Answer:
First, solve for the volume of the tray by the equation V = L x W x H. Convert first all the dimensions to inches. The operation gives an answer of volume equal to 236.22 in³. Converting the amount of paint available to in³. This gives an answer of 231 in³. Hence, the answer is letter B.
Step-by-step explanation:
Please answer, I need help.
Brandon decided to take his family to a water park and celebrate the end of the school year. The cost is $9.50 for parking and $15 for each person for the entire day.
a. Define the variable and write a linear equation for the situation
b. Use the equation to find the cost if Brandon has 5 members in his family
Answer: a) Cost(x) = $9.50 + $15*x
b) $84.50
Step-by-step explanation:
a) If x is the number of members in the family, we can model this situation with a linear equation, where x is the variable.
We have:
A fixed $9.50 (this does not depend on the number of members in the family)
and $15 for each member, so the equation that represents this is:
Cost(x) = $9.50 + $15*x
b) now we have x = 5, then:
Cost(5) = $9.50 + $15*5 = $84.50
Answer:
a. y = 9.50 + 15a
b. total cost(y) = 84.5
Step-by-step explanation:
Brandon decided to take his family to a water park to celebrate the end of the school year.
The cost for parking is $ 9.50 which is a flat rate and compulsory rate for parked cars. The cost for each person is $15 .
a. The linear equation can be expressed below. The variable required in the linear equation will be the number of people that entered the water park(a) and the total cost (y)
let
a = number of person for the entire day
total cost = y
y = 9.50 + 15a
b. To find the cost for a whole family of 5 member can be calculated below.
Using the linear equation
total cost = 9.50 + 15a
total cost = 9.50 + 15(5)
total cost = 9.50 + 75
total cost(y)= 84.5
algebra applications: find the value of x and y
Answer:
x = 10°
y = 35°
Step-by-step explanation:
9x + 20 + 7x = 180 (supplementary angles)
16x = 180 - 20
16x = 160
x = 10°
2y = 7x ( opposite angles)
2y = 70
y = 35°
I need some help on these two questions.
Answer:
see explanation
Step-by-step explanation:
The length of the arcs are calculated as
arc = circumference of circle × fraction of circle
(13)
arc = 2πr ×[tex]\frac{72}{360}[/tex]
= 2π × 25 × [tex]\frac{1}{5}[/tex] = 10π units
(14)
arc = 2π × 2 × [tex]\frac{270}{360}[/tex]
= 4π × [tex]\frac{3}{4}[/tex] = 3π units
y= 3x+7
y = -2x-3
What would be the x and y for that solution
Answer:
So if we are solving for x and y. First we need to subtract both equations. We take each equation and put in parenthesis and subtract.
y-y = (3x+7)-(-2x-3) =
0 = 3x+7+2x+3
0 = 5x+10
-10 = 5x
-2 = x.
Now we need to solve for y.
Plug it in for the first equation. -2*3+7 = -6+7 = 1
Test if we are correct and try in the second equation.
-2*-2-3 = 4-3 = 1
x = -2
y = 1
The shortest route from London to Liverpool is 210 miles. A lorry is expected to take 3.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 3.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer:
72 mph
Step-by-step explanation:
Please give brainliest
You have distance =210 miles
Increase it by 20%
210+(210*0.2) = 252 miles I wrote 0.2 instead of writing 20%/100% hope you understand.
The new route is 252 miles
Time travelled = 3.5 hours
Speed=distance/time
Speed = 252/3.5 = 72 mph
If two angles are complementary to the same angle, then they are congruent to each other.
Answer:
supplementary
Step-by-step explanation:
Answer:
Congruent Complement Theorem
Explanation:
I also had virtualsc, and this was the answer I chose, and it was correct.
Identify the type of pair of angles labeled as 1 and 2 in the figure.
Question 4 options:
A)
Adjacent angles
B)
Linear pair
C)
Complementary angles
D)
Vertical angles
Hey!!
1 and 2 are vertical angles.
Vertically opposite angles are always equal to each other.
Hope it helps..
Answer:
D
Step-by-step explanation:
Joe took $12 to the arcade. Each game cost $.50 to play. This situation can be modeled with the equation y + -.50 x+ 12. This represents the relationship between money Joe has remaining, y, and the number of games he plays, x. Use the function to determine the y-intercept.
State the meaning of the y-intercept in the terms of this problem
Answer: Joe has initial amount of $12 ( when he played no game).
