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:
Larry is 8 years older than his sister. Two times Larry's age is five more
than three times his sister's age. How old is Larry now?
Answer:
larry is 19
Step-by-step explanation:
ok, so larry's age is y, his sisters age is x
x + 8 = y
thats the equation for him being 8 years older
now 2y = 3x + 5
his sisters age is 3x + 5 to get larry's age when its doubled
substitute x + 8 in for y
2 (x+8) = 3x + 5
2x + 16 = 3x + 5
16 = x + 5
x = 11
11 + 8 = y
y = 19
Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 2/3?
Answer:
Line C
Step-by-step explanation:
slope
Answer:line c
Step-by-step explanation:
If an object on earth weighs 42 lbs, what is its weight on the moon?
Answer:
6.93 lbs.
Step-by-step explanation:
The weight on the moon is approximately 16.5% of what you would weigh on Earth. Using this information, we can say that 16.5% of 42 lbs would equal how much the object would weigh on the moon.
I prefer to convert percentages the decimal way, so let's do it that way. 16.5% is 0.165 as a decimal, so now all we have to do is multiply 0.165 by 42 (since we are saying 16.5% of 42 lbs), and we get 6.93 lbs.
Hope this helps! :)
What is the answer to the question?
Help help help help me
This is very important (◕દ◕)
9514 1404 393
Answer:
C) √3
Step-by-step explanation:
The repeating decimals are both single digits, beginning at the decimal point. So, their equivalent is that digit divided by 9:
[tex]0.\overline{4}=\dfrac{4}{9}\\\\0.\overline{9}=\dfrac{9}{9}=1[/tex]
This means the given expression can be simplified to ...
[tex]\dfrac{3\sqrt{0.\overline{4}}+\sqrt{0.\overline{9}}}{\sqrt{3}}=\dfrac{3\sqrt{\dfrac{4}{9}}+\sqrt{\dfrac{9}{9}}}{\sqrt{3}}=\dfrac{3\cdot\dfrac{2}{3}+1}{\sqrt{3}}=\dfrac{3}{\sqrt{3}}=\boxed{\sqrt{3}}[/tex]
Which graph represents a relation that is also a function?
( look at the graph and help me pls )
100 POINTS BRAINLIEST IF CORRECT!!!!!!!!
Mario's school bus drove forward 225 feet and then went backward for 70 feet. Which of the following statements about the bus are true? Select all that apply.
A.The total change in position is represented by a negative number.
B.The total change in position is represented by a number with a magnitude of 155 feet.
C.The position of the bus is represented by the expression 225 - 70.
D.The direction is represented by a positive number.
Answer:
B
Step-by-step explanation:
The total change in position is represented by a number with a magnitude of 155 feet.
Hope this helps!
xoxo,
cafeology
NEED ANSWER ASAP PLEASE TYSM
Answer:
1
Step-by-step explanation:
the answer to this question is 1, you need to multiply all sides together to get the volume (5/4)(4/3)(3/5) is one
hopefully this is right
Complete the explanation of how an estimate helps you to place the decimal point when multiplying 1.8 × 5.4.
13 was subtracted form a number and that difference was then divided by 5. After which, that quotient was multiplied by 7. The resulting product was -7. What was the number?
Answer:the number is 8
Step-by-step explanation:
Step 1
Let x be the number 13 was subtracted from so that the difference becomes x-13
i. dividing the resulting difference by 5, then (x-13)/5
ii. Multiplying the quotient by 7 makes the expression become (x-13)/5 x 7
with the product coming to -7 we have our final equation as
(x-13)/5 x 7 = -7
Step 2 -----solving the equation
(x-13)/5 x 7 = -7
Ist divide both sides by 7,
(x-13)/5 =-1
cross multiplying gives
x-13=-5
x= -5+ 13
x=8
the number is 8
A room is 12m 15m long and 8m 91 cm broad .The floor of the room is tobe paved with squared tiles find the lenght of the largest tile that can be used
Answer:
81 cm
Step-by-step explanation:
Length of a room = 12m 15cm
Width of a room = 8 m 91 cm
12 m 15 cm = 1200 cm + 15 cm = 1215 cm
8 m 91 cm = 800 cm + 91 cm = 891 cm
The floor of the room is tobe paved with squared tiles. We need to find the length of the largest tile that can be used.
