Answer:
52 adults and 42 children attended the concert
Step-by-step explanation:
Given:
Total attendees=94 people
Adults tickets=$2.5
Children tickets=$1.75
Total receipts=$203.5
Let adults=a
Children=c
a+c=94 (1)
2.5a + 1.75c=203.5 (2)
From (1)
a+c=94
a=94-c
Substitute a=94-c into (2)
2.5a + 1.75c=203.5
2.5(94-c) + 1.75c=203.5
235-2.5c+1.75c=203.5
-0.75c=203.5-235
-0.75c=-31.5
Divide both sides by -0.75
-0.75c/-0.75=-31.5/-0.75
c=42
Substitute c=42 into (1)
a+c=94
a+42=94
a=94-42
=52
a=52
Therefore,
52 adults and 42 children attended the concert
Sylvie needs $110 for a concert ticket. She already has $16 and she can earn the rest by working 10 hours at her job. If h represents her hourly earnings, which of the following equations can be solved to find Sylvie’s hourly earnings?
Answer:9.4$ a hour
Step-by-step explanation:
110 - 16 = 94
94 / 10 = 9.4
she makes 9.4$ a hour
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Answer:
10h - 16
Step-by-step explanation:
She needs $110 so,
110 = however much she's getting an hour times 10 hours, minus 16 because she already has $16
110 = 10x - 16
Hope this helped, let me know if it's right
Please help me, tysm if you do
Answer:
No solutionStep-by-step explanation:
7( r - 2 ) - 9(r - 1) = 3 ( 5 - r ) + ( r - 8 )
Distribute 7 through the parentheses
7r - 14 - 9(r - 1 ) = 3( 5 - r ) + ( r - 8)
Distribute -9 though the parantheses
7r - 14 - 9r + 9 = 3(5 - r ) + ( r - 8)
Distribute 3 through the parantheses
7r - 14 - 9r + 9 = 15 - 3r + r - 8
When there is (+) in front of an expression in parentheses, the expression remains the same
7r - 14 - 9r + 9 = 15 - 3r + r - 8
Collect like terms
7r - 9r - 14 + 9 = 15 - 3r + r - 8
-2r - 14 + 9 = 15 - 3r + r - 8
Calculate
-2r- 5 = 15 - 3r + r - 8
Subtract the number
-2r - 5 = 7 - 3r + r
Collect like terms
-2r - 5 = 7 - 2r
Cancel equal terms on both sides of the equation
- 5 = 7
The statement is False for any value of X.
Hence, there is no solution.
Hope this helps...
Good luck on your assignment...
A ball is thrown in air and it’s height, h(t) in feet, at any time, t in seconds, is represented by the equation h(t) =-t^2+7t. When is the ball higher than 10 feet off the ground?
Answer:
The ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds
Step-by-step explanation:
In the above question, we are given the equation:
h(t) =-t²+7t.
We are asked to find the time (t) when the ball will be higher than 10 feet.
h(t) = height = 10 feet.
So we have:
10 = -t² + 7t
t² - 7t + 10 = 0
We have a quadratic equation hence we factorise.
t² - 5t - 2t + 10 = 0
(t² - 5t) +(2t - 10)= 0
t(t - 5) + 2 (t - 5) = 0
(t - 2) (t - 5) = 0
t - 2 = 0, t = 2
t - 5 = 0, t = 5
t = 5 and t = 2
Therefore, the ball is higher than 10 feet off the ground when the time is between 2 to 5 seconds.
PLEASE HELP!!
Find the volume of the sphere rounded to the nearest hundredth
Answer:
Step-by-step explanation:
The volume for a sphere is
[tex]V=\frac{4}{3}\pi r^3[/tex]. Our radius is 21 inches, so
[tex]V=\frac{4}{3}\pi (21)^3[/tex] and
[tex]V=\frac{4}{3}\pi (9261)[/tex]. Multiplying straight across the top, using the fact that 3.14 is pi:
[tex]V=\frac{116318.16}{3}[/tex] and divide to get that
V = 38772.72 in^3
this is simple! hope u guys can do it so i can give out brainliest!!
