The cost of a banquet can be calculated using the function b=75+15n where b
represents the total cost and n represents the number of people attending. If the total
cost of the banquet is 130, how many people attended the banquet? (Round to the
nearest whole number)

Answers

Answer 1

Answer:

4 people were attending the banquet

Step-by-step explanation:

1 - Rewrite

b = 75 + 15n; b = 130

2 - Plug in and get n alone

130 = 75 + 15n

- 75  -75

55 = 15n ←↓ Divide both sides by 15

55/15 = n

4 [tex]3.6666... = n \\\4 = n[/tex]

Hope this helps


Related Questions


Speedeez Go Carts charges $10 plus $2.50 per lap. Which best describes the relationship between total cost and the number
of laps?

Answers

Answer:

10+2.50*L

Step-by-step explanation:

It first says they charge $10 PLUS $2.50 per lap.

If I were to go only 1 lap my total would be $12.50, that's why the number of laps is labeled L because we don't know how many laps the customer is going to make.

Which statement about rigid transformations is true?

A.
A rigid transformation preserves only the side lengths of a polygon.

B.
A rigid transformation preserves only the angle measures of a polygon.

C.
A rigid transformation preserves both the side lengths and the angle measures of a polygon.

D.
A rigid transformation preserves neither the side l

Answers

Answer:

The answer is B because it is only the measure of the polygon

Amy earned $25 after babysitting for 3 hours. If she always charges the same rate, how much will she make after working for 7 hours?

Answers

Answer:

$58.33

Step-by-step explanation:

Set up a proportion where x is the amount she makes for 7 hours:

[tex]\frac{3}{25}[/tex] = [tex]\frac{7}{x}[/tex]

Cross multiply and solve for x:

3x = 175

x = 58.33

So, after working for 7 hours, she will make $58.33

Answer:

About 60-65$

Step-by-step explanation:

Because every 3 hours she gets $25 and she worked 7 hours so there's 6 in 7 hours so 25+25 is 50 and the other hour would be half of 25 so 12.5 so between 60-65. Im so sorry if its wrong hope it worked tho! <3

A grocery store sells a bag of 6 oranges for $3.90. What is the unit cost?
Pls Answer and I shall give u a- Thank You - Vielen Dank

Answers

Answer:

it would be 0.64

Step-by-step explanation:

Which figure is missing in the pattern?

Answers

Answer:

B

Step-by-step explanation:

The pattern is square numbers so

1, 4, 9, 16, 25

someone help me!! thank you

Answers

Answer:

0-12

1-24

2-36

3-48

Step-by-step explanation:

please help will give brainliest

Answers

Answer:

I think 5/15 is the answer

Step-by-step explanation:

Mr. Moore has 5 1/4 pounds of dry fish food. He will be putting an equal amount of food into 3 containers. How much fish food will be in each container?

Answers

5 and 1/4 can be 5.25 so all you have to do is divide that by 3 and you’ll get 1.75 per container.

If you wanted to keep it as a fraction, 5 and 1/4 would become 21/4 (you do 5 x 4= 20 + 1) and for fractions I always remembered dividing as ‘Keep, Change, Flip’ so you would do 21/4 for keep. Change would be to change the sign from division to multiplication. And for Flip you would flip 3 over 1 (3/1) to 1/3

Putting that all together would be 21/4 x 1/3 which also equals 21/12 by multiplying the denominators and numerators. Then you simplify, dividing it by 3 to equal 7/4 and another simplify to be 1 and 3/4 which is 1.75.


Hope this helps!

There are 30 students Ms. Washington’s class. Sixteen of the students are in band. What percent of Ms. Washington’s class is in band?

Answers

Answer: 53.33

Step-by-step explanation:

For each problem, explain or show your reasoning, a. 160 is what percentage of 40? b. 40 is 160% of what number? c. What number is 40% of 1602​

Answers

Answer:

A. 160 Out of 40 is 400%./// B. The answer is 25/// C.  The answer is 3905%

Step-by-step explanation:

( A )  One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 160 is 40% of =  160 X 100     = 400

                                        40

                                             

( B ) The same thing as A but the numbers are switched

       One step solution:

You can easily find the answer in one step, just multiplying the part by 100 then dividing the result by the percentage.

So, 40 is 160% of = 40 × 100      = 25

                                          160

( C ) Working out a percentage increase or decrease between two numbers is pretty simple. The resulting number (the second input) is 1602 and what we need to do first is subtract the old number, 40, from it:

1602 - 40 = 1562

Once we've done that we need to divide the result, 1562, by the original number, 40. We do this because we need to compare the difference between the new number and the original:

1562      = 39.05          

40

We now have our answer in decimal format. How do we get this into percentage format? Multiply 39.05 by 100?

39.05 x 100 = 3905%

160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

What is a percentage?