To find it we can find the HCF of 1215 cm and 891 cm.
Prime factorization of 1215 = 3 x 3 x 3 x 3 x 3 x 5
Prime factorization of 891 = 3 x 3 x 3 x 3 x 11
HCF = 3 x 3 x 3 x 3
= 81
Hence, the length of the largest tile that can be used is 81 cm.
1/2% of 412
with work
Answer:
1.5% x 412 = 618?
Step-by-step explanation:
Answer:
103/50
Step-by-step explanation:
Simplify
1/2
100
(412)
xx squared - XY + x squared - xy
Answer and Step-by-step explanation:
[tex]x^{2} - xy + x^{2} -xy\\\\2x^{2} -2xy[/tex]
This is the answer.
In case your expression is:
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]x^2\:-\:xy\:+\:x^2\:-\:xy=x^2+x^2-xy-xy[/tex]
Add similar elements: x²+x² = 2x²
[tex]=2x^2-xy-xy[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=2x^2-2xy[/tex]
Thus,
[tex]x^2-xy+x^2-xy=2x^2-2xy[/tex]
In case your expression is:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Solution:
Given the expression
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy[/tex]
Group like terms
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-xy-xy+\left(xx\right)^2[/tex]
Add similar elements: -xy-xy = -2xy
[tex]=x^2-2xy+\left(xx\right)^2[/tex]
as (xx)² = x⁴
so [tex]=x^2-2xy+x^4[/tex]
Therefore, we conclude that:
[tex]\left(xx\right)^2\:-\:xy\:+\:x^2\:-\:xy=x^2-2xy+x^4[/tex]Given vectors u = ⟨–3, 2⟩ and v = ⟨2, 1⟩, what is the measure of the angle between the vectors? 7.1° 60.3° 119.7° 172.9°
Answer:
C) 119.7°
Step-by-step explanation:
got it right on edge :)
f(x) = 2\3x -6 identifiy 0
What is the slope of the line that passes through the points (-3, -3) and (-9, 5) Write your answer in simplest form.
Step-by-step explanation:
The slope of the line is -4/3.
I need help
(practice quiz)
Answer
slight
Step-by-step explanation:
But Never zero
Which equation best represents the data shown in the scatter plot below?
Answer:
y=3/2x+3
Step-by-step explanation:
Answer:
y=3/2x+3
Step-by-step explanation:
Determine the domain of the following graph:.....
Domain: possible x values
Between -10 and 6
Solution: -10 < x < 6
A case of tacks weighs 1.29 kilograms. There are 7 boxes in each case, each box having the same weight. How much does each box weigh?
Answer:
Each box weighs 0.18 kilogram.
Step-by-step explanation:
We can do proportions to solve.
[tex] \frac{1.29 \: kilograms}{7 \: boxes} = \frac{x}{1 \: box} \\ \\ \frac{7x}{7} = \frac{1.29}{7} \\ \\ x = 0.18 \\ x = 0.18 \: kilogram[/tex]
which table of values can be defined by the function y = 4x - 2
Answer:
x y
-4 -18
-2 -10
0 -2
2 6
4 14
Step-by-step explanation:
The average rainfall in inches in Miami from January to May is 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68 while it is 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69 during the same period in Tampa. Which city gets more rain and how much more?
Answer:
Miami gets 6.12 inches more rainfall.
Step-by-step explanation:
Given that the average rainfall (in inches) in Miami for 5 months are 1.61, 2.24, 2.99, 3.15, 5.35, and 9.68,
So, the total rainfall in Miami in 5 months,
R_M = 1.61 +2.24 +2.99 +3.15 +5.35 + 9.68 = 25.02 inches
and the average rainfall (in inches) in Tampa for 5 months are 2.24, 2.8, 3.03, 2.05, 2.09, and 6.69.
The total rainfall in Tampa in 5 months,
R_T = 2.24 +2.8 +3.03 + 2.05 + 2.09 + 6.69 = 18.9 inches.
The difference between the total rainfall in Miami and Tampa is 25.02-18.9= 6.12 inches.
The total rainfall in Miami is 25.02 inches while the total rainfall in Tampa in the same time period is 18.9 inches.
