On solving the equation 2x+y=-4 and 43x-12y=-4 for y we get the value of y=-164/67 as the definition of solution of equation says "A solution to an equation is a number that can be plugged in for the variable to make a true number statement".
What is system of equation?A group of equations involving one or more variables is known as a system of equations. The variable mappings that cause all component equations to be satisfied or intersected are the solutions to systems of equations.
Here,
2x+y=-4
43x-12y=-4
43(2x+y=-4)
2(43x-12y=-4)
86x+43y=-172
86x-24y=-8
subtracting equation,
67y=-164
y=-164/67
As stated in the definition of equation solution, "A solution to an equation is a number that can be plugged in for the variable to make a true number statement," we arrive at the value of y=-164/67 after solving the equations 2x+y=-4 and 43x-12y=-4 for y.
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Which is the smallest ratio? 2 3 to 4, 3, 10:12, 2 to 1 03 to 4 em O 10:12 2 to 1
Answer:
2/3
Explanation
Given the following:
3 to 4, 2/3, 10:12 and 2 to 1
First let us express them as percentage. The smallest percentage will be the smallest ratio;
3 to 4 = 3/4 * 100
3 to 4 = 75%
2/3 = 2/3 * 100
2/3 = 66.7 %
10:12 = 10/12 * 100
10:12 = 1000/12
10:12 = 83.3%
2 to 1 = 2/1 * 100
2 to 1 = 200%
Since the lowest percent id 66.7%, hence the smallest ratio will be 2/3
The area of a square is 100 square centimetres. Calculate the perimeter of the square
Answer:
40
Step-by-step explanation:
p=40
that's what the answer is if you don't believe me than look it up
Answer:
40 cm
Step-by-step explanation:
1. If its a square all sides are the same
2. Area is a side multiplied by the other side, l * w - so if we square root 100 we get 10.
10 is one side - and since each side of 4 is 10 - we can do 10*4 and get 40.
40 centimeters.
Simplify the equation 3( m- 5 ) + m
Answer:
4m-15 is the answer
Step-by-step explanation:
Hope this helps!!
Determine which numbers are in the given interval.-00,last option 1/2.
A number x is in a given interval (a,b) if it satisfies the following inequalities:
[tex]\begin{gathered} x>a, \\ xNotice that:1)
[tex]\begin{gathered} -\frac{9}{2}>-\infty, \\ -\frac{9}{2}=3\cdot(-\frac{3}{2})<-\frac{3}{2}\text{.} \end{gathered}[/tex]Therefore -9/2 is in the given interval.
2)
[tex]\begin{gathered} -1>-\infty, \\ -1=-\frac{2}{2}>-\frac{2}{2}-\frac{1}{2}=-\frac{3}{2}\text{.} \end{gathered}[/tex]Therefore -1 is not in the given interval.
3)
[tex]\begin{gathered} -\frac{3}{2}>-\infty, \\ -\frac{3}{2}=-\frac{3}{2}\text{.} \end{gathered}[/tex]Therefore -3/2 is not in the given interval.
4)
[tex]\begin{gathered} \frac{1}{2}>-\infty, \\ \frac{1}{2}>0>-\frac{3}{2}\text{.} \end{gathered}[/tex]Therefore 1/2 is not in the given interval.
Answer:
[tex]undefined[/tex]NEED HELP PLEASEEEE FOR GEOMETRY 10TH 60 POINTS!!!!!!!
60!!!
Answer:
12/5
Step-by-step explanation:
tangent is opposite over adjacent... 24/10 reduces to 12/5
don't forget to give brainliest :)
Answer:tan(Z)=24/10=12/5
Step-by-step explanation:
Tangent of an angle is dividing opposite side by adjacent side
What is 39/75 simplified into its smallest fraction
Answer:13/25
Step-by-step explanation:
Two different squares have an areas of 36m° and 49m°
What is the difference of the lengths of their sides?
The difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.
According to the question,
We have the following information:
Two different squares have an area of 36 square meters and 49 square meters.
