You have 9 tables with 8 seats with 58children. How many empty seats?
Answers
Answer:
Step-by-step explanation:
Related Questions
2(cos^4 60 +sin^4 30) -(tan^2 60 +cot^2 45) +3*sec^2 30
Answers
The value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)
Let's simplify the expression step by step:
Recall the values of trigonometric functions for common angles:
cos(60°) = 1/2
sin(30°) = 1/2
tan(60°) = √(3)
cot(45°) = 1
sec(30°) = 2
Substitute the values into the expression:
\(2(cos^4 60 + sin^4 30) - (tan^2 60 + cot^2 45) + 3sec^2 30\)
= \(2((1/2)^4 + (1/2)^4) - (\sqrt{(3)^2 + 1^2} ) + 3(2^2)\)
= 2(1/16 + 1/16) - (3 + 1) + 3*4
= 2(1/8) - 4 + 12
= 1/4 - 4 + 12
= -15/4 + 12
= -15/4 + 48/4
= 33/4
Therefore, the value of the expression \(2(cos^4 60 + sin^4 30) -(tan^2 60 + cot^2 45) + 3\times sec^2 30 is 33/4.\)
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Jose makes $13.50 per hour. How much will he make if he works 7 hours?
Answers
Answer:
94.50
Step-by-step explanation:
I used a calculator
Answer:
$94.50
Step-by-step explanation:
Just multiply 13.50 x 7 which gets you $94.50
HELP PLZ
You don’t have to solve all of them just do the ones you know!
Answers
Complimentary angles equal to 90
Adjacent angles are connected by a vertex and side
Vertical angles are opposite of each other on two intersecting lines
A1 is 64° more than A2, so A1 + 64 = A2
Input that into the equation.
A1 + A1 + 64= 180
2A1 = 116
A2 = 58
A1 = 58+64, 122
90 = A1 + A1 +20
70 = 2A
35 = A2
55 = A1
Complimentary angles equal to 90.
A1 is 49, so 90-49= 51.
. A store has a buy-one-get-one-half-off sale on laundry detergent.
The regular price of the laundry detergent is $2.60 per bottle. You
buy two bottles. What is the total cost, in dollars, before taxes?
Answers
The total cost, in dollars, before taxes Addition
When a store has a buy-one-get-one-half-off sale on laundry detergent, then the cost of 2 bottles $3.90.Given that
A store has a buy-one-get-one-half-off sale on laundry detergent.The regular price of the laundry detergent is $2.60 per bottle.we buy two bottles.To find
What is the total cost, in dollars, before taxes?So, according to the question
we have,
The regular price of laundry detergent = $2.60 per bottle.we buy 2 bottles.A store has a buy-one-get-one-half-off sale on laundry detergent, When we buy 1 bottle then we will get half of bottle free and we are buying 2 bottles so we just have to pay the price of one and half bottles only.
So, we can say that
Total cost of 2 bottle laundry detergent = regular price of 1 bottle laundry detergent + regular price of \(\frac{1}{2}\) bottle laundry detergent
= 2.60 + \(\frac{1}{2}\)× 2.60
= 2.60 + 1.30
= $3.90
Answer:
The cost of 2 bottles laundry detergent in that offer is $3.90 .To learn more about Addition, please click on the link:
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Which attribute do both A and D have that B and C do not?
Polygon A is a parallelogram, polygon B is a trapezoid with no right angles, polygon C is a trapezoid with two right angles, and polygon D is a square.
A.
4 sides
B.
at least 1 right angle
C.
2 pairs of parallel sides
D.
at least 1 pair of parallel sides
Answers
Both A and D have 2 pairs of parallel sides
Quadrilateral
A quadrilateral is a polygon with four sides and four angles. A parallelogram is a quadrilateral with two pairs of parallel sides.
A trapezoid is a quadrilateral with one pair of parallel side. A square is a quadrilateral with two pairs of parallel sides and all sides have the same measure.
Both A and D have 2 pairs of parallel sides
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Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours how far did Simon drive in all
Answers
Answer:
415 miles
Step-by-step explanation:
Start with the speed equation:
speed = distance/time
Now solve the speed equation for distance:
distance = speed × time
Apply the speed equation solved for distance to the two parts of the trip.
4 hours at 55 mph:
distance = 55 mph × 4 hours = 220 miles
3 hours at 65 mph:
distance = 65 mph × 3 hours = 195 miles
Add the two distances to find the total distance:
total distance = 220 miles + 195 miles = 415 miles
Answer: 415 miles
Answer:
415 miles
Step-by-step explanation:
Simon drove 55 miles per hour for 4 hours then 65 miles per hour for 3 hours.
