Answer:
67
Step-by-step explanation:
A restaurant hired 15 servers for one banquet. They pay a full-time server $21.00 per hour and a part-time server $17.00 per hour. If the labour cost of the restaurant was $275.00 per hour, how many full-time and part-time servers were there for the banquet?
Answer:
5 full time servers and 10 part-time servers
Step-by-step explanation:
Hope this helped, please let me know if it is correct.
Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars?
Answer:
5 cups
Step-by-step explanation:
1 cup/jar x 5 jars is 5 cups
njsfkulrnfijrirjir help me help me help me help
Answer:
d.13/24
Step-by-step explanation:
a jacket is on sale for $170. this is 80% of the regular price. what is the regular price
Answer:
$212.5
Step-by-step explanation:
x= 100*170/80
x= 17000/80
x= 212.5
Evaluate.
(1/5+1/2)^2+3/10⋅5
Enter your answer as a mixed number in simplest form by filling in the boxes.
Answer:
1/5+1/2²+3/10•5=1/7²+15/100
The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100.
What is a number system?The number system is a way to represent or express numbers.
Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.
As per the given expression,
(1/5+1/2)^2+3/10⋅5
⇒ (1/5+1/2)²+ 15/10
Take LCM in the bracket as 10
⇒ [(2 + 5)/10]² + 15/10
⇒ (7/10)² + 15/10
⇒ 49/100 + 15/10
Take LCM as 100
⇒ (49 + 150)/100 = 199/100
⇒ 1 99/100
Hence "The resultant of the expression (1/5+1/2)^2+3/10⋅5 in mixed number will be 1 99/100".
For more about the number system,
https://brainly.com/question/22046046
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Hi! ❤️ Pls help here thanksThe figure shows two parallel lines cut by a transversal.
What is the value of x?
x =
Answer:
x = 33
Step-by-step explanation:
Note that there are two parallel lines cut by a transversal (given).
The two angles given are corresponding angles, meaning that there measurements will be the same. Set the equation:
124 = 4x - 8
Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& Roots)
Multiplication
Division
Addition
Subtraction
~
First, add 8 to both sides of the equation:
124 = 4x - 8
124 (+8) = 4x - 8 (+8)
124 + 8 = 4x
132 = 4x
Next, divide 4 from both sides of the equation:
(132)/4 = (4x)/4
x = 132/4
x = 33
33 is your answer.
~
Determine whether the equation below has a one solutions, no solutions, or an infinite number of solutions. x-8=8-x
Hello!
Answer:
One solution (8)
Step-by-step explanation:
Hope this helps!
36 workers can complete a piece of work in 12 days how many workers should be removed to complete the same work in 24 days
please explain step by step
can you simplify -3.2/0.8
Explanation:
Move the decimal point to the right one spot for each value
-3.2 turns into -32
0.8 turns into 8.0 which is the same as 8
That means the given fraction is the same as -32/8 which simplifies into -4
Order the numbers from least to greatest 0.607, 607, 6.07, 60.7
Answer:
0.607, 6.07, 60.7, 607
Step-by-step explanation:
In the fourth grade at Jefferson elementary School, there are 125 students. In the fifth grade, there are 136 students. How many total students are there in fourth and fifth grade?
answer is 261
Step-by-step explanation:
add both numbers together
What is an equation of the line that passes through the points (-2, 1)(−2,1) and (-6, -5)(−6,−5)?
Answer:
ind the slope of the original line and use the point-slope formula y − y 1 = m ( x − x 1 )
to find the line parallel to x + 4y = 28 .
Step-by-step explanation:
Write an equation for the description.
The length of a rectangle is twice its width. The perimeter of the rectangle is 130 feet.
Answer:
2x + 4x = 130
x = 21.7 feet
Step-by-step explanation:
Width: x
Length: 2x
2x + 2(2x) = 130
6x = 130
x = 130/6
x = 21.7 feet
After 12 years I shall be three times as old as I was 34years ago. Determine my present age
Answer:
the 34 yrs Is wrong it will be 4yrs only.
Step-by-step explanation:
Let my present age=x years
After 12 years my age=x+12 years
4 years ago my age =x−4 years
According to the question,
x+12=3(x−4)
⇒x+12=3x−12
⇒3x−x=12+12
⇒2x=24
or x= 24/2 =12 years.
∴ my present age is 12 years.
hope this helps you.
Evaluate 3x – 6 + 5x - 1 when x =-3
Answer:
-31
Step-by-step explanation:
1. To evaluate this expression when x = -3, we just have to plug in the x-value and simplify.
[tex]3x - 6 + 5x - 1[/tex] [tex]3(-3)-6+5(-3)-1[/tex] [tex]-9 - 6 - 15 - 1[/tex] [tex]-15 - 15 - 1[/tex] [tex]-30 - 1[/tex] [tex]-31[/tex]Therefore, the answer is -31.
given that x is an acute angle and cos x equals to 2 root 5/5 find without using mathematical tables or a calculator tan (90 - x)
Answer:
whats cos? i dont understand if its written in question please explain
Step-by-step explanation:
what does n equal in 4n − 2n = 4
Answer:
Step-by-step explanation:
4 = 2
Simplify each radical
1-4
-2 as a decimal
Help if you can ik it’s simple I’m just very tired :)
Please I have no clue
Question 1 A physician's “patient panel” is the list of all patients under their care. In the
US, the size of patient panels among primary care doctors is well modeled by a N(1500, 200)
distribution.
