The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
Let x represent the cost of each movie, y represent the cost each microwave and z represent the cost of each DVD.
For the basic:
2x + y = 15.50 (1)
For medium:
2x + 2y + z = 37 (2)
For super:
4x + 3y + 2z = 72.50 (3)
[tex]\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right] \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}15.5&37&72.5\end{array}\right] \\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] =\left[\begin{array}{ccc}2&1&0\\2&2&1\\4&3&2\end{array}\right]^{-1}\left[\begin{array}{c}15.5&37&72.5\end{array}\right]\\\\\\ \left[\begin{array}{c}x&y&z\end{array}\right] = \left[\begin{array}{c}7&1.5&20\end{array}\right] =[/tex]
The price of each movie is $7, the price of each microwave popcorn is $1.50 and the price of each DVD is $20.
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-8/9 - (2 1/3)
show all your work
Answer:
1 8/9 - 1 2/3 = 2/
9
≅ 0.2222222
Step-by-step explanation:
How do you solve fractions step by step?
Conversion a mixed number 1 8/
9
to a improper fraction: 1 8/9 = 1 8/
9
= 1 · 9 + 8/
9
= 9 + 8/
9
= 17/
9
To find a new numerator:
a) Multiply the whole number 1 by the denominator 9. Whole number 1 equally 1 * 9/
9
= 9/
9
b) Add the answer from previous step 9 to the numerator 8. New numerator is 9 + 8 = 17
c) Write a previous answer (new numerator 17) over the denominator 9.
One and eight ninths is seventeen ninths
Conversion a mixed number 1 2/
3
to a improper fraction: 1 2/3 = 1 2/
3
= 1 · 3 + 2/
3
= 3 + 2/
3
= 5/
3
To find a new numerator:
a) Multiply the whole number 1 by the denominator 3. Whole number 1 equally 1 * 3/
3
= 3/
3
b) Add the answer from previous step 3 to the numerator 2. New numerator is 3 + 2 = 5
c) Write a previous answer (new numerator 5) over the denominator 3.
One and two thirds is five thirds
Subtract: 17/
9
- 5/
3
= 17/
9
- 5 · 3/
3 · 3
= 17/
9
- 15/
9
= 17 - 15/
9
= 2/
9
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(9, 3) = 9. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 9 × 3 = 27. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - seventeen ninths minus five thirds = two ninths
Write an inequality to represent the possible
combinations of x cupcakes and y cakes sold.
Answer:
The inequality for this would be n ≥ 20.
We know this because it must be larger than 40. We also know it can possibly be equal because the statement says "at least".
Step-by-step explanation:
Geri jogs every fourth day. Sarah jogs along the same path every fifth day. Both girls jog on the path on July 7. What is the next date they will both jog on the path?
Answer:
The next day they will both run on the path is July 27th.
We can find this by making columns writing every date and seeing when they intersect.
4 5
8 10
12 15
16 20
20
We can then add this to the current date to find the date they will next run together.
Step-by-step explanation:
hope this helps. . . <3
good luck! UwU
1) State the area of the given trapezoid.
5m
5m
8m
4m
A) 20 square meters
B) 26 square meters
C) 32 square meters
D) 40 square meters
Answer:
B
Step-by-step explanation:
5m+5m8m+4m=24m2 of the primeter
Can someone help me Expand 3(z+2)
Answer: 3z+6
Step-by-step explanation:
(3) (z+2)
(3) (z)+(3) (2)
3z+6
Answer 15 and 16 and get 50 points
No link
Answer:
(1) x=5 (2) I think the answer to 16 is 3/5 but not 100% sure
Step-by-step explanation:
(1) 29=5x+4
Step 1: Flip the equation.
5x+4=29
Step 2: Subtract 4 from both sides.
5x+4−4=29−4
5x=25
Step 3: Divide both sides by 5.
5x /5 = 25 /5
x=5
Clarke earns
2.5
%
interest a savings account each year. If Clarke deposits
$
2
,
000.00
into a savings account, how much interest will Clarke earn during the first year?
Answer:
$ 50.00
Step-by-step explanation:
Hope this helps!
n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.
Answer:
Proof below.
Step-by-step explanation:
Let f(n)=10+ n^2 - (n - 2)^2.
We want to prove f is even for integer n > or = 1.
Let's show f is even for the base case, n=1.
f(1)=10+1^2-(1-2)^2
f(1)=10+1-(-1)^2
f(1)=11-(1)
f(1)=10
f(1) is even.
Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.
Note: f(k)=10+ k^2 - (k - 2)^2.
We want to show f(k+1) is even.
f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2
f(k+1)=10+ (k+1)^2 - (k-1)^2
f(k+1)=10+ ((k+1)^2 - (k-1)^2)
That difference is a difference of squares. Let's try factoring it.
f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])
f(k+1)=10+ (2)(2k)
Multiply:
f(k+1)=10+4k
Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.
This proves for all integers n>=1 that f(n) is even.
We could have this without induction then. Let's do that here below this line.
-------------------
10+ n^2 - (n - 2)^2
10+[n^2 - (n - 2)^2]
Factor difference of squares:
10+(n-(n-2))(n+(n-2))
Simplify:
10+(2)(2n-2)
Factor:
2[5+(2n-2)]
Because of the factor of 2, the given expression is always even for integer n.
Thinking about the function of the flower organ, what advantage does a flowering plant have over a nonflowering plant?.
Answer: The flowering plant grows fruit, while the nonflowering plant doesn't.
Step-by-step explanation: Brainliest please
Flowering plants have reproductive organs, which is an advantage over non-flowering plant.
What are flowering plants?A plant that produces flowers, fruit, and seeds also called angiosperm.
Given that, advantage a flowering plant have over a non-flowering plant,
Flowering plants have a reproductive advantage over gymnosperms (non-flowering) because of different adaptations, such as having flowers that allow for pollination and fruit for seed dispersal.
Hence, flowering plants have reproductive organs, which is an advantage over non-flowering plant.
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Help me :) !
A plant is already 41 centimeters tall, and it will grow one centimeter every month. The plant's height, h (in centimeters), after m months is given by the following function.
h(m)=41+m
What is the plant's height after 28 months?
Answer:
69
Step-by-step explanation:
Answer:
Answer
Step-by-step explanation:
H (28) = 41 + 28
H (28) = 69
Each month is +1 cm, which means 41 + 28 = 69 cm is the plant height in 28 months
H,200 feet per hour. What is the speed in miles per hour?
Answer:
0.0378788 mph is the correct answer here
(6-i\sqrt(2))/(6+i\sqrt(2))
Answer: 18 sqrt= i
Hope this helps :)
Step-by-step explanation:
PLEASE HELP!!!
what is the value of the expression 2/5m−1/3 when m = 3?
Answer:
13/15
Step-by-step explanation:
I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!
The value of the expression if m = 3 is 13/15
Given the expression as shown below:
2/5 m - 1/3If the value of m = 3, hence the expression will become;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15\
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Hence the value of the expression if m = 3 is 13/15
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PLS HELP WILL MARK YOU BRAINLIEST!
Answer:
Option C
Step-by-step explanation:
[tex]\frac{(2x^3y^2z)^2(-3xyz^2)^2}{18x^6y^7z^3} =[/tex]
[tex]\frac{(4x^6y^4z^2)(9x^2y^2z^4)}{18x^6y^7z^3} =[/tex]
[tex]\frac{36x^8y^6z^6}{18x^6y^7z^3} =[/tex]
[tex]\frac{2x^2z^3}{y}[/tex]
16. The quotient of 7 and a number
Answer:
7/n would be a algebraic express
Step-by-step explanation:
Find the area of the figure below, formed from a triangle and a parallelogram
Answer:
32 square millimeters
Step-by-step explanation:
Parallelogram area formula => B x h
Base = 6 mm
Height = 4 mm
Area = 24 mm^2
Triangle area formula B x h x 1/2
Base = 8 mm
Height = 2 mm
Area = 8 mm^2
Total area = 24 + 8 = 32 mm^2
The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters so option (C) will be correct.
What is surface area?The quantity of space enclosing a three-dimensional shape's exterior is its surface area.
If we say side square then it is an area of the square but for a cuboid, there are 6 faces so the surface area will be external to all 6 surfaces area.
As per the given parallelogram and a triangle,
The bigger side of parallelogram = 6 + 2 = 8mm
Smaller side = 6mm
The perpendicular distance between the sides of the parallelogram = 4mm
The base of the triangle = 2mm
Height of triangle = 4 mm
Therefore, the complete area ⇒
(1/2)[8 + 6)×4 + (1/2)×2×4 = 32 mm²
Hence "The total surface area of the figure consists of a parallelogram and a triangle is 32 square millimeters".
