Answer:
a = 242 adult and c = 52 children
Step-by-step explanation:
Solving as a system of equations.
a = adult
c = children
The adult and the children equal 294 people
a + c = 294
adult cost is 2.25 per adult
Total amount of adult is 2.25a because the number of adult are not given.
children cost is 1.75 per children
Total amount children is 1.75c because the number of children are not given
Total receipts $635.50.
a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50
Add these equations together
-1.75a - 1.75c = - 514.50
2.25a + 1.75c = 635.50
.50a = 121.00
a = 121.00/.50a
a = 242 adult
a + c = 294
242 + c = 294
c = 294 - 242
c = 52 children
Check: $2.25(242) + $1.75( 52) = $635 .50
$544.50 + $91.00 = $635.50
$635.50 = $635.50
there’s no actual question just this picture & multiple choices , please help .
Answer:
12
Step-by-step explanation:
There is a right angle formed, hence this triangle is a right-angled triangle.
Using Pythagoras Theorem,
[tex]a^2+b^2=c^2[/tex]
[tex]16^2+b^2=20^2[/tex]
[tex]256+b^2=400[/tex]
[tex]b^2=400-256=144[/tex]
[tex]b=12[/tex]
The missing length is 12
you are on a boat in the ocean at point A you locate a lighthouse at point D beyond the line of sight of the marker at point C you drive 0.2 miles west to point B and then 0.1 miles south to point C you drive 0.3 miles more to arrive at point E which ie due east of the lighthouse. what is the distance from point E to the lighthouse
Answer:
It is 0.6 miles
Step-by-step explanation:
The area of a trapezoid is 65mm2, the top is
9mm long, the height is 11mm long.
Find the base of the trapezoid.
Answer:
[tex]2.\bar{81}mm[/tex]
Step-by-step explanation:
First the formula for find the are of a trapezoid is:
[tex]A = \frac{h(a+b)}{2}[/tex]
Where [tex]a[/tex] is the top, [tex]h[/tex] the height and [tex]b[/tex] the base measures.
Then we need to know what is the base ([tex]b[/tex]), for that isolate [tex]b[/tex] from the equation
[tex]2A = h(a+b)\\\frac{2A}{h} = a+b\\\frac{2A}{h} - a = b[/tex]
Then in the new equation replace the given values:
[tex]A = 65mm^2\\a = 9mm\\h = 11mm[/tex]
[tex]\frac{2 \cdot 65mm^2}{11mm} -9mm = b\\\frac{130mm^2}{11mm} -9mm = b\\11.\bar{81}mm -9mm = b\\2.\bar{81}mm = b[/tex]
So the final answer is [tex]2.\bar{81}mm[/tex]
find the measure of each angle indicated
Answer:
91°
Step-by-step explanation:
The angles are consecutive interior angles (CIA) which add up to 180°.
180 - 89 = 91
Find -5(-12) + (-15)
With explanation please i forgot how to do it
Answer:
45
Step-by-step explanation:
-5(-12)+(-15)
--> Multiply -5 and -12 to get 60
60-15
--> Subtract 15 from 60 to get 45
Hope this helps you!
If the price of a particular chocolate bar is increased by 40%, and it used to be $2, what is the new price after the increase?
Answer:
6$
Step-by-step explanation:
2+4=6
20%+40%=60%
The new price after the increase is $2.8 .
What is percent increase?Percentage increase is the difference between the final value and the initial value, expressed in the form of a percentage. In other words, it is the difference between the final value and the initial value which is divided by the initial value and then multiplied by 100.
According to the question
The price of chocolate bar = $2
The price of a particular chocolate bar is increased by 40%,
i.e
The percent increase in the price of chocolate bar = 40%
Now,
increase prize :
= [tex]2*\frac{40}{100}[/tex]
= $0.8
The new price after the increase
= $2.8
Hence, the new price after the increase is $2.8 .
To know more about percent increase here:
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will give brainliest
g(x) = 2x + 4
h(x) =-3x + 4
Find (goh)(x)
Answer:
g(x)o(x) = -6x²-4x+16
2m+m=24
[tex]2m + m = 24[/tex]
I don't know
Answer:
m = 8
Step-by-step explanation:
2m + m = 24 ( collect like terms on left side )
3m = 24 ( divide both sides by 3 )
m = 8
Answer:
m = 8
Step-by-step explanation:
2m + m = 24
3m = 24
(3m)/3 = (24/3)
m = 8
Check:
2*8 + 8 = 24
16 + 8 = 24
Helpppppppppppppppppppp
Answer:
x = -5
Step-by-step explanation:
f(x) = [tex]\frac{x+5}{4}[/tex]
Okay, so in order to find the zeroes of the equation, we need to find the values of x for which f(x) = 0.
