After solving the provided question, The value for a in the system of equations below would yield no solutions for the system is [tex]= > a = 18 - 20\frac{y}{x}[/tex]
A system of equations is what?several equations at once, multiple equations In algebra, you must work together to solve two or more equations (i.e., the solution must satisfy all the equations in the system). For a system to have a unique solution, there must be an equal number of equations and unknowns.
When there are two variables and you are given two pieces of information about how those variables are related, a system of equations is used. To address a number of typical problems, a system of equations can be employed.
[tex]3x-5y=15\\multiply with 6\\18x -30y = 90\\compare the equation with \\ax-10y=90\\then \\18x -30y = ax-10y\\ax = 18x + 10y -30y\\ax = 18x-20y\\a= (18x -20 y) / x\\[/tex]
[tex]= > a = 18 - 20\frac{y}{x}[/tex]
x≠o
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5. Find the distance between A(9,-7) and B(14, -5).
Answer:
ANS:- sqrt(29)
Step-by-step explanation:
= sqrt(x2 - x1)^2 + (y2 - y1)^2
x1 = 9, x2 = 14, y1 = -7, y2 = -5
= sqrt (14 - 9)^2 + (-5 + 7 )^2
= sqrt(5)^2 + (2)^2
=sqrt(25 + 4)
=sqrt(29)
What is the result of subtracting the second equation from the first? \begin{aligned} 8x-4y &= -4 \\\\ -3x+4y &= 5 \end{aligned} 8x−4y −3x+4y =−4 =5
The resulting equation after the equations are subtracted is 11x - 8y = -9
How to determine the resulting equation after the subtraction?From the question, we have the following parameters that can be used in our computation:
8x-4y &= -4 \\\\ -3x+4y &= 5
Rewrite these equations properly
So, we have the following representations
8x-4y = -4
-3x+4y = 5
When the second equation is subtracted from the first, we have the following representation
8x + 3x - 4y - 4y = -4 - 5
Evaluate the like terms
So, we have
11x - 8y = -9
Hence. the solution is 11x - 8y = -9
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1. Please summarize the roles of African Americans in the Civil War.
Answer:
Black soldiers served in artillery and infantry and performed all noncombat support functions that sustain an army, as well. Black carpenters, chaplains, cooks, guards, laborers, nurses, scouts, spies, steamboat pilots, surgeons, and teamsters also contributed to the war cause.
Step-by-step explanation:
Hope this helps<3
Answer:
African Americans played a significant role in the Civil War. They served as Union soldiers, sailors, spies, and scouts. African American soldiers fought in every major battle of the war and they played a key role in the Union victory at the Battle of Antietam. African American sailors served on Union ships and helped blockade southern ports, spies provided information about Confederate military plans and movements, and scouts helped the Union army locate enemy troops and plan military campaigns.
if the p value is less than a in a two-tailed test, a. the null hypothesis should not be rejected. b. the null hypothesis should be rejected. c. a one-tailed test should be used. d. more information is needed to reach a conclusion about the null hypothesis.
In a two-tailed test, the null hypothesis should be rejected in favor of the alternative hypothesis if the p-value is smaller than a. Therefore option (b) is the right answer.
What is null hypothesis?A common statistical theory called the null hypothesis asserts that there is no statistical relationship or significance between two sets of observed data and measured events for a given single observed variable.
A p-value less than 0.05 (usually 0.05) is considered statistically significant when using the P-value technique to conduct any hypothesis test. With less than a 5% chance that the null is true, it provides strong evidence against the null hypothesis (and the results are random). The alternative hypothesis is thereby accepted, whereas the null hypothesis is rejected.
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. if you had an infinite supply of water and a 5 quart and 3 quart pail, how would you measure exactly 4 quarts?
to measure exactly 4 quarts well first fill the 3 quart pail 2 times and pour it into the 5 quart pail and remaining answer is below.
What size is a quart?1 US liquid quart is the same as 2 pints, 4 cups, and 32 ounces in terms of volume. It's vital to remember that a dry quart equals 4.6546 cups when converting any dry component.
Is a quart basically a liter?A liter contains 1.057 quarts, and a quart contains 0.946 liters. This is what? Because the measurements are so similar, you can treat liters and quarts the same for many conversions.
