Answers
Answer:
1. 5
2. 3 adult tickets; 2 child tickets
3. See below
Step-by-step explanation:
1.
2 adult tickets cost 2 × $12 = $24
Subtract $24 from $64:
$64 - $24 = $40
Divide $40 by $8:
$40 ÷ $8 = 5
Answer: 5 child tickets
2.
x = number of adult tickets
y = number of child tickets
The total number of tickets is 5, so the first equation is:
x + y = 5
The cost of x adult tickets is 12x. The cost of y child tickets is 8y. The total cost is 12x + 8y. We are told the total cost is $52. The second equation is:
12x + 8y = 52
The system of equation is:
x + y = 5
12x + 8y = 52
Let's solve it by substitution.
Solve the first equation for x.
x = 5 - y
Now we substitute x in the second equation by 5 - y.
12(5 - y) + 8y = 52
Distribute:
60 - 12y + 8y = 52
Combine like terms on the left side:
-4y + 60 = 52
Subtract 60 from both sides:
-4y = -8
Divide both sides by 4.
y = 2
Substitute y = 2 in the first original equation and solve for x.
x + y = 5
x + 2 = 5
x = 3
Answer: 3 adult tickets; 2 child tickets
3.
The customer's claim is incorrect. His sum is $71. 71 is an odd number. Since all ticket prices are even numbers, it is impossible to add only even numbers and get an odd sum. A sum of several amounts of 12 and several amounts of 8 can never equal 71.
We can also show his claim is false using a system of equations.
x + y = 7
12x + 8y = 71
Use substitution.
x = 7 - y
12(7 - y) + 8y = 71
84 - 12y + 8y = 71
84 - 4y = 71
-4y = -13
y = 3.25
This means 3.25 child tickets. The problem states that tickets can be purchased only in whole numbers, so 3.25 tickets cannot be purchased, so the customer's claim is false.
Related Questions
I really need help!!! Some please help me.
Answers
Answer:
2
Step-by-step explanation:
5x0.4=2
.4x2=5
Answer:2 pounds
Step-by-step explanation:
Multiply 5 with .4
Jack read 9 books in 15 months. What was his rate of reading in months per book? Include units.
Your answer should be written in fraction form (mixed number)
Answers
Answer:
3/5 books
Step-by-step explanation:
Divide 9 by 15 to get 0.6
0.6=3/5
The infield of a softball
diamond is shaped like a
square. If the distance
between bases is 60 feet,
Find the diagonal distance
From third base to First
base
1-84.9
2-11.9
3-12.5
Answers
Answer:
84.9
Step-by-step explanation:
The distance between first and third base makes the hypotonus of a triangle where the lengths of the legs are each 60 feet. To find the hypotonus, add (60)^2 + (60)^2 to get 3600 +3600 = 7200. Then square root 7200 to get the distance between first and third as 84.9
Cone A and Cone B both have a height of 5 inches. The volume of Cone A
is 20.9 cubic inches. The volume of Cone B is 4 times the volume of Cone A.
About how many times longer is the diameter of Cone B than the diameter
of Cone A
Answers
Answer:
cone A= 20.9×5=104.5
cone B= 5×4=20
20×20.9=418
cone B -cone A = -313.5
bra9inly pls help me on this question
Answers
Step-by-step explanation:
area of the trapezoid = area of the 2 triangles +
area of the rectangle
i) area of triangle on left:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
ii) area of triangle on right:
a = ½ bh
a = ½ × 2 × 9
a = 9 in²
iii) area of rectangle = length × width
a = l × w
a = 12 × 9
a = 108 in²
iv) area of trapezoid = 9 + 9 + 108
= 126 in²
hope this helps you!
-s.
What is the area of this parallelogram?
A= 19 1/2 ft
A= 42 ft
A= 61 1/2 ft
A= 71 3/4 ft
Answers
Step-by-step explanation:
Parallelogram formula: [tex]A=b(base)h(height)[/tex]
The value 6 is meant to trick you.
The height is 7, and the base is 10 1/4.
Multiply the base and height:
[tex]7 \times 10\frac{1}{4} = 71\frac{3}{4}[/tex]
The area equals: [tex]71\frac{3}{4}[/tex] [tex]ft^{2}[/tex]
Select all the stories that can be represented by the diagram.
