Answer: X= 7.5
Step-by-step explanation:
You have to add the like terms 24+37 which gives you 61. Then subtract 76-61 which is 15. Then divide 15/2 which is 7.5
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3(x + 7) = 3x + 21 is an example of which property?
Associative Property
Identity Property
Distributive Property
Commutative Property
Answer:
Identity property
Step-by-step explanation:
Rewrite in simplest rational exponent from √x × [tex]\sqrt[4]{x}[/tex]
Answer:
4x
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of known factors.
If 9^x = 3^( 1-2x), then x =
Answer:
[tex]\frac{1}{4}[/tex]
Step-by-step explanation:
I used a calculator and it's correct!
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<Jayla>
Solve the inequality -4(x + 4) > x + 7. Give your answer as an interval.
Step-by-step explanation:
hope this answer will help you
the measure of the supplement angle is 24 more than three time the measure of the original angle. find the measures of the angles.
Step-by-step explanation:
Let x° be the original angle. Then the supplement angle is (180 - x)° and (180 - x) = 3x + 24.
180 - x = 3x + 24
4x = 156
x = 39
Hence the original angle is 39° and the supplementary angle is 141°.
The angles are 39° and 141°.
What is a complementary angle ?Two angles are said to be complementary to each other when their sum is 90°
According to the given question
The measure of the supplement angle is 24 more than the measure of the original angle.
Let the original angle be x
So from the given data it's supplement angle is 3x + 24.
We know two angles are supplementary when their sum is 180°.
∴ x + 3x + 24° = 180°
4x = 156°
x = (156/4)°
x = 39°.
So, the original angle is 39° and it's supplementary angle is 141°.
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8X - 17 +5X - 3 = 71
Answer: x=7
Step-by-step explanation:
got it right on edg
Answer:
x = 7
Step-by-step explanation:
8x - 17 + 5x - 3 = +71
13x - 20 = +71
+ 20 = +20
13x = 91
13x/13 = 91/13
x = 7
Which of the following shows how to Rewrite 8 - 9 using additive inverse
Answer: 1
8-9=-1
-1 additive inverse is 1
Simplify 2x(3x-1)+4(1-3x)
Answer:
[tex]6{x}^{2} - 2x + 4 - 12x =6 {x }^{2} - 14x + 4[/tex]
The simplified expression of 2x(3x - 1) + 4(1 - 3x) is 6x² + 4 - 14x
How to simplify the expressionFrom the question, we have the following parameters that can be used in our computation:
2x(3x - 1) + 4(1 - 3x)
When the brackets are opened, we have
2x(3x - 1) + 4(1 - 3x) = 6x² - 2x + 4 - 12x
Evaluate the like terms
so, we have the following representation
2x(3x - 1) + 4(1 - 3x) = 6x² + 4 - 14x
Hence, the simplified expression is 6x² + 4 - 14x
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Can y’all help me my time is almost over I need this ASAP and I’ll give brainliest
Answer:
Based on the question. D, would make the most sense.
Solve the system by substitution.
- 8x + y = -32
- 3x – 10 = y
(,)
Answer:
[tex]x=2,\:y=-16[/tex]
Step-by-step explanation:
[tex]\begin{bmatrix}-8x+y=-32\\ -3x-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:x\:\mathrm{for}\:-8x+y=-32:\quad x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}x=-\frac{-32-y}{8}\\\begin{bmatrix}-3\left(-\frac{-32-y}{8}\right)-10=y\end{bmatrix}\\\\Simplify\\\begin{bmatrix}\frac{3\left(-32-y\right)}{8}-10=y\end{bmatrix}\\\\\mathrm{Isolate}\:y\:\mathrm{for}\:\frac{3\left(-32-y\right)}{8}-10=y:\quad y=-16\\\\\mathrm{For\:}x=-\frac{-32-y}{8}\\\\\mathrm{Subsititute\:}y=-16\\x=-\frac{-32-\left(-16\right)}{8}\\[/tex]
[tex]-\frac{-32-\left(-16\right)}{8}=2\\x=2\\x=2,\:y=-16[/tex]
Answer:
x = 2
y = -16
Step-by-step explanation:
Substitute value of y, -3x - 10 in the equation-8x + y = -32
-8x + (-3x - 10) = -32
-8x - 3x - 10 = -32
-11x - 10 = -32
-11x = -32 + 10
-11x = -22
Divide both sides by coefficient of x which is -11
x = 2
Substitute value of x, 2, in the equation-3x - 10 = y
(-3)2 - 10 = y
-6 - 10 = y
y = -16
Your school club has a bake sale to raise money. Your club offers muffins for $.50 each and bagels for $.75 each. In one hour you raise $21 by selling 34 items. How many muffins did you sell?
Answer:
18 muffins
Step-by-step explanation:
From the information given, you can write the following equations:
x+y=34 (1)
0.50x+0.75y=21 (2)
where x is the number of muffins and y is the number of bagels.