As we an infinite supply of water and a 5 quart and 3 quart pail, and we have to measure exactly 4 quarts
so, first we'll first fill the 3 quart pail and pour it into the pail of 5 quart.
now we'll again fill the 3 quart pail and pour it into the pail of 5 quart
this time the 5 quart pail will be filled before the 3 quart pail get completely empty.
at this time; 3 quart pail is containing the 1 quart in it. now pouring into the 3 quart pail and combining with the 3 quart, it will make 4 quarts after pouring into the 5 quart pail.
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If you flip a coin 300 times,how many times would you expect it to land on tails (same question for heads) Heads Frequency:35 Tails frequency:65
I flip a coin 300 times.
So the possibility of head :
The formula for probability is
Probability=
\frac{number of total events}{number of favorable events}
From the given data in the question,
The coin is tossed total 300 times,
We got head 35 times in 300 times,
So the probability of getting a head is =
[tex] \frac{300}{35} [/tex]
Same do as Tails
Help pls high points given
The ratio of yellow marbles to purple marbles was 13 to 4. If there was 102 marbles in the bag, how many were yellow marbles?
The total number of yellow marbles in the bag was 78 marbles
What is Proportion?
The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
Given data ,
The ratio of yellow marbles to purple marbles in the bag = 13 : 4
Let the total number of yellow marbles in the bag be = 13x
Let the total number of purple marbles in the bag be = 4x
Now , the equation will be
The total number of marbles in the bag = 102
So , substituting the values in the equation , we get
The total number of marbles in the bag = total number of yellow marbles + total number of purple marbles
The total number of marbles in the bag = 13x + 4x
13x + 4x = 102
17x = 102
Divide by 17 on both sides of the equation , we get
x = 6
Therefore , substituting the value of x in the above expressions , we get
Total number of yellow marbles in the bag = 13x
Total number of yellow marbles in the bag = 13 x 6
Total number of yellow marbles in the bag = 78 marbles
And ,
Total number of purple marbles in the bag = 4x
Total number of purple marbles in the bag = 4 x 6
Total number of purple marbles in the bag = 24 marbles
Hence , The total number of yellow marbles in the bag was 78 marbles
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Select one of the four properties—commutative, associative, identity, distributive—to explain how you remember the rule for multiplication and division. Then, explain how the rule is similar or different with addition and subtraction.
Changing the order of the factors does not change the product, according to the commutative property of multiplication.
What is cumulative property?Changing the order of the factors does not change the product, according to the commutative property of multiplication. Here's an illustration: 4 × 3 = 3 × 4 4 x 3 = 3 x 4, or 4 x 3 = 3 x 4.
The distributive property of binary operations in mathematics generalizes the distributive law, which states that in elementary algebra, equality is always true. For instance, in basic mathematics, one has to According to one, addition is distributed more evenly than multiplication.
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9th grade math need help asp
Answer:
10
Step-by-step explanation:
look at where the 2 lines meet and then look at the minutes
please help i have to make a discussion topic doesn’t have to be long just simple but still answering the question
You would add 5x + 2x = 7x
Substitute 5 for x and that = 5(5)= 35 +2(5)= 10= 45
and do it for 7(5)= 35-1 = 34 too
You can't make them equal
Following the pattern in (5)(3)+(2)(3) = (5+2)(3), we could do the same thing with 5x+2x = (5+2)x. We're basically un-distributing the common factor from each term.
And now with (5+2)x, we can add the 5 and 2 to get 7x.
If we substitute different values into 5x+2x, it works out to add up to 7 times that same substituted value. For example:
(5)(9)+(2)(9)=45+18=63
(7)(9)=63
If we substitute 9 into 7x-1, then we end up with 63-1 = 62.
In fact, any number we put into 5x+2x will always be one more than 7x-1. So, no, there doesn't seem to be any value of x that would make these equal. Since 5x+2x=7x, then 7x-1 will always be one less than 7x.
What is the range of this graph?
Answer: A) [tex]f(x)=[/tex] all real numbers
Step-by-step explanation:
The range is the set of all output values ([tex]y[/tex]-coordinates).
c) what is an expression for C in terms of?
please help
Answer:
This one is tricky! Let x be any integer. We can make any other integer we want by taking Ax + B, where A and B are integers too. The square of this integer is than (Ax+B)2. When expanded, this comes out to
A2x2 + 2ABx + B2. We've now made an expression which is the square of an integer for all integers x!
Now, we can set the coefficients of powers of x in the problem and in A2x2 + 2ABx + B2 equal to eachother.
