Answer: There are 69 adults and 72 children went to the concert.
Step-by-step explanation:
Let x be the number of adults, and y be the number of children.
x + y = 141
3.5x + 2.5y = 421.5
x + y =141
x = 141 - y
3.5(141 - y) + 2.5y = 421.5
493.5 - 3.5y + 2.5y = 421.5
493.5 - y = 421.5
-y = -72
y = 72
x + y = 141
x + 72 = 141
x = 69
If the matrix of coefficients of a homogeneous system of n linear equations in n unknowns does not have an inverse, then the system has infinitely many solutions. (a) Always true (b) Sometimes true (c) Never true, i.e., false (d) None of the above
Answer:
(a) Always true
Step-by-step explanation:
In the case when there is a matrix of coefficient for a homogeneous system for n linear equations so it does not have an opposite and then the system would be have the infinite various solutions
So this is always true as in this it can be unique test or infinite.
So according to the given situation, the option a is correct
Find the slope and y - i intercept of the line y = 4/3 * x - 3 .
Answer:
(2,-4)
hope this helps
Step-by-step explanation:
Answer:
slope: 4/3
y-intercept: -3
Step-by-step explanation:
the number before x is the slope.
the number at the end of the equation is the y-intercept.
A rectangle that has a side length of 9 centimeters and 6 centimeters. What is the area of the rectangle?
3. If your weekly salary is $415.00, how much do you take home each week after deductions are made for federal income tax of $82.13, state tax of $9.74, social security and Medicare tax of $31.75, and retirement plan deduction of $41.50.
Answer:
retirement plan deduction of $41.50. 19.725 divided by 2.5. 6.8 x 78.9. 593.84 divided by 1.3.
Step-by-step explanation:
the volume of a sphere is increasing at a rate of 7 cm^3/s. Find teh rate of change when volume is 4pi/3
The question is incomplete. The complete question is :
The volume of a sphere is increasing at a rate of 7 cm^3/sec. Find the rate of change of its surface area when its volume is 4 pi / 3 cm^3. (Do not round your answer.)
Solution :
Volume of the sphere, [tex]$V=\frac{4}{3} \pi r^3$[/tex]
Given that [tex]$\frac{dV}{dt}= 7 \ cm^3/s $[/tex]
V = [tex]$\frac{4 \pi}{3} = \frac{4 \pi r^3}{3}$[/tex]
∴ r = 1
[tex]$\frac{dV}{dt} =\frac{4}{3} \pi .3.r^2 \ \frac{dr}{dt}$[/tex]
[tex]$7 = \frac{4}{3} ( \pi )(3) (1)^2 \frac{dr}{dt}$[/tex]
[tex]$\frac{dr}{dt}=\frac{7}{4 \pi}$[/tex] cm/s
Surface area, [tex]$A = 4 \pi r^2$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi r \ \frac{dr}{dt}$[/tex]
[tex]$\frac{dA}{dt} = 8 \pi \times \frac{7}{4 \pi} \times 1$[/tex]
[tex]$=14 \ cm^2/s $[/tex]
Which expression has a value located to the right of 1 on the number line?
a) -1 - 7
b ) 1 - 7
c) - 7 - 1
d) 7 + 1
(Quick plz!!)
The Venn diagram represents different categories of real numbers. Which category on the Venn diagram is represented by this set?
[-8,1, 23. 11. 49)
A)
Irrational Numbers
B)
Integers
C
Natural Numbers
D
Rational Numbers
Answer:
the answer is d
Step-by-step explanation:
I just took the test
Mrs. Shaw writes this equation on the board. She asks the students to find
the solution.
-40 -2(3m + 1/2)= 7m -2
Keith’s work is shown below. What mistake did Keith make?
-40 - 6m + 1 = 7m - 2
-39 - 6m = 7m -2
-39 = 13m - 2
-37 = 13m
-2 11/13 = m
PLEASE HELP A BROTHER OUT
Charlie's business makes $1,051.75 on average each day. What should Charlie expect the business
to make in three weeks?
Answer:
$22,086.75 if he works 7 days a week! BUT in case of the scenerio where he works 5 days a week: $15776.25.
Step-by-step explanation:
Ok bro.
