Given:
The system of equations that represent the constraints for the given situation is
[tex]x+y=4.25[/tex]
[tex]16.90x+4y=36.35[/tex]
To find:
The solution of given system of equations.
Solution:
We have,
[tex]x+y=4.25[/tex] ...(i)
[tex]16.90x+4y=36.35[/tex] ...(ii)
Multiply equation (i) by 4.
[tex]4x+4y=17[/tex] ...(iii)
Subtracting (iii) from (ii), we get
[tex]16.90x+4y-(4x+4y)=36.35-17[/tex]
[tex]16.90x+4y-4x-4y=19.35[/tex]
[tex]12.90x=19.35[/tex]
Divide both sides by 12.90.
[tex]x=\dfrac{19.35}{12.90}[/tex]
[tex]x=1.5[/tex]
Put this value in (i).
[tex]1.5+y=4.25[/tex]
[tex]y=4.25-1.5[/tex]
[tex]y=2.75[/tex]
The solution of system of equations is x=1.5 and y=2.75. It means, the yards of silk are 1.5 and yards of cotton are 2.75.
Find the annual rate.
1. =$24, P=$400, t=2 years
2. I=$54, P=$900, t=1 year
Answer: for number one it is t=2
And for number 2 the answer is t=1
Step-by-step explanation:
Quinn posted a comment on a social media site. The table shows the number of new "likes" Quinn's comment receives each minute after the comment is posted. Write an equation of a line in standard form to represent the data. Then use the equation to find the amount of time it will take until Quinn's comment receives no new "likes".
mintues; liked:
1 8
2 6
3 4
A. x + 2y = 10; 5 minutes
B. 2x + y = 10; 5 minutes
C. x + 2y = 10; 6 minutes
D. 2x + y = 10; 6 minutes
Answer: B. 2x + y = 10; 5 minutes
Robert graduates from a technical school and finds a welding job that pays
$14 per hour. He always works at least 40 hours in a given week. When he works
overtime, he gets 1.5 times his regular hourly pay. His overtime pay can be
represented by h, the number of hours greater than 40 he works in a week.
Create an expression for the amount of money Robert earns in a week.
Use the values from the box below. Write the value(s) needed for each addend
in each space on the answer sheet.
Answer: $581
Step-by-step explanation:
given data:
Hours worked weekly(hrs) = 40
wages = $14/hr
Amount earned for overtime = 1.5 times of his hourly pay.
Solution
Amount earned for overtime
= 1.5 * $14
= $21
Amount Roberts earns in a week
= $14 * 40 + $21
= $560 + $21
= $581
Answer:
Weekly earning = 560 + 21h
Step-by-step explanation:
Given the following :
Regular Pay = $14 per hour
Work hour = atleast 40 hours per week
Overtime pay = 1.5(regular pay)
If overtime hour = h
Robert's weekly earning :
Regular pay * 40 + (overtime * 1.5(regular pay))
$14 * 40 + (h * 1.5(14))
560 + 21h
Hence,
Weekly earning = 560 + 21h
What is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
Answer:
Step-by-step explanation:
If two lines are parallel then they will have the same slope. So all you need to do is find the slope of the line that joins the two given points. You can use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]. You can also graph the two points and use rise over run. [tex]\frac{7-(-5)}{-5-7} =\frac{12}{-12}=-1[/tex]
-1 is the slope of a line that is parallel to the line joining (7,-5) and (-5,7)
What is a Linear equation?A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. Sometimes, the aforementioned is referred to as a "linear equation of two variables," with y and x serving as the variables.
Given, a line that is parallel to the line joining (7,-5) and (-5,7)
Since lines are parallel to each other thus their slope will be the same.
From the general formula of slope:
Slope = (y₂ - y₁)/(x₂ - x₁)
Slope = (7 + 5)/ -5 - 7)
Slope = -1
Therefore, the slope of a line that is parallel to the line joining (7,-5) and (-5,7) is -1.