How far did he drive?
d=rt
For the first part of the trip:
d = 55 * 4 = 220 miles
For the second part of the trip:
d = 65*3 =195 miles
Add the miles together
220+195 = 415 miles
Right the slope intercept form of the line that passes through (1,-2) and is parallel to the line y=4x+2
Answers
explanation: parallel lines have the same slope, which the slope here is 4. if you plug in the x value of 1 in 4(1)-6, then you get -2 which is the desired y-value.
Please helpppppppppppppppppppppppppppppppppppppppppppppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
60
Step-by-step explanation:
a tringle always adds ups to 180 add them then subtract.
Solve Systems of Equations from Context Graphically
Answers
Tayor has wrapped 12 gifts and did a gift bag of 8 gifts in total 48 minutes.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Let wrapping be denoted by 'x' and gift bag be denoted by 'y'.
Taylor prepared a total of 20 gifts which is,
x + y = 20...(i).
Taylor can wrap a gift in 3 minutes and ad can do a gift bag in 1.5 minutes which is,
3x + 1.5y = 48...(iii).
Now the solution of this system is the intersection point of these two equations (i) and (ii).
The ordered pair (12, 8) is the solution (x, y) for the given situation.
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I need HELPPPPPOP PLS HELLLLPPPPPP NOOOOOWWWWWW
tysm!!
Answers
Step-by-step explanation:
3÷5%=3÷5÷100
3÷5×1÷ 100
3÷5=3÷500
therefore 3÷5%=3÷500
Matthew invested $8,000 in an account paying an interest rate of 3 1/8% compounded
continuously. Parker invested $8,000 in an account paying an interest rate of 2 3/4%
compounded annually. To the nearest dollar, how much money would Parker have in
his account when Matthew's money has tripled in value?
Answers
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
We have,
For Matthew's investment, the continuous compounding formula can be used:
\(A = P \times e^{rt}\)
Where:
A = Final amount
P = Principal amount (initial investment)
e = Euler's number (approximately 2.71828)
r = Annual interest rate (in decimal form)
t = Time (in years)
In this case,
Matthew's money has tripled,
So A = 3P.
For Parker's investment, the formula for compound interest compounded annually is used:
\(A = P \times (1 + r)^t\)
Where:
A = Final amount
P = Principal amount (initial investment)
r = Annual interest rate (in decimal form)
t = Time (in years)
We need to find t when Matthew's money has tripled in value.
Let's set up the equation:
\(3P = P \times e^{rt}\)
Dividing both sides by P, we get:
\(3 = e^{rt}\)
Taking the natural logarithm of both sides:
ln(3) = rt
Now we can solve for t
t = ln(3) / r
For Matthew's investment,
r = 3 1/8% = 3.125% = 0.03125 (as a decimal).
For Parker's investment,
r = 2 3/4% = 2.75% = 0.0275 (as a decimal).
Now we can calculate t for Matthew's investment:
t = ln(3) / 0.03125
Using a calculator, we find t ≈ 22.313 years.
Now, we can calculate how much money Parker would have in his account at that time:
\(A = P \times (1 + r)^t\)
\(A = $8,000 \times (1 + 0.0275)^{22.313}\)
Using a calculator, we find A ≈ $13,774.
Therefore,
Parker would have approximately $13,774 in his account when Matthew's money has tripled in value.
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Answer:
20,763
Step-by-step explanation:
I saw the answer after I got it wrong
Which linear function has the same y-intercept as the one that is represented by the graph?
On a coordinate plane, a line goes through points (3, 4) and (5, 0).
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 3, negative 1, 1, 3. Column 2 is labeled y with entries negative 4, 2, 8, 14.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 4, negative 2, 2, 4. Column 2 is labeled y with entries negative 26, negative 18, negative 2, 6.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 5, negative 3, 3, 5. Column 2 is labeled y with entries negative 15, negative 11, 1, 5.
A 2-column table with 4 rows. Column 1 is labeled x with entries negative 6, negative 4, 4, 6. Column 2 is lab
eled y with entries negative 26, negative 14, 34, 46.
Answers
The linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
To determine the linear function with the same y-intercept as the graph, we need to find the equation of the line passing through the points (3, 4) and (5, 0).
