Ronaldo has three and three-sevenths sandwiches. He shares three-fourths of them with his family. How many sandwiches did Ronaldo share?
Ronaldo therefore feeds his family 2 and 4/7 sandwiches as he eats sandwiches that are three and three-sevenths .
what is unitary method ?A mathematical strategy for resolving proportionality issues is the unitary method. Finding the value of one unit of a quantity and utilising that value to determine the value of a different number of units of the same quantity is what this process entails. The unitary technique can be used, for instance, to determine the cost of any quantity of apples if you know that 5 apples cost $10. $10/5 = $2 would be the price of one apple. By multiplying the quantity of apples by the price of one apple, you could then calculate the price of any other number of apples. For instance, 8 apples would cost 8 x $2, or $16, to purchase.
given
Ronaldo eats sandwiches that are three and three-sevenths of a sandwich, which is an incorrect fraction:
3 3/7 = (7*3 + 3)/7 = 24/7
He divides these sandwiches into thirds and fourths among his family, making a total of:
(3/4) * (24/7) = (324)/(47) = 18/7
We can change this incorrect fraction into a mixed number because:
18/7 = 2 and 4/7
Ronaldo therefore feeds his family 2 and 4/7 sandwiches as he eats sandwiches that are three and three-sevenths .
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Solve the system of equation using elimination
Answer:
To Solve a System of Equations by Elimination
Write both equations in standard form. ...
Make the coefficients of one variable opposites. ...
Add the equations resulting from Step 2 to eliminate one variable.
Solve for the remaining variable.
Substitute the solution from Step 4 into one of the original equations.
here! ( happy hoildays!)
If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
The minimum cost that she will incur to fence her garden with dimensions, 32 m width and 48 m length, is K3,200.
How the minimum cost is ascertained:The minimum cost is a product of the multiplication of the perimeter of the garden and the cost of materials per meter.
The perimeter shows the total length around the garden, which is two lengths and two widths.
The width of the rectangular garden = 32 m
The length of the rectangular garden = 48 m
The perimeter of the rectangular garden = 160 m [2 (32 + 48)]
The cost of fencing materials per meter = K20
The minimum cost for fencing the garden = K3,200 (K20 x 160)
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Complete Question:A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
The minimum cost that will be used to fence a rectangular garden with length 48 m and w 32 m is K3200
How to find minimum costTo calculate the minimum cost required to fence the garden, we need to find the perimeter of the rectangular garden.
Perimeter is given as,
P= 2(l + w)
l = 48 m, w = 32 m
Thus,
P = 2(48 m + 32 m) = 2(80 m)
P = 160 m
Since the perimeter of the garden is 160 m, hence, we need 160 meters of fencing material.
Given that the cost of fencing material is K20 per meter, the total cost to fence the garden would be:
Total cost = 160 m * K20 per m = K3200
Therefore, the minimum cost to fence the garden would be K3200.
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Question is incomplete, find complete question below
A rectangular garden is 32 m wide and 48 m long. If the fencing material costs K20 per meter, then what would be the minimum cost to fence her garden?
Use the distributive property to find the product of the rational number.
5/2 (- 8/5 + 7/5)
9514 1404 393
Answer:
-1/2
Step-by-step explanation:
The factor outside parentheses multiplies each term inside.
5/2(-8/5 +7/5)
= (5/2)(-8/5) +(5/2)(7/5)
= -8/2 +7/2 = -1/2
Which statement best describes a strategy for estimating the perimeter of the figure below if the grid squares have
side lengths 1 cm?
Add the lengths of the horizontal and vertical segments, and then subtract 5 because the diagonal side is 4 units
wide and 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then subtract 3 because the diagonal side is 4 units
wide but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 3 because the diagonal side is 4 units wide
but only 2 units tall.
O Add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide
and 2 units tall.
