Answer:
10=.50n+1.50
Step-by-step explanation:
The total cost, c, of n chicken wings can be represented by a system of equations as follows c = 0.50n + 1.50
c = total cost
n = number of chicken wings
Therefore,
The cost of chicken wing at restaurant Z is $0.50 per wings plus a one time $1.50 charge for sauce.
The system of equation that represent the system is as follows:
c = 0.50n + 1.50
The one time fee for sauce is just like a constant in the equation.
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Need help ASAP please
Answer:
-6,6
Step-by-step explanation:
x^2=36
6*6=36
-6*-6=36
The table shows the ages of players on a football team.
Age
Frequency
a) Work out the mean age of the team.
Round your answer to 1 decimal place.
19
2.
20
3
21
1
b) A new player joins the team and raises
the mean age to 22.
22
4
23
1
Work out the age of this new player.
Answer: A) 20.9 ; B) 34years
Step-by-step explanation:
Given the following :
AGE (X) - - - - - - - 19 - -20 - - - 21 - - - 22 - - - 23
FREQUENCY (F) - 2 - - 3 - - - - 1 - - - - 4 - - - - 1
A)
MEAN(X) = [AGE(X) × FREQUENCY (F)] ÷ SUM OF FREQUENCY
F*X = [(19 * 2) + (20 * 3) + ( 21 * 1)+(22 * 4)+(23 * 1)]
= 38 + 60 +21 + 88 + 23 = 230
SUM OF FREQUENCY = 2 + 3 + 1 + 4 + 1= 11
MEAN(X) = 230 / 11
X = 20.9
B)
WHEN A NEW PLAYER WAS ADDED :
MEAN (X) = 22
Let age of new player = y
Sum of Ages = 19 + 19 +20 + 20 + 20 + 21 + 22 + 22 + 22 + 22 + 23 + y
Number of players = 11 + 1 = 12
Mean(x) = sum of ages / number of players
New mean (x) = 22
x = (230 + y) / 12
22 = (230 + y) / 12
Cross multiply
264 = 230 + y
y = 264 - 230
y = 34 years
The missing term in the following polynomial has a degree of 5 and a coefficient of 16. Which statement best describes the polynomial? It is not in standard form because the degree of the first term is not greater than six. It is not in standard form because the degree of the first term should be equal to zero. It is in standard form because the exponents are in order from highest to lowest. It is in standard form because the coefficients are in order from highest to lowest.
Answer:
A.) It is not in standard form because the degree of the first term is not greater than six.
Step-by-step explanation:
Here are Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151,
149
What is the variance rounded to the nearest tenth?
Answer:
The variance rounded to the nearest tenth is 691.8
Step-by-step explanation:
Xavier's bowling scores:
135, 140, 130, 190, 112, 200, 185, 172, 163, 151, 149
No. of observations n = 11
[tex]Mean = \frac{\text{Sum of all observations}}{\text{No. of observations}}\\Mean = \frac{135+140+130+190+112+200+185+172+ 163+ 151+149}{11}\\Mean =157[/tex]
Formula of variance : [tex]\sigma^2=\frac{\sum(x_i-\bar{x})^2}{n}[/tex]
[tex]\sigma^2=\frac{(135-157)^2+(140-157)^2+(130-157)^2+(190-157)^2+(112-157)^2+(200-157)^2+(185-157)^2+(172-157)^2+(163-157)^2+(151-157)^2+(149-157)^2}{11}[/tex]
[tex]\sigma^2=\frac{7610}{11}[/tex]
[tex]\sigma^2=691.81[/tex]
Hence the variance rounded to the nearest tenth is 691.8
At the beach, 20% of people have white towels and 58% have blue towels. If
the rest have red, what percentage of the people at the beach have red
towels?
Answer: 22%
Step-by-step explanation: First, you have to add the percetages of the white and blue towels.