We know that the following formula is used to find the area of square:
Area = side*side
Side*side = 36
Side = √36
Side = 6 m
Now, side of the another square:
Side*side = 49
Side = √49
Side = 7 m
Now, the difference in the length of the sides of these two squares:
7-6
1 m
Hence, the difference of the length of two different squares having area of 36 square meters and 49 square meters is 1 m.
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What did I do wrong? Need help with this equation
Solve the system
[tex]\begin{bmatrix}y=4x-8 \\ y=2\mleft(x-3\mright)^2-2\end{bmatrix}[/tex]Subtract the equations
[tex]\begin{gathered} y-y=4x-8-\mleft(2\mleft(x-3\mright)^2-2\mright) \\ 0=4x-8-2(x-3)^2+2 \\ 0=4x-8-2(x^2-6x+9)+2 \\ 0=4x-8-2x^2+12x-18+2 \\ 0=16x-24-2x^2 \\ 0=-2x^2+16x-24 \end{gathered}[/tex]Solve quadratic equation
[tex]\begin{gathered} 0=-2(x^2-8x+12) \\ 0=-2(x-2)x-6) \end{gathered}[/tex]Then, the solutions are:
[tex]\begin{gathered} x-2=0 \\ x-2+2=0+2 \\ x=2 \\ \text{For y} \\ y=4(2)-8=8-8=0 \end{gathered}[/tex]And
[tex]\begin{gathered} x-6=0 \\ x-6+6=0+6 \\ x=6 \\ \text{For y } \\ y=4(6)-8=24-8=16 \end{gathered}[/tex]Answer:
(2,0)
(6,16)
Naomi opened a savings account 7 years ago. the account earns 8% interest compounded monthly if the current balance is 1,000.00 how much did she despoit initially
What type of correlation intensity exists between these two variables (weak, moderate, strong)?
Answer:
As a rule of thumb, a correlation greater than 0.75 is considered to be a “strong” correlation between two variables. However, this rule of thumb can vary from field to field. For example, a much lower correlation could be considered strong in a medical field compared to a technology field.
Step-by-step explanation:
Need help with this graphing and W X and Y
Answer:
W'(1,0), X'(2,2), and Y'(4,-3)
Explanation:
In the graph, the coordinates of the vertex of triangle WXY are:
• W(-5, 2)
,• X(-4, 4)
,• Y(-2, -1)
After a translation by the rule below:
[tex](x,y)\to(x+6,y-2)[/tex]The coordinates of the image W'X'Y' are calculated below:
[tex]\begin{gathered} W(-5,2)\to(-5+6,2-2)=W^{\prime}(1,0) \\ X(-4,4)\to(-4+6,4-2)=X^{\prime}(2,2) \\ Y(-2,-1)\to(-2+6,-1-2)=Y^{\prime}(4,-3) \end{gathered}[/tex]The coordinates of the image are W'(1,0), X'(2,2), and Y'(4,-3).
what is the 34th term of this seauence 1,9, 17,25,33
Answer : 34th term is 265
Given the following sequence
1, 9, 17, 25, 33
Firstly, we need to find the common difference of the series
Common difference = Larger number - lower number
Common difference = 9 - 1 = 8
17 - 9 = 8
25 - 17 = 8
33 - 25 = 8
Therefore, the common difference = 8
Tn = a + (n - 1 ) d
Where a = first term, n = no of terms, d = common difference
a = 1, n = 34, d = 8
T34 = 1 + (34 - 1) x 8
T34 = 1 + (33) x 8
T34 = 1 + 264
T34 = 265
Therefore, the 34th term is 265
3. Evaluate:
Suppose you want to buy something for $60, and you have
$15 saved up so far. Then your grandmother calls and says she
will chip in for your purchase. She doesn't tell you the amount
of money she will give you yet, so you just consider it x
dollars. Write the expression that represents the equation.