The best statement that describes the strategy for estimating the perimeter of the figure (please see the attached diagram) is the option;
Ad the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
What is an estimate of an amount?An estimate is an approximation of a true value, which is a value that is close to the actual value of the measured quantity.
Please find attached a diagram of the possible figure created with MS Word
The length of the side of the sides of the possible figure in the figure, obtained from a similar question on the internet are;
Base length = 5 units
Height = 4 units
The figure has a diagonal side which is 4 units wide and 2 units tall.
The length of the slant side, found using Pythagorean theorem can be obtained as follows; Length = √(4² + 2²) = 2·√5 ≈ 5
The correct option is therefore to add the lengths of the horizontal and vertical segments, and then add 5 because the diagonal side is 4 units wide and 2 units tall
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A herbal skin remedy uses honey and yogurt in the ratio of 3: 4. How much honey is needed to mix with 120g of yogurt?
Beginning
Let's use proportion to answer this question.
=> 3:4 :: x:120Introduction:
To answer this question, we take the extremes and multiply it with each other and we take the middle terms and multiply with each other. In the end, we divide and get the value of x.
The word "extremes" defines that the last two terms in a proportion.
The phrase "middle terms" defines that the middle two terms in a proportion. Below is the solution.
Solution:
=> 3:4 :: x:120 [Key tip: If you see a "::" symbol, it basically means that they are equal.=> 4x = 360=> x = 360/4=> x = 90Conclusion:
Hence, the answer to your problem is 90 grams.
\(BrainiacUser1357\)
Bria is a customer who would like to display her collection of soap carvings on top of her bookcase. The collection needs an area of 300 square inches. What should b equal for the top of the bookcase to have the correct area? Round your answer to the nearest tenth of an inch. I need help
D: Please !!!!
Answer:
We can use the formula for the area of a rectangle to solve this problem. Let's assume that the length of the top of the bookcase is L and the width is b. Then, we can write:
L × b = 300
Solving for b, we get:
b = 300 / L
Since we don't know the length L, we cannot find the exact value of b. However, we can use the given information to make an estimate. Let's say that the length of the bookcase is 60 inches. Then, we have:
b = 300 / 60 = 5
So, if the length of the bookcase is 60 inches, the width needs to be at least 5 inches to accommodate Bria's soap carving collection. However, if the length is different, the required width will also be different.
Wyatt was out at a restaurant for dinner when the bill came. He wanted to leave a tip of 19%. What number should he multiply the cost of the meal by to find the total plus tip in one step?
Answer:
The cost of the meal should be multiplied by 1.19.---------------------------------------
Let the cost of the meal be x.
Adding a tip of 19%:
x + 19% = x + 0.19x = x (1 + 0.19) = 1.19xAnswer:
Wyatt should multiply with 1.19.
Step-by-step explanation:
Forming the expression,
→ 1 + (19% of 1)
Now the required number is,
→ 1 + (19% of 1)
→ 1 + ((19/100) × 1)
→ 1 + (19/100)
→ 1 + 0.19 = 1.19
Hence, required number is 1.19.
evaluate 3x(x-2)/ 2x-1 when x=0
Determine the length of CD. Show your work.
The length of line CD is 20. 9
How to determine the lengthNote that triangle CDY is an isosceles triangle
Using the Pythagoras theorem
Hypotenuse square = opposite square + adjacent square
Hypotenuse = line CD
opposite = 20
Adjacent = 6
Substitute into equation
\(Line CD^2 = 20^2 + 6^2\)
\(Line CD^2 = 400 + 36\)
\(Line CD^2 = 436\)
Make line CD^2 subject by find the square root of the other side
\(Line CD = \sqrt{436}\)
\(Line CD = 20.9\)
Therefore, the length of line CD is 20. 9
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Almonds are sold in 8-ounce and 20-ounce packages. What is the least number of ounces you can buy of each package to have equal amounts of each package size?