First, let's find the slope of the line using the formula:
slope (m) = (change in y) / (change in x)
m = (0 - 4) / (5 - 3)
m = -4 / 2
m = -2
Now that we have the slope, we can use the point-slope form of a linear equation to find the equation of the line:
y - y1 = m(x - x1)
Using the point (3, 4) as our reference point, we have:
y - 4 = -2(x - 3)
Expanding the equation:
y - 4 = -2x + 6
Simplifying:
y = -2x + 10
Now, let's check the given options to find the linear function with the same y-intercept:
Option 1: The table with x-values (-3, -1, 1, 3) and y-values (-4, 2, 8, 14)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 2: The table with x-values (-4, -2, 2, 4) and y-values (-26, -18, -2, 6)
The y-intercept is not the same as the given line. So, this option is not correct.
Option 3: The table with x-values (-5, -3, 3, 5) and y-values (-15, -11, 1, 5)
The y-intercept is the same as the given line (10). So, this option is correct.
Option 4: The table with x-values (-6, -4, 4, 6) and y-values (-26, -14, 34, 46)
The y-intercept is not the same as the given line. So, this option is not correct.
Therefore, the linear function that has the same y-intercept as the given graph is the equation y = -2x + 10, corresponding to option 3.
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What is the cost of a 4 mile taxi ride if the charges Is $2.50 to start plus $2.80 per mile
Answers
Answer:
$13.70
Step-by-step explanation:
y=2.80x+2.50
=2.8*4+2.5
=13.7
Answer: $13.70
Step-by-step explanation: The first thing you would do is mulitply 2.80 time four. Then you would add 2.50 to the product to get 13.7.
Find the midpoint between (12,5) and (2,5)
Answers
\((7,5)\)
Step-by-step explanation:
Let (12,5) = (x1,y1) and (2,5) = (x2,y2)
By using Midpoint formula,
\( (\frac{x1 + x2}{2} ) \: \: (\frac{y1 +y2 }{2}) \)
\(( \frac{12 + 2}{2}) \: \: \: (\frac{5 + 5}{2} )\)
\(( \frac{14}{2} ) \: \: ( \frac{10}{2} )\)
\( = (7,5)\)
The midpoint between (12,5) and (2,5) is (7, 5)
Mid point formulamid point = (x₁ + x₂ / 2 , y₁ + y₂ / 2)
Therefore,
(12, 5)(2, 5)
x₁ = 12
x₂ = 2
y₁ = 5
y₂ = 5
Therefore,
mid point = (12 + 2 / 2, 5 + 5 / 2)
mid point = (14 / 2, 10 / 2)
mid point = (7, 5)
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Dee’s Catering Budget vs. Actual Comparison for December 2010
a. What is the variance (dollar and percent) in Dee’s total cost of sales for the month of December? Answer: $32,051 and 12.8%
b. To what do you attribute the variance in Dee’s total cost of sales for December?
c. What is the variance (dollar and percent) in Dee’s salaries and wages for the month of December? Answer: $6,100 and 15.7%
d. To what do you attribute the variance in Dee’s salaries and wages for December?
e. What is the variance (dollar and percent) in Dee’s marketing expenses for the month of December? Answer: $-1.050 and -87.5%
f. What advice would you give Dee regarding her marketing expense variance?
I need help with answering these questions. Letter B, D, and F.
Answers
Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
We have ,
Net income considered a vital financial metric of an organization, delineates the earned sum after deducting expenses and taxes from total revenue.
The measure is indicative of the profitability status of an entity, portraying cash flow left over subsequent to settling all obligations. To uncover net income, business expenditures spanning across areas such as salaries, interest payments and rents alongside taxations are subtracted from entire receipts.
Ascertaining net income facilitates assessing the fiscal robustness and future prospects of a company for interested investors.
Hence, Walton's actual check average is $9.52
The actual food cost is lower than the flexible budget by $5020
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complete question:
A. What was Watson’s actual check average? Was this higher or lower than the original budget and flexible budget check average?
b. Were Watson’s actual food sales higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
c. Was Watson’s actual food cost higher or lower than the original budget? Why do you think this is so?
d. Was Watson’s actual food cost higher or lower than the flexible budget? By how much? Was this favorable or unfavorable? How can Watson use this information in his report to his general manager?
e. Were Watson’s variable salaries, wages, and benefits higher or lower than the original budget?
f. Were Watson’s variable salaries, wages, and benefits higher or lower than the flexible budget? By looking at both the original budget and the flexible budget, what conclusion can you draw about Watson’s ability to control his labor costs?
g. Was Watson’s actual net income higher or lower than the flexible budget? By how much? Was this favorable or unfavorable?
h. Overall, how do you think Watson is doing at meeting the budget goals set by the general manager? How should he respond to his general manager’s claim that his department is operating at a “sub-par” performance level?
