How can I divide greater numbers using a standard procedure
A bakery purchased 12 pounds of sugar and 15 pounds of flour from its supplier for $9.30. The next day at the same prices they purchased 10 pounds of flour and four pounds of sugar for $4.60. Find the cost per pound of flour.
To find the cost per pound of flour, we set up two equations based on the purchases and solved the system of linear equations, resulting in a cost of $0.30 per pound of flour.
The question involves solving a system of linear equations to determine the cost per pound of flour. By setting up two equations based on the given transactions, we can solve for the prices of sugar and flour. Let's designate the cost per pound of flour as f and the cost per pound of sugar as s.
The first purchase equation is: 12s + 15f = $9.30.
The second purchase equation is: 4s + 10f = $4.60.
To solve for f, we can multiply the second equation by 3, which gives us 12s + 30f = $13.80, then subtract the first purchase equation from this to eliminate s and solve for f. By subtracting we get: 15f - 30f = $13.80 - $9.30, which simplifies to -15f = $4.50.
Dividing both sides by -15 gives us the cost per pound of flour: f = $0.30.
A water tank holds 18000 gallons. How long will it take for the water level to reach 6000 gallons if the water is used at an average rate of 450 gallons per day?
Keywords:
Tank, capacity, water, gallons, rule of three, variable, days
For this case we have a tank with a capacity of 18,000 gallons, we want to know how many days 12000 gallons of the tank are emptied, with the use of water following an average rate of 450 gallons per day. So we make a rule of three according to the use of water per day:
450 gallons -----------> 1 day
12000 gallons -------> x
Where the variable "x" represents the number of days when water takes to reach 6000 gallons.
[tex]x = \frac {12000 * 1} {450}\\x = 26.67[/tex]
Rounding the nearest whole we have:
[tex]x = 27[/tex]
Answer:
For the tank to go from 18,000 gallons of water to 6000 gallons of water, it should take approximately 27 days, using the water at an average rate of 450 gallons per day.
[tex]x = 27\ days[/tex]
What is an equation for the linear function whose graph contains the points (2, 5) and (3, 0) ?
Enter your answers in the boxes.
y- = (x-2)
Answer:
the answer is y-5=-5(x-2)
Step-by-step explanation:
I got a one hundred on my quiz so I know for sure this is correct. Also It make sense when you do the math. brainiest pls
What is bigger pint or quart
A quart is larger than a pint, as 1 quart equals 2 pints or 4 cups.
In the US customary system of measurement, both pints and quarts are units of volume. Here's the relationship between them:
1 pint = 2 cups
1 quart = 2 pints
To compare the two, let's convert them to a common unit, such as cups:
1 quart = 2 pints = 2 * 2 cups = 4 cups
Since 1 quart equals 4 cups and 1 pint equals 2 cups, it is evident that a quart is larger than a pint. It contains twice the volume of a pint.
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A clipboard cost $2.23.It cost $0.58 more than a notebook.Lisa bought two clipboards and one notebook.She paid with a ten dollar bill.How much change does Lisa get?Use a tape diagram to show your thinking.
Lisa gets a change amount of [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex] when she pays a ten-dollar bill for two clipboards and a notebook.
Further explanation:
It is given that the cost of a clipboard is [tex]\$\ 2.23[/tex].
Also, it is known that the clipboard costs [tex]\$\text{ }0.58[/tex] more than a notebook so the cost of one notebook is calculated as,
[tex]\fbox {\begin\\\\\begin{aligned}\text{Cost of a notebook}&= 2.23-0.58\\&=1.65\end{aligned}\end{minispace}}[/tex]
Lisa bought two clipboards and one notebook then the total cost for items bought is obtained as the sum of cost of two clipboard and cost of one notebook.
[tex]\fbox {\begin\\\\\begin{aligned}\text{Total cost of two clipboard and one notebook}&= 2.23+2.23+1.65\\&=6.11\end{aligned}\end{minispace}}[/tex]
Lisa paid a ten dollar bill for the purchase of two clipboard and one notebook, so the total change she should get back is obtained as the difference of total cost of two clipboard and one notebook from the total paid price.
The tape diagram for the price paid for two clipboards and one notebook that Lisa bought is as shown in Figure 1 (attached at the end).
Therefore, the change that Lisa gets back is calculated as,
[tex]\boxed{\begin{aligned}\text{Change that Lisa gets}&= 10-6.11\\&=3.89\end{aligned}}[/tex]
Thus, the change amount that Lisa gets after she paid ten dollar for two clipboard and one notebook is [tex]\fbox {\begin\ \bf \$ 3.89\\\end{minispace}}[/tex].
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Answer details
Grade: Middle school
Subject: Mathematics
Chapter: Simplification
Keywords: notebook, clipboard, ten-dollar bill, paid, costs, Lisa, bought, $2.23, $0.58, $4.46, change amount, total cost, amount, two clipboards.
what is the decimal numeral for ten and five hundredths?
mark an fred had some money in the ratio 6:1. mark gave half of his money to fred . what is the ratio of the amount of money mark had left to the amount mark had let to the amount of money fred had left
The requried ratio of the mark let to the amount of money Fred had left is 3:4.
What is the Ratio?The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.
Here,
mark an Fred had some money in the ratio 6:1. Mark gave half of his money to Fred.
Total proportion of money = 6 + 1 = 7,
Now,
assume that Mark has 6 coins and Fred has 1 coin,
Mark giving half of his coin to Fred means mark give 3 coins to fred,
Now,
Mark has 3 coins and Fred has 4 coins,
the ratio is given as
= 3 / 4
Thus, the requried ratio of the mark had left to the amount of money fred had left is 3:4.
