Answer:
6
Step-by-step explanation:
The equation for this problem would be c = (20 + 8) / 2 - 8. Add 20 and 8 to get 28, divide 28 by 2 to get 14, then subtract 8 to get 6.
Find sec, tan 0, and sin 0, where is the angle shown in the figure.
Give exact values, not decimal approximations.
0
4
5
The exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
How to determine the trigonometric ratiosFrom the figure, we have the values of the sides to be;
opposite side = 5Adjacent side = 4Let's use Pythagorean theorem to find the hypotenuse(x)
Hypotebuse square = opposite side square + adjacent side square
Substitute the values deduced from the figures given
x² = 5² + 4²
x² = 25 + 16
x² = 41
x = [tex]\sqrt{41}[/tex]
x = 6. 4
sin θ = opposite/hypotenuse
Substitute the values
sin θ = 5/ 6. 4
tan θ = opposite/ adjacent
Substitute the values
tan θ = 5/ 4
sec θ = hypotenuse/ adjacent
substitute the values
sec θ = 6. 4/ 4
Thus, the exact values of sec θ, tan θ and sin θ are 6.4/4, 5/4 and 5/ 6.4 respectively.
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Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get
Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.
How many sweets does Nathan gets?Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.
Let the sweet be represented by x
For each x sweet for Yasmin, Nathan gets 3x sweets
Hence
x + 3x = 12
We solve for x
4x = 12
x = 12/4
x = 3
Hence;
Yasmin gets x sweet = 3
Nathan gets 3x sweets = 3 × 3 = 9
Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.
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Please draw the number line and show me if possible:)
The solution to the given inequality expression is expressed as x ≥ 6
Solving inequalitiesGiven the inequality expression shown below;
5x-9/7≥3
Cross multiply
(5x -9)≥7(3)
Expand
5x-9≥21
Add 9 to both sides
5x ≥ 21 + 9
5x ≥ 30
x ≥6
The solution to the given inequality expression is expressed as x ≥ 6
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IM IN A HURRY PLEASE HELP ME QUESTION IS DOWN BELOW WORTH 15 POINTS each
Answer:
a) ∠VUW
b) VY
c) XYV
d) 180°
e) 65°
Step-by-step explanation:
Part A:A central angle is an angle that creates an arc in a circle, while also having its vertex as the center of the circle.
Here the center is U. So, the vertex of the angle must include U.
This means that there are multiple answers to part a.
The answers can be:
∠VUW
∠WUX
∠XUV
Part B:A minor arc is any arc that doesn't exceed 180°.
The possible answers for part b, using this definition are:
WV
VY
XY
Part C:The answer you inputted here is incorrect.
The order of the letters matter.
A tip for you to never mess these up is to trace the letters you've chosen with your finger and see if that image you make with your finger matches up with the shape you wanted to make.
An arc that makes a semicircle is an arc that connects the endpoints of the diameter. The diameter in this case is VX.
This means that your answer must start with V and end with X, or the other way around. (Meaning you could start with x and end with v, but always make sure you keep the endpoints of the diameter as the endpoints of the arc.)
The possible answers for this part are either:
VYX or VWX
Part D:This arc intercepts the diameter, which is a straight line and a central angle.
The angle of a diameter is 180°.
The arc of an intercepted central angle has the same measure of the central angle itself.
So, the measure of VWX is 180°.
Part E:If an arc intercepts a central angle, then the arc has the same measure as the central angle.
This rule works the other way around, too.
So, the central angle has the same measure as the minor arc that it intercepts.
Measure of arc VUW is 65°, so m∠VUW is also 65°.
A stadium has 53,000 seats. Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C. The number of seats in Section A
equals the total number of seats in Sections B and C. Suppose the stadium takes in $1,131,000 from each sold-out event. How many seats
does each section hold?
The number section A, section B and section C seats sold are 26500, 14200 and 12300 respectively.
How to use equation to find the total number of seat in each section?The stadium has 53,000 seats.
Seats sell for $25 in Section A, $20 in Section B, and $15 in Section C.
The number of seats in Section A equals the total number of seats in Sections B and C.