20+58=78
Now, you can simply subtract 78% from 100% to get your answer, 22%
Janet and Nadia each play basketball. Nadia has won twice the number of games Janet has. Is it possible for Janet to have won 10 games if the sum of the games Nadia and Janet have won together is 24?
Yes; Janet could have won 10 games because 3x = 24.
Yes; Janet could have won 10 games because 2(10) is less than 24.
No; Janet could not have won 10 games because 2x ≠ 24.
No; Janet could not have won 10 games because 3x ≠ 24.
Answer:
no, janet could not have won 10 games because 3x is not equal to 24
Step-by-step explanation:
if janet won twice as many as nadia that means nadia times 2
so it would be 20 to add both nadia and janet it would be over 24 therefore the answer is d
hope this helps
Answer: No; Janet could not have won 10 games because 3x ≠ 24
Step-by-step explanation:
Janet and Nadia won 30 games together. 10x2(10)=30
! !
—
Line A passes through the points (-8, 5) and (-5, 4). Line B passes through the points (0, 1) and (4, -1). Which of the following describes the relationship between line A an line B?
.
Lines A and B are parallel, because they have the same slope
.
Lines A and B are parallel, because they have opposite reciprocal slopes.
.
Lines A and B are perpendicular, because they have opposite reciprocal slopes.
.
Lines A and B intersect, because their slopes have no relationship.
Answer:
Last option is the correct choice.
Step-by-step explanation:
Slope of line A = [tex]m=\frac{4-5}{-5-\left(-8\right)}=-\frac{1}{3}[/tex]
Slope of line B = [tex]m=\frac{-1-1}{4-0}=-\frac{1}{2}[/tex]
Lines A and B intersect, because their slopes have no relationship.
Best Regards!
Lines A and Line B intersect, because their slopes have no relationship.
What is slope of line?Slope of line is defined as the angle of line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Consider two points on a line—Point 1 and Point 2. Point 1 has coordinates (x₁,y₁) and Point 2 has coordinates (x₂, y₂)
Given,
Line A passes through the points (-8, 5) and (-5, 4)
Let
x₁ = -8, y₁ = 5
x₂ = -5, y₂ = 4
∵ Slope m = (y₂ - y₁)/(x₂ -x₁ )
Substitute values in formula
m₁ = (4 - 5)/(-5 - (-8))
m₁ = (4 - 5)/(-5 + 8)
m₁ = -1/3
So, the slope of the line A is -1/3
Line B passes through the points (0, 1) and (4, -1).
m₂ = (-1 - 1)/(4 - 0)
m₂ = (-2)/(4)
m₂ = -1/2
So, the slope of the line B is -1/2
Hence, Lines A and Line B intersect, because their slopes have no relationship.
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Which of the following linear equations passes through points (-1,5) and (1,-5)?
Answer:
y = -5x
Step-by-step explanation:
what is the slope of the graph
Answer:
-1/3
Step-by-step explanation:
the slope is always run over rise.
In this case we ran 1 spot to the right from where the line crosses the y axis and then 3 down.
so that gives us 1/3 but since the line is negative, the slope is also negative
ASAp !!!!!!!!!!! Brenton’s weekly pay, P(h) , in dollars, is a function of the number of hours he works, h. He gets paid $20 per hour for the first 40 hours he works in a week. For any hours above that, he is paid overtime at $30 per hour. He is not permitted to work more than 60 hours in a week. Which set describes the domain of P(h)? {h| 0 ≤ h ≤ 40} {h| 0 ≤ h ≤ 60} {P(h)| 0 ≤ P(h) ≤ 1,400} {P(h)| 0 ≤ P(h) ≤ 1,800
The set the describes the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
How to determine the domain?In this case, the domain represents the set of hours he is permitted to work
From the question, we understand that he cannot work more than 60 hours
This means that, the least number of hours to work is 0, and the highest is 60
So, the domain is 0 to 60
When represented properly, the domain of P(h) is (b) {h| 0 ≤ h ≤ 60}
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A small plane and a large plane are 6.8km from each other, at the same altitude (height). From an observation tower, the two airplanes are separated by an angle of 58°. The large plane is 5.2km from the observation tower. a. Draw a diagram to represent this situation. b. How far is the small plane from the observation tower, to the nearest tenth of a kilometer?
