Answer:
senior ticket = $10 child's ticket = $8
Step-by-step explanation:
s = senior ticket
c = child's ticket
We need to write 2 equations, and we have 2 unknowns, s and c.
3s + 5c = $70
12s + 12c = $216
First solve for s using the first equation.
3s + 5c = 70 Subtract 5c from each side
3s + 5c - 5c = 70 - 5c
3s = 70 - 5c Divide each side by 3
3s/3 = (70 - 5c)/3
s = [tex]\frac{70 - 5c}{3}[/tex]
Now plug in s into the second equation.
12s + 12c = 216
12([tex]\frac{70 - 5c}{3}[/tex]) + 12c = 216
[tex]\frac{12}{3}[/tex] (70 - 5c) + 12c = 216
4 (70 - 5c) + 12c = 216
280 - 20c + 12c = 216
280 - 8c = 216 Add 8c to each side
280 - 8c + 8c = 216 + 8c
280 = 216 + 8c Subtract 216 from each side.
280 - 216 = 216 - 216 + 8c
280 - 216 = 8c
64 = 8c Divide each side by 8
64/8 = 8c/8
64/8 = c
8 = c
Now plug c into the first equation and solve for s.
3s + 5c = 70
3s + 5(8) = 70
3s + 40 = 70 Subtract 40 from each side.
3s + 40 - 40 = 70 - 40
3s = 70 - 40
3s = 30 Divide each side by 3
3s/3 = 30/3
s = 30/3
s = 10
So a senior ticket costs $10 and a child's ticket costs $8.
Give me the answer for this
Answer:
>
Step-by-step explanation:
because 16 is greater than 12
What is the length of the segment DF?
Pls help
Simplify the expression: -1.23x + 1.54x + 1.2 + 1.2 + 3.4p
Answer:
0.31x + 2.4 + 3.4p
Step-by-step explanation:
combine like terms
Two metal spheres having volume 50 cm cube and 60 cm cube are melted together to form a new sphere .What is the volume of the new Sphere so formed?
Answer:
[tex]110cm^{3}[/tex]
Step-by-step explanation:
[tex]50cm^{3} + 60cm^{3} = 110cm^{3}[/tex]
The volume of an object stays the same no matter how you shape it, so the volume of the new sphere is the sum of the volume of the two metal spheres assuming that nothing is lost during the process of creating the new sphere.
GIve me an equation then you get 10 points
Answer:
987654321 divided by 12345678
Step-by-step explanation:
Write the equation in slope-intercept form y−6=−2/5(x−10)
Answer: y = -2/5x + 10
Step-by-step explanation:
y − 6 = − 2/5 (x − 10)
do distributive property
y - 6 = -2/5x + 4
add six to both sides
y = -2/5x + 10
boom the answer :v
Is -4(5x)=12 true false or open
Answer:
False because its -4 if it
posting again since no one would help me :,) PLEASEEEEE I'M STUPID AND NEED HELPPPPPP (plus i'm lazy smh) FREAKING 40 POINTS COME GET IT
Answer:
ill try to help you
Step-by-step explanation:
1. y=3x+1
2. y= -1.5x+3
3. y=0.5x-3
4. y= 3x
hope this helps
take care
Helpppp!!! Are the triangles below congruent by Side-Side-Side, Side-Angle-Side, or neither?
Answer
I think it is B or C since there is an angle it can not be A
Step-by-step explanation:
I think it is B since there is 1 angle and 2 sides.
Answer:
C
Step-by-step explanation:
Lets see what we have,
So far we have a side and an angle congruent.
But wait, if two lines intersect, the angle of intersection between the two are equal meaning we have a second angle, and we know now as a result the third angle is 180 minus the two known angles
This means its a Side Angle Angle, however neither of these show this so C
Hope this helps :)
PLS HELP!!!
PLS FIND 13 and 15!!
Answer:
hi how are you doing
Step-by-step explanation:
Will give brainiest answer if you are correct
Using the Incenter P, find the measure of ∠ZPX.