A2 = a2
2AB = c
B2 = b2
Since a is positive, a = A, if A is positive. If A is negative, a = -A (or A = -a). The same logic leads to
b = B, if B is positive. If B is negative, b = -B (or B = -b).
Since c is positive, we know that A and B are either both positive or both negative. This leads to 2 cases:
Case 1: A is positive, B is positive. Then A = a, B = b, and
c = 2ab.
Case 2: A is negative, B is negative. Then A = -a, B = -b, and
c = 2(-a)(-b) = 2ab.
Since both cases lead to the same answer, we conclude that
c = 2ab.
Victoria depoited $15,000 into a aving account that earn an annual imple interet rate of 0. 2%. To the nearet tenth of a year, how long will it take for the account to reach $15,500?
At an interest rate of 0.2% per year, $15500 will be reached from $15000 in 16.67 years.
What is percent?In essence, percentages are fractions with a 100 as the denominator. We place the percent symbol (%) next to the number to indicate that the number is a percentage. For instance, you would have received a 75% grade if you answered 75 out of 100 questions correctly on a test (75/100). A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to calculate a percentage of a number, we should divide it by its entirety and then multiply it by 100.
Here,
Principal=15000
Rate of interest=0.2%
Interest amount per year=15000*0.2%
=$30
Let n be the number of years,
15500=15000+30n
500=30n
n=50/3
n=16.67 years
It will take 16.67 years to reach the amount of $15500 from $15000 at the interest rate of 0.2% per year.
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Is this table proportional?
width of photo (inches)
2
4
5
8
height of photo (inches)
3
6
7
10
The rate in different states is different. Then the table is not proportional.
What are ratio and proportion?A ratio is a group of sequentially ordered numbers a and b expressed as a/b, where b is never equal to zero. When two objects are equal, a statement is said to be proportional.
Width of photo (inches) Height of photo (inches)
2 3
4 6
5 7
8 10
The rate is calculated as different states are given below.
R₁ = (6 - 3) / (4 - 2)
R₁ = 1.5
R₂ = (10 - 7) / (8 - 5)
R₂ = 1
The rate in different states is different. Then the table is not proportional.
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Which of the following is equal to the square root of the cube root of 6? (4 points)
A. 6 to the power of one sixth
B. 6 to the power of one third
C. 6 to the power of two thirds
D. 6 to the power of three halves
Answer:
A. 6 to the power of one sixth
Step-by-step explanation:
To find the square root of the cube root of 6, you need to first find the cube root of 6, which is equal to 2. Then, you need to take the square root of 2, which is equal to 1.4142135623730951. Therefore, the square root of the cube root of 6 is equal to 1.4142135623730951.
To express this value using exponents, you can use the property that the square root of x is equal to x to the power of one half. Therefore, the square root of the cube root of 6 is equal to 6 to the power of one half of one third, which simplifies to 6 to the power of one sixth.
I the convere of the following conditional True or Fale? "If a polygon i a triangle, then it ha exactly three ide. "
False. The converse of the given conditional statement is "If a polygon has exactly three sides, then it is a triangle."
What are conditional statements?Logic statements that contain both the hypothesis and the conclusion are known as conditional statements. A statement is considered to be true when it is used as the hypothesis, but a statement is considered to be true when it is used as the conclusion. In a conditional statement, the conclusion can only be true if the hypothesis is accurate. For instance, "If it is raining, then the ground is wet" is a conditional statement, with "it is raining" serving as the hypothesis and "the ground is wet" as the conclusion. If the hypothesis is correct, the conclusion must likewise be correct. If the hypothesis is incorrect, the conclusion might be right or false.
How to solve?
The converse of the given conditional is false.
In general, the converse of a conditional statement is not always true.
In the given example, a polygon can have exactly three sides and still not be a triangle (e.g. an equilateral triangle).
Therefore, the converse of the given conditional is false.
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Melissa wants to buy a bike that costs $135. This is $25 more than 5 times what she saved last month. How much did she save last month? Define a variable, write an equation, and solve. Variable:
Variable: x = amount she saved last month
Equation: 135 = 5x + 25
To solve:
135 = 5x + 25
135 - 25 = 5x
110 = 5x
[tex]\frac{110}{5} = \frac{5x}{5}[/tex]
22 = x
To check:
135 = 5(22) + 25
135 = 110 + 25
135 = 135
A line has a slope 1/4 and passes through the point (1,1)
By substituting into the equation, y=mx+b, find the value of b for this line
Answer: b= 3/4
Step-by-step explanation:
y=1/4x+b
1=1/4(1)+b
1/4-1/4+b=1-1/4
b=3/4
Graph the line that has a slope of 2 and includes the point (2,8)
Answer:
y = mx + c
8 = 2x + 2
x-3/4 = 5/6 Solve for x.
