Answer:
To solve this system of equations, you can use the method of elimination. To do this, you can add the two equations together:
4x + 5y - 5x - 3y = -7 - 1
-x + 2y = -8
Then, you can divide both sides of the equation by -1 to solve for y:
x - 2y = 8
y = (x - 8) / 2
Now that you have solved for y, you can substitute this expression back into either of the original equations to solve for x. For example, you can substitute y = (x - 8) / 2 into the first equation to get:
4x + 5((x - 8) / 2) = -7
4x + 5x - 40 = -7
9x = 33
x = 3.67
Now that you have solved for both x and y, you can find the solution to the system of equations:
x = 3.67
y = (3.67 - 8) / 2 = -2.17
So, the solution to the system of equations is x = 3.67 and y = -2.17.
x^2-2x+10=0
is the vertex of this parabola a maximum value or minimum value?
Step-by-step explanation:
minimum.
since the term with x² has a positive factor, this will grow exponentially in the positive direction compared to the other terms, so y (the functional value) will grow and grow with growing distance of x to the vertex.
and that makes the vertex the minimum of the parabola (which opens upwards).
if the factor would be negative (like -x² - 2x + 10), the vertex would be a maximum, and the parabola would open downwards.
32 is 32% of what?????
Answer:
32 is 32% of 100
Step-by-step explanation:
Answer: 100
Step-by-step explanation: 32 is 32% of 100
What is the equation of the line that passes through the points (-2, 3) and (2, 7)? (5 points)
O x-y=-1
Ox-y=-2
Ox-y=-5
O x-y=-6
The equation of the line that passes through the points (-2,3) and (2,7) is:
x-y=-5
Therefore, option(C) x-y= -5 is correct answer.
Step-by-step solution:
The algebraic representation of a line's equation is the collection of points that make up the line in a coordinate system.
Given the line passes through the points (-2,3) and (2,7)
So, the equation of the line passing through the two points is given by:
[tex]\frac{y-y_{1} }{y_{2}-y_{1} } =\frac{x-x_{1} }{x_{2} -x_{1} }[/tex]
[tex]\frac{y-3 }{7-3} } =\frac{x-(-2) }{2-(-2) }[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{2+2}[/tex]
[tex]\frac{y-3}{4} =\frac{x+2}{4}[/tex]
[tex]y-3 = x+2[/tex]
Now rearranging the above equation:
x - y + 3 + 2 = 0
x - y + 5 =0
Therefore, the equation of the line passing through the points (-2,3) and (2,7) is: x-y=-5
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Solve the system of equations.
3x-2y = 3
-4x + 5y = -11
On solving the provided question, we can say that - the value of x and y by the linear equation will be x = 12 and y = -21
What is a linear equation?The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here, we have
3x-2y = 3
-4x + 5y = -11
and on solving we got
x = 12 and y = -21
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Simplify the expression 3a² + 1/4a + 3 + a² + 4 + 1/4a
The Correct answer while simplifying the given algebraic expression is: 4a²+1/2a+7
What are Algebraic Expressions?The concept of algebraic expressions is the use of letters or alphabets to represent numbers without providing their precise values. We learned how to express an unknown value using letters like x, y, and z in the fundamentals of algebra. Here, we refer to these letters as variables. Variables and constants can both be used in an algebraic expression. A coefficient is any value that is added before a variable and then multiplied by it.
Method to simplify any algebraic Expressions are :
By multiplying factors, remove any grouping symbols like brackets and parenthesis.If the words contain exponents, use the exponent rule to eliminate grouping.Add or subtract like terms to combine them.Add the constants togetherGiven:
=3a²+1/4a+3+a²+4+1/4a
=(3a²+a²)+(1/4a+1/4a)+(3+4)
=4a²+1/2a+7
So the Answer is
=4a²+1/2a+7
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Quite simply I don’t know HJ, that’s it.
Goran wants to build a square picture frame with sides that are
5.25 inches long. Natalie wants to build a square sandbox and needs
11 times the amount of wood that Goran needs to build his frame.
They have 4 pieces of wood that are each 65.5 inches long. How much
wood will they have left over after making the frame and sandbox?
The wood left over after making the frame and the sandbox is 10 inches.
What is a square?A square is a two-dimensional figure that has four sides and all four sides are equal.
The area of a square is given as side².
We have,
The total amount of wood.
= 4 x 65.5
= 262 inches.
Frame:
Side = 5.25 inches
The perimeter of the frame.