117°
140°
64°
129°
42°
132°
Answer:
The measure of ∠ZPX is 63°
Step-by-step explanation:
The given parameters are;
The incenter of the triangle = P
m∠KXP = 31°, m∠PYJ = 27°, [tex]\overline {ZP}[/tex] = 20 feet
Given that the segment [tex]\overline {XJ}[/tex] from the vertex, X, passes through the incenter of the triangle, we have;
The segment [tex]\overline {XJ}[/tex] bisects ∠KXL to form ∠KXP and ∠LXP
Therefore, ∠KXP = ∠LXP = 31°
∠KXL = ∠KXP + ∠LXP = 31° + 31° = 62°
∠KXL = 62°
Similarly;
The segment [tex]\overline {YL}[/tex] bisects ∠KYJ to form ∠PYJ and ∠PYK
Therefore, ∠PYJ = ∠PYK = 27°
∠KYJ = ∠PYJ + ∠PYK = 27° + 27° = 54°
∠KYJ = 54°
In ΔXYZ, we have, ∠LZJ + ∠KYJ + ∠KXL = 180° based on the sum of the interior angles of a triangle postulate
∴ ∠LZJ = 180° - (∠KYJ + ∠KXL) = 180° - (54° + 62°) = 64°
∠LZJ = 64°
The segment [tex]\overline {ZK}[/tex] bisects ∠LZJ to form ∠PZL and ∠PZJ
Therefore, ∠PZL = ∠PZJ
∠LZJ = ∠PZL + ∠PZJ = 2 × ∠PZL = 64°
∠PZL = 64°/2 = 32° = ∠PZJ
In ΔZPX, we have;
∠PZL + ∠LXP + ∠ZPX = 180° based on the sum of the interior angles of a triangle postulate
∠ZPX = 180° - (∠PZL + ∠LXP) = 180° - (32° + 31°) = 63°
∠ZPX = 63°
The measure of ∠ZPX = 63°
someone please please helppp... I need to submit this ttoday..I will mark you the brainliest
Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
given f(x)=4-3x, what is the value of f(5)?
Answer:
-11
Step-by-step explanation:
-3/7 + 1/7 please help me i am on a text and i need help
Answer:
-3/7 + 1/7 equals - 2/7
Step-by-step explanation:
Think of it this way: 3/7- 1/7, then add the negative
Hopefully this helps you!
Answer:
-2 / 7 . Crown?
Step-by-step explanation:
1 / 7 + ( -3 ) / 7 = -2 / 7
Because the positive number is bigger than the negative number on a number line.
Negative numbers are on the left of a number line
Positive numbers are on the right of a number line
If you draw a number line you would go backwards 1 then -3, would become -2 because -2 is greater than -3
Hope this helps.
CAN I also get the crown from your other question and on here too?
1. Show your work to simplify the expression 0.5(8a +6b) a + 4b
Answer:
Using distribute property
0.5(8a)(a) + 0.5(6b)(a) + 4b
4a^2 + 3ab + 4b
Step-by-step explanation:
Answer:
4a+3ab +4b
Step-by-step explanation:
0.5(8a+6b) a +4b
4a +3b*a +4b
4a+3ab +4b
find the slope and y - intercept of the equation.
y=1/4x-8
Answer:
slope= 1/4
y-intercept- (-8)
Step-by-step explanation:
i think i hope this is right !
Solve for x: 81^ x-4=9^3x
Show all work for brainliest
Answer:
Solve for x by simplifying both sides of the equation, then isolating the variable.x≈−0.00413995,1.6090059
Step-by-step explanation:
Answer:
X=-8
Step-by-step explanation:
81^(x-4)=9^3x
(9^2)^(x-4)=9^3x
9^(2x-8)=9^3x
Same base socompare both sides
So 2x-8=3x
2x-3x=8
-x=8
X=-8
So the value of X is -8
Someone PLease please help me
m=-3; (1,4) write in slope intercept form
Answer:
y = -3x + 7
Step-by-step explanation:
Determine the equation of the graph with the coordinates of (4, -1)
O y = (x-4)2 - 1
O y=(x + 4)2 + 1
O y = (x + 4)2 - 1
O y = (x - 4)2 + 1
Answer:
The required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]The graph is also attached.
Step-by-step explanation:
Given the coordinates (4, -1)
If we put the coordinate values (4, -1) in the given equations, we determine that only [tex]y=\left(x-4\right)^2-1[/tex] is the valid equation as it satisfies the given coordinate value.
For example, putting (4, -1) in the equation
[tex]y=\left(x-4\right)^2-1[/tex]
[tex]\left(-1\right)=\left(4-4\right)^2-1[/tex]
[tex]-1=\left(0\right)^2-1[/tex]
[tex]-1=0-1[/tex]
[tex]-1=-1[/tex]
So, the equation [tex]y=\left(x-4\right)^2-1[/tex] is true for the coordinate values (4, -1).
Therefore, the required equation of the graph with the coordinates of (4, -1) will be:
[tex]y=\left(x-4\right)^2-1[/tex]Please check, the graph is also attached.
If we multiply 0.8 by 1/50, we get 0.8 × 1/50 = 0.8/50 = 0.016 meter. So, we can say 0.016 meter wide should the door be on the scale drawing, if the ratio is 1 to 50.
Answer:
the ratio is 1:50
this means that 1 meter in the drawing is equal to 50 meters in real life, but that is a complicated way of stating something simple since drawings are not generally measured in meters.
the door is 0.8 meters wide or 80 centimeters wide
in our drawing, the door should be 80 / 50 = 1.6 centimeters wide
the whole purpose of a scale is to allow us to work with smaller units, that is why we have to work with them. It is true that 0.016 meters = 1.6 centimeters, but as I said before, writing the answer in meters just complicates things and makes them harder to understand. You could also say it is 0.000016 kilometers wide and it would be right, but too confusing.
PLEASSSSSSSSSSSSSSSSSSSSSSSSSSeeee help 10+ points for you
Answer:
f < -2
Step-by-step explanation:
f+ 4 < 2
-4. -4
f < -2
HOPE THIS HELPS
PLZZ MARK BRAINLIEST
Answer:
the second
Step-by-step explanation:
f(x) = -x +2
g(x) = 4.0 – 8
1) x=1
2) x=-4
hope that helped
question:
Solve for x: 2/5(x - 4) = 2x
answers:
1/2
-1
1
-8
Answer:
x= -1
Step-by-step explanation:
Write and solve a word problem that can be modeled by the product 12x-8
Answer:
Step-by-step explanation:
Mike is at the shop for school supplies. He sees some pencils he wants to buy. He sees that if he buys twelve of the same item, the store will take off $8. How much will twelve pencils cost at the store if one pencil is $5.99?
Equation: 12x-8
12x-8 =
12(5.99) - 8 =
71.88 - 8 =
$63.88
Hope this helps:)
The word problem that can be modeled by the
expression → 12x - 8 is written and solved below.
What is word problem in mathematics?A word problem is a few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
Given is the following expression -
12x - 8
The world problem is as follows -
An ice cream store sells different flavours of ice cream at different rates. The cost of chocolate flavored ice cream is $12 per piece. If a person buys more than 15 ice - creams and wants it to be packed, the extra cost of packaging is decided by the following formula as →
cost of packaging = c[p] = (n/2) + 2
where n is the cost of ice cream.
If sam buys 'x' ice creams of chocolate flavor for his birthday party, calculate the total amount that sam has to pay to the shopkeeper.
Solution -
Cost of 1 chocolate flavored ice cream = $12
Cost of x chocolate flavored ice cream = $(12x)
Since, 20 > 15, the extra cost of packing will be -
c[p] = n/2 + 2 = 12/2 + 2 = $8
The equation representing the total cost to be paid is -
Total cost [y] = 12x + 8
y = 12x + 8
Therefore, the word problem that can be modeled by the
expression → 12x - 8 is written and solved above.
To solve more questions on making word problems, visit the link below-
https://brainly.com/question/28756658=
#SPJ2
A tennis ball was hit into the air. The height of the tennis ball in feet (h) with respect to how far the ball traveled horizontally in feet (d) can be modeled by the quadratic function,
h = -d2 + 8d+4.
Enter the maximum height, in feet, of the tennis ball.
feet
Answer:
20m
Step-by-step explanation:
Given the height reached by the ball modelled by the equation
h = -d² + 8d+4.
The velocity of the balk at its maximum height is 0. Hence
v = dh/dd = 0
v = -2d + 8
0 = -2d+8
2d =8
d =8/2
d = 4
Substitute d = 4 into the equation to get the maximum height reached
h = -(4)² + 8(4)+4
h =-16+32+4
h = -16+36
h = 20
Hence the maximum height reached by the ball is 20m
plzzzzzzzzzzzz help
Answer:
58
Step-by-step explanation:
Total area = 7 × 10 - 6 × 2 = 70 - 12 = 58 units²
75 000 in standard form
Answer:
7.5×10^4
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the 10. If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
Hope this helps <3
Answer: 7.5
Step-by-step explanation:
what is the 20th term of the linear sequence?
1,7,13,19,25
Answer:
115
Step-by-step explanation:
There is a common difference d between consecutive terms, that is
d = 7 - 1 = 13 - 7 = 19 - 13 = 25 - 19 = 6
This indicates the sequence is arithmetic with n th term
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 1 and d = 6 , thus
a₂₀ = 1 + (19 × 6) = 1 + 114 = 115
We are required to find the 20th term of the linear sequence.
The 20th term of the linear sequence 1,7,13,19,25 is 115
Given:
1, 7, 13, 19, 25
nth term = a + (n - 1)d
where,
n = number of terms
= 20
a = first term
= 1
d = common difference = 7 - 1
= 6
So,
nth term = a + (n - 1)d
20th term = 1 + (20 - 1)6
= 1 + (19)6
= 1 + 114
= 115
20th term = 115
Therefore, 20th term of the linear sequence 1,7,13,19,25 is 115
Read more:
https://brainly.com/question/17827686