(a) If a "medium-sized” panel has anywhere from 1250 to 1750 patients, what proportion
of US primary care doctors have a patient panel that is NOT "medium-sized”?
(b) Find Q1,Q3 and the IQR of the patient panels of US primary care doctors.
Using the normal distribution, we have that:
a) The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
b)
Q1 = 1365.
Q2 = 1635.
IQR = 270.
In a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X.For this problem, N(1500, 200) means that [tex]\mu = 1500, \sigma = 200[/tex].
Item a:
The proportion that are medium-sized is the p-value of Z when X = 1750 subtracted by the p-value of Z when X = 1250, thus:
X = 1750:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1750 - 1500}{200}[/tex]
[tex]Z = 1.25[/tex]
[tex]Z = 1.25[/tex] has a p-value of 0.8944.
X = 1250:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1250 - 1500}{200}[/tex]
[tex]Z = -1.25[/tex]
[tex]Z = -1.25[/tex] has a p-value of 0.1056.
0.8944 - 0.1056 = 0.7888 are medium.
1 - 0.7888 = 0.2112.
The proportion of US primary care doctors have a patient panel that is NOT "medium-sized” is 0.2112.
Item b:
Q1 is the first quartile, which is the 25th percentile, given by X when Z has a p-value of 0.25, so X when Z = -0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]-0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = -0.675(200)[/tex]
[tex]X = 1365[/tex]
Thus, Q1 = 1365.
Q3 is the third quartile, which is the 75th percentile, given by X when Z has a p-value of 0.75, so X when Z = 0.675. Then:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]0.675 = \frac{X - 1500}{200}[/tex]
[tex]X - 1500 = 0.675(200)[/tex]
[tex]X = 1635[/tex]
Thus, Q3 = 1635.
The IQR is the difference between Q3 and Q1, that is:
[tex]IQR = Q3 - Q1 = 1635 - 1365 = 270[/tex]
Then, IQR = 270.
A similar problem is given at https://brainly.com/question/15953015
what value of a makes the following equation true
Answer:
It's -30
Step-by-step explanation:
Combine like terms
− 8 = 2 1 0
−7 = 2 1 0
Divide both sides of the equation by the same term
− 7 = 2 1 0
-7a/-7 = 210/-7
You cancel the -7 on the left side and divide 210 by -7
and then 210/-7 is -30
Hope this helps mark me brainliest!
Use place value and properties of operations to find the sum.
5.8
+2.3
= _
Type a whole number or a decimal
Answer:
8.1
Step-by-step explanation:
Round 1,597 to the nearest hundred
Answer:
1600
Step-by-step explanation:
[tex]\sqrt50 + \sqrt18\\[/tex]
Answer:
8\sqrt2=\sqrt128
Step-by-step explanation:
[tex] \sqrt{50} = 5 \sqrt{2} \\ \sqrt{18} = 3 \sqrt{2} [/tex]
If 3 computer disks and 5 notebooks cost $7.50 and 4 computer disks and 2 notebooks cost $6.50, how much does 1 computer disk cost?
Group of answer choices
Please let me know if this is true or false
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Yes, The given statement is True
Find the product of 21 and
3/7
Answer:
The answer is 9
Step-by-step explanation:
[tex]21*\frac{3}{7} \\ \frac{21}{1}*\frac{3}{7} = \frac{63}{7} = 9 \\[/tex]
Write the equation of the line that passes through the points (7, 2) and (4, -9). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
if you were to use the first ordered pair, your answer would be y - 2 = 11/3(x-7) and with the second ordered pair : y + 9 = 11/3(x-4
A car travels at an average speed of 45 mph for 40 minutes.
The next part of the car's journey takes 25 minutes at an average speed of 60 mph.
Show that the average speed of the entire journey is just over 50 mph.
9514 1404 393
Answer:
the average speed is 50 10/13 mph
Step-by-step explanation:
The relationship between time, speed, and distance is ...
distance = speed × time
The distance traveled in the first part of the car's journey is ...
(45 mi/h)(2/3 h) = 30 mi
The distance traveled in the second part of the car's journey is ...
(60 mi/h)(25/60 h) = 25 mi
Then the total distance is 30 mi +25 mi = 55 mi.
The total time is ...
40 min +25 min = 65 min = 65/60 h = 13/12 h
The average speed for the trip is ...
speed = distance/time = (55 mi)/(13/12 h) = 660/13 mi/h = 50 10/13 mi/h
The average speed of the journey is 50 10/13 mi/h, just over 50 mi/h.
solve pls brainliest
Answer:
Mixed number: [tex]2 \frac{1}{100}[/tex]
Improper fraction: [tex]\frac{201}{100}[/tex]