Answer:
Adult ticket is $15
Child ticket is $5
Step-by-step explanation:
Let x = adult ticket price
y = child ticket price
2x + 3y = 45 2x + 2y = 40
-2x - 2y = -40
y = 5 2x + 2(5) = 40
2x + 10 = 40
2x = 30
x = 15
The prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.
Given that, the Jones family spent $45 on movie tickets for 2 adults and 3 children.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let cost of adult tickets be x and the cost of children tickets be c.
The Jones family spent $45 on movie tickets for 2 adults and 3 children.
2a+3c=45 ------(I)
The Smith family spent $40 for 2 adults and 2 children.
2a+2c=40
a+c=20 ------(II)
From equation (II), we have a=20-c
Substitute a=20-c in equation (I), we get
2(20-c)+3c=45
⇒ 40-2c+3c=45
⇒ c=$5
Put c=5 in equation (II), we get
a+5=20
⇒ a=$15
Therefore, the prices of the adult movie tickets and the child movie tickets are $15 and $5 respectively.
To learn more about the linear system of an equations visit:
https://brainly.com/question/27664510.
#SPJ5
Help me or pretty please
Answer:
The unknown information is how many months she will use her phone, and how many GB she will download. We can represent these with literally any non-number symbol, letters, greek letters (if ur cool), but to simplify it we can represent the number of months with 'm' and the number gigabytes with 'g'
21m + 3g ≤ 30
Step-by-step explanation:
Find the circumference and the area of a circle with diameter 9cm. Use the value 3.14 for pie and do not round your answer. Be sure to include the correct units in your answer
Answer:
Circumference = 28.26
Area = 63.585 cm²
Step-by-step explanation:
Formula for Circumference:
C = 2 × π × r
C = Circumference
r = radius
Radius = Diameter ÷ 2
9 ÷ 2 = 4.5
C = 2(3.14)(4.5)
C = 28.26
Formula for Area:
A = π × r²
9 ÷ 2 = 4.5
4.5 is the radius.
A = (3.14)(4.5)²
Simplify:
(3.14)(20.25)
= 63.585 cm²
Which best explains whether or not all isosceles triangles are similar?
All isosceles triangles are similar. Two angles within each triangle are always congruent.
All isosceles triangles are similar. The triangle sum theorem states that the sum of the angles in a triangle is 180°. Therefore, the third angle can always be determined.
All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
All isosceles triangles are not similar. Given only the vertex angle of an isosceles triangle, there is not enough information to determine the measures of the base angles. Therefore, it is not possible to determine if the base angles of one isosceles triangle are congruent to the base angles of another.
Answer:
C: All isosceles triangles are not similar. The pair of congruent angles within one triangle is not necessarily congruent to the pair of congruent angles within the other triangle.
Step-by-step explanation:
An Isosceles triangle is one that 2 of it's sides are equal and thus two of its angles are congruent which means they are equal.
Now, another Isosceles triangle may not necessarily be similar to another one because the congruent angles in one Isosceles triangle may not be the same with that of another Isosceles triangle.
Thus, correct answer is option C
Answer:
C, I think I hope you all do well on your test!!!!
Step-by-step explanation:
Solve for 2.
=
E
2
3
А
9
B
6
D
Answer:
9/3 = 15/x
45 = 9x
x=5
Let me know if this helps!
Write the inequality represented by each graph..
Graph one : (0,-1) (6,3)
Graph two : (0,3) (4,-5)
Help
Answer:
Step-by-step explanation:
HERE ARE THE ANSWERS
Find the missing side length.
Answer:
[tex]a = 4 \\ b = 2 \sqrt{2} [/tex]
Its a right angle triangle so trigonometry is used.
a is the hypotenuse, b is the adjacent.
Use sin to find a. Use tan to find b.
Will mark b for right answer !!!!!
( calculate angels using line and angle relationships)
Answer:
56
Step-by-step explanation:
because it is a right angle so 90 _ 34 = 56
Answer:
the answer should be 56 as 90-34=56
Jada was measuring the dimensions of her new closet. The area of the closet is 8 1/6 square feet and the width of the closet is 3 1/2 What is the length of her closet?