The expression that represents the equation is x + 15 = 60
The total money needed to buy something is $60
And the saved up amount is $15
The amount of money that the Grandmother contributes is x
The saved up amount and the grandmothers contribution is equal to the total amount required to purchase
We need to write the expression that represents the equation.
x + 15 = 60
Therefore, the expression that represents the equation is x + 15 = 60
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Find the sum of an infinite geometric series where a1 = 180, and the common ratio is r = 3∕4 ?A) 240B) 720C) 135D) 360
Answer:
The sum to infinity of the geometric series is;
[tex]S_{\infty}=720[/tex]Explanation:
Given an infinite geometric series where;
[tex]\begin{gathered} a_1=180 \\ r=\frac{3}{4} \end{gathered}[/tex]Recall that the sum to infinity of a geometric series can be calculated using the formula;
[tex]S_{\infty}=\frac{a_1}{1-r}[/tex]substituting the given values;
[tex]\begin{gathered} S_{\infty}=\frac{a_1}{1-r}=\frac{180}{1-\frac{3}{4}}=\frac{180}{\frac{1}{4}}=180\times4 \\ S_{\infty}=720 \end{gathered}[/tex]Therefore, the sum to infinity of the geometric series is;
[tex]S_{\infty}=720[/tex]Solve log^6 (x + 1) + log^6 (x – 1) = 2.
Pls Help and show work please
The values of x and y in the intersecting lines are as follows;
x = 12.7y = 6How to find angles in intersecting lines?When parallel lines are cut by a transversal line angle relationships are formed such as corresponding angles, alternate angles, linear angles, vertically opposite angles etc.
Therefore, the angle relationships can be used to find the value of x and y in the intersecting lines.
6y + 14 = 11y - 16 (vertically opposite angles)
Vertically opposite angles are congruent.
6y - 11y = - 16 - 14
-5y = -30
y = -30 / -5
y = 6
Therefore,
13x - 25 + 11y - 26 = 180 (sum of angles on a straight line)
13x - 25 + 66 - 26 = 180
13x = 180 + 25 - 66 + 26
13x = 165
x = 165 / 13
x = 12.6923076923
x = 12.7
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Can someone please help me answer this?
Answer:
sol y=5x+15 (see photo for calc)
A group of students was asked, "How many hours did you watch television last week?" Here are their responses. 15,14,20,17,6,11. Find the mean number of hours for these students.
The mean of these numbers is 13.83 hours (14 hours to the nearest whole number)
Here, we want to calculate the mean number of hours
To do this, we simply add all the numbers and divide by the count of the numbers
The count of the numbers is 6
Thus, we have the calculation as follows;
[tex]\frac{(15+14+20+17+6+11)}{6}\text{ = }\frac{83}{6}\text{ = 13.83}[/tex]survey of 100 shoppers, were asked whether they have access to a computer at home. and if they have a personal email account. A) what % of shoppers have an email account?B) what % of shoppers do NOT have computer access at home?
Answer:
A). 34%
B). 62%
Explanation:
Part A:
How many shoppers have an email account?
The answer is 32 + 2 = 34 shoppers have an email account.
What percent of the total shoppers are 34 shoppers?
We know the there are 100 shoppers in total ( 32 + 2 + 6 + 60 = 100); therefore, 34 shoppers is
[tex]\frac{34}{100}\times100\%=34\%[/tex]Hence, 34% of the shoppers have an email account.
Part B:
How many shoppers do not have computer access at home?
The answer is 2 + 60 = 62 shoppers do not have computer access at home.
Now, what percent of the total number of shoppers is 62 shoppers?
The answer is
[tex]\frac{62}{100}\times100\%=62\%[/tex]Meaning, 62% of the shoppers do not have computer access at home.
Hence, to summerise
A). 34%
B). 62%
I need help on this assignment question
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
The value of x is 0.0036
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
1.7 x [tex]10^{8}[/tex] / 12 = 5.1 x [tex]10^{4}[/tex] / x
Multiply x on both sides.
(1.7 x [tex]10^{8}[/tex])x / 12 = 5.1 x [tex]10^{4}[/tex]
Multiply 12 on both sides.
(1.7 x [tex]10^{8}[/tex])x = 12 x 5.1 x [tex]10^{4}[/tex]
Divide 1.7 x [tex]10^{8}[/tex] on both sides.
x = (12 x 5.1 x [tex]10^{4}[/tex]) / (1.7 x [tex]10^{8}[/tex])
x = 36 x [tex]10^{4 - 8}[/tex]
x = 36 x [tex]10^{- 4}[/tex]
x = 36/10000
x = 0.0036
Thus,
The value of x is 0.0036
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What is the least common denominator of 1/7 and 7/8?
