1. Simplify 2/3x to 2x/3
2x/3 = 4
2. Multiply both sides by 3
2x = 4 * 3
3. Simplify 4 * 3 to 12
2x = 12
4. Divide both sides by 2
x = 12/2
5. Simplify 12/2 to 6
x = 6
4x−4<8 AND 9x+5>23 Solve for X.
Hope this will help u...☝✌✌✌✌
The recursive formula to describe a sequence is shown below
a1=4
an=an-1+2n
State the first four terms of this sequence.
Given that the recursive formula for a sequence is [tex]a_n=a_{n-1}+2n[/tex]
The first term of the sequence is [tex]a_1=4[/tex]
We need to determine the first four terms of the sequence.
Second term:
The second term of the sequence can be determined by substituting n = 2 in the recursive formula.
Thus, we have;
[tex]a_2=a_{2-1}+2(2)[/tex]
[tex]a_2=a_{1}+2(2)[/tex]
[tex]a_2=4+4[/tex]
[tex]a_2=8[/tex]
Thus, the second term of the sequence is 8.
Third term:
The third term of the sequence can be determined by substituting n = 3 in the recursive formula.
Thus, we have;
[tex]a_3=a_{3-1}+2(3)[/tex]
[tex]a_3=a_{2}+2(3)[/tex]
[tex]a_3=8+6[/tex]
[tex]a_3=14[/tex]
Thus, the third term of the sequence is 14.
Fourth term:
The fourth term of the sequence can be determined by substituting n = 4 in the recursive formula.
Thus, we have;
[tex]a_4=a_{4-1}+2(4)[/tex]
[tex]a_4=a_{3}+2(4)[/tex]
[tex]a_4=14+8[/tex]
[tex]a_4=22[/tex]
Thus, the fourth term of the sequence is 22.
Hence, the first four terms of the sequence is 4, 8, 14, 22.
The measure of 2 ACD is 147º and the measure of Z BAC is 29º. What is the measure of Z ABC?
(not drawn to scale)
Answer:
Answer is option c) 118 degrees
Step-by-step explanation:
[tex]the \: exterior \: angle \: is \: equal \: to \: the \: \\ sum \: of \: the \: opposite \: interior \: angles \\ by \: using \: this \: concept \: \: we \: find \: that \\ angle \: abc \: is \: 118 \: degrees.[/tex]
If you have any doubts see the image. or write in comments box.
HAVE A NICE DAY !
Find the equation of the line that is perpendicular to the line x = −5 and passes through the point (1, 3.14).
A) y = 3.14
B) y = 3.14x
C) y =
1
5
x
D) y = −5x
Answer:
A
Step-by-step explanation:
Perpendicular to x = -5 is going to be a horizontal line.
Since it passes through (1,3.14),
Equation is y = 3.14
please help me asap!!!!
Answer:
125
Step-by-step explanation:
5 × 5 × 5 = 125
Hope that helped.
Answer:
125
Step-by-step explanation:
5^3 is equivilent to 5*5*5
5*5=25
25*5=125
Two linear functions are combined with addition, and then the same two linear functions are combined by multiplication.
Which functions could be the result of the combinations? Select two options.
16x - 12
17x - 12
72x? - 96x
72x2 - 108
72x2 - 204x + 144
Adding two linear functions results in a linear function, which could be represented as '16 x - 12' or '17 x - 12'. Multiplying two linear functions results in a quadratic function, which could be represented as '72 x² - 204 x + 144'.
Explanation:In this scenario, when the two linear functions are being combined by addition and multiplication, it results in an expression that could be either linear or quadratic. When you add two linear functions together: f(x) = ax + b and g(x) = cx + d, the result is also a linear function: h(x) = (a+c)x + (b+d). Therefore, both 16 x - 12 and 17 x - 12 could be the result of an addition of two linear functions.
However, when you multiply two linear functions, you get a quadratic function: i(x) = (ax + b)(cx + d) = acx^2 + (ad+bc)x + bd. So 72 x² - 204 x + 144 could be the result of a multiplication of two linear functions.
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Wendy already owns 4 necklaces, and additional necklaces are priced at 1 for a dollar. How
much money does Wendy need to spend on new necklaces in order to own a total of 26
necklaces?
Answer:
$22
Step-by-step explanation:
If she wants to own 26 necklaces. You take that number and subtract the four she already owns, leaving you with 22.
Answer:
She needs to spend $22.
Step-by-step explanation:
She has 4 necklaces. In order to have 26, she needs to buy more necklaces. How many does she need to buy?
We subtract 4 from 26.
26 - 4 = 22
She needs to buy 22 necklaces to have a total of 26 necklaces.