The least number of ounces you can buy of each package to have equal amounts of each package size is ounces
Answer:
40
Step-by-step explanation:
\(8=2^3 \\ \\ 20=2^2 \times 5 \\ \\ \lcm(8,20)=2^3 \times 5=40\)
6x?=928 Tell me the anwser and i will give money
Answer:
x = 154.66666 repeating
pls shekels
Answer:
x= \(\frac{464}{3}\)
Solve for s.1/2s=7/2s=1/7s=2/7s=3s=7
Solving a linear equation
Then
1/2s = 7/2
(1/2)s = 7/2
Its important to use correctly parenthesis
In 1/2s, s is dividing
In (1/2)s , s is multiplying
Then
1/2s = 7/2
1/(7/2) = 2s
2/7 = 2 s
1/7 = s
And , using parenthesis if
(1/2)s = 7/2
s = (7/2)/(1/2) = 7
Multiple choice
1. given the figure below what is the correct name for ←2. choose all that apply
write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line
Answer:
y = -1/5x + 8
Step-by-step explanation:
dude what is this i dont understand
Answer:
g(1) = 1
Step-by-step explanation:
the absolute value function always gives a positive result, that is
| - a | = | a | = a
to evaluate g(1) substitute x = 1 into g(x)
g(1) = - 3| 1 - 2| + 4
= - 3| - 1| + 4
= - 3(1) + 4
= - 3 + 4
= 1
After buying bananas for $63 Gary has $12.49 left How much money did Gary have to begin with
Answer:
The answer is 72.49
Step-by-step explanation:
Answer:
Gary had $75.49 to begin with.
Step-by-step explanation:
63 + 12.49 = 75.49
Gary spent $63 on bananas and after buying them he had $12.49, therefor you would add his remaining $12.49 to the $63 he spent in order to get the amount of money he had before buying the bananas.
Which of these would earn the same interest as a $150 principal at 4% annual interest for 2 years? Select all that apply.
A.$300 at 2% for 2 years
B.$150 at 6% for 18 months
C.$400 at 3% for 1 year
D.$100 at 1% for 8 years
E.$50 at 48% for 6 months
Answer:
A, C, E are your answers
Step-by-step explanation:
The solution is Option A , Option C and Option E.
The simple interest at a principal of $150 and annual rate of 4 % for 2 years is $ 12
What is Simple Interest?
Simple interest is a method of calculating interest that ignores the impact of compounding. While interest frequently compounds throughout the course of a loan's set periods, simple interest does not. Simple interest is calculated by multiplying the principal amount by the interest rate, times the number of periods.
Simple Interest = ( Principal Amount x Rate x Time Period ) 100
Given data ,
Let the principal be P = $ 150
Let the annual rate be R = 4 %
Let the time be T = 2 years
Now , the simple interest is calculated as SI = PRT / 100
Substituting the values in the equation , we get
Simple Interest = ( 150 x 4 x 2 ) / 100
Simple Interest = ( 150 x 2 ) / 25
Simple Interest = $ 12
So , the value of Simple Interest is $ 100
Now ,
a)
$300 at 2% for 2 years
Simple Interest = PRT / 100
Substituting the values in the equation , we get
Simple Interest = ( 300 x 2 x 2 ) / 100
Simple Interest = $ 12
c)
$400 at 3% for 1 year
Simple Interest = PRT / 100
Substituting the values in the equation , we get
Simple Interest = ( 400 x 3 x 1 ) / 100
Simple Interest = $ 12
e)
$50 at 48% for 6 months
Simple Interest = PRT / 100
Substituting the values in the equation , we get
Simple Interest = ( 50 x 48 x ( 1/2 ) ) / 100
Simple Interest = 48 / 4
Simple Interest = $ 12
Therefore , the Simple Interest is $ 12
Hence , The solution is Option A , Option C and Option E.
The simple interest at a principal of $150 and annual rate of 4 % for 2 years is $ 12
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What is the meaning of "\(F=\left \{ (x,y):\varphi (x,y,p) \right \}\)"?