Answer:
7.9km
Step-by-step explanation:
(a)See attached for the diagram representing this situation.
(b)
In Triangle ABC
[tex]\text{Using Law of Sines}\\\dfrac{\sin A}{a}=\dfrac{\sin C}{c} \\\dfrac{\sin A}{5.2}=\dfrac{\sin 58^\circ}{6.8} \\\sin A=5.2 \times \dfrac{\sin 58^\circ}{6.8}\\A=\arcsin (5.2 \times \dfrac{\sin 58^\circ}{6.8})\\A=40.43^\circ[/tex]
Next, we determine the value of Angle B.
[tex]\angle A+\angle B+\angle C=180^\circ\\40.43+58+\angle B=180^\circ\\\angle B=180^\circ-(40.43+58)\\\angle B=81.57^\circ[/tex]
Finally, we find b.
[tex]\text{Using Law of SInes}\\\dfrac{b}{\sin B}=\dfrac{c}{\sin C} \\\dfrac{b}{\sin 81.57^\circ}=\dfrac{6.8}{\sin 58^\circ} \\b=\dfrac{6.8}{\sin 58^\circ} \times \sin 81.57^\circ\\b=7.9km $ (to the nearest tenth of a kilometer)[/tex]
The distance between the small plane and the observation tower is 7.9km.
0.45?
How much do this equal
Answer:
.45
$0.45
45%
45/100
Step-by-step explanation:
20 points!!!! match the justification to each statement in the solution of x + 12.7 =-25.2.
Answer: x + 12.7 = -25.2 ✓given
x + 12.7 -12.7 = -25..2 -12.7 ✓ Subtraction property of equality
x + 0 = -37.9 ✓ Additive inverse and simplification
x = -37.9 ✓ Identity property
Step-by-step explanation: Put the steps in order. Then it makes some sense. Why is the step "legit"?
What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 EndFraction
Answer:
4x + 6
Step-by-step explanation:
Given
[tex]\frac{x}{x^2+3x+2}[/tex] + [tex]\frac{3}{x+1}[/tex]
Before we can add the fractions we require them to have a common denominator.
Factor the denominator of the first fraction
[tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3}{x+1}[/tex]
Multiply the numerator / denominator of the second fraction by (x + 2)
= [tex]\frac{x}{(x+1)(x+2)}[/tex] + [tex]\frac{3(x+2)}{(x+1)(x+2)}[/tex] ← fractions now have a common denominator
Add the numerators leaving the denominators
= [tex]\frac{x+3(x+2)}{(x+1)(x+2)}[/tex]
= [tex]\frac{x+3x+6}{(x+1)(x+2)}[/tex]
= [tex]\frac{4x+6}{(x+1)(x+2)}[/tex] ← simplified sum with numerator 4x + 6
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
Which statement is true about the data?
-The mean of Box A is greater than the mean of Box B.
-The mean of Box B is greater than the mean of Box A.
-The median of Box A is greater than the median of Box B.
-The median of Box B is greater than the median of Box A.
Answer:
D: The median of Box B is greater than the median of Box A.
Step-by-step explanation:
edg2020
The median of Box B is greater than the median of Box A. Then the correct option is D.
What is Mean?The mean is the straightforward meaning of the normal of a lot of numbers. In measurements, one of the markers of focal propensity is the mean.
The mean is given as the ratio of the sum of the observation and the number of the observation.
The table shows the number of pages in the books in Box A and the number of pages in the books in Box B.
The mean of Box A will be
⇒ (32 + 32 + 28 + 28 + 28 + 28 + 25 + 25 + 35 + 32) / 10
⇒ 29.3
The mean of Box B will be
⇒ (48 + 20 + 32 + 20 + 32 + 32 + 40 + 20 + 21 + 28) / 10
⇒ 29.3
The median of Box A will be
⇒ 25
The median of Box B will be
⇒ 30
The median of Box B is greater than the median of Box A.
Then the correct option is D.
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What is the greastest number of acute angles that a triangle can contain?
Answer:
3 acute angles.
Step-by-step explanation:
Triangles have three angles. If any one angle is obtuse or right-angle, then the remaining two angles must be acute. Or else, all the 3 angles can be acute.
An example can be an equilateral triangle because it has 3 acute angles. Each angle is 60 degrees.
Match the measureable quantity given by its formula with the appropriate unit(s).
speed = distance/time
square meters
area = (length)(width)
meters per second
volume = (length) (width)(height)
UUOO
meters
perimeter = 2 (length) + 2 (width)
cubic centimeters
Intro
rity
Done
Answer: i hope this helps (answer is down below)
Step-by-step explanation:
Area goes to square meters
speed goes to meters per second
volume goes to cubic centimetres
perimeter goes to meters
does anyone know how to solve
this problem? any help would be amazing please!!
Answer:
x = 60 and y = 100
Step-by-step explanation:
As shown in the table, you have: x + y = 160
Otherwise, you have x:y = 3:5 or x = 3y/5
=> 3y/5 + y = 160
or 8y/5 = 160
or y/5 = 20
or y = 20*5 = 100
=> x = 160 - y = 160 - 100 = 60
=> x = 60 and y = 100
HELP PLSSSS,I DON'T GET IT
Answer:
Step-by-step explanation:
I THINK IT C
Homework help, no need to explain answer
Answer:
Square each side
Subtract 1 from each side
Divide by 3
Step-by-step explanation:
sqrt(3x+1) = 4
Square each side
(sqrt(3x+1))^2 = 4^2
3x+1 = 16
Subtract 1 from each side
3x+1-1 = 16-1
3x= 15
Divide by 3
3x/3 = 15/3
x = 5
Peggy has four times as many quarters as nickels she had $2.10 in all how many nickels and how many quarters did she have
Answer:
There are 8 quarters and 2 nickels
Step-by-step explanation:
4 quarters for every 1 nickel
This means that for every 1 dollar, there are 5 cents
Double the statement above
1.05 x 2 = 2.10
There are 8 quarters and 2 nickels
if tom spins the spinner 80 times work out an estimate for the number of times the spinner will land on 3 please help me
Answer:
The estimated number of times the spinner will land on 3 is 20.
Step-by-step explanation:
The complete question is:
A four-sided spinner is provided. If Tom spins the spinner 80 times then work out an estimate for the number of times the spinner will land on 3.
Solution:
Assume that the four-sided spinner is unbiased.
That is all the four outcomes are equally likely to be selected.
The probability that the spinner lands on any of the four numbers is:
P(1) = P (2) = P (3) = P (4) = 0.25
It is provided that Tom spins the spinner n = 80 times.
The spinner can land on any of the four numbers independently.
The random variable X, defined as the number of times the spinner lands on 3, follows a Binomial distribution with parameters n = 80 and p = 0.25.
The expected value of X is:
[tex]E(X)=np[/tex]
[tex]=80\times 0.25\\=20[/tex]
Thus, the estimated number of times the spinner will land on 3 is 20.
There are 135 people in a sport centre. 73 people use the gym. 73 people use the swimming pool. 67 people use the track. 36 people use the gym and the pool. 35 people use the pool and the track. 32 people use the gym and the track. 14 people use all three facilities. A person is selected at random. What is the probability that this person doesn't use any facility?
