The first step we'll make is subtraction property of equality and we choose this property to separate the variables and contsnts.
What are the properties of equality?Facts regarding any two or more quantities connected by the equal sign are known as properties of equality.
There are four types of properties of equality.
Addition property, when two equal quantities are increased by a common value, the equality is preserved.
Transitive property of equality, entities that are equivalent to one another are also equivalent to one another.
Subtraction property, equality is maintained when a common term is subtracted from two equal terms.
Multiplying by a common term do not alter the equality, according to the multiplication property of equality.
Given, An equation 3x + 2 - x = 11x + 9.
The first step would be subraction property of equality.
We'll subtract 2 from each side of the equation.
3x + 2 - x - 2 = 11x + 9 - 2.
3x - x = 11x + 7.
We choose subraction property of equality to separate the vriables and the constants.
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Which expression is equivalent to 2cos2(StartFraction x Over 2 EndFraction) minus cosine (x)?
0
1
1 – 2cos(x)
1 + 2cos(x)
The expression is equivalent to 1
What is Trigonometry?Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.
Given:
2cos²(x/2) - cos(x)
We know
cos x= 2cos²(x/2) + 1
2cos²(x/2) = cos x +1
Then,
2cos²(x/2) - cos(x)
= cos x +1 - cos x
=1
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Answer: B.1
Step-by-step explanation:
I did it on edge
Solve the system of linear equations by multiplying.
{−2x + 2y =4
{−4x + 8y =24
Answer:
The solution set is (2,4).
Step-by-step explanation:
Given that:
−2x + 2y =4 Eqn 1
−4x + 8y =24 Eqn 2
Multiplying Eqn 1 by -2
-2(-2x+2y=4)
4x-4y= -8 Eqn 3
Adding Eqn 2 and 3
(-4x+8y)+(4x-4y)=24-8
-4x+8y+4x-4y=16
4y=16
Dividing both sides by 4
[tex]\frac{4y}{4}=\frac{16}{4}\\y=4[/tex]
Putting y=4 in Eqn 1
-2x+2(4)=4
-2x+8=4
-2x=4-8
-2x=-4
Dividing both sides by -2
[tex]\frac{-2x}{-2}=\frac{-4}{-2}\\x=2[/tex]
Hence,
The solution set is (2,4).
Maeve has 40 cups of apple juice. She uses 5/8 of the juice to make punch. She then uses the remaining juice to pour single servings that are 1/5 cup each. How many single servings does Mandy pour?
Answer:
75 single servings
Step-by-step explanation:
First multiply
40*5/8
You’ll get 25
now 40-25=15
Using 15
15 divided by 1/5
15÷1/5
keep change flip
15*5
75
Answer:
75 servings
Step-by-step explanation:
1. Form an equation
As per the given information;
- starts with 40 cups of juice
- uses 5/8 of the juice
-Splits the remaining serving amongst people, giving each person (1/5) of a cup
Hence the equation is;
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
2. Solve the equation
(40 - [tex]\frac{5}{8}[/tex](40)) ÷ [tex]\frac{1}{5}[/tex]
Simplify;
(40 - 25) ÷ [tex]\frac{1}{5}[/tex]
Dividing by a fraction is the same as multiplying by the fraction's reciprocal;
(40 - 25) * 5
Follow the order of operations, remember the order of operations are;
1. parenthesis
2. exponents
3. multiplication, division
4. addition, subtraction
Parenthsis first
(40 - 25) * 5
15 * 5
Multiply next
15 * 5
75
You cell phone bill is $19.95 a month and $0.30 per text message. Your bill for last month was $94.95. How many text messages did you send or receive?
Answer:
Step-by-step explanation:
94.95-19.95= 74.00
74.00/ 0.30 = about 246 text messages
Answer:
250Step-by-step explanation:
Let the number of text messages be x.
We have following equation as per given:
19.95 + 0.30x = 94.950.30x = 94.95 - 19.950.30x = 75x = 75/0.30x =250Answer: 250 text messages
The main rotor of a helicopter is spinning at a
constant rate. The rotor makes 80 revolutions every
12 seconds. At what rate, in revolutions per minute.
is the rotor spinning?
Answer:6.7
Step-by-step explanation: Just divide 80 by 12 you get 6.6 so round up
Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.
The number of small candles sold is represented by x and the number of large candles sold is represented by y.
What is the maximum revenue she can make?
$448
$512
$576
$588
Answer:
The answer is 576
Answer: 512
Step-by-step explanation:
Rewrite the division problem as multiplication:
Answer:
What is the problem??? If you didn't need an actual problem solved I said how to do it.
Step-by-step explanation:
You rewrite the division question as a multiplication question by flipping the second fraction over. Next, keep the first number, change the division to multiplication and then flip the second fraction over.
I hope this helps UwU
factor the expression using the GCF 8x+20y= ( x+ y)
9514 1404 393
Answer:
4(2x +5y)
Step-by-step explanation:
The variables x and y have no common factors. The coefficients 8 and 20 have a common factor of 4. So, the expression can be written ...
4(2x +5y)
A square root function has a domain of x > 5 and a range of y > 7. What is the range of its inverse?
Answer: C
Step-by-step explanation: just did the quiz
Using function concepts, it is found that the range of the inverse function is:
[tex]y \geq 5[/tex]
The range of a function is the data-set that contains all possible values the function can assume, that is, the values of y.In the inverse function, the inputs and outputs are exchanged, that is, the values of x on the function are the values of y on the inverse, and the values of y on the original function are the values of x on the inverse function, thus, the domain and range are also exchanged.In the original function, x assumes values in the interval [tex]x \geq 5[/tex], hence, in the inverse function, the values assumed by y, which is the range, is [tex]y = \geq 5[/tex]
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please help me please
Answer:
6x-3
Step-by-step explanation:
Let f(x) = x, and x=f(x) .
Re arrange to find formula. I.e
[tex] x = \frac{f(x) + 3}{6} \\ 6x = f(x) + 3 \\ f(x) = 6x - 3[/tex]
express 0.24 as a percent
Answer: 24%
Step-by-step explanation:
Answer: 0.24%
Step-by-step explanation: i hope this helps have a blessed day
If the value of y varies directly with x, which function represents the relationship between x and y when y= 16/5 and x = 20?
Not sure if this is the answer but this is what I got
Answer: y= 4/25 x
Frieda paid $132 for groceries for her family. This was 1 1/8 as much as she paid for the previous time she shopped. How much did Freda pay on her previous shopping trip
Answer:
$117.33
Step-by-step explanation:
1 1/8 = 1 + 1/8 = 8/8 + 1/8 = 9/8
She paid 9/8 what she paid the last time.
Let the amount she paid last time equal x.
$132 is 9/8 of x.
9/8 x = 132
8/9 * 9/8 x = 132 * 8/9
x = 117.33
She paid $117.33
Can someone rewrite the following equation into slope-intercept form ?
6x-7y=3
In an xy-coordinate system, Line l has a slope of –3. If the points (2, 16) and (5, t) are on Line l, what is the value of t?
A.17
B.15
C.25
D.7
See attachment for math work and answer.
The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.
Given that, in an xy-coordinate system, line l has a slope of -3. If the points (2, 16) and (5, t) are on line l.
What is slope of a line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The formula to find the slope of a line is slope = (y2-y1)/(x2-x1)
Now, substitute m=-3, (x1, y1)=(2, 16) and (x2, y2)=(5, t) in slope formula, we get
-3 =(t-16)/(5-2)
⇒ -3 =(t-16)/3
⇒ t-16=-9
⇒ t=7
The value of t is 7 and the coordinate is (5, 7). Therefore, option D is the correct answer.
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The amount of money you earn varies directly to the number of pizzas you sell. If you earn $44 for selling 8 pizzas, How many pizzas do you need to sell to earn $132?
1: Set up an equation
2:Solve the problem.
Answer:
You would need to sell 24 pizzas
Step-by-step explanation
132/44= 3
Take the 3 and times it by 8
3 x 8 = 24
You would need to make 24 pizzas
Each pizza is 5.50$
So an equation for this could be
5.50x P = C
P = Pizza
and C is the cash you earned
I hope this helps
yall help im drowning in work. 19 = 4a − 12
Answer:
a=7.75
Step-by-step explanation:
19 = 4a − 12. 19+12=31. 31/4=7.75
Answer:
7.75
Step-by-step explanation:
19 = 4a - 12
add 12 to both sides
31 = 4a
divide by 4 to isolate the variable
7.75 = a
11. One taxi company charges $10 plus $0.10 per mile for a fare to the airport. Another taxi
company charges $5.50 plus $0.35 per mile for the same fare. For how many miles will the two
companies charge the same amount?
Step-by-step explanation:
this answer will be 15 I think
16.5 × 6.67 - 4.67 × 16.5
vector u has initial point at (6,8) and terminal point at (3,-2). Vector v has initial point at (-4,-3) and terminal point at (1,-7). What is u-v in component form?
a.(-8,-6)
b.(-2,-6)
c.(8,6)
d.(12,16)
Answer:
Edg: A - (-8,-6)
Step-by-step explanation:
Using vector concepts, it is found that the component form of u - v is (-8,-6), option a.
