Answer:
x=-50
Step-by-step explanation:
I used the method of balancing equations:
Add -40x to both sides
-38x+43 + 40x = -40x-57+40x
Simplify:
2x+43 = -57
Subtract 43 from both sides:
2x+43 -43 = -57 -43
Simplify:
2x = -100
Solve for x
2x÷2 = -100÷2
x = -50
Hope this helped and brainliest please
Answer:
Solution of equation ( x ) = -50Step-by-step explanation:
In this question we have given an equation that is -38x + 43 = -40x - 57 . And we have to find the solution of this question that means we have to find the value of x .
So let's start our Solution : -
[tex] \hookrightarrow \: -38x+43=-40x-57 [/tex]
Step 1 : Subtracting 43 on both sides :
[tex] \hookrightarrow \: \: - 38x + \cancel{43} - \cancel{43 }= - 40x - 57 - 43[/tex]
On calculating further , We get :
[tex] \hookrightarrow \: - 38x = - 40x - 100[/tex]
Step 2 : Adding 40x on both sides :
[tex] \hookrightarrow \: - 38x + 40x = - \cancel{40x} - 100 + \cancel{40x}[/tex]
On calculating further , We get :
[tex] \hookrightarrow \:2x = - 100[/tex]
Step 3 : Dividing by 2 on both sides :
[tex] \hookrightarrow \: \frac{ \cancel{2}x}{ \cancel{2} } = \cancel \frac{ - 100}{2} [/tex]
On calculating further , We get :
[tex] \hookrightarrow \: \purple{\boxed{\frak{x = - 50}}}[/tex]
Henceforth , value of x is -50 .Verifying : -
Now we're verifying our answer by substituting value of x in given equation . So ,
-38x + 43 = -40x - 57-38 ( -50 ) + 43 = -40 ( -50 ) - 571900 + 43 = 2000 - 571943 = 1943L.H.S = R.H.S Hence, Verified.Therefore , our solution is valid .
#Keep LearningThree friends decide to rent an apartment and split the cost evenly. they each paid $640 towards the total move in cost of first and last month's rent and a security deposit. if rent is $650 per month, how much was the security deposit? a. $10 b. $207 c. $620 d. $1,270
The total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
What is a monthly payment?The monthly payment is the amount which is required to pay each month to pay off the borrowed principal amount or the rent of a service charged monthly.
The rent of the apartment is $650 per month. The rent for the two months (first and last) is,
[tex]\rm M = 2\times 650\\\\M =1300[/tex]
This rent is paid by three friends. Thus, the amount which is paid by an individual friend is,
[tex]\rm P=\dfrac{1300}{3}\\\\P=433.33[/tex]
They each paid $640 towards the total move-in cost of first and last month's rent and a security deposit. Therefore,
[tex]\rm P=640-433P=206.67\\\\[/tex]
Thus, $206.67 is paid by each of them towards security deposits. The total amount of security deposit, deposited by 3 of them, is,
[tex]\rm SD=206.67\times 3\\\\SD=620.01[/tex]
Hence, the total amount of security deposit, deposited by three friends after paying the rent is $620.01. Option C is the correct option.
Learn more about the monthly payment here;
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Answer:
Option C
Step-by-step explanation:
I got it right on the test
Which term describes the red curve in the figure below?
A. Hyperbola
B. Parabola
C. Ellipse
D. Circle
Answer:
Hyperbola
Step-by-step explanation:
Sorry if incorect
Hope this helps
How to find area in feet
Answer:
The way to calculate a rectangular area is by measuring the length and width of your area then multiplying those two numbers together to get the area in feet squared (ft 2).
Step-by-step explanation:
might be the anwser ion know
Answer:
Area is length x width.
Step-by-step explanation:
Lets say you have a rectangle. The length is 7 feet and the width is 4 feet. 7 x 4 is 28. This is how you find the area.
For triangle xyz , the measures of angles x,y, and Z are known. Which method should be used to start solving triangle xyz?
law of sines
law of cosines
neither law can be used
both laws can be used
The triangle xyz has three sides and three angles
Neither law can be used to solve the triangle
How to determine the appropriate method?From the question, we understand that only the angle measures are given.
The law of sines is represented as:
x/sin(X) = y/sin(Y) = z/sin(Z)
The law of cosine states that:
x^2 = y^2 + z^2 - 2yz cos(X)
The above laws require at least one of the side lengths of the triangles.
Since the side lengths are not given, then none of the laws can be used
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Gina rolls a six-sided die, numbered 1 to 6. She wants to find the probability of
rolling a number less than 6. The size of the sample space is 6, because Gina can
roll any of the six numbers on the die. What is the size of the event space?
The size of the event space is
The solution is
Answer:
5/6
Step-by-step explanation:
thats what it is
how do you find the area of a polygon in a coordinate plane?
Answer: Use this formula
Area = (number of sides × length of one side × apothem)
Step-by-step explanation: The formula to calculate the area of a regular polygon is, Area = (number of sides × length of one side × apothem)/2, where the value of apothem can be calculated using the formula, Apothem = [(length of one side)/{2 ×(tan(180/number of sides))}].
Bob drew a line he thought was close to many of the points and found the equation of the line. He used the points (165, 168) and (174, 178) on his line to find the equation. What is the equation of Bob’s line? If entering decimal values, round to the tenths place.
What does Bob’s equation predict for the height of a person with an arm span of 162 cm? If entering a decimal value, round to the tenths place
We will see that the linear equation is:
y = 1.1*x -13.5
b) The predicted height is 164.7cm
How to get the linear equation?
A general linear equation is:
y = a*x + b
Where a is the slope and b is the y-intercept.
If we know that the line passes through (x₁, y₁) and (x₂, y₂), then we can write the slope as:
a = (y₂ - y₁)/(x₂ - x₁)
In this case, the line passes through (165, 168) and (174, 178), then the slope is:
a = (178 - 168)/(174 - 165) = 10/9 = 1.1
Then the line is:
y = 1.1*x + b
To get the value of b, we use one of the given points, for example if we use the first one (165, 168) we must have x = 165 and y = 168, replacing that we get:
168 = 1.1*165 + b
168 - 1.1*165 = b = -13.5
The equation is:
y = 1.1*x -13.5
Now we want to find the height of a person with an arm span of 162cm, then we replace x by 162 to get:
y = 1.1*162 -13.5 = 164.7
The predicted height is 164.7cm
If you want to learn more about linear equations, you can read:
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What is the solution to 2x2 8x=x2-16? x=-4 x=-2 x=2 x=4
The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.
What is a factorization?It is the method to separate the polynomial into parts and the parts will be in multiplication. And the value of the polynomial at this point will be zero.
The equation is given below.
2x² + 8x = x² - 16
Then on simplifying, we have
x² + 8x + 16 = 0
x² + 4x + 4x + 16 = 0
(x + 4)(x + 4) = 0
(x + 4)² = 0
x = -4
More about the factorization link is given below.
https://brainly.com/question/6810544
Answer:
The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.
Step-by-step explanation:
The State Board of Education has $1,742 to buy new calculators. If each calculator costs $2, how many calculators can the board buy?
Answer:
871
Step-by-step explanation:
The State Board of Education can buy 871 calculators with the available budget.
Here, we have to find out how many calculators the State Board of Education can buy,
We have to divide the total amount they have ($1,742) by the cost of each calculator ($2):
So, we get,
Number of calculators = Total amount / Cost per calculator
Number of calculators = $1,742 / $2
Number of calculators = 871
So, the State Board of Education can buy 871 calculators with the available budget.
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#SPJ3
Last week, Harry ran 5 laps around the lake. Sophia ran 1 5/6 times as many laps around the lake as Harry did. How many laps around the lake did Sophia run?
Answer:
9 1/6 laps
Step-by-step explanation:
1 5/6 * 5 = 11/6 *5 = 55/6 = 9 1/6
For what values of a make each expression true. |a|=-a
Answer:
a=0
Step-by-step explanation:
help me with this
forgot how to do it
Answer:
C =113.04 ft
Step-by-step explanation:
[tex]C = 2\pi \: r \\ \\ \implies C =2(3.14)(18) \\ \\ \implies C =113.04 \: ft[/tex]
9. A car is being tested for reliability on a
track by driving at a constant speed. The
car has traveled 150 miles in 3 hours.
a. Complete the table below.
b. If the car breaks down 4.5 hours into
the test and has to stop for a repair
before continuing, what ratio(s) of
distance to time would be affected?
c. How would you expect the ratio to
change? Explain your reasoning.
Help anyone???
Answer:
Step-by-step explanation:
See attached image.
7. Square numbers, such as 1, 4, 9, etc., can be formed by adding consecutive add made beginning with 1. Which is NOT an example of this fact? 1 + 3 + 5 1 +3 + 5 + 7 1+3 + 5 + 7 +9
Patrick added 1/4 teaspoons of cayenne pepper and 1/3 teaspoons of black
pepper to his enchilada sauce. What is the total amount of the two spices that
Patrick added to his sauce?
The function, f(n) = 70n – 400, models the profit of the instructor of a guitar class per month, where n is
e number of students enrolled in the class.
How many students must be enrolled in the class for the instructor to make a profit?
ow many students must be enrolled in the class if the instructor needs to make $1,000.00 profit per
onth?
Using the given function, it is found that:
6 students need to be enrolled for the instructor to make a profit.20 students must be enrolled for the instructor to make a profit of $1,000 a month.What is the profit function?The profit when n students are enrolled in the class is given by:
f(n) = 70n - 400.
A profit is made when f(n) > 0, hence:
70n - 400 > 0
70n > 400
n > 5.71.
6 students need to be enrolled for the instructor to make a profit.
A profit of $1,000 is made when f(n) = 1000, hence:
70n - 400 = 1000
70n = 1400.
n = 20.
20 students must be enrolled for the instructor to make a profit of $1,000 a month.
More can be learned about functions at https://brainly.com/question/25537936
Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the function:
f(n) = 70n - 400
To make a profit, f(n) > 0, hence:
70n - 400 > 0
n > 6
For a profit of $1000:
70n - 400 = 1000
n= 20
Atleast 6 students must be enrolled to make a profit and 20 student are needed to make $1,000.00 profit per month.
Find out more on equation at: https://brainly.com/question/2972832
(f-g)(x) f(x)=6x-7 g(x)=9x-4
mcgraw hill algebra 1 chapter 8 lesson 1 question 20
Step-by-step explanation with the answer:
Use the given functions to set up and simplify (f−g) & (x) . -3 x -3
The polynomial equation x cubed minus 4 x squared 2 x 10 = x squared minus 5 x minus 3 has complex roots 3 plus-or-minus 2 i. what is the other root? use a graphing calculator and a system of equations. –3 –1 3 10
The negative one is the third root of the equation x³ - 4x² + 2x + 10. Then the correct option is B.
What is polynomial?Polynomial is an algebraic expression that consists of variables and coefficients. Variables are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.
The polynomial equation is given below.
[tex]\rm x ^3-4 x ^2+2 x+ 10 = x ^2 -5 x-3[/tex]
The equation can be written as
[tex]\rm x ^3-5 x ^2+7 x+ 13 = 0[/tex]
The equation has a complex root [tex]- 3 \pm 2 \iota[/tex]
Put x = -1, then we have
[tex]\begin{aligned} (-1) ^3-5 (-1) ^2+7 (-1)+ 13 = 0\\\\-1 - 5 - 7 + 13 = 0\\\\0=0 \end{aligned}[/tex]
The equation is satisfied by the negative one. Then the negative one is the third root of the equation.
More about the polynomial link is given below.
https://brainly.com/question/17822016
Answer:
B on edge
Step-by-step explanation:
because B is -1
HELP PLS!!!! I would appreciate it <333
A circle has a circumference of 26 millimeters. What is the circle's
radius? Use 3.14 for pi and round your answer to the nearest tenth
Answer:
4.1
Step-by-step explanation:
it was right sooo
i need help question below :)
Answer:
8 mins - 5hrs - 8 mins (all of the answers are in order btw).
Classify the number as natural, whole, integer, rational, and/or irrational. select all terms that are correct. natural whole integer rational irrational 4,563 natural – 4,563 whole – 4,563 integer – 4,563 rational – 4,563 irrational – 4,563
The given number 4,563 is a natural, whole, integer, and rational number.
What are the different types of numbers?A number is a fundamental component of mathematics. there are different types of numbers such as whole numbers, integers, natural numbers, rational and irrational numbers, etc.
Whole numbers are numbers such as 0, 1, 2, ... This is a whole number.
Natural numbers can also be counting numbers. They are the whole numbers but starting at 1, not 0.
Integers are whole numbers with negatives. This is an integer.
Rational numbers are any numbers that can be written as a fraction.
We can write this as 4563/1, so it is rational.
Learn more about numbers;
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Simplify the given polynomial expressions as much as possible.
(3x - 6)(8x + 2)
Answer:
Step-by-step explanation:
Remark
All you can really do is remove the brackets. Use FOIL
Solution
First: 3x*8x = 24^2
Outside: 2* 3x = 6x
Inside: -6*8x = - 48x
Last: -6*2 = - 12
Answer
24x^2 + 6x - 48x - 12
24x^2 - 42x - 12
please helppppppp!!!!!!!!!!!!!!!!!!!!!!!!!!!
So here, ABCD is being inscribed in a circle, so ABCD is a cyclic quadrilateral (as inscribed in a circle) also, there exists a property of cyclic quadrilateral, i.e, the sum of opposite angles of a cyclic quadrilateral is 180°, so we can just write the following equation using this :
[tex]{:\implies \quad \sf y^{\circ}+83^{\circ}=180^{\circ}}[/tex]
[tex]{:\implies \quad \sf y^{\circ}=180^{\circ}-83^{\circ}}[/tex]
[tex]{:\implies \quad \sf y^{\circ}=97^{\circ}}[/tex]
[tex]{:\implies \quad \boxed{\bf{y=97}}}[/tex]
help me please need help
missing lengths
Step-by-step explanation:
For example ............
Answer:
4. y=3√2 and x=36
Step-by-step explanation:
Here,
interior angle of triangle = 180°
So, 90°+45°+45°=180°
Therefore, the triangle is isosceles triangle
So,
y=3√2 (the corresponding sides of corresponding angle of isosceles triangle are equal)
Again, x^2=(3√2)^2 + (3√2)^2
or, x= √(18 + 18)
or, x=√36
or, x=6
Q4
Find the diameter of a circle if the length of the arc with subtended angle 175° is 12 cm.
(Use it in your calculator.)
1750
B
Answer:
: L = r * θ = 15 * π/4 =
Step-by-step explanation:
plewse help me i need help!!?
Answer:
A
Step-by-step explanation:
[tex] - \frac{4}{3} \times \frac{4}{1} = - \frac{1}{3} [/tex]
Hope this helps
3. Triangle ABC with AB = 3 cm, LABC = 40°,
=
and Z BAC = 70°.
Construct a triangle with the given conditions
Answer: Right angled triangle
Step-by-step explanation: Find attached in the picture
Use the Distributive Property to solve the equation.
3(x-6)+6=5x-4
what is x?
Answer:
x = -4
Step-by-step explanation:
1) Distribute
3(x - 6) + 6 = 5x - 4
3x - 18 + 6 = 5x - 4
2) Add the numbers
3x - 18 + 6 = 5x - 4
3x - 12 = 5x - 4
3) Add 12 to both sides
3x - 12 = 5x - 4
3x - 12 + 12 = 5x - 4 + 12
4) Simplify
Add The Numbers:
3x - 12 + 12 = 5x - 4 + 12
3x = 5x - 4 + 12
Add the numbers:
3x = 5x - 4 + 12
3x = 5x + 8
5) Subtract 5x from both sides
3x = 5x + 8
3x - 5x = 5x + 8 - 5x
6) Simplify
Combine like terms:
3x - 5x = 5x + 8 - 5x
-2x = 5x + 8 - 5x
Combine like terms:
-2x = 5x + 8 - 8
-2x = 8
7) Divide both sides by each factor
-2x = 8
-2x/-2 = 8/-2
8) Simplify
Cancel terms that are in both the numerator and denominator:
-2x/2 = 8/-2
Divide the numbers:
x = 8/-2
x = -4
Solution:
x = -4
You roll a number cube one time. What is the probability that you roll a 6 or 4? Enter your answer as a fraction in simplest form.
Answer:
1/3 because there are 6 numbers on a number cube and the probability of rolling a 6 or 4 is 2/6 and simplified it would be 1/3
Step-by-step explanation:
if it is right, please mark as brainliest
Find the zeros of the function f(x) = x² + 49.
Answer:
does not have
Step-by-step explanation:
the function will never equals zero. because x² is always a positive number. The minimum is 49.
Answer:
no step-by-step answer
x= 7 and x= -7