Answer:
13 degrees or, x-16=-3
Step-by-step explanation:
(x is a variable that is unknown)
x-16=-3
x=13 degrees
Gary needs 24screws for every 2 chairs he builds.
Answer:
12 x 6 and 12 x 9 so 72 and 108
Answer:
6=72
9=108
Step-by-step explanation:
Alejandro said that the slope of the line in the Example is because for points
2
(2, 140) and (0,0), the rise is 140 and the run is 2. Is Alejandro correct? Explain.
Answer:
Step-by-step explanation:
slope = M = rise/ run
P1=(2,140)
P2=(0,0)
M= (Y2-Y1) / ( X2-X1)
M = 0-140 /0-2
M = -140 / -2
M = 140 / 2
Yes, Alejandro is right
The slope of the line is the ratio of rise to the run. Therefore the line with points (2,140) and (0,0) has rice 140 and run 2. Hence the statement given by the Alejandro is correct.
Given information-Points of the line are (2,140) and (0,0).
The rise of the line is 140.
The run of the line is 2.
Slope of the line-
Slope of a line describes the steepness and the direction of the line. The slope of of line passing through the point [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] can be given as,
[tex]m=\dfrac{(y_2-y_1)}{(x_2-x_1)} [/tex]
Thus the slope of the line with points (2,140) and (0,0) is,
[tex]m=\dfrac{(0-140)}{(0-2)} \\ m=\dfrac{140}{2} \\ [/tex]
As the slope of the line is the ratio of rise to the run. Therefore the line with points (2,140) and (0,0) has rice 140 and run 2. Hence the statement given by the Alejandro is correct.
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The area of one side of the rectangular box is (2x + 15) where x represents the width of the box. Find the length and the width of the box.(showw your solution)
Answer:
Length of rectangle = [2x + 15] / x
Step-by-step explanation:
Given:
Area of rectangle = (2x + 15)
Width of the box = x
Find:
Length and width
Computation:
Length of rectangle = Area of rectangle / Width of the box
Length of rectangle = [2x + 15] / x
You run 2 1/2 miles as a part of an exercise routine. You run 1/3 of that distance on a hill. You run down a slope for the last 1/2 of the hill. On how many miles of your run do you run down the slope? Write your answer as a fraction or mixed number in simplest form.
Given:
Total distance for daily exercise is [tex]2\dfrac{1}{2}\text{ miles}[/tex].
You run 1/3 of that distance on a hill.
You run down a slope for the last 1/2 of the hill.
To find:
The distance you run down the slope.
Solution:
We have,
Total distance [tex]=2\dfrac{1}{2}\text{ miles}[/tex]
You run 1/3 of that distance on a hill.
Distance on a hill [tex]=\dfrac{1}{3}\times 2\dfrac{1}{2}\text{ miles}[/tex]
You run down a slope for the last 1/2 of the hill.
Distance you run down the slope [tex]=\dfrac{1}{2}\times \dfrac{1}{3}\times 2\dfrac{1}{2}\text{ miles}[/tex]
[tex]=\dfrac{1}{6}\times \dfrac{2\times 2+1}{2}\text{ miles}[/tex]
[tex]=\dfrac{1}{6}\times \dfrac{5}{2}\text{ miles}[/tex]
[tex]=\dfrac{5}{12}\text{ miles}[/tex]
In cannot be expressed as mixed fraction because 5<12.
Therefore, the distance you run down the slope is [tex]\dfrac{5}{12}\text{ miles}[/tex].
if Amy's new summer job at the pool will pay her 9$ per hour. which term describes this type of hourly income?
Answer:
wage
Step-by-step explanation:
wage describes that type of hourly income
Answer:
wage
Step-by-step explanation:
its her being paid.
HELP QUICK!!! What is the percent of change when a savings account goes from $128 to $112?
Answer:
The percent of change is –12.5%.
Answer:
-800%
Step-by-step explanation:
1. you have to do 128-112 and you get 16.
2. you then take 128 and divide by 16 and you should get 8.
3. you take 8 and multiply it by 100 and you should get 800.
4. and since you are going from 128 to 112 you are decreasing so the final number will be negative.
hope this helped!
p.s it would be cool if you gave me brainliest.
Write the equation that describes the line, in slope-intercept form.
The slope = 9,y-intercept = -1
Answer:
y = 9x -1
Step-by-step explanation:
The formula is y=mx+b
m = slope
b = y-intercept
All ya gotta do is plug in the slope and y-intercept then you have an equation!
Hope that helps and have a great day!
The height, h, in feet of a kicked soccer ball can be modeled by the function h(t) = -16t2 + 24t + 1, where t is in seconds. On its way down, the ball bounces off the crossbar of the goal, which is 8 feet above the ground. To the nearest tenth, when did the ball hit the cross bar?
Answer:
Step-by-step explanation:
let the height of a kicked soccer ball be expressed by the function:
h(t) = -16t^2 + 24t + 1 where t is in seconds
The ball hit the cross bar when the height is zero
The equation becomes
0 = -16t^2 + 24t + 1
16t^2 - 24t - 1= 0
t = 24±√24²-4(16)(-1)/2(16)
t = 24±√576+64/32
t = 24±√640/32
t = 24+25.298/32
t = 49.298/32
t = 1.54 secs
Hence the ball hit the cross bar at t = 1.6secs (to the nearest tenth)
Write 512 as a product of primes.
Answer:2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
Step-by-step explanation:
The Prime Factorization is:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
In Exponential Form:
29
CSV Format:
2, 2, 2, 2, 2, 2, 2, 2, 2
Prime[1] = 2
Factorization in 1.215935e-5 seconds
Answer:
2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 = 512. It can also be written in exponential form as 2 to the power of 9.
Step-by-step explanation:
see factor tree below </3
What is 9x^-1 as a fraction
Helpppppppp me plzzzzz
Convert 3.16 repeating to a fraction. Explain your strategy or show steps you used to convert the number.
What is 3.16161616161616161616 as a fraction?
To write 3.16161616161616161616 as a fraction you have to write 3.16161616161616161616 as numerator and put 1 as the denominator. Now you multiply numerator and denominator by 10 as long as you get in numerator the whole number.
3.16161616161616161616 = 3.16161616161616161616/1 = 31.616161616162/10 = 316.16161616162/100 = 3161.6161616162/1000 = 31616.161616162/10000 = 316161.61616162/100000 = 3161616.1616162/1000000 = 31616161.616162/10000000 = 316161616.16162/100000000 = 3161616161.6162/1000000000 = 31616161616.162/10000000000 = 316161616161.62/100000000000 = 3161616161616.2/1000000000000 = 31616161616162/10000000000000
And finally we have:
3.16161616161616161616 as a fraction equals 31616161616162/10000000000000
Step-by-step explanation:
3.16161616 ... = 313 99 = 3 16 99
Explanation: It appears that you mean 3.16161616 ... , let x = 3.16161616 ... , then 100 x = 316.16161616 ...
Subtracting former from latter we get 99 x = 313 and x = 313 99 = 3 16 99 Hence 3.16161616 ... = 3 16 99
The temperature on a January Monday morning started at -23 degrees. By noon, the temperature went up 17 degrees, and up by an additional 12 degrees by three pm. At 8 pm ,the temperature fell 19degrees. What is the temperature at 8:00 PM?
Answer:
-13 degrees, you never said weather its fahrenheit or celsius.
-17 - u/3 = -2
the u/3 is really u over 3 in a fraction.
just to point that out :)
Answer:
-45
Step-by-step explanation:
u/3=-15
u=-45
Use the original price and the markup to find the retail price.
Original price: $70; Markup: 25%
Answer:
$87.50
Step-by-step explanation:
(70*0.25)+70=87.50
Hope this helps!
Answer:
$87.50
Step-by-step explanation:
The original price of the product is $70. To find the markup price multiply 70 by 0.25 which equals 17.50. Add 70 and 17.50 to get your final answer of $87.50.
Questions:
1.Which expression is a factor of n^2+3n-54?
2. The trinomial x^2-14x+49 can be expressed as?
1. (n+9) • (n-6) is the answer
The required, 1. factor of the expression n²+ 3n - 54 = (n + 6)(n - 9), 2. x² - 14x + 49 can be expressed as (x - 7)².
What are the factors?A number or algebraic expression that evenly divides another number or expression—i.e., leaves no remainder—is referred to as a factor.
3.
To factor the quadratic expression n² + 3n - 54, we need to find two numbers whose product is -54 and whose sum is 3. These numbers are 6 and -9.
Therefore, we can write:
n²+ 3n - 54 = (n + 6)(n - 9)
So the expression (n + 6)(n - 9) is a factor of n² + 3n - 54.
2.
The trinomial x² - 14x + 49 can be expressed as the square of a binomial. Specifically, it is the square of (x - 7):
(x - 7)² = (x - 7)(x - 7) = x² - 14x + 49
Therefore, x² - 14x + 49 can be expressed as (x - 7)².
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The mass of an average human
cell is about 0.000000000001 kg.
Which shows this number in scientific
notation?
F
10 x 10-10
G
1 x 10-12
H
10 x 10-13
J
1 x 10-11
Answer:
10*10^-10
F
Step-by-step explanation:
Count the spaces the decimal point moved. If it moves right its positive. If it moves left its negative.
The scientific notation of the number is [tex]10*10^{-10}[/tex].
It is required to find the scientific notation.
What is Scientific notation?Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. Scientific Notation is the expression of a number n in the form a∗10b. where a is an integer such that 1≤|a|<10. and b is an integer too.
GFIven:
Count the spaces the decimal point moved. If it moves right its positive. If it moves left its negative.
The mass of an average human
cell is about 0.000000000001 kg.
The scientific notation is
[tex]10*10^{-10}[/tex].
Therefore, the scientific notation of the number is [tex]10*10^{-10}[/tex].
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Can u pls help me this
-3(x-1)+7x=27
Answer:
X=6
Step-by-step explanation:
All you do is solve for X.
