The value of a for system ax + 12y = −6, 2x − 6y = 4 having no solution is a = -4.
What is the equation?Equation: A statement that two variable or integer expressions are equal. In essence, equations are questions, and the motivation for the development of mathematics has been the systematic search for the answers to these questions.
Given:
ax + 12y = −6
2x − 6y = 4
Calculate the value of a by using the condition of no solution of the system given below,
[tex]a_1 / a_2 = b_1 / b_2 \neq c_1/c_2[/tex]
So, a₁ / a₂ = b₁ / b₂
a / 2 = 12 / (-6)
a / 2 = - 2
a = -4
And -4 / 2 ≠ -6 / 4
Therefore, the value of a for system ax + 12y = −6, 2x − 6y = 4 having no solution is a = -4.
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HELP MEE!! 45 points!!
Solve. What is r in the inequality? r– (–1) ≤ 1
Answer:
r ≤ 0
Step-by-step explanation in image.
Answer:
r<0
Step-by-step explanation:
r-(-1)<1
the oposite of -1 is 1
r+1<1
subatract 1 from both sides
r<1-1
subatract 1 from 1 to get 0
r<0
pls Help me , I need you !!!!
The value of a guitar has been found to be -80y + 800, where y is the number of years since it was released.
By how much is the value of the guitar decreasing per year ?
How much Was the initial value of the comic?
Answer:
13% and 81
Step-by-step explanation:
What can you conclude about the triangles? *Hint: What is congruent and how can you prove it?
The conclusion about the triangle is that the two triangles are congruent i.e they are equal
What are Congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
In the figure, triangle ∆GHJ and ∆ GKM are the two triangles formed.
To prove that triangle GHJ = GKM
angle KGM= angle JGH ( opposite angles)
angle K = angle H (alternating angles)
Therefore angle H = angle J
since the three angles of each triangles are equal, we can say the triangles are congruent.
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pls help due tommorw!!! pretty easy!!
The solution is x²
The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , a monomial that will make the expression as a square of a sum or a difference of trinomial is calculated as
(a-b)² = a² -2ab + b²
where a² = 36
taking square roots on both sides of the equation , we get
a = 6
-2ab = -12x
So , one of the variable is x
So , substituting the value of b = x , we get
( 6 - x )² = 36 - 12x + x²
Therefore , the value of the monomial is x²
Hence , The monomial that will make the expression as a square of a sum or a difference of trinomial is x²
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An Uber driver charges $1.75 plus a fee
of $0.85 for each mile traveled. The
total cost of a ride, without a tip, is $8.75. Write
an equation if you wanted to find the value of m,
the number of miles traveled.
The equation is $1.75+$0.85m= $8.75, after solving the value m =8.24 miles.
What is equation?An algebraic expression contains one or more variables along with numbers show the equality among them.
Why we use equation?we use equation to determine an unknown value. we create equation based on a mathematical statement and finally solve it.
The following is the solution of equation of the statement given in question.
Given, fee per mile = $0.85
Charges = $1.75
Total cost of ride = $8.75
let, m is the number of miles travelled
Now, the equation is $1.75+$0.85m = $8.75
after solving 0.85m = 7.00
m = 8.24 miles
hence, the Uber travelled 8.24 miles
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A town in east Texas received 25 inches of rain in two weeks. If it kept raining at this rate for a 31-day
month, how much rain did the town receive? Round your answer to the nearest inch.
The town received approximately
inches of rain during a 31-day month.
We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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We get approximately 56 inches of rain during a 31-day month.
What is the rate in mathematics?
In mathematics, a rate is a ratio that compares two different quantities. It is a way to express the relationship between two quantities that have different units of measure. For example, you might express the rate at which you are traveling as miles per hour, which compares the distance you have traveled (in miles) to the time it took you to travel that distance (in hours).
To find the amount of rain the town received in a 31-day month, we need to determine the daily rainfall rate and then multiply it by the number of days in the month.
The town received 25 inches of rain in two weeks, which is equal to 25/2 = 12.5 inches per week. Since there are 7 days in a week, the daily rainfall rate is 12.5/7 = 1.79 inches per day.