Answer:
A) 27.6
B) 978.3
C) 42.9
D) 9
Step-by-step explanation:
I'm pretty sure its suppose to b 1 answer but i didn't do this question.
Answer:
A)= 27.6 B)= 978.3 C)= 42.9 D=9
Step-by-step explanation:
HURRY PLEASE!!!!
in circle O, line SU is a diameter. what is the measure of arc ST?
100°
108°
130°
160°
Answer:
130
Step-by-step explanation:
18+19+20+21+22+23+...................+52
Answer:
1194
Step-by-step explanation:
Answer:
The answer is 1194
Step-by-step explanation:
It goes up by one point each so if you add all the numbers from 18 thru 52 you would get the answer.
Soccer team has 10 players in a tournament there are seven teams and two players on each team drop out how many are there left
Answer:
1 team = 10 players
7 teams = 7×10 players
= 70 players
drop out players:
1 team = 2 players
7 teams = 2×7
= 14 players
how many left ?
= total players - drop out players
= 70 - 14
= 56 players
the sum of two numbers is-5.When twice the first number is added to the second number the result is -2,find the two numbers
Answer:
Step-by-step explanation:
First write the question as an equation
x+y = -5
2x+y = -2
From the given equations, we can create a third one.
x+y+2x+y = -7 or 3x+2y = -7
Use trial and error method for the possible values x and y
We know that at least one of these two have to be negative.
x can be 1, in which case y has to be 5.
Check this for
x+y ≠ -5
x can be -1
Try another one where x = -1 and y has to equal -2
Check this
X
x+y = -5
but,
2x+y ≠ -2
Another one,
Answer:
3 and -8
3 x 2 = 6
6 + -8 = 2
3 + -8 = 5
You have to find out which numbers add up to -5
Mainly trial and error
Step-by-step explanation:
The segments shown below could form a triangle.
sorry i don,t unerstan what u wn,t
PLZZZZZZZZZZ HLPPPPPPPPP MEEEEEEEEEEEE
Answer:
2 roots.
Step-by-step explanation:
The roots are the same things as the x-intercepts. From -4 to 3, there are two times when the polynomial intersects the x-axis. So, there are 2 roots.
Hope this helps!
The endpoints of JK are J(–25, 10) and K(5, –20). What is the y-coordinate of point L, which divides JK into a 7:3 ratio?
Answer:
-11
Step-by-step explanation:
You need to find the difference in y-coordinates and divide that difference into a 7:3 ratio. Then you add that to the y-coordinate of point J.
Difference in y:
-20 - 10 = -30
7 + 3 = 10
7/10 * (-30) = -21
Add -21 to 10:
10 + (-21) = -11
The y-coordinate is -11.
The perimeter of a rectangular pool is 312 m.
If the width of the pool is 68 m, what is its length?
Length of the pool:
m
The perimeter of a rectangle is calculated by:
[tex]\boxed{P=width +width+length+ length}[/tex]
Remember: In a rectangle, opposite sides are equals.
If we know how much is the width, then it's just apply it to the expression:
[tex]P=width+width+length+length\\312 =68 + 68 + length + length\\312 = 136+(2\cdot length)\\312 - 136 = 2\cdot length\\2\cdot length = 176\\length = \frac{176}{2} \\length = 88[/tex]
Therefore, the length of the pool is 88m.
Please answer this question now in two minutes
Answer:
ABC and DEF
Step-by-step explanation:
they are the only planes that can be parallel
Apply the distributive property to factor out the greatest common factor. 32 + 44 = 32+44=32, plus, 44, equals
Answer:
4 is the largest number that is common to both 32 and 44. Factoring it out looks like this: 4(8 + 11) = 4(8 + 11). That's weird to me but all textbooks begin that process just that same way.
Step-by-step explanation:
Greatest common factor of 32 and 44 is 4:
32/4 = 8
44/4 = 11
Factor 4 out of the equation 32 + 44 =
The factored form would be 4(8 + 11)
Polygon ABCD is plotted on a coordinate plane. If the polygon translates 3 units to the left and 1 unit down, the length of diagonal is units. If the polygon translates 3 units further to the left and four units down, the length of diagonal .