[tex]\frac{x+5}{4}[/tex] = 0
We can start by multiplying both sides by 4. Anything multiplied by 0 equals 0, so we have the following:
x + 5 = 0
Now, subtracting 5 from both sides in order to isolate x, we have:
x = -5
To check our work, let's substitute -5 into our equation:
f(-5) = [tex]\frac{-5+5}{4}[/tex] = [tex]\frac{0}{4}[/tex]
0 divided by anything equals 0, so f(-5) = 0.
Find a
rational number between 3 and pi
Answer:
3.1
Step-by-step explanation:
Find the median of the first 13 natural numbers
Answer
116.4k+ views
Hint: We will write the first ten odd natural numbers and then add them to find their sum. We will then substitute the values in the formula of arithmetic mean , a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Complete step-by-step answer:
We have to find the arithmetic mean of first ten odd natural numbers .
Natural numbers are counting numbers and starts from 1.
Odd numbers are not multiples of 2.
The first ten odd natural numbers are 1,3,5,7,9,11,13,15,17,19.
Arithmetic mean is calculated by adding all the observations by the total number of observations.
Arithmetic mean is given by a1+a2...+ann, where n is the number of terms and a1,a2,..an are n observations.
Therefore, we will calculate the sum of the first ten odd natural numbers.
⇒1+3+5+7+9+11+13+15+17+19⇒100
Now, we will divide this by 10 as there are a total 10 numbers.
10010=10
Hence, the arithmetic mean of first ten odd natural numbers is 10.
Note: Arithmetic mean is also known as average or simply mean. Odd numbers are not divisible by 2. The sum of n odd natural numbers is also given by n2
Question in the picture
Answer:
X = 73, Y = 138
Step-by-step explanation:
656nm into m plzzzzzzzz
Answer:
[tex]6.56\times10^{-7}[/tex]
Step-by-step explanation:
[tex]1nm[/tex] is equal to [tex]1\times 10^{-9}m[/tex] so you have the next relation
[tex]\frac{1nm}{1\times 10^{-9}m} = \frac{656nm}{x}[/tex]
Then isolating [tex]x[/tex] you have
[tex]x = \frac{6.56\times 10^{2}nm \cdot 1\times 10^{-9}m}{1nm} = 6.56\times 10^{-7}m[/tex]
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!8
Answer:
Step-by-step explanation:
y - 4 = -2(x - 6) It might be easier to do if we removed the brackets and collect like terms.
y - 4 = -2x + 12 Add 4 to both sides
y = - 2x + 4 + 12 Combine
y = - 2x + 16
It's not one because -6*-2 + 16 = 28 for y.
It's B
y = -2 * 6 + 16
y = - 12 + 16
y = 4
(6,4) is the answer.
c: doesn't appear to be right. Any minus sign is going to make the number in front of x + which only adds to 16 making bigger.
d: -2*4 + 16 = - 8 + 16 = 8 which is incorrect. The answer should by 6 not 8
can someone help me please
Answer:
a) interior angle: 156°
b) exterior angle: 24°
Step-by-step explanation:
b)The sum of the exterior angles of a convex polygon is 360°. Then the exterior angle of a regular 15-gon will be ...
360°/15 = 24°
__
a)The interior angle of a convex polygon is the supplement of the exterior angle at that vertex. For an exterior angle of 24°, a regular 15-gon will have an interior angle of ...
180° -24° = 156°
_____
Additional comment
We find it easier to work this problem by finding the exterior angle first. Note that the results only apply to a 15-gon in which all interior angles are congruent.
At a certain theater 4 adult tickets and 2 children's tickets cost
$36.50. Three adult tickets and 5 children's tickets cost $38.75. Which
system of equations could be used to determine the cost of one adult
ticket, a, and one child's ticket, c?
