Answer: The cost of a child ticket is $30
Step-by-step explanation:
Let's define the variables:
A = price of an adult ticket
C = price of a child ticket
We know that:
"The Sandoval family paid $180 for 2 adult tickets and 3 child tickets to an amusement park."
This means that:
2*A + 3*C = $180
and
"The Martinez family paid $105 for 1 adult and 2 child tickets to the same park."
This means that:
1*A + 2*C = $105
Then we have a system of equations:
2*A + 3*C = $180
1*A + 2*C = $105
To solve this, the first step is to isolate one variable in one of the equations, i will isolate A in the second equation:
A = $105 - 2*C
Now we can replace this in the other equation:
2*($105 - 2*C) + 3*C = $180
Now let's solve this for C, the price of a child ticket.
2*($105 - 2*C) + 3*C = $180
$210 - 4*C + 3*C = $180
$210 - C = $180
-C = $180 - $210
-C = - $30
C = $30
The cost of a child ticket is $30
2.
A park in the shape of a rectangle is 18 miles long and 24 miles wide. How much shorter is your walk
if you walk diagonally across the park instead of along the two sides of it?
Answer:
18² + 24² = x²
900 = x²
x = 30
18 + 24 = 42
42 - 30 = 12
Its shorter for 12 miles
Answer:
12 miles less
Step-by-step explanation:
18+24=42
If you walk in a L shape you walk 42 miles
If you walk diagonally:
ABC Right triangle
We have A and B (18 and 24)
Using the pythagorum theorem
a^2+b^2=c^2
18^2+24^2=C^2
324+576=C^2
900=C^2
Square root of 900=C
30=C
You would walk 30 miles
42-30=12
By walking diagonally, you would walk 12 miles less than going all the way around.
What is the equation of the line that passes through the point (-6,1) and has a slope of 1/6
Answer:
y = 1/6x + 2
Also:
Mark brainliest if this helped plz :)
I need help ASAP can someone please please help me with my questions! I will give brainiest!
Answer: 3mn^2.
Step-by-step explanation: GCF stands for Greatest Common Factor, as you know. The greatest common factor of 75 and 27 is 3. For the rest, we just use the smallest values. Thus, the answer is 3mn^2.
The float committee made a scale model of their float before they started construction. The float committee used the scale 1 inch: 3 feet to create their model. The actual float will be 18 feet long. What is the length of the scale model float in inches? Enter your answer in the box.
Answer:
6
Step-by-step explanation:
Answer:
6 Inches
Step-by-step explanation:
5n + 20 -10 + 15n=50
Solve for the variable
Step-by-step explanation:
2n is the answer because you combined the two variables then you do 20n plus 20n minus. 10 equals 50 then subtract 10 from 50 and get forty the divide that by 20 which equals 2
Write an inequality to represent the graph. у -5 3 2- x -5 4 3 2 0 2 5 6 8 -2 -3 -5 (3,5) -6- (0,7) -8 -9 -10
answers:
y ≥ 2/3 x -7
y ≤ 2/3 x -7
y ≥ 3/2 x -7
y ≤ 3/2 x -7
Answer:
3rd one I think
Step-by-step explanation:
How much money did Joseph earn after mowing 4 lawns?
Answer: it just depends on how much each lawn pays him
shortest to longest
help
Answer:
C,B,A
Step-by-step explanation:
I figured this out because 90% of angles go clockwise so all you have to do is this....
C) 61-60 = 1
B) 60-59 = 1
A) 61-59 = 2
Hope this helps! :)
Tell me if I am correct! :)
Who knows how to find slopes when given a table ?
Answer:
Do carrots y divided by the x
Step-by-step explanation:
The terms coefficients and constants of 5z 6 and y2
Answer:
???????
Step-by-step explanation:
sorry I don't no
how do you graph x - y < 4
Answer: y > -4 + x
Step-by-step explanation: graph the inequality by finding the boundary line
Answer:
y > -4 + x
***(see graph below)****
Step-by-step explanation:
Graph
x − y < 4
Solve for y
Subtract x from both sides of the inequality.