Each necklace costs $1.
22 necklaces cost 22 times $1.
22 * $1 = $22
Answer: She needs to spend $22.
2. The 120 sixth graders are going on a
field trip to the museum. The museum
requests a ratio of students to adult
chaperones of 8:1. How many adult
chaperones will be needed?
Answer:
15 chaperones
Step-by-step explanation:
(24y + 2x)divide(1/4z
Answer:
96y/z + 8x/z
Step-by-step explanation:
hope this helped
Find the slope of the line that passes through -2,5 and -1,1
Answer:
m= -4
Step-by-step explanation:
use the slope formula m=rise/run y2-y1/x2-x1
3. What is the correct factorization of x2 – 2x – 15?
Answer:
(x+3)(x−5)
Step-by-step explanation:
to factor, simply just think of what two numbers multiplied together would give you -15 but added together give you -2. since the produce is negative, you know one number is positive, and one is negative, and since the sum is also negative, you know that the larger root is negative
Hope this will help u..☝✌✌
Integer Operation:
Adding Integers
1) 85 + (-96) =
Anytime your adding a negative number, its the same as subtract a positive number.
85 + (-96) → 85 - 96
85 - 96 = -11
Best of Luck!
solve the system of equations -x-y=-4 and -2x+4y by combining the equation
Answer:
×=8/3 and y=4/3
Step-by-step explanation:
-x-y=-4
-2x+4y=0
-2x=-4y
x=2y
so -2y-y= -4 and x= 2•4/3
-3y=-4 x=8/3
y=4/3
Can someone help me please
Answer:
q<5
Step-by-step explanation:
Since the line goes to the left of 5, q must be less than 5.
The open circle on 5 means that it cannot include 5.
Therefore, q is less than (<) five
Part B: If Taylor and Miley both
work for 2 weeks, how much more
will Taylor earn?
Answer: $661.50
Step-by-step explanation:
Taylor makes $771.25 per week and makes twice that much in two weeks.
2×771.25=2(700+70+1+0.25)=1400+140+2+0.50
So Taylor makes $1542.50 in two weeks.
Miley makes $440.50 per week and so will make $881 in two weeks. Since
1542.50−881=742.50−81=741.50−80=701.50−40=661.50
We know that Taylor will make $661.50 more than Miley in two weeks.
Hope this helps!
$300 invested at 12% compounded monthly after a period of 1.5 years
Answer: $358.8 to the nearest tenth
Step-by-step explanation:
Compound interest is calculated by Where: A = P(1 + r)t
Where P= 300, r= 12% = 0.12, t= 1.5 years
Slot in the figures
300 (1 + 0.12) 1.5
300 (1.12) 1.5
300x 1.12
336e1.12
A = $ 358.84
Solve the equation
−3(x + 8) − x = 2(2x − 7)
Answer:
-4x-24=4x-14 x is 1
Step-by-step explanation:
solved in my head. please give me brainliest!!!!!
If you are looking for x it would be 1
Need this done ASP, What is trhe volume of the cone?
Answer:
490pi/3
Step-by-step explanation:
The volume of the cone is V=1/3*b*h, as shown in the image. The height is 10, the base is pi*radius^2, and the radius is 7 making V=1/3*10*pi*7^2 or 490pi/3 after the calculations
A circle has a circumference of 6. It has an arc of length 17/3. What is the central angle of the arc, in degrees?
Answer:
340 degrees
Step-by-step explanation:
So the key thing here is to notice that we are given the circumference which will allow us to find a value for the radius of the circle and hence the angle subtended by the arc (the central angle).
So the circumference of a circle = 2pi(r)
This means:
6 = 2pi(r)
Which means that
r = 6/2pi or r = 3/pi
Now we can use this value of r to find our angle in conjunction with the value of the arc length. So:
Arc length is defined by: length = θr
Where θ is our angle value.
So lets plug in:
[tex]\frac{17}{3} = (angle)\frac{3}{\pi }[/tex]
Multiply by pi to get:
[tex]\frac{17\pi }{3} = 3(angle)[/tex]
Divide by 3 to get that:
θ = 17pi/9
So if we convert that from radians to degrees we get 340 degrees.
Which property was applied to create this equivalent expression?
7 x + (5 + 6 x) right-arrow (7 x + 5) + 6 x
A.the commutative property only
B.the associative property only
C.the distributive property only
D.both the commutative property and the associative property
Answer:
wrong it is B.the associative property only
Step-by-step explanation:
what is the value of 4(3x + 5) when x = 11?
Answer:
152
Step-by-step explanation:
3(11)= 33
4(33+5)
4(33)=132
4(5)=20
132+20=152
The value of the expression 4(3x + 5) when x = 11 is 152. This was calculated by replacing x in the equation with 11, simplifying the resultant equation and finally calculating the product.
