The value of x and y in equations 17x - y = 40 and 2x + 4y = 50 are x = 3 and y = 11.
What is equation ?
The definition of an equation in algebra 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.
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.
A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used.
17x - y = 40 ⇒ (1)
2x + 4y = 50 ⇒ (2)
(1)* 4
68x - 4y = 160
Adding equation (1) and (2)
68x - 4y = 160
2x + 4y = 50
⇒ 70 x = 210
x = 3
Substituting the value of x in equation (1)
17*3 - y = 40
51 - y = 40
-y = 40 - 51
-y = -11
y = 11
To learn more about equation from the given link
brainly.com/question/2972832
#SPJ1
Random samples of students at four-year colleges were interviewed several times since . Of the students who reported , the percentage who reported bingeing at least three times within the past two weeks was % of students in and of students in a. Estimate the difference between the proportions in and , and interpret. b. Find the standard error for this difference. Interpret it. c. Define the two relevant population parameters to compare in the context of this exercise. d. Construct and interpret a % confidence interval to estimate the true difference. e. State the assumptions for the confidence interval in part d to be valid.
Answer:
Step-by-step explanation:
Of The Students Who Repo Drinking Alcohol, The Percentage Who Reported Random samples of students at 112 four-year colleges were interviewed who reported bingeing at least three times within the past two weeks was 42.5% of Estimate the difference between the proportions in 2007 and 1998, and interpret.
3004=3
4004=7
5008=4
6006=??
Answer:
5
Step-by-step explanation:
BC is the diameter of the semicircle. The area of rectangle ABCD is 20 and the length of line AB is 5.What is the area of the semicircle?
Answer:
2[tex]\pi[/tex] [tex]units^{2}[/tex]
Step-by-step explanation:
BC is equal to 4 because 5*4=20.
The radius is 2. The equation for the area of a circle is [tex]\pi r^2[/tex].
Therefore, if we plug in 2 we will get [tex]4\pi[/tex].
But then we divide by 2 to get 2[tex]\pi[/tex] [tex]units^{2}[/tex] as our answer.
Hope this helped! :)
The greatest value of 7x would be?
Answer: 70
Step-by-step explanation:
the correct answer is 70
what is the trigonometric ratio for cos n
Answer: 12/13, i think
Step-by-step explanation:
I need this Please help me
9514 1404 393
Answer:
(c) Not parallel: corresponding angles are not congruent
Step-by-step explanation:
The two angles shows are both "east" of the respective points of intersection, so are "corresponding" angles. If (and only if) lines r and s are parallel, corresponding angles are congruent. These angles have different measures, so lines r and s are not parallel.
Now find the sum.What is 3/7 +1/3
Answer: It is 16/21
Step-by-step explanation: Once you find a common denominator just add the top and leave the bottom alone
Answer:
16/21
Step-by-step explanation:
help?
no links and no files please
Answer:
5
Step-by-step explanation:
8235
Solve this inequality for x.
Answer:
A. x ≥ 21[tex]\frac{2}{3}[/tex]
Step-by-step explanation:
81 - 1[tex]\frac{1}{5}[/tex] x ≤ 55
-1[tex]\frac{1}{5}[/tex] x ≤ 55-81
-[tex]\frac{6}{5 }[/tex] x ≤ -26
x ≥ -26(-[tex]\frac{5}{6}[/tex]) **flip the inequality when you divide by a negative number
x ≥ 21[tex]\frac{2}{3}[/tex]
PLEASE someone help
7????
Step-by-step explanation:
I need to know the first and last one
The lines FE and GH are parallel to each orther.
What is congruent of the triangle?
The shapes maintain their equality regardless of how they are turned, flipped, or rotated before being cut out and stacked. We'll see that they'll be placed entirely on top of one another and will superimpose one another. Due to their identical radius and ability to be positioned directly on top of one another, the following circles are considered to be congruent.
Any two figures can be perfectly positioned over one another to demonstrate their congruence. The relationship between two figures that are said to be congruent is described using the word "congruence."
Given that
ΔPEI = ΔGHI
here ∠pie = ∠gih
PI =HI
GI=EI
So both triangles are congruent
So the FE║GH.
Hence the lines FE and GH are parallel to each orther.
Learn more about congruent, by the following link.
https://brainly.com/question/1675117
#SPJ1
Select all equations that have n = 6 as a solution
Answer:
B. n + 6 = 12
C. 4 • 6 = 24
Step-by-step explanation:
Answer:
Hello There!!
Step-by-step explanation:
The answer is b. n+6 and c. 4×n=24.
hope this helps,have a great day!!
~Pinky~
What is the slope of (2,-12), (18,15)
Answer:
Step-by-step explanation:
The slope of a line given two points [tex](x_0,y_0)[/tex] and [tex](x_1,y_1)[/tex] is
[tex]m=\frac{y_1-y_0}{x_1-x_0}=\frac{15-(-12)}{18-2}=\frac{27}{16}[/tex]
If f(x)=2x^3−x^2−16x+15 and f(−3)=0, list all of the zeros from least to greatest
x=
x=
x=
The roots from smallest to greatest are -3, 1, and 5/2 or (2 1/2).
A pizza shop sold 18 medium pizzas. The number of large pizzas sold was 3 times as many as the number of medium pizzas sold. How many pizzas did the pizza shop sell altogether?
Answer:
18 × 3 = 54
18 + 54 = 72
Therefore, the answer is 72.
Hydrocodone bitartrate is used as a cough suppressant. After the drug is fully absorbed, the quantity of drug in the body decreases at a rate proportional to the amount left in the body, with constant of proportionality k. Suppose that the half-life of hydrocodone bitartrate in the body is 3.9 hours, and that the oral dose taken is 9 mg.
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
c) Use the half-life to find the constant of proportionality k.
d) How much of the 9 mg dose is still in the body after 12 hours?
Answer:
a. dQ/dt = -kQ
b. [tex]Q = 9e^{-kt}[/tex]
c. k = 0.178
d. Q = 1.063 mg
Step-by-step explanation:
a) Write a differential equation for the quantity Q of hydrocodone bitartrate in the body at time t, in hours, since the drug was fully absorbed.
Let Q be the quantity of drug left in the body.
Since the rate of decrease of the quantity of drug -dQ/dt is directly proportional to the quantity of drug left, Q then
-dQ/dt ∝ Q
-dQ/dt = kQ
dQ/dt = -kQ
This is the required differential equation.
b) Solve your differential equation, assuming that at the patient has just absorbed the full 9 mg dose of the drug.
with t = 0, Q(0) = 9 mg
dQ/dt = -kQ
separating the variables, we have
dQ/Q = -kdt
Integrating we have
∫dQ/Q = ∫-kdt
㏑Q = -kt + c
[tex]Q = e^{-kt + c}\\Q = e^{-kt}e^{c}\\Q = Ae^{-kt} (A = e^{c})[/tex]
when t = 0, Q = 9
[tex]Q = Ae^{-kt} \\9 = Ae^{-k0}\\9 = Ae^{0}\\9 = A\\A = 9[/tex]
So, [tex]Q = 9e^{-kt}[/tex]
c) Use the half-life to find the constant of proportionality k.
At half-life, Q = 9/2 = 4.5 mg and t = 3.9 hours
So,
[tex]Q = 9e^{-kt}\\4.5 = 9e^{-kX3.9}\\\frac{4.5}{9} = e^{-kX3.9}\\\frac{1}{2} = e^{-3.9k}\\[/tex]
taking natural logarithm of both sides, we have
[tex]ln\frac{1}{2} = ln(e^{-3.9k})\\\\-ln2 = -3.9k\\k = -ln2/-3,9 \\k = -0.693/-3.9\\k = 0.178[/tex]
d) How much of the 9 mg dose is still in the body after 12 hours?
Since k = 0.178,
[tex]Q = 9e^{-0.178t}[/tex]
when t = 12 hours,
[tex]Q = 9e^{-0.178t}\\Q = 9e^{-0.178X12}\\Q = 9e^{-2.136}\\Q = 9 X 0.1181\\Q = 1.063 mg[/tex]
Find the length of AB.
The length of AB in the line segment is 21 units.
How to find the length of a line segment?A line segment is bounded by two distinct points on a line. In other words, a line segment is a part of a line that connects two points which are considered to be its endpoints.
Therefore, let's find the length AB, in the line segment AC.
Hence,
AC = AB + BC
AC = 23
AB = 2x + 7
BC = 3x - 19
Therefore,
23 = 2x + 7 + 3x - 19
23 = 5x - 12
23 + 12 = 5x
35 = 5x
divide both sides by 5
x = 35 / 5
x = 7
Therefore,
AB = 2x + 7 = 2(7) + 7 = 14 + 7 = 21
learn more on line segment here:https://brainly.com/question/9536205
#SPJ1
If m = 2, n = 3 and p = 0; then what is the value of 4mp + 3n
Answer: The answer is 9.
Answer:
9
Step-by-step explanation:
4mp + 3n
Given:
m = 2
n = 3
p = 0
Work:
4mp + 3n
4(2)(0) + 3(3)
0 + 9
9
Steps to solve equation
An equation may have more than one solution.
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.
Calculating the value of the unknown variable while keeping the equation balanced on both sides is the process of solving equations. A condition on a variable is an equation when it ensures that two expressions in the variable have the same value. The variable's value for which the equation holds true is referred to as the equation's solution. If the LHS and RHS are switched, an equation doesn't change. The solution is discovered after isolating the variable for which the value must be determined. Depending on the kind of equation we are dealing with, we can solve it. There are various types of equations, including linear, quadratic, rational, and radical ones.
Steps to solve a linear equation:
1. If necessary, remove the parentheses and use the distributive property.
2. By merging like terms, make both sides of the equation simpler.
3. The LCD (least common denominator) of all the fractions should be multiplied by both sides of the equation if there are any fractions.
4. If the equation contains decimals, multiply both sides by the lowest power of 10 to make the result a whole number.
5. Using the addition and subtraction properties of equality, move the constant terms to the other side of the equation and the variable terms to the other.
6. Using the equality properties of multiplication or division, set the variable's coefficient to 1.
7. Get the answer by isolating the variable.
To learn more about the solution of an equation, click on the below link:
https://brainly.com/question/30066982
#SPJ1
Negative 9x plus 1 = negative 80
Answer:
x = 9
Step-by-step explanation:
first, you would subtract 1 from 80 and get -9x = -81 then you can just divide -81 by -9 or 9 from 81, either way, you'll have x = 9
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\boxed{x=9}[/tex]
»»————- ★ ————-««
Here’s why:
We would have to use inverse operations to solve the equation.⸻⸻⸻⸻
[tex]\boxed{\text{Solving the Equation for 'x':}}\\\\-9x+1=-80\\---------\\\rightarrow -9x+1-1=-80-1\\\\\rightarrow -9x=-81\\\\\rightarrow\frac{-9x=-81}{-9}\\\\\rightarrow \boxed{x=9}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
y to the -3 power
pls help!!!!!!!!!
Answer:
any number goes down 3 places
Step-by-step explanation:
EX:10 to the power of -3 = 0.001
-3x-6+(-1)
i will give brainliest !
Answer:
-3x-7
Step-by-step explanation:
Let's simplify step-by-step.
−3x−6−1
=−3x+−6+−1
Combine Like Terms:
=−3x+−6+−1
=(−3x)+(−6+−1)
=−3x+−7
Answer:
=−3x−7
Ignore the blue dots they are wrong
Answer:
1. true
2. false
3. false
4. true
Help please look at picture no links!!
Answer:
66
Step-by-step explanation:
[tex]1)\ \frac{28.9}{3.14} = 9.2[/tex]
[tex]2)\ \frac{9.2}{2} = 4.6[/tex]
[tex]3)\ 4.6^2 * 3.14 = 21.16 * 3.14 = 66.4[/tex]
Does anyone know how to solve this?
Answer:
The right answer is C ( π/2)
Which expression is equivalent to -51 - (-60)−51−(−60)minus, 51, minus, left parenthesis, minus, 60, right parenthesis?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
-60+(-51)−60+(−51)minus, 60, plus, left parenthesis, minus, 51, right parenthesis
(Choice B)
B
60+5160+5160, plus, 51
(Choice C)
C
51-6051−6051, minus, 60
(Choice D)
D
-51+60−51+60minus, 51, plus, 60
Answer:
it's B.
Step-by-step explanation:
Answer:
its c
Step-by-step explanation:
What is the value of x?
sin49°=cosx
Restrictions must be indicated for rational functions involving a denominator because__________
is not defined
Answer:
rational expressions
hope I helped! :)
Pls help me, if you get it right I will give you Brainlist!
Its 336 sorry if I'm wrong
By which number 4704 must be divided so as to obtain a perfect square
Answer:
6 the last one
Step-by-step explanation:
4704/6=784
784 squared is 28
making it a perfect square unlike the rest which have excess numbers after the decimal
Answer:
6
Step-by-step explanation:
WHEN YOU DIVIDE 4704 BY 6 YOU GET 784
IN ORDER TO GE THE PERFECT SQUARE YOU HAVE TO FIND THE LCM O 4704