If it kept raining at this rate for a 31-day month, the town would receive approximately 1.79 inches per day * 31 days = 55.9 inches of rain.
Hence, we get approximately 56 inches of rain during a 31-day month.
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Find each and every measure.
Answer: BELOW
Step-by-step explanation:
m<1 62°
m<2 39°
m<3 26°
m<4 55°
m<5 55°
m<6 35
A triangle is equal to 180° so you keep adding angles till you have all your answers.
Find the length of the segment indicated. Round your answer to the nearest tenth if necessary.
Answer:
B) 10
Step-by-step explanation:
The triangles are congruent by HL. Thus, by CPCTC, [tex]x=10[/tex].
Jimmy drives 6.5 miles to his aunt’s house. For every mile Jimmy drives, the amount of gas in the car’s gas tank changes by -0.04 gallon. What is the total change in the gallons of gas in the cars tank??
We will see that the amount of gasoline increased by 5.25 gallons over that five-day period.
How many more or fewer gallons of gas did the car's tank contain overall?Here we want to study the table to see the total change in the amount of gasoline over the five-day period.
Now we need to study the given graph:
Notice that each day we have the change of that particular day, then we just need to add all of these changes and we will get the total change.
Where the negative numbers mean that the gasoline was used, and the positive numbers represent a charge in the gasoline (so it increases).
C = -1.05 - 1.20 - 0.85 + 10.50 - 2.15 = 5.25
This means that, in total, the amount of gasoline increased by 5.25 gallons over that five-day period.
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What types of values of the test statistic for the kruskal wallace test support the alternative hypothesis?.
One of the non-parametric tests used it as a generalized version of such Mann Whitney U test is the Kruskal-Wallis test.
Explain the term Kruskal-Wallis Test?One of the non-parametric tests used as an expanded version of a Mann Whitney U test is the Kruskal-Wallis test.
It's employed to test the null hypothesis, which claims that "k" samples were taken from the same population or an identical population and that the median for each sample was the same or same. The null hypothesis can be expressed mathematically as S1 = S2=..... = Sk if Sj is the population median again for jth group and sample with in Kruskal-Wallis test. Naturally, the alternative theory would be that Si and Sj are not equal. This indicates that there are different pairs in at least 1 pair of groups and samples.As a result, it has been used to investigate the null hypothesis, which claims that 'k' samples were taken from populations that were either identical or similar and had medians that were similar or slightly similar.
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Select the correct answer.
What is the right-hand limit of f (x) = x/x-5 as x approaches 5?
The right-hand limit, also known as the right sided limit, is the value of a function when its input approaches a value with a small increment.The answer is + ∞
As x gets closer to 5, what is the right-hand limit of f (x) = x/x-5?The upper bound of what f(x) can be as x moves toward a from the right, denoted by lim xa+f(x)=L.
By choosing x values that are sufficiently close to a where x>a and xa, we can bring the values of f(x) as close to the limit L as we wish.
The expression for the right hand limit of f(x) is:
f = x+c / x+c-5
can be simplified with some algebraic handling:
f = 1/ x+c - 5/x+c
f = 1/1-5/ x +c
Let be , x =5 as is approaching zero, f is positive and becomes bigger, diverging to . + ∞
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What are the slopes of the lines representing Juliana's
and Emiliano's recipes?
Let x represent the number of cups of flour and y
represent the number of cups of sugar.
to get the slope of any straight line, we simply need two points off of it, for Juliana and Emiliano let's use those points in the picture below.
[tex]\stackrel{\textit{\LARGE Juliana}}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{2})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{2}}} \implies {\Large \begin{array}{llll} \cfrac{1 }{ 2 } \end{array}} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\stackrel{\textit{\LARGE Emiliano}}{(\stackrel{x_1}{1\frac{1}{2}}~,~\stackrel{y_1}{1})\qquad (\stackrel{x_2}{4\frac{1}{2}}~,~\stackrel{y_2}{3})} ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{3}-\stackrel{y1}{1}}}{\underset{run} {\underset{x_2}{4\frac{1}{2}}-\underset{x_1}{1\frac{1}{2}}}}\implies {\Large \begin{array}{llll} \cfrac{2}{3} \end{array}}[/tex]
Find the equation of the line specified. The slope is 7, and it passes through ( 8, 6). A. Y = 7x - 50 c. Y = 7x + 6 b. Y = 14x - 50 d. Y = 7x + 62 please select the best answer from the choices provided a b c d.