Explanation:The student has asked to compute the value of 4(3x + 5) when x = 11. This a problem in the field of Algebra, where 'x' is a variable and the equation 4(3x + 5) is an expression.
First, let's substitute x in the equation with 11. So the equation becomes 4(3*11 + 5). Let's simplify the equation. This gives us 4(33 + 5), which equals 4*38. Multiplying 4 by 38 gives us the final answer, 152.
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Find the value of x in the triangle shown below
john is 3 times as old as susan. Mark is 5 years younger than john the sum of their ages is 30. how old is susan
Answer:
Susan is 5 years old
Step-by-step explanation:
Make a system of equations based on the info:
J=3S
M=J-5
J+M+S=30
Since we have the value of J, plug it in to either equation:
M=3S-5
Same deal with M:
3S+3S-5+S=30
7S-5=30
7S=35
S=5
So Susan is 5 years old
Help with any please!
Answer:
1. A
2. 128°
3. 112°
4. 20°
5. 125°
6. 35°
7. 158°
8. 140°
9. B
10. C
Solve t. Soving proportion 7-3=4-t t=
Answer:
t = 0
Step-by-step explanation:
Step 1: Solve for t
7 - 3 = 4 - t
4 - 4 = 4 - t - 4
0*-1 = -t*-1
0 = t
Answer: t = 0
8(4x + 6) what is the answer
Answer:
32x+48
Step-by-step explanation:
All that is needed to be done here is to multiply each digit inside the bracket by 8. We can even expand it to make it simpler to understand.
8(4x)+8(6)
8(4x)=32x
8(6)=48
We therefore have as our answer
32x+48
is -3 1/2 a rational number
Answer:
yes
Step-by-step explanation:
Yes, -3 1/2 is a rational number.
We have,
A rational number is any number that can be expressed as a fraction, where both the numerator and the denominator are integers.
-3 1/2 can be expressed as the fraction -7/2, where -7 is the numerator and 2 is the denominator.
Both -7 and 2 are integers, so -3 1/2 is a rational number.
Thus,
Yes, -3 1/2 is a rational number.
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A model of a barn is composed of a cube and a triangular prism. The dimensions of the model of the barn are shown. What is the surface area, in square centimeters, of the model?
a 3,000
b 3,048
c 3,504
d 3,624
Answer: c
Step-by-step explanation:
you must have not known the questions for the connections acadamy benchmark i may be your classmate
What is the slope of a line perpendicular to the line whose equation is y= 2x + 5?
slope = -1
Slope = -1/2
slope = -2
Answer:
The slope is -1/2 which is Option B
Step-by-step explanation:
A line that is perpendicular to another has the slope that has the sign reversed and is the reciprocal.
Example: Find the line perpendicular to y = 3x
First, you flip the sign which makes 3 into -3
Next, you make the reciprocal which makes -3 into -1/3
Problem: Find the line perpendicular to y= 2x + 5
First, you flip the sign which makes 2 into -2
Next, you make the reciprocal which makes -2 into -1/2
Answer: The slope is -1/2 which is Option B
The slope of a perpendicular line is the opposite reciprocal of the slope of the original line.
Opposite → -2
Reciprocal → -1/2
Therefore, the answer is -1/2
Best of Luck!
A painter estimates she can paint a house in 40 hours. She knows her assistant can do the same job is 60 hours. How long would it take them to paint the house working together?
24 hours
Step-by-step explanation:
1 hour
Painter1 1/40
Painter2 1/60
together 1/40+1/60=5/120=1/24
The time it would take them to paint a house working together is 24 hours.
How are number of people to time needed to complete a task related?(WORK DONE)More people to do a task means less time it will take.
Less people to do a task means more time it will take.
Thus, they are inversely related.
If x men take y time for a work,
We can define a constant as "Manpower" needed for doing that specific work.
Let we define:
Manpower needed for a work = y + y + y + .. + y = Time per man × count of men
Manpower needed for a work = xy
We are given that;
Time = 40hours
Time for her assistant= 60hours
Now,
First, let’s find their individual rates. The painter can paint 1/40 of a house per hour and the assistant can paint 1/60 of a house per hour. To find their combined rate, we add these fractions:
1/40 + 1/60 = 3/120 + 2/120 = 5/120
This means that together they can paint 5/120 of a house per hour. To find how long it would take them to paint one whole house (or 1/1), we use the formula:
Work done = Rate × Time 1/1 = (5/120) × Time Time
= (120/5) × (1/1) Time
= 24 hours
Therefore, by work and time the answer will be 24 hours.
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