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.
Find out more at: https://brainly.com/question/21105092
What is the slope between the points (-2, 3) and (1, 0)
There are
r red marbles and g green marbles in a bag. When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3 .
Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4.
What is the ratio of r to g? Your ratio must be in its simplest form.
The ratio of red marbles to green marbles, [tex]r:g=5:7[/tex]
The first sentence about what happens to the bag of marbles;
"When one red marble is removed and one green marble added, the ratio of red to green marbles is now 2:3"
Leads to the fractional equation
[tex]\frac{r-1}{g+1}=\frac{2}{3}[/tex]
After rearranging, we get equation (1) [tex]3r-2g=5[/tex]
The next sentence about what happens to the bag of marbles;
"Subsequently, 6 red marbles and 4 green marbles are added, such that the ratio of red to green marbles is now 3:4"
Leads to the fractional equation
[tex]\frac{r-1+6}{g+1+4}=\frac{3}{4}\implies \frac{r+5}{g+5}=\frac{3}{4}[/tex]
Since the first change to the bag was done without replacement. After rearranging, we get equation (2) [tex]4r-3g=-5[/tex]
So we need to solve the simultaneous equations for [tex]r[/tex] and [tex]g[/tex]
[tex]3r-2g=5\\4r-3g=-5[/tex]
Which gives [tex]r=25[/tex] and [tex]g=35[/tex]
Therefore, the ratio, [tex]r:g=25:35=5:7[/tex]
Another example of ratio word problems can be found in the link below:
https://brainly.com/question/11343888
Kate is selling jars of homemade pickles (p) and jars of relish (r). She has enough cucumbers for at most 50 jars of her products. The pickles sell for $6 per jar, and the relish sells for $4 per jar. She needs to make at least $260. When modeling this situation with a system of inequalities, which statements are true? A) p + r ≤ 50 6p + 4r > 260 B) p + r ≥ 50 6p + 4r ≥ 260 C) p + r ≤ 50 6p + 4r ≥ 260 D) p = 32 and r = 18 is a solution to the system. E) p = 28 and r = 22 is a solution to the system.
Answer:
C and E
Step-by-step explanation:
I just took the test and it said so.............................................................876,198 rounded to the nearest thousand
Your answer should be 876.
Answer:
876,000
Step-by-step explanation:
876,000
Mr. Green is still repairing that old, rundown house he recently purchased. He finally fixed that leaky faucet in the kitchen, but now the bathroom faucet is leaking. He’s wondering if the dripping rate is the same as the kitchen, so again he starts his observations. However, this time he notes that for the bathroom faucet, 8 ounces of water dripped in 12 minutes.
A) At this rate, how many ounces of water will drip in a day?
Answer:
960 ounces in 1 day
(Sorry for a late response, I just logged on)
Step-by-step explanation:
Most of that information is negligable (not important) besides 8 ounces in 12 minutes.
so an hour is 60 minutes, if we multiply both parts of the problem by 5 we get
40 ounces in 1 hour
a day is 24 hours, so if we multiply both sides by 24 well get our answer
960 ounces a day
-- Gage Millar, Algebra 1/2 tutor
Answer:
960 ounces
Step-by-step explanation:
First, let's find how much water will drip in an hour (60 minutes), so we can make an equation:
8/12 = x/60
And if you multiply both sides of the equation by 60 you will get 8*5 = x which is 40. So, we know that in one hour, 40 ounces of water will drip from the bathroom faucet. To find how much water will drip in a day, just multiply 40 by 24 (since there are 24 hours in a day). That would result in 960.
1The lengths of pregnancies are normally distributed with a mean of 271 days and a standard
deviation of 20 days. If 64 women are randomly selected, find the probability that they have a mean
pregnancy between 271 days and 273 days.
A) 0.2881
B) 0.5517
C) 0.2119
D) 0.7881
[tex]probablity = \frac{271}{273} \\ = 0.99267399267[/tex]
If Rick buys a remote control car for $33.00, what is his selling price?
Answer:
a
Step-by-step explanation:
what is 29,032 to the nearest thousands
Answer:
29,000
Step-by-step explanation:
Answer:
30,000 i believe
Step-by-step explanation:
if that isnt the right answer then its just 29,000
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
Use the following function rule to find f(1).
f(x) = 8^x+7
f(1) =
Given the function [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
The given function is:
[tex]f(x)=8^x+7[/tex]
To find f(1), substitute x = 1 into f(x) and evaluate for the result
[tex]f(1)=8^1+7[/tex]
Simplify the resulting equation to get the final result
f(1) = 8 + 7
f(1) = 15
Therefore, given [tex]f(x)=8^x+7[/tex], the value of f(1) is f(1) = 15
Learn more here: https://brainly.com/question/25747693
a) 60 square meters in square centimeters.
Answer:
600,000 cm²
Step-by-step explanation:
We know the conversion from meters to centimeters to be
1 m = 100 cm.
We need the conversion factor from square meters to square centimeters.
Start with
1 m = 100 cm
Square both sides.
(1 m)² = (100 cm)²
1 m² = 10,000 cm²
Now that we have the correct conversion factor from m² to cm², we can do the conversion of 60 m² into cm².
60 m² × (10,000 cm²)/(1 m²) = 600,000 cm²
Someone help me with this questions pleaseee
Answer:
i think its b, 4cm
Step-by-step explanation:
If the Diameter is 10 of a circle then what is the radius.