The expression "F = {(x, y) : φ(x, y, p)}" represents a set of ordered pairs (x, y) that satisfy a condition defined by the function φ. The interpretation and nature of the set F depend on the specific function φ and the parameter p, which determine the relationship between the variables x, y, and p.
The expression "F = {(x, y) : φ(x, y, p)}" represents a set F consisting of ordered pairs (x, y) that satisfy a particular condition defined by the function φ, which takes the variables x, y, and p as inputs.
To fully understand the meaning of F, we need to delve into the function φ and its relationship with the variables x, y, and p. The function φ could represent a wide range of mathematical relationships or conditions that determine the inclusion of certain pairs (x, y) in the set F.
For instance, let's consider a specific example where vraphi(x, y, p) is defined φ(x, y, p) = \(x^2 + y^2 - p^2.\)In this case, F = {(x, y) : \(x^2 + y^2 - p^2\)= 0} represents a set of ordered pairs (x, y) that satisfy the equation \(x^2 + y^2 - p^2 = 0.\) This equation represents a circle with radius p centered at the origin (0, 0). Consequently, F corresponds to all the points lying on the circumference of this circle.
It is important to note that the specific meaning and implications of F heavily rely on the nature of the function φ and the parameter p. Different functions and parameters will yield distinct sets F with their own unique characteristics and interpretations.
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What is jc ? (Picture included)
Answer:
jc is 40 i think
Step-by-step explanation:
Answer:
40(Maybe)
Step-by-step explanation:
I'm not 100% sure that 40 is correct but I'm pretty sure it is.
The quantity of wheat, in billions of bushels, that wheat suppliers are willing to produce in a year and offer for sale is called the quantity supplied and is denoted by S. The quantity supplied is determined by the price P of wheat, in dollars per bushel, and the relation is
P = 2.13S − 0.65
.
The quantity of wheat, in billions of bushels, that wheat consumers are willing to purchase in a year is called the quantity demanded and is denoted by D. The quantity demanded is also determined by the price P of wheat, and the relation is
P = 2.55 − 0.55D
.
At the equilibrium price, the quantity supplied and the quantity demanded are the same. Find the equilibrium price for wheat. (Round your answer to two decimal places.)
Answer:
1.89billions
Step-by-step explanation:
Given
The quantity demanded determined by the price P of wheat, and the relation is
P = 2.55 − 0.55D
Also, the quantity supplied is determined by the price P of wheat, in dollars per bushel, and the relation is
P = 2.13S − 0.65
At equilibrium, the price of wheat will be the same i.e;
2.13S-0.65 = 2.55-0.55D
Also since at the equilibrium price, the quantity supplied and the quantity demanded are the same, then S = D
Substitute into the formula
2.13S-0.65 = 2.55-0.55S
2.13S+0.55S = 2.55+0.65
2.68S = 3.20
S = 3.20/2.68
S = 1.194
Get the equilibrium price of wheat;
Given;
P = 2.13S − 0.65
P = 2.13(1.194) − 0.65
P = 2.5433-0.65
P = 1.893
Hence the equilibrium price of wheat is approximately 1.89billions
Answer:
The equilibrium price for wheat is 3.663 dollars per bushel
Step-by-step explanation:
The quantity of wheat, in billions of bushels, that wheat suppliers are willing to produce in a year and offer for sale, determined by the price P of wheat, is:
P = 2.13*S - 0.65
On the other hand, you know that the amount of wheat, in billions of bushels, that wheat consumers are willing to buy in a year, determined by the price P of wheat, is:
P = 2.55 - 0.55*D
The market equilibrium or point of equilibrium is that point where there is an equilibrium because the demanders are willing to buy the same units that the suppliers want to manufacture, for the same price.
