Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Answer:
Answer:
Adult= $11
Children = $7.5
Step-by-step explanation:
Let x represent adult ticket and y represent children ticket
2x + 3y= 44.50........equation 1
3x + 6y= 78........equation 2
From equation 1
2x + 3y= 44.50
2x= 44.50-3y
x= 44.50-3y/2
Substitute 44.50-3y/2 for x in equation 2
3x+ 6y= 78
3(44.50-3y/2) + 6y= 78
66.75- 4.5y +6y= 78
66.75 + 1.5y= 78
1.5y= 78-66.75
1.5y= 11.25
y= 11.25/1.5
y = 7.5
Substitute 7.5 for y in equation 1
2x + 3y = 44.50
2x + 3(7.5)= 44.50
2x + 22.5= 44.50
2x = 44.50-22.5
2x= 22
x= 22/2
x= 11
Hence the price of adult ticket is $11 and the price of children ticket is $7.5
Step-by-step explanation:
The density of a substance is 3.4 g cm-3. Its relative density relative to another substance is 2.0. what is the density of the second substance?
Answer: The density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]
Step-by-step explanation:
[tex]\text{Relative density }=\dfrac{\text{Density of substance}}{\text{Density of reference}}[/tex]
Given: Density of a substance is [tex]3.4 \text{ g cm}^{-3}[/tex] .
Its relative density relation to another substance = 2.0
Substitute all values in the formula , we get
[tex]2=\dfrac{3.4}{\text{Density of reference}}\\\\\Rightarrow\ {\text{Density of reference}=\dfrac{3.4}{2}\\\\\Rightarrow\ {\text{Density of reference}=1.7 \text{ g cm}^{-3}[/tex]
Hence, the density of the second substance = [tex]1.7\text{ g cm}^{-3}[/tex]
Simplify 5 to the power of negative 2 over 4 to the power of 6?
Answer:
Step-by-step explanation:
[tex]\frac{5^{-2} }{4^{6} } =\frac{1}{5^{2} 4^{6} }[/tex]
without using mathematical tables or calculators, evaluate (0.09×1.21)÷(3.3×0.00025)
Answer:
132
Step-by-step explanation:
you have to reduce the expression by solving 0.09 divided by 1.21 bc of the PEMDAS rule you do 1st parentheses first which is 0.1089 then do the second set of () which is 0.000825 then divide the 2 answers for 132
The length of a rectangle is 9cm more than four times the width. If the perimeter of the rectangle is 78 cm, what are its dimensions
Answer:
Length is 32. 6 cm and width is 5.9 cm
Step-by-step explanation:
width(w)=w
perimeter(p)=78 cm
length(L) = 4w+9
p=2L+2w
78=2(4w+9)+2w
78=8w + 19 + 2w
10w=59
w=5.9 cm
L=4w+9
L=4(5.9)+9
L=32.6 cm
Therefore length is 32.6 cm and width is 5.9 cm
-78 = -5a = 7
solve for a lol
87 i think Step-by-step explanation:
How do i solve 4x+3=35?
(I really appreciate everyones help )
Answer:
x=8
Step-by-step explanation:
1. Subtract the 3 from both side so the new equation states 4x=32
2. Divide both sides by 4 for the final answer of x=8
Answer:
That is the answer.Step-by-step explanation:
l hope it helps ❤❤❤5x - 25 < 15 solve plz
Answer:
8
Step-by-step explanation:
you have to add 25 on both sides then you get 5x<40 then you divide 40 by 5 and you get 8
hope this helps dont 4get to like and star
-mercury
A submarine started at the surface of the water and was moving at -15 meters per minute. The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor. What is the change in the submarine position?
Given :
A submarine started at the surface of the water and was moving at -15 meters per minute.
The submarine traveled at this rate for 48 minutes before coming to rest on the ocean floor.
To Find :
The change in the submarine position.
Solution :
We need to find the position of submarine position from the surface of water.