Learn more about Linear equations here:
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if a2+b2+c2=ab+bc+ca find a+b/b
Answer:
Step-by-step explanation:
a² + b² + c² = ab + bc + ca
On multiplying both sides by “2”, it becomes
2 ( a² + b² + c² ) = 2 ( ab + bc + ca)
2a² + 2b² + 2c² = 2ab + 2bc + 2ca
a² + a² + b² + b² + c² + c² – 2ab – 2bc – 2ca = 0
a² + b² – 2ab + b² + c² – 2bc + c² + a² – 2ca = 0
(a² + b² – 2ab) + (b² + c² – 2bc) + (c² + a² – 2ca) = 0
(a – b)² + (b – c)² + (c – a)² = 0
=> Since the sum of square is zero then each term should be zero
⇒ (a –b)² = 0, (b – c)² = 0, (c – a)² = 0
⇒ (a –b) = 0, (b – c) = 0, (c – a) = 0
⇒ a = b, b = c, c = a
∴ a = b = c.
hence
a+b/b
a+a/a= (since a=b)
2a/a=
a....
Please solve x^2 − 3x = −8
Answer:it will equal 0
Step-by-step explanation:
hopes it helpes you
Answer (it has two solutions):
See photo below
I hope this helps!
PLEASE HELP
find value of x and y
Given :
There is a quadrilateral.Two sides of the quadrilateral are parallel .Four angles are 96° , 2x° , 94° & ( 3y + 44 )°.To Find :-
The value of x & y .Solution :-
Here , 96° & 2x° are co - interior angles and we know that the sum of co - Interior angles is 180°.
⇒ 96° + 2x = 180° .
⇒ 2x = 180° - 96° .
⇒ 2x = 84° .
⇒ x = [tex]\red{\sf \dfrac{84^{\circ}}{2}}[/tex]
[tex]\bf\longmapsto x = 42^{\circ}[/tex]
Hence value of x is 42° .
Similarly , 94° & ( 3y + 44) ° are co- interior angles
⇒ 94° + ( 3y + 44)° = 180° .
⇒ ( 3y + 44 )° = 180° - 94° .
⇒ 3y + 44° = 86°.
⇒ 3y = 86° - 44° .
⇒ 3y = 42° .
⇒ y = [tex]\sf \red{\dfrac{42^{\circ}}{3}}[/tex]
[tex]\bf\longmapsto y = 14^{\circ}[/tex]
Hence the value of y is 14°.
Item 5 In the number 7.7592, how does the value of the 7 in the ones place compare to the value of the 7 in the tenths place? Drag and drop a fraction into the box to correctly complete the statement. The value of the 7 in the ones place is Response area the value of the 7 in the tenths place.
Answer:
100 timesStep-by-step explanation:
Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
Answer
100 timesStep-by-step explanation:Given the decimal number 7.7592
The value of the 7 in the ones place is 7 tens i.e 10
The value of 7 in the tenths place is 7 tenth i.e 7/10 = 7 * 1/10. The value of 7 in the tenths place is 1/10 = 0.1
Comparing both values
We will compare both values by finding their ratios as shown;
ratio = value of the 7 in the ones place/value of the 7 in the tenth place
ratio = 10/0.1
ratio = 100
Since the ratio is 100, this means that "the value of the 7 in the ones place is 100 times the value of the 7 in the tenths place"
me pueden ayudar es urgente!!!!
es de monomios
Answer:
Step-by-step explanation:
4.2) 2z² - 3z² = -z²
8x - x = 7x
4.3) 3x² - 4x² = (3 -4)x² = -x²
4z² - 3z² = (4- 3)z² = z²
z² - 2z² = (1 - 2)z² = -z²
3x - x = 2x
Cannot be subtracted.
3y² - 3y² = 0
4.3) 2xy - x y = xy
x²y² - 4x²y² = -3x²y²
x - y = /
2x²y² - 6x²y² = -4x²y²
4xy - 2xy = 2xy
4.4) 5xy - xy = 4xy
x²y² - 3x²y² = -2x²y²
3x³y - 2yx³ = x³y
What does -5 1/2 + 2 1/2 equal.?