Answer: 2 1/3 feet
Step-by-step explanation:
Area of closet = 8 1/6 feet ²
Width of the closet = 3 1/2 feet
Length of the closet = Unknown
We should note that:
Area = Length × Width
Length = Area / Width
Length = 8 1/6 ÷ 3 1/2
= 49/6 ÷ 7/2
= 49/6 × 2/7
= 7/3
= 2 1/3 feet
The length is 2 1/3 feet
17. Which of the following is an equivalent expression
to x2 + 6x + 112
A. (x - 3)²+3
B. (x + 3)2 + 2
C. (x + 2)2 + 3
D. (x – 3)2 + 2
Answer:
A={x-3}^2 +3Step-by-step explanation:
(x+3) (x+3)+3
x(x+3)+3(x+3)+3
x2+3x+3x+9+3
x2+6x+12
need help ASAP!!! anyone know ??????
Answer:
D
Step-by-step explanation:
(b) Work out an equation of the straight line that passes through (9, 2) and (3,5)
[3 marks]
Answer:
I think it's y = -x + 11
Step-by-step explanation:
use the formula y - y1/ y2 - y1 = x - x1/ x2 - x1
0.
A mountain climber ascends a mountain to its peak. The peak is 14,090 ft above sea level. The climber then descends 490 ft to meet a fellow climber. Find the climber’s elevation above sea level after meeting the other climber.
13,600 ft
14,580 ft
–13,600 ft
9,190 ft
Answer:
13,600 feet above sea level
Step-by-step explanation:
The climber was at 14,090 feet above sea level, and then they went 490 feet closer to sea level to meet the other climber. Since they’re moving closer to sea level and you want to know how far *above* sea level they are, subtract 490 from 14,090. 14,090-490=13,600 feet above sea level
If a plane traveled 610 miles in 1 hour, how fast is it going?
Answer:
very fast
Step-by-step explanation:
10.2 miles per minute :)
Can someone help me figure out how to do this?
What is the volume of the pyramid?
*Do NOT round your answer!
Answer:
V ≈ 611
Step-by-step explanation:
Solution
V = l w h ÷ 3 = 14.1 × 13 × 10 / 3 ≈ 611
8.3 is equal to -----------hundredths
Answer:
830
Step-by-step explanation:
Answer: it would be 83 hundredths
Step-by-step explanation:
8.3x10 = 83
i f N(-7,-1) is a point on the terminal side of ∅ in standard form, find the exact values of the trigonometric functions of ∅.
Answer:
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
Step-by-step explanation:
Given
[tex]N = (-7,-1)[/tex] --- terminal side of [tex]\varnothing[/tex]
Required
Determine the values of trigonometric functions of [tex]\varnothing[/tex].
For [tex]\varnothing[/tex], the trigonometry ratios are:
[tex]sin\ \varnothing = \frac{y}{r}[/tex] [tex]cos\ \varnothing = \frac{x}{r}[/tex] [tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex] [tex]sec\ \varnothing = \frac{r}{x}[/tex] [tex]csc\ \varnothing = \frac{r}{y}[/tex]
Where:
[tex]r^2 = x^2 + y^2[/tex]
[tex]r = \sqrt{x^2 + y^2[/tex]
In [tex]N = (-7,-1)[/tex]
[tex]x = -7[/tex] and [tex]y = -1[/tex]
So:
[tex]r = \sqrt{(-7)^2 + (-1)^2[/tex]
[tex]r = \sqrt{50[/tex]
[tex]r = \sqrt{25 * 2[/tex]
[tex]r = \sqrt{25} * \sqrt 2[/tex]
[tex]r = 5 * \sqrt 2[/tex]
[tex]r = 5 \sqrt 2[/tex]
Solving the trigonometry functions
[tex]sin\ \varnothing = \frac{y}{r}[/tex]
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2}[/tex]
Rationalize:
[tex]sin\ \varnothing = \frac{-1}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{5*2}[/tex]
[tex]sin\ \varnothing = \frac{-\sqrt 2}{10}[/tex]
[tex]sin\ \varnothing = \frac{-1}{10}\sqrt 2[/tex]
[tex]cos\ \varnothing = \frac{x}{r}[/tex]
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2}[/tex]
Rationalize
[tex]cos\ \varnothing = \frac{-7}{5\sqrt 2} * \frac{\sqrt 2}{\sqrt 2}[/tex]