Distance travelled = Speed × Time
Distance travelled = -15 m/min × 48 min
Distance travelled = 720 m
Therefore, the position of submarine is 720 m below the surface of ocean.
what is the standard form of the equation? y=(x+2)^2-3
Answer:
Find the asymptotes.
Vertical Asymptotes:
x
=
−
2
Horizontal Asymptotes:
y
=
0
No Oblique Asymptotes
Solve -x > 8 or -x < 4.
{x | -12 < x < -6}
{x | x < -12 or x > -6}
{x | x > -12 or x < -6}
Answer:
-4 < x < -8
Step-by-step explanation:
Given solve -x > 8 or -x < 4.
Solve each inequality first
-x > 8
Divide both sides by -1
-x/-1 > 8/-1
x < -8
Also if -x < 4
Divide both sides by -1
-x/-1 < 4/-1
x > -4
Combine both inequality x < -8 and x > -4
-4 < x < -8
Hence the solution set is -4 < x < -8
Christian burns 4 1/2 calories in 2/3 if a minutes riding his bike. HOW MANY CALORIES WILL CHRISTAN BURN IN 1 MINUTE OF BIKE RIDING? SELECT THE CORRECT ANSWER.
Answer:
The answer is 6.75 calories or [tex]6 \frac{3}{4}[/tex]
Step-by-step explanation:
First, we need to find out how many calories per 1/3 minute.
4 1/2 divided by 2 = 2 1/4 or 2.25
2 1/4 or 2.25 x 3 = [tex]6 \frac{3}{4}[/tex] or 6.75 calories
Mark as Brainliest!
#LearnWithBrainly
Estimate 183 to the nearest integer.
Answer:
Step-by-step explanation:
1,83 x 10^2
Adam says that to find the total cost of the rice, you should multiply 3.5 by $1.89. Do you agree? Explain your reasoning.
Answer:
$6.615
Step-by-step explanation:
Okay, does the value 3.5 represent the quantity of rice bought?
Let us assume this answer is yes, then we can go ahead and estimate the cost of the rice as
Total Cost =1.89*3.5
Total Cost =$6.615
Please answer this for me!
6 X 10^-5 is how many times the value of 3 X 10^-8
Any number that has this, ^, beside it stands for upper score, meaning that it is has an exponent which is the number right after it.
And I already asked this question on here before but 4 some reason someone literally typed THEIR essay on Branches of Islam or something, and also something about Muslim religion. Where did that come from lol?
Answer:
= 4.4591 × 1010
(scientific notation)
= 4.4591^10
= 44.591 × 109
Its actually pretty hard, so I don't really want to show my explanations with words, but there is a number explanation. Sorry if this is wrong. It is pretty hard, since you asked lots of times, I tried to give it a go.
6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.
6 X 10^-5 is how many times the value of 3 X 10^-8 is to be determined.
Fraction is defined as the number of compositions that constitute the whole.
Let 6 X 10^-5 is x times the value of 3 X 10^-8.
[tex]6 * 10^{-5}= x 3 * 10^{-8}\\\\x = \frac{6 * 10^{-5}}{3 * 10^{-8}} \\\\x = 2 *10^3[/tex]
Thus, 6 X 10^-5 is 2*10^3 times the value of 3 X 10^-8.
Learn more about fractions here:
https://brainly.com/question/10708469
#SPJ2
is -7+9y+7=2x a direct variation and if so what is the constant?
Answer:
yes constant; 65
Step-by-step explanation:
What else is produced during the replacement reaction of magnesium and hydrochloric acid? Mg + 2HCl H2 + ________ MgCl2 Mg2Cl2 Mg2Cl MgCl
Step-by-step explanation:
Magnesium chloride (MgCl2).
Answer:a
A
Step-by-step explanation:
Edge 2021
What are the answers to these aswell mb?