Answer:
P = 11/135 = 0.0815
Step-by-step explanation:
we can said that:
14 people use all three facilities18 people use just gym and track (32 people use the gym and the track less the 14 people that use all three facilities)21 people use just pool and track (35 people use the pool and the track less the 14 people that use all three facilities)22 people use just gym and pool (36 people use the gym and the pool less the 14 people that use all three facilities)14 people use just the track (67 people use the track less the 18 people that use just the gym and the track, the 21 people that use just the pool and the track and 14 people that use all three facilities)16 people use just the pool (73 people use the swimming pool less the the 21 people that use just the pool and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)19 people use just the gym (73 people use the gym less the 18 people that use just the gym and the track, the 22 people that use just the gym and the pool and 14 people that use all three facilities)So, there are 124 people that use the gym, the pool or the track. This is calculated using the information above as:
14 + 18 + 21 + 22 + 14 + 16 + 19 = 124
Finally, there are 11 ( 135 - 124 = 11 ) people that don't use any facility, so the probability that a person doesn't use any facility is:
P = 11/135 = 0.0815
Answer:
0.0815
Step-by-step explanation:
Which of the following is false about investing with borrowed money? (5 points)
2/3y + 15 = 9
What are the steps for this question
Answer:
see below
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 from each side
2/3y + 15-15 = 9-15
2/3y = -6
Multiply each side by 3/2 to isolate y
3/2 * 2/3y = -6 *3/2
y = -9
Answer:
y = - 9
Step-by-step explanation:
2/3y + 15 = 9
Subtract 15 on both sides.
2/3y = 9 - 15
2/3y = - 6
Multiply both sides by 3/2.
y = - 6 × 3/2
y = -18/2
y = -9
PLEASE HELP ASAP WILL GIVE BRAINLIEST IF CORRECT
what is 15x + 21x/2??
Answer:
25.5x
Step-by-step explanation:
Simply convert the fraction into a decimal and add.
21/2x = 10.5x
10.5x + 15x = 25.5x
If you want to keep it in fraction form, 15 is 30/2, so,
30x/2 + 21x/2 = 51x/2
Answer:
51x/2
Step-by-step explanation:
Add it like a normal fraction equation
Have them both with the same denominator of 2
30/2 + 21/2
Add the numerators
51/2
Now put the x into the numerator since it started as in the numerator
Answer: 51x/2
Hope this helps!
answer to this please!
Answer:
-2²
Explanation:
Doing -k² is the same thing as -(k²), so the answer will be negative. However, (-k)² will still be positive. -2² will equal -4.
which is not an equation of the line going through (6 7) and (2 -1)
Answer:
d.
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
just did it
A principal of $2000 is placed in a savings account at 3% per annum compounded annually. How much is in the account after one year, two years and three years?
Answer:
Step-by-step explanation:
After one year
A=p(1+r/n)^nt
=2000(1+0.03/12)^12*1
=2000(1+0.0025)^12
=2000(1.0025)^12
=2000(1.0304)
=$2060.8
After two-years
A=p(1+r/n)^nt
=2060.8(1+0.03/12)^12*2
=2060.8(1+0.0025)^24
=2060.8(1.0025)^24
=2060.8(1.0618)
=$2188.157
After three years
A=p(1+r/n)^nt
=2188.157(1+0.03/12)^12*3
=2188.157(1+0.0025)^36
=2188.157(1.0025)^36
=2188.157(1.0941)
=$2394.063
Amount in account after one year, two and three years are respectively $2,060 , $2,121.8 and $2,185.45
Given:
Principal amount = $2,000
Rate of interest = 3% = 0.03
Amount in account after one year
A = P(1+r)ⁿ
A = 2,000(1+0.03)¹
A = 2,000(1.03)¹
A = 2,000(1.03)
A = $2,060
Amount in account after two year
A = P(1+r)ⁿ
A = 2,000(1+0.03)²
A = 2,000(1.03)²
A = 2,000(1.0609)
A = $2,121.8
Amount in account after three year
A = P(1+r)ⁿ
A = 2,000(1+0.03)³
A = 2,000(1.03)³
A = 2,000(1.092727)
A = $2,185.45
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Brainliest??? Which inequality is represented by this graph.
Answer:
Step-by-step explanation:
D is the answer