Step-by-step explanation:
Given: Joe took $12 to the arcade. Each game cost $.50 to play.
This situation can be modeled with the equation [tex]y =-0.50 x+ 12.[/tex]
Here,
Money Joe has remaining is repreesnted by 'y', and the number of games he plays is represented by 'x'.
Since y-intercept gives the initial value of the function when x=0.
To find y-intercept , we out x=0 in funtion , we get
[tex]y=-0.50(0)+12=12[/tex]
So , y-intercept of this function is at y=12.
Meaning of the y-intercept in the terms of this problem :
Joe has initial amount of $12 ( when he played no game).
Answer:
y-intercept is 12 and y-intercept shows the fixed cost of arcade, i.e., $12.
Step-by-step explanation:
Note : The given equation is not correct.
It is given that Joe took $12 to the arcade and each game cost $0.50 to play.
This situation can be modeled with the equation
[tex]y=0.50x+12[/tex]
where, y is total cost of playing x games.
We need to find y-intercept.
Substitute x=0 in the above equation to find the y-intercept of the equation.
[tex]y=0.50(0)+12[/tex]
[tex]y=0+12[/tex]
[tex]y=12[/tex]
So, the y-intercept is 12.
Here y-intercept represents the total cost if the number of games is zero.
It means y-intercept shows the fixed cost of arcade, i.e., 12.
According to Bayes' Theorem, the probability of event A, given that event B has occurred, is as follows.
Upper P left parenthesis Upper A vertical line Upper B right parenthesis equals StartFraction Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis Over Upper P left parenthesis Upper A right parenthesis times Upper P left parenthesis Upper B vertical line Upper A right parenthesis plus Upper P left parenthesis Upper A prime right parenthesis times Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis EndFraction
Use Bayes' Theorem to find Upper P left parenthesis Upper A vertical line Upper B right parenthesis using the probabilities shown below.
Upper P left parenthesis Upper A right parenthesis equals one fourth
, Upper P left parenthesis Upper A prime right parenthesis equals three fourths
, Upper P left parenthesis Upper B vertical line Upper A right parenthesis equals one tenth
, and Upper P left parenthesis Upper B vertical line Upper A prime right parenthesis equals one half
Answer:
0.0625
Step-by-step explanation:
Data
P(A) = 1/4P(A') = 3/4P(B|A)= 1/10P(B|A') = 1/2The probability of event A, given that event B has occurred is computed with the following equation:
P(A|B) = [P(A)*P(B|A)]/[P(A)*P(B|A)+P(A')*P(B|A')]
Replacing with data:
P(A|B) = [1/4*1/10]/[1/4*1/10+3/4*1/2] = 0.0625
Answer:5.17%
Step-by-step explanation:
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift. What is the maximum radius of the ball that Jimmy can wrap? Use 3.14 for π.
a. 3.8
b. 4.3
c. 9.2
d. 18.5
Answer:
Radius, r = 3.8 inch
Step-by-step explanation:
A roll of gift-wrapping paper can cover 232.2 sq. in. Jimmy wants to wrap a soccer ball that he is giving as a gift.
We need to find the maximum radius of the ball that Jimmy can wrap. The volume of a spherical shaped object is given by :
[tex]V=\dfrac{4}{3}\pi r^3[/tex]
r = radius of the ball
[tex]r=(\dfrac{3V}{4\pi})^{1/3}\\\\r=(\dfrac{3\times 232.2}{4\times 3.14})^{1/3}\\\\r=3.8\ \text{inch}[/tex]
So, the maximum radius of the ball that Jimmy can wrap is 3.8 inches. Hence, this is the required solution.
The maximum radius of the ball that Jimmy can wrap is 3.8 inches.
Maximum radius of the ball
The maximum radius of the ball is calculated from volume of a sphere.
V = ⁴/₃πr³
where;
r is radius of the spherical ball232.2 = ⁴/₃πr³
3(232.2) = 4πr³
696.6 = 4πr³
r³ = 696.6/4π
r³ = 55.433
r = (55.433)^¹/₃
r = 3.8 in
Thus, the maximum radius of the ball that Jimmy can wrap is 3.8 inches.
Learn more about radius here: https://brainly.com/question/390660
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Which equation represents the line that is parallel to 5x + y = 13 and
passes through the point (15, - 31)?
Answer:
y=-5x+44
Step-by-step explanation:
please help!
