The solution of the equations 18x - 2y = -4 and 4x - y = -2 is (0,-2). Hence option c is the correct option.
What is an equation?
A mathematical statement known as an equation is made up of two expressions joined together by the equal sign. A formula would be 3x - 5 = 16, for instance. When this equation is solved, we discover that the value of the variable x is 7.
Given pair of equations is
18x - 2y = -4 ....(i)
4x - y = -2 .....(ii)
To solve the equation apply elimination method.
Multiply equation (ii) by 2 and subtract it from (i):
18x - 2y = -4
8x - 2y = -4
(-) (+) (+)
_________
10x = 0
x = 0
Putting x = 0 equation (ii)
0 - y = -2
y = 2
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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 it's urgent!
part a) says write an equation and solve for x
Answer: look at explanation
Step-by-step explanation:
1. Since those are congruent you equal them to eachother: 6x-8=4x+2
2. Then you solve (steps are shown below)
a) 6x-8=4x+2
b) 2x-8=2
c) 2x=10
d) x=5
3. Answer should be x=5
hope this helps!
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
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:
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).
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
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.
BASED ON BEN’S WORK SHOWN, HOW WOULD HE RESPOND?
The point IS a solution to the system. Only one of the equations resulted in anidentity.
The point isNOT a solution to the system. Both equations resulted in identities.
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
The point IS a solution to the system. Both equations resulted in identities.
The point is NOT to fix the system. There was just one equation that produced an identity. The right answer option 3
Equation: What is it?An equation is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
X = 6 and Y = -8 are the points in BEN'S WORK SHOWN's 2x + y = 4 equation, and after solving it, we have the verification.
However, for x + 3y = -20, the points x = 6 and y = -8 are not solved, and since points here only fulfill one equation,
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
if both the solution would have been then we can say that point is a solution to the system. but this is not true as one equation is not satisfy
The point is NOT a solution to the system. Both equations resulted in identities. this is also not true as one is identities not both.
The point IS a solution to the system. Both equations resulted in identities. this is also not true as both are not identities as only one is identities.
Thus option 3 is correct
The point is NOT a solution to the system. Only one of the equations resulted in an identity.
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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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triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin. Which equation explains the relationship between BC and B"C"
Answer:
the equation that explains the relationship between BC and B"C" is:
BC = 2 * B"C"
This equation states that the length of BC is equal to twice the length of B"C".
Step-by-step explanation:
If triangle A"B"C" is formed using the translation (x+1,y+1) and the dilation by a scale factor of 3 from the origin, then the coordinates of the vertices of triangle A"B"C" can be expressed as follows:
A" (x+1, y+1)
B" (3x+3, 3y+3)
C" (3x+6, 3y+6)
To find the equation that explains the relationship between BC and B"C", we can use the distance formula to find the length of both segments. The distance formula is:
distance = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Using the distance formula, we can find the length of BC as follows:
BC = √((3x - x)^2 + (3y - y)^2)
= √((2x)^2 + (2y)^2)
= √(4x^2 + 4y^2)
= 2√(x^2 + y^2)
We can also find the length of B"C" as follows:
B"C" = √((3x+6 - 3x-3)^2 + (3y+6 - 3y-3)^2)
= √((3)^2 + (3)^2)
= √(9 + 9)
= √(18)
= 3√(2)
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
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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Help pls high points given
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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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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One weekend, a shop had 850 customers. 375 were men and the rest were women. What is the ratio of men to women customers in its simplest form?.
When there were 375 men and 475 women, the simple ratio of men to women clients was 15/19.
What is ratio?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. For instance, you could express the ratio as follows: 1: 3 if there is 1 boy and 3 girls (for every one boy there are 3 girls) There are 1 in 4 boys and 3 in 4 girls.
Here,
Total customers=850
Total number of men=375
Total number of women,
=850-375
=475
The ratio of men to women customers,
=375/475
Divide both terms by the GCF 25,
375 ÷ 25 = 15
475 ÷ 25 = 19
=15/19
The ratio of men to women customers in its simplest form is 15/19 when there were 375 men and 475 women.
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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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How can you show that these two circles are similar?
well, similarity on circles is a phony business
in essence, all circles are similar by definition, I mean, hell they're all circular, what's so unsimilar about that?
however, the silly proof asks to translate it about and then dilate it to be superimposed on the other.
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
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.
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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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
Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all. How many of her jars have 9 beads?
A 3 jars
B 6 jars
C 9 jars
The number of Suzanne jars that have 9 beads is 9.
How to find the number of jars that have 9 beads?Suzanne has 12 jars of beads. some of her jars have 15 beads, and the others have 9 beads. she has 126 beads in all.
The number of jars that have 9 beads can be calculated as follows:
let
the number of jars that have 15 beads = x
the number of jars that have 9 beads = y
Hence,
x + y = 12
15x + 9y = 126
multiply equation(i) by 15
15x + 15y = 180
15x + 9y = 126
subtract equation(i) from equation(ii)
6y = 54
divide both sides by 6
y = 54 / 6
y = 9
Therefore,
jars with 9 beads = 9
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On Wednesday 28% of the customers who bought gas at a gas station made additional purchases. There were 300 customers who bought gas. How many of these 300 customers made additional purchases?
Answer:70 i think srry if its wrong
Step-by-step explanation:
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
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
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
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
Graph the line that has a slope of 2 and includes the point (2,8)
Answer:
y = mx + c
8 = 2x + 2
Find the length of AB.
8 m
80°
AB =[? ]m
Round your answer to the nearest hundredth.
Answer:11.17
Step-by-step explanation:
pi x D x angle /360
pi x 8x2x80/360
=11.170