Answer:
4 is D = 23
Step-by-step explanation:
the coefficient is the number before the letter
what is the result
Answer:
(3) [tex] \dfrac{P_1V_1}{V_2} [/tex]
Step-by-step explanation:
[tex] P_1V_1 = P_2V_2 [/tex]
Divide both sides by V2.
[tex] \dfrac{P_1V_1}{V_2} = P_2 [/tex]
[tex]P_2 =\dfrac{P_1V_1}{V_2}[/tex]
The measurement of the “ridge” of your new house on blueprints is 24 inches. If the scale is 1/4 = 1ft how long is the wall in real life
Answer:
In real the wall will be: 96 ft
Step-by-step explanation:
Given that the scale is
1/4 = 1ftIt means 1 inch will represent 4 ft.
so
1 inch = 4ft
Given that the measurement of the “ridge” of your new house on blueprints is 24 inches.
Thus,
24 inches = 24 × 4ft ∵ 1 inch = 4ft
= 96 ft
Therefore, in real the wall will be: 96 ft
Given the quadratic equation ax2 + 10x + 2 = 0, determine all values of a that will result in this equation having non-real solutions. Show all work that leads to your answer.
Answer:
a>12.5.
Step-by-step explanation:
you need to look at the discriminant in the quadratic formula:
[tex]b^{2} -4ac[/tex]
coming from the quadratic polynomial
[tex]ax^{2} +bx+c=0[/tex]
In our case, b=10 and c=2, hence, the discriminant is
[tex]10^2-4*a*2 \\100-8a[/tex]
We will obtain non-real values if the discriminant is less than zero.
Therefore, this condition is written as
[tex]100-8a<0[/tex]
and we must solve for a. It yields
[tex]100<8a\\a>\frac{100}{8} \\a>12.5[/tex]
Hence, the answer is a>12.5.
The values of a that will result in this equation having non-real solutions must e greater than 12.5
Given the quadratic equation ax^2 + 10x + 2 = 0
For the equation to have non-real solutions, then b^2 - 4ac < 0
From the given equation;
a = a
b = 10
c = 2
Substitute the given parameters into the formula;
10^2 - 4a(2) < 0
100 - 8a < 0
-8a < -100
8a > 100
a > 12.5
Hence the values of a that will result in this equation having non-real solutions must e greater than 12.5
Learn more here: https://brainly.com/question/1214333
What is the median?
59
65
56
60
55
54
62
66
68
Answer:
The answer is 60
Step-by-step explanation
54
55
56
59
60 The middle number
62
65
66
68
Answer:
60
Step-by-step explanation:
"Median in the middle"
put the set of numbers in order from least to greatest. If you end up having an even amount of numbers in the set, you add the two numbers in the middle then divide by 2 to find the median.
54, 55, 56, 59, 60, 62, 65, 66, 68
55, 56, 59, 60, 62, 65, 66
56, 59, 60, 62, 65
59, 60, 62
60
Please help me I am in a hurry to go somewhere so please help quick
Three sisters are each less than 45 years old. The mode of their ages is 35. The range is 14. What is the mean of their ages? The median?
a.
29.7; 35
c.
35; 30.3
b.
30.3; 28
d.
30.3; 35
Please select the best answer from the choices provided
sorry about the answer choices being mixed up im still in a hurry
Answer:
I'm so sorry I don't know this answer but good luck
Answer: since it doesn't tell you how you get it.
Since the mode of the ages is 35 we know that at least two of the ages are 35. Since the range is 14 we know the third sister is not also age 35. Let x be the age of the third sister. Then we know either 35 - x = 14 or x-35 = 14 (depending if x is younger or older, respectively). Solving both of these gives x = 21 or x = 49. But all the sisters are under the age of 45, so x = 21. Hence, the ages of the sisters are
21, 35, 35.
So, the mean is (35+35+21)/3 = 91/3 =~ 30.3333 ...
The median is 35.
What is 6/2(1+2)=?
E
X
P
L
A
I
N
If you don't explain u won't get brainliest.