Given:
AB = BC
ADB =
a. 30
b. 37.5
c. 60
The measure of the angle is ∠ADB=60
What is the angle sum property of a triangle?The angle sum property of a triangle states that the sum of interior angles of a triangle is 180°
Given here: ∠A =∠B=60
By triangle sum property we must have ∠A +∠B+∠D=180
∠D=60
Thus the triangle must be an equilateral triangle with all its angles equal to 60
Hence, The measure of the angle is ∠ADB=60
Learn more about triangles here:
https://brainly.com/question/29133099
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Find the coordinates of the midpoint of the segment in the picture
above.
O a. (-.5, 3)
o b. (-3.5, -2)
O C. (-4.5, -1)
O d. (-7,-4)
question in attachment
Answer:
[tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex]
[tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=-\frac{1}{\sqrt{3} }[/tex]
[tex]csc(x)=2[/tex]
[tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
(I'll just use x for ease of writing)
We have the trig equation [tex]cos(x)=-\frac{\sqrt{3} }{2}[/tex], and we know that its terminal side is in the 2nd quadrant. By using a unit circle, we can determine that the angle is [tex]\frac{5\pi}{6}[/tex] which has an ordered pair of [tex](-\frac{\sqrt{3} }{2},\frac{1}{2} )[/tex]
[tex]sin(x)=y[/tex], so [tex]sin(x)=\frac{1}{2}[/tex]
[tex]tan(x)=\frac{y}{x}[/tex], so [tex]tan(x)=\frac{\frac{1}{2} }{-\frac{\sqrt{3} }{2} }=-\frac{1}{\sqrt{3} }[/tex]
Now that we have sin, cos, and tan, we can just take the reciprocal of each of these to get our answers for csc, sec, and cot.
[tex]csc(x)=\frac{1}{sin(x)}[/tex], so [tex]csc(x)=2[/tex]
[tex]sec(x)=\frac{1}{cos(x)}[/tex], so [tex]sec(x)=-\frac{2}{\sqrt{3}}[/tex]
[tex]cot(x)=\frac{1}{tan(x)}[/tex], so [tex]cot(x)=-\sqrt{3}[/tex]
Step-by-step explanation:
please ansswer need help sorting these
A newspaper conducted a survey to find out how many high school students play video games. The two-way table below displays the data from the survey. Based on these data in the table, which statement is true? *
A. There were 2,451 boys surveyed, and about 29% of them play video games.
B. There were 2,996 girls surveyed, and about 45% of them play video games.
C. There were 5,447 students surveyed, and about 54% of them do not play video games.
D. There were 2,493 students surveyed, and about 34% of them are girls who do not play video games.
Answer:
Correct option is:
B. There were 2,996 girls surveyed, and about 45% of them play video games.
Step-by-step explanation:
Let us calculate the percentage step by step as per the options.
We are given the following:
1. Boys who do play video games = 1593
2. Boys who do not play video games = 858
3. Total boys = 2451
4. Girls who do play video games = 1361
5. Boys who do not play video games = 1635
6. Total boys = 2996
7. Total number of candidates = Total boys + Total girls = 5447
8. Total number of students, who play video games = 2954
9. Total number of students, who do not play video games = 2493
Percentage of boys who play video games:
[tex]\dfrac{1593}{2451} \times 100 = 64.99\%[/tex]
So, option A is not correct.
Percentage of girls who play video games:
[tex]\dfrac{1361}{2996} \times 100 = 45.43\%[/tex]
The percentage is near about 45%, so option B is correct.
Percentage of Total number of students, who do not play video games:
[tex]\dfrac{2493}{5447} \times 100 = 45.77\%[/tex]
So, option C is not correct.
Hence, correct answer is option B.
Answer:
Its b
Step-by-step explanation:
B , it just makes sense
Find the perimeter and area of the rectangle given below. A rectangle ABCD with vertices A(2,4), B(2,7), C(5,7), and D(5,4).
Answers:
Perimeter=6 units
Area=0 units ^2
please see the attached picture for full solution
hope it helps
Good luck on your assignment
The side length of the cube is 9 inches. Find the volume of the cube.
_______________________________
Hey!!
Solution,
Length(l)=9 inches
Volume of cube=?
Now,
Volume of cube= (L)^3
=(9)^3
=729 inches^3
Hope it helps...