Answer:
72/24. Solution: Rewriting input as fractions if necessary: 3/2, 3/8, 5/6, 3/1. For the denominators (2, 8, 6, 1) the least common multiple ( LCM) is 24. LCM (2, 8, 6, 1) Therefore, the least common denominator ( LCD) is 24. Calculations to rewrite the original inputs as equivalent fractions with the LCD: 1 1/2.
Step-by-step explanation:
The amounts of plastic waste generated in a region during two years were 32,400,000 tons and 20,300,000 tons. What was the total plastic waste generated over these two years in the region, expressed in scientific notation? (5 points)
a
52.7 ⋅ 1014 tons
b
52.7 ⋅ 107 tons
c
5.27 ⋅ 107 tons
d
5.27 ⋅ 1014 tons
The correct option is C that is 5.27x10⁷ tons as represented by scientific notation that says, "A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10".
What is scientific notation?Numbers that are either too large or too small to be conveniently written in decimal form can be expressed using scientific notation. It is also known as standard form in the UK and scientific form, standard index form, and standard form. Using scientific notation, one can express extremely large or extremely small numbers. When a number between 1 and 10 is multiplied by a power of 10, the result is represented in scientific notation. Due to its shorter length, increased efficiency, and straightforward magnitude indication, it is particularly helpful when expressing extremely large or extremely small numbers. Every real number can be expressed as the product of an integer power of ten and a decimal part.
Here,
32,400,000+20,300,000
The sum will be,
52,700,000 tons
In scientific notation,
5.27*10⁷ tons.
According to scientific notation that reads, "A method of expressing numbers in terms of a decimal number between 1 and 10 multiplied by a power of 10," the correct option is C, which is 5.27x10⁷ tons.
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Nicole wants to buy a car for his brother. Nicole calculates the amount of the car as $121.80. The actual price of car is $100. What is the cars percent error?
Percent error of the car with actual value of $100 and expected value of the car is $121.80 is equal to 17.898%.
As given in the question,
Expected amount calculate by Nicole to buy a car = $121.80
Actual price of a car is equal to $100
To calculate a percent error we have,
Percent error = | (Actual value - Expected value ) / Expected value | × 100
= | ( 100 - 121.80 ) / 121.80| × 100
= | -21.80/ 121.80 | × 100
= | -0.17898 | × 100
= 17.898% error
Therefore, percent error of the car with actual value of $100 and expected value of the car is $121.80 is equal to 17.898%.
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help me determine the length of segments of this triangle
GE = 3.35, AG = 6.7, AE = 10.05
DG = 3.145, GC = 6.29, DC = 9.435
BG = 2.982, GF = 1.491, BF = 4.473
Explanation:Given: distance of the centriod to the vertex is twice the distance from centroid to the midpoint on the opposite side:
centroid: (14/3, 4/3)