Answer:
wait isn't the answer right there-
Answer:
[tex]-5\frac{1}{2}+2\frac{1}{2}=-3[/tex]
Step-by-step explanation:
[tex]-5\frac{1}{2}+2\frac{1}{2}[/tex] or [tex](-5+2)+(\frac{-1}{2}+\frac{1}{2}) =[/tex]
[tex]-3+\frac{-1+1}{2}=[/tex]
[tex]-3+\frac{0}{2} =[/tex]
[tex]-3[/tex]
I think this is right.(✿◠‿◠)
I hope this helps! (✿◕‿◕✿)
An object’s volume is 0.12 kL. What is its volume in liters?
Answer:
120L
Step-by-step explanation:
Given quantity;
0.12kL to L
Solution:
Convert the given quantity to Liters;
1000L = 1kL
So.
1kL gives 1000L
0.12kL will be 1000 x 0.12 = 120L
f(x)=-5/2 x-3
A. Create a linear function g(x) such that f(x) = g(x) has exactly one solution.
g(x) = ?
B. What is the exact solution to f(x) = g(x)?
x = ?
Step by step
A line passes through the points (7, 10) and (7, 20). Which statement is true about the line?
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has a slope of zero because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the numerator of a fraction cannot be zero.
It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Answer: D) It has no slope because x 2 minus x 1 in the formula m = StartFraction y 2 minus y 1 Over x 2 minus x 1 EndFraction is zero, and the denominator of a fraction cannot be zero.
Step-by-step explanation:
slope is y2-y1/x2-x1
20-10/7-7
10/0
denominator can't be 0
Answer:
D
Step-by-step explanation:
cause i said so
Q5. A car is bought for £5000 and sold for £7500.
What is the percentage profit?
Answer:
50% profit
Step-by-step explanation:
Cost price = £ 5000
Selling price = £ 7500
Profit = Selling price - cost price
= 7500 - 5000
= £ 2500
Profit percentage = [tex]\frac{2500}{5000}*100[/tex]
= 50 %
I need the answer!!!! The original price of Doritos is the same at both Wal-Mart and Kroger. Jon found out that Wal-Mart had Doritos on sale at $0.50 off per bag and bought four bags. Later that day, he found out that Kroger had Doritos on sale at $1 off per bag and bought six bags. If he paid the same amount at both stores, what was the original price of Doritos?
write an equation and solve by using the distributive property, combining like terms, and eliminating the variable on one side of the equation. You must SHOW YOUR WORK!!!!
Answer:
I believe it would be $2 per bag normally.
Step-by-step explination:
If you take $2 and subtract $.50 it is $1.50. Take that multiplied by the number of bags he bought (4), would mean he spent $6 at Wal-mart.
Now $2 subtracted my the sale of $1, is $1 per bag. If he bought 6 bags at Kroger, 1 multiplied by 6, would equal 6. Meaning he spent $6 at both stores if the price was $2.
George is comparing two different phones. The screen of phone A has a width of 5.3 cm. The width of the screen on phone B is 5 and one-third cm. Which statement explains which phone has the wider screen? The screens have the same width. Screen A is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5.3 is greater than 5 and one-third.. Screen B is wider, because 5 and one-third is greater than 5.3.
Answer:
The answer is "Screen B is wider , because 5.3 is greater than 5 and one-third".
Step-by-step explanation:
The mobile display unit must be made similar. Phone A uses a decimal device, and telephone B uses a fraction in this case.
It's easier for you to use. Attempt using the decimal. The width of the phone B fraction could then be translated to decimal width. The computing is:
= 5 cm + [tex]\frac{1}{3}[/tex] cm
= 5 cm + 0.333cm
= 5.333 cm
It is evident from here that the wider screen of Phone B is than that of Phone A.
Answer:
They are all the same width
Step-by-step explanation:
Find the missing integers using appropriate properties.
-18+(-29)= -29+ _ =_
please help me
Answer:
I would use associative property and the awnser should be -29+-18= -47
Step-by-step explanation:
i hope that helps im very sorry if thats not right
The area of the triangle below is 2/5 square foot.
What is the length, in feet, of the base of the
triangle?
