Answer:
2x+3=11
2x=11-3
x=8/2
x=4........
Answer: \(x = 4\)
Step-by-step explanation:
Okay, so we start with our equation.
\(2x + 3 = 11\).
Then we need to get x alone. To do that we subtract the 3 on the side with the x.
But what we do to one side, we do to the other. So we subtract 3 from the 11 as well
2x + 3 = 11
-3 -3
2x = 8
Then we divide by 2 on both sides to get X.
\(\frac{2x}{2} =\frac{8}{2}\)
\(\frac{2x}{2} = x\)
\(\frac{8}{2} = 4\)
\(x = 4\).
Which side measures will not make a triangle
With a triangle, the sum of any two side lengths must be greater than the third side length. If this is not true, then the side lengths cannot make a triangle. Let's go through each set of side lengths and determine which would and wouldn't work.
a. 3, 4, 8 - will not make a triangle
3 + 4 = 7 > 8 = false
3 + 8 = 11 > 4 = true
4 + 8 = 12 > 3 = true
b. 7, 6, 12 - will make a triangle
7 + 6 = 13 > 12 = true
7 + 12 = 19 > 6 = true
6 + 12 = 18 > 7 = true
c. 5, 11, 13 - will make a triangle
5 + 11 = 16 > 13 = true
5 + 13 = 18 > 11 = true
11 + 13 = 24 > 5 = true
d. 4, 6, 12 - will not make a triangle
4 + 6 = 10 > 12 = false
4 + 12 = 16 > 6 = true
6 + 12 = 18 > 4 = true
e. 4, 6, 10 - will not make a triangle
4 + 6 = 10 > 10 = false
4 + 10 = 14 > 6 = true
6 + 10 = 16 > 4 = true
Hope this helps!
find the area of a rectangle with a length of 10 inches and a width of 4 inches
Answer:
40 in²---------------------
Formula for area of a rectangle with dimensions l and w is:
A = lwSubstitute 10 for l and 4 for w:
A = 10*4A = 40 in²
Helppp pleaseeeeeeweeeeeeee
Answer:
55°
Step-by-step explanation:
The angle is part of a 90° angle, so you do 90°-35° to get 55°.
Give branliest please. :)
Answer:
90 degrees - 35 degrees = x degrees, this will give you 55 degrees
Is the relation shown in
the table a function?
Explain.
The inputs 4 and 8 have more than one out, the relation is not a function.
Is the relation shown in the table a function?A relation is said to be a function if one input is mapped to one output.
that is, each x-value can only have one y-value.
From the table;
Input, output
4 ----- 1
8 ----- 3
4 ------5
8 ----- 4
4 is an input, it has an output of 1.
4 appeared again as input but this time has an output of 5.
This means one input has more than one output.
Also, 8 is an input, it has an output of 3.
8 appeared again as input but this time has an output of 4.
Which also means one input has more than one output.
Therefore, the relation is not a function.
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How to solve adjacent angles?
Answer:
D
Step-by-step explanation:
1 + 4x and 57° are corresponding angles and are congruent , so
1 + 4x = 57 ( subtract 1 from both sides )
4x = 56 ( divide both sides by 4 )
x = 14
5. A deli bought 45kg of tuna salad R1.48 per kg. In warm weather about 5kg usually spoil before they can be sold. What price per kg will give the desired profit of 40% of selling price?
The deli needs to sell the tuna salad at a price of R2.33 per kg to achieve a profit of 40% of the selling price after 5kg spoilage.
What price per kg will give the desired profit of 40% of selling price?A desired profit also known as target profit means expected amount of profit that the managers of a business expect to achieve by the end of a designated accounting period.
