Answer:
The number of yards of silk = x = 1.5 yards
The number of yards of cotton = y = 2.75yards
Step-by-step explanation:
At a fabric store, fabrics are sold by the yard. A dressmaker spent $36.35 on 4.25 yards of silk and cotton fabrics for a dress. Silk is $16.90 per yard and cotton is $4 per yard.
Find the solution of the system of equations. Explain or show your reasoning
{x+y=4.25} ; {16.90x+4y=36.35}
Let the number of yards of silk = x
The number of yards of cotton = y
We are given the system of equations:
{x+y=4.25} ......Equation 1
x = 4.25 - y
{16.90x+4y=36.35}....... Equation 2
4.25 - y for x in Equation 2
16.90(4.25 - y) + 4y = 36.35
71.825 - 16.90y + 4y = 36.35
71.825 - 36.35 = 16.90 - 4y
35.475 = 12.90y
y = 35.475/12.90
y = 2.75 yards.
The number of yards of cotton = y
{x+y=4.25} ......Equation 1
x = 4.25 - y
x = 4.25 - 2.75
x = 1.5 yards
The number of yards of silk = x = 1.5 yards
The yards of silk bought is 1.49 yards and the yard of cotton bought is 2.76 yards.
The two equations are known as simultaneous equation. They would be solved using elimination method.
x + y = 4.25 equation 1
16.90x + 4y = 36.25 equation 2
where:
x = yards of silk bought
y = yards of cotton bought
In order to determine the value of x, multiply equation 1 by 4.
4x + 4y = 17 equation 3
Subtract equation 3 from 2
19.25 = 12.90x
Divide both sides of the equation by 12.90
x = 1.49 yards
In order to determine the value of y, substitute for x in equation 1
1.49 + y = 4.25
y = 4.25 - 1.49
y = 2.76 yards
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Use the distributive property to find an expression that is equivalent to
2x(x + 7)-(3x +1)
Given expression:
2x(x + 7)-(3x +1);
To distribute implies to spread a process equally in an expression. Often times, the distributive property is used for expressions inside parentheses;
2x(x + 7)-(3x +1)
Distribute 2x over the first parentheses;
the negative sign distributes over the second part
= (2x² + 14x) - 3x -1
= 2x² + 14x -3x -1
Add like terms;
= 2x² + 11x -1
This expression 2x² + 11x -1 is equal to the given one
Suppose that you borrow $11000 for 4 years at 6% toward the purchase of a car. Find the monthly payments and the total interest for the loan.
Answer:
The monthly payments ≅ $258.335
The total interest of the loan ≅ $1400.095
Step-by-step explanation:
The rule of the monthly payments is
[tex]M.P=\frac{P(\frac{r}{n})}{1-(1+\frac{r}{n})^{-nt}}[/tex] , where
P is the initial amountr is the rate in decimaln is the period in a yeart is the number of years∵ You borrow $11000
∴ P = 11000
∵ It will be for 4 years
∴ t = 4
∵ The rate is 6%
∴ r = 6% = [tex]\frac{6}{100}[/tex] = 0.06
∵ It is a monthly payment
∴ n = 12
→ Substitute these values in the rule above
∴ [tex]M.P=\frac{11000(\frac{0.06}{12})}{1-(1+\frac{0.06}{12})^{-12(4)}}[/tex]
→ Use your calculator to find the answer
∴ M.P = 258.3353195
∴ The monthly payments ≅ $258.335
→ The total interest of the loan is the difference between the total
of the monthly payments and the initial amount
∴ The total interest of the loan = T.M.P - P
∵ The total of the monthly payments = M.P × t × n
∴ The total of the monthly payments = 258.3353195 × 4 × 12
∴ The total of the monthly payments = $12400.09534
∵ The initial amount P = $11000
∴ The total interest of the loan = 12400.09534 - 11000
∴ The total interest of the loan = 1400.095
∴ The total interest of the loan ≅ $1400.095
the price of 41gram apple is 10.25 rupees.then how many rupees for 1 kg apple
Answer:
Rs. 250
Step-by-step explanation:
The price of 41 g. apple is Rs 10.25
The price of 1 g. apple is Rs 10.25/41, = Rs 0.25
The price of 1 Kg (1000 g.) is 0.25 x 1000 = Rs 250
Solve -8 =2(z-18) for z
Answer:
z=14
Step-by-step explanation:
-8=2(z-18)
-8=2z-36
+36 +36
28=2z
28/2=14
z=14
Answer:
z=14. 2(14-18)=2(-4)=-8=-8
P.s.
please give me brainliest for my next rank
HELP!!! DUE IN 38 MINUTES 11:22 due at 11:59pm pst
Answer:
(1,2)
(-1,2)
(1,-2)
(-1,-2)
Which set of ordered pairs does not represent a function?