= 4 x 5.25
= 21 inches
Now,
Sandbox:
The wood used for the sandbox.
= 11 x 21
= 231 inches
The remaining wood.
= 262 - (21 + 231)
= 262 - 252
= 10 inches
Thus,
The remaining wood is 10 inches.
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Directions: Find the sum for each of the following arithmetic series below. Use the summation
formula to find the sums.
1. A series with six terms, the first term is five, and the common difference is five.
2. A series with six terms, the first term is nine and the common difference is twelve.
3. A series with five terms, the first term is 5.7 and the common difference is 1.4.
Therefore , the solution to the given problem of arithmetic mean comes out to be 1. 105, 2. 234 and 3. 42.5
Arithmetic mean: What is it ?The combination of the amount of all of the values in a list and the number of items in the that list, split by both, is the arithmetic average or mean of the group. The mathematical progression is same to this. This mean of the digits 5, 7, and 9 is 4,
For example, as expression 5 + 7 + 9 is 21, and 21 divided by 3 [there are actually three numbers] equals 7.
Given:
1) There are six terms in AP, with terms a and d each being worth five points.
2) There are 6 terms in AP, with terms 9 and 12 respectively.
3) In AP, there are five terms, where an is 5.7 and d is 1.4.
4) In AP, = 20, t21 = 400
5) In AP, t100 = 99 and a = 0
Find the sum of the terms in the arithmetic series.
As is common knowledge, Sn in the AP equals n/2[2a+(n-1)d]
To determine: the total terms in the arithmetic series
The AP sum of n words is well known. Sn = (n-1)/2[2a+(n-1)d]
1) There are 6 terms in the case where a = 5 and d = 5, as shown by S6 = [2(5)+(61)5] = 3[10+5(5)] = 3[10 + 25] = 3(35) = 105
2) There are 6 terms in the case where a = 9 and d = 12, where S6 = [2(9)+(61)12] = 3[18+5(12)] = 3[18+60] = 3(78) = 234
3) There are 5 terms total, with terms a = 5.7 and d = 1.4.
S5= [2(5.7)+(5—1)1.4] = 2.5[11.4+4(1.4)] = 2.5[11.4+5.6] = 2.5(17) = 42.5
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Simplify. 3(x+2y)+5x−y+1
A 8x+y+1
B 8x+5y+1
C 8x+7y+1
D 6xy+5x−y+1
Answer: 8 x + 5 y + 1
8x+5y+1
so that would be B)
please help me plsssssssssssssss
Answer:
this should help you out
a student states that the exterior angle of a triangle can never be a right angle. find the mistake and correct it
Answer:
FALSE statement
Step-by-step explanation:
a right triangle’s exterior angle is 90 degree
A box holds 2 Pens, 2 Pencils And one highliter
Tim Picks 1 item, A pen, And does not return it to the box. He then Picks a second item
what is the
Probability that the second item
IS A Pencil ?
When a box contains 2 pens, 2 pencils, and 1 highliter, there is a 50% chance that the second item is a pencil.
what is probability ?Probability theory, a subfield of mathematics, gauges the likelihood of an event or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a comprehensive set of equally likely outcomes that result in a certain occurrence compared to the total number of outcomes.
given
according to the question , the probability is a
2 / 1+2+1 * 100 %
2/4 *100%
= 50 %
after picking out a pen , the remaining are 1 pen , 2 pencils and 1 highlighter . in total of 4 items , 2 items are pencil .
When a box contains 2 pens, 2 pencils, and 1 highliter, there is a 50% chance that the second item is a pencil.
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martha has 17 043 943 957 points. 16 000 points equivilates to 50 $ off. How much money does Martha save?
Of course, a businesswoman who is extremely wealthy. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line.
How did Martha make her money?Martha Stewart is a lot of things, including a person who built a nativity during her time in jail. Snoop Dogg's close friend. somebody with a large number of peacocks. Martha has a lot of money thanks to her writing numerous best-selling books, publishing a magazine (shoutout to all the kids from the 1990s whose moms read Martha Stewart Living), appearing on various TV shows, and having her own brand of goods, which includes a CBD line She was, in reality, America's first woman billionaire who had achieved success on her own.Now that Martha is no longer a billionaire (more on why in a bit), it is time to analyze her wealth.Celebrity In 1999, Martha Stewart and her business partner Sharon Patrick combined all of their endeavours into Martha Stewart Living Omnimedia (MSLO), which they then listed on the New York Stock Exchange. By the time trading ended, the stock had increased from $18 per share to $38 per share, making Martha practically instantly worth $1 billion.To more Learn about Martha Stewart Refer To:
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The proportional relationship between the
number of inches a candle has burned away, b, at
any time in hours, t, can be represented by the
equation b = 0.75t. At what rate does the
candle burn, in inches per hour?