[tex]cos\ \varnothing = \frac{-7*\sqrt 2}{5*2}[/tex]
[tex]cos\ \varnothing = \frac{-7\sqrt 2}{10}[/tex]
[tex]cos\ \varnothing = \frac{-7}{10}\sqrt 2[/tex]
[tex]tan\ \varnothing = \frac{y}{x}[/tex]
[tex]tan\ \varnothing = \frac{-1}{-7}[/tex]
[tex]tan\ \varnothing = \frac{1}{7}[/tex]
[tex]cot\ \varnothing = \frac{x}{y}[/tex]
[tex]cot\ \varnothing = \frac{-7}{-1}[/tex]
[tex]cot\ \varnothing = 7[/tex]
[tex]sec\ \varnothing = \frac{r}{x}[/tex]
[tex]sec\ \varnothing = \frac{5\sqrt 2}{-7}[/tex]
[tex]sec\ \varnothing = \frac{-5}{7}\sqrt 2[/tex]
[tex]csc\ \varnothing = \frac{r}{y}[/tex]
[tex]csc\ \varnothing = \frac{5\sqrt 2}{-1}[/tex]
[tex]csc\ \varnothing = -5\sqrt 2[/tex]
Calculate and express your answer in decimal form. 12⋅17
Answer:
12·17=207 But if you need it in a decimal, I'd say 2.07. Hope this helps!! (:
Write the equation for the line L shown in the figure
the coordinate is (2, -2).
Can someone please help me on this question ASAP!!!!! ‘What is the gradient of the blue line?’
Answer:
4
Step-by-step explanation:
change in y/change in x
rise/run
4/1
= 4
Answer:
up 4 right 5 and up 8 right 6
Step-by-step explanation:
1x+2y=5 find four solutions
Answer:
Simplifying
1x + 2y = 5
Solving
1x + 2y = 5
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-2y' to each side of the equation.
1x + 2y + -2y = 5 + -2y
Combine like terms: 2y + -2y = 0
1x + 0 = 5 + -2y
1x = 5 + -2y
Divide each side by '1'.
x = 5 + -2y
Simplifying
x = 5 + -2y
Step-by-step explanation:
HELP PLEASE IM BEING TIMED
Answer:g
Step-by-step explanation: because those sides equal one another if you flip them them same way
Stuck trying to solve this, didn’t pay attention :/
Answer:
Pay attention next time
6. Claim: = 0.01.
Population statistics: = 52 and = 68
Sample statistics:
5595, N1
156 and X2 = 5575, n2 = 216
Answer:
false
Step-by-step explanation:
you have to multiply the 52 and 68, making the n1 = 5577, not 5575
(Asapppppp!!)
Simplify to create an equivalent expression,
19 - 6(-k - 2)
Choose 1 answer,
A.-6k+31
B.25k+7
C.6k+31
D.25k+32
Answer:
56/1230
Step-by-step explanation:
There were 425 people at a cinema when the movie started. One hour later, there were 323 people left at the cinema. What was the percentage decrease in the number of people at the cinema
Answer:
83% Might be wrong
Step-by-step explanation:
Answer:
24% Positive.
x=7
Step-by-step explanation:
What would be the best estimate for the height of a front door?
Answer: The height of a standard door is about 2 m. The length of an adult pace is about 1 m. The length of a size 8 shoe is about 30 cm. Most adults are between 1.5 m and 1.8 m in height.
Step-by-step explanation:
Please help me please please ASAP ASAP please ASAP
Answer:
45Step-by-step explanation:
Well, it is not 90 degrees, as it is not a right angle.
It cannot be 180 degrees as that would be a straight line and a triangle's whole angle measure is 180 degrees.
It is an acute angle, and appears to be half of 90 degrees, so I would have to say 45 degrees.
Not enough information is false because you can infer that it is 45 degrees by looking at it.
Hope that helps!
What is 8 x 3? I'm doing an i-ready lesson and I forgot, please help me XD
Answer: 24
Step-by-step explanation:
what is the relative frequency as a percent to the nearest tenths of males and females who ride their bike to school when compared to the total population?
Answer:
100 percent - 18 percent
Step-by-step explanation:
answer will come