Heather writes the equations below to represent two lines drawn on the coordinate plane.
–6x + 18y = 0
4x – 12y = 20
After applying the linear combination method, Heather arrived at the equation 0 = 60. What conclusion can be drawn about the system of equations?
The equation has no solution; therefore, the system of equations has no solution.
The equation has a solution at (0, 60); therefore, the system of equations has a solution at (0, 60).
The equation has infinite solutions; therefore, the system of equation as infinite solutions.
The equation has a solution at (0, 0); therefore, the system of equations has a solution at (0, 0).
Answer:
its A if you are taking the unit test
Step-by-step explanation:
If adams plain travels at a speed of 375mph in 6hours ,how far did the plane travel
Which fraction is equivalent to 2/6?
Rasheed needs to save $231. To earn money,he plans to wash cars and charge $12 per car.Write two estimates Rasheed could use to determine how many cars he needs to wash
In a sample of students, 12 out of 24 students in a class wanted a sandwich for lunch. using the data from the sample, predict how many students would want sandwiches for lunch in a school of 400
Out of 400 students in school, 200 students would want sandwich in school.
The question is asking to predict how many students would want sandwiches for lunch in a school of 400 based on a sample of 24 students where 12 wanted a sandwich.
Calculate the proportion of students in the sample wanting a sandwich: 12/24 = 0.5
Apply the proportion to the larger school: 0.5 x 400 = 200 students.
Sixteen is 64% of what number?
A.12
B.25
C.32
D.48
How many pints are in 7.5 gallons?
a. 120 pt
b. 90 pt
c. 60 pt
d. 30 pt
is 48/72 and 6/9 Proportional or Nonproportional
The fractions (48/72) and (6/9) are proportional as, (8/8)(6/9) is equal to (48/72).
What are ratio and proportion?In its most basic form, a ratio is a comparison between two comparable quantities.
There are two types of proportions One is the direct proportion, whereby increasing one number by a constant k also increases the other quantity by the same constant k, and vice versa.
If one quantity is increased by a constant k, the other will decrease by the same constant k in the case of inverse proportion, and vice versa.
Given, A fraction 48/72.
Now, If we simplify the fraction by factoring out some common terms we'll have,
24/36.
= 12/18.
= 6/9.
So, They are proportional.
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Solve for the equation. u + 3.5 = 5
Put these numbers in order from least to greatest 11, 7, 8, 3, 6, three, 16, 10, 16
What is the total interest on a ten-year. 6.1% loan with a principal of $32,000?
Final answer:
The total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.
Explanation:
To find the total interest, we need to use the formula:
Interest = Principal × Rate × Time
Given that the principal is $32,000, the interest rate is 6.1%, and the time is 10 years, we can substitute these values into the formula to calculate the total interest:
Principal: $32,000
Rate: 6.1%
Time: 10 years
Interest = $32,000 × 0.061 × 10 = $19,520
Therefore, the total interest on a ten-year, 6.1% loan with a principal of $32,000 is $19,520.
Ted and Robin each gave a basket of green apples to their friend Lily. Ted’s basket contains 5 apples, each weighing ounces. Robin’s basket contains 6 apples, each weighing ounces. Whose basket is heavier and by how much?
Robin's basket is heavier than Ted's basket by 2 ounces.
Explanation:To determine whose basket is heavier, we need to find the total weight of each basket.
Ted's basket contains 5 apples, each weighing 8 ounces. Therefore, the total weight of Ted's basket is 5 * 8 = 40 ounces.
Robin's basket contains 6 apples, each weighing 7 ounces. Therefore, the total weight of Robin's basket is 6 * 7 = 42 ounces.
Since Robin's basket weighs 42 ounces and Ted's basket weighs 40 ounces, Robin's basket is heavier by 2 ounces.
lim x->1 (x^n-1)/(x^m-1) =?
answer that for me please i am very confused
1, 6, 11, 16, 21, . . .
Use inductive reasoning to predict the next term in the sequence.
A.26B.31C.36D.37 ?
slope -2 and passes through (1, 1)
Find dy/dx and d2y/dx2. x = et, y = te−t
The question is about finding the first and second derivatives of y with respect to x. The first derivative dy/dx is found to be (1+t)e^-2t, and the second derivative d2y/dx2 is found to be -2e^-2t.
Explanation:The derivatives are found by differentiating each function with respect to t first, using the product and chain rules, respectively: the derivatives dy/dt and dx/dt are dy/dt = e^-t - te^-t and dx/dt = e^t. Then, dy/dx can be found as (dy/dt)/(dx/dt), and the second derivative d2y/dx2 can be obtained by differentiating dy/dx with respect to x, which will utilize the quotient rule. Specifically, dy/dx = (e^-t(1+t))/(e^t) which simplifies to (1+t)e^-2t, and after a relatively complex differentiation for d2y/dx2, we get -2e^-2t.
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Select the inequality that models the problem.
The length of a rectangle is twice its width. If the perimeter of the rectangle is less than 50 meters, what is the greatest width of the rectangle?
2*2w + 2w < 50
2 + 2w < 50
2w*w < 50
2w < 50 ...?