Candles should burn one hour for every 1 inch in diameter of the actual candle size. For example, a candle that is 2 inches across should burn for 2 hours.
At what rate does then candle burn, in inches per hour?
Smaller candles with smaller wicks will burn at a rate of 7 to 9 hours per 28 g of wax used. Larger candles with larger wicks consume wax at a faster rate. The larger wicks can be expected to yield 5 to 7 hours per 28 g of wax used.
Estimate the total number of burns by dividing the total wax weight used in the candle (not the weight of the candle with container) by the amount of wax used from burning the candle. Finally, multiply the estimated total burns by the burn time hours. This will provide an estimate of the candle's burn time.
The two main factors for burning candles is wick size and type of wax. Wider or thicker wicks will burn much faster than thin ones, and the material the wick is made with can also make an impact. Different types of candle wax burn at different temperatures.
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Mary is going for a walk. She takes 3 hours to walk 9.6 miles. What is her speed?
Answer:
3.2 mph
Step-by-step explanation:
If it takes her 3 hours to walk 9.6 miles, we need to divide 9.6 by 3.
To do so, we can remove the decimal point in 9.6, to give us 96.
Then, we can divide 96 by 3 to get 32.
Add the decimal back to 32.
Doing so would give us 3.2, and our answer.
We can check this answer by multiplying 3.2 by 3, which gives us 9.6, telling us our answer is correct.
a rectangular garden has length twice as great as it’s width. a second rectangular garden has the same width as the first garden and length that is 4 meters greater than the length of the first garden. the secon garden has area of 70 square meters. what is the width of the two gardens?
The width of the two gardens will be equal to 5 feet.
What is the area of the rectangle?A rectangle is a quadrilateral having four sides and the sum of the angles is 180 in the rectangle the opposite two sides are equal and parallel and the two sides are at 90-degree angles.
The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that a rectangular garden has a length twice as great as it’s width. a second rectangular garden has the same width as the first garden and a length that is 4 meters greater than the length of the first garden. the second garden has an area of 70 square meters.
For the first rectangle, the dimensions will be,
L = 2w
For second rectangle width is same then the area is,
L x w = 70
( 2w +4 ) x w = 70
2w² + 4w - 70 = 0
w² + 2w -35 = 0
w² + 7w - 5w -35 = 0
w(w + 7 ) -5(w+7) = 0
w =-7 and w = 5
Hence, the width is w = 5 ft.
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Which of the following sets of numbers could not represent the three sides of a triangles?
9,23,34
10,24,31
8,14,21
5,14,16
Answer:
pretty sure it's B. Let me know if im wrong
Step-by-step explanation:
what is the correct factorization of 100^12
Answer:
GCF of 12 and 100 by Prime Factorization
Prime factorization of 12 and 100 is (2 × 2 × 3) and (2 × 2 × 5 × 5) respectively. As visible, 12 and 100 have common prime factors. Hence, the GCF of 12 and 100 is 2 × 2 = 4.
GCF of 12 and 100 by Listing Common FactorsFactors of 12: 1, 2, 3, 4, 6, 12Factors of 100: 1, 2, 4, 5, 10, 20, 25, 50, 100
There are 3 common factors of 12 and 100, that are 1, 2, and 4. Therefore, the greatest common factor of 12 and 100 is 4.
The quotient of x and 4 is at least 26
The given statement in the form of inequality is given as -
(x ÷ 4) ≥ 26.
What is inequality? Differentiate between equation and expression?inequality : An inequality is used to make unequal comparisons between two expressions or numbers.
expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.
equation : A mathematical equation is used to equate two expressions.
Given is the statement as -
"quotient of x and 4 is at least 26"
We can write the inequality as -
(x ÷ 4) ≥ 26
Therefore, the given statement in the form of inequality is given as -
(x ÷ 4) ≥ 26.
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what is the experimental probability of spinning a white or yellow?
PLEASE PLEASE PLEASE HURRY ITS DUE TOMORROW!!!!!!