The equation of the line is y = 7x - 36
Equation of the line,
For the given slope and the point the equation of the line is written as,
(y - y1) = m (x - x1)
Given,
The slope is 7, and it passes through ( 8, 6).
Here we need to find the equation of the line.
While we looking into the give equation, we have identified the following,
slope = 7
point = (8,6)
When we apply the values on the formula of equation of the line, then we get,
=> (y - 6) = 7 (x - 6)
When we simplify this one then we get,
=> y - 6 = 7x - 42
Then it can be rewritten as,
=> y = 7x - 36
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Find the value of the expression 4a + 7 when a = 1/2
.
Answer:
9
Step-by-step explanation:
4×1/2=2 and adding on 7 would make 9
9
Step-by-step explanation:Expressions are mathematical statements without equal signs.
Expressions and Variables
Expressions are simply combinations of different numbers and operators. The reason 4a + 7 qualifies as an expression is because it has 2 values connected by an operator and no equal sign. In this expression, there is multiplication and addition.
Variables are letters in equations or expressions that represent some numerical value. Variables can represent any number, but in this case, we are told a = 1/2.
Solving the Expression
To solve the expression, all we need to do is plug 1/2 into the expression.
4(1/2) + 7Then, multiply,
2 + 7And add,
9So, when a = 1/2, 4a + 7 = 9.
HELP ME THIS IS DUE TOMARROW
What linear expression would you need to subtract from (5x+3) to have a difference of −x ?
Answer: Expression that is to be deducted will be (6x + 3).
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What is m∠C? What is m∠C?
The unknown angle in the triangle is as follows:
m∠C = 60 degrees.How to find the angle of a triangle?A triangle is a polygon with three sides. The sum of angles in a triangle is 180 degrees.
A triangle can be named base on it's angles or sides. They include equilateral triangle, scalene triangle, Isosceles triangle, Right triangle, Acute triangle etc
Therefore, let's solve the angle C of the triangle as follows;
m∠C = 2x
x + 2x + 3x = 180
6x = 180
divide both sides by 6
x = 180 / 6
x = 30
Therefore,
m∠C = 2x = 2(30) = 60 degrees.
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There are 6 cards in a bag numbered 1 through 6. Suppose we draw two cards numbered A and B out of the bag(without replacement), what is the variance of A 2B
The Variance of (A +2B) is 12.6724.
What is Variance ?
Variability is measured by the variance. The average of the squared deviations from the mean is used to compute it. The degree of dispersion in your data collection is indicated by variance. The variance is greater in respect to the mean the more dispersed the data.
Here we have to select two card out of 6 card. now suppose we take 2 card (1,2 ) out of six card (1,2,3,4,5,6) . so here A=1 and B=2 but it is also possible that A=2 and B =1 because it represent same two card . Therefore here order of card matter.
Hence the posible out come of selecting 2 card are (without replacement)
-- (1,2) (1,3) (1,4) (1,5) (1,6)
(2,1) -- (2,3) (2,4) (2,5) (2,6)
(3,1) (3,2) -- (3,4) (3,5) (3,6)
(4,1) (4,2) (4,3) -- (4,5) (4,6)
(5,1) (5,2) (5,3) (5,4) -- (5,6)
(6,1) (6,2) (6,3) (6,4) (6,5) --
Therefore A+2B of this outcome are
A B A+2B
1 2 5
1 3 7
1 4 9
1 5 11
1 6 13
2 1 4
2 3 8
2 4 10
2 5 12
2 6 14
3 1 5
3 2 7
3 4 11
3 5 13
3 6 15
4 1 6
4 2 8
4 3 10
4 5 14
4 6 16
5 1 7
5 2 9
5 3 11
5 4 13
5 6 17
6 1 8
6 2 10
6 3 12
6 4 14
6 5 16
therefore there variance of A +2B can be computed as follows
x x2
5 25
7 49
9 81
11 121
13 169
4 16
8 64
10 100
12 144
14 196
5 25
7 49
11 121
13 169
15 225
6 36
8 64
10 100
14 196
16 256
7 49
9 81
11 121
13 169
17 289
8 64
10 100
12 144
14 196
16 256
[tex]\Sigma x=315[/tex] [tex]\sum x^2=3675[/tex]
Therefore variance
[tex]$$\begin{aligned}& =\frac{\sum x^2-\frac{\left(\sum x\right)^2}{n}}{n-1} \\& =\frac{3675-\frac{(315)^2}{30}}{30-1} \\& =\frac{3675-3307.5}{29} \\& =12.6724\end{aligned}$$[/tex]
The Variance of (A +2B) is 12.6724.