Carol sells candles and Yankee Candle. She earns $8.50 per hour plus 6% commission on sales. Last week Carol worked 40 hours. What was Carol’s weekly gross salary if her total sales were $250? *
$590.51
$352.16
$355.00
$340.00
Answer:$352.16
Im in a rush so cant add explaination
A box of ground nutmeg weighs 1 1/3 ounce. If there are 20 teaspoons of nutmeg in the box, how much does one teaspoon of nutmeg weigh?
1/15 ounce
1/20 ounce
1/60 ounce
4/3 ounce
we know that
a) A box of ground nutmeg weighs [tex]1 1/3[/tex] ounces
b) There are [tex]20[/tex] teaspoons of nutmeg in the box
Step 1
Convert mixed number to an improper fraction
[tex]1\frac{1}{3} \ ounces= \frac{1*3+1}{3}= \frac{4}{3}\ ounces[/tex]
Step 2
By proportion
Find the weight of one teaspoon
[tex]\frac{(4/3)}{20} \frac{ounces}{teaspoons} =\frac{x}{1} \frac{ounces}{teaspoon} \\ \\x= \frac{4}{20*3}\\ \\x= \frac{4}{60}\ ounces\\\\x=\frac{1}{15}\ ounces[/tex]
therefore
the answer is the option
[tex]\frac{1}{15}\ ounces[/tex]
Confirm that f and g are inverses by showing that f(g(x)) = x and g(f(x)) = x.
f of x equals eight divided by x and g of x equals eight divided by x
true or false Volume can be measured in liters or cubic meters.
You have $6,500 to deposit. If you deposit the money in a savings account at your local bank, you will earn 1.45% annual interest and will be able to make ATM withdrawals at your bank's ATMs. If you deposit the money in an online savings account, you will earn 2.25% interest, but you will be charged $4 every time you make an ATM withdrawal. Assuming that your ATM withdrawals do not reduce the amount of interest you earn, how many ATM withdrawals must you make in a year for the local savings account to be a better deal than the online savings account?
a.
5
b.
12
c.
14
d.
10
Answer:
C. 14
Step-by-step explanation:
I just answered it correct
Hector wrote the following proof for his geometry homework for the given problem:
Statements Reasons
segment LN is congruent to segment NP Given
∠1 ≅ ∠2 Given
∠N ≅ ∠N Reflexive Property
ΔLNO ≅ ΔPNM Angle-Angle-Side Postulate
∠NLO ≅ ∠NPM
Which of the following completes Hector's proof?
Angle Addition Postulate
Converse of Corresponding Angles Postulate
Corresponding Parts of Congruent Triangles Are Congruent
Triangle Proportionality Theorem
Answer:
∠ NLO ≅ ∠ NPM Corresponding Parts of Congruent Triangles Are Congruent
Step-by-step explanation:
It's on my chart on the test this is 100% right
Final answer:
Hector used the Angle-Angle-Side Postulate to show congruency between two triangles. Therefore, the corresponding angles are congruent with the CPCTC principle. Thus, option 3 is correct.
Explanation:
Hector claims that ΔLNO ≅ ΔPNM is based on the Angle-Angle-Side Postulate.
Since the triangles are congruent, their corresponding parts must also be congruent.
Therefore, the statement that ∠NLO ≅ ∠NPM is supported by the principle that Corresponding Parts of Congruent Triangles Are Congruent (CPCTC).
for the sequencing of 3/16, 4/25, 5/36, 6/49
would it be (n+1)/(n^2)? ...?
help?
I don't want the answer, merely step by step instructions on how to solve it! Thanks x
There are 6 quarters in a jar. Jill adds 2 quarters to the jar every day. Which linear equation represents the total amount of quarters in the jar after x days?
y = 6x + 2
y = 1/6x + 2
y = 2x + 6
6y = 2x
Answer: [tex]y = 2x + 6[/tex]
Step-by-step explanation:
Let x represents the number of days .
Given : There are 6 quarters in a jar.
Jill adds 2 quarters to the jar every day.
Then, the number of quarters added in x days = 2x
Now, the total number of quarters in the jar after x days = 2x+6
Hence, the linear equation represents the total amount of quarters in the jar after x days will be:-
[tex]y = 2x + 6[/tex]
What is the equation of the line –3x–2y=30 in slope-intercept form?
Enter your answer in the box.
The slope intercept form of the given equation of a line is y= -3/2 x -15.
The given equation of the line is -3x-2y=30.
What is the slope intercept form?The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.
The standard form of the slope intercept form is y=mx+c.
Now,
-3x-2y=30
⇒ -2y=3x+30
⇒ y= -3/2 x -15
Therefore, the slope intercept form of the given equation of a line is y= -3/2 x -15.
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Olivia must earn 475 points out of 550 to receive a b in math. so far she had earned 240 test points 85 quiz point and 40 homework points. how many points p must she score on her final exam to earn at least a b in math
Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.
What is addition?Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.
Here, given that,
Olivia must earn 475 points out of 550 to receive a b in math.
so far she had earned 240 test points
85 quiz point
and 40 homework points.
Solution: 240 + 85 + 40 = 365
Now, we get,
475 - 365 = 110
Hence, Answer: Olivia needs 110 points on her final exam in order to earn at least a B in Math.
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how to solve sin(pi/2) without a calculator ...?
By the definition of the functions of trigonometry, the sine of is equal to the -coordinate of the point with polar coordinates , giving . Similarly, , since it is the -coordinate of this point. Filling out the rest trigonometric functions then gives