To learn more about surface area,
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(3/4(3/5) simplify i need the answer because i dont get it
Answer:
35 is already in the simplest form. It can be written as 0.6 in decimal form (rounded to 6 decimal places).
...
Reduce 3/5 to lowest terms
Find the GCD (or HCF) of numerator and denominator. GCD of 3 and 5 is 1.
3 ÷ 15 ÷ 1.
Reduced fraction: 35. Therefore, 3/5 simplified to lowest terms is 3/
Step-by-step explanation:
The ratio of dogs to cats at a local animal shelter is 13/25. Which statement must be true.
for every 13 dogs, there are 25 cats. is the answer.
In parallelogram NPQR if m&NPQ=125° find m&PQR.
Answer:
55
Step-by-step explanation:
(360 - 125 - 125) / 2 = 55
Opposite angles are the same in a parallelogram.
does the height of the shooter affect the number of goals scored in a netball match
Write the word sentence as an equation. A number divided by -8 is -13
Answer:
104
Step-by-step explanation:
-8 * -13 = 104
104/-8=-13
A city has 3 new houses for every 7 old houses. If there are 21 new houses in the city, how many old houses are there
A. 49
B. 47
C. 52
D. 51
Answer:
A. 49
Step-by-step explanation:
ratio of houses is 3 new to 7 old
21 new is 7 times more than 3, so 7 will also be 7 times more
so, 21 to 49
I hope that made sense
Find the solution to the system of equations:
7x-8y=-23
7x-7y=-14
Answer:
Solutions: x = 7, y = 9; or (7, 9)
Step-by-step explanation:
Given the following systems of linear equations:
7x - 8y = -23
7x - 7y = -14
Since the coefficients of x in the given system have the same sign, we could use the process of elimination by subtracting the two equations.
7x - 8y = -23
- 7x - 7y = -14
-y = -9
Divide both sides by -1 to solve for y:
[tex]\frac{-y}{-1} = \frac{-9}{-1}[/tex]
y = 9
Substitute the value of y into either one of the given equations to solve for x:
7x - 7y = -14
7x - 7(9) = -14
7x - 63 = -14
Add 63 to both sides:
7x - 63 + 63 = -14 + 63
7x = 49
Divide both sides by 7 to solve for x:
[tex]\frac{7x}{7} = \frac{49}{7}[/tex]
x = 7
Double-check whether x = 7 and y = 9 are valid solutions to the given system:
x = 7, y = 9:
7x - 8y = -237(7) - 8(9) = -23
49 - 72 = -23
-23 = -23 (True statement).
7x - 7y = -147(7) - 7(9) = -14
49 - 63 = -14
-14 = -14 (True statement).
Therefore, the solution to the given systems of linear equations are x = 7, and y = 9, or (7, 9).
How many sides does a polygon have if the sum of the interior angles is 360
Answer:
4
Step-by-step explanation:
we know that triangles have 180 degrees inside them and quadrilaterals are made up of two triangles, since 180 x 2 is 360 we know it's a quadrilateral.
solve pls brainliest
Answer:
Step-by-step explanation:
x= cost per gallon
10x=23
x=2.3
2.3*15= 34.5
Find the perimeter. Simplify your answer.
Answer:
32t
Step-by-step explanation:
parallelogram. two opposite sides r equal.
2(8t+2)+2(8t-2)
16t+4+16t-4
32t
A rectangle has a length at least four more than five times the width. If the
perimeter is at least 44 units, find the least possible width.
Answer:
width of 3 units
Step-by-step explanation:
let 'w' = width
let '4+5w' = length
P = 2l + 2w
44 = 2(4+5w) + 2w
44 = 8 + 10w + 2w
36 = 12w
w = 36/12
w = 3
please help me it's done in 4 mins I beg you
Answer:
the slope rise/run = 4/6
find the slope of the line that passes through the following points. (-2, 8) and (3, -2)
Answer:
m=-2
Step-by-step explanation:
m=y2-y1/x2-x1
m=-2-8/3-(-2)
m=-2-8/3+2
m=-10/5
m=-2
a
8) A bridge builder plans to construct a cable suspension bridge in your town. The cable being used will form
a curve modeled by the equation h(x) = 3x2 - 6x + 200, where x represents the length of cable used (in feet)
and h(x) represents the height of the cable (in feet). At what height will the cable hang closest to the bridge
deck?
Answer:
197
Step-by-step explanation:
https://www.cusd80.com/cms/lib/AZ01001175/Centricity/Domain/8294/HA2%20Chapter%202%20Review%20Key.pdf