Answer:
A.
Step-by-step explanation:
The entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.
What is a system of equations ?
A system of equations is a set or collection of equations that you deal with all together at once.
It is given that :
The total entrance fee for a group of 4 adults and 3 children = $220
and
The total entrance fee for a group of 2 adults and 1 child = $98
Let's assume that the entrance fee for an adult is x and entrance fee for a child is y.
So , the equations can be written as :
4x + 3y = $ 220 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 1
2x + y = $ 98 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 2
Now , multiply equation 2 by 2 :
4x + 2y = $ 196 --- --- --- --- --- ---- ---- ---- ------ ----- ----Equation 3
Subtracting equation 3 from equation 1 , we get :
(4x - 4x) + (3y - 2y) = $220 - $ 196
y = $24
or entrance fee of a child is $24.
Now , substituting the value of y in equation 1 , we get :
4x + 72 = $220
4x = 148
x = $37
or entrance fee of an adult is $37.
Therefore , the entrance fee of an adult is equal to $37 and the entrance fee of a child is equal to $24.
Learn more about system of equations here :
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30+1+0.5+0.02 in standard form pls answer stat
Answer:
31.52
Step-by-step explanation:
Just add them...
It won't let me delete sorry thats what someone told me was standard form was
Pls help me with this question and explain thx!!
Answer: 50 pages (not sure) but I hope that still made sense though
Step-by-step explanation:
30% of 15 equals 50
15/30%=50
What is the surafce area of a cube with an edge length of 8 inches...QUICKKKK
Answer:
A=384in²
Step-by-step explanation:
A=6a2=6·82=384in²
find the answer for the question below
Answer: 16.25 or 16 1/4 miles a week
Step-by-step explanation:
Since the route is 3.25 miles long, and chloe and corinne ride the route 5 times a week, we can use the equation 3.25 x 5 to get to our solution.
3.25 x 5 = 16.25
The function t(x) = 4x -2 determines how many cans of vegetables a food truck needs to stock on board, where x is the number of shifts the crew is going to work in the truck. The crew uses c(t(x)) to find the amount of money to spend on vegetables. The function c(x) = x + 9. Solve for how much money must be spent when the crew is going to work 2 shifts.
Answer:
[tex]t(x) = 4x - 2 \\ c(x) = x + 9 \\ c(t(x)) = (4x - 2) + 9 \\ = (4(2) - 2) + 9 \\ = 8 - 2 + 9 \\ = 6 + 9 = 15[/tex]
please solve !!!! asap );
Answer:
<7 58
<5 47
<6 75
<4 107
<8 73
<9 49
all triangles add up to 180 and all lines add up to 180
The answer to this question that I’ve been stuck on for a long time
Answer:
x = -3/2
Step-by-step explanation:
A 20 foot ladder is set against the side of a house so that it reaches up 16 feet. If Christian grabs the ladder at its base and pulls it 2 feet farther from the house, how far up the side of the house will the ladder reach now? (The answer is not 14 ft.) Round to the nearest tenth of a foot.
Answer:
14.2
Step-by-step explanation:
The ladder forms a right angles triangle,
We have,
h=20
p=16
b=x
Using pythogorean theorem,
b=√(20^2-16^2)
√144
b=12
Now,
Since, she pulls it 2 cm,
b=x+2
b=14
p=?
Using pythogorean theorem,
p=√(20^2-14^2)
√204
p=14.2828568571
Rounding to the nearest tenth,
p=14.2
The side of the ladder will reach up is 14.3 feet.
What is trigonometric Ratios?"Trigonometric Ratios are defined as the values of all the trigonometric functions based on the value of the ratio of sides in a right-angled triangle. It is with respect to any of its acute angles are known as the trigonometric ratios of that particular angle".