Depending on what kind of buisness he has here are the answers:
If he works 7 days a week, that means he works 21 days. 21 * $1,051.75 =
$22,086.75
If he works 5 days a week, that means he works 15 days. 15 * $1,051.75 =
$15776.25
Jillian picked coins from her piggy bank and recorded the number of coins in the table below.
Based on the results shown in the table, what is the probability that the coin Jillian picks will be a quarter
Answer:
1/8
Step-by-step explanation:
There are 24 coins total. 3 of them are quarters. So Jillian has a 3 in 24 chance of picking up a quarter. Simplifying 3/24 we get 1/8
The probability of randomly picking a quarter is P = 0.125
How to get the probability?
If we assume that all the coins have the same probability of being randomly picked, the probability of picking a particular type of coin is equal to the quotient between the number of coins of that type that we have, and the total number of coins.
In this case, we have 3 quarters, and a total of:
T = (6 + 7 + 8 + 3) = 24
Then the probability of randomly picking a quarter is:
P = 3/24 = 0.125
If you want to learn more about probability, you can read:
https://brainly.com/question/251701
Which of the following is NOT a unit of volume?
A. square meter
B. cubic meter
C. pint
D. milliliter
Answer:
C. pint
Step-by-step explanation:
PLS HELP IVE BEEN ASKING FOR 3 1/2 DAYS IM ABOUT TO FAIL 7th GRADE ITS OVERDUE WILL GIVE BRAINLIEST IF YOU ANSWER THIS TYSM
Answer:18 days
Step-by-step explanation:
Answer:
18 days to consume the apple
Step-by-step explanation: 18 because it takes 3 days for a half so six days equals 1 whole apple multiply that by 3 an you'll get 18
what is a grid with 4 quadrants and 2 axes?
Answer: The point at which the two axes intersect is called the origin. ... The intersecting x- and y-axes divide the coordinate plane into four sections. These four sections are called quadrants. Quadrants are named using the Roman numerals I, II, III, and IV beginning with the top right quadrant and moving counter clockwise.
Step-by-step explanation:
A grid with 4 quadrants and 2 axes is called as cartesian plane.
What is a cartesian plane?The cartesian plane is defined as a two-dimensional coordinate plane, which is formed by the intersection of the x-axis and y-axis.
What is a grid?A grid is a framework of spaced bars that are parallel to or cross each other.
Learn more about grid here
https://brainly.com/question/22785606
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What is the solution of 4x + 10 = 30?
X =
If 2 people answer then I’ll mark one of them brain list(that give me the correct answer)
Need answer asap, brainliest for correct answer
Answer:
last one
Step-by-step explanation:
A box of 3 picture hangers sells for $2.22. What is the unit rate
Answer:
0.74 cents each unit piece
Step-by-step explanation:
2.22 ÷ 3 = 0.74
My sis got stuck on these can you tell me the answer.
Answer:
you are supposed to guess how many inches the objects are after. that you need you to ACTUALLY measure them and round to the nearest inch. half of an inch and a forth of an inch
Step-by-step explanation:
here is an example so if it measures 2.25 inches it would be
nearest inch:2 inches
nearest 1/2 inch: 2 inches
nearest 1/4 inch: 2. 25 inches
f(x) = x²+1
What is f(f(x))?
Answer:
f(f(x)) = x⁴ + 2x² + 2
Step-by-step explanation:
if f(x) = x² + 1, then f(f(x)) is equal to:
f(x)² + 1
= (x² + 1)² + 1
= x⁴ + 2x² + 1 + 1
= x⁴ + 2x² + 2
A group of neighbors is holding an end of summer block party. They buy p packs of hot dogs, with 8 hot dogs in each pack. All together, they have 56 hot dogs for the party. Write an equation to describe this situation. How many packs of hot dogs did the neighbors buy?
Answer:
8 * X = 56
Step-by-step explanation:
8 * X = 56
Select the function that's represented in the graph
Answer: y = x^2 - 3
y-intercept = -3
find the total service area of this cone. leave your answer in terms of pi.
r=10in h=24in
Answer:
36pie inch²
Step-by-step explanation:
Answer attached
Hope it helps :)
The circular fountain in front of the park has
a diameter of 14 feet. What is the
circumference of the fountain?
A.
43.98 ft
B.
