[tex]\left\{\begin{matrix}x=4\\y=10\\\end{matrix}\right.[/tex]
Step-by-step explanation:Solve the equation[tex]\left\{\begin{matrix}-5x+y=-10\\-4x-y=-26\\\end{matrix}\right.[/tex]
_____________________________________
Add the two equations[tex]-5x+y+(-4x-y)=-10+(-26)[/tex]
____________________________
Remove parentheses[tex]-5x+y-4x-y=-10-26[/tex]
_________________________________________________
Cancel one variable[tex]-5x-4x=-10-26[/tex]
___________________________________________
Combine like terms[tex]-9x=-10-26[/tex]
______________________________________________
Calculate the sum or difference[tex]-9x=-36[/tex]
________________________________________________
Divide both sides of the equation by the coefficient of variable
[tex]x=\frac{-36}{-9}[/tex]
____________________________________________________
Determine the sign for multiplication or division
[tex]x=\frac{36}{9}[/tex]
_________________________________________
Cross out the common factor
[tex]x=4[/tex]
_____________________________________________Step-by-step explanation:Substitute into one of the equations[tex]-4\times4-y=-26[/tex]
____________________________________________________
Calculate the product or quotient
[tex]-16-y=-26[/tex]
______________________________________________________
Rearrange variables to the left side of the equation
[tex]-y=-26+16[/tex]
_____________________________________________
Calculate the sum or difference
[tex]-y=-10[/tex]
_________________________________________-
Divide both sides of the equation by the coefficient of variable
[tex]y=10[/tex]
I hope this helps you
:)
If AC= 8x-14 and EC = 2x + 11, solve for x.
Step-by-step explanation:
AC= 8x-14
AC+14=8x
x=(AC+14)÷8
EC=2x+11
EC-11=2x
x=(EC-11)÷2
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Step-by-step explanation:
What number is one-eighth of three hundred and sixty?
Answer:
45
Step-by-step explanation:
Have a great day!
#EquestrianLion
100 POINTS! ! !
Exploiting will be reported.
Chase deposits $6,604.80 into a savings account that pays a simple annual interest rate of 3.22%. How much interest will he earn after 4 years?
SHOW WORK and will give brainlist.
Answer:
$850.69824
Step-by-step explanation:
simple interest formula : (principal * rate of interest * time)/100(6,604.80 * 3.22 * 4)/100$850.69824Answer:
$850.70 (nearest cent)
Step-by-step explanation:
Simple interest formula: A = P(1 + rt)
where:
A = final amountP = principal (initial balance)r = annual interest rate (in decimal form)t = time (in years)Given:
P = $6,604.80r = 3.22% = 0.0322t = 4 yearsSubstituting given values into the formula, and solving to find A:
⇒ A = 6604.8(1 + 0.0322 · 4)
= 6604.8(1.1288)
= $7455.50 (nearest cent)
Therefore, to find the amount of interest earned, subtract the principal from the final amount:
⇒ I = A - P
= 7455.50 - 6604.80
= $850.70 (nearest cent)
Find three points that lie on the circle
Answer:
Use (a-b)2 formula that is a2-2ab+B2
I think it will help you
Suposse X=a
y= B
And then use formula
Help please if ur good at math
Part (a)
[tex]\int\limits^6_0 {f(x)} \, dx =\int\limits^3_0 {f(x)} \, dx +\int\limits^6_3 {f(x)} \, dx =8+(-7) = 1[/tex]
Part (b)
[tex]\int\limits^3_6 {f(x)} \, dx =-\int\limits^6_3 {f(x)} \, dx =-(-7) = 7\\[/tex]
Part (c)
[tex]\int\limits^3_3 {f(x)} \, dx =0[/tex]
Part (d)
[tex]\int\limits^6_3 {-5f(x)} \, dx =-5* \int\limits^6_3 {f(x)} \, dx=-5 * -7 =35[/tex]
Hope that helps!
z varies jointly with x and y. If x = 2, y = 3, and z = 4, write the variation equation and find z when x = −6 and y = 2.
Step-by-step explanation:
that means
z = k×x×y
4 = k×2×3 = k×6
k = 4/6 = 2/3
so, when x = -6 and y = 2, we get
z = 2/3 × -6 × 2 = 2 × -2 × 2 = -8
As you move to the
on a number line the values of the numbers
Which choice best completes the sentence?
right; increase
right; decrease
left; increase
left; remain the same
Help please I’m stuck on this question!
Answer:
Based on the argument behind the correctness of the assumption is impossible, so we rule that the assumption is correct, now is the answer
The second answer from above
2. Evaluate the function rule for the given value. y = 4.2 for x = -6
which of the following steps were applied to ABCD to obtain A'B'C'D'?