A. 4a +2c= 36.50
3a + 5c = 38.75
B. 7a+ 7 = 14
a+b= 75.2
C. 7a = 36.50
5a + 7c = 38.75
D. 4a + 2c = 38.75
За + 5c = 36.50
Answer:
letter D
Step-by-step explanation:
it's my guess I think it's correct
please help! thanks!
please help, this is due today:
Answer:
x = 17
Step-by-step explanation:
∠ DCE = ∠ ACE ( vertically opposite angles )
The sum of the 3 angles in a triangle = 180° , then
∠ DCE = 180° - (100 +x) = 180 - 100 - x = 80 - x
∠ ACE = 180 - (49 + 4x) = 180 - 49 - 4x = 131 - 4x
Equating the 2 angles
80 - x = 131 - 4x ( add 4x to both sides )
80 + 3x = 131 ( subtract 80 from both sides )
3x = 51 ( divide both sides by 3 )
x = 17
a student says that if 5x^2 = 20, then x must be equal to 2. do u agre or disagree with the student? justify your answer.
Answer:
The student is correct.
Step-by-step explanation:
Given that 5x² = 20:
It is true that the value of x = 2 because 2² = 4, and when you multiply 4 with 5, you'll get a product of 20:
5x² = 20
5(2)² = 20
5(4) = 20
20 = 20
Therefore, the student is correct that x = 2.
please what is the answer fast very
Answer:
The answer is A (-2)^3 * 6^3
find x if mi = 3x - 5 and mj = x + 5
4,505 in expanded form
hello,can someone help me with these 2 i dont really get them
Answer:
7. The area should be 32. Multiply 5 by 4 to get 20. Find the missing length to multiply by 3, which is 4, and multiply. 3 * 4 = 12. Add 20 + 12 and get 32 cm.
8. The area should be 70. You did pretty well, but when finding the area of a triangle, divide the product by 2, or multiply by 0.5. 5 * 8 = 40/2 or 40 * 0.5 which both equal 20. 50, plus the area of the triangle, 20, will get you 70.
estimate how full each container is.
Answer:
5/8
Step-by-step explanation:
the answer is 5/8 hope you get answer right.
Please help me with this MATH question.
Answer:
y=4
Step-by-step explanation:
84=30y-9y, first you collect like terms.
84=21y, swap the sides
21y=84, devide both sides and you get y =4
Can anyone tell me the answer to this please?
Answer:
-4x + 2
Step-by-step explanation:
The outputs are decreasing by 4, so -4 is the slope, the coefficient for x.
The y- intercept is 2 because when x is zero, y is 2. You can find the y-intercept by adding 4 to -2, the output for when x is 1.
Answer:
y = -4x + 2
Step-by-step explanation:
First find the slope using this equation ....
y2 - y1/x2 - x2 =
plug in two ordered pairs (doesn't matter which one) ....
-2 - (-6)/1 - 2 =
-2 + 6/-1 =
4/-1 = -4
The slope is -4. The next blank is the y-intercept (0,y) ....
y = -4x + b
plug in any ordered pair ....
-2 = -4(1) + b
-2 = -4 + b
+4 +4
2 = b
Put it all together ....
y = -4x + 2
A car accelerates
at a rate of 7 m/s2. If its
original speed is 13 m/s, how many seconds will it take the car to reach a
final speed of 62 m/s?
PLEASE SHOW WORK
Answer:
7 Seconds
Step-by-step explanation:
This is kinematics
Vf=Vi+at
t=[tex]\frac{Vf-Vi}{a}[/tex]
t=[tex]\frac{62-13}{7}[/tex]
t=[tex]\frac{49}{7} =7[/tex]
The temperature of a pan of water on the stove increases steadily from 22°C to 100°C at a rate of 8°C per minute. The temperature after 5 minutes is what.
Answer:
ui100
Step-by-step explanation:
125
The temperature of a pan of water on the stove after 5 minutes would be 40°C.
What is temperature?Temperature is the measure of the degree of hotness and coldness which is expressed in different scales.
The temperature of a pan of water increases steadily from 22°C to 100°C at a rate of 8°C per minute.
We need to find the temperature after 5 minutes.
Rate of temperature per minute = 8°C
Rate of temperature after 5 minutes = 8°C × 5
= 40°C
Therefore, the temperature after 5 minutes would be 40°C.
Learn more about temperature;
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What is the value of x?
Answer:
x=23
Step-by-step explanation:
3x+4x+19=180 is the equation you would set up because the two angles added up would be 180 degrees.
:))
help meeeee points on the line help
Answer:
4(7+6)
Step-by-step explanation:
first find GCF
prime factorize
28= 2*2*7 24=2*2*2*3
only common factor is 2
there are at least 2 2s in each
apply
4(7+6)