You will be brainliest
Michael solved the system of linear equations and provided the solution. 3x – 3y = 6 4x – 7y = 2 Step 1 4(3x – 3y = 6) –3(4x – 7y = 2) Step 2 12x – 12y = 24 –12x + 21y = –6 Step 3 9y = 18 Step 4 y equals 1 over 2 In which step did Michael show his first error? Step 2 Step 3 Step 4 No errors are present in the solution
Answers
Michael is required to solve the systems of equation
He made his first error in step 1
Michael's calculation:
3x – 3y = 6
4x – 7y = 2
Step 1: 4(3x – 3y = 6) –3(4x – 7y = 2)
Step 2: 12x – 12y = 24 –12x + 21y = –6
Step 3: 9y = 18
Step 4: y equals 1 over 2
Correct calculation:
3x – 3y = 6 (1)
4x – 7y = 2 (2)
make x the subject in ....(1)
3x - 3y = 6
3x = 6 + 3y
x = 6 + 3y/ 3
x = 2 + y
substitute x = 2 + y into (2)
4x – 7y = 2 (2)
4(2 + y) - 7y = 2
8 + 4y - 7y = 2
8 - 3y = 2
8 + 2 = -3y
10 = -3y
y = 10/-3
y = -3 1/3
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Answer:
The correct answer is that there is an error in STEP 2
Step-by-step explanation:
I took the test and I got this question correct!
Brandy makes $102 for a eight hour shift at a weekend job how much will he get paid for 30 hours
Answers
Answer:
Brandy would be payed $450 for 30 hours
Step-by-step explanation:
102÷8= 15
15×8= 102
15 dollars is what he makes hourly
30 hours× 15= 450
Suppose A and B are mutually exclusive events, and that P(B)=0.24 and P(A OR B)=0.27. Find P(A).
Answers
Step-by-step explanation:
(4 - x)(x - 4) = 16 - x2 help me please sir please help me please sir fasthelp me please sir please help mehelp me please sir please help mehelp me please sir please help mehelp me please sir please help me
Answer:
Step-by-step explanation:
this equals 0.03
factoriser
A=(2x-3)(2x-3)-(x-2)(x-2)
Answers
= (2x-3)^2 - (x-2)^2 <— Difference of Squares
= [(2x-3)+(x-2)]•[(2x-3)-(x-2)]
= (3x-5)(x-5)
= 3x^2-15x-5x+25
= 3x^2-20x+25
In a two-digit number, the units digit is 5 more that the tenth digit. The number itself is three times the sum of its digits. What is this number?
Answers
Answer:
15
Step-by-step explanation:
1+5=6
6*3=15
Answer:
27
Step-by-step explanation:
Find the value of n. 0.09 × n = 0.054
HELP PLEASEEEEEEEEEEEEEEEEEEE
Answers
Answer:
n=0.6
Step-by-step explanation:
We want to get n alone so we can divide each side by 0.09.
So then n= 0.054/0.09.
n=0.6
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
15 students share 7 pizzas equally. How much pizza does each student get?
Answers
Dividing 7 pizzas equally among 15 students results in each student getting about 0.47 pizzas.
Let x be the amount of pizza that each student gets. We want to solve for x.
If 15 students share 7 pizzas equally, then the total amount of pizza that they share is 7 pizzas. We can set up the following equation:
7 pizzas = 15 students * x pizzas per student
We know that the 7 pizzas are divided equally among the 15 students, so each student gets x pizzas. We can rearrange the equation to solve for x:
x pizzas per student = 7 pizzas / 15 students
Simplifying this expression, we get:
x = 7/15
Rounding this value to the nearest hundredth, we get:
x ≈ 0.47 pizzas per student
Therefore, each student will get about 0.47 pizzas.
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The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60cm.
How many kitchen cupboard will fit in 4.2 metres?
Enter the number only
Answers
Given:
The width of a kitchen is 4.2 metres.
Kitchen cupboard widths are 60 cm.
To find:
The number of kitchen cupboard that will fit in 4.2 metres.
Solution:
Let x be the number of kitchen cupboard that will fit in 4.2 metres.