Therefore, Miami gets 6.12 inches more rainfall during the same time period.
PLEASE HELP ME 15 POINTS ILL HIVE BRAINIEST
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
Answer:
209.95
Step-by-step explanation:
How many years will it take an investment to double at 6.4% compounded monthly? (Round to the nearest tenth))
Answer:
Number of Years to Double= 10.62 years
Step-by-step explanation:
First, we need to calculate the real annual interest rate:
Real annual interest rate= {[(i/12)+1]^12} - 1
Real annual interest rate= [{(0.064/12) + 1]^12 - 1}
Real annual interest rate= 0.0659
Now, we need to use the rule of 72. The rule of 72 is a means of estimating the number of years it takes for an investment or your money to double.
Number of Years to Double= 70/Annual Rate of Return
Number of Years to Double= 70/6.59
Number of Years to Double= 10.62 years
Answer this Question plz and thank you and don’t forget to explain your answer because that’s what I need
Answer:
decrease
12%
Step-by-step explanation:
the number went down
3.499*0.88=3.097
so 12% decrease in price
7th grade math help me pleaseee
no, -6+2= -4
not -6 +(-2)
Avril wrote the expression 4(x + 3) to represent the area of a rectangle. Which expression is an equivalent representation of the area?
А
4x + 3
B
x(4+3)
С
4x + 12
D
3(x + 4)
Answer:
It is 4x + 12
Can someone answer for E please? This is my 34th question and this is probably easy but my brain cant handle any more. Will mark brainliest
Step-by-step explanation:
4/3 = -6e - 5/3
6e = -4/3 - 5/3
6e = -9/3 = -3
e = -0.5
Answer:
The equation is always false
Step-by-step explanation:
Quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. vertex A is at (-5,2) , and vertex A' is ay (2,-2), quadrilateral ABCD is translated blank..... if vertex B is at (-6,5), then vertex B is at
Answer:
(-1,3)
Step-by-step explanation:
Given that the quadrilateral ABCD is translated to get quadrilateral A'B'C'D'. The vertex A is at (-5,2) is translated to vertex A' is at (2,-2).
The translation is x-direction, a, is the difference of x-coordinates of both the points, a=2-(-5)=2+5=7.
The translation is y-direction, b, is the difference of y-coordinates of both the points, b = -2-2 = -4.
As all the points are translated by the same magnitude as well as in the same direction, so by adding a to x and b to y coordinate of any points, the translated point can be determined.
The vertex of point B is (-6,5), so, the vertex of the point B' would be (-6+a, 5+b)=(-6+7, 5+(-4))=(-1,3).
Hence, the vertex of point B' is (-1,3).
Annabeth has $29.00 to spend at the sporting goods store. She buys a T-shirt that costs $15.32. She also wants to buy a soccer ball for $12.87, a baseball cap for $8.39, a set of shin guards for $14.98, or a water bottle for $5.93. Use the equation $15.32 + c = $29.00, where c is the item cost, to select the most expensive item she can buy. A. 00:00 soccer ball B. 00:00 baseball cap C. 00:00 shin guards D. 00:00 water bottle
Answer:
B. Baseball cap
Step-by-step explanation:
Given that:
Total money available with Annabeth = $29.00
Amount at which T-shirt was bought = $15.32
Things that Annabeth wants to buy:
Soccer ball for the price of $12.87 or
Baseball cap for the price of $8.39 or
Set of shin guards for the price of $14.98 or
Water bottle for the price of $5.93
The equation that can be used to find the cost of most expensive item with the remaining amount of money:
$15.32 + [tex]c[/tex] = $29.00
[tex]\Rightarrow c = 29 - 15.32\\\Rightarrow c= \$13.68[/tex]
Cost of items that can be bought in the decreasing order is:
Cost of pair of shin guards ( $14.98 ) > Cost of soccer ball ( $12.87 ) > Cost of baseball cap ($8.39) > Cost of water bottle ( $5.93 )
The most expensive item that can be bought is the Soccer ball at $12.87.
Answer is:
B. Soccer ball
Cost of shin guards is more than the amount of money remaining.
kolik má čtverec rohů
Answer:
4
Step-by-step explanation: