William and
Debra
Pierce are celebrating their
20th anniversary by having a reception at a local reception hall. They have budgeted
$2,000 for their reception. If the reception hall charges a
$50 cleanup fee plus
$36 per​ person, find the greatest number of people that they may invite and still stay within their budget.

Answers

Answer 1

Answer:

54

Step-by-step explanation:

i put in the calculator 50+36×54= and got this 1,994


Related Questions

which graph represents (x,y)(x,y)left parenthesis, x, comma, y, right parenthesis-pairs that make the equation y = 0.5x+5y=0.5x+5y, equals, 0, point, 5, x, plus, 5 true?

Answers

The graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

The equation is given as:

[tex]\mathbf{y = 0.5x + 5}[/tex]

A linear equation is represented as:

[tex]\mathbf{y = mx + c}[/tex]

Where m represents the slope, and c represents the y-intercept

So, by comparison:

m = 0.5

c = 5

This means that:

The slope is 0.5, and the y-intercept is 5

Hence, the graph of [tex]\mathbf{y = 0.5x + 5}[/tex] has a slope of 0.5, and a y-intercept of 5

See attachment for the graph of [tex]\mathbf{y = 0.5x + 5}[/tex]

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3rd one i just did it on edge :P

Plz help ASAP assignment due today !!!

Write the Properties of at least 5 different types of polygons of your choice and the properties of a circle.

Answers

Square - a rectangle (4 sided shape) whose sides are equal length

Rectangle - a polygon that has 4 sides and 4 right angles - two pairs of parallel lines

Triangle: a polygon with 3 sides and 3 angles. The angles add up to a total of 180 degrees. There are 3 kinds of triangles

Parallelogram - a polygon with 4 sides, 2 pair of parallel lines, 2 obtuse angles and 2 acute angles.  

Trapezoid - a polygon with 4 sides and only 1 pair of parallel lines

Circle: a shape with no sides, angles, or parallel lines. Any point in the circumference to the center of the circle is the same length.

Happy to help!

Answer:

1). Triangle - Has 3 equal sides and angles of 60°.

2). Square - A quadrilateral with 4 equal sides and angles (all the angles are right angles).

3). Rectangle - A quadrilateral with 2 equal parallel sides horizontal and vertical. All the angles are equal because they are right angles.

4). Pentagon - It has 5 equal sides with equal angles of 108°.

5). Hexagon - It has 6 equal sides with equal angles of 120°.

PROPERTIES OF A CIRCLE:

It has no sides with no angles. The radius in any direction from the point are of the same length.

HELPP AGAIN PLEASE!! 2/5 (10c -35) (the 35 is negative)

Answers

Answer:

4c - 14

Step-by-step explanation:

2/5 (10c -35)

Distribute

2/5 * 10c - 2/5 * 35

4c - 14

Answer:

See below.

Step-by-step explanation:

[tex]\frac{2}{5} (10c-35)\\\text{Distribute}\\=\frac{2}{5}(10c)+\frac{2}{5}(-35) \\=\frac{20}{5} c-\frac{70}{5}\\ =4c-14[/tex]

Pablo graphs a system of equations. One equation is quadratic and the other equation is linear. What is the greatest
number of possible solutions to this system?

Answers

Answer:

greatest number of solutions is 2

Step-by-step explanation:

one is a parabola, the other is a line

so it can intersect in 0, 1, 2 points

Find the distance across the lake. Assume the triangles are similar.
80 m
х
у
20 m
60 m

Answers

Answer:

A.   L = 240 m

Step-by-step explanation:

use similar triangle

L / 60 = 80 / 20

L = (80 * 60) / 20

L = 240 m

The required distance across the lake is 240 m. Hence correct option is A.

What are Similar triangles?

Similar triangles, are those triangles which have similar properties i.e. angles and proportionality of sides.

Since, triangles are similar.
The ratio of their sides are also equal
60/20= L/80
L=80 x 3
L = 240 m

Thus, the required distance across the lake is 240 m.

Learn more about similar triangles here:

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Rona mixes 2 pounds of meat with some chopped vegetables to make a mixture. She divides the mixture into 4 equal portions. Each portion weighs 3 pounds. Which equation and solution shows the total amount of chopped vegetables she used in the mixture?
One-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables
One-fourth (2 + v) = 3; v = 4 pounds of chopped vegetables
4 (2 + v) = 3; v = 1 pound of chopped vegetables
4 (2 + v) = 3; v = 5 pounds of chopped vegetables

Answers

Answer:

First choice: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Step-by-step explanation:

"2 pounds of meat with some chopped vegetables"

2 + v

"She divides the mixture into 4 equal portions."

(1/4)(2 + v)

"Each portion weighs 3 pounds."

(1/4)(2 + v) = 3

2 + v = 12

v = 10

Answer: (1/4)(2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

(2+v)=3   v=10

Step-by-step explanation:

During his 2001 MVP season for the Seattle Mariners, Ichiro Suzuki batted 0.350, meaning that his probability of getting a hit in any bat was 0.350.
In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Answers

Answer:

In a 2001 game, during which he came to bat 3 times, Ichiro could expect to get at least 1 hit. That is, E(X) >1

Step-by-step explanation:

Answer: 0.457

Step-by-step explanation:

Express as a trinomial.
(3x+5)(2x+9)

Answers

The answer is 6x2+37x+45

Answer:

[tex]6x^{2} +37x+45[/tex]

Step-by-step explanation:

Hello!

A trinomial is a algebraic expression containing 3 terms

To turn this into a trinomial we have to multiply everything by each other

              3x              

3x * 2x = 6x^2

3x * 9 = 27x

              5              

5 * 2x = 10x

5 * 9 = 45

Now we put it all together

6x^2 + 27x + 10x + 45

Combine like terms

6x^2 + 37x + 45

The answer is [tex]6x^{2} +37x+45[/tex]

Hope this helps!

choose the answer based on the most efficient method. if the first step in the equation " -9 + x = 5x - 7" is subtract x, what should the next step be

Answers

Answer:

add 7 to both sides

Step-by-step explanation:

This is so because we are trying to solve the equation by seperating the variables from the real numbers. So as they remove all variables from the left side of the equation, we should remove any remaining numbers that are on the right side of the equation.

Hope this helps!

Sandy had test scores of 20, 25, 17, 22, and 21. What is the average (mean) score. On the next 3 test Sandy's score were 24, 24, and 23. What is her mean now?

Answers

Answer:

a) First Average mean = 21

b) Current mean = 22

Step-by-step explanation:

Formula For mean =

Sum of Terms/ Number of terms

a)Sandy had test scores of 20, 25, 17, 22, and 21.

Number of terms = 5

Mean = (20 + 25 + 17 + 22 + 21)/5

= 105/5

= 21

b) On the next 3 test Sandy's score were 24, 24, and 23

To calculate this current mean, we will add the first 5 test scores, with this current 3 test scores and then find the average.

Mean = (20+ 25+ 17 +22 +21 + 24 + 24 + 23)/8

Mean = 176/8

Mean = 22

Possible Points: 100 One January day, the low temperature in Fargo, ND was -8 degrees. Over a period of six hours, the temperature rose 4 degrees per hour. After si hours, what was the temperature?

Answers

29 personal briefing on my p

please help me on this

Answers

Answer:

YZ = 8.5

Step-by-step explanation:

Since RY is an angle bisector then the ratio of the sides of the triangle are equal to the corresponding ratio of the base, that is

[tex]\frac{YX}{YZ}[/tex] = [tex]\frac{XR}{ZR}[/tex] , substitute values

[tex]\frac{11.9}{YZ}[/tex] = [tex]\frac{7}{5}[/tex] ( cross- multiply )

7YZ = 59.5 ( divide both sides by 7 )

YZ = 8.5

Write this expression as a complex number in standard form

Answers

Answer:

[tex]81+144i[/tex]

Step-by-step explanation:

We want to simplify:
[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i[/tex]

Recall that:

[tex]\displaystyle \sqrt{-a} = i\sqrt{a}[/tex]

Therefore:
[tex]\displaystyle \begin{aligned} (-3\sqrt{-81})(-5+\sqrt{-9}) + 9i & = (-3i\sqrt{81})(-5+i\sqrt{9})+9i \\ \\ &= -(3i(9))(-5+i(3))+9i \\ \\ & = -27i(-5+3i)+9i \\ \\ & = 135i -81i^2 + 9i \\ \\ & = 144i - 81i^2 \\ \\ & = 81+144i\end{aligned}[/tex]

Note that i² = -1.

In conclusion:

[tex]\displaystyle (-3\sqrt{-81})(-5+\sqrt{-9})+9i = 81 + 144i[/tex]

The answer is 81+144i

what is the value of x to the nearest tenth

Answers

Answer:

14.1

Step-by-step explanation:

Use tan to help:

x/7 = tan (64°)x = 7*tan (64°) x = 7*2.05x = 14.1

Match the graph with the correct equation.

Answers

Answer:

work shown and pictured

In Isosceles trapezoid ABCD, the longer base, AB, is one and one half times as long as the shorter base, CD. The other two sides, AD and BC, are both 13 cm. long. a. If the perimeter is 76 cm. find the lengths of AB and CD. b. If the height of the trapezoid is 12 cm. find its area. (Hint: Area

Answers

otal perimeter = 76cm = AB + BC + CD + AD

AD & BC = 13cm

AB = 1.5*(CD)

Solution:

Since we know AD & BC are both 13cm long, plug those numbers into the perimeter equation

76cm+=+AB+%2B+BC+%2B+CD+%2B+AD Place 13cm in for AD & BC

 

76cm+=+AB+%2B+13cm+%2B+CD+%2B+13cm Combine like terms

76cm+=+AB+%2B+CD+%2B+26cmSubtract 26cm from both sides

50cm+=+AB+%2B+CD Now it is time to substitute the 1.5*(CD) for AB

50cm+=+1.5%2A%28CD%29+%2B+CD rewrite the equation

50cm+=+2.5%2A%28CD%29 Divide both sides by 2.5

20cm+=+CD

To find AB, plug 20cm in for CD in the equation AB = 1.5*(CD)

AB+=+1.5%2A20cm

AB+=+30cm

What are the vertical and horizontal asymptotes for the function f(x)=
3x2/x2-4

Answers

Answer:  f(x) will have vertical asymptotes at x=-2 and x=2 and horizontal asymptote at y=3.

Step-by-step explanation:

Given function: [tex]f(x)=\dfrac{3x^2}{x^2-4}[/tex]

The vertical asymptote occurs for those values of x which make function indeterminate or denominator 0.

i.e. [tex]x^2-4=0\Rightarrow\ x^2=4\Rightarrow\ x=\pm2[/tex]

Hence, f(x) will have vertical asymptotes at x=-2 and x=2.

To find the horizontal asymptote , we can see that the degree of numerator and denominator is same i.e. 2.

So, the graph will horizontal asymptote at [tex]y=\dfrac{\text{Coefficient of }x^2\text{ in numerator}}{\text{Coefficient of }x^2\text{ in denominator}}[/tex]

i.e. [tex]y=\dfrac{3}{1}=3[/tex]

Hence, f(x) will have horizontal asymptote at y=3.

Could you guys please help with this question :) At a teacher's college, 70% of students are female. On average 75% of females and 85% of males students graduate. A student who graduates is selected at random, find the probability that the student is male.

Answers

Answer:

Step-by-step explanation:

70% of students are female

70/100* 75%= you get your answer

then subtract the percentage of the males and the females and then you get your answer

The midpoint (x, y) and the end point (x2, y2) are known. Find (x1, Y1) using the midpoint formula.

a. (x1,y1) = (2x + x2, 2y+y2)

b. (x1,y1) = (2x - x2, 2y - y2)

c. (x1,y1) = (x + x2, y + y2)

d. (x1,y1) = (x - x2, y - y2)

Answers

Answer:

(x1,y1) = (2x - x2, 2y - y2)

Step-by-step explanation:

Given:

Midpoint = (x , y)

End point = (x2, y2)

Find:

(x1, y1)

Computation:

Mid-point formula

x = (x1 + x2) / 2 , y = (y1 + y2) / 2

So,

2x = x1 + x2 , 2y = y1 + y2

x1 = 2x - x2 , y1 = 2y - y2

So,

(x1,y1) = (2x - x2, 2y - y2)

Simplify 27^(-2/3) x 25^(1/2) x 5^0 9 5 9/5 5/9

Answers

Answer:

[tex]\frac{5}{9}[/tex]

Step-by-step explanation:

Using the rules of exponents/ radicals

[tex]a^{\frac{m}{n} }[/tex] ⇔ [tex]\sqrt[n]{a^{m} }[/tex] , [tex]a^{0}[/tex] = 1

[tex]a^{-m}[/tex] = [tex]\frac{1}{a^{m} }[/tex]

Given

[tex]27^{-\frac{2}{3} }[/tex] × [tex]25^{\frac{1}{2} }[/tex] × [tex]5^{0}[/tex]

= [tex]\frac{1}{27^{\frac{2}{3} } }[/tex] × [tex]\sqrt{25}[/tex] × 1

= [tex]\frac{1}{9}[/tex] × 5 × 1

=[tex]\frac{5}{9}[/tex]

what is the change in each term of the sequence? 0.8, 1, 1.2, 1.4, 1.6​

Answers

Begin by studying the pattern.

Notice that the difference between 0.8 and 1 is 0.2.

In other words, 0.8 + 0.2 is 1.

In the same way, 1 + 0.2 is 1.2.

1.2 + 0.2 is 1.4 and 1.4 + 0.2 is 1.6.

So we can see that the difference

between each of the terms is 0.2.

Answer:

+.2

Step-by-step explanation:

To find the common difference, take the second term and subtract the first term

1 - .8 = .2

Check by subtracting the second term from the third term

1.2 - 1 = .2

The common difference is .2

which whole number has a factor that is the greatest prime factor between 1 and 30?
А. 1,593
B. 1,247
C. 1,311
D. 943

Answers

Answer:

B

Step-by-step explanation:

The greatest prime factor between 1 and 30 is 29. Remember that a prime number is a number whose only 2 factors is 1 and the number itself. To find out which number is a multiple of 29, all we have to do is divide it by 29, and if the quotient is a whole number then we have found our answer.

A: 1593 / 29 ≈ 54.93

B: 1247 / 29 = 43

We don't need to check C and D because we know that B is the answer.

1247 has the greatest prime factor between 1 and 30

The factor of a number that divides another number perfectly without leaving any remainder.  

For example, the factors of 12 are 1,2,3,4,6 and 12

A prime factor is a number that a prime number

A prime number is a number that can be divided only by 1 and that number

Prime numbers between 1 and 30 are 2, 3, 5, 7, 11, 13, 17, 19, 23 and 29

The greatest prime factor between 1 and 30 is 29

To determine which number has the greatest prime factor, divide each of the numbers in the options by 29.

1593 / 29 = 54.9 (29 is not a prime factor of 1593)

1247/29 = 43 (29 is a prime factor of 1247)

1311 / 29 = 45.2  (29 is not a prime factor of 1311)

943 / 29 = 32.5  (29 is not a prime factor of 943)

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Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.

Answers

Answer:

[tex]y = \frac{-3}{4}x + 36[/tex]

Step-by-step explanation:

Data provided in the question

Height = 36 inches

Stant of the stairs followed that declines 9 inches for every 12 horizontal inches

Height = x

x =  from top of the stairs

based on the above information

Therefore the change in rate is

[tex]\frac{-9}{12} = \frac{-3}{4}[/tex]

It depicts the line sloping.

Now the function would be determined by the line equation which is as follows

y = mx+c

[tex]m = \frac{-3}{4}[/tex]

where,

c = 36 inches

So, the function is

[tex]y = \frac{-3}{4}x + 36[/tex]

Answer:

Answer is A

Step-by-step explanation:

Emily's family loves to work together in the garden.They have a slight preference for flowers, as 60\%60%60, percent of their plants are flowers and 40\%40%40, percent are vegetables. They have 505050 plants growing in the garden. How many vegetable plants do they have?