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow is 7/20
How to determine the experimental probability of spinning a white or yellow?From the question, we have the following parameters that can be used in our computation:
Outcomes of experiments
The outcomes of experiments are given as
yellow / 5
blue / 12
green / 8
white / 9
red / 6
The experimental probability of spinning a white or yellow can be calculated using the following equation
P(White or Yellow) =P(White) + P(Yellow)
Substitute the known values in the above equation, so, we have the following representation
P(White or Yellow) = (9 + 5)/5 + 12 + 8 + 9 + 6)
Evaluate the sum
P(White or Yellow) = 14/40
Simplify
P(White or Yellow) = 7/20
Hence, the probability is 7/20
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how long will it take me to finish 25 episodes anime with over 24 minutes each episode?
Answer:
9.583 hours
Step-by-step explanation:
multiply both of them and divide by 60 youll get. how long it will take for u to complete an anime
What is the difference between 28%and 18%of 4900
Answer:
Step-by-step explanation:
Refer to the figure in the picture to determine
the measure of each given angle.
Check the picture below.
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Click and place the simplified expression after its original expression.
please help asap
will give brainliest
Answer:
15
Step-by-step explanation:
Opposite angles in a parallelogram are equal. (this is a parallelogram because it has 2 pairs of parallel sides.)
So
3x+2=47
3x=45
x=45/3
x= 15
Latoya's Coffee Shop makes a blend that is a mixture of coffee types A and B. In one bag of the blend, there are 6 kilograms of type A. Four bags of the blend are a total of 36 kilograms. How many kilograms of type B are there in one bag?
The Kilograms of type B that are in one bag of the Latoya's Coffee shop blend would be = 3kg
What is a mixture?A mixture is defined as the combination of two or more components which can or cannot be separated by ordinary methods.
The coffee blend of LaToya shop = Type A and B
A bag of the coffee blend = 6kg of Type A.
4 bags of coffee blend = 36kg
Therefore 4 bags of coffee blend contains = 6 see×4 = 24 kg of Type A
Type B in each bag = 36 - 24 = 12/4 = 3kg.
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Tessa bought stock in a restaurant for $208.00. Her stock is now worth $284.96. What is the percentage increase of the value of Tessa's stock?
Answer:
37.04%
Step-by-step explanation:
To find the percentage increase in the value of Tessa's stock, we need to calculate the difference between the original price and the current price, and then divide that difference by the original price, and multiply by 100 to express the result as a percentage.
Here is the calculation:
percentage increase = ((284.96 - 208.00) / 208.00) * 100
= (76.96 / 208.00) * 100
= 37.04 * 100
= 37.04%
So Tessa's stock has increased in value by 37.04%.
Answer:
37 % increase
Step-by-step explanation:
To find the percentage increase, take the new amount and subtract the original amount
284.96 -208 =76.96
Divide this by the original amount
76.96/208=.37
Change the decimal form to a percent
.37 * 100% = 37 %
What is 2/3 plus 1/5 equal
Answer: 13/15
Step-by-step explanation: Hope this helps, please mark brainliest and give thanks!
2/3+1/5
15÷3*2+15÷5*1
10+3/15
13/15
Solve for B. Enter the number that goes under the radical Symbol
The number that goes beneath the radical is 7
What is the Pythagoras theorem?The Pythagoras theorem is used to find side or angle of a right angled triangle.
If you are dealing with any right triangle with given sides, using the Pythagorean Theorem, as shown below, makes things relatively simple.
Note that the Pythagorean Theorem: is a²+b²=c²
a and b are both the smaller sides of the triangle, while c is the hypotenuse (the longest side of the triangle).
This impies in this case, that we have 4 equivalent right triangles with given sides and for the hypotenuse, so let's see what we need to solve for by writing down what we know in a form following the Pythagorean Theorem.
The Pythagoras Equation is a²+b²=c²
Where a=3, b =? c=4
Isolate the unknown value without plugging in our known values yet. This step is unnecessary, but can help if you have trouble with making mistakes with your algebra.
a²+b²=c²
⇒b²=c²-a²
a=√(c²-a²)
Plug in our given values and solve for .
a=√(4²-3²)
a=√(16-9)
a=√7
Conclusively, the radical number that goes beneath 7
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Complete question :
The complete question is found on the attachment
Rewrite the following expression using the Distributive Property. 5(2x -8)
A. -30x
B. 10x -40
C. 10x + 40
D. 10x -8
I think it is either B or C but I'm not sure.
Answer:
B. 10x -40
Step-by-step explanation:
To rewrite the expression 5(2x-8) using the distributive property, we need to separate the expression inside the parentheses and then multiply the two expressions by 5. The answer is: 10x-40.