Answer:
2 and remains the same
Step-by-step explanation:
mr smith owns a lot of valued at 12000. It is assessed at 80% of it value. how much tax does he pay if the tax rate if 1.5% of the assessed value.
Find the assessed amount:
12000 x 0.80 = 9600
Multiply the assessed amount by tax rate:
9600 x 0.015 = 144
He pay $144
The amount of tax Mr smith pays if the tax rate is 1.5% of the assessed value will be $144.
What is the percentage?The percentage is defined as a given amount in every hundred. It is a fraction with 100 as the denominator percentage is represented by the one symbol %.
The percentage has numerous applications in the real life for example in school marks, salary deduction, and all accounting.
The percentage is also called the indicating hundredths. Thus, 2% is two-hundredth, which means 1%=1/100=0.01.
Value of lot $12000
assessed amount:
12000 x 0.80 = $9600
The tax rate is 1.5% so the tax of the assessed amount will be
$9600 × 0.015 = $144 hence it will be the tax amount that Mr smith needs to pay.
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As an estimation we are told £3 is €4. Convert £73.50 to euros.
Answer:
£73.5 = € 98
Step-by-step explanation:
Let's use the unitary method
=> £3 = €4
So,
£1 = €4/3
Multiplying both sides by 73.5
£73.5 = € 98
Answer:
€98
Step-by-step explanation:
£3 = €4
£73.5 = €x
Let the unknown euros be x.
Cross multiply
3 × x = 4 × 73.5
3 × x = 294
Divide both sides by 3.
x = 294/3
x = 98
E
Given ADEF, which is not equal to cos(F)?
5
5
sin(F).
O sin(D).
tan(F).
COS(D).
D
F
5/5
6
NI
Answer:
what explain more send picture of the question
Step-by-step explanation:
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
Trigonometric ratio
Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.
Given triangle DEF:
DE = EF (Hence it is an isosceles triangle)
∠F = ∠D ( Isosceles triangle)
cos(F) = cos(D) = 5 / 5√2 = 1/√2
sin(F) = sin(D) = 5 / 5√2 = 1/√2
tan(F) = tan(D) = 5 / 5 = 1
In right angled triangle DEF, cos(F) = cos(D) = 1/√2, sin(F) = sin(D) = 1/√2 and tan(F) = tan(D) = 1
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The slope of a line is 1, and the y-intercept is -1. What is the equation of the line written in slope-intercept form?
Oy= 1-X
Oy =-x-1
Oy=x-1
Answer:
y = x-1
Step-by-step explanation:
The slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y= 1x -1
y = x-1
The slope intercept form is,
y = x -1
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Since, The slope intercept form is
y = mx + b
where m is the slope and b is the y intercept
Here, We have;
The slope of a line is 1, and the y-intercept is -1.
Hence, We get;
The slope intercept form is,
y = 1x -1
y = x - 1
Thus, The slope intercept form is,
y = x -1
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PLEASE HELP NOW!!!!!! I WILL GIVE BRAINLIEST!!!!!!!! How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
A number is divisible by 5 if the digit in the units or ones place is either 0 or 5. We want all digits to be even, so we throw out 5 as a candidate digit.
We're considering all numbers between 1000 and 9999, of which there are 9000. Numbers in this range can have any of the digits 0-9 in the tens and hundreds place, and any of 1-9 in the thousands place.
We also want all digits to be even, which means we can pull from the numbers {0, 2, 4, 6, 8} in the hundreds and tens places, and {2, 4, 6, 8} in the thousands place.
So there are 4*5*5*1 = 100 numbers in this range that are divisible by 5.