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There are 35 questions total!! Please answer with an explanation and whoever answers correctly will get BRAINLIEST!!
Answer:
I think the answer will be weak positive
Simplify: √64r8
O 87r²
O 87r4
O 32r²
O 32r4
[tex]8r^{4}[/tex]
Step-by-step explanation:√(64r^8) = √((8r^4)^2) = 8r^4
_____
You can make use of either or both of these rules of exponents:
(a^b)^c = a^(b·c) . . . . . used above
[tex]\sqrt[n]{a}[/tex] = a[tex]\fra {1}{n}[/tex]
Using the second rule, you can write the expression as ...
[tex]\sqrt{64r^8}[/tex] = [tex]\sqrt{64}[/tex] · [tex]r^8^*1/2[/tex] = [tex]8r^4[/tex]
I hope my answer helped you! If you need more information or help, comment down below and I will be sure to respond if I am online. Have a wonderful rest of your day!
The perimeter of a rectangle is 168 feet. Find the length and width if the length is an integer and the width is 4 times the next consecutive integer.
The length and width of the rectangle are "2.62467ft and 81.38cm "
What is a rectangle?A rectangle is a quadrilateral with four right angles in the Euclidean plane. It may alternatively be described as a parallelogram with a right angle or an equiangular quadrilateral, where equiangular denotes that all of its angles are equal. A square is a rectangle with four equally long sides.
According to the given information:
Using the formula
P=2(l+w)
Solving for l
[tex]l=\frac{P}{2}-w=\frac{5.51}{2}-0.13 \approx 2.62467 \mathrm{ft}[/tex]
Solving for w
[tex]w=\frac{P}{2}-l=\frac{168}{2}-2.62=81.38 \mathrm{~cm}[/tex]
So, the length and width of the rectangle are "2.62467ft and 81.38cm "
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2.3.PS-17 Question Help - Julio says, "If you subtract 14 from my number and multiply the difference by -2, the result is -40." What is Julio's number?
please and Thank You
Answer:
34
Step-by-step explanation:
-2(x - 14) = -40 Distribute the -2
-2x + 28 = -40 Subtract 28 from both sides
-2x = -68 Divide both sides by -2
x = 34
Check:
34- 14 = 20
-2(20) = -40
15. Suppose $12,000 is borrowed for 5 years and is to be paid back with interest in one lump sum. If the annual interest
rate is 8%, what will the lump sum payment be? (Use 1= Prt)
a. $16,800.00
b. $492,000.00
c. $16,100.00
d. $17,400.00
e. $4,800.00
Answer:
Step-by-step explanation:
To solve this problem, we need to use the formula for the present value of a lump sum payment: $PV = FV \cdot (1 + r)^{-t}$, where $PV$ is the present value (the lump sum payment that needs to be made), $FV$ is the future value (the amount borrowed), $r$ is the annual interest rate, and $t$ is the number of years the money is borrowed for.In this case, we are given that $FV = 12,000$, $r = 8%$, and $t = 5$ years. Plugging these values into the formula, we get $PV = 12,000 \cdot (1 + 0.08)^{-5} = 12,000 \cdot 0.5987 = 7,184.40$.Therefore, the lump sum payment that needs to be made is $PV = \boxed{7184.40}$. The answer is $\boxed{\text{(a)}\ $16,800.00}$ is incorrect.