Answer:
Answer is 9
Step-by-step explanation:
Remember PEMDAS???
"parenthesis, exponents, multiplication, division, addition, subtraction"
you would first solve the addition inside of the parentheses (1 + 2 = 3), and from there finish the equation as it's written from left to right.
Answer:
9
Step-by-step explanation:
First, we have to solve inside the parentheses because of PEMDAS or GEMDAS, whichever you know. When we add 1+2 we get 3 inside the parentheses and it looks like this: 6/2(3).
Then, we have to divide 6 by 2 before we do anything else. When we divide 6/2, we get 3 and it will look like this: 3(3).
Finally, we have to multiply 3 by 3 because when something is in parentheses, you have to multiply it by the number right before it (next to it). Once we multiply 3*3, we will get our answer of 9.
(sorry if this is confusing but I hope it helped anyway)
this is a rational equation i don't understand lol
-2 1/4 = 2w
Answer:
[tex]w=-9/8[/tex]
Step-by-step explanation:
We are given the equation [tex]-2 \frac{1}{4} = 2w[/tex]. To solve this equation, we can divide both sides by 2 to get that [tex]w = -2\frac{1}{4} \div 2 = -\frac{9}{8}[/tex].
Answer:
w = - [tex]\frac{9}{8}[/tex]
Step-by-step explanation:
Given
- 2 [tex]\frac{1}{4}[/tex] = 2w ( change the mixed number to an improper fraction )
- [tex]\frac{9}{4}[/tex] = 2w ( multiply both sides by 4 to clear the fraction )
- 9 = 8w ( divide both sides by 8 )
- [tex]\frac{9}{8}[/tex] = w
Helppppppppp pleaseee ASAP
Answer:
3
Step-by-step explanation:
Given that:
Larger square is a dilation of smaller square
Dimension of smaller square (5 - 3) units by (5 - 3) units = 2 by 2
Dimension of larger square (7 - 1) units by (7 - 1) units = 6 by 6
Hence, the scale factor used to create the larger square from the smaller square will be:
Scale factor (x) * side of smaller square = side of larger square
x * 2 = 6
2x = 6
x = 6/2
x = 3
Hence, scale factor used to generate larger square is 3
HELP NOW PLEASEEE
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test. Each adult bike requires 6 hours to build and 4 hours to test. With the number of workers, the company is able to have up to 120 hours of building time and 100 hours of testing time for a week. If c represents child bikes and a represents adult bikes, can the company build 10 child bikes and 12 adult bikes in a week. (2 points)
No, because the bike order does not meet the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
No, because the bike order does not meet the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 6a ≤ 120 and 4c + 4a ≤ 100
Yes, because the bike order meets the restrictions of 4c + 4a ≤ 120 and 6c + 4a ≤ 100
Find each Of change. Round to the nearest whole percent if necessary. State whether the percent Of change is an increase or 1. Original; 5. Original: Cm • Chqter 2. Original: new: 1.3 6. Original; 160 new: 136 g. Original; 15 new : 12 7. Original: 7, 7 new: 10 , 5 4. Original: $30 new: $18 8. Original: 9.6 new: 5.9 31
Answer:
1. The percentage change is 74% and it is a percentage decrease
2. The percentage change is 15% and it is a percentage decrease
3. The percentage change is 20% and it is a percentage decrease
4. The percentage change is 43% and it is a percentage increase
5. The percentage change is 40% and it is a percentage decrease
6. The percentage change is 39% and it is a percentage decrease
Step-by-step explanation:
Given