Therefore,
a = b + c
a + b + c = 53000
b + c + b + c = 53000
2b + 2c = 53,000
25a + 20b + 15c = 1131000
25(b + c) + 20b + 15c = 1131000
25b + 25c + 20b + 15c = 1131000
45b + 40c = 1131000
Hence,
2b + 2c = 53000
45b + 40c = 1131000
40b + 40c = 1060000
45b + 40c = 1131000
-5b = - 71000
b = - 71000 / -5
b = 14,200
Therefore,
2(14,200) + 2c = 53000
2c = 53000 - 28400
2c = 24600
c = 24600 / 2
c = 12300
Hence,
a = b + c
a = 14200 + 12300
a = 26500
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how to find n if sn=969 of A.p,a1=9 and d=6
1/2x + 1/4y = 3 solve for y
Answer:
y=-2x+12
Step-by-step explanation:
First, subtract 1/2 from each side
1/4y = -1/2x + 3 --> multiply each side by 4
y = -2x + 12 is your final answer
Find the missing side of the triangle. pythagorean 4 A. 337‾‾‾‾√ km B. 5‾√ km C. 193‾‾‾‾√ km D. 112‾√ km
The missing side in the given triangle is x = √193 km
Pythagoras theoremThe Pythagoras theorem is expressed as;
x^2 = a^2 + b^2
where
x is the longest side
Substitute the given side
x^2 = 12^2 + 7^2
x^2 = 144 + 49
x = √193 km
Hence the missing side in the given triangle is x = √193 km
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What is the value of tan M?
15
15
17
L
∞ ∞01 200
8
17
8
15
15
K 8
8
M
Answer:
The value of tan M = 15/8
Step-by-step explanation:
[tex]tan \: m \: = \frac{p}{b} \\ tan \: m \: = \frac{15}{8} [/tex]
The diameter of an electric cable is normally distributed, with a mean of 0.9 inch and a standard deviation of 0.02 inch. What is the probability that the diameter will exceed 0.92 inch? (You may need to use the standard normal distribution table. Round your answer to three decimal places.)
The probability that the diameter of the electric cable that is normally distributed will exceed 0.92 inch is 0.841
What is probability?Probabilities are used to determine the chances, likelihood, possibilities of an event or collection of events
How to determine the probability?The given parameters are:
Mean = 0.9
Standard deviation = 0.2
Calculate the z-score at x = 0.92 using
[tex]z = \frac{x - \mu}{\sigma}[/tex]
This gives
z = (0.92 - 0.9)/0.02
Evaluate the numerator; subtract 0.9 from 0.92
z = 0.02/0.02
Divide 0.02 by 0.02. This gives
z = 1
The probability is then represented as:
P(x > 0.92) = P(z > 1)
Next, we look up the value of the z table of probabilities
From the z table of probabilities, we have:
P(x > 0.92) = 0.841
Hence, the probability that the diameter of the electric cable that is normally distributed will exceed 0.92 inch is 0.841
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3. Mr. Black's pay increased by 15% when he got a raise, bringing his new salary to $184. What was Mr. Black's original pay?
Answer:
$160
Step-by-step explanation:
115% = $184
100% = X
let X be the original salary
(X is unknown)
115% = $184
100% = X
cross mutiply
115 x X = 100 x 184
115X = 18400
X = 18400 divided by 115
X = $160
therefore,Mr Black's original salary before increased by 15% was $160
hope am helpful.
How do you solve for m?
m= −(4+m)+2
Answer:
[tex]\bf m = - 1[/tex]
Step-by-step explanation:
[tex]\bf m= −(4+m)+2[/tex]
First of all, let's Rearrange the given terms :-
[tex]\bf m = - ( m +4) + 2[/tex]
Now, let's distribute:-
[tex]\bf m = - m - 4 + 2[/tex]
Add numbers -4 + 2 = -2
[tex]\bf m = - m - 2[/tex]
Add m to both sides, and combine like terms :-
[tex]\bf 2m = - 2[/tex]
Divide both sides by 2 :-
[tex]\bf m = - 1[/tex]
Question 2 of 5
Select the correct answer.
After buying a car, Sarah decides to get it appraised every few years. After owning the car for two years, its value is $5,000. After own
the car for five years, its value is $2,000.
What is the equation that models this inverse variation?
Oy=
O y = 2,500
O
O
5,000
y = 2,000
y =
10,000
Submit
Reset
The inverse proportional relationship that models this variation is given as follows:
[tex]y = \frac{10,000}{x}[/tex]
What is a proportional relationship?A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:
y = kx
In which k is the constant of proportionality.
An inverse proportional relationship is given as follows:
[tex]y = \frac{k}{x}[/tex]
In this problem, we have an inverse relation in which y(2) = 5000, hence the constant k is found as follows:
[tex]y = \frac{k}{x}[/tex]
[tex]5000 = \frac{k}{2}[/tex]
k = 10,000
Hence the relation is:
[tex]y = \frac{10,000}{x}[/tex]
As stated in the problem, when x = 5, y = 2,000, which we can verify replacing in the relation.
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Which inequality is represented by the given graph?
C) y ≤ -3x+6
D) y ≥ 3x+6
Answer: c, y ≤ -3x+6
Step-by-step explanation:
for example we could use a point on the graph such as (-2, 0)
now we would insert the numbers into the inequality:
y ≤ -3x+6
= 0 ≤ -3(-2) +6
= 0 ≤ 6+6
= 0 ≤ 12
which is true! therefore it is y ≤ -3x+6
lim 1 − cos(2x) /x x→0
The value of the limit of the function given when the value of x tends to zero is 0
What is a limit of a function?The limit of a function is a fundamental concept in calculus and analysis concerning the behavior of that function near a particular inputs.
Given the function limit below;
lim x→0 [1 − cos(2x) /x]
Substitute the value of x into the expression to have;
f(0) = 1-cos2(0)/0
f(0) = 1-1/0
f(0) = 0/0 (ind)
Apply the L'hospital rule to have:
lim x→0 [ − (-2sin2x)) /1]
Substitute the value of x into the result
f(0) = 2sin2(0)/1
f(0) = 2(0)
f(0) = 0
Hence the value of the limit of the function given when the value of x tends to zero is 0
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Solve p/-1+ 17 = 13 for p.
Answer: 208
Step-by-step explanation:
[tex]\frac{p}{-1+17} =13[/tex]
[tex]\frac{p}{16} =13[/tex]
[tex](16)\frac{p}{16} =13(16)[/tex]
[tex]p=13*16[/tex]
[tex]p=208[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \frac{p}{-1}+17=13 \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply \ the \ properties \ of \ fractions: \frac{a}{-b}=-\frac{a}{b}. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-\frac{P}{1} } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Apply\:the\:rule \:\frac{a}{1}=a} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{=-P} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17=13} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Subtract \ 17 \ from \ both \ sides. } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P+17-17=13-17} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{-P=-4} \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Divide\:both\:sides\:by\:-1} \end{gathered}$}[/tex]
[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{-p}{1}=\frac{-4}{-1} } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Simplify } \end{gathered}$}[/tex]
[tex]\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{P=4} \end{gathered}$}}[/tex]Consider the following sample data set of 20 numbers.
24 30 4 42 40 26 23 36 12 45 29 21 34 16 47 28 32 54 19 9
1.
Create a relative frequency table and a frequency histogram with the bin width 8.
2.
Find the sample mean. (Round to the nearest hundredth.)
3.
Find the sample standard deviation
. (Round to the nearest hundredth.)
The mean = 28.55, while the standard deviation is 13.16
1. The histogram is an attachment
How to calculate for the mean of the data setWe have the following numbers
24 30 4 42 40 26 23 36 12 45 29 21 34 16 47 28 32 54 19 9
The sum of these numbers is given as
571
The total numbers = 20
The mean = 571/20
= 28.55
2 = How to find the standard deviation= (24 - 28.55)2 + ... + (9 - 28.55)/20 - 1
= 3292.95/19
= 173.31315789474
s = √173.31315789474
= 13.164845532506
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16
3. A Ferris wheel with a radius of 25 m makes 2 rotations every minute.
a. State the period of the Ferris wheel.
b. Complete a tables of values showing the height above the ground for 2 rotations of the
Ferris wheel by assigning the correct variables
c. Graph 2 rotations of the Ferris wheel. (Hint: Time Vs Height above the platform)
d. State the amplitude of the Ferris wheel.
A) The Period is 30 seconds
D) The amplitude is 25 m
How to find the period and amplitude?
A) Since the Ferris wheel makes 2 rotations every minute, then we can say that the period is;
T = 1/2 = 0.5 minutes = 30 seconds
B) Let t be time in seconds and let h be height and as such, we have the formula; h = 25 - 25 cos ((2π/30)t)
Thus, the table is attached showing input values of t and their corresponding h values.
C) The graph of the table above is as attached below.
D) The amplitude is;
Amplitude = (Maximum Point - Minimum Point)/2
Amplitude = (50 - 0)/2
Amplitude = 25
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The number of marriage licenses issued by Clark County Nevada, the county where Las Vegas is located, has been
decreasing since the year 2000:
According to the model, how many marriage licenses were issued in 2003? Round your answer to the nearest hundred.
You must find the linear regression equation first.
The number of marriage licenses were issued in 2003 is 21586.
According to the statement
we have to find the number of marriage licenses were issued in 2003
and the given equation is y=3.405x^2-17674x+21533000
And in this equation x represent the time
And Y represent the number of marriage certificate issued.
So, in given equation
y=3.405x^2-17674x+21533000
we fill the value of X and find the value of Y means tne number of marriage license is issued in 2003
We know that X = 3 from 2000 to 2003
Then put X=3 in the given equation.
Then
This is the equation (1) represent the change
y=3.405(3)^2-17674(3)+21533000 -(1)
y = 30.645+53022+21533000
y = 21586052.645
On nearest hundred the value becomes 21586.
So, The number of marriage licenses were issued in 2003 is 21586.
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DISCLAIMER: The question was incomplete. please find the full content below.
QUESTION:
According to the model, how many marriage licenses were issued in 2003? Round your answer to the nearest hundred.
The number of marriage licenses issued by Clark county Nevada, the county where Las Vegas is located, has been decreasing since the year 2000. This can be modeled by y=3.405x^2-17674x+21533000 where x is the year and y is the number of marriage licenses issued.
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Answer: A. 137,000
Step-by-step explanation: I did the quiz.
a. How many bushels of corn, if any, will the United States export or import at the prices below?
At $1, it will (import, export, or neither import or export )
___bushels.
b. How many bushels of corn, if any, will the United States export or import at the prices below?
At $2, it will (import, export, or neither import or export )
____bushels.
c. How many bushels of corn, if any, will the United States export or import at the prices below?
At $3, it will (import, export, or neither import or export )
____ bushels.
d. How many bushels of corn, if any, will the United States export or import at the prices below?
At $4, it will (import, export, or neither import or export )
____ bushels.
e. How many bushels of corn, if any, will the United States export or import at the prices below?
At $5, it will (import, export, or neither import or export )
____ bushels.
2.
a. Use this information to construct the U.S export supply curve and import demand curve for corn
b. Suppose that the only other corn-producing nations is France, where the domestic price is $4. Which country will export corn and which country will import it
The United Stated will import corn France will export it
The United States will export corn and France will import it
Neither country will import or export corn.
Based on the graph which depicts the United States domestic market for corn at different prices, we can logically deduce the following information:
At $1, the United States will import 15,000 bushels of corn.At $2, the United States will import 7,000 bushels of corn.At $3, the United States will neither import nor export any bushels of corn.At $4, the United States will export 6,000 bushels of corn.At $5, the United States will export 10,000 bushels of corn.Assuming France is the only other corn-producing nations at a domestic price of $4, we can reasonably infer that the United States will export corn while France will import it.
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Calculate the perimeter and area of this shape.
Perimeter =
Area =
7.5 cm
6 cm
2 cm
3 cm
2 cm
area = 25.5 cm²
Step-by-step explanation:
i have shown in the image you have to rotate it to see how i worked the area out
i am very sorry i cant work the perimeter out since i have no idea what the length of the two sides of the triangle are . if you need help on understanding how i worked out the area please let me know .
hopefully i was able to help you in half of the question i am sorry for not helping on the perimeter :)
Answer:
Step-by-step explanation:
Perimeter=25
Factor problems 1-4 by finding the GCF.
1. 4x3 – 12x2 + 4x
A. 4x(x2 – 3x + 1)
B. 4x(4x2 – 3x + 1)
C. 4x(4x2 – 3x - 1)
D. 4x(x2 – 6x + 1)
E. 2x(2x2 – 6x + 2)
F. This polynomial cannot be factored using the GCF method.
2. 9x4 + 4x3 - 27x2 + 12x
A. x(9x3 + 4x2 + 27x + 12)
B. x(9x3 + 4x2 - 27x + 12)
C. x(9x4 + 4x3 – 27x2 + 12x)
D. x4(9x3 + 4x2 + 27x + 12)
E. x(9x4 + 4x3 - 27x2 + 12x)
F. This polynomial cannot be factored using the GCF method.
3. x2 – 3x + 4
A. x(x – 3)
B. x(x + 3)
C. x(x – 1)
D. x(x – 7)
E. x(x + 7)
F. This polynomial cannot be factored using the GCF method.
4. 17x5 + 51x2 – 34
A. 17x5 + 3x2 + 2
B. 17(x3 + 3x2 + 2)
C. 17(x4 + 3x2 + 2)
D. 17(x5 + 3x2 – 2)
E. x5 + 3x2 – 2
F. This polynomial cannot be factored using the GCF method.
Factor problems 5 - 8 by grouping.
5. x2 – 2x + 1
A. (x – 1)(x – 1)
B. (x – 1)(x + 1)
C. (x + 1)(x – 1)
D. (x + 1)(x + 1)
E. (x + 2)(x – 1)
F. This polynomial cannot be factored by grouping.
6. x2 + 2x – 15
A. (x - 5)(x – 3)
B. (x + 5)(x + 3)
C. (x + 5)(x – 3)
D. (x - 5)(x + 3)
E. (x + 15)(x – 1)
F. This polynomial cannot be factored by grouping.
7. x2 – 3x – 18
A. (x + 3)(x + 6)
B. (x + 3)(x - 6)
C. (x - 3)(x - 6)
D. (x - 3)(x + 6)
E. (-x + 3)(x + 6)
F. This polynomial cannot be factored by grouping.
8. 8x2 + 47x + 28
A. This polynomial cannot be factored by grouping.
B. (3x + 7)(5x - 4)
C. (3x - 7)(5x - 4)
D. (3x + 7)(-5x + 4)
E. (-3x + 7)(-5x + 4)
F. (3x + 7)(5x + 4)
The factor of the polynomial expression 4x^3 – 12x^2 + 4x by using GCF method is 4x(x^2 - 3x + 1).
What is a factor of a number?The factors of a given number are those numbers that are divisible by the given number without a remainder.
By using the GCF method in an algebraic, i.e. the factors of the algebraic equation will be dependent on the greatest common factor.
From the given information, we are to factorize the following expression by using the GCF method as follows.
1.
4x^3 – 12x^2 + 4x
Here; the common expression in all the three variables is 4x. So, we have:
= 4x(x^2 - 3x + 1)
Option A is correct
2.
9x^4 + 4x^3 - 27x^2 + 12x
The common expression here is (x); So,
= x(9x^3 +4x^2 - 27x + 12)
Option B is correct
3.
x^2 - 3x + 4
This polynomial expression cannot be factored.
Option F is correct.
4.
17x^5 + 51x^2 - 34
= 17(x^5 + 3x^2 - 2)
Option D is correct.
The factorization of a quadratic equation (polynomial expression) in the form (ax^2 + bx + c) by grouping results into two factors that if multiplied together result back into the original equation.
Given that:
5.
x^2 – 2x + 1
Factors are two numbers that if the multiplied result in (ac) and if added it gives us (b)
By grouping, the polynomial expression is:
= (x - 1)(x - 1)
Option A is correct
6.
x^2 + 2x - 15
= (x + 5) (x - 3)
Option C is correct
7.
x^2 – 3x – 18
=(x + 3)(x - 6)
Option B is correct
8.
8x^2 + 47x + 28
= This polynomial expression cannot be factored in as it contains rational numbers.
Option A is correct.
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Does anyone know the answer to this?
Answer: equation: y=-4x+1
slope: -4
y intercept:1
Determine the number of solutions for the equation shown below.
4x+6= 4x+6
Ο Α. 0
OB. Infinitely many
* O C. 1
OD. 2
A nine year old girl did a science fair experiment in which she tested professional touch therapist to see if they could sense her energy field she flipped a coin to select either her right hand or her left hand and then she asked the therapist to identify the selected hand by placing their hand just under her hand without seeing it and without touching it among 285 trials the touch therapist were correct 116 times use a 0.01 significance level to test the claim that touch therapist use a message equivalent to random guesses to the results suggest that touch therapists are effective
The test statistic based on the probability illustrated is -3.22.
How to illustrate the probability?Based on the information, the test statistic will be:
= (0.4 - 0.5)/[✓0.5(1 - 0.5)/260]
= -3.22
The p value using the distribution table is 0.0012.
The conclusion is to reject the null hypothesis as there's sufficient evidence to warrant rejection.
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Attached as an image below.
The formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years
Growth constant
The growth constant k can be defined as the frequency or also known as the number of times per unit time of growing by a factor
it is also called the logarithmic return, compounded return, or the force of interest.
Note that the general formula for growth rate is given as;
[tex]P(t) = P0 e^k^t[/tex]
Where,
Po = Initial value = 400 squirrels
r = Rate of growth
k = constant of proportionality = 0. 5 per year
t = time = 1 year
The function P(t) is given as;
P(t) = 400 e^0.5t
Note that the formula for doubling time is given as;
[tex]TD = t \frac{In 2}{In 1 + r/ 100}[/tex]
r = 4
t = 1
substitute into the formula
[tex]TD = 1 \frac{0. 693}{0. 0392}[/tex]
Doubling time = 1 × 17. 68
Doubling time = 17. 68 years
Thus, the formula for the squirrel population is P(t) = 400 e^0.5t and the doubling time of the population is 17. 68 years
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Find the difference between Simple interest and compound interest on 1200 for one year at 10% per annum
Answer:
the difference between them is zero cause on first year simple interest and compound interest are equal
50 POINTS!!!!!!!!!!!!!!!!!!!!!!!! SOLVE THIS QUICKLY WITH AN EXPLANATION
Answer:
x = 22°
Step-by-step explanation:
Between two parallel lines, the opposite inside angles will be congruent. So, x is equal to angle V. The sum of the angles of any triangle will be 180°. Therefore, you can find the value of x by setting all the angles of the triangle SRV equal to 180°.
S = 5x + 4
R = 44
V = x
S + R + V = 180 <----- General equation
(5x + 4) + 44 + x = 180 <----- Insert values
5x + 48 + x = 180 <----- Add 4 and 44
6x + 48 = 180 <----- Add 5x and x
6x = 132 <----- Subtract 48 from both sides
x = 22 <----- Divide both sides by 6
Which inequality is true when x = 4?
A. X+5<_3
B.x/2<3
c.9x>36
D.18<_-8
Answer:
[tex] \sf{b. \frac{x}{2} <3}[/tex]
step by step explanation:
We will try one by one.
A. x + 5 < 3
Step 1. Subtitution Value of x
= 4 + 5 < 3
Step 2. Add by 4 with 5
= 9 < 5
A is wrong because 9 is bigger then 5
B. x/2 < 3
= 4/2 < 3
= 2 < 3
is true because 2 is smaller than 3
C. 9x > 36
9(4) > 36
36 > 36
is wrong, should 36 = 36
D. 18 < 8
is wrong because 18 is bigger than 8
3 + b/d
HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Fractions are mathematical expressions that relate two numbers as a quotient. Thus the answer to this question is: [tex]\frac{3d + b}{d}[/tex]
Fractions are expressions in a form of a quotient that relates one number to another number. The two numbers can be classified as either the numerator or the denominator. The number above the division line is the numerator, while that below the line is the denominator. Some types of fractions are proper fractions, improper fractions, and mixed fractions.
A given fraction can undergo basic arithmetic operations when two or more are involved. Also, a fraction can be added to one another, or subtracted from a whole number.
The given expression in the question involves the addition of a whole number (3), to a fraction (b/d).
Given: 3 + b/d
The LCM is d, thus;
3 + b/d = [tex]\frac{3d + b}{d}[/tex]
Therefore, the required answer is: [tex]\frac{3d + b}{d}[/tex]
For more clarifications on arithmetic operations on fractions, visit: https://brainly.com/question/21561198
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