Answer:
40
Step-by-step explanation:
Insert the number
4x + 20 = 180
Get the variable by its self
4x + 20 = 180
-20 -20
4x = 160
/4 /4
x = 40
if you want you can insert it into the problem to check
Find the value of r so the line that passes through the pair of points has the given slope.
(12, 10) (-2, r), m = -4
Answer:
The missing value in the ordered pair is 66
Step-by-step explanation:
Given that:
(12,10) and (-2,r)
Slope = m = -4
We have to find the value of r so that the line has a slope of -4.
Slope is the steepness of line which is denoted by m.
Here,
[tex]x_1=12, y_1=10\\x_2=-2, y_2=r[/tex]
Putting the values in slope of line formula,
[tex]-4=\frac{r-10}{-2-12}\\ -4=\frac{10-r}{-14}\\[/tex]
Multiplying both sides by -14
[tex]-4*-14=\frac{r-10}{-14}*-14\\56=r-10\\56+10=r\\66=r\\ r=66[/tex]
The value of r is 66
Hence,
The missing value in the ordered pair is 66