Diego spends $1 on 7 Stickers and 3 marbles
Elena spends 57 on 3 notebooks and a $1 pen.
Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.
Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Lin spends $3 on 7 markers and a $1 pen
Answers
Answer: Choice C and Choice D
========================================================
Explanation:
Choice A doesn't work because it the $1 should be $7 instead.Choice B doesn't work because it should be Elena spending $7 total on 3 notebooks and a $1 pen. The x is the amount per notebook.Choice C does work. If x is the number of grapes Noah gives each friend, then 3x is the total amount Noah gives over. Then 3x+1 is the number of grapes total. That +1 at the end is the grape Noah eats. We end up with 3x+1 = 7 because Noah starts off with 7 grapes.Choice D works also. The x is the number of hours for math, science and history each. So 3x is the combined time of those three classes. Add on 1 to get 3x+1 to represent all 7 hours, ie 3x+1 = 7.Choice E does not work. If it was her spending $7 on 3 markers and a $1 pen, then it would work.Answer:
[] Noah shares 7 grapes with 3 friends. He eats 1 and gives each friend the same number of grapes.
[] Andre studies 7 hours this week for end-of-year exams. He spends 1 hour on English and an equal number of hours each on math, science, and history.
Reasoning:
[✗] The first story, with Diego, does not work because the whole is $1 in the problem and $7 in the diagram.
[✗] The second story, with Elena, does not work because the 7 is ignored entirely and the x becomes a known value, 57.
[✓] The third story, with Noah, does work because he splits seven grapes equally among three friends (the x's) and eats one.
[✓] The fourth story, with Andre, does work because 7 hours were spent studying. One on English and the rest (three subjects) split evenly (x).
[✗] The fifth story, with Lin, does not work because the total is $3 when it should be 7.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
Last question im putting all my points into this pleae help! 50 points!
Answers
Answer:
10 inches
Step-by-step explanation:
refer the image
HELP ME ASAP for 37 points!! which expression is equivalent to 14.5d+8.5-1/2d+1/2+2.5d
first one 16.5d+8
second one 16.5d+9
third one 17.5d+8
fourth one 17.5d+9
Answers
Equivalent expressions are expressions with equal values
The equivalent expression is 16.5d+9
How to determine the equivalent expressionThe expression is given as:
14.5d+8.5-1/2d+1/2+2.5d
Express the fractions as decimals
14.5d+8.5-0.5d+0.5+2.5d
Collect like terms
14.5d-0.5d+2.5d+8.5+0.5
Evaluate the like terms
16.5d+9
Hence, the equivalent expression is 16.5d+9
Read more about equivalent expressions at:
https://brainly.com/question/2972832
Answer:16.5d+9
Step-by-step explanation:
Please help?
I don’t understand
Answers
Answer:
hi there the correct answer is b
Step-by-step explanation:
Which is the equation of the following line.
Answers
Answer:
D
Step-by-step explanation:
D
0 is the y intercept and -4 is the slope.
Answer:
D. y = -4x
Step-by-step explanation:
First, find the slope:
m = (-8 - 0) / (2 - 0)
[tex]m = -\frac{8}{2}[/tex]
Use slope-intercept form:
[tex]y = -\frac{8}{2}x[/tex]
[tex]y = -4x[/tex]
What is the solution for the equation? 14. 8 = n minus 0. 3 n = negative 15. 1 n = negative 14. 5 n = 14. 5 n = 15. 1.
Answers
Answer:
Step-by-step explanation;
3, 4, 5), while (m, n) = (5,2) gives the ... x 2 + 29x + 210 = (x + 15)(x + 14) and x2 + 29x - 210 = (x + 35)(x - 6)
Solve for a.
5a−12=3
Enter your answer in the box.
a =
Answers
[tex]5a - 12 = 3 \\ 5a = 3 + 12 \\ 5a = 15 \\ a = \frac{15}{5} \\ a = 3[/tex]
Answer:
[tex]a=3[/tex]
Step-by-step explanation:
Given the following question:
[tex]5a-12=3[/tex]
To solve this equation, we need to add 12 on both sides and then isolate the variable for a.
