Answer:
2x - 3 = 5(x + 6)
2x - 3 = 5x + 30
-33 = 3x
x = -11
Answer:
x= -11
Step-by-step explanation:
1. Expand and distribute.
2x - 3 = 5x + 30
2. Subtract 2x from both sides.
2x - 3 = 5x + 30
-2x -2x
---------------------
-3 = 3x + 30
4 Subtract 30 from both sides.
-3 = 3x + 30
-30 -30
---------------------
-33 = 3x
6. Divide both sides by 33.
-33/3 = 3x/3
-11 = x
7. Switch sides
x = -11
Andrew has $550 in a savings account that earns 5 % annually. How much will he earn in interest in 4 years?
Use the formula = , where is the interest earned, is the principal (starting amount), is the interest rate expressed as a decimal, and is the time in years.
$110
Step-by-step explanation:
formula= P×T×R ÷ 100
550×4×5÷100
55×4×5÷10
1100÷10
$110
A researcher calculated sample proportions from two independent random samples. Assuming all conditions for inference are met, which of the following is the best method for the researcher to use to estimate the true difference between the population proportions?
Answer:
A) Construct a two-sample z -interval for the difference between population proportions.
A club has 800 members.
100 of the members were randomly picked and were asked if the dues should be
raised.
6 of the members said that dues should be raised.
Based on these results, about how many members in the club would be expected to say
that dues should be raised?
A. 14
B. 42
C. 48
D. 66
Answer:
C-48
Step-by-step explanation:
Around 48 individuals would be required to say that contribution be raised
Bit by bit clarification:
Here, we will utilize an instance of a delegate testing to decide the real.
Out of the 100 chose individuals, 6 said the levy ought to be raised;
This addresses a level of 6/100 = 6%
So out of the 800, the normal number of individuals that would request a levy raising will be;
6/100 * 800 = 48
how much of a circle does a 100 degree angle turn through
Answer: 5/18
Step-by-step explanation: A circle is 360 degrees so if you are turning 100 degrees... you would get 100/360 of the way around the circle.
100/360 = 5/18
1.6
Study the following temperature conversions and answer the questions that
follow
°C =( °F 32°C) = 1.8
OF = (1,8 x °C) + 32
The melting point of ice is 0°C, what is this temperature in degrees
2
1.7
Fahrenheit?
2
1.8
Determine the temperature in degrees Celsius if the temperature is 95°F
[12]
Answer:
a. 0°C = [tex]32^{o}[/tex]F
b. 95°F = [tex]35^{o}[/tex]
Step-by-step explanation:
a. The temperature of melting point of ice (0°C) in degrees Fahrenheit can be determined as;
OF = (1.8 x °C) + 32
= (1.8 x 0) + 32
OF = 32
Thus the temperature is [tex]32^{o}[/tex]F.
b. 95°F in degrees Celsius can be determined by;
°C = ( °F - 32) ÷ 1.8
= (95 - 32) ÷ 1.8
= 63 ÷ 1.8
°C = [tex]35^{o}[/tex]
Thus the temperature is [tex]35^{o}[/tex]C.
HELPPPP MEEEEEEEEEEEEEEEEE
Answer: what you need
Step-by-step explanation:
What S the value of x?
Enter
your answer in the box.
X :
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
8, 17, 19
Acute
Obtuse
Right
Answer:
Obtuse
Step-by-step explanation:
Pythagorean thm:
a² + b² = c²
8² + 17² = 19²
64 + 289 = 361
353 = 361
Since c (the hypotenuse) is bigger than the legs combined, the triangle is obtuse.
The ratio of the length to breadth
of a room is 7:5. Find the length
of the room if the breadth is
10m
Answer:
14m
Explanation:
10 ÷ 5 = 2
2 × 7 = 14
Someone please help! I dont understand
Answer:
i willl help on all three if u help on my chemistry problems
Brainlyest FOR BEST ANSWER thank u
Answer: B
Step-by-step explanation:
To calculate the mean (average) of a list of numbers, simply add up the numbers and divide by the number of numbers
Ava swam for 154 minutes during her first week of vacation. In her two weeks of vacation, she swam for a total of 357 minutes. How many more minutes did she swim for in the second week than in the first week?