Good luck on your assignment
_____________________________
Answer:
[tex]729 {in}^{3} [/tex]
Step-by-step explanation:
[tex]volume = whl \\ [/tex]
[tex]v = x \times x \times x \\ = {x}^{3} \\ = {9}^{3} \\ = 9 \times 9 \times 9 \\ = 81 \times 9 \\ =72 9[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
If f= {(2, 3), (5,7), (3, 3), (5, 4), (9, 1)), what is the range?
(2,5, 3, 9)
(3, 7, 3, 4,1)
all whole numbers
{1, 3, 4, 7}
To list out the range, you list the y coordinate values of each point of the function. Each point is of the form (x,y). Any duplicate values are tossed out when we talk about a set. All we care about are the unique values. It's common practice to sort the values of the set from smallest to largest.
Side note: Choice A is listing the x values of each point, which is the domain.
lindsey completed a 30 point assignment. she eared 21 points what percent did she earn?
Answer:
Lindsey got 70% on this assignment.
Step-by-step explanation:
21 divided by 30 equals 0.7 which is 70% in percent form.
Answer:
She earned a seventy percent.
Step-by-step explanation:
You set the problem up like 21/30 = x/100.
Then, you cross multiply and you get 30x=2100.
From there, you divide each side by thirty and then you get x = 70.
And that brings you to 70 percent. Hope this helps!
At which point do the graphs of the following equations intersect each other?
2x - y + 4 = 0
x + y = -5
A. (2, -1)
B. (-3,-2)
C. (4, -5)
D. (1,1)
Answer:
(-3,-2)
Step-by-step explanation:
Rewrite first equation in slope-intercept form ( y = mx + b)
2x -y + 4 = 0
-y = -2x - 4
y = 2x + 4
Now rewrite second equation in slope intercept form
y = -x -5
Graph both equations on a calculator and you see that they intersect at (-3,-2)
Solve for x: x5 − 2 = 18
x5-2=18
I’m gonna rewrite the equation:
18=5x-2
5*4=20-2
X=4
please help solve this
Answer:
last option
Step-by-step explanation:
We know that a₁ (or the first term) = 4 so we can rule out the second and third options. d (or the common difference) = 8 (because 4 + 8 = 12, 12 + 8 = 20 and so on) so our answer is the last option.
Help me please !!!!!!!!!
Answer:
756.5 =x
Step-by-step explanation:
To find the perimeter of a rectangle
P = 2 (l+w)
4533 = 2 ( x+3 + 2x-6)
Combine like terms
4533 = 2 ( 3x -3)
Distribute
4533 = 6x -6
Add 6 to each side
4533+6 = 6x
4539 = 6x
Divide by 6
4539/6 =x
756.5 =x
Simplify the expression
(C^4/3 x b^1/2)^-3
Answer:
3 b 11 6
Step-by-step explanation:
3 b 1 2 ⋅ b 4 3
Move
b 4 3 . 3 ( b 4 3 b 1 2 )
Use the power rule
a m a n = a m + n
to combine exponents.
3 b 4 3 + 1 2
To write
4 3
as a fraction with a common denominator, multiply by
2 2 . 3 b 4 3 ⋅ 2 2 + 12
To write 1 2
as a fraction with a common denominator, multiply by
3 3 . 3 b4 3 ⋅ 2 2 + 1 2 ⋅ 3 3
Write each expression with a common denominator of
6
, by multiplying each by an appropriate factor of
1 .
Tap for more steps...
3 b 4 ⋅ 2 6 +3 6
Combine the numerators over the common denominator.
3 b 4 ⋅ 2 + 3 6
Simplify the numerator.
solve for k. 2.5(4k+2) =12k
Answer:
2.5
Step-by-step explanation:
2.5(4k+2) =12k
2.5*6k=12k
Answer: 2.5
Step-by-step explanation:
Which of the following phrases translates to 8 - m?
the difference between a number and eight
eight decreased by a number
eight subtracted from a number
a number minus eight
Answer: B) eight decreased by a number
Step-by-step explanation:
decreased = subtraction, therefore, eight decreased by a number is 8 - m.
Pls do 4,5 for 7 points.
Answers:
6-5please see the attached picture for full solution
hope it helps
Good luck on your assignment...
If f(x) = 5x, what is y(x)?
Answer:
Step-by-step explanation:
y(x) and f(x) are similar in meaning; they both state that the dependent variable is a function of the independent variable x.
f(x) = 5x = y(x).
Help anyone???? Please
Answer: A
Angle a = Angle b since they are vertical angles