Answer:
4=x
Step-by-step explanation:
1/5( 2x+92) = 5x
Multiply each side by 5
5*1/5( 2x+92) = 5x*5
( 2x+92) = 25x
Subtract 2x from each side
2x+92-2x = 25x-2x
92 = 23x
Divide by 23
92/23 = 23x/23
4=x
Answer:
x = 4
Step-by-step explanation:
1/5 ( 2x + 92 ) = 5x
[tex] \small \sf \frac{1}{5} × ( 2x + 92 ) = 5x \\ [/tex]
distribute 1/5 through the parantheses
[tex] \small \sf \frac{2}{5}x + \frac{92}{5} = 5x \\ [/tex]
multiply both side of equation by 5
[tex] \small \sf \frac{2}{5}x \times 5 + \frac{92}{5} \times 5 = 5x \times 5\\ [/tex]
2x + 92 = 25xMove all variables to the left hand side and change their sign
2x + 92 - 25x = 0combine like terms
2x - 25x + 92 = 0calculate
-23x + 92 = 0Move all the constant to the right side and change their sign
-23 x = - 92divide both side by -23x
-23x / -23 = -92/-23x = 4Is w = 8 a solution to the equation 5 + w = 58? Explain
No.
Since w = 8, you must replace the variable with the number associated to it.
So, it would be 5 + 8 = 58
5 + 8 is not equal to 58, it is equal to 13.
If you wanted to find out what w was, simply subtract 5 on both sides.
w = 58 - 5
Find the slope and the y-intercerpt f(x) = 8 -7/8x
Answer:
slope = -7/8
y-intercept = 8
Step-by-step explanation:
slope intercept form is
y = mx + b
m is slope
b is y-intercept
------------------------
f(x) = 8 - 7/8x
Rearrange into slope intercept form
f(x) = -7/8x + 8
slope = -7/8
y-intercept = 8
Answer:
Slope = -7/8
Y-intercept = 8
Step-by-step explanation:
Hi there!
Linear equations are typically organized in slope-intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept.
f(x) = 8-7/8x
Given the above, rearrange it in slope-intercept form to help us find the slope and y-intercept:
f(x) = -7/8x+8
Now, we can see clearly that -7/8 is in place of m and 8 is in place of b. This means that -7/8 is the slope of the line and 8 is the y-intercept.
I hope this helps!
This circle is centered at the origin, and the length of its radius is 8. What is the circle's equation? 5 A. X+ y = 8 B. x2 + y2 = 64 O c. x2 + y2 = 8 D. X8+ y = 64
Answer:
Step-by-step explanation:
A circle centered in [tex]P(x_o,y_o)[/tex] an radius [tex]r[/tex] has a equation:
[tex](x-x_o)^2+(y-y_o)^2=r^2[/tex]
So, your equation wold be:
[tex](x-0)^2+(y-0)^2=8^2\Rightarrow x^2+y^2=64[/tex]
The correct circle's equation with radius 8 is,
⇒ x² + y² = 64
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
This circle is centered at the origin, and the length of its radius is 8.
Since, The general equation of circle with center (h, k) and radius r is,
⇒ (x - h)² + (y - k)² = r²
Here, Center = (0, 0)
Radius = 8
Hence, The correct circle's equation with radius 8 is,
⇒ (x - h)² + (y - k)² = r²
⇒ (x - 0)² + (y - 0)² = 8²
⇒ x² + y² = 64
Thus, The correct circle's equation with radius 8 is,
⇒ x² + y² = 64
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There are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B.
The total length of these two carriers is 4198 feet, while the difference of their lengths is only
10 feet.
Answer:
Carrier A is 2,104 feet and Carrier B is 2,094 feet.
Step-by-step explanation:
Since there are two aircraft carriers, A and B, and carrier A is longer in length than the carrier B, and the total length of these two carriers is 4198 feet, while the difference of their lengths is only 10 feet, to determine the length of each aircraft carrier, the following calculation must be performed:
(4,198 - 10) / 2 = X
4.188 / 2 = X
2,094 = X
2,094 + 10 = 2,104
2,094 + 2,104 = 4,198
Therefore, Carrier A is 2,104 feet and Carrier B is 2,094 feet.
what is the probability of throwing an odd number with a fair die
Answer:3/6 or 1/2
Step-by-step explanation::So a fair die has 6 sides so it would be soemthing out of 6 we know their 3 odd number on the die so that means it would be 3/6 or 1/2 that yu would land a odd number.
Given m||n find the value of x.
Answer:
x =17
Step-by-step explanation:
The angles are supplementary so they add to 180
6x-20 + 6x - 4 = 180
12x -24 = 180
Add 24 to each side
12x-24+24 = 180+24
12x = 204
Divide by 12
12x/12 =204/12
x = 17
what are the multiples of 5 between 61 and 69
Answer:
I think it is 65 because we can divide it by 5
Answer:
i think there is only one multiple which is 65
Complete the function table. i really need help please
Answer:
Here ya go
Step-by-step explanation:
Identify the restrictions on the domain.
x+1x+9÷xx−4
x≠−1,4
x≠−9,4
x≠−1,0
x≠−9,0
[tex]Identify the restrictions on the domain. x+1x+9÷xx−4x≠−1,4x≠−9,4x≠−1,0x≠−9,0[/tex]
Solve the system of equations.
y = x + 4
y = x2 + 2
Answer:
(2,6) and (-1,3)
Step-by-step explanation:
Hi there!
We're given the system of equations:
y=x+4
y=x²+2
and we need to solve the system
You may first notice that both equations are equal to y, so we can set them to equal each other via a property known as transitivity (if a=b and b=c, then a=c)
x²+2=x+4
subtract x from both sides
x²-x+2=4
subtract 4 from both sides
x²-x-2=0
we can factor the polynomial
the numbers that add up to -1 and multiply to get -2 are -2 and 1
(x-2)(x+1)=0
solve
x=2, x=-1
both values of x work- so we'll have 2 solutions in this case
now we need to solve for y; we can do this by substituting the value of x into one of the equations to solve for y
let's use y=x+4
so if we'll use x=2,
y=2+4
y=6
one solution will be (2,6)
and if we use x=-1
y=-1+4
y=3
and the other will be (-1,3)
Hope this helps! :)
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards (according to GolfWeek). Assume that the driving distance for these golfers is uniformly distributed over this interval. a. Give a mathematical expression for the probability density function of driving distance. b. What is the probability the driving distance for one of these golfers is less than 290 yards
Answer:
a) [tex]f(x) = \frac{1}{25.9}[/tex]
b) 0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
Step-by-step explanation:
Uniform probability distribution:
An uniform distribution has two bounds, a and b.
The probability of finding a value of at lower than x is:
[tex]P(X < x) = \frac{x - a}{b - a}[/tex]
The probability of finding a value between c and d is:
[tex]P(c \leq X \leq d) = \frac{d - c}{b - a}[/tex]
The probability of finding a value above x is:
[tex]P(X > x) = \frac{b - x}{b - a}[/tex]
The probability density function of the uniform distribution is:
[tex]f(x) = \frac{1}{b-a}[/tex]
The driving distance for the top 100 golfers on the PGA tour is between 284.7 and 310.6 yards.
This means that [tex]a = 284.7, b = 310.6[/tex].
a. Give a mathematical expression for the probability density function of driving distance.
[tex]f(x) = \frac{1}{b-a} = \frac{1}{310.6-284.7} = \frac{1}{25.9}[/tex]
b. What is the probability the driving distance for one of these golfers is less than 290 yards?
[tex]P(X < 290) = \frac{290 - 284.7}{310.6-284.7} = 0.2046[/tex]
0.2046 = 20.46% probability the driving distance for one of these golfers is less than 290 yards
50 POINTS PLZ HELP!!!
Your boss hands you the monthly data that shows the number of orders coming in to and out of the warehouse. The data is in the table below. Explain to your boss, in complete sentences, the solution to this system and what the solution represents.
Answer:
The number of orders in is equal to the number of orders out in month 4 (April). It appears the solution represents the time at which warehouse shipments caught up with order quantities.
Step-by-step explanation:
For this table to make any sense, we have to assume that the year started with 3 orders in January, and that one order was shipped in January. Then the number of orders was 1 or 2 each month after that, and the number of orders shipped per month was 2 each month after that. That is, the tables represent year-to-date totals of orders in and out.
Alternate Interpretation
If the numbers here are actual orders in and out in each of the listed months, it appears the warehouse is getting better at shipping orders. That is, they are increasing the shipment rate by 2 orders a month each month. They will eventually ship enough to cover the total number of orders in (total of 20 by April), but total shipments through April only amount to 16 orders.
Answer:
Writing about two pages any topic that you want, such as story, project, event, idea, .etc.please Do not copy and paste from the Interne.
Which statement about population parameters and point estimates is false? O A. o is the population standard deviation. It is usually unknown. B. p is the sample mean. It is used to estimate the population mean. C. sis the sample standard deviation. It is the square root of the variance. O D. nis the sample size. It is used to calculate the sample mean. SUBMIT
Using the Central Limit Theorem, the false statement is given by:
B. [tex]\mu[/tex] is the sample mean. It is used to estimate the population mean.
What does the Central Limit Theorem state?It states that, for a normally distributed random variable X, with population mean [tex]\mu[/tex] and population standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard error [tex]s_E = \frac{\sigma}{\sqrt{n}}[/tex].
If we have the standard deviation for the sample s, the Central Limit Theorem can also be applied.
The sample mean is given by [tex]\overline{x}[/tex], hence option B is false.
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prove by factorization √16×81=√16×√81
Answer:
√16×81 = 4×9 or √1296 = 36
√16×√81 = 4×9 = 36
Step-by-step explanation:
√81×16
We simplify 81 and 16 by prime factorisation (expressing a number as a product of its prime factors).
√81 = √3×3×3×3 = √9×9 = √9² = 9
√16 = √2×2×2×2 = √4×4 = √4² = 4
Can someone help me with this question
Answer:
The two minimum numbers = 5, 5
Step-by-step explanation:
Let the first number = x
let the second number = y
Their sum: x + y = 10
Sum of their squares: = x² + y²
y = 10 - x
f(x) = x² + (10 - x)²
f(x) = x² + 100 - 20x + x²
f(x) = 2x² - 20x + 100
Find the derivative of f(x), to obtain the critical points;
f'(x) = 4x - 20
4x - 20 = 0
4x = 20
x = 5
The value of y is calculated as;
y = 10 - x
y = 10 - 5
y = 5
The two minimum numbers = 5, 5
Find the volume of the composite solid. Round your answer to the nearest
tenth.
Answer:
Answer D
Step-by-step explanation:
pi * 3 * 12 gives roughly 113. Even ignoring the exact value of the ball shape cut in half, it's the only remotely plausible solution
brainliest should be possible with 2 answers btw
The temperature today will be at most 50°F. Write Inequality
Let h be high temperature for today.
We are told that today high temperature will be at least 50 degrees. This means the high temperature will be greater than or equal to 50 degrees.
Let us represent this information by our inequality.
Therefore, our desired inequality will be .
h [tex]\geq[/tex] 50 degrees
A circular table top has a radius of 24 inches.
What is the area of the table top, to the nearest square inch? Use 3.14 for Pi.
Answer:
1809 in²
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightGeometry
Area of a Circle Formula: A = πr²
r is radiusStep-by-step explanation:
Step 1: Define
Identify
r = 24 in
Step 2: Find Area
Substitute in variables [Area of a Circle Formula]: A = (3.14)(24 in)²Evaluate exponents: A = 3.14(576 in²)Multiply: A = 1808.64 in²Round: A ≈ 1809 in²Answer:
Area of circular table is 1,809 inches².
Step-by-step explanation:
Area of circular table is given by
Area = π r²
substitute the values
Area = 3.14 × ( 24 inches )²
evaluate the exponent
Area = 3.14 × 576 inches²
multiply the numbers
Area = 1,808.64 inches ²
Round
Area = 1,809 inches²
What is the Area of the shaded portion in the square.
Step-by-step explanation:
Area of the squre is pi -360/2
A student is running a 3-kilometer race. He runs 1kilometer every 2minutes. Select the function that describes the distance from the finish line after xminutes
Answer:
(0.5X) - 3 = Distance from the finish line
Step-by-step explanation:
Given that a student is running a 3-kilometer race, and runs 1 kilometer every 2 minutes, to determine the function that describes the distance from the finish line after X minutes, the following calculation must be performed:
1 = kilometers for every 2 minutes
X = every number of minutes
1/2 = 0.5 = kilometers per minute
(0.5X) - 3 = Distance from the finish line
Thus, if the student runs for 4 minutes, the equation would operate as follows:
0.5 x 4 - 3 = X
2 - 3 = X
-1 = X
which expression represents these words?
8 more than the quotient of 32 and 4
A. (32-4)+8
B. 32÷4-8
C. (32-4)-8
D. 32÷4+8
Answer:
(32 ÷4) +8
Step-by-step explanation:
More than means it comes after
quotient of 32 and 4
32÷ 4
8 more than
(32 ÷4) +8
6 1/8 qt = ___ c please help
Answer:
24 1/2 cups
Step-by-step explanation:
we can change 6 1/8 into 49/4
there are 2 cups in 1 quart
now we can set up a proportion:
2÷1 = 'c'÷ 49/4
cross-multiply to get:
49/4 × 2 = c
49/2 = c
c = 24.5
Free question answer for points. If its correct ill mark brainliest
Answer:
[tex]14. \\841\rightarrow 800\\\\15.\\750[/tex]
Step-by-step explanation:
14:
Round the highest place means keeping the farther non-zero digit to the left, then rounding. Therefore, there should only be one non-zero digit in our final answer. The only answer choice that follows this and correctly rounds is [tex]\boxed{841\rightarrow 800}[/tex]
15:
There are 30 days in November. Therefore, the number of pages typed is equal to [tex]30\cdot 25=\boxed{750}[/tex]
Answer:
.
Step-by-step explanation:
What is the equation of the line that is parallel to the line defined by the equation y = 3x + 6 and goes through the point (3, 2)?
options:
y = 2x – 1
y = 3x – 7
y = 2x + 4
y = 4x + 3
y = -2x + 9
Answer:
Step-by-step explanation:
Parallel lines have the same slope. The slope of the given line is 3. The easy way to do this, the one that uses our logical brains as opposed to our mathematical brain, tells us that since there is only one choice that has a given slope of 3, that is the one that we want. The second choice down is the only one that has a slope of 3.
Mathematically,
[tex]y-2=3(x-3)[/tex] and
[tex]y-2=3x=9[/tex] and
[tex]y=3x-9+2[/tex] so
y = 3x - 7 (the second choice)
HELP ME WITH THIS PLSSS!!!
A circle has been divided into three equal angles. is each angle acute obtuse or right?
Answer:
obtuse
Step-by-step explanation:
A circle is 360 degrees
Divide by 3
360/3 =120
This is greater than 90 and less than 180 so it is obtuse
Can you help me please
Answer:
mid point=(x1 + x2)/2 (y1 + y2)/2
(-5+5)/2 and (-7+4)/2
0 and 1.5
midpoint=(0,1.5)
Sherrie travels 120 miles in 3 hours. Find the unit rate of speed missing number.
Answer:
The unit rate of speed is 40 miles per hour.
Step-by-step explanation:
Since Sherrie travels 120 miles in 3 hours, to find the unit rate of speed the following calculation must be performed:
3 = 120
1 = X
(1 x 120) / 3 = X
120/3 = X
40 = X
Therefore, the unit rate of speed is 40 miles per hour.
The ration of men to women in a community is 25:12.If there are 240 women..(i) how many men are in the community?..(ii) What is the total number of people in the community?
Answer:
500 men
740 total people in community
Step-by-step explanation:
25:12 ratio
When using a ratio both sides should go up the same amount of times to get the number you are trying to reach. Since the women's amount was 240 we need to find the times it took to get from 12 to 240. You take the 240 and divide by 12. We find that the 12 was multiplied 20 times to get to 240. So you turn to the men's side and find the amount using the 25. We use X to signify the amount we are trying to find and the amount of times that 25 goes into X will be 20 to keep the ratio of men to women as specified. When solving for X you multiply both sides of the equation by 25 to find the amount. X will equal 500 (=20*25).
Then 240 women plus 500 men equals to 740 people in the community.
Women
240/12 = 20
Men
X/25=20
X=20*25
X=500
240 women+500 men=740 people
Write the equation of the circle whose center is (-4,8) and has a diameter of 18
Answer:
(x + 4)^2 + (y - 8)^2 = 81
or
(x + 4)^2 + (y - 8)^2 = 9^2 depending on how your teacher wants it written.
Step-by-step explanation:
The standard form for a circle is
(x + h)^2 + (y + k)^2 = r^2
r is the radius.
You are given the diameter
r = d/2
r = 18/2
r = 9
So you already have the right hand side of the equation
(x + h)^2 + (y + k)^2 = 9*2
(x + h)^2 + (y + k)^2 = 81
You basically have h and k as well. They come from the center point.
h = 4
k = - 8
So the equation of the circle (and the answer) is
(x + 4)^2 + (y - 8)^2 = 81
One question remains. Why do the x and y values change signs? If you know what the distance formula is, then what you are finding is the distance r of all points on the circle from the center of the circle.
It is the distance formula that is actually the formula for the circle.
is it possible to make a triangle with a measure of 1o m 6m and 7m
Answer:
Step-by-step explanation:
So basically you
Then you have to
And finally the answer is