First, you can isolate x in (1):
x=34-y (3)
Then, you can replace (3) in (2):
0.50(34-y)+0.75y=21
17-0.5y+0.75y=21
0.25y=21-17
0.25y=4
y=4/0.25
y=16
Now you can replace the value of "y" in (3):
x=34-16
x=18
According to this, the answer is that you sold 18 muffins.
Kyra and James each drowa
representation of the relationship between
rotond (A) and irrotond (B) number
shown below
KYRA
JAMES
WALN UMRERS REL NUMBERS
B
B
Whose do you agree with, and why?
Answer:
Kyra is correct.
Step-by-step explanation:
Rational numbers;
All numbers which can be written in the form of [tex]\frac{p}{q}[/tex] are rational numbers.
Example: 1, 2, [tex]\frac{1}{2}[/tex], 1.414141....
Irrational numbers:
Numbers which are not in the form of [tex]\frac{p}{q}[/tex] are irrational.
Example: 1.234, π, √2
So rational and irrational numbers are two separate things.
But all positive and negative numbers are real numbers.
Real numbers may be rational or irrational both.
Therefore, Kyra's interpretation is correct.
what is the value of the expression 4x - 1 / 2 y + x when X is 3 + y - 3
Solve the simultaneous equation.......2x + 10y = 50 (equation 1) and 1.5x + 25y = 90 (equation 2)
Step-by-step explanation:
2x + 10y = 50 ... 1
1.5x + 25y = 90 ...2
...1 × 2.5
5x + 25y = 125 ...3
...3 - ...2
3.5x = 35
x = 10
replaced x = 10 in ...1
2(10) + 10y = 50
20 + 10y = 50
10y = 50 - 20
10y = 30
y = 3
Which describes reproducibility
GEOMETRY TRUE OR FALSE QUESTIONS
Answer:
True an angle is two intercepting line segments that share an point
False The definition of a square is it has to have four congurent angles ,sides and 2 sets of parallel lines.
Step-by-step explanation:
b) through (2,9) and parallel to y = 3x - 2
Answer:
y = 3x+3
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Plz help me Much appreciated.
Question one, how do you solve this? "A, B, and C are collinear. Find AC if AB = 12 and BC = 8"
Question two, can anyone solve these two problems i attached? They use Segment Addition and Angle Addition Postulates.
Answer:
20''Step-by-step explanation:
If points A, B and C are collinear, then A, B and C lies on the same straight line. Hence AB+BC = AC
Given
AB = 12''
BC = 8''
To get length od segment AC, we will substitute the given values into the formula above as shown;
AB+BC = AC
12 + 8 =AC
AC = 12+ 8
AC = 20''
Hence the length of AC is 20''
Which inequality shows a correct relationship? A 0.203 > 0.085 B 0.870 < 0.706 C 0.374 > 3.740 D 0.725
Answer:
The answer is A (0.203 > 0.085)
Which inequality represents the values of x that would allow Pattie's Produce to have a daily revenue of at least $255 from selling the packages of strawberries? A. B. C. D.
Answer:
[tex]x \geq 255[/tex]
Step-by-step explanation:
The options are not visible; however the question can still be solved
Given
Least Value = $255
Required
Determine the inequality
When the phrase "at least" is used, the its direct representation is the mathematical symbol [tex]\geq[/tex]
So: At least 255 means
[tex]\geq 255[/tex]
Representing the values with variable x, the complete inequality becomes
[tex]x \geq 255[/tex]
Zero can be classified as all of the following except which? A. Whole B. Rational C. Integer D. Natural
Answer:
Zero can be classified as a: Whole number, Rational number, and integer.
Step-by-step explanation:
Zero cannot be classified as a natural number because it does not have a positive or negative value.
I hope this helps! Good luck!
Zero is not classified as a D. Natural number
Zero can be quite complicated to place when it comes to numbers but it is generally agreed that zero is:
a whole number and is the smallest one an integer because it is a whole number a rational number because it is an integerThere is however some contention about whether zero is a natural number but most mathematicians have conclusively stated that zero is not a natural number.
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Determine whether the given description corresponds to an experiment or observational study.a. A stock analyst selects a stock from a group of twenty for investment by choosing the stock with the greatest earnings per share reported for the last quarter.b. A marketing firm does a survey to find out how many people use a product. Of the one hundred people contacted, fifteen said they use the product.c. A political pollster reports that his candidate has a 10% lead in the polls with 10% undecided.d. A doctor gives a new medication to half of his patients with the flu and a placebo to the other half of his patients with the flu.