Answer:
B. 2/3
Step-by-step explanation:
The equation for area of a triangle is A=1/2bh
so we can plug in what were given
2/5 =1/2(6/5)b now we solve for b
2/5=6/10 b
2/5 divided by 6/10 =b
2/5 x 10/6 =b
4/6=b
2/3=b
You've decided to open a checking account. You know there are a number of differences with individual banking institutions. Name at least 3 good questions to ask to get started, and explain why knowing this information is helpful. Use complete sentences.
Answer:
Step-by-step explanation:
The three best questions to ask would be the following
What are the fees?What are the bonuses and rewards?What is the interest rate?Most bank checkings account charges fees and these fees may or may not be hidden. These can include maintenance fees, overdraft fees, balance fees, etc. and can stack up if not managed correctly. Therefore it is best to know beforehand.
One of the main things that set these accounts apart between banks are the bonuses and rewards. Some banks may offer a sign-up bonus which can be 200$ or higher when opening a new account. Others may offer higher interest rates for returning customers, or even a physical reward for spending money or depositing a certain amount into the account. These are features that set the different banks apart.
Lastly, would be the interest rate. This is especially important if you have a large sum of money that will be in the account as your money can generate more money with an interest rate. Banks may offer anywhere between 1% to 3% annual interest rate. This can be a deciding factor when choosing one bank over another.
A boat costs $15.500 and decreases in value by
10% per year. How much will the beat be worth
after 5 years?
Answer:
$7,750
Step-by-step explanation:
10% of 15,500 is 1,550 and 1,550 x 5 years = 7,750 and 15,500 - 7,750 = 7,750
Mark's cat, Sushi, is missing! Mark makes a bunch of flyers with Sushi's photo and description, and then asks some friends to help him post them around town. Mark divides all the flyers evenly among 4 bags, one for each person. Each bag contains 10 flyers. Which equation can you use to find the number of flyers f Mark makes?
Answer:
The equation that represents the number of flyers Max made be represented as : 4(x)
Where x is the number flyers Max put in his bag.
Hence, Max made 40 flyers.
Step-by-step explanation:
Mark divides all the flyers evenly among 4 bags, one for each person.
Let the number of flyers Max put in the bag is represented by x
The equation that represents the number of flyers Max made be represented as : 4(x)
Each bag contains 10 flyers.
= 4(10 flyers)
= 40 flyers.
What does 7 hundreds×10 equal?
Answer:700x 10= 7,000
Answer: 7000
Step-by-step explanation:
PLEASE PLEASE HELP I NEED THIS RIGHT NOW
Answer:
should be the last one 0.02
The circle shown has a radius of 12 mm. What is the circumference of the circle?
Answer:
75.36
Step-by-step explanation:
First you would use the formula [tex]C=2\pi r[/tex] and the fill in your values, 2·3.14·12 and you will get 75.36.
Triangle A has side lengths 3,4 and 6. Triangle B had side lengths 6,8 and 12 triangle A and B are?
Answer:
Similar
Step-by-step explanation:
Both triangles have corresponding sides, so they are similar.
The two triangles A and B are similar to each other.
What is the similarity?If two objects are having the same shape then they will be termed as similar. So in mathematics, if two figures have the same shapes, lines or angles then they are called similar.
Given that triangle, A has side lengths 3,4, and 6. Triangle B had side lengths 6,8 and 12.
The second triangle is dilated by factor 2. This means in triangle B the sides are two times the side of triangle A.
Therefore, the two triangles A and B are similar to each other.
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What is the slope between (2,-5) and (5, -1)?
Show work pleaseeee
What is the area of a circle with a diameter of 8 cm?
256 cm^2
64 cm^2
8 cm^2
16 cm^2
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
Answer:
aₙ = 8n + 27Step-by-step explanation:
[tex]a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27[/tex]
Yea I need help with fractions
Answer:
13/24
Step-by-step explanation:
1/3 + 1/8 = 11/24
1/1 - 11/24 = 13/24
(sorry if wrong)
someone please help me with this problem
Answer:
Step-by-step explanation:
espera y termino y te ayudo vale que me falta poco vale