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]2.\ Original = 160; New = 136[/tex]
[tex]3.\ Original = 15; New = 12[/tex]
[tex]4.\ Original = 7; New = 10[/tex]
[tex]5.\ Original = $30; New = $18[/tex]
[tex]6.\ Original = 9.6; New = 5.9[/tex]
Required
Determine the percentage change and state whether it's an increase or decrease
Percentage change is calculated as:
[tex]\%Change = \frac{New - Original}{Original} * 100\%[/tex]
[tex]1.\ Original = 5; New = 1.3[/tex]
[tex]\%Change = \frac{1.3 - 5}{1.3} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}5} * 100\%[/tex]
[tex]\%Change = \frac{-3.7 * 100\%}{5}[/tex]
[tex]\%Change = \frac{-370\%}{5}[/tex]
[tex]\%Change = -74\%[/tex]
The percentage change is 74% and it is a percentage decrease
[tex]2.\ Original = 160; New = 136[/tex]
[tex]\%Change = \frac{136 - 160}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24}{160} * 100\%[/tex]
[tex]\%Change = \frac{-24 * 100\%}{160}[/tex]
[tex]\%Change = \frac{-2400\%}{160}[/tex]
[tex]\%Change = -15\%[/tex]
The percentage change is 15% and it is a percentage decrease
[tex]3.\ Original = 15; New = 12[/tex]
[tex]\%Change = \frac{12- 15}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3}{15} * 100\%[/tex]
[tex]\%Change = \frac{-3* 100\%}{15}[/tex]
[tex]\%Change = \frac{-300\%}{15}[/tex]
[tex]\%Change = -20\%[/tex]
The percentage change is 20% and it is a percentage decrease
[tex]4.\ Original = 7; New = 10[/tex]
[tex]\%Change = \frac{10- 7}{7} * 100\%[/tex]
[tex]\%Change = \frac{3}{7} * 100\%[/tex]
[tex]\%Change = \frac{3* 100\%}{7}[/tex]
[tex]\%Change = \frac{300\%}{7}[/tex]
[tex]\%Change = 43\%[/tex] -- (approximated)
The percentage change is 43% and it is a percentage increase
[tex]5.\ Original = $30; New = $18[/tex]
[tex]\%Change = \frac{18- 30}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12}{30} * 100\%[/tex]
[tex]\%Change = \frac{-12* 100\%}{30}[/tex]
[tex]\%Change = \frac{-1200\%}{30}[/tex]
[tex]\%Change = -40\%}[/tex]
The percentage change is 40% and it is a percentage decrease
[tex]6.\ Original = 9.6; New = 5.9[/tex]
[tex]\%Change = \frac{5.9- 9.6}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7}{9.6} * 100\%[/tex]
[tex]\%Change = \frac{-3.7* 100\%}{9.6}[/tex]
[tex]\%Change = \frac{-370\%}{9.6}[/tex]
[tex]\%Change = -39\%[/tex] -- (approximated)
The percentage change is 39% and it is a percentage decrease
I need help, please
Answer:
C
Step-by-step explanation:
12^2 = 144, 9^2 = 81, and 15^2 = 225.
144 + 81 = 225, therefore a^2 + b^2 = c^2.
-2.49 = -5 + x
please solve for x ;)
Answer:
x=2.51
Step-by-step explanation:
-2.49=-5+x
-5+x=-2.49
-5+x+5=-2.49+5
x=2.51
Triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″. If vertex P is at (3, -4) and vertex Q is at (5, -1), what are the coordinates of vertices P″ and Q″?
Answer:
Answer: The correct option is (D) P″(9, -12) and Q″(15, -3).
Step-by-step explanation: Given that triangle PQR is dilated by a scale factor of 1.5 to form triangle P′Q′R′. This triangle is then dilated by a scale factor of 2 to form triangle P″Q″R″.
The co-ordinates of vertices P and Q are (3, -4) and (5, -1) respectively.
We are to find the co-ordinates of the vertices P″ and Q″.
Case I : ΔPQR dilated to ΔP'Q'R'
The co-ordinates of P' and Q' are given by
Case II : ΔP'Q'R' dilated to ΔP''Q''R''
The co-ordinates of P'' and Q'' are given by
Thus, the co-ordinates of the vertices P'' and Q'' are (9, -12) and (15, -3).
Option (D) is CORRECT.
Step-by-step explanation: