Solve for 4 - (x + 2) < -3 ( x + 4 )
( 9th grade Algebra 1)
how do you solve sin(x) + cos(x) * tan(x)
Step-by-step explanation:
[tex] \sin(x) + \cos(x) \times \tan(x) \\ = \sin(x) + \cos(x) \times \frac{ \sin(x) }{ \cos(x) } \\ = \sin(x) + \sin(x) \\ = 2 \sin(x) [/tex]
Step-by-step explanation:
sin(x) + cos(x) = sin x ÷cos x
sin(x) + cos(x) sin(x) ÷ cos (x)
join cos x and sin x
sin x + sin x
cancel cos x with cos x
The answer is 2 sin x
Suppose the average yearly salary of an individual whose final degree is a master's is $50 thousand less than twice that of an individual whose final degree is a bachelor's. Combined, two people with each of these educational attainments earn $124 thousand. Find the average yearly salary of an individual with each of these final degrees.
Bachelor's degree salary = $53000
Master's degree salary = $66000
Step-by-step explanation:
Given that :
Let Salary of bachelor's degree holder = x
Salary of Master's degree holder = 2x - 40000
Master's salary + bachelor's salary = $119,000
Hence,
Master's salary + bachelor's salary = 119,000
2x - 40000 + x = 119,000
3x = 119000 + 40000
3x = 159000
x = 159000 / 3
x = $53,000
Bachelor's degree salary = $53,000
Master's degree salary ; 2x - 40000 ; 2(53000) - 40000 = $106,000 - $40,000 = $66000
The average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
Let, the average yearly salary of an individual with a bachelor's degree as "B" and the average yearly salary of an individual with a master's degree as "M".
According to the information given:
The average yearly salary of an individual with a master's degree is $50 thousand less than twice that of an individual with a bachelor's degree:
M = 2B - $50,000
The combined yearly salaries of two people with each of these educational attainments earn $124 thousand:
B + M = $124,000
Now we can solve this system of equations to find the values of B and M.
Substitute the value of M from the first equation into the second equation:
B + (2B - $50,000) = $124,000
3B - $50,000 = $124,000
Now, solve for B:
3B = $174,000
B = $174,000 / 3
B = $58,000
Substitute the value of B back into the first equation to find M:
M = 2B - $50,000
M = 2 * $58,000 - $50,000
M = $116,000 - $50,000
M = $66,000
So, the average yearly salary of an individual with a bachelor's degree is $58,000, and the average yearly salary of an individual with a master's degree is $66,000.
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Is -√15 irrational or rational
Please I need help ASAP, I don’t understand anything and it’s due tomorrow
Answer:
Alright, here we go.
11. Those are vertical angles. All vertical angles are equal.
6x + 7 = 8x - 17
2x = 24
x = 12
12. Those are linear angles (adjacent angles on a line). Linear angles = 180.
(11x - 15) + (5x - 13) = 180
16x - 28 = 180
16x = 208
x = 13
13. If BD is perpendicular to AC, that means ∠ABD and ∠CBD = 90°. ∠CBD is made up of angle DBE, which equals (2x - 1)° and angle CBE, which equals (5x - 42)°.
(5x - 42) + (2x - 1) = 90
7x - 43 = 90
7x = 133
x = 19
14. Angles PQS and SQR are equal and halves of angle PQR because of bisector QS. If PQR = 82°, angle PQS = 41°
10x + 1 = 41
10x = 40
x = 4
15. If the bottom angle is (x + 10)°, then the top angle is also (x + 10)° because they're vertical angles. Angle (x + 10) and angle (10x - 61) are linear angles, so they equal 180.
(x + 10) + (10x - 61) = 180
11x - 51 = 180
11x = 231
x = 21
As for y, insert 21 as x for (10x - 61).
10(21) - 61
210 - 61
149
(18y + 5) should also equal 149° bc of vertical angles.
18y + 5 = 149
18y = 144
y = 8
x = 21
y = 8
(16 is crossed off so I'm going to assume you're not doing that one.)
17. If angle MNQ = (8x + 12)°, and it's bisected by NP, we can say that angles MNP and PNQ are equal halves of (4x + 6)°. Now, we were told that angle PNQ = 78°.
4x + 6 = 78
4x = 72
x = 18
This means that angle MNQ = 78 x 2, which is 156.
Now to find y, we see that angles MNQ and RNM are linear angles, so we can say:
(3y - 9) + 156 = 180
3y - 9 = 24
3y = 33
y = 11
x = 18
y = 11
(This took a while.)
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system is shown represents this equation. x + y = 24 3x + 5y = 100
X=10
Y=14
Step-by-step explanation:
Solve simultaneously using substitution method as shown in the image
A steel ball has a volume of 1500 cm.
The density of the ball is 95 g/cm'.
Find the mass of the ball in kg.
Answer:
95kg
Step-by-step explanation:
Mass÷Volume=Density
Therefore, Mass = Volume × Density
Mass = 1500 × 95
Mass = 95,000g
Since we were asked to find the mass in kg:
1000g = 1kg
Therefore, 95,000g = 95kg
what is -2 1/3 - 1 1/2 =
Step-by-step explanation:
[tex] \frac{ - 21}{3} - \frac{11}{2} [/tex]
[tex] \frac{ - 21 \times 2 - 11 \times 3}{6} [/tex]
[tex] \frac{ - 42 - 33}{6} [/tex]
[tex] \frac{ - 75}{6} [/tex]
[tex]12.5[/tex]
I hope this will help you...please mark my answer as BRAINLIEST..,....A car travels 800 kilometers in 10 hours. What is it's average speed? How far will it go in 14 hours?
Answer:
10
Step-by-step explanation:
[tex]\\ \rm\longmapsto Speed=\dfrac{Distance}{Time}[/tex]
[tex]\\ \rm\longmapsto Speed=\dfrac{800}{10}[/tex]
[tex]\\ \rm\longmapsto Speed=80km/h[/tex]
Time=14h[tex]\\ \rm\longmapsto Distance=Speed(Time)[/tex]
[tex]\\ \rm\longmapsto Distance=80(14)[/tex]
[tex]\\ \rm\longmapsto Distance=1120km[/tex]
Please help!
Please do not just give the answer, also explain please because I need to know how to do this.
Find the value of X
Answer:
x = 6.5
Step-by-step explanation:
In order to solve this problem, you need to use trigonometry (sin, cosine, tangent).
Sin = opposite/hypotenuse
Cosine = adjacent/hypotenuse
Tangent = opposite/adjacent
We need to use tangent in this case because 10 is the opposite side from the 57° angle, and x is right next to it, making it adjacent. So, our equation would look like this:
tan (57)° = 10/x
Multiply both sides by x
x (tan (57)°) = 10
Divide both sides by tan (57)°
10 / tan (57)° = 6.49408 = 6.5
Step-by-step explanation:
We are given two angles measures and one side. Notice the given angle and the side that is opposite to that given angle is given. We need to find side x. But can we also find the angle opposite of the side we are trying to find. Yes we can
Remeber that triangles interior angles add up to 180.
Remeber that triangles interior angles add up to 180.One angle measure 90 and the other measure is 57 so
[tex]90 + 57 + x = 180[/tex]
[tex]x = 33[/tex]
So the angle opposite of the side we are trying to find is 33.
Since we know two angles and two sides that are opposite of those two angles respectively, we can use what is called Law of Sines
[tex] \frac{b}{ \sin(b) } = \frac{c}{ \sin(c) } [/tex]
where the numerator are the side measures, and the denominator are the angle measures.
Plug in the respectively values. Angle 57 is opposite of 10 and Angle 33 is opposite of x.
[tex] \frac{10}{ \sin(57) } = \frac{x}{ \sin(33) } [/tex]
Multiply both sides by sin 33 to isolate x.
We get
[tex]x = 6.494[/tex]
Round if needed
In other words, apply law of sines when you have two angles and two sides that are opposite of those angles respectively.
Someone plz help giving brainliest
Answer:
Its C.
Step-by-step explanation:
I had this and its C. trust me
PLEASE HELP!!! I will give you brainliest!
Answer:
6
Step-by-step explanation:
The range of the middle 50% is the right side of the box subtracting the left side of the box
14-8
6
5. You make $10 per hour and worked 25 hours last week. They took out 5.65% for
income taxes and 7.65% for FICA. How much is your net pay?
The largest moth is the Atlas moth. The Atlas moth is
11.8 inches long Which of the following is the lenghth
of the Atlas moth written as a mixed number
12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6
Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:
The number of triangles that can be formed by an n-sided shape is n - 2.
Given that:
[tex]n \to[/tex] number of sides
From the attached figures, we have the following observation.
3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 trianglesIf this pattern continues, the number of triangles for an n-sided shape will be: n - 2
Hence, the conjecture is:
The number of triangles that can be formed by an n-sided shape is n - 2.
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Solve and show how pls
Answer:
16
Step-by-step explanation:
since -4 is being squared, we can write it out as -4 * -4, to get us the answer 16. this answer is positive because a negative times a negative will cancel out and = a positive.
Alyssa bought 2 packs of football cards for $4.52 each, and a deck of Digimon Cards
for $11.47 with two $20 bills. Alyssa found $7.72 in her pocket. How much change
did Alyssa get?
Hello :D
2 x $4.52 = $9.04
$9.04 + $11.47 = $20.51
2 x $20 = $40.00
$40.00 - $20.51 = $19.49
With change:
$40.00 + $7.72 = $47.72
$47.72 - $20.51 = $27.21
A manager of a clothing store always orders 2 small shirts and 3 large shirts for every 4 medium shirts ordered. The manager plans to order 24 medium shirts.How many small shirts and large shirts will the manager order?
Answer:
Small shirts = 12 shirts
Large shirts = 18 shirts
Step-by-step explanation:
Given information
There are plans for ordering 24 medium shirts.
For every 4 medium shirts, there would always be 2 small shirts and 3 large shirts.
STEP ONE: Find how many groups of [4 medium shirts] are ordered.
24 / 4 = 6
There should be 6 groups of 4-medium-shirts orders.
STEP TWO: Find the number of small shirts.
6 × 2 = 12 shirts
STEP THREE: Find the number of large shirts.
6 × 3 = 18 shirts
Hope this helps!! :)
Please let me know if you have any questions or need further explanations
express x²+4x-2 in the form of (x+a)²+b
Answer:
(x+2)^2-6
Step-by-step explanation:
(x+2)^2 = x^2 + 4x + 4
x^2 + 4x + 4 -6 = x²+4x-2
Answer:
(x + 2)² - 6
Step-by-step explanation:
Using the method of completing the square
add/subtract ( half the coefficient of the x- term)² to x² + 4x
x² + 2(2)x + 4 - 4 - 2
= (x + 2)² - 6
What is the length of AC
Answer:
24 is the answer. Hope it helps you! Stay blessed.
Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits
Answer:
5,12,13
Step-by-step explanation:
SEE THE IMAGE FOR SOLUTION
HOPE IT HELPS
HAVE A GREAT DAY
find the cost of of 1/2 litre if if 6 litres cost £7.20
if 6 litres cost £7.20
then 1/2 of it will cost 'x'(algebraic value)
we form equation
[tex] \frac{ 7.2}{6} \times \frac{1}{2}x[/tex]
which is equal to 0.6
Cost of 1/2 liter is £0.6.
What is unitary method?It is a method where we find the value of a single unit from the value of multiple units and the value of multiple units from the value of a single unit.
According to the question
Cost of 6 liters ⇒ £7.20
Cost of 1/2 liter ⇒ X
According to the unitary method
6X = [tex]7.20\times\frac{1}{2}[/tex]
X = [tex]\frac{7.20}{6}\times\frac{1}{2}[/tex]
X = [tex]\frac{3}{5}[/tex]
X = £0.6
Cost of 1/2 liter is £0.6
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2. Write each of these expressions in the form (+)!+, where and are constants.
a)6!+12−3
b)−18+3!+4
Step-by-step explanation:
a)6!+12-3
=6!+9
b)-18+3!+4
=3!-14
=3!+(-14)
both are in the form if (+)!+constant.
Note:if you need to know any question about it please let me know.
(PLEASE SOLVE THIS I JUST NEED TO KNOW CHECK MY ANSWER PLEASE EXPLAIN AS WELL)
Answer:
105
Step-by-step explanation:
219+(-114)=219-114=105
f(x)=x^2-6x
g(x)= √x
Evaluate f(g(25)) = ???
Answer:
f(g(25)) = -5
Step-by-step explanation:
You have to put 25 in place of x in g, and after, you take the result and put in place of x in f:
g(5) = √25 = 5
f(5) = 5^2 -6•5
f(5) = 25 -30
f(5) = -5
express the following algebraically a)sun of p and q. b)difference of 2x and 3y. c)a and are added. d)difference of 7 and 4.
Step-by-step explanation:
p+q2x-3ya+r7-4i hope it helped U
change this recurring decimal into fraction
Answer:
[tex] \frac{3393939}{10000000} [/tex]
Step-by-step explanation:
[tex]0.(3)3(9) = \frac{3393939}{10000000} [/tex]
i dont know how to solve this
Answer:
x° = 43°x° = 51°x° = 86°Step-by-step explanation:
Given,
x + ( x + 8) + 2x = 180° [Since angle sum property of triangle]
=> x + x + 8 + 2x = 180
=> 4x + 8 = 180
=> 4x = 180 - 8
=> 4x = 172
[tex] = > x = \frac{172}{4} [/tex]
=> x = 43
As,
We got value of x as 43 so,
x° = 43°
x° = 43 + 8 = 51°
x° = 2 × 43 = 86°
Answer:
180
Step-by-step explanation:
What is
an equation of the line that passes
through the points (0, 3) and (5, -3)?
Answer:
y= -6/5x +3
Step-by-step explanation:
y = mx + b is the formula for every linear equation. m is the slope (comment if you don't know how to find the slope), and b is the y-intercept. You just have to find those terms and plug them in.
Find the distance between the points, A (-2, -3) and B (10, -2).
A. 13 units is the answer.