A cone has radius 5x cm and a height 12x cm.A sphere has radius r cm.The cone has the same total surface area as the sphere.Show that r²=45÷2 x². (The curved surface area,A, of a cone with radius r and slant height l is A=πrl.) (The surface area,A, of a sphere with radius r is A=4πr².)
someone please help with this last one
Answer:
r^2 = 45÷2 x^2
Step-by-step explanation:
Details of cone:
Radius(r) = 5x cm
Height(h) = 12x cm
Slant height(l) = √(12x^2 + 5x^2)
l = 13x cm
Total surface area of a cone (T. S. A) = πrl + πr²
T. S. A = π * 5x * 13x + π5x^2
T.S.A = π65x^2 + π5x^2
T.S.A = π65x^2 + π25x^2
T.S.A = 90πx^2 - - - - - (1)
Details of sphere:
Radius (r) = r cm
Total surface area = 4πr²
Total Surface area of sphere= 4πr²cm - - - (2)
Equating (1) and (2) to calculate r
4πr² = 90πx^2
r^2 = 90πx^2 / 4π
r^2 = 90π (x^2) / 4π
r^2 = 45/2 (x^2) ;
r^2 = 45÷2 x^2
Hence the proof
10 POINTS!!!!
suppose f(x)=x^2 -1 find the graph of f(2/3x)
please include a picture of the graph
Step-by-step explanation:
[tex]f( \frac{2}{3} x) = \frac{4}{9} {x}^{2} - 1 \\ \frac{4}{9} {x}^{2} - 1 = 0 \\ \sqrt{ {x}^{2} } = \sqrt{ \frac{9}{4} } \\ x = \frac{3}{2} \\ x = - \frac{3}{2} [/tex]
we have three points of the graph
(0,-1) min point
and those two values for x.
so:
I am really struggling with this question. please help.
I believe the answer is B
PLS HELP ME IMA GIBE BRAINLIST AND A LIKE
Answer:41.7
Step-by-step explanation:let the unknown percent be x
X\100 of 48=20
X/100 x 48 =20
48x/100= 20
Cross multiply
48x =100 x 20
48x = 2000
Divide both sides by 48
X= 2000/48
X= 41.7
Find the slope then the y - intercept of the line. Y = -5/2x + 3
Answer:
m = -5/2
b = 3
Step-by-step explanation:
The equation is in y = mx +b form where m is the slope and b is the y-intercept. This means that the slope is -5/2 and the y-intercept is 3.
In a paragraph, COMPARE and CONTRAST constant rate of change and average rate of change.
Answer:
The constant rate of change would be considered slope. It would define the rate of change for the entire line, meaning it would show the constant change for infinity. The average rate of change would be the change between 2 data/set points. It would not be applied to infinite numbers, but only given points and numbers.
I need this answer ASAP please! The rectangle in the figure is composed of six squares. Find the side length of the largest square if the side length of the smallest square is 1.
Answer:
7
Step-by-step explanation:
The smallest = 1
Then the 2 off = 4
Then 5, then 6 and finally 7
Sides of the rectangle:
4+4+5=13
6+7= 13
7+4=11
5+6=11
7 units are the side length of the largest square.
What is a square?A square is a regular quadrilateral in Euclidean geometry, which means that it has four equal sides and four equal angles. It can alternatively be explained as a rectangle with two neighboring sides that are of equal length.
Given :
Let x be the side length of the second-smallest square.
Since the following size is square and 2 taller than the "x" square, its side length is (x+2).
This indicates that the bottom is longer (2x+x+2).
This can be used to discover expressions for the rectangle's top, left, and right sides. You can solve for x and consequently both dimensions because the top and bottom are identical in length.
Therefore, 7 units are the side length of the largest square.
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The following table shows the length and width of a rectangle: Length Width Rectangle A 3x + 2 2x − 1 Which expression is the result of the perimeter of rectangle A and demonstrates the closure property? 2x + 2; the answer is a polynomial 2x + 2; the answer may or may not be a polynomial 10x + 2; the answer is a polynomial 10x + 2; the answer may or may not be a polynomial
Answer:
the answer is a polynomial 10x + 2
Step-by-step explanation:
Length = 3x + 2
Width = 2x - 1
Perimeter = 2l + 2w
P = 2(3x+2) + 2(2x-1)
P = 6x+4+4x-2
P= 10x+2
A polynomial is an expression consisting of variables. They can have one or more terms.
Answer:
10x + 2; the answer is a polynomial
Step-by-step explanation:
Find the unknown side length, x. Write your answer in simplest radical form. A. 3 B √34 C 6 D √41
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