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.
Answer:
about two clams per person
Step-by-step explanation:
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.
Good morning! May somebody help me as soon as possible? Like ASAP ASAP possible
Answer:
i hope you'll understand
Step-by-step explanation:
[tex] - x - 2y = 5 \\ 3x + 2y = 9 \\ - x - 2y - 5 = 3x + 2y - 9 \\ - 4x - 4y - 4 = 0( \div by \: - 1) \\solution 4x + 4y = 4[/tex]
What is the slope of the line?
Answer:
[tex] - \frac{2}{3} [/tex]
Step-by-step explanation:
Pick two points on the graph: (4, -5) and (1, -3)
[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]
Slope
[tex] = \frac{ - 5 - ( - 3)}{4 - 1} [/tex]
[tex] = \frac{ - 5 + 3}{3} [/tex]
[tex] = - \frac{2}{3} [/tex]
Write an equation in slope-intercept form for the line with y-intercept −8 and slope 1/3
Answer:
y=1/3x-8
Step-by-step explanation:
The slope intercept form of a line is y=mx+b
m stands for slope and b stands for y intercept
So ... simply put 1/3 in for m and -8 in for b
Help help help help help help help math math
Answer:
Step-by-step explanation:
5x + 10 + 10x + 5 = 180
15x + 15 = 180
15x = 165
x = 11
A pine tree measured 40 1 / 2 feet tall. Over the next 7 1 / 2 years, it grew to a height of 57 feet. During the 7 1/2 years, what was the average yearly growth rate of the height of the tree?
The average yearly growth rate of the height of the tree is 2 1/3 feet
Given:
original height of the pine tree = 40 1/2 feet
Height in next 7 1/2 years = 57 feet
Change in height = Height in next 7 1/2 years - original height of the pine tree
= 57 height - 40 1/2 feet
= 17 1/2 feet
Average growth rate yearly = Change in height / number of years
= 17 1/2 feet ÷ 7 1/2 years
= 35/2 ÷ 15/2
= 35/2 × 2/15
= (35 × 2) / (2 × 15)
= 70/30
= 2 10/30
= 2 1/3 feet
Therefore, the average yearly growth rate of the height of the tree is 2 1/3 feet
Learn more about fraction:
https://brainly.com/question/1622425
What is 1.231 rounded to the nearest hundredth?
1.23 would be your answer.
Have a great day! :)
Which item produces the magnetic field in the electromagnet?
A-paperclips
B- a switch
C-paint brushes
D- a magnet
Answer:
Its ethier a switch or magnet
pls help meee
6.) in a repeating musical pattern, there are 56 beats in 7 measures. How many measures are there in 104 beats?
Answer:
23 measure
Step-by-step explanation:
because 56/7 = 8
so 104/8=23
Answer:
13 measures
Step-by-step explanation:
for every 7 measures, there is 56 beats. and if you want to find out how many beats there are per measure, you would do 56 ÷ 7 = 8.
Now that you've found thay there are 8 beats per measure, you would divide 104 by 8 to find out how many measurs there are.
104 ÷ 8 = 13
help pls dawg i aint tryna get an F
Answer:
The answer is d hope this helps!!
Step-by-step explanation:
Divide by lomg division
Which of the following is NOT an equivalent expression for the confidence interval given by 161.7
Choose the correct answer below.
O A. 161.7 +27.8
B. 175.6 -13.9
O C. 175.6 + 13.9
OD. (161.7.189.5)
According to the confidence interval given, the non-equivalent expression is:
A. [tex]161.7 \pm 13.9[/tex]
The interval given is:
[tex]161.7 \leq \mu \leq 189.5[/tex]
Which can also be written as: (161.7.189.5)
The point estimate is the halfway point of the interval, hence:
[tex]\overline{x} = \frac{161.7 + 189.5}{2} = 175.6[/tex]
The margin of error is half the difference of the bounds, hence:
[tex]M = \frac{189.5 - 161.7}{2} = 13.9[/tex]
According to the point estimate and to the margin of error, the interval can also be written as:
[tex]175.6 - 13.9 \leq \mu \leq 175.6 + 13.9[/tex]
[tex]175.6 \pm 13.9[/tex]
Hence, the only expression which is non-equivalent is:
A. [tex]161.7 \pm 13.9[/tex]
You can learn more about confidence intervals at https://brainly.com/question/25779324
The equation y = 1/4x represents a proportional relationship. What is the constant of proportionality?
Answer:
The constant of proportionality is k=1/4
Step-by-step explanation:
For the equation y=kx, y varies directly with x with the constant of proportionality k. Therefore, k=1/4 is the answer.