[tex]5a-12=3[/tex]
[tex]-12+12=0[/tex]
[tex]12+3=15[/tex]
[tex]5a=15[/tex]
[tex]\frac{5a}{5} =\div5[/tex]
[tex]15\div5=3[/tex]
[tex]a=3[/tex]
Hope this helps.
help me to the this question
Answers
Across
1 compass
2 shape
4 two pi to one
6 Pie x radius squared
8. arc
10 Point
11 radius
12 circumference
down
1 Chord
4major arc
5 Radii
7 degrees
9.circle
13 equidistant
hope this helps
Can someone plss help me with these questions!!
Answers
Answer:
1 year data analysis of input and output
How much cubic centimeters of dirt must be removed when digging for a foundation of a building if the excavation is 32m long, 12m wide, and 8m deep
Answers
Answer:
3,072m
Step-by-step explanation:
32 × 12× 8= 3,072 (This is only you are multiplying them all)
If you are trying to find the area then its: 384m
In a fruit punch drink, the 3 ingredients are apple juice, orange juice and cranberry juice. If 3/4 of the drink is apple juice and 1/10 is orange juice then write the ratio of cranberry juice to apple juice to orange juice in its simplest form.
Answers
Answer:
15/20 : 2/20 : 3/20 or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher
Step-by-step explanation:
We know that there are 3 ingredients.
3/4 apple juice
1/10 orange juice
We want to know how much cranberry juice to apple juice to orange juice.
First, let's start with getting common denominators.
The LCD (least common denominator) between these two fractions is 40. (4 * 10)
So:
3/4 * 10/10 = 30/40
1/10 * 4/4 = 4/40
Now we know them with equal denominators. Now let's subtract them from the whole (40/40) to find out how much cranberry juice.
40/40 - 30/40 - 4/40 = 6/40
Cranberry juice = 6/40 of the whole.
Now we can find the ratio in its simplest form.
30/40 : 4/40 : 6/40
Can we simplify these fractions? yes.
The can all be simplified by 2
15/20 : 2/20 : 3/20
Since 2 can't be simplified by anything but 2 or 1, and 15 and 3 cannot be simplified by 2, this is your answer.
or you could put 3/4 : 1/10 : 3/20 but that's up to your teacher.
In order to join the football club, you have to pay a 120 Dirhams joining fee and pay 200
Dirhams every week. Write this relation in a slope intercept form.
Answers
Answer:
y = 200x + 120Step-by-step explanation:
One off fee is 120 Dirhams and weekly charge is 200 Dirhams.
The equation for this relation is:
y = 200x + 120, where x- the number of weeksFind x to the nearest tenth.
8
6
X
Answers
Answer:
x ≈ 5.3
Step-by-step explanation:
a²+b²=c²
c is always the hypotenuse in a right angle triangle.
6² + x² = 8²
36 + x² = 64
64 - 36 = 28
x² = 28
x = √28
Use calculator from here.
√28 = 5.29150262213
5.29150262213 ≈ 5.3
Because the number after 2, which is 9, is greater than 5, the nearest tenth is 5.3, not 5.2.
Question 1 (5 points)
Dilate the rectangle below by a scale factor of 2. If the current side lengths are 15
and 8, what are the side lengths on the new dilated rectangle?
In your answer, give the new side lengths for the dilated image and explain how you
calculated them.
Answers
Answer:
AB and CD would be 30
AC and BD would be 16
Step-by-step explanation:
The scale factor is what you multiply the sides by. Dilate means wider or larger so you multiply each side by the scale factor of 2 to get the higher scaled rectangle.
Please answer this for the love of God!! :(
Answers
Answer:
4(5x+4)
Step-by-step explanation:
The factors of 16 are: 1, 2, 4, 8, 16
The factors of 20 are: 1, 2, 4, 5, 10, 20x
Then the greatest common factor is 4.
how do i solve b^2-5b+3
Answers
Answer:
[tex]x {}^{2} - 5x = - 3 \\ x( x - 5) = - 3 \\ x = - 3 \\ x - 5 = - 3 \\ x = 2[/tex]
part one is the first pic the second part is the one that starts with the result.