\{(5, -6), (-1, -2), (2, -9), (-8, -2)\}{(5,−6),(−1,−2),(2,−9),(−8,−2)}
\{(-5, 7), (-4, -9), (-5, -4), (2, -6)\}{(−5,7),(−4,−9),(−5,−4),(2,−6)}
\{(-4, 2), (-2, 8), (-1, 6), (5, 6)\}{(−4,2),(−2,8),(−1,6),(5,6)}
\{(2, 2), (-4, 9), (9, -3), (-3, 2)\}{(2,2),(−4,9),(9,−3),(−3,2)}
Answer:
the 1st, 2nd, and 4th one because those ordered pairs, the y axis is the same . sooo thats what makes it a non function .
A plane begins its takeoff at 2:00 P.M. on a 1700-mile flight. After 11.5 hours, the plane arrives at its destination. Explain why there are at least two times during the flight when the speed of the plane is 100 miles per hour.
Answer:
turbulance
Step-by-step explanation:
Simplify -9/6 divided by -3/2
Cheryl has $100 on her subway gift card. Each week she buys the same lunch for $10. She wants to continue using the card until the balance remaining is $40. Write an equation to represent the situation
Answer:
100-60=40
Step-by-step explanation:
Answer:
In 6 weeks she will have $40.
Step-by-step explanation:
$100 - $10 - $10 -$10 - $10 - $10 - $10.
Or $100 - $60.
A high-performance composite flywheel rotor can spin anywhere between 30,000 and 100,000 revolutions per minute. What
is the range of degrees through which the composite flywheel can travel in a minute? Write your answer in scientific
notation.
Answer:
Step-by-step explanation:
1 revolution will equal 360 degrees
Because of that 30,000 revolution would be 10,800,000 degrees
100,000 rev would equal 36,000,000 degrees
The range through which the composite flywheel rotates in one minute be denoted by ' F ' . (1.08 x 107)° F (3.6 x 107)°
The range of degrees the composite flywheel can travel in a minute is 2.52 × 10⁷ degrees/minute.
What is the Scientific Notation?Scientific Notation is a way of writing down in the easy form of very large or very small numbers.
The range of revolutions per minute for the rotor is from 30,000 to 100,000, which means that the rotor can spin a total of 70,000 revolutions per minute (100,000 - 30,000 = 70,000).
To find the range of degrees through which the composite flywheel can travel in a minute, we need to multiply the range of revolutions by the number of degrees in one revolution.
A full revolution is 360 degrees, so the composite flywheel can travel in a minute :
70,000 revolutions/minute × 360 degrees/revolution = 25,200,000 degrees/minute
This can be written as 2.52 × 10⁷ in scientific notation.
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Can someone help me out ? Please ?
Answer:B
Step-by-step explanation:mark me as brainliest
Which of the following is an obtuse triangle?
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
triangle B
Step-by-step explanation:
It is the only triangle with an angle wider than 90
1. What is the surface area of the polyhedron? Explain your reasoning.
Answer:
24
Step-by-step explanation:
i counted the square me good at counting
Can a decimal that has repeating digits after the decimal point be converted into a fraction?
Answer:
yes, because you need to convert the repeating number into a decimal. In this case, you can assume that x is the fraction form of 0.7 repeating.
Answer:
yes I think so ...................
Please help with this math problem!!!!! ASAP please thanks! The photo is attached
Answer:
The answer will be the 2nd answer!
Step-by-step explanation:
Your Welcome!!
Which of the following best represents an elevation of 0 feet? A. a mountain top B. a beach C. a sea trench
Answer:
the answer is b) The beach
Answer:
b
Step-by-step explanation:
it's obious
Irina ran 0.25 mile in 2 minutes. At this rate, how many minutes will it take her to run 2 miles?
Enter the correct answer in the box.
Answer:
16
Step-by-step explanation:
2/0.25 = 8
2 x 8 = 16
PLEASEE HELP ME AS FAST AS POSSIBLE! According to the fundamental theorem of algebra, how many solutions does this polynomial have?
Btw sorry about the bad lighting
2, because there are 2 different factors with x in it.
x could be 0, or 4.
Hope this helps
The number of the solution of the polynomial is 2. And the solutions of the polynomial are 0 and 4.
What is polynomial?A polynomial expression is an algebraic expression with variables and coefficients. Unknown variables are what they're termed. We can use addition, subtraction, and other mathematical operations. However, a variable is not divisible.