A movie theater charges $7.00 for adults and $2.00 for senior citizens. On a day when people paid for admission, the total receipts were $1225. How many who paid were adults? How many were seniors?
Answer:
7.00+2.00=9.00
2.00-7.00=5.00
how much solutions does 2x = 2x + 1 have?
Answer:
no solution
Step-by-step explanation:
hope this helps! :D
have a miraculous day!! <3
What is the slope of the line containing the points (17,92) and
(21, 44)?
Answer:
-9.6
Step-by-step explanation:
92-44/17-21
Answer:
-12
Step-by-step explanation:
Formula:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Identify the values:
[tex]y_2=44[/tex]
[tex]y_1=92[/tex]
[tex]x_2=21[/tex]
[tex]x_1=17[/tex]
Plugin the values; solve:
[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]\frac{44-92}{21-17}[/tex]
[tex]= \frac{-48}{4}[/tex]
[tex]\bold{m=-12}[/tex]
Therefore, the slope of the line containing the points (17,92) and
(21, 44) is -12.
What number must each side of the equation 3/5x= 12 be multipled by to produce the equivalent equation x = 20?
Answer:
1
Step-by-step explanation:
First, find out what the product would be if you multiply 20 with the fraction:
(3 * 20)/5 = 60/5 = 12
12 = 12 ∴ (3/5)(20) = 12
As 20 is your answer, you would need to only multiply 1 to obtain the correct balance for the equation.
Miriam has 3 packages of pencils. Each
package has 6 pencils. She needs an
eraser for each pencil. How many erasers
will she need to buy?
Tell which OPERATIONS you will use. Then
solve the problem. (Very important).
Answer:
18
Step-by-step explanation:
you will use multiplication
3(packages of pencils)×6(pencils)=18pencils
so she will need 18 erasers for each pencil
2(7x-5)-6x+2=0 help me out
[tex]2(7x-5)-6x+2=0\\\\\implies 14x -10 -6x +2=0\\\\\implies 8x -8 =0\\\\\implies 8(x-1) =0\\\\\implies x -1 =0\\\\\implies x =1[/tex]
It’s number 5 what is the domain and range plz help urgent
Answer:
Domain: -2,-1,0,3 Range: -2,-1,0,3
Step-by-step explanation:
The x values (horizontal) is the domain and the dots on the x values are -2,-1,0,3. The y values is the range and the dots on the y values are -2,-1,0,3. Hope this helps :)
2. Write an equation in slope-intercept form for the line with a slope of -9 and a
y-intercept of 18.
Answer:
y = -9x + 18.
Step-by-step explanation:
The general form is y = mx + c , where m = the slope and c = y-intercept.
[tex]\huge\boxed{Hi \: there! :)}[/tex]
We are given the slope of the line: -9.
We are also given its y-intercept: 18.
Slope-Intercept Form:
[tex]\huge\sf\{y=mx+b[/tex]
Where
m is the slope and b is the y-intercept.
Plug in the values:
y=-9x+18
[tex]\huge\boxed{Therefore, \: our \: equation \: is: y=-9x+18}[/tex]~An Unknown Dreamer
Good luck!
A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.
337.5 miles, or 337 miles!
Answer: It will be able to travel 162 miles
Step-by-step explanation:
plz helppppppppppopppppp
Can the sum or multiplication of two palindromic numbers be another palindromic number?
Answer: No.
Step-by-step explanation:
If you multiply 1001 by 1001 it's not another palindromic number.
Multiply. Write the answer in simplest form. 3/7 x 2 5/6
193/42
3×6+25×7÷4218+175÷42193/42What is the total holiday debt (no less than $500) that you are trying to pay off and what did you purchase
to accrue (accumulate) that debt?
The square below represents one whole.
Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
Answer:
Fraction: 9/10
Decimal: 0.9
Percent: 90%
Solve for x given that AC = 4, CE = 8, AB = X - 8, and BD = 2.
What is the measurement of AB?
calculate the area please help
Answer:
99 cm²Step-by-step explanation:
To calculate the area of a triangle, multiply the height by the width (this is also known as the 'base') then divide by 2
(11 * 18) : 2 =
198 : 2 =
99 cm²
What is the total amount and the amount of interest earned on $5,000 at 8% for 20 years?
Answer:
final balance = 24,634.02
compound interest = 19,634.02
Step-by-step explanation: not my answer
Evaluate the expression when c=4 and y=-4.
6(4) (-4)
Answer:
6×4×(-4)
24×(-4)
-96
Step-by-step explanation:
Hope it will help you...