A catering company orders 150 lb of fresh clams for a banquet serving 100 people, and 30 lb of clams for dinner party of 20 people. Determine the standard number of clams per serving.​

Answers

Answer 1

Answer:

about two clams per person

Step-by-step explanation:

Answer 2

Answer:

It is 1.5 lb per serving.

Step-by-step explanation:

Well, this is just a matter of proportions.

Here is our current proportion:

150lb

---------

100 guests

Now, all we need to do is make it per one guest.

150lb     =      x lb

-----------      ---------------

100 guests = 1 guest

Now, to get from 100 to 1, I divided by 100, right?

So, because this is a ratio, and it needs to be proportional, we do the same for 150.

150/100=1.5.

It is 1.5 lb per serving.


Related Questions

If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?

Answers

Answer:

6 or -1.5

Step-by-step explanation:

We can let this integer be x.

Therefore, according to the question we have:

[tex]2x^2-18=9x[/tex]

Subtracting 9x, we have a quadratic:

[tex]2x^2-9x-18=0[/tex]

Plugging into the quadratic equation:

[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]

the square root of 81+144 is 15, so the answer is either 6 or -1.5

Help me plz NO LINKS


Thanks

Answers

Answer:

please I am tired texting and answering questions.

Lola is in the process of forecasting the sales growth rate for an early-stage venture specilizing in the production of durable running shoes. Lola predicts a 0.15 probability of an 85% growth in sales, a 0.2 probability of a 20% growth in sales, a 0.45 probability of a 10% growth in sales, nd a 0.20 probability of a 20% decrease in sales. What is the expected sales growth rate of the venture?

Answers

Answer:

Step-by-step explanation:

Expected growth =  0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20

= 17.25%.

8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?

Answers

Answer:

$200 at 5%$800 at 6%

Step-by-step explanation:

Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...

  0.05(1000-x) +0.06x = 58

  50 +0.01x = 58 . . . . . . . . . . . simplify

  0.01x = 8 . . . . . . . . . . . . . . . subtract 50

  x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%

  (1000-x) = 200 . . . . . . . find the amount invested at 5%

Lara invested $200 at 5% and $800 at 6%.

What is the gradient of the graph shown?
Give your answer in its simplest form.

Answers

Answer:

[tex]\displaystyle m = \frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify points from given graph.

Point (0, -1)

Point (-3, 0)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m.

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate:                                                                      [tex]\displaystyle m = \frac{1}{-3}[/tex]

A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.

Answers

Answer:$247

Step-by-step explanation

What’s is log17 divided by 4

Answers

Answer:

log(17 1/4)

Step-by-step explanation:

A bank loaned out $30,500, part of it at the rate of 5% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,405.00. How much was loaned at each rate?

$What was loaned at 5% and

$ What was loaned at 4%.

Answers

Step-by-step explanation:

Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:

.04(x) + .09(17500 - x) = 1100

Multiply the .09 times the inside of the parentheses:

.04x + 1575 - .09x = 1100

Simplify:

-.05x + 1575 = 1100

-.05x = -475

x = 9500

Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.

To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.

I hope this helps!

Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?

Answers

The total cost of the trip Lisa wants to take over the weekend is $500.

Let the total cost of the trip be T.

Given the following data:

Savings account balance = $200Percent of trip expenses = 40%

To determine the total cost of the trip Lisa wants to take over the weekend:

Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.

Total cost of her trip:

[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]

Total cost, T = $500.

Read more: https://brainly.com/question/2021001

Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.

Answers

Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry

Mark brainliest pls and also look at picture if u don't understand

Step-by-step explanation:

Yw :) :D

Stop looking up answers on brainly

A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.

Answers

337.5 miles, or 337 miles!

Answer: It will be able to travel 162 miles

Step-by-step explanation:

HELp PLeaSE ‼️‼️URGENT

Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98

THANKS ^_^ ! ! !

Answers

I think it's B ( I might be wrong)

Is the inequality 5-x^2<4 true for x=1?

Answers

5 - x² < 4

- x² < 4 - 5

- x² < - 1

=》x² < 1

Now, let's check with x = 1

x² < 1

(1)² < 1

1 < 1

1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.

_____

Hope it helps ⚜

Which of the following rules represents the function shown in the table?
f(x)=n+3
f(x)=3n
f(x)=1/3n​

Answers

Answer:

f(x)=3n

Step-by-step explanation:

We can see it goes x=2 to y=6 this has been times by 3, x=-1 to y=-3 also times  by 3 and x=0 y=0 0x3=0

10 minus one third of a number is 4

Answers

Answer:

x = 18

Step-by-step explanation:

10 - x/3 = 4

=> - x/3 = -6

=> -x = -18

=> x = 18

Hoped this helped.

Answer: 18

Step-by-step explanation:

10 -1/3y = 4

1/3y = 10 - 4

1/3y = 6

y = 6 x 3 = 18


A pair of pants costs $24.60 when it is on sale for 25% off. What was the
original cost of the pants? (still....no labels!)

Answers

well, we know the pants are 25% off, that means the current sale price is only 75% of the original price, say the original price is "x" or 100%.  So we know that $24.60 is 75%, what is the 100%?

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 24.6&75\\ x&100 \end{array}\implies \cfrac{24.6}{x}=\cfrac{75}{100}\implies \cfrac{24.6}{x}=\cfrac{3}{4} \\\\\\ 98.4=3x \implies \cfrac{98.4}{3}=x\implies 32.8=x[/tex]

Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is

Answers

Answer:

-1/2 is the slope of the graph.

50% of 70
help! I don’t understand!!

Answers

Answer:

The answer is 35.

Step-by-step explanation:

50% means half of a number.

For example, 50% of 20 is 10, because half of 20 is 10.

In this situation, the number is 70.

Do 70 divided by 2.

The answer is 35.

Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50.  This will give you 35. (The answer.)

Step-by-step explanation:

Any percent can be written as a decimal.  Move the decimal point two places to the right to convert a percent to a decimal.  For example, 25% to .25 and 50% to .50.  

[6x(5-3)+9]-5 with step by step

Answers

Answer: 10

Step-by-step explanation: [30-24+9]=15-5=10

The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.

What is the answer using PEDMAS?

The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First

E – Exponents

D – Division

M – Multiplication

A – Addition

S – Subtraction

First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.

For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.

Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.

Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.

Read more about PEDMAS here: https://brainly.com/question/345677

#SPJ6

Please help meee! I will give brainlist to quickest answer !!!

What is the equation of this graphed line?

Answers

Answer:

You said quick so here it is

[tex]y-6=2(x-2)[/tex]

How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger

Answers

8 x 10^8 is 4,000 larger than 2 x 10^5
the answer is D,
8x10^8 = 800000000
2x10^5= 200000
so it’s 4,000 times larger

Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?

Answers

0.55*(1-0.2)=0.44 so it is 0.44

Which variable expression represent the word phrase? The sum of 10 and the product of 7 and a number

Answers

Answer:

Step-by-step explanation:

y = 7x + 10

slope-intercept form of a linear equation

Please help me with this problem. I'm kind of stuck and don't know what to do.

Answers

Try this option:

1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;

2) if sin(u)=1/9, then cos(u):

[tex]cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};[/tex]

3) [tex]if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then[/tex]

[tex]sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};[/tex]

[tex]cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};[/tex]

[tex]tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.[/tex]

Solve.

Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.


a. (0.39 + x) ∙ (1.25 + y)

b. 0.39x + 1.25y

c. 1.64(x + y)

d. 39x + 1.25y

Answers

Answer:

the answer to the question is c

Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12​

Answers

Answer:

maybe it's 12 but i don't know...

10+8x > 2 Solve each inequality

Answers

Answer:

x>-1

Step-by-step explanation:

8x>2-10

8x>-8

x>-1

Answer:

x>-1

interval notation: (-1,infinty)

You work for a consumer advocacy agency and want to estimate the populations means cost of monthly maintenance on a car. It is assumed that the average monthly cost of maintenance is $210 dollars. In a random sample of 100 cars, you find the average monthly maintenance cost was $185. Assume that the population standard deviation is known to be $125; Use a 0.03 significance level to test the claim that the population mean weight of cost of maintenance differs from 210 lbs. State the null and alternate hypothesis test


A) H0: μ≤185
Ha: μ>185

B) H0: μ≥210
Ha: μ<210

C) H0=210
Ha: μ=185

D) H0: μ=210
Ha: μ ≠ 210

Answers

According to the desired test, the hypothesis are given by:

D) H0: μ=210

Ha: μ ≠ 210

At the null hypothesis, it is tested if the population mean is of 210 lbs, that is:

[tex]H_0: \mu = 210[/tex]

At the alternative hypothesis, it is tested if the population mean differs from 210 lbs, that is:

[tex]H_a: \mu \neq 210[/tex]

Hence, the correct option is:

D) H0: μ=210

Ha: μ ≠ 210

A similar problem is given at https://brainly.com/question/25707631

Find the sides, and the value of x and y.

Answers

Answer:

[tex]\huge\boxed{x=15;\ y=4}[/tex]

Step-by-step explanation:

Proportion:

[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]

[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]

substitute x = 15:

[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]

Simplify |x| - |-x|.

Answers

Answer:

0

Step-by-step explanation:

Two cases: if [tex]x\ge0[/tex]

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

Instead if [tex]x<0[/tex]

[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]

Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs

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