One interior angle of a triangle is 34°, and the other two angles are congruent. Choose the equation that could be used to determine the degree measure of one of the congruent angles. x − 34 = 90 x + 34 = 180 2x − 34 = 90 2x + 34 = 180
There are 26,358 children living in this town. Half of the children are boys. There are about ________ boys living in this town.
Answer:
13179
Step-by-step explanation:
It says half of the children are boys, which means division
26358 divided by 2 is 13179
Answer:
13,179
Step-by-step explanation:
the answer is 13,179 because 26,358 divided by 2 is 13,179
2=1/2
2- Don Benito had 400
Sheep and will sell 3/4 of that amount, how many sheep will she sell?
To find the number of sheep that he will sell, three-fourths of the total number of sheep he had must be calculated. For this, the fraction must be multiplied by the whole number:
[tex]\begin{gathered} \sf \frac{3}{4} \times 400 = \\ \\ \sf \frac{3}{4} \times \frac{400}{1} = \\ \\ \sf \frac{3 \times 400}{4 \times 1} = \\ \\ \sf \boxed{ \sf \frac{ \red{1200}}{ \red4}} = \blue{300}\end{gathered}[/tex]
Therefore, he will sell three hundred sheep.
Answer: She will sell 300 sheep
Step-by-step explanation:
1/4 of 400 sheep is 100 sheep, to find this by, taking 400 divided by 100
So 3/4 will be 300 sheep, to find this by taking 100 timed 3
If you can, please give me a Brainliest, I need 1 more to become an Ace, thank you!
I don't have much to say please help me
Answer: for 216 the answer is 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108 and 216
for 96 it is 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, and 96.
for 64 it is 1, 2, 4, 8, 16, 32 and 64.
Step-by-step explanation:
Convert 10 meters 1 min to centimeters mim
The 10 meters /1 min = 1000 centimeters/min.
What is unit conversion meaning?
The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be expressed in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.
We have,
10 meters per 1 min
We know that,
Meters to a centimeters conversion table
Meters (m) Centimeters (cm)
0.1 m 10 cm
1 m 100 cm
2 m 200 cm
3 m 300 cm
so,
10 m 1000 cm
1000 centimeters per min.
Hence, the 10 meters /1 min = 1000 centimeters/min.
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To hike a total of 11/6 miles, she would have to hike for____ days. To hike a total of 1/3 of a mile, she would have to hike for____ days.
To hike a total of 11/6 miles, she would have to hike for 11 days. To hike a total of 1/3 of a mile, she would have to hike for 2 days.
How to calculate days ?She hikes 1/6 a day, to get 11/6 , she would have to hike 11 days
to hike 1/3 of a mile
1/3 / 1/6 = 1/3 * 6/1 = 6/3 = 2
so she would have to hike 2 days
To hike a total of 11/6 miles of distance in 11 days, the person would have to hike an average of 11/6 / 11 = 11/66 miles per day.
To hike a total of 1/3 of a mile in 2 days, the person would have to hike an average of 1/3 / 2 = 1/6 miles per day.
Thus, to hike a total of 11/6 miles, the person would have to hike for 11 days, and to hike a total of 1/3 of a mile, the person would have to hike for 2 days.
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need help on this ASAP!!
Answer:
no solution to the equation
Step-by-step explanation:
Answer:
no solution to the equation
Hello Can someone solve this with steps please
Answer:
7.5 x 10^5
Step-by-step explanation:
See the attached worksheet.
Scientific notation is a very convenient protocol for working with, and reporting, very large or small numbers. It allows one to condense all the non-significant zeros into an expression of 10^x. Examples:
1) 0.00000000000000000015 becomes 1.5x10^-19, and
2) 45000000000000000000000 becomes 4.5x10^22
Both numbers are much easier to compare, the notation approach saves space (publishers), takes less time to type, and makes the math much easier, as this problem will demonstrate. It also eliminates many transcription errors. E.g., try dividing these two numbers using long division.
The specific problem here is to divide two very different numbers. The attached worksheet explains the steps.