First, let's calculate the cost of the tuna salad the deli purchased:
= 45kg x R1.48/kg
= R66.60
How much tuna salad the deli has left after spoilage:
= 45kg - 5kg
= 40kg
To achieve a profit of 40% of the selling price, the selling price should be 140% of the cost price: which is:
= 140% of cost price
= 1.4 x R66.60
= R93.24
To find the price per kilogram, we divide the selling price by the remaining amount of tuna salad:
= Selling price / Remaining amount of tuna salad
= R93.24 / 40kg
= R2.33/kg
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Answer: 6 dolla per kg
Step-by-step explanation:
The dotplot below displays the difference in scores for 18 games between a high school soccer team and its opponent. A dotplot titled difference in Score. A number line going from negative 2 to 4 is labeled Team score minus opponent score. Negative 2, 1; negative 1, 2; 0, 2; 1, 3; 2, 6; 3, 3; 4, 1. What percentage of games were won by the high school soccer team? 17% 28% 72% 83%
Using the dot plot given, the Percentage of games won is approximately: C. 72%.
How to Interpret a Dot Plot?In a dot plot, each of the data points of a data distribution is plotted on a dot plot as a dot. The number of dots represents the frequency of each data value in the data distribution.
In the dot plot, there are 18 dots which represents the difference in scores from 18 games between the high school soccer team and its opponent. Therefore, it means that the data points that are above 0, represents the number of games that the soccer team won.
There are 13 out of the 18 games that have a score difference that is positive and greater than 0. This means, the team won 13 games.
Percentage of games won = 13/18 × 100
Percentage of games won ≈ 72%.
Therefore, using the dot plot given, the Percentage of games won is approximately: C. 72%.
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50 POINTS!!!
A full time student at AVC enrolled in 15 semester units consisting of lecture-classes
and lab-sessions. To earn C's and B's in all the lecture-classes and lab-sessions, the
student spent 39 hours every week at home practicing and studying. If the student
spent twice the time at home on their lecture-classes than they did on their lab-
sessions, how much time did this student spend at home practicing and studying for the lab-sessions?
Solve the word problem using two variables.
(this is like systems of equations stuff PLEASE HELP ASAP)
Answer:
It will take some time.
give me a days
i need help pls , if u do all of it ill like and give you the brainest
1. false
2. open
3. 5
hope dis helps
A right triangle A right triangle has a hypotenuse of 24 cm and a height of 16 cm. What is the approximate perimeter of the triangle?
The approximate perimeter of the right triangle is 57.89 cm.
To find the perimeter of the right triangle, we need to know the lengths of the other two sides.
Let's use the Pythagorean theorem, which asserts that the hypotenuse (the longest side) of a right triangle has a square whose sum is equal to the squares of the other two sides.
In this case, we know the length of the hypotenuse is 24 cm and the height (one of the other sides) is 16 cm. Let's call the third side x.
So we have:
\(24^2 = 16^2 + x^2\)
Simplifying, we get:
\(576 = 256 + x^2\)
Subtracting 256 from both sides, we get:
\(320 = x^2\)
Taking the square root of both sides, we get:
x ≈ 17.89
So the approximate perimeter of the triangle is:
P = 24 + 16 + 17.89 ≈ 57.89 cm
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Hoang has worked as a nurse at Springfield General Hospital for 5 years longer than her friend Bill. Two years ago, she had been at the hospital for twice as long. How long has each been at the hospital?
5 years longer then Bill, 2x5=10.
10+2=12.
12-5=7
Hoang has be there for 12 years. Bill has for 7 years.
You deposited $2,500 in a savings account
that yields 5% simple interest. You keep your
money in the account for 10 years. How much
interest will you earn?
我知道答案 但是如果你懂中文,我不知道怎么去掉这个语言回复
Given the following table of values for f(x), find f(5).
x −4 0 1 4 5 7
f(x) 3 −3 −3 −5 5 9
Check the picture below.
QUESTION 05 (10 points) - Sample Size Determination in Estimating Population Mean In this hypothetical scenario, you are working for a consumer protection agency. Your boss assigned you the task of conducting a survey on cheese burgers at a national restaurant chain. In your report, you would need to construct a 90% confidence interval for the mean weight of cheese burgers. Based on past surveys on cheese burgers at this restaurant chain, the standard deviation of weight is 0.21 pound. It is required that the maximum likely sampling error of mean weight be 0.05 pound. A cheese burger at the restaurant chain costs $1.29. What is the required budget in dollars (2 decimals) to have the cheese burgers in your sample, assuming no sales tax
Answer:
$ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
Step-by-step explanation:
Here
Z∝ =1.64
Standard Deviation=S= 0.21
Sampling Error= SE= 0.05
As Sampling Error is found by
SE= z * s/√n
√n= z*s/ SE
n= (z* s/ SE)²
We use the above formula to calculate N
N= ( Z * S/SE)²
N= (1.64 * 0.21/0.05)²
N= 28.9296= 28.93
Cost of N number of burgers
= Cost *N
= $1.29 * 28.93= $ 37.32 is the required budget in dollars (2 decimals) to have the cheese burgers in your sample
2(x + 3) ≥ 5x-6
what is x
Answer:
4
Step-by-step explanation:
2 (x +3) ≥ 5x - 6
2x + 6 ≥ 5x - 6
6 ≥ 3x - 6
12 ≥ 3x
\(\frac{12}{3}\) = 4
Use the discriminant to determine how many and what kind of solutions the quadratic equation 2x² - 4x = -2 has.
O two real solutions
Ono real or complex solutions
O two complex (nonreal) solutions
one real solution
The discriminant of the given quadratic equation is zero, which means that it has two real solutions.
What is a quadratic equation?
The polynomial equations of degree two in one variable of type
f(x) = ax² + bx + c = 0 and with a, b, c, ∈ R and a ≠ 0 are known as quadratic equations. It is a quadratic equation in its general form, where "a" stands for the leading coefficient and "c" is for the absolute term of f(x).
The discriminant's value reveals how many roots f(x) has:
- The quadratic function has two unique real roots if b² - 4ac > 0, otherwise it does not.
The quadratic function has one repeating real root if b² - 4ac = 0.
- The quadratic function has no true roots if b² - 4ac < 0.
The given quadratic equation is:
2x² - 4x = -2
2x² - 4x + 2 = 0
The general equation is :
ax² + bx + c = o
where discriminant is found using the formula b² - 4ac
Comparing the equations, we can write
a = 2
b = -4
c = 2
b² - 4ac = (-4)² - 4*2*2 = 16 - 16 = 0
Since the discriminant is equal to zero, it suggests that the quadratic equation has two equal real and rational roots.
Therefore the discriminant of the given quadratic equation is zero, which means that it has two real solutions.
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need help with this ASAP
!!!!!!!!!!!!!!!!!!!!!!!!
The fence in dead center is about 399 feet from the third base.
What is the Pythagorean Theorem?The Pythagorean Theorem states that in the case of a right triangle, the square of the length of the hypotenuse, which is the longest side, is equals to the sum of the squares of the lengths of the other two sides.
Hence the equation for the theorem is given as follows:
c² = a² + b².
In which:
c > a and c > b is the length of the hypotenuse.a and b are the lengths of the other two sides (the legs) of the right-angled triangle.For the triangle in this problem, we have that:
The sides are d ft and 90 ft.The hypotenuse is of 409 ft.Hence the distance is obtained as follows:
d² + 90² = 409²
\(d = \sqrt{409^2 - 90^2}\)
d = 399 ft.
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Find the largest 6-digit number which is divisible by 3, 4 and 5.
The largest 6-digit number which is divisible by 3, 4 and 5 is 999960.
What is the largest six digit number?
Now, the first step is to obtain the LCM of 3, 4 and 5. The term LCM is an acronym that means lowest common multiple. It is the lowest multiple that can be obtained from a group of numbers.
Now we have the LCM of 3, 4 and 5 as 60. We know that largest six digit number that we have is 999999. If we divide this value by 60 using the method of long division we will have a remainder of 39.
Thus, the largest 6-digit number which is divisible by 3, 4 and 5 = 999999 - 39 = 999960.
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If AC = 24, What is AB?
Answer:
AB = 6
Step-by-step explanation:
\(AB+BC=AC\\\\x+3x=24\\\\4x=24\\\\x=6\)
Therefore, AB = 6.
The symbol ⊕ is used to denote exclusive or, so p ⊕ q ≡ (p v q) ^ ~ (p ^ q).
a) simplify the statement p ⊕ p.
b) Show that p ⊕ q ≡ ~ (p ↔ q) without using a truth table.
So how would this be done?
I'll use text forms of the logical symbols because copying/pasting on mobile is annoying.
⊕ = XOR
∨ = OR
∧ = AND
~ = NOT
↔ = IFF (meaning "if and only if")
→ = IMP (short for "implies")
and for logical equivalence I'll use a regular equal sign.
Then
p XOR q = (p OR q) AND NOT (p AND q)
(a) By definition of XOR, we have
p XOR p = (p OR p) AND NOT (p AND p)
= p AND NOT p
and this is tautologically FALSE.
(b) To rewrite XOR, first distribute the NOT over the AND using DeMorgan's law:
NOT (p AND q) = NOT p OR NOT q
Then we can interchange the AND and ORs using their respective distributive properties. That is,
p XOR q = (p OR q) AND (NOT p OR NOT q)
= (p AND (NOT p OR NOT q)) OR (q AND (NOT p OR NOT q))
= ((p AND NOT p) OR (p AND NOT q)) OR ((q AND NOT p) OR (q AND NOT q))
Both (p AND NOT p) and (q AND NOT q) are tautologically FALSE, so the truth value of either OR depends only on the other statements, so we have
p XOR q = (p AND NOT q) OR (q AND NOT p)
Recall the definition of IFF:
p IFF q = (p IMP q) AND (q IMP p)
Also recall that IMP is logically equivalent to
p IMP q = p OR NOT q
Then we have
p IFF q = (p OR NOT q) AND (q OR NOT p)
so that its negation is
NOT (p IFF q) = NOT ((p OR NOT q) AND (q OR NOT p))
= NOT (p OR NOT q) OR NOT (q OR NOT p)
= (NOT p AND q) OR (NOT q AND p)
The statements in bold match, so p XOR q is indeed equivalent to NOT (p IFF q).
Find the midpoint of the line segment whose endpoints are (0, 1/2 ) and (0, 3/4).
A: 0,2/3
B: 0,5/8
C: 0, 1 1/4
Answer:
B: 0, 5/8
Step-by-step explanation:
First, add the abcissas (x coordinates).
0 + 0 = 0
Then, divide the result by 2.
0 divided by 2 = 0
Then, add the ordinates (y coordinates).
1/2 + 3/4 = 1 1/4
Then, divide the result by 2.
1 1/4 divided by 2 = 5/8
The midpoint is 0, 5/8
Use this formula to calculate compound interest:
Principal x (1 + Interest Rate)(Time)
$100
Interest Rate = 4%
Time= 5 years
Using the information above, how much money would you have after 5 years? Choose the answer that is closest to the exact answer.
The amount after 5 years on $100 using the compound interest is $122.
According to the question,
We have the following information:
Principal = $100
Interest Rate = 4%
Time= 5 years
We know that the following formula is used to find the total amount if there is compound interest:
Compound amount = \(P(1+\frac{r}{100})^{t}\) where P is the principal, r is interest rate and t is the time in years
(Note that there are different formulas for compound interest depending on how it is calculated.)
A = \(100(1+\frac{4}{100})^{5}\)
A = \(100(\frac{104}{100})^{5}\\100(1.04})^{5}\)
A = 100*1.22
A = $122
Hence, the amount after 5 years on $100 using the compound interest is $122.
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Given QN bisects MQP.
Based on the figure and the given information, which conclusion cannot be proven?
1. MQ = QP
2.m<1 = m<2
3. m∠LQN=135°
4.∠MQL≅∠PQM
The conclusion can not be proven is MQ ≅ QP.
What is bisector?
A line is split into two equal parts by a bisector. Therefore, when we refer to the perpendicular bisector of a line segment AB, we mean that it bisects or divides AB into two equal halves. It is perpendicular to AB or at right angles to it. The distance between each point on the perpendicular bisector from points A and B is equal.
Let QN bisects MQP
So the angle ∠1 and ∠2 are same.
⇒ ∠1 ≅ ∠2
Also
∠MQL and ∠PQM are right angles.
So, ∠MQL ≅ ∠PQM
As QN bisects MQP so ∠1 = ∠2 = 45°
⇒ ∠LQN = ∠LQM + ∠1 = 90° + 45° = 135°
We don't know the measure of MQ and QP.
So from figure we can not proven that MQ ≅ QP.
Hence, the conclusion can not be proven is MQ ≅ QP.
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3x+4=25 what does x stand for
Answer:
X=7
Step-by-step explanation:
3x+4=25 (Subtract 4 on both sides)
3x=21 (Divide by 3 on both sides)
x=7
Answer: x is a variable and the number the variable is standing for is 7
Step-by-step explanation:
3x7=21 .. 21+4=25
If an angle’s measure is 90° then it is said to be a ______angle?
Answer:
Right Angle
Step-by-step explanation:
Its a Right angle because if you see a square box on a 90 degree measurement then its a right angle.
Answer:
\(\boxed{\bold{\huge{\boxed{Right}}}}\)
Step-by-step explanation:
If an angle’s measure is 90° then it is said to be a Right angle.
When using re-grouping to solve 25 x 45, what are the four problems that would be calculated to find the final answer?
O20 x 40; 20 x 5; 40 x 5
O20 x 40; 5 x 40; 20 x 5; 5 x 5
20 x 40; 5 x 20; 20 x 5; 5 x 5
O 20 x 20; 40 x 40; 20 x 5; 5 x 5
HELP PLSSS☹️☹️☹️☹️☹️
The problem that would be calculated to find the final answer is 2) 20 x 40; 5 x 40; 20 x 5 ; 5 x 5 = 1125
Given,
When using re-grouping to solve 25 x 45, we have to find the problems that would be calculated to find the final answer;
Here,
25 × 45 = 1125
Now,
This is simply multiplicity;
1. 20 x 40: 20 x 5: 40 x 5
800 ; 100 ; 200
1100
This is not the problem.
2. 20 x 40; 5 x 40; 20 x 5 ; 5 x 5
800 ; 200 ; 100 ; 25
1125
This is the problem
3. 20 x 40 ; 5 x 20 ; 20 x 5 ; 5 x 5
800 ; 100 ; 100 ; 25
1025
This is not the problem
4. 20 x 20 ; 40 x 40 ; 20 x 5 ; 5 x 5
400 ; 1600 ; 100 ; 25
2125
This is not the problem
Therefore,
The problem that would be calculated to find the final answer is 2) 20 x 40; 5 x 40; 20 x 5 ; 5 x 5 = 1125
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-15>-11+w solve inequality for W
Answer:
Starting with:
-15 > -11 + w
Add 11 to both sides:
-15 + 11 > w
Simplifying:
-4 > w
Therefore, the solution for the inequality -15 > -11 + w, when solved for w, is:
w < -4
Calcular los 3/5 de los 2/3 de las 3/4 de 560
For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.
How to solve fractions?To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:
Step 1: Calculate 3/4 of 560:
3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420
Step 2: Calculate 2/3 of the result from Step 1:
2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280
Step 3: Calculate 3/5 of the result from Step 2:
3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168
Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.
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round 11/15 to the nearest tenth, hundredth, and thousandth
Answer:
3421.235
Step-by-step explanation:
just did it
Help I don’t understand!
As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of depression increases.
what is angle of depression?the arc formed as the line of sight drops from the horizon. The angle of depression is the angle formed when an object is perceived below the observer's height between the horizon and the line of sight of the observer. The depression angle is the angle formed between the line of sight looking down at the object and the horizontal line of sight. If you are on a hill or a building and you are looking down at something, you can tell the slope. To measure these angles, a theodolite or an inclinometer might be employed.
As the elevator climbs, the angle of depression to a certain spot on the lobby floor alters. Angle of the depression increases.
∠x = 65° ≤ ∠XYZ
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