Answer:
[tex] - 3(x - 1) + 7x = 27 \\ - 3x + 3 + 7x = 27 \\ - 3x + 7x = 27 - 3 \\ 4x = 24 \\ x = \frac{24}{4 } \\ x = 6[/tex]
this is the correct answer you can check
(7n - 5)(5n - 8)
Multiply polynomials
Answer:
35n^2-81n+40
Step-by-step explanation:
Answer:
35n^2+81n+40
Step-by-step explanation:
(7n-5)(5n-8)
35n^2-56n-25n+40
35n^2+81n+40
the math club keeps $2 for every $3 they earn during a fundraiser. They earn $90. How much money does the math club keep
Answer:
$60
Step-by-step explanation:
90:3=30
30*2=60
is negative 19 a whole number
Answer:
Yes
Step-by-step explanation:
A whole number can be any number that doesn't have a decimal or fraction
Which axis is the triangle reflected
across?
O the x-axis
O the y-axis
Answer:
You did not provide the image of the triangle but, usually it reflects across the y.-axis;)
Step-by-step explanation:
If you borrow $900 for 6 years at
an annual interest rate of 7%, how
much will you pay altogether?
If you borrow $900 for 6 years at an annual interest rate of 7%. You will pay $1350.65
What is an annual interest rate?"An annual interest rate is expressed as an interest rate. It calculates what percentage of the principal you'll pay each year by taking things such as monthly payments into account."
According to the problem
If you borrow $900 for 6 years at an annual interest rate of 7%
You will pay = [tex]90(1+\frac{r}{100} )^{t}[/tex]
= [tex]900(1+\frac{7}{100} )^{6}[/tex]
= [tex]900(1.07)^{6}[/tex]
= $1350.65
Hence, you will pay $1350.65
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Step-by-step explanation:
First, you convert 7% to a decimal.
0.07
Then you multiply.
900*6*0.07
The answer is 378.
Wait we are not done yet. We need to add dollars per year with 378.
900+378=1278
The answer is 1278.
Julio says, "If you subtract 17 from my number and multiply the difference by - 3, the result is
- 45." What is Julio's number?
Answer:
His number is -25
HELPPP ASAP , Determine the slope of a line that is Parallel to the line that goes through the
points (9, 6) and (3, 10)
Answer:
slope = - [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
Parallel lines have equal slopes
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 6) and (x₂, y₂ ) = (3, 10)
m = [tex]\frac{10-6}{3-9}[/tex] = [tex]\frac{4}{-6}[/tex] = - [tex]\frac{2}{3}[/tex] ← slope of parallel line
Answer:
Step-by-step explanation:
Y2-Y1÷X2-X1=slope
10-6÷3-9=M
4÷-6=M
Slope =0.67
YALL PLEASE HELP ME WITH THIS I BEG YOU
Answer:
A. 4, and 6 --> Same side interior angles
B. 5 and 8 --> Vertical angles
C. 2 and 6 --> Corresponding angles
D. 4 and 5 --> Alternate interior angles
solve the compound inequality -x/3< -4 or 5x + 11 -4
Answer:
63
Step-by-step explanation:
x-3 (-x/3 < -4 ) x-3
x = 12
5 (12) + 11 - 4
60 +11 -4
71 - 4
63
1 + 2 • 4 - 6
SHOW THE STEPS
Answer:
3
Step-by-step explanation:
1. Using the order of operations, start with the multiplication.
2 x 4 = 8
2. Now do the addition problem first, because when up to using the pair of addition and subtraction do the problem that comes first.
1 + 8 = 9
3. Now finish it off with the subtraction part.
9 - 6 = 3
Order of operations:
1. Parenthesis
2. Multiplication/Division (what ever comes first)
3. Addition/Subtraction (what ever comes first)
Given: 5x + 11 + 8x = 128
Prove: x = 9
Step-by-step explanation:
5 + 11 + 8
5x+11+8
5x+11+8
Simplify
1
Add the numbers
5 + 11 + 8
5x+{\color{#c92786}{11}}+{\color{#c92786}{8}}
5x+11+8
5 + 19
5x+{\color{#c92786}{19}}
5x+19
Solution
5 + 19
You draw a card from a standard deck of 52 cards. What is the probability of drawing a
card other than a Queen?
Answer:
12/13
Step-by-step explanation:
52 - 4 queens = 48
48 cards out of 52 is the probability that you wont get a queen
48/52 = 24/26 = 12/13
what is the slope of the graph of 2x - 5y =20
Answer:
2/5
Step-by-step explanation:
convert to slope-intercept form y=mx+b:
2x - 5y = 20
-5y = 20 -2x
y = -4 (-2/-5)x
y = 2/5x - 4
the slope of the graph represented by 2x - 5y = 20 is 2/5.
To find the slope of the graph represented by the equation 2x - 5y = 20, we need to rearrange the equation into slope-intercept form (y = mx + b), where m is the slope.
Let's start by isolating the term with y:
2x - 5y = 20
-5y = -2x + 20
Next, divide the entire equation by -5 to solve for y:
y = (2/5)x - 4
Comparing the equation with the slope-intercept form, we can determine that the slope (m) is 2/5. Therefore, the slope of the graph represented by 2x - 5y = 20 is 2/5.
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