Answer:
A: experiment
B: observational study
C: observational study
D: experiment
Step-by-step explanation:
-(1+7x)-6(-7-x)=36 I don't understand how to do this.
edit: nevermind i multiplied wrong, the other answer is right
Answer:
[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{x = 5}}}}}[/tex]
Step-by-step explanation:
[tex] \sf{ - (1 + 7x) - 6( - 7 - x) = 36}[/tex]
Distribute ( - ) sign through the parentheses
Similarly, distribute -6 through the parentheses
[tex] \dashrightarrow{ \sf{ - 1 - 7x + 42 + 6x = 36}}[/tex]
Collect like terms
[tex] \dashrightarrow \sf - 7x + 6x - 1 + 42 = 36[/tex]
[tex] \dashrightarrow \: \sf \: - x - 1 + 42 = 36[/tex]
The negative and positive integers are always subtracted but possess the sign of the bigger integer
[tex] \dashrightarrow{ \sf{ - x + 41 = 36}}[/tex]
Move 41 to right hand side and change it's sign
[tex] \dashrightarrow{\sf{- x = 36 - 41}}[/tex]
[tex] \dashrightarrow \sf \: - x = - 5[/tex]
Change the signs on both sides of the equation
[tex] \dashrightarrow \: \sf{x = 5}[/tex]
Hope I helped!
Best regards! :D
PLEASE HELP ASAP!!!!
Which statement describes the symmetry of j(x)?
j(x) is an odd function.
j(x) is an even function.
j(x) is both an even and an odd function.
j(x) is neither an even nor an odd function.
Answer:
j(x) is an odd function
Step-by-step explanation:
We are given;
j(x) = 220/x³ and j(-x) = 220/(-x)³
Now,
when x = 1;
j(x) = 220/1³ = 220/1 = 220
j(-x) = 220/(-1)³ = 220/-1 = -220
When x = 2;
j(2) = 220/2³ = 220/8
j(-2) = 220/(-2)³ = -220/8
Now, Algebraically, function j would be even if and only if j(-x) = j(x) for all x in the domain of j. While j is odd if and only if j(-x) = -j(x) for all x in the domain of j.
From the values gotten, we can see that :j(-x) = -j(x). Thus, we can say that j(x) is an odd function.
Answer:
A) j(x) is an odd function.
Step-by-step explanation:
x -22 = 30 what is x
Answer:
x=52
Step-by-step explanation:
x=30+22
x=52
Answer:
Move all terms not containing
X
to the right side of the equation.
X = 52
if <1 and <2 are supplementary angles, m<1=4x° and m<2=8x° then whats the measures of 1 and 2
Answer:
angle 1 = 60 degrees
angle 2 = 120 degrees
=====================================================
Explanation:
Supplementary angles always add to 180 degrees. In other words, the two angles form a straight line.
(angle1) + (angle2) = 180
4x+8x = 180
12x = 180
12x/12 = 180/12 .... dividing both sides by 12
x = 15
Use this x value to find the two angle measures
angle1 = 4x = 4*15 = 60
angle2 = 8x = 8*15 = 120
As a check, angle1+angle2 = 60+120 = 180, which confirms our answer.
The polynomial x^2 - 22x + 121 represents the area (in square feet) of a square courtyard. a.) write a polynomial that represents the side length of the courtyard.
b.) Write an expression for the perimeter of the courtyard.
Answer:
Step-by-step explanation:
Since the court yard is square in nature, the area of the court yard will be exprerssed as;
A = Length * Length
A(x) = L²
Given area of the court yard A(x) = x^2 - 22x + 121
x^2 - 22x + 121= L²
Factorizing the quadratic expression
(x^2 - 11x) -(11x+ 121) = L²
x(x-11)-11(x-11) = L²
(x-11)(x-11) = L²
(x-11)² = L²
Square root both sides to the length of the courtyard
√(x-11)² = √L²
L = x-11
Hence the length of the courtyard is (x-11)ft
b) The perimeter of the courtyard P = 4L
P = 4(x-11)
P = 4x - 44
Hence an expression for the perimeter of the courtyard is 4x-44 feet
What is the value of x in the equation 8x – 2y = 48, when y = 4
Answer:
Seven(7)
Step-by-step explanation:
8x-2y=48
8x-2(4)=48
8x-8=48
8x=48+8
8x=56
Divide both sides by 8
8x/8=56/8
x=7
The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arithmetic sequence?
Answer:
d = 4
Step-by-step explanation:
The n th term of an arithmetic sequence is
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₁ = - 2 and a₈ = 26 , then
- 2 + 7d = 26 ( add 2 to both sides (
7d = 28 ( divide both sides by 7 )
d = 4
Answer:
d = 4
Step-by-step explanation:
a₁ = -2
a₈ = aₙ = 26
n = 8
aₙ = a₁ + d(n-1)
d = aₙ - a₁ / (n-1)
d = 26 -(-2) / (8-1)
d = 26 + 2 / 7
d = 28 / 7
d = 4
-2
-2 + 4 = 2
2 + 4 = 6
6 + 4 = 10
10 + 4 = 14
14 + 4 = 18
18 + 4 = 22
22 + 4 = 26