A. shifted 3 units left and 2 units up
B. shifted 2 units left and 4 units up
C. shifted 2 units left and 3 units up
D. shifted 3 units left and 4 units up
Answer:
A. shifted 3 units left and 2 units up
Answer:
shifted 3 units left and 2 units up
Find the value of y and z
[tex]\qquad\qquad\huge\underline{{\sf Answer}} \huge♨[/tex]
In the given figure, NQ acts as a diameter and since diameter subtends 90° at the arc of the circle, so we can conclude that ~
[tex]\qquad \sf \dashrightarrow \:3y = 90 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 90 \degree \div 3[/tex]
[tex]\qquad \sf \dashrightarrow \:y = 30 \degree [/tex]
Now, Let's use Angle sum property of Triangle to solve for z :
[tex]\qquad \sf \dashrightarrow \:4z + 3y + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z +90 \degree + 50 \degree = 180 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (50 \degree + 90\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 180 \degree - (140\degree)[/tex]
[tex]\qquad \sf \dashrightarrow \:4z = 40 \degree[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 40 \degree \div 4[/tex]
[tex]\qquad \sf \dashrightarrow \:z = 10 \degree [/tex]
I hope you understood the procedure, you can ask me in comments if you have any doubts.
If Mrs.davis serves each guest 1/6 of a pie what is the greatest number of guests she can serve
there are 45 marbles in a blue jar. the blue jar has 9 times as many marbles as a red jar. let m be the number of marbles in the red jar.
Write an equation that relates the number of marbles in the two jars. Use 9, m, and 45
Answer:
9m = 45
Step-by-step explanation:
if the blue jar has 9 times as many marbles as the red jar (which is 45 marbles), then that means that:
9m = 45
where m is the number of marbles in the red jar.
what is the slope of 5x-4y=3
Answer:
5/4
Step-by-step explanation:
Hi there!
We are given the line 5x-4y=3, and we want to find the slope of it.
The line is currently in standard form (ax+by=c); one way to find the slope of the line is to convert it into slope-intercept form (y=mx+b)
To do that, we need to isolate y on one side (in other words, we need to solve the equation for y)
First, subtract 5x from both sides
5x-4y=3
-5x -5x
____________
-4y = -5x + 3
Divide both sides by -4
[tex]y=\frac{5}{4} x - \frac{3}{4}[/tex]
In slope intercept form, m represents the slope; in this problem, 5/4 takes the place of where m should be, meaning 5/4 is the slope.
Hope this helps!
See more on this topic here: https://brainly.com/question/18929849
Write an equation for the graph in terms for x
Y=
Observations of the center of the Milky Way show the presence of a super massive black hole with a mass of 4.6 x 106 solar masses. Compute the Schwarzschild radius of this supermassive black hole. Give your answer in units of astronomical units (AU). At what distance does Mercury orbit from the Sun in AU? If we swapped out the Sun for this super massive black hole, would the event horizon extend beyond the orbit of Mercury? Be sure to show your calculations. 1 AU = 1.5 x 108 km.
The Schwarzschild radius of the black hole depends on its mass
The Schwarzschild radius of this supermassive black holeis 0.091 AU
How to determine the Schwarzschild radius?The Schwarzschild radius (r) is calculated using:
[tex]r_s = \frac{2GM}{c^2}[/tex]
Where:
G = Gravitational constant = 6.67408 × 10-11 m3 kg-1 s-2
M = Mass of the object = 4.6 x 10^6 solar masses
c = Speed of light = 299792458 m / s
Express the mass in Kg
M = 4.6 x 10^6 * 9.2 * 10^18 = 9.15 * 10^36 kg
Substitute the above values in the equation
[tex]r_s = \frac{2 * 6.67408 * 10^{-11} * 9.15 * 10^36}{299792458 ^2}[/tex]
Evaluate the expression
[tex]r_s = 13589425339.6[/tex] m
Express as km
[tex]r_s = 13589425.3396[/tex] km
Expressas AU
[tex]r_s = \frac{13589425.3396}{1.5 * 10^8}[/tex]
Evaluate the quotient
[tex]r_s = 0.09059616893[/tex]
Approximate
[tex]r_s = 0.091\ AU[/tex]
Hence, the Schwarzschild radius of this supermassive black holeis 0.091 AU
Read more about gravitational radius at:
https://brainly.com/question/4208016
Suppose we want to choose 7 letters, without replacement, from 12 distinct letters. (a) How many ways can this be done, if the order of the choices is not relevant?
Answer:
3991680 or 792
Step-by-step explanation:
12P7 = 3991680
or
12C7 = 792
P = permutation
C = combination
Sorry, I am not sure which answer is correct or if any of the answers are correct.
The grandma of a 6-year-old is asking them 2x3 what is 2x3
Answer:
The answer of 2 x 3 would be 6
Step-by-step explanation:
The reason why 2 x 3 or 2 times 3 would be six/6. Is because if you had 2 pairs of 3 items, you would get a total of 6 items. And if you had 3 pairs of 2 items, you would still have a total of 6 items.
Simplify the expression. Enter the answer in the box. 5 1/6 - 7 1/3
Answer:
-15.6666667
Step-by-step explanation:
first of all divide both side then minus the divide number
Use Demos Graphing Calculator
Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising
horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can
work no more than 12 hours per week. However, he must make at least $60 per
week.
Which of the following is a possible solution for this system of inequalities?