Sort the information from the problem. What do we know? What do we need to figure out?
Answer:
203 more minutes
We know she swam 154 min in first week.
And in two weeks she swam 357 minutes.
We need to figure out x (total of minutes swam in week two)
So do 357=x+154
Subtract 154 from both sides
x=203
Hope this helps
write down all prime numbers between 20 and 40
Answer:
23,29,31,37
Step-by-step explanation:
simplify the following
(4x + 3) (5x + 2)
Answer:
20x^2+23x+6
Step-by-step explanation:
(4x+3)(5x+2)
(4x)(5x)+2(4x)+(5x)3+3(2)
20x^2+8x+15x+6
20x^2+23x+6
Hope that helps :)
Answer:
20x^2 + 23x + 6
Step-by-step explanation:
4x (5x + 2) + 3(5x + 2)
20x^2 + 8x + 15x + 6
20x^2 + 23x + 6
Identify the asymptotes of the rational function.
1
6x-6
-5
The rational function has a horizontal asymptote at y = 0.
To identify the asymptotes of the rational function, we need to analyze the behavior of the function as the input approaches certain values.
First, let's consider the vertical asymptotes. Vertical asymptotes occur when the denominator of the rational function equals zero, causing the function to become undefined.
Setting the denominator equal to zero:
6x - 6 = 0
Solving for x:
6x = 6
x = 1
Therefore, the rational function has a vertical asymptote at x = 1.
Next, let's examine the horizontal asymptote. To determine the horizontal asymptote, we compare the degrees of the numerator and denominator.
The degree of the numerator is 0 (a constant), and the degree of the denominator is 1 (linear). Since the degree of the denominator is greater than the numerator, the horizontal asymptote is at y = 0 or the x-axis.
Therefore, the rational function has a horizontal asymptote at y = 0.
In summary, the rational function has a vertical asymptote at x = 1 and a horizontal asymptote at y = 0 (the x-axis).
for such more question on rational function
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LOOK AT THE PHOTO PLS
Answer:
I'm think its parallel ||
A hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days. The data she collected is shown on the graph.
The manager recognizes that the data approximates a transformation of the parent sine function, .
Which value is closest to the amplitude of the transformed function?
Answer:
D. 15
Step-by-step explanation:
I just took the test lol
The amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
What is sin function?It is defined as the function which is sinusoidal in nature, and it has a domain of all real numbers and lies between the [a, a] where is a amplitude of the function.
We have hotel manager recorded the percentage of rooms that were occupied each day over a period of 25 days.
As we can see in the graph, it is sin graph and the maximum value it attends is 15(=70-55)
And the minimum value is attends is -15(=40-55)
The graph will be:
y = 15sinx
a = 15
Thus, the amplitude of the function is 15 if the data approximates a transformation of the parent sine function option (D) is correct.
Learn more about the sin function here:
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Help me please I’m not smart -
write an expression for the quotient of 9 and c
Answer:
[tex]\frac{9}{c}[/tex]
Step-by-step explanation:
QUESTION: Find the value of "A'' in the set of the supplementary angles... if you dont know dont answer i will give brainlist for it
Answer:
the picture isnt loading. it says error.
Step-by-step explanation:
Please help me thanks y’all
[tex]h^{2}=6*6\\h^{2}=36\\h=6\\and\\ y=45[/tex]
Solve 4r2 – 5 = 59
{± 3}
{± 4}
{± 5}
{±6}
9514 1404 393
Answer:
(b) ±4
Step-by-step explanation:
4r^2 -5 = 59 . . . . given
4r^2 = 64 . . . . . . . add 5
r^2 = 16 . . . . . . . . . divide by 4
r = ±4 . . . . . . . . . . . take the square root
write 9/6 as a mixed number
9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
To write 9/6 as a mixed number, we need to divide the numerator (9) by the denominator (6).
When we divide 9 by 6, we get a quotient of 1 and a remainder of 3.
So, 9 divided by 6 is 1 with a remainder of 3.
We can express this as a mixed number by combining the whole number and the fraction:
1 + 3/6
However, the fraction 3/6 can be simplified. Both the numerator and denominator share a common factor of 3.
Dividing both by 3 gives us:
1 + 1/2
Now, we have the whole number part (1) and the proper fraction part (1/2).
Putting it all together, the mixed number representing 9/6 is: 1 1/2
Therefore, 9/6 can be written as the mixed number 1 1/2.
This means there is 1 whole unit and 1/2 (or half) remaining.
So, 9/6 as a mixed number is 1 1/2.
To learn more on division click:
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Hi! I’ve already gotten this far, and found the value of x, but how would I go about finding the value of y from here?
Answer:
y=1 and x = 2
Step-by-step explanation:
Given equations are :
2x-2y = 2 ....(1)
5x+2y= 12 .....(2)
Adding equation (1) and (2),
2x+5x = 2+12
7x = 14
x = 2
Put the value of x in equation (!).
2(2)-2y = 2
4-2y=2
2=2y
y=1
So, the values of x and y are 2 and 1 respectively.
A Ferris wheel is 35 meters in diameter and boarded from a platform that is 3 meters above the ground. The six o'clock position of the Ferris wheel is level with the loading platform. The wheel completes one revolution in 8 minutes. The function, h(t), gives your height in meters above the ground t minutes after the wheel beings to turn. How high are you off the ground after 6 minutes
Answer:
height = 20.5068 m
Step-by-step explanation:
Given the data in the question;
First, lets calculate the amplitude, midline and period of 8minutes
Amplitude = 35 / 2 = 17.5
|A| = 17.5
A = - 17.5 { since the wheel starts at 6 o clock }
midline C = (35/2) + 3
C = 17.5 + 3
C = 20.5
And period is 8 minutes
⇒ 2π/B = 8
8B = 2π
B = 2π/8 = π/4
So our equation will be in the form of;
y = h(t) = Acos(B×t) + C
∴ h(t) = -17.5cos( π/4×t) + 20.5
Now, How high are you off the ground after 6 minutes
⇒ height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( π/4 × 6) + 20.5
height = -17.5cos( 4.71238898) + 20.5
height = -17.5 × cos( 4.712) + 20.5
height = -17.5 × -0.00038898 + 20.5
height = 0.0068 + 20.5
height = 20.5068 m
PLEASE HELPPPPPP ASAPPP
I WILL GIVE BRAINLEST FOR THE CORRECT ANSWER
Answer:
a. Find the multiples of 4 and 12 in the 30 to 40 range:
4 ⇒ 32, 36, 40
12 ⇒ 36
Answer = 36
b. Divisors of 24 ⇒ 2, 3, 4, 6, 8, 12, 24
Answer = 3
3 is the only odd divisor.
c. Gcd = Greatest common divisor that isn't zero.
35 divisors ⇒ 1, 5, 7, 35
42 divisors ⇒ 1, 2, 3, 6, 7, 14, 21, 42
Answer = 7
d. 98 divisors ⇒ 1,2,7,14,49,98
99 divisors ⇒ 1,3,9,11,33,99
Answer = 1
e. Answer = 25.
A number's greatest divisor is its own self.
Does (1, 10) make the inequality y > 2x + 7 true?
yes
no
Answer:
Yes.
10 > 9
Step-by-step explanation:
This inequality is true because 10 is greater than 9.
y > 2x + 7
10 > 2(1) + 7
10 > 2 +7
10 > 9
How many positive integer values of x are solutions to the inequality 10 < -x + 13?
9514 1404 393
Answer:
2
Step-by-step explanation:
The solution to the inequality is ...
10 < -x +13
x < 3 . . . . . . . add x-10 to both sides
The additional restriction that x is positive makes this ...
0 < x < 3
The only integer solutions to this are x = 1 and x = 2.
There are two (2) positive integer values of x that are solutions.
Answer:
2
Step-by-step explanation:
We first solve the inequality:
10 < -x + 13
-3 < -x
3 > x.
The only positive integers less than 3 are 1 and 2, for a total of 2 solutions.
If you borrow $500 for 6 years at an interest rate of 9%, how much interest will you pay?
The radius of a circle measures 3 ft. What is the circumference of the circle?
Use 3.14 for 11, and do not round your answer. Be sure to include the correct unit in your answer.
Answer:
18.85
Step-by-step explanation:
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