The solution is x = -2 and y = -6.
What are linear equations?First-order equations are linear equations. The coordinate system defines the linear equations for lines. A linear equation in one variable is one in which there is only one variable and the equation has a homogeneous variable of degree 1. There can be more than one variable in a linear equation. When there are two variables in a linear equation, it is referred to as a "linear equation with two variables" and so on.
Given equations 11x + 4y = -46
and 7x - 4y = 10
add both equations
11x + 4y + 7x - 4y = -46 + 10
18x = -36
x = -36/18
x = -2
substitute the value of x in equation
11x + 4y = -46
11(-2) + 4y = -46
4y = -46 + 22
4y = -24
y = -6
Hence the solution for given equations is x = -2 and y = -6.
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Please help to solve... Need steps
60,000 is ten times as much as
Two trucks leave from the same truck stop at the same time. One travels east on interstae 80 and the other travels west. The eastbound truck averages 40 miles per hour, and the westbound truck averages 50 miles per hour. In how many hours will the trucks be 300 miles apart?
Answer:
About 3 hours
Step-by-step explanation:
Imagine one truck going West and the other East. One is going 50 miles per hour and the other is going 40 miles per hour. Because you need to use the equation 50x+40x=300. You should get x = 3.3.
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees celcius. After 1 hour, the temperature is t^2 degrees celcius. If the temperature after 1 hour is 81 degrees celcius, what are two possible original temperatures? What is the difference between the possible original temperatures?
The two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
What is a quadratic equation?Any equation of the form [tex]\rm ax^2+bx+c=0[/tex] where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
[tex]\rm x = \dfrac{-b \pm\sqrt{b^2-4ac}}{2a}[/tex]
It is given that:
A scientist finds the temperature of a sample at the beginning of an experiment is t degrees Celcius.
After 1 hour, the temperature is t² degrees Celcius. If the temperature after 1 hour is 81 degrees Celcius.
From the question:
t² = 81
Taking square root on both sides:
t = ±√81
t = ±9
t = 9 degrees Celcius
Or
t = -9 degrees Celcius
The difference between the temperature = (9) - (-9) = 18 degrees Celcius
Thus, the two possible original temperatures are 9 and - 9 degrees Celcius and the difference between the temperature is 18 degrees Celcius.
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An acute angle θ is in a right triangle with sin θ = seven eighths. What is the value of cot θ?
ANSWERS
square root of fifteen divided by eight
eight divided by the square root of fifteen
seven divided by the square root of fifteen
square root of fifteen divided by seven
Which expressions are equivalent to 3(x + 3y + 2x − y)?
There is a 70% chance of rain tomorrow and a 20% chance that the volleyball game will be postponed. What is the probability that it will rain tomorrow and the volleyball game will be postponed?
0.20/0.70 = 0.2857
28.6% chance
round the answer as needed.
I believe it is 14%
because 20% = 0.2 and 70% = 0.7
then 0.2 * 0.7 = 0.14
0.14 = 14%
14% is answer srry if wrong
Which equation represents an exponential function with an initial value of 500
PLEASE ANSWER ALL PARTS I WILL GIVE BRAINLIEST
Julian compared numbers with similar digits. Using mathematical language, explain how each set of numbers is different
SET A: 13.542 AND 35.42
SET B: 781 AND 78.1
SET C: 1.2 AND 01.20
Video DVDs (ignoring the hole in the middle) have an area of 36π cm^2 The formula to calculate the circumference, C, for a circle is c=2√Aπ, where A is the area of the circle. What is the circumference of the disc?
12πcrr
18πcrr
24πcrr
30πcrr
Final answer:
The circumference of a DVD with an area of 36π cm^2 is 12π cm.
Explanation:
The question asks for the circumference of a DVD with an area of 36π cm2. The circumference C of a circle is related to its area A by the formula C = 2√(Aπ). In this case, we need to substitute the given area of the disc into the formula to calculate the circumference.
First, we'll start by plugging in the area into the formula:
C = 2 √(36π π)
C = 2 √(36)√(π)√(π)
C = 2 × 6 × π
C = 12π
Therefore, the circumference of the disc is 12π cm.
What's 2 ways to write 100203
The center of an ellipse is located at (0, 0). One focus is located at (12, 0), and one directrix is at x = 14 1/12.
what is the equation that represents the ellipse?????????
The equation that represents the ellipse with the given coordinates of the center, one focus, and one directrix is x^2/144 + y^2/(25/12) = 1.
Explanation:The equation that represents the ellipse with the center at (0, 0), one focus at (12, 0), and one directrix at x = 14 1/12 can be found using the standard form of the equation for an ellipse:
(x - h)^2/a^2 + (y - k)^2/b^2 = 1
where (h, k) is the center of the ellipse, a is the distance from the center to the vertices, and b is the distance from the center to the co-vertices.
Since the center is at (0, 0), the equation becomes:
x^2/a^2 + y^2/b^2 = 1
The distance from the center to one focus is 12, so the value of a is 12. To find the value of b, we need to use the distance from the focus to the directrix. Since the directrix is x = 14 1/12, the distance from the focus to the directrix is |14 1/12 - 12|. Simplifying, we get |14 1/12 - 12| = 2 1/12. Therefore, the value of b is 2 1/12.
Substituting these values into the equation, we get:
x^2/144 + y^2/(25/12) = 1
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Carlos can print a document on apricot printer which the speed is 8 in 4.5 minutes how long would it take him to print the same document on a sure-fire printer which the speed is 12
What is the prime factorization of 162?
Find the area of the parallelogram shown.
35 yd 2
24 yd 2
26 yd 2
40 yd 2
area = base x height
base = 5
and height = 7
so area = 7*5 =35 square yards
What is the place value of 8 in 0.829
On a test hailey answered 64 out of 75 questions correctly. What percent of her answers
Were correct?
Answer:
[tex]\bold{85\frac13\,\%}[/tex]
Step-by-step explanation:
[tex]\dfrac{64}{75}\cdot100\,\%=\dfrac{64}{3}\cdot4\,\%=\dfrac{256}{3}\,\%=85\frac13\,\%[/tex]
How many tenths are equal to 4/5 mile using a diagram
Cat breeders often mate cats that have special traits that they will pass on to offspring. This is an example of
What is the ANWSER to the question ? Thank you
Translate the sentence into an inequality.
Three subtracted from b is less than or equal to −17.
I need help with this.
HELP??
A scatter plot is shown below
Which two ordered pairs can be joined to draw most accurately the line of best fit on this scatter plot?
(4, 9.5) and (10, 5.5)
(5, 0) and (10, 10)
(0, 6) and (5, 0)
(0, 9.5) and (10, 1.5)
Answer: The correct answer is D!
Step-by-step explanation:
In my block of 100 flats a painter is kept employed by painting one flat each month from January to November. The flats are painted in the same order and he takes a holiday every December. If my flat was last painted in August 2010 when will it be next painted?
January to November == 11 months.
11 flats are painted every year.
100 flats / 11 flats per year = 9 years + 1 month
the next time it will be painted is September 2019.
Answer:
The answer is September 2019.
Step-by-step explanation:
In order to determine the date of the painting flat, we have to know how the painter works.
Every year, the painter paints 11 flats, because he paints one flat each month and he doesn't work in December.
Also, if we consider that "my flat" is currently in the first position, we have to wait until the painter paints the 100 position because the painter has to paint 99 flats more.
So, "my flat was painted in August 2010", then the painter paints 3 flats more that year (September, October, November).
Now we add more painted flats every year:
3+11+11+11+11+11+11+11+11=91
At beginning of 2019, the painter has painted 91 flats. So in 9 months later, the painter will be paint the 100 position, that is in September 2019.
Finally "my flat" will be painted in September 2019.
Which of these is the algebraic expression for "3 times the sum of 2 and y?"
3(2 + y)
3 ⋅ 2 + y
2 + 3 ⋅ y
2(3 + y)
best answer gets BRAINIEST!!!!
use the numbers 2,3,5, and 8 to write an expression that has a value of -1
What is an expression that is equal to 12m+12n
help me please. I don't know how to do this. so can you take me step by step if possible.
If f(x)= -x²+3x+5, find f(-3), f(0), f(2), f(5), and f(8).
a person or company that allows others to borrow money is called
Answer:
ummm its called a lender since that person is "lending" you something
Step-by-step explanation:
A person or company that allows others to borrow money is called a "lender".
What is a Lender?A lender is a person, a group (public or private), or a financial organization that makes cash accessible to a person or business with the expectation of repayment. Payment of any interest or fees will be included in the repayment.
Repayment might take place in installments (such as a monthly mortgage payment) or as a flat amount. A mortgage is one of the largest loans that individuals obtain from lenders.
The loan duration varies depending on the type of debt. While some loans are for 1-2 years, the majority are for 6-12 months.
Thus, a person or company that allows others to borrow money is called a "lender".
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