Kindly solve the question
Answers
Answer:
in the picture
Step-by-step explanation:
in the picture
Answer:
6.4 = b and 7.8 = a
Step-by-step explanation:
Using the formula:
a^2 + b^2 = c^2
we can find the length of b
for the first triangle
now we just plug in the lengths.
5^2 + 4^2 = b^2
simplify into :
25 + 16 = b^2
add
41 = b^2
now in order to get rid of the ^2, we just find the square root of 41.
√41 ≈ 6.4
6.4 = b
Now we just need to solve for A
since we know
a^2 + b^2 = c^2 that must mean
c^2 - b^2 = a^2
so this is the formula we will be using.
now we just plug in the lengths of the second triangle into this equation.
10.5^2 - 7^2 = a^2
simplifies into
110.25 - 49 = a^2
subtract
61.25 = a^2
now we just find the square root of 61.25.
√61.25 = 7.8
7.8 = a
you can check this by putting it back in the formula
a^2 + b^2 = c^2
I will do this quickly (only for the second triangle)
we know
a = 7.8
b = 7
c = 10.5
7.8^2 + 7^2 = 10.5^2
simplifys into
60.84 + 49 = 110.25
60.84 + 49 ≈ 110
110.25 ≈ 110
110 = 110
which proves that this is correct.
please help (images below)
Answers
Answer:
2) D
because:
[tex] \frac{9}{1} \times 4 \\ 9 \times 4 \\ 36 \: is \: not \: equal \: to \: 4[/tex]
4) B
because:
[tex] \frac{5}{5} \times 8 \\ 1 \times 8 \\ 8 \: is \: equal \: to \: 8[/tex]
tanya is 1.6m tall and sid is 2m tall find the ratio of tanya height to sid’s height
Answers
Answer:
4 : 5
Step-by-step explanation:
tanya : sid = 1.6 : 2 ( divide both parts by 0.4 )
= 4 : 5
Find at least five solutions to graph the linear equation 0x -
3y = 15
Answers
Answer:
Any points across y=5. ex: (-2,5) (0,5) (1,5), (3,5) (4,5)
Step-By-Step Solution
(3y=15)/3 divide all by 3
and get y=5
any 5 points that gave y=5 will work
Find the domain for the expression:
y/y-5 + 1/y+8
Answers
Answer:
1/y+4
Step-by-step explanation:
1-5+1/y+8
1/y+(1-5+8)
1/y+4
[tex] \frac{y}{y} - 5 + \frac{1}{y} + 8 [/tex]
→[tex](1 - 5) + \frac{1}{y} + 8[/tex]
→[tex]-4 = \frac{ - 4}{1} = \frac{ - 4 \: • \: y}{y} [/tex]
→[tex] \frac{ - 4 \: • \: y + 1}{y} = \frac{1 - 4y}{y} [/tex]
→[tex] \frac{(1 - 4y)}{y} + 8[/tex]
→[tex]8 = \frac{8}{1} = \frac{8 \: • \: y}{y} [/tex]
→[tex] \frac{(1 - 4y) + 8 \: • \: y}{y} = \frac{4y + 1}{y} [/tex]
→[tex] \frac{4y + 1}{y} [/tex]
Kyle types college reports for $1.70 per page. He also charges $6 to cover the cost of supplies. How many pages did he write if he charged $40.00? Write and solve an equation.
Answers
Answer:
$1.70p + $6 = $40.00
Step-by-step explanation:
$1.70p + $6 - $6 = $40.00 - $6
$1.70p = $34.00
$1.70p ÷ 1.70 = $34.00 ÷ 1.70
p = 20
He wrote 20 pages.
What is an equation of the line that passes through the points (-5, 1) and (5,5)
Answers
Answer:
Equation: y = 0.4x + 3.
Step-by-step explanation:
picture
What is the value of the rational expression 6-x/ x+5 when x= 2
A.)4/7
B.)4/5
C.)8/7
D.)8/5
(Please do hurry.)
Answers
Answer:
A
Step-by-step explanation:
(6-2)/(5+2)
4/7
Answer:
4/7 6 -2/2+5 = 4/7
simple