Answer:
5
Reasoning
[tex]Diameter=2*radius[/tex]
Answer:
5
Step-by-step explanation:
the radius is always half of the diameter
solve pls brainliest
Answer:
96 cm^3
Step-by-step explanation:
multiply the three dimensions: 4*6*4=96
Answer:
V=l×W×h
=4cm×6cm×4cm
=96cm cubic
Solve the equation. Enter your answer in the box. V27
Simplify the following expression.
5/6 x 3/5
Answer:
1/2
Step-by-step explanation:
5/6 • 3/5
15/30 = 1/2
Answer:
1/2
Step-by-step explanation:
For fraction multiplication, multiply the numerators and then multiply the denominators to get
5 × 3/ 6 × 5 = 15/30
This fraction can be reduced by dividing both the numerator and denominator by the Greatest Common Factor of 15 and 30 using
GCF(15,30) = 15
15 ÷ 15/30 ÷ 15 = 1/2
Therefore:
5/6 × 3/5 = 1/2
-2/9 as a decimal help
Answer:
-.222
Step-by-step explanation:
Hey there!
To find the decimal form of a number you have divide the numerator (top number) from the denominator (bottom number) and you should have your result then
a / b
= a ÷ b
= result
Equation: -2/9
= -2 ÷ 9
= -0.222222
Answer: -0.222222
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
2 1/4 x 3 2/5
show all your work
Answer:
153/20
Step-by-step explanation:
I assume you're asking
[tex]2 \frac{1}{4} \times 3 \frac{2}{5} [/tex]
So
[tex] \frac{9}{4} \times \frac{17}{5} [/tex]
=
[tex] \frac{153}{20} [/tex]
need help with pre-cal please
Answer:
x = n² ± n√(n² + 8)Step-by-step explanation:
x ≠ 0, n ≠ 04/x² + 1/x = 1/(2n²)(x + 4)/x² = 1/(2n²)2n²(x + 4) = x²x² - 2n²x - 8n² = 0D = (-2n²)² - 4(-8n²) = 4n⁴ + 32n² = 4n²(n² + 8)x = (2n² ± 2n√(n² + 8))/2x = n² ± n√(n² + 8)Rhonda started a business. Her business made $30,000 in profits the first year. Her annual profits have increased by an average 5% each year since then.
A) Write an iterative rule to model the sequence formed by profits of Rhonda’s business each year.
B) Use the rule to determine the annual profits of Rhonda’s business can be predicted to be 15 years from the start of her business. Round your answer to the nearest dollar. Do not round until the end, show your work.
Using an exponential function, it is found that:
a) The model is: [tex]A(t) = 30000(1.05)^t[/tex]
b) Her predicted profit is of $62,368.
An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the growth rate.Item a:
$30,000 in profits on the first year, hence [tex]A(0) = 30000[/tex].Grows 5% each year, hnce [tex]r = 0.05[/tex]Then:
[tex]A(t) = A(0)(1 + r)^t[/tex]
[tex]A(t) = 30000(1 + 0.05)^t[/tex]
[tex]A(t) = 30000(1.05)^t[/tex]
Item b:
[tex]A(15) = 30000(1.05)^{15} = 62368[/tex]
Her predicted profit is of $62,368.
For more on exponential functions, you can check https://brainly.com/question/25537936
what is the slope of y =4 - 2x ?
Answer:
−2.
Step-by-step explanation:
y = 4 − 2x? b is the y -intercept. Here, 4 is b and −2 is m. Therefore, the slope is −2.
7
During spring training, the Detroit Tigers won about 2/3 of the games they played while the
Cleveland Indians won 7/15
of the games they played. What fraction more of the games did
Detroit win than Cleveland?
please answer my question and dont give me a link
Answer:
3/15 or 0.2
Step-by-step explanation:
You would need to subtract as it is asking for amount MORE won.
2/3 - 7/15
Make the denominator the same in order to subtract.
= 10/15 - 7/15
Subtract.
= 3/15
There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.
Answer:
54Step-by-step explanation:
There are 120 members of the band at Erin's school. 45% of the members are 7th graders. How many members are 7th graders.
you simply have to find 45% of 120
120 : 100 * 45 = 54
Put these in least to greatest
1/3,-3,3,0
Answer:
-3 , 0 , 1/3 , 3
Step-by-step explanation:
1/3= 0.3333
divide. write your answer in simplest terms. 3/4 divided by 1 1/5
Answer:
1 13/20
Step-by-step explanation:
3/4 divide by 5/11
=3/4 times 11/5
=33/20
Convert
=1 13/20
Find the slope of the line that passes through the point (-3,20), (12,15)
help me please (show work)
Answer: A, B, C, and D have the same volumes: 100 units^3
Step-by-step explanation:
The details are attached. Use the volume formula for the respective shapes. Bear in mind that B is he area of the base (I assume). It is the
[tex]\pi[/tex][tex]r^{2}[/tex] in the formulas that have a round base, and the width x length for bases that are rectangular (or square).
I’ve posted this so many times someone finish this so I can sleep and not wake up to another assignment
Find the Slope. Show the solution.
1. m = y2 - y1/ x2 - x1
| x | 0 | 1 | 2 | 3 | 4 |
| y | 2 | 3 | 4 | 5 | 6 |
2. y= 2x - 5
m = rise/run
3. (1,8) & (0,2)
Please answer correctly,thank youu! :)
What is the slope for this table?
Answer:
-1/2
Step-by-step explanation:
take two points and apply
(8-7)/(0-2)=1/-2=-1/2