Being at the equilibrium price, the quantity supplied and the quantity demanded must be equal. So, being:
P = 2.13*S - 0.65 → P + 0.65=2.13*S → \(\frac{P+0.65}{2.13} =S\)P = 2.55 - 0.55*D → P+ 2.55= - 0.55*D → \(\frac{P+2.55}{-0.55} =D\)the quantity supplied S must be equal to the quantity demanded D:
S=D
\(\frac{P+0.65}{2.13} =\frac{P+2.55}{-0.55}\)
Solving:
\((-0.55)*\frac{P+0.65}{2.13} =P+2.55\)
\(\frac{-0.55}{2.13} *(P+0.65) =P+2.55\)
\(-\frac{55}{213} *(P+0.65) =P+2.55\)
\(-\frac{55}{213} *P-0.168 =P+2.55\)
\(-\frac{55}{213} *P-P =2.55+0.168\)
\(0.742*P =2.718\)
P=2.718÷0.742
P=3.663
The equilibrium price for wheat is 3.663 dollars per bushel
3. Elaine rents a car for 5 days. It costs $44
each day to rent the car and $7 each day
for insurance. At the end of the trip she
spends $35 to fill the car with gas. What is
the total cost for Elaine to use the car?
Answer:
290 dollars
Step-by-step explanation:
$44(to rent the car) x 5 = $220
$7( for insurance) x 5 = $35
35$ for gas
Add all those prices up:
220 + 35 + 35= 290
I hope this helps...
Which is misleading about the data shown on the figure?
Number of members
Look at the photo
The misleading about the data shown on the figure is the clas width
Which is misleading about the data shown on the figure?From the question, we have the following parameters that can be used in our computation:
The histogram
On the histogram, we have the following readings
1 - 2021 - 3031 - 4546 - 65From the above, we can see that
The above readings are not consistent i.e. the class widths are not equal
Hence, the misleading about the data shown on the figure is the clas width
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Find the deductions and the net pay. Social Security is 6.2 percent of the first $90,000. Medicare is 1.45 percent of all income. $90,000. For Problems 3-7, the state tax is 2 percent of gross pay and the local tax is 1.5 percent of gross pay.
The minimum value of Jeri Dammers' total deductions is $200.68.
What is the deductions?Based on the given information, we can calculate the total deductions for Jeri Dammers as follows:
Social Security: Jeri pays 6% of the first S$90,000 of her gross pay towards Social Security. As her gross pay is only $735.00, her Social Security deduction will be:
Social Security = 6% of $735.00 = $44.10Medicare: Jeri pays 1.45% of all her income towards Medicare. As her gross pay is $735.00, her Medicare deduction will be:
Medicare = 1.45% of $735.00 = $10.65Federal Income Tax: To calculate the federal income tax, we need to refer to the tax tables provided by the IRS. As the gross pay is only $735.00, Jeri's federal income tax deduction will be very minimal or possibly none.
State Tax: Jeri pays 2% of her gross pay towards state tax. As her gross pay is $735.00, her state tax deduction will be:
State = 2% of $735.00 = $14.70Local Tax: Jeri pays 1.5% of her gross pay towards local tax. As her gross pay is $735.00, her local tax deduction will be:
Local = 1.5% of $735.00 = $11.03Medical: Jeri has a deduction of $32.00 towards medical expenses.
Union Dues and Others: No information is given about Jeri's union dues or other deductions.
Therefore, the total deductions for Jeri Dammers will be:
Total Deductions = Social Security + Medicare + Federal Income Tax + State Tax + Local Tax + Medical + Union Dues + OthersTotal Deductions = $44.10 + $10.65 + $0 + $14.70 + $11.03 + $32.00 + Union Dues + OthersTotal Deductions = $112.48 + Union Dues + OthersWe cannot calculate the exact value of Total Deductions without information about Union Dues and Others.
However, the minimum value of Total Deductions would be:
Total Deductions (minimum)= $44.10 + $10.65 + $88.20 + $14.70 + $11.03 + $32.00
= $200.68
Therefore, the minimum value of Jeri Dammers' total deductions is $200.68.