-----------------------------------
The component form of a vector is given by its terminal point subtracted by its initial point.The subtraction of vectors is the subtraction of its components.-----------------------------------
Vector u has initial point at (6,8).Vector u has terminal point at (3,-2).Thus, the component form of vector u is:
[tex]u = (3,-2) - (6,8) = (3-6, -2-8) = (-3,-10)[/tex]
-----------------------------------
Vector v has initial point at (-4,-3).Vector v has terminal point at (1,-7).Thus, the component form of vector v is:
[tex]v = (1,-7) - (-4,-3) = (1 - (-4), -7 - (-3)) = (1 + 4, -7 + 3) = (5,-4)[/tex]
-----------------------------------
The subtraction of vectors u and v is the subtraction of it's components, thus:
[tex]u - v = (-3,-10) - (5, -4) = (-3 - 5, -10 - (-4)) = (-8, -10 + 4) = (-8,-6)[/tex]
The component form of u - v is (-8,-6), option a.
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Use inductive reasoning to find the next two terms in the sequence:
400, 200, 100, 50, ______, ______
how do you solve for a missing measure on a triangle
To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2.
You're welcome Have a nice night ✨Joey goes to an electronics store to buy video games and
CD's. He has $140 from his birthday party and he's looking to
buy video games for $35 each and CD's for $15 each. Write an
inequality to describe the possible number of video games and
CD's that Joey can buy. If Joey buys 4 CD's, what is the
maximum number of video games he can buy?
video games
Answer:
2
Step-by-step explanation:
What is the equation for this graph
Clara buys an item with a normal price of $24, but saves $6 by using a coupon. For what percentage off is this coupon?
Answer:
She saved 25%
Step-by-step explanation
(100 * 6) /24 = 25
18.
The perimeter of a rectangle is 42 inches. The length of the rectangle can be represented by x + 4 and its width can be represented by 2x minus 7. What is the width of the rectangle in inches?
8
9
12
10.3
p=2(l+b) =2(3x-3) =6x=48=x=8
Answer: It’s 8
Step-by-step explanation:
True or False: -10 > -65
Help plz
Answer:
True
Step-by-step explanation:
on a number line -10 is further right than -65.
Answer:
True -10 is closer to 1 the -65
Step-by-step explanation:
FREUUUUUU POINTS +brainlest
Answer:
:P
Step-by-step explanation:
Which street is parallel to 1st Ave?
A. 2nd Ave
B. Main Road
C. Central Ave
D. D Street
Answer:
i believe its the second ave
Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.
The street that is parallel to 1st Ave is 2nd Ave.
What are parallel lines?Parallel lines are those lines that are always the same distance apart and parallel lines do not intersect or meet each other.
Example:
Line A and Line B have an angle of zero between each other.
This means Line A and Line B are parallel to each other.
We have,
Five streets:
1st ave
2nd ave
Central ave
D steet
Main road
Now,
Central Ave and the main road are parallel to each other.
1st Ave and 2nd Ave are parallel to each other.
D Street is perpendicular to 1st Ave and 2nd Ave.
Central Ave and Main Road are also perpendicular to 1st Ave and 2nd Ave.
We see that,
The street that is parallel to 1st Ave is 2nd Ave.
Thus,
The street that is parallel to 1st Ave is 2nd Ave.
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The length of a rectangle is 3 inches less than its width the area of the rectangle is 18 in.² what are the dimensions of the rectangle
Answer:
w=6 in
l=3 in
Step-by-step explanation:
let w = width and length be 'w-3'
Two sides of w and two sides of (w-3) equal 18 sq in
18=2(w)+2(w-3)
18=2w+2w-6
4w=24
w=6
The width of rectangle is, 6 in.
And, Length of rectangle is 3 in.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
The length of a rectangle is 3 inches less than its width
And, the area of the rectangle is 18 in.²
Now, We know that;
Area of rectangle = Length × Width
Let the width of rectangle = x
Hence, Length of rectangle = x - 3
Thus, We get;
Area of rectangle = Length × Width
18 = x (x - 3)
18 = x² - 3x
x² - 3x - 18 = 0
x² - (6 - 3)x - 18 = 0
x² - 6x + 3x -18 = 0
x(x - 6) + 3 (x - 6) = 0
(x - 6) (x + 3) = 0
x = 6 , x = - 3
But dimensions are not negative.
Hence, We get;
x = 6
Thus, the width of rectangle = 6 in.
Hence, Length of rectangle = x - 3
= 6 - 3 = 3 in.
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