Answers

50 plants total, 40% are vegetables

40% = 40/100 = 0.40

40% of 50 = 0.40*50 = 20

Answer: There are 20 vegetable plants

Someone please help me ASAP

Answers

Answer:

the percentage share for BBC2 remained almost the same at about 11 % each year

if you look at the chart the BBC2 almost remains stable between 10 and 12 %

1980 ( between 39 and 51)

1985 ( between 37 and 49 ) and so on

( these numbers are not exactly the same , it is about or approximately)

What angle does an arc 6.6cm in length subtends at the centre of a circle of radius 14cm. Use π = 22/7)

Answers

Answer:

STEP 1: Find the circumference:

Circumference = 2πr

Circumference = 2π(14) = 28π cm

............................................................................................

STEP 2: Find the length of the arc:

Length of the arc = 36/360 x 28π

Length of the arc = 8.8 cm

.............................................................................................

Answer: The length of the arc is 8.8 cm

............................................................................................

hope it helpssss

Mark it as brilliant answer plzzz

ФωФ

Answer:

27°

Step-by-step explanation:

arc length = circumference × fraction of circle

let x be the central angle, then

2πr × [tex]\frac{x}{360}[/tex] = 6.6

2 × [tex]\frac{22}{7}[/tex] × 14 × [tex]\frac{x}{360}[/tex] = 6.6

88 ×[tex]\frac{x}{360}[/tex] = 6.6 ( multiply both sides by 360 )

88x = 2376 ( divide both sides by 88 )

x = 27

Thus central angle is 27°

I need Helpppp quick!!!!

Answers

Answer:

G

Step-by-step explanation:

let his fixed price be x and his hourly fee be y;

270 = 4y + x

420 = 7y + x

x is common in both equations

equate the two;

x = 270-4y and x = 420-7y

270-4y = 420-7y

3y = 150

y = 50

x = 270-4*50

x = 70

If a number is divided by 3 or 5, the remainder is 1. If it is divided by 7, there is no remainder. What number between 1 and 100 satisfies the above conditions?

Answers

Answer:

91

Step-by-step explanation:

Look at multiples of 7 and you’ll find 91.

91 dived by 3 is 30 with a remainder of 1.

91 divided by 5 is 18 with a remainder of 1.

91 divid by 7 is 13 with no remainder.

91 is the number between 1 and 100 satisfies the above conditions

What is Number system?

A number system is defined as a system of writing to express numbers.

Given that a number is divided by 3 or 5, the remainder is 1.

If it is divided by 7, there is no remainder

We need to find the number between 1 and 100 which satisfies the given conditions.

Let us consider 91.

When 91 is divided by 3 we get 30 and 1 as remainder.

91 divided by 5 is 18 with a remainder of 1.

91 divided by 7 is 13 it does not have any remainder or remainder is zero.

Hence, 91 is the number between 1 and 100 satisfies the above conditions

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What effect will replacing x with (x – 7)have on the graph of the equation y = = (x + 4)??
A. slides the graph 3 units down
B. slides the graph 3 units up
C. slides the graph 7 units right
D. slides the graph 3 units right

Answers

Answer:

D

Step-by-step explanation:

When you graph the first equation y = (x + 4) it will have a x-intercept of -4 and a y-intercept of 4.  

When you replace x with (x-7) the equation will be converted into

y = ((x-7)+4)

y = x-3

When you graph this you see it has a x-intercept of 3 and a y-intercept of -3

To find the distance add the 2 x values together:

-4 + (-3) = ?

-4 -3 = ?

-7 = ?

Therefore the graph will shift units right

Vanessa owed her friend $24. She paid back $8. How much more does Vanessa need to pay before her account is at zero?

Answers

Answer:

$16

Step-by-step explanation:

$24 - $8 = $16

Answer:

$ 16

Step-by-step explanation:

$ 24 - $ 8 = $ 16

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