87.96 ft
C-21.99 ft
D-153.94 ft
15 it was rigth in khan academy if u got the letter one its A
The circumference of the fountain will be 43.98 square feet. Thus, the correct option is A.
What is the circumference of a circle?It is the close curve of an equidistant point drawn from the center. The radius of a circle is the distance between the center and the circumference.
Let d be the diameter of the circle. The circumference of the circle will be given as,
C = πd units
The diameter of the circular fountain is 14 feet. Then the circumference is calculated as,
C = π x 14
C = 43.98 square feet
Thus, the correct option is A.
More about the circumference of a circle link is given below.
https://brainly.com/question/27177006
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HELP PLS WHOEVER ANSWERS ILL GIVE BRAINLIEST
Answer:
A: 30
B: y=30x+14
Step-by-step explanation:
A
The rate of change, or slope, can be found from any two points (x1,y1) and (x2,y2), using the formula (y2-y1)/(x2-x1).
Let's use the points (0,14) and (2.2,80):
slope = (y2-y1)/(x2-x1)
= (80-14)/(2.2-0)
= 66/2.2
= 30
B
The slope-intercept form of a linear equation is y=mx+c, where x and y are any co-ordinates on the line, m is the slope and c is the y-intercept. Since we already know our slope (30), we can just plug this and some point on the line (eg (0,14)) into the equation to find c:
y=mx+c
14=(30)(0)+c
14=0+c
c=14
Therefore our equation is y=30x+14
What is the radius of a hemisphere with a volume of 81449 ft, to the nearest tenth
of a foot?
Answer:
44
Step-by-step explanation:
ZABD and ZDBC are supplementary angles.
What is the measure of x?
x = [?]
DK
X 148°
AR
>C
>C
B
Angles are not drawn to scale.
Enter
Answer:
Solution given:
x+148=180°[linear pair]
x=180°-148=32°
x=32° is your answer
Step-by-step explanation:
solution :
Given,
X+48 °= 180° [ being linear pair ]
X=180°-48°
X=32°
so,
X=32° answer.
hope it is helpful to you ☺️
A rocket is launched from a tower. The height of the rocket, y in feet, is related to the
time after launch, x in seconds, by the given equation. Using this equation, find the
time that the rocket will hit the ground, to the nearest 100th of second.
y= -16x2 + 1812 + 59
Answer:
The rocket will hit the ground after 113.28 seconds.
Step-by-step explanation:
Solving a quadratic equation:
Given a second order polynomial expressed by the following equation:
[tex]ax^{2} + bx + c, a\neq0[/tex].
This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:
[tex]x_{1} = \frac{-b + \sqrt{\Delta}}{2*a}[/tex]
[tex]x_{2} = \frac{-b - \sqrt{\Delta}}{2*a}[/tex]
[tex]\Delta = b^{2} - 4ac[/tex]
The height of a rocket, after t seconds, is given by:
[tex]h(x) = -16x^2 + 1812x + 59[/tex]
Using this equation, find the time that the rocket will hit the ground.
This is x for which [tex]h(x) = 0[/tex]. So
[tex]-16x^2 + 1812x + 59 = 0[/tex]
Then [tex]a = -16, b = 1812, c = 59[/tex]
[tex]\Delta = (1812)^2 - 4(-16)(59) = 3287120[/tex]
[tex]x_{1} = \frac{-1812 + \sqrt{3287120}}{2*(-16)} = -0.03[/tex]
[tex]x_{2} = \frac{-1812 - \sqrt{3287120}}{2*(-16)} = 113.28[/tex]
The rocket will hit the ground after 113.28 seconds.
Find the measure of <4.
{
44
158°
{
44 = [?]
Answer:
<4 = 22
Step-by-step explanation:
<4 = x
x + 158 = 180
x = 22
Same side interior angles are supplementary
<4+158=180<4=180-158<4=22°dsfdewasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqewwasedq24q2rwe3rq24rqweretretrrawsweqaeqw2e3q2wqew
Answer:
???
Step-by-step explanation:
Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
Nigel has 1 cups of butter in his refrigerator. He wants to make cookies and cupcakes. The equation y = 0.5x represents the amount of
butter, in cups, y needed per dozen cookies, X. The table below shows the number of cups of butter needed based on the number of
cupcakes made
Answer:
37
Step-by-step explanation: