Answer:
54
Step-by-step explanation:
3x -(7-x) = 29 remove the parens
3x - 7 + x = 29 simplify
4x -7 = 29 add 7 to both sides of the equation
4x = 36 divide by
x = 9
then 6x = 6 * 9 = 54
Answer:
54
Step-by-step explanation:
3x -(7-x) = 29
3x - 7 + x = 29
4x -7 = 29
4x = 36
x = 9
6x = 6 x 9
6 x 9 = 54
Three 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.
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Answer:
Option C
Step-by-step explanation:
I got it right on the test
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
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.
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
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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
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
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]
i need help question below :)
Answer:
8 mins - 5hrs - 8 mins (all of the answers are in order btw).
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
What is the area of triangle XYZ to the nearest tenth of a square inch? Use special right triangles to help find
the height
Y
28 in
60
X
z
Answer:
Area = 169.7 in^2
Step-by-step explanation:
The two given angles are 90 and 60 degrees. Since a triangle's angles always add to 180 degrees, the third angle is 30 degrees. The is known as a "30-60-90 triangle." It is a special right triangle that has side length values which are always in the same relationship with one another.
The sides of the 30-60-90 triangle ratio are:
Side opposite the 30° angle is x
Side opposite the 60° angle is x*√3
Side opposite the 90° angle is 2x
See attached image for the detail on the calculations.
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
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
(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
Picture below need help a lot of points
Answer:
rp=20 :: pp=90
Step-by-step explanation:
Well, if it's 10% off then we know that the percent paid is 90%
Now, 18 is 90% of 20, so the regular price is $20
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.
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Answer:
B on edge
Step-by-step explanation:
because B is -1
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?
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]
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:
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.
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.
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Answer:
The solution of the quadratic equation 2x² + 8x = x² - 16 is given as a negative of 4.
Step-by-step explanation:
If a cat had 2345 dogs and a dog had 387241 cats and dived by 7 and into percent how many did they have al together?
Answer:
389586
Step-by-step explanation:
2345 +387241= 389586
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
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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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
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))}].
Out of every 8 seeds Natalie planted, only 5 grew into flowers. If there are 45 flowers, how many seeds did not grow?
Please show the steps, thank you
Answer:
27
Step-by-step explanation:
here we remark that we have a proportional relationship Between the number of seeds and the number of flowers
Let x be the number of seeds we need in order to guarantee that 45 flowers grow.
8 seeds ————————-> 5 flowers
x seeds ————————-> 45 flowers
in order to find x ,We have to solve this equation :
[tex]\frac{x}{8}=\frac{45}{5}[/tex]
⇔ x/8 = 9
⇔ x = 8×9 = 72
“how many seeds did not grow” : 72 - 45 = 27
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
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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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
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.
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