−y < 4 − x
Multiply each term in −y < 4 − x by −1
Multiply each term in −y < 4 − x by −1. When multiplying or dividing both sides of an
inequality by a negative value, f lip the direction of the inequality sign.
(−y) ⋅ −1 > 4 ⋅ −1 + (−x) ⋅ −1
Multiply (−y) ⋅ −1.
Multiply −1 by −1.
1y > 4 ⋅ −1 + (−x) ⋅ −1
Multiply y by 1.
y > 4 ⋅ −1 + (−x) ⋅ −1
Simplify each term.
Multiply 4 by −1.
y > −4 + (−x) ⋅ −1
Multiply (−x) ⋅ −1.
y > −4 + x
Find the slope and the y-intercept for the boundary line.
Rewrite in s lope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is the y-intercept.
y = mx + b
Reorder −4 and x. y > x − 4
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y = mx + b. m = 1
b = −4
The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 1
intercept: (0, −4)
Graph a dashed line, then shade the area above the boundary line since y is greater than −4 + x. y > −4 + x
here is a better picture
HELPP ME PLZZZZZ ZMZNSNMSMSMS
Answer:
Step-by-step explanation:
y=3/4x-2
Answer:
y=3/4x-2
Step-by-step explanation:
slope-intercept formual: y = mx + b
m (the slope) = (y2-y1) / (x2-x1) so right here we insert (4-1) / (8-4) = 3/4
b =w here the line touches the y-asix = -2
now insert those numbers in the formual: y = (3/4)x + (-2)
final answer: y=3/4x-2
29 - (-10n) = -18n + 91
Answer:
31/14
Step-by-step explanation:
1. 29+10n = -18n+91
2. 28n = 62
3. n = 62/28 = 31/14
Answer: 31/14 or 2.214
Step-by-step explanation: Pic attached. Hope this helps. Sorry for the bad handwriting, I'm writing with a mouse.
Manuela solved the equation below.
2 (x + 2) = x minus 4
What is the solution to Manuela’s equation?
–8
0
no solution
infinitely many solutions
Answer: the answer is really -8 (A)
Step-by-step explanation: because how do 0 make since u can't divide 3x and -8
Answer:
A
Step-by-step explanation:
What is..
2 1/3
x 4 3/5
Answer:
10 11/15... If you need to simplify it then ask again.. I will try to help.
Step-by-step explanation:
Hope this helped!!
its not the right answer
Write an algebraic expression for the word phrase.
10 times the product of g and h
Answer:
10(g*h)
Step-by-step explanation:
the * is supposed to mean times/multiply
since it is an expression you do not put y= or f(x)= or anything like that
Answer:
10(g*h)
Step-by-step explanation:
"Product" means multiply so you would want to multiply g and h together. You put it in parenthesis because you want to multiply the solution you get from multiplying g and h by 10. To show this, you can simply just put the 10 in front of the parenthesis as that implies multiplication.
Given L9 = L13
Which lines, if any, must be parallel based on the given
information? Justify your conclusion.
O c || d. Converse of the Same-Side Interior Angles
Theorem
O a || b. Converse of the Alternate Interior Angles
Theorem
O c || d. Converse of the Corresponding Angles
Theorem
O not enough information to make a conclusion
Mary Jane made 140 cupcakes for the sixth grade classes at Oak School. She frosted 3/5 of the cupcakes with caramel icing and put
sprinkles on 1/2 of those cupcakes. How many caramel cupcakes had sprinkles?
A)
38 cupcakes
B)
42 cupcakes
C)
44 cupcakes
D)
46 cupcakes
Answer:
B). 42 cupcakes
Step-by-step explanation:
3/6= 0.6
1/2= 0.5
140*0.6=84
84*0.5=42
18 more than twice a number is 8
Answer:
-5
Step-by-step explanation:
-5 times 2 is -10 plus 18 is 8
Cameron is trying to ear eleven dollars for some new toys. If he charges three dollars to mow a lawn how many lawns will he need to mow to earn the money
Answer:
Cameron need to mow 4 lawns.
Step-by-step explanation:
Cameron needs 11$ for some new toys.
But he charges 3$ to mow a lawn.
So, he needs to mow 11/3= 3.66... lawns
The number of lawns can not be decimal. So, let's round to next whole number as 4.
Janice bought 28 apps for her phone that, altogether used 1,348 MB of space. If each app used the same about of space, about how many MB of memory did each app use?
Answer: 48.12 MB
1348÷28=48.12(rounded to the nearest hundredths)
I hope this is good enough:
I need help on this help me pls
Answer:
C. 8x6^2
Step-by-step explanation:
Calculate the value.
A candle has been burning for 20 min and is now 25 cm tall. In an hour it will be 10 cm tall. Which equation models the height y of the candle in centimeters, x minutes after it was lit?
Answer:
(y - 25) = - 0.25(x - 20)
Step-by-step explanation:
Given that :
Height of candle after burning for 20 minutes = 25 cm
Height after burning for 1 hr (60 minutes) = 10 cm
Height (y) in cm of candle x minutes after being lit:
Using the equation :
(y - y1) = m(x - x1)
m = (change in y / change in x)
Change in height within 60 minutes :
Height at 20 minutes = 25cm
Height after an hour = 10
Change in height per hour = (25 - 10) = 15cm
Hence, m = change in height per minute
15cm / 60 = 0.25cm ( - 0.25) (decrease in height)
y1 = 25 ; x1 = 20
(y - y1) = m(x - x1)
(y - 25) = - 0.25(x - 20)
What’s the answer to this question if your right I’ll keep giving you points
Answer:
x = 17
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180, that is
6x - 15 + 4x - 7 + 2x - 2 = 180, that is
12x - 24 = 180 ( add 24 to both sides )
12x = 204 ( divide both sides by 12 )
x = 17
On average, light emitted from the Sun takes minutes seconds to reach Earth. Using your approximated speed of light from part (b), as well as the equation distance = rate x time, calculate the approximate distance from the Earth to the Sun in meters. Write your answer in standard form and in scientific notation.
Complete question :
On average, light emitted from the Sun takes 8 minutes 19 seconds to reach Earth. Using your approximated speed of light from part (b), as well as the equation distance = rate x time, calculate the approximate distance from the Earth to the Sun in meters. Write your answer in standard form and in scientific notation.
Answer:
1.497 * 10^8km
149700000 km
Step-by-step explanation:
Given that:
Time taken = 8 minutes 19 seconds
Speed of light = 3 * 10^8 m/s
Distance from earth to sun :
Speed * time
(3 * 10^8) * ((8 * 60) + 19)
(3 * 10^8) * 499
= 1497 * 10^8 m or 1497 * 10^5 km = 1.497 * 10^8km
= 149700000000 m
= 149700000 km
= 1497
What is the contrapositive of the following conditional?
If the Crawford Mustangs do not win the championship, then people do not celebrate.
Answer:
To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain."
♡ ∩_∩
（„• ֊ •„)♡
┏━∪∪━━━━┓
♡ hope it helps。 ♡
┗━━━━━━━
Step-by-step explanation:
Two friends are reading books. Jimmy reads a book with 21,356 words. His friend Bob reads a book with one-and-a-half times as many words. Which expression represents the number of words Bob reads?
Answer:
21,356 x one and one half
Step-by-step explanation:
Answer:
1 & 1\2 x 21,356 = the number of words Bob reads.
Step-by-step explanation:
1 & 1\2 times of 21,356 words.Write the expression using the multiplication sign (x) or 'of' in the middle.
(I hope it'll help.)
Jenna has one more logic puzzle to solve!
Write a system of equations to represent this puzzle, using b to represent the value of each book and m to represent the value of each music note. Then solve the system for b and m.
Type the correct answer in each box. Use numerals instead of words.
The value of each book is
.
The value of each music note is
.
Answer:
The value of each book is 7
The value of each music note is 6
Step-by-step explanation:
The first equation includes the sum of 3 books and 2 music notes, so 3b + 2m = 33.
The second equation includes the sum of 1 book and 3 music notes, so b + 3m = 25.
This is the system that represents the puzzle:
3b + 2m = 33
b + 3m = 25
Solve the second equation for b, and then substitute the equivalent expression for b in the first equation. The value of each music note is 6.
Then, Substitute the value of m into one of the original equations to find the value of b . The value of each book is 7.