Simplify your answer as much as possible.
Answer:
x = 1 + 7/12
Step-by-step explanation:
First find the common denominator for the fractions
Then you should get x - 18/24 = 20/24
Add 18/24 to both sides to get x = 38/24 or 1 and 7/12
Answer: The value of x is 19/12
Step-by-step explanation:
Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3 : 7
Imran then gives 3/5 of his share of the money to Bhavin.
What percentage of the 6000 rupees does Bhavin now have?
Give your answer correct to the nearest whole number.
The total amount of money owned by Bhavin will be $3100. The percentage of the money will be 51%.
What are ratios and proportions?An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value. The numerical relationship between two values demonstrates how frequently one value contains or is contained within another.
Given that Bhavin, Max and Imran share 6000 rupees in the ratios 2 : 3: 7 Imran then gives 3/5 of his share of the money to Bhavin.
Bhavin's share of the money will be calculated as,
2x + 3x +7x = 6000\x = 500
Bhavin's share = 2x = 2 x 500 = $1000
Imran's share = 7x = 7 x 500 = $3500
Bhavin's total after = 1000 + (3500 x 3 / 5)
Bhavin's total after = 1000 + 2100 = $3100
The percentage of the money,
Percentage = 3100 / 6000 = 51%
Therefore, the total amount of money owned by Bhavin will be $3100. The percentage of the money will be 51%.
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At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.
Step-by-step explanation:
At the DeBartolo Building, 3 out of every 7 employees use public transportation. There are 9,800 employees at the building. How many employees do not use public transportation? Type in the number only.
3 out of every 7 employees use public transportation so 4 out of every 7 employees do NOT use public transportation.
9,800 / 7 = 1,400
1,400 * 4 = 5,600
A rectangular poter ha an area of 504 quare centimeter. The width of the poter 14 centimeter. How long i the poter? Write equation to how your work
Answer:
36 cm.
Step-by-step explanation:
In the question, we have been given ,
Area of the rectangle=504cm2
The width of the rectangle=14cm
The length of the rectangle=?
The formula for the area of the area of the rectangle is L×B. Thus A=L×B(W).
So 504cm2= L×14.
Now divide both sides by 14
504cm2/14=14L/14
Therefore L= 36cm
HURRY!!! Write the equation of the line in fully simplified slope-intercept form.
Answer:
Y=-1/4x-6 that's the answer, you're welcome
The length of a rectangle is 15 cm. What width will make the area at least 315 cm^2
Answer:
At least 16 cm
Step-by-step explanation:
315cm/15 = 16cm
In chemistry class, Charlie records the volume of a liquid as 13.3 milliliters. The true volume is 13.6 milliliters. What is his percent error? Round to the nearest percent
In this triangle, what is the value of x?
Answer: 4.46cm
Step-by-step explanation:
Use [SOH CAH TOA]
We have two sides that are labeled. Use 85cm and x.
Using the angle 63 degrees would mean you are using SOH.
SOH = Opposite/Hypotenuse.
If the above is true, then: Sin63 = x/85
Since we don't know what x is, you want to move 85 to the other side.
85(Sin63) = x
Now, you can find x. Multiply 85 and Sin63. Your answer should be 4.46 (if rounded to 2 decimals).
Two trains, Train A and Train B, weight a total of 301 tons. Train A is heavier than Train B. The difference of their weights is 217 tons. What is the weight of each train?
Answer:
Train A = 259
Train B = 42
Step-by-step explanation:
Answer:
Train A's weight is 259 tons
Train B's weight is 42 tons
Step-by-step explanation:
Let x represent train A's weight, and y represent train B's weight.
Since they both weigh 301 tons
The equation is: x+y = 301
The difference in their weight is 210, and train A is heavier
So equation is: x - y = 217
x+ y =301
x- y = 217
2x = 518
x = 259 tons
Now find train B
301 - 259 = 42 tons
PLEASE HELP ME !!!!! :D