A. 1 hour exercising and 1 hour cleaning
B. Two hours exercising and five hours of cleaning
C. Seven hours of exercising and eight hours of cleaning
D. Two hours exercising and eight hours cleaning
Answer:
D. Two hours exercising and eight hours cleaning
Step-by-step explanation:
Rob works part time at the Fallbrook Riding Stable. He makes $5 an hour exercising horses and $10 an hour cleaning stalls. Because Rob is a full-time student, he can work no more than 12 hours per week. However, he must make at least $60 per week.
x = hrs. exercising horses
y = hrs. cleaning stalls
Equations:
Hours he can work per week:
x + y ≤ 12
Amount of money he can make per week:
5x + 10y ≥ 60
Now, graph your equations into desmos.
As you can see in the graph, the correct answer is D (2, 8)
Check your answer by hand:
x + y ≤ 12
2 + 8 ≤ 12
10 ≤ 12
This statement is correct
5x + 10y ≥ 60
5(2) + 10(8) ≥ 60
10 + 80 ≥ 60
90 ≥ 60
This statement is correct
Therefore, the correct answer is D
Hope this helps!
Trigonometric Equations
Solve the equation over the interval [0°, 360°)
cos(theta) = -1/2
Answer:
[tex]\frac{2\pi }{3};\frac{4\pi }{3}.[/tex]
Step-by-step explanation:
1) cos(θ)=-0.5;
theta=±2π/3+2πn, where n∈Z;
2) if θ∈[0;360], then
[tex]\theta=\frac{2\pi }{3}; \frac{4\pi }{3}.[/tex]
find x and y. use proper postulates or theorems to justify your answer
Answer:
x = 110
y = 23
Step-by-step explanation:
For X :
100 = x -10
110 = x
Corresponding angles are equal
For Y :
180 - 110 = 70
(2y + 24) = 70
2y = 46
y = 23
Adjacent Angles on a straight line add up to 180 Degrees
Give an example of a well-stated research question that involves estimating a characteristic about the population of part-time students at your college.
Improve the following research question so that it is a well stated research question. Research Question: Do students work a lot of hours?
Answer:
1) what is the number of male part time students between the ages 15 - 19 years?
2) do students work more than 4 hours a day?
If 12%of X is 306, what is X equivalent to?
Answer:
X = 2550
Step-by-step explanation:
Convert 12% to a decimal:
⇒ 12% = 12/100 = 0.12
12% of X is 306
⇒ 0.12X = 306
⇒ X = 306 ÷ 0.12
⇒ X = 2550
Answer:
2550
Step-by-step explanation:
Given expression: 12% of x is 306
We can make the following points of the expression:
1. The word "of" means multiplication (×).
⇒ 12% × x is 3062. The percent is always divided by 100 in fraction.
⇒ 12/100 × x is 3063. The word "is" means equal or equivalent.
⇒ 12/100 × x = 306Now, let's simplify the expression.
⇒ 12x/100 = 306
⇒ 12x = 306 × 100
⇒ 12x/12 = 306 × 100/12
⇒ x = 51 × 50 = 2550
What is the slope of the line defined by the equation y = 5x + 3?
A) 3/5
B) 5/3
C) 3
D) 5
Answer:
D) 5
Step-by-step explanation:
5 is the rise. x or 1 is the run. (0,3) is the start location.
What are the possible transformations that could have been used to create the red figure from the blue figure ABCD?
Answer:
I believe you are correct in saying the option you are clicked on, B.
Step-by-step explanation:
it would make the most sense
When a constant force acts
upon an object, the acceleration of the object varies Inversely with Its mass. When a certain constant force acts upon an object witt
mass 5 kg, the acceleration of the object Is 15 m/s-
If the same force acts upon another object whose mass is 3 kg, what is this object's acceleration?
Answer:
25
Step-by-step explanation:
First expression: A= k/M
when A = 15 and M = 5, k = A×M = 75
therefore, when M = 4, A = 75/3 = 25
Find the greatest possible number of consecutive zeros at the end of the product of three positive integers if the sum of these three integers equals 939.
Answer:
I think its 5 consecutive zeros.
Step-by-step explanation:
This would be a guess but I think you would need two numbers in the hundreds that also have 2 parts of which have a product of a number ending in 0, like 4 and 5.
So my guess would be
400 * 500 * 39
= 7800000
Please help
I don’t know what to do with this
Answer:
The prediction should be 5 via interpolation.
Step-by-step explanation:
Based on the values you have, the linear equation is f(x)=x-1. So replace x with the number you're looking for (6).
In a general sense, to extrapolate is to infer something that is not explicitly stated from existing information. Interpolation is an estimation of a value within two known values in a sequence of values.
Can somebody please help me
Answer: C
Step-by-step explanation:
This is just a straight definition - for a normal distribution, the percent within 2 standard deviations of the mean is about 95.44%.
what is the area of the figure?
Answer:
182 m
Step-by-step explanation:
The shape is a trapezoid. The area of the trapezoid formula is [tex]\frac{a + b}{2}h[/tex].
The two bases (AKA a and b) are 8 + 18.
The height is 14.
[tex]\frac{18+8}{2} 14[/tex], Add 18 + 8
[tex]\frac{26}{2}14[/tex], Divide 26 by 2
[tex]13 *14[/tex], 182