7 buckets of water is needed to completely fill spherical storage tank.

Step-by-step explanation:

We are given the following in the question:

Cylindrical bucket:

Radius, r = 6 inches

Height = 18 inches

Volume of bucket = Volume of cylinder

[tex]V = \pir^2 h \\V = 3.14\times (6)^2\times 18\\V =2034.72\text{ cubic inches}[/tex]

Spherical storage tank:

Radius, r = 15 inches

Volume of tank = Volume of sphere =

[tex]V =\dfrac{4}{3}\pi r^3\\\\\V = \dfrac{4}{3}\times 3.14\times (15)^3\\\\V = 14130\text{ cubic inches}[/tex]

Number of baskets required =

[tex]n = \dfrac{\text{Volume of tank}}{\text{Volume of bucket}}\\\\n =\dfrac{14130}{2034.72} = 6.94 \approx 7[/tex]

Thus, minimum 7 buckets of water is needed to completely fill spherical storage tank.