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See full text below
Find the total deduction The person pays Social Security 6 percent of the first S90,000. Medicare is 1.45 percent of all income Use the tax tables for federal tax The state tax is 2 percent of gross pay and the local tax is 1.5 percent of gross pay. (Remember to add the Medical; Union Dues, and Others for total deduction: FIT Federal Income Tax, FICA Social Security) .4. Jeri Dammers is married and claims 3 allowances.
Dept
Employee
Check Number -3205
Gross Pay -$735.00
Net Pay
44B Jeri Dammers
Tax Deductions
Other Deductions
FIT
FICA
Medicare
State
Local
Medical -32.00
Union
Dues
Others
A puzzle has 1080 pieces. How many pieces are 80% of the puzzle?
Answer:
864
Step-by-step explanation:
80/100 simplified is 4/5
so you do 4/5 of 1080
which is 1080 divided by 5 that is 216
and then 216 x 4 which is 864
Simplify i) ( x-y )( x−y )( x−y )
The simplified expression for ( x - y ) ( x - y ) ( x - y ) is x³ - x²y - xy² + y³.
To simplify ( x - y ) ( x - y ) ( x - y ), we can expand the expression using the distributive property of multiplication. We can also simplify the expression by combining like terms.
In using the distributive property of multiplication, we multiply each term in the first set of parentheses by each term in the second set of parentheses. This gives us:( x - y ) ( x - y ) ( x - y ) = ( x(x - y) - y(x - y) ) ( x - y )= ( x² - xy - xy + y² ) ( x - y )= ( x² - 2xy + y² ) ( x - y )
Now we can further simplify the expression by combining like terms. We can use the difference of squares formula to simplify the second set of parentheses.( x² - 2xy + y² ) ( x - y ) = ( x - y ) ( x - y )²= ( x - y ) ( x² - 2xy + y² )= x³ - x²y - 2xy² + xy² - xy² + y³= x³ - x²y - xy² + y³
Therefore, the simplified expression is x³ - x²y - xy² + y³.
Summary: To simplify ( x - y ) ( x - y ) ( x - y ), we expand the expression using the distributive property of multiplication. We simplify the expression by combining like terms. We use the difference of squares formula to simplify the second set of parentheses. Finally, we simplify the expression further by combining like terms. The simplified expression is x³ - x²y - xy² + y³.
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Suppose that a country has approximately 2,700 cellular phones per 1,000 people. Express the number of phones per person as a whole or mixed number. The the number of phones person is?
Given:
The number of cellular phones = 2,700
For the number of persons = 1,000
So, to find the number of phones per person, we will divide 2,700 by 1,000
so, the answer will be:
\(\frac{2700}{1000}=\frac{27\cdot100}{10\cdot100}=\frac{27}{10}=\frac{20+7}{10}=2+\frac{7}{10}=2\frac{7}{10}\)So, the answer is:
The number of phones person is 2 7/10
Solve the equation for all values of x.
|5x + 8| 8 = 3x
how to solve 17/34=7/f
Answer:
cross multiple
17×f=34×7
17f/17=578/17
f=34
What is the slope of the line?
Answer:
-5/9
Step-by-step explanation:
The exact point at which the lines cuts the axis are unclear so I used the closest round number to substitute into the gradient formula. From the answer I noticed two things
Firstly it was a negative gradient...therefore the second and the fourth option wouldn't work
Secondly (if I were to ignore the operation) the number is less than 1 which would mean that it couldnt be an improper fraction where the numerator is greater than the denominator.
If you take what you notice about both the operation and the size of the number you would find that -5/9 fits the criteria the best and is therefore the answer to your question.
\( \frac{y2 - y1}{x2 - x1} \\ = \frac{0 - ( - 1)}{ - 2 - 0} \\ = - \frac{1}{2} \)