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I will put your answer as brainliest if you answer right now. I need help with #3
how many times does 48 go into 132
Final answer:
To determine how many times 48 goes into 132, perform a division, resulting in 48 going into 132 exactly 2 times with a remainder of 36.
Explanation:
The student has asked how many times 48 goes into 132. To find out, we perform a division, with 132 being the dividend and 48 being the divisor.
We start the division process by seeing how many times 48 can fit into 132. Dividing 132 by 48, we get:
48 goes into 132 twice (2 times), which equals 96.
Subtract 96 from 132, which leaves us with a remainder of 36.
Since 36 is less than 48, we cannot divide any further without getting into fractions or decimals.
The result is that 48 goes into 132 a total of 2 full times with a remainder of 36.
A system of equations is graphed on the coordinate plane.
y=−6x−3 y=−x+2
What is the solution to the system of equations?
Enter the coordinates of the solution in the boxes.
Answer:
6x-3 is going to be 9x and then add x+2 then it equals 11x :)
Step-by-step explanation:
Answer the question in the picture
What is the change in elevation from 134 feet below sea level to 29 feet above sea level?
Answer:its 163 or -163
Step-by-step explanation:
What is 5/3 to the second power
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Your local gas stations are having a price war. During the past 7 days they have lowered the price of
regular gas by $.02 each day. Define a variable. Then write and solve an equation to find the total
change in gas price. Show your work.
How can you show two objects are proportional with a table,graph, and a equation?
To demonstrate proportionality between two objects, utilize a table to observe constant ratios, plot points on a graph to confirm a linear relationship passing through the origin, and formulate an equation representing the proportional relationship.
To demonstrate proportionality between two objects, you can use a table, graph, and equation.
Firstly, create a table with corresponding values of the two objects. If they are proportional, their ratios should remain constant.
Secondly, plot the points on a graph with one object on the x-axis and the other on the y-axis.
If the points form a straight line passing through the origin, it indicates proportionality.
Lastly, formulate an equation representing the relationship between the two objects.
For example, if the objects are x and y, and they are proportional, then y = kx, where k is the constant of proportionality.
By analyzing the table, graph, and equation, you can conclusively establish proportionality between the two objects.
Whats 4 2/3 divided By 2/3
Using the porpotions: WHIP= (Walks+Hits) divide by Innings Pitched. The pitcher wants to lower his WHIP from 1.53 to 1.3. How many more innings would he have to pitch without any walks or hits? Is this a reasonable goal? Explain your reasoning.
There were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if WHIP= (Walks+Hits).
What is an arithmetic operation?It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has a basic four operators that is +, -, ×, and ÷.
It is given that:
Using the portions: WHIP= (Walks+Hits) divide by Innings Pitched. The pitcher wants to lower his WHIP from 1.53 to 1.3.
From the question:
130 / (85 + x) = 1.3
After solving:
19.5 = 1.3x
x = 15
To achieve a target of 1.3 whip score, he would need to pitch 15 more innings without issuing any walks or hits.
Thus, there were 85 innings last question and 130 walks + hits which gave a whip score of 1.53 if WHIP= (Walks+Hits).
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39 divided by 5 remainder
if an application is 10.8 megabytes and the download is 60% complete. How much as been downloaded?
need help simplifying 23+6m+14+2m
how can I compare two fractions with the same numerator
use the distributive property to expand the expression 7(9x - 2)
Tony has 7/8 of a candy bar. he wants to split the bar into servings that are 3/10 of the bar. how many servings can he make?
How do you multiply polynomials by using the distributive property?
What percent of 20 is 4?
The absolute value of a number is added to the original number Kayla says the sum is always equal to 0 is she correct explain why or why not
Bren has a deck of cards. As shown below, each card is labeled a rule describing a pattern in a sequence. Select a card and decide on a starting number. Use the rule to write the first five terms in your sequence
We can choose a starting number to be 1. Following the rules from card one, the sequence would be as follows;
1, 2.6, 2.93, 9.43, 9.68
How to write the terms in a sequence
To write the terms in the sequence above, we started with the number 1. This is followed up by applying the rules listed on the card. So, we first add 1.6 to 1, then add 0.33, 6.5, and add 0.25. The resulting values that are borne from this addition would be 1, 2.6, 2.93, 9.43, 9.68.
Description of the pattern is a method that describes the rule or pattern governing the sequence without providing a specific formula or recursion. We could describe a sequence as increasing by 2 or alternating between 1 and 2.
a square has an area of 121 square meters what is the length of each side?
A baker is making an oversized sheet cake for a school dance. The recipe calls for 2 cups of sugar for every 3 cups of flour. How many cups of flour are needed, if she is using 18 cups of sugar
The baker will need 27 cups of flour to go with the 18 cups of sugar when making the oversized sheet cake for the school dance.
The given ratio states that for every 2 cups of sugar, 3 cups of flour are needed in the recipe. We are given that the baker is using 18 cups of sugar and we need to find the corresponding amount of flour.
To determine the amount of flour needed, we can set up a proportion based on the ratio. Let's use "x" to represent the unknown amount of flour:
2 cups of sugar / 3 cups of flour = 18 cups of sugar / x cups of flour
Cross-multiplying the proportion, we get:
2 cups of sugar * x cups of flour = 18 cups of sugar * 3 cups of flour
Simplifying further:
2x = 54
Dividing both sides by 2, we find:
x = 27
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