Width of 1 cupboard = 60 cm
Width of x cupboards = 60x cm
We know that, 1 m = 100 cm.
Width of a kitchen = 4.2 metres
= 4.2×100 cm
= 420 cm
Now, the width of the x cupboards is equal to width of the kitchen.
\(60x=420\)
\(x=\dfrac{420}{60}\)
\(x=7\)
Therefore, the number of kitchen cupboard that will fit in 4.2 metres is 7.
Kerry went for a run on Monday and Tuesday. On Monday, Kerry ran 4.7 kilometers. On Tuesday, Kerry ran 3.9 kilometers. How many total meters did Kerry run over the two days?
meters
Answers
Answer:
he ran 8600 meters
Step-by-step explanation:
4.7+3.9=8.6
1 kilometer=1000 meters
8.6×1000=8600
(y3)2 · y7 find the product
Answers
Answer:
2y^(10)
Step-by-step explanation:
Answer:
y^13
Step-by-step explanation:
What are the domain and range of the function f\left(x\right)=x^{4}-2x^{2}-4? domain: all real numbers range: all real numbers greater than or equal to –5 domain: all real numbers range: all real numbers greater than or equal to –4 domain: all real numbers between –2.5 and 2.5 range: all real numbers domain: all real numbers between –2.5 and 2.5 range: all real numbers greater than or equal to –5
Answers
Answer: domain: all real numbers; range: all real numbers greater than or equal to –4
Step-by-step explanation: The function f(x) = x^4 - 2x^2 - 4 is a polynomial function, which means its domain is all real numbers. To find the range of the function, we can complete the square for the quadratic term x^4 - 2x^2 to get f(x) = (x^2 - 1)^2 - 5. The minimum value of (x^2 - 1)^2 is 0, which occurs when x^2 = 1 or x = ±1. Therefore, the minimum value of f(x) is f(±1) = (±1)^4 - 2(±1)^2 - 4 = -5 + 1 = -4. Hence, the range of f(x) is all real numbers greater than or equal to -4.
The circumference of a circle is 15pi centimeters what is the area of the circle in terms of pi?
Answers
\(\textit{circumference of a circle}\\\\ C=2\pi r ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=15\pi \end{cases}\implies 15\pi =2\pi r\implies \cfrac{15\pi }{2\pi }=r\implies \cfrac{15}{2}=r \\\\[-0.35em] ~\dotfill\\\\ \textit{area of a circle}\\\\ A=\pi r^2 \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=\frac{15}{2} \end{cases}\implies A=\pi \left( \cfrac{15}{2} \right)^2\implies A=\cfrac{225\pi }{4}\implies A=56.25\pi\)
Together, 6 children run a 5 miles relay race. They each run the same distance.
Answers
Explanation
Step 1
we need to find the rate ( the number of miles per child)
the rate would be
\(\begin{gathered} \text{rate}=\frac{\text{ number of miles}}{\text{ Number of}\chi ldren} \\ \text{rate}=\frac{5\text{ miles}}{6\text{ chle}} \\ \text{rate}=\frac{5}{6}\text{ miles per Child } \end{gathered}\)therefore
\(\begin{gathered} \frac{5}{6}\rightarrow\frac{1}{6}\cdot5 \\ \frac{5}{6}\rightarrow5\text{ divide by 6} \\ \frac{5}{6}\rightarrow\frac{5}{6} \end{gathered}\)so, the answers are
\(A,\text{ B and C}\)I hope this helps you
Answer:
A C D
Step-by-step explanation:
Relay races are 1 person at a time so if they run equally they will run 1/6 the race and since it’s 5 miles we multiply by 5 to show the percentage of how many miles each person run which was 5/6
QRS = _____
By _____
Answers
Answer:
the one you have circled is correct
Step-by-step explanation:
Answer:
The fourth answer selection is the correct
Step-by-step explanation:
Yes, the two triangles have to sides and the angle in between congruent, so by the SAS theorem, they are congruent.
Therefore select the fourth option that gives the order of vertices of the second triangle similar to the order of vertices in the first one :
Triangle YXW by SAS.
Notice that side YX is congruent to side QR,
and side RS is congruent to side SW.
Both numbers have three significant figures. How many significant figures should be recorded for the answer to the division problem below?
\(43.6 \div 21.2\)
= [?] significant figures
Answers
Answer:
8 significant figures should be provided.
Step-by-step explanation:
I believe I am correct, but check your answer anyways.