[tex]\begin{gathered} AG\text{ = 2GE} \\ BG\text{ = 2GF} \\ GC\text{ = 2DG} \end{gathered}[/tex][tex]\begin{gathered} \text{Centriod = G = (14/3, 4/3) } \\ E\text{ = midpoint of BC} \\ B\text{ (}2,\text{ 0) and C (8, -4)} \\ \text{Midpoint = }\frac{1}{2}(x_1+x_2),\text{ }\frac{1}{2}(y_1+y_2) \\ \text{midpoint = }\frac{1}{2}\text{(2 + 8), }\frac{1}{2}(0-4) \\ \text{midpoint = 5, -2} \\ \\ GE\text{ = distance from G to E} \\ dis\tan ce\text{ = }\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ =\text{ }\sqrt[]{(5-\frac{14}{3})^2+(-2-\frac{4}{3})^2}\text{ = }\sqrt[]{0.1111+11.1111} \\ GE=\text{ }3.35 \\ AG\text{ = 2GE = 2(3.35)} \\ \text{AG = }6.7 \\ AE\text{ = GE + AG} \\ AE\text{ = 3.35 + 6.7 } \\ AE\text{ = 10.05} \end{gathered}[/tex][tex]\begin{gathered} D\text{ = midpoint of AB} \\ A(4,\text{ 8), B(2, 0)} \\ \text{midpoint = }\frac{1}{2}(4\text{ + 2), }\frac{1}{2}(8+0) \\ \text{midpoint = 3, 4} \\ DG\text{ = distance from D to G} \\ dis\tan ce\text{ = }\sqrt[]{(3-\frac{14}{3})^2+(4-\frac{4}{3})^2} \\ \text{distance = }\sqrt[]{2.7778+7.1111}\text{ = }3.145 \\ \text{DG = 3}.145 \\ \\ GC\text{ = 2DG = 2(3.145)} \\ GC\text{ = }6.29 \\ DC\text{ = DG + GC} \\ DC\text{ = 3.145 + 6}.29 \\ DC\text{ = }9.435 \end{gathered}[/tex][tex]\begin{gathered} F\text{ is the midpoint of AC:} \\ A(4,\text{ 8) , C(8, -4)} \\ \text{midpoint = }\frac{1}{2}(4+8),\text{ }\frac{1}{2}(8+(-4)) \\ \text{midpoint = 6, 2} \\ \text{Distance GF from G}(\frac{14}{3},\text{ }\frac{\text{4}}{3}\text{) to F(6, 2)} \\ \text{Distance = }\sqrt[]{(2-\frac{4}{3})^2+(6-\frac{14}{3})^2} \\ \text{Distance = }\sqrt[]{\text{0.4445+1.7777}}\text{ = 1.491} \\ G\text{F = 1.491} \\ \\ BG\text{ = 2GF = 2(1.491)} \\ BG\text{ = 2.982} \\ BF\text{ = BG + GF} \\ BF\text{ = 2.982 + 1.491} \\ BF\text{ = 4.473} \end{gathered}[/tex]A bag of marbles comes with 3 blue marbles, 2 red marbles, and 5 yellow marbles.
What is the ratio of RED MARBLES to ALL THE MARBLES?
2 to 5
2 to 10
2 to 8
2 to 3
Answer:
B
Step-by-step explanation:
There are 2 red marbles so the ratio will start with 2, there are also 3 (blue marbles) + 5 (yellow marbles) = 8 marbles. But it says ALL the marbles so also add the red ones, 8 + 2 = 10. The answer is 2 to 10.
What are the domain and range of g(x) = −4?
Answer:
look at attached image!
Step-by-step explanation:
Determine if the problem is done correctly AND explain your reasoning. If the problem is correct then explain the steps that were taken. If the problem is incorrect then explain what the mistake made was and what the correct solution should be. 1) Divide using the reverse tabular method: x - x? - 8x + 12 x + 3 x 4x 4 34 x² - 4x²/4x -X² 4341-12x 12 -12 - 8x Х 3 2. x?-4x+4
the answer is correct
we have to check that if we operate the numbers that are inside the box we get the numerator
[tex]x^3+3x^2-4x^2-12x+4x+12[/tex][tex]x^3+x^2-8x+12[/tex]PLEASE HELP 3x^2 - 3x - 18
Answer: 3(x-3)(x+2) is the solution
Step-by-step explanation:
Common factor
Use the sum-product pattern
Common factor from the two pairs
Rewrite in factored form
Answer:
x1,2= 3;-2
Step-by-step explanation:
3x^2 - 3x - 18=0
Counting discriminant: (-3)^2-4*3*-18=225
X1,2= 3+-√225/2*3= 3+-15/6=3;-2
X1=3, x2=-2
Calculate the difference between 7.841 and 3.733
You have to subtract each value from rigth to left.
[tex]\begin{gathered} 007.841 \\ -03.733 \\ \text{ 4.107} \end{gathered}[/tex]The result for 7.841 minus 3.733 is 4.107
I need to find x. if m
Given:-
[tex]\angle BCD=51[/tex]To find the value of x.
Since the corresponding opposite angles are equal and also the sum of angles inside a triangle is 180 degrees. we get,
[tex]\begin{gathered} 14x+4+55+51=180 \\ 14x+110=180 \\ 14x=180-110 \\ 14x=70 \\ x=\frac{70}{14} \\ x=5 \end{gathered}[/tex]So the required value of x is 5.