A ratio or value that may be stated as a fraction of 100 is called a percentage. And it is represented by the symbol '%'.

Problem A,

40% of 160 = 160 x 40 / 100

                  = 64

Problem B,

160% of 40 = 160 x 40 / 100

                  = 64

Problem C,

40% of 1602 = 1602 x 40 / 100

                     = 640.8

Therefore, 160 is percentage of 40,  40 is 160% , number is 40% of 1602​ are 64 , 64 and 640.8 respectively.

To learn more about the percentage;

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Describe the nature of the roots for the equation
49x2– 28x +4 = 0

Answers

Answer:

The roots of the equation is real and repeated

Step-by-step explanation:

Here, we want to describe the nature of the roots of the given quadratic equation

To get the nature of the roots, we find the discriminant of the equation

The discriminant is;

b^2 - 4ac

In this case, b = -28 , a = 49 and c = 4

The discriminant is thus;

-28^2 - 4(49)(4)

= 784 - 784 = 0

Since the discriminant is zero, this means that the quadratic equation has real roots which are the same

Find the probability of getting four consecutive aces when four cards are drawn without replacement from a standard deck of 52 playing cards.​

Answers

Answer:

P=0.0000037

P=0.00037%

Step-by-step explanation:

Probability

A standard deck of 52 playing cards has 4 aces.

The probability of getting one of those aces is

[tex]\displaystyle \frac{4}{52}=\frac{1}{13}[/tex]

Now we got an ace, there are 3 more aces out of 51 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{3}{51}=\frac{1}{17}[/tex]

Now we have 2 aces out of 50 cards.

The probability of getting one of those aces is

[tex]\displaystyle \frac{2}{50}=\frac{1}{25}[/tex]

Finally, the probability of getting the remaining ace out of the 49 cards is:

[tex]\displaystyle \frac{1}{49}[/tex]

The probability of getting the four consecutive aces is the product of the above-calculated probabilities:

[tex]\displaystyle P= \frac{1}{13}\cdot\frac{1}{17}\cdot\frac{1}{27}\cdot\frac{1}{49}[/tex]

[tex]\displaystyle P= \frac{1}{270,725}[/tex]

P=0.0000037

P=0.00037%

please help!!!!!!! and round your answer to a whole number :)))

Answers

Answer:it would Be 16 I think-

Step-by-step explanation:

i could use some help on this. thanks

Answers

Answer: is B

Step-by-step explanation:

Answer:

1 to 1?

Step-by-step explanation:

Is 9% of 998 pages less or larger HURRYYYYYYYY

Answers

Less than, Have Ah Good Day

Answer:

less that is it have good day

PLEASE HELP DUE SOON!!!
Jordan is mowing lawns to save money for the Camp Rodeo Field Trip. The total cost for the excursions, travel, and food will be $130. Jordan has already saved $50. Which of the following equations represents how much more money Jordan needs to save in order to go on the field trip?

A. x + 50 = 130

B. x - 50 = 130

C. x - 130 = 50

D. x = 50 + 130

Answers

Answer:

X + 50 = 130

Step-by-step explanation:

This is actually a subtraction equation although addition is how you set it up initially. X is the variable. You already have $50. You need $130.

To solve, subtract 50 from each side,

X + 50 - 50 = 130 - 50, and simplify,

X = 120.

Jordan will need $120 more to go to the Camp Rodeo Field Trip.

Hope this helps.

Factor the expression completely, -12.75 + 4.25x

Answers

-8.25x I believe

Explanation: when you add the two you get 8.25 but there are more negatives then positives so it’s gonna be negative and then you just add the x at the end

Using the order of operations, what should be done first to evaluate (-4) +6-(-3-4) (2) - 5?
VX
© Subtract 5 from 2.
Divide 6 by-3.
0 Add-3 and 4
O Multiply 4 and 2

Answers

The -3-4 that should be done first

Answer:

The answer is Add -3 and 4 should be done first

a quarterback throws a ball in the air from an initial height of 5 feet. The football has an initial vertical velocity of 50 feet per second. Another player catches the ball when it is 2 feet above the ground. How long is the ball in the air?

Answers

Answer:

The range of the function is from 2 feet to 12.25 feet

Step-by-step explanation:

In a function f(x) = y

x is the domain of the function

y is the range of the function

The height (h) of the ball at time (t) seconds can be represented by the equation h(t) = - 16 t² + 20 t + 6

∵ h(t) = - 16 t² + 20 t + 6

∴ The domain is t

∴ The range is h(t)

- To find the range of the quadratic function find the maximum or

minimum value of it

∵ The leading coefficient of the function is -16

∴ The function has a maximum value

To find the maximum value differentiate h(t) with respect to t and equate it by 0 to find the value of t for the maximum height

∵ h'(t) = -16(2) t + 20(1)

∴ h'(t) = -32 t + 20

- Equate it by 0

∵ h'(t) = 0

∴ -32 t + 20 = 0

- Subtract 20 from both sides

∴ -32 t = - 20

- Divide both sides by -32

∴ t = 0.625 seconds ⇒ time for the maximum height

Substitute the value of t in h(t) to find the maximum height

∵ h(0.625) = -16(0.625)² + 20(0.625) + 6

∴ h(t) = 12.25 feet

∴ The maximum height of the ball is 12.25 feet

∵ The ball is caught at 2 feet

∴ The range of the function is 2 ≤ h(t) ≤ 12.25

The range of the function is from 2 feet to 12.25 feet

the cytlindrical part of an architectrual column has height of 325cm and a diameter of 30cm. Find the volume of the cytlindrical part of the column. use 3.14 and round your answer to the nearest cubic centimeters if needed

Answers

229612.5 cm
To find the volume of a cylinder you have to use this equation V= (3.14)r^2h The (r) representing the radius and the (h) of representing the height It’s and to find Radius from diameter you have to find half of the diameter.

Answer:

Step-by-step explanation:

229,613 cm ^3 took test.

Which could be the first step in solving the equation represented by the model below?

A. Add 4 negative unit tiles to both sides.
B. Add 4 negative unit tiles to the left side, and add 6 negative unit tiles to the right side.
C. Add 4 positive unit tiles to both sides.
D. Add 6 negative unit tiles to the left side, and add 4 negative unit tiles to the right side.

Answers

Answer: A. Add 4 negative unit tiles to both sides.

Step-by-step explanation: Hope this helps

A dog that weighs 15 pounds should eat 2 1/8 cups of a certain type of dog food per day. How much of the same type of dog food should be fed, per day, to a dog who weighs 34 pounds?

Enter your answer in reduced form.

Answers

Answer:

289/60

Step-by-step explanation:

Rewrite the expression 16 + 32 as the product of the greatest common factor and the sum of the remaining numbers. Group of answer choices 2(8 + 16) 8(2 + 4) 4(4 + 8) 16(1 + 2)

please help and the question is in the docs

Answers

Answer:

sfuc,k u

Step-by-step explanation:

(x-3)2 = 4x
Which of the following is a value of x that satisfies the equation above?

Answers

Answer:

x=-3

Step-by-step explanation:

Answer:

x = -3

Step-by-step explanation:

2(x - 3) = 4x

2x - 6 = 4x

2x - 4x = 6

-2x = 6

x = -3

I hope this helps you :)

answer question for brainliest

The table shows the listed sale price for bottled water at four stores.


Which store charges the LEAST amount per bottle of water?

Store 1 Store 2 Store 3 Store 4
Three 12 packs One 12 pack Four 6 packs One 6 pack
$10.49 $3.89 $7.99 $2.29
A
Store 1

B
Store 2

C
Store 3

D
Store 4

Answers

Answer:

I believe it d I'm sorry if it wrong but if I'm right mark brainlyest please

Does anyone know how to do this?

Answers

Answer:

the 8 means there will be 8 zeros after it so

62.00000000

yw

please help me with this math question I don't get a lot of time

Answers

(-3,-1) is the answer.
They meet at that point.

Ten less than seven times a number is twenty three.

Answers

Answer:

I believe the number is 4.7

i think it’s 10-7x=23

Whats 2 & 1/2 divided by 3 & 1/3

A = 3/5

B = 3/4

C = 4/10

D= 15/12

help pls 25 points

Answers

Answer:

B = 3/4

Step-by-step explanation:

2 1/2 / 3 1/3

can be written as 5/2 divided by 10/3. I always use keep, switch, flip technique with fractions. keep 5/2 switch the division to multiplication, flip the 10/3 to 3/10

5/2 x 3/10 cross multiply

15/20 = 3/4

Answer:

It would be B. 3/4

Step-by-step explanation:

You turn the mixed numbers into improper fractions then you divide by using the reciprocal of the 3 & 1/3. This will leave you into the equation "5/2 * 3/10"

When multiplied, you will get "15/20" which simplifies to "3/4"

Triangle A′B′C′ is the image of ΔABC under a dilation such that A′B′ = 3AB. Triangles ABC and A′B′C′ are

A.congruent but not similar
B.similar but not congruent
C.both congruent and similar
D.neither congruent nor similar
PLS HELP

Answers

the correct answer is c if that is what you were looking for

Triangles ABC and A′B′C′ are similar but not congruent.

Hence, Option B is true.

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

We have to given that;

Triangle A′B′C′ is the image of ΔABC under a dilation such that,

⇒ A′B′ = 3AB.

Hence, The ratio of there corresponding sides are equal.

And, The length are not equal.

Thus, Triangles ABC and A′B′C′ are similar but not congruent.

Learn more about the triangle visit;

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