The polynomial is given below.
y = 3x(x - 4)
The factors of the polynomial are 3x and (x - 4).
For the solution of the polynomial, put each factor equals to zero.
Then the solution of the polynomial will be
3x = 0
x = 0
x - 4 = 0
x = 4
The number of the solution of the polynomial is 2.
And the solutions of the polynomial are 0 and 4.
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On a number line, which fraction would be to the right of 1/2?
A) 2/12
B) 1/3
C) 10/20
D) 16/25
Answer:
C. I hope this helps! Have a great day.
Round 555 to nearest 10
Answer: 600
Step-by-step explanation: 555
The five in the tens place is equal to 5
To round to the nearest tens place the number has to be 5 or more than 5
Solve: 5x - 14 = 8x + 4
What is the place value of 7 in 0.724 rounded.
The place value of 7 in 0.724 = 7 tenths or 7/10 or 0.7
The place value of 2 in 0.724 = 2 hundredths or 2/100 or 0.02
The place value of 4 in 0.724 = 4 thousandths or 4/1000 or 0.004
Therefore , the place value of 7 in 0.724 is 7 tenths or 7/10 or 0.7 ( as all are the same ) .
divide 8/10 ÷ 1 5/6 and put it in its simplest form
Answer
24/55 as a fraction
The solution of the given equation is 24/55
What is Division method?
Division method is used to distributing a group of things into equal parts.
Given that;
The equation is,
8/10 ÷ 1 5/6
Now,
Solve the expression as;
= 8/10 ÷ 1 5/6
= 8/10 ÷ 11/6
= 8/10 x 6/11
= 48/110
= 24/55
So, The solution of the given equation is 24/55.
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Can u help me asap please
Answer:
It is for sure a rational # , and whole #, but possibly also a natural#
Step-by-step explanation:
Solve the system of linear equations by graphing. x+y=27
y=x+3
Answer:
X=12 Y=15
Step-by-step explanation:
X+Y=27 (1)
Y=X+3 (2)
substitute (2) into (1)
X+X+3=27
2X=24
X=12
substitute X=12 into (2)
Y=12+3
Y=15
The solution to the problem as shown in the graph is at A(12, 15):
A linear equation is in the form:
y = mx + b;
where m is the slope, b is the y intercept and y, x are variables.
Given the linear equations:
x + y = 27
y = x + 3
Plotting the equations using Geogebra online graphing tool, the solution to the problem as shown in the graph is at A(12, 15):
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If we increase our food intake, we generally gain weight. Nutrition scientists can calculate the amount of weight gain that would be associated with a given increase in calories. In one study, 16 nonobese adults, aged 25 to 36 years, were fed 1000 calories per day in excess the calories needed to maintain a stable body weight. The subjects maintained this diet for 8 weeks, so they consumed a total of 56,000 extra calories. According to theory, 7700 extra calories will translate into a weight gain of 1 kilogram. Therefore, we expect each of these subjects to gain 56000/7700=7.3 kilograms. The weights in kilograms before and after the 8-week period are shown below:
ID: 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16
Before: 55.7 54.9 59.6 62.3 74.2 75.6 70.7 53.3 73.3 63.4 68.1 73.7 91.7 55.9 61.7 57.8
After: 61.7 58.8 66.0 66.2 79.0 82.4 74.3 59.3 79.1 67.0 73.4 76.9 93.1 63.0 68.3 60.3
(1) For each subject, manually calculate the weight gain subtracting the weight before from the weight after.
Evaluate:
54 - 75 + 81 - (-27) + 53
helppp me please!!!
Answer:
18 hdhb
Step-by-step explanation:
Answer:
18
Step-by-step explanation:
21/1 x 6/7
21 x 6 = 126
1 x 7 = 7
126 / 7 = 18
Which inequality is graphed below?
Answer:
the first one
x is greater than or equal to - 4
Step-by-step explanation:
$15 per hour is the basic rate at a factory. After a 48 hour basic work week, overtime is paid time and a half. If no one worked overtime and the factory paid $15840 in wages one week how many workers are in the factory
There are 22 workers are available in the factory.
What is Wages?Wages is the payment for work based on hours worked (or sometimes per day or per amount of work done).
Here, Let the number of workers in the factory be x.
Basic rate = $15
Working hours in a week = 48 hours
Total wages in a week = $ 15840
If no overtime is to be paid then according to question,
Amount paid to 1 worker = 48 X 15 = $ 720
Amount paid to x worker = 720x
15840 = 720x
x = 15840/720
x = 22
Thus, There are 22 workers are available in the factory.
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