For the given situation,
Hypotenuse, h = 20 feet
Perpendicular, p = 16 feet
Base = b
By Pythagoras theorem,
[tex]h^{2} = p^{2} + b^{2}[/tex]
⇒[tex]20^{2} = 16^{2}+b^{2}[/tex]
⇒[tex]b^{2} = 400-256[/tex]
⇒[tex]b^{2}=144[/tex]
⇒[tex]b=\sqrt{144}[/tex]
⇒[tex]b=12[/tex]
The ladder at the house is pulled 2 feet farther.
So, base = [tex]12+2[/tex]
⇒[tex]b=14[/tex]
Now, the side of the ladder will reach up
[tex]p^{2} = h^{2}-b^{2} \\[/tex]
⇒[tex]p^{2}=20^{2}-14^{2} \\[/tex]
⇒[tex]p^{2}=400-196[/tex]
⇒[tex]p^{2}=204[/tex]
⇒[tex]p=\sqrt{204}[/tex]
⇒[tex]p=14.28[/tex]
⇒[tex]p=14.3[/tex] (rounded off to nearest tenth)
Hence we can conclude that the side of the ladder will reach up is 14.3 feet.
Learn more about trigonometric ratios here
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If the expression is expanded, what is the coefficient of x? 4(3x+5)
Answer:
12
Step-by-step explanation:
4 ( 3x + 5 )
= 4 ( 3x ) + 4 ( 5 )
= 12x + 20
The coefficient of x in 12x is 12.
The y –intercept of the function is_____________.
A. (0,0)
B. (0,2)
C. (2,0)
D. none
Answer:
B
Step-by-step explanation:
(x,y)
(0,2)
the 2 lands on the y so therefor 2 is the y-intercept
i hope this helps :)
which of the following pairs of triangles can be proven congruent through SAS
Answer:
a and d
Step-by-step explanation:
Which of the following is the solution to the equation 5/6 x= -1/6?
-1/5
1/5
-5
5
The theater sells two types of tickets: adult tickets for $14 and child tickets for $8.
Last night, the theater sold a total of 159 tickets for a total of $1794. How many adult tickets did the theater sell last night?
Answer:
87 Adult tickets were sold
Step-by-step explanation:
This type of question relates to a system of equations. These types of questions are pretty easy to spot and they are just about solved all the same way.
So what we first want to do is see that there is a total of 159 tickets sold. Now obviously that number consists of the adult and children tickets, therefore we need to add those two unknown numbers to get 159, so x will be for adults and y will be for children tickets. this will give us the equation x + y= 159.
Next, we want to associate the amount those tickets are with those variables, because you can only have so many adult tickets and children tickets with the given $1794. So what we need to do is similar, we just have those totals added to get the equation 14x + 8y = 1794.
Now we want to use the process of elimination to find the value of x (because we are solving how many adult tickets were sold). IN order to do elimination, we need to have the equation x + y= 159 cancel the y value to leave us with the x value. In order to do this, you need to multiply y by a value that cancels 8y in 14x + 8y = 1794, which is -8.
So we multiply the entire equation of x + y= 159 by -8 to get. Now we would add these equations together where you subtract by like terms so:
[tex]14x + 8y = 1794\\-8x - 8y = -1272[/tex]
This leaves us with 6x=522 now you would divide by 6 to isolate x which leaves you with 87.
Can someone send me proxys that aren't blocked by iboss
and how do I removed chrome extensions that were added by a chrome administrator
I'm tryin to play fort night on geforce now browser but its blocked
Answer:
unblock miniproxy.com
Step-by-step explanation:
Please help me! Please please please help me!
solve this equation 8+8x=8
Hello!
Answer:
x=0
Step-by-step explanation:
Hope this helps!
Answer: The correct answer is: " x = 0 " .
________
Step-by-step explanation:
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Method 1)
________
Subtract "8" from each side of the equation:
________
→ " 8 + 8x − 8 = 8 − 8 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
" +8 − 8 = 0 " ;
→ and we are left with "8x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(8 − 8)" = 0 ;
________
And we are left with:
→ " 8x = 0 " ;
________
Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
________
Method 2)
________
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Subtract "8" from each side of the equation; in the following manner:
________
8 + 8x = 8 ;
- 8 = - 8 ;
_____________
0 + 8x = 0 ;
→ We have: " 0 + 8x = 0 " ;
→ Note: On the "left-hand side" ; we have:
" 0 + 8x " ;
We can simplify this to "8x" ; since the "addition property of zero" states that when "0" is added to any value; the resulting value does not change.
Now, we can bring down the "0" from the "right-hand side" of the equation;
And we can rewrite our equation as:
________
→ " 8x = 0 " ;
Now, divide each side of the equation by "8" ;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
→ 8x / 8 = 0/8 ;
to get:
→ " x = 0 " ;
→ which is the correct answer.
________
Method 3)
________
Given: " 8 + 8x = 8 " ; Solve for "x" ;
________
Divide each side of the equation by "8" ;
________
→ " [tex]\frac{(8 + 8x)}{8} =\frac{8}{8}[/tex] " ;
________
To solve:
________
Note: On the "right-hand side" of the equation:
________
Take note that: " [tex]\frac{8}{8} =[/tex] (8 ÷ 8) = 1 " ;
________
Rewrite the equation as:
________
→ " [tex]\frac{(8 + 8x)}{8} =1[/tex] " ;
________
To solve:
________
Note: " [tex]\frac{x}{y} = z[/tex] " ; ↔ [tex]x = z*y[/tex] ; [tex](y\neq 0)[/tex] ;
________
→ " [tex]\frac{(8 + 8x)}{8} =1[/tex] " ;
→ From the "left-hand side" of the equation;
Let us simplify:
________
→ " [tex]\frac{(8 + 8x)}{8} = \frac{8}{8} + \frac{8x}{8} = 1 + x[/tex] " ;
Now, bring down the "1" from the "right-hand side" of the equation;
and rewrite the equation:
________
→ " 1 + x = 1 " ;
Now, subtract "1" from each side of the equation;
to isolate "x" on one side of the equation;
& to solve for "x" :
________
" 1 + x − 1 = 1 − 1 " ;
→ On the "left-hand side" of the equation:
Note the following "like terms" :
+1 − 1 = 0 " ;
→ and we are left with "x" on the "left-hand side" of the equation.
→ On the "right hand side" of the equation:
The "(1 − 1)" = 0 ;
→ And we are left with:
→ " x = 0 " ;
→ which is the correct answer!
________
The correct answer is: " x = 0 " .
________
Hope that this answer—and the corresponding explanations—
are helpful !
WIshing you the best!
________
8) 8 kg of apples cost Rs.800, what is the cost of 15 kg of apples?
Answer: 4
Step-by-step explanation:Using unitary method :-
5 kg apple → 600 Rs
1 kg apple →
5
600
= 120 Rs
27 kg apple →120×27=3240 Rs
Express in scientific notation. Choose the answer with the proper number of significant figures.
Answer:
it is the answer thanks
give me brainly
___% of 75 is 25
Please help
Answer:
33.33
Step-by-step explanation:
Answer:
33.33%
If you like my answer than please mark me brainliest thanks
classify -0.25 as rational or irrational. explain.
Answer:
Rational
Step-by-step explanation:
Rational numbers include fractions and decimals that end or have a pattern. Irrational numbers, however, do not end and have an arbitrary pattern. -0.25 is rational because it is a terminating decimal which means it ends.
Examples of irrational numbers include:
√2 , -√101 , π (pi)
Examples of rational numbers include:
-0.89 , √16 , 1/3
i hope this helps :)
On a coordinate plane, 2 straight lines are shown. The first solid line has a positive slope and goes through (0, negative 2) and (2, 0). Everything to the left of the line is shaded. The second dashed line has a negative slope and goes through (0, 2) and (4, 0). Everything below and to the left of the line is shaded.
Which system of linear inequalities is represented by the graph?
y > x – 2 and x – 2y < 4
y > x + 2 and x + 2y < 4
y > x – 2 and x + 2y < 4
y > x – 2 and x + 2y < –4
Answer:
(C) : y[tex]\geq[/tex] x - 2 and x + 2y < 4
Step-by-step explanation:
Answer:
(C) : y ≥ x - 2 and x + 2y < 4
Edge Unit Test 2023
What is the distance between point A(−1, 3) and point B(−8, 3) ?
2 units
5 units
7 units
9 units
Answer:
7 units
Step-by-step explanation:
Answer:
7 units
Step-by-step explanation:
d = √(x2-x1)²+(y2-y2)
d = √((-8-(-1)² - (3-3)²
d = √ (-7)²-0
d = √49
d = 7 units
Which situation could be represented by -11?
Answer:
Your answer is A. A depth of 11 feet below sea level ( Sea level is 0 in this case ).
Step-by-step explanation:
HELP
15.4 = -2.1 + a/0.2
Answer:
a = 3.5
Step-by-step explanation:
15.4 = -2.1 + a/0.2
Combine like terms:
15.4 = 2.1 + 5a
Swap sides:
-2.1 + 5a = 15.4
make sure to show your work. Please dont answer if you dont know. There are two attachments.
Your prize: Brainliest and 30 points
Step-by-step explanation:
Number 1
180° = x + 70° + 55° + 30°
180° = x + 155°
x = 180° - 155°
x = 25°
Number 2
x° = 93°
y° = 47°
z° = 180° - 47° - 93°
z° = 180° - 140°
z° = 40°
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If the slope is 3/4 what does 3 tell us to do?
We need to move
type your answer
3 in the positive direction,
Answer:
You need to move to move up 3 because the number is positive.
Step-by-step explanation:
If the numerator is positive you move up, if it is negative you move down. For the denominator (the number on the bottom) you move to the right if positive or the left if negative.
Evaluate 5 + {2[(48 – 40) ÷ 4 + (2 x 5)]}
29
28
45
19
Answer:
29
Step-by-step explanation: 5 + 2 [(48 - 40)/4+(2 x 5)]
What is the solution to the equation −p−13=−43p+23(5p−6)?
Answer:
p = 125/73
Step-by-step explanation:
−p − 13 = −43p + 23 (5p − 6)
−p − 13 = −43p + 115p − 138
−p − 13 = 72p − 138
+p +p
-----------------------------
-13 = 73p - 138
+138 +138
-----------------------------
125 = 73p
/73 /73
-----------------------------
125/73 = p
If you need the answer in mixed fraction, then it's --> p = 1 52/73
The solution to the given equation is p = - 1.71
To determine the solution of the given equation,
We will find the value of the variable, p, that satisfies the equation.
From the question, the given equation is
[tex]-p-13 = -43p+23(5p-6)[/tex]
To solve this,
First, Clear the brackets
[tex]-p-13 = -43p + 115p - 138[/tex]
Now, Collect like terms
[tex]-p +43p -115p = -138 + 13[/tex]
[tex]73p = -125[/tex]
Now, divide both sides of the equation by 73
[tex]\frac{73p}{73} = \frac{-125}{73}[/tex]
∴ p = - 1.71
Hence, the solution to the given equation is p = - 1.71
Learn more here: https://brainly.com/question/9956738
what is the solution to the original equations 8(3x-7) = -6(x+7)+4 ? Show your work
3/5
Step-by-step explanation:
8 (3x-7)=-6 (x+7)+4
24x-56=-6x+(-42)+4
24x+6x=-42+4+56
30x=-38+56
30x=18
30x/30=18/30
x=3/5
Algebra 2 Piece-wise functions!!
It's A.
1. The closed circle connects to the x≥1 function, so that rules out B and C.
2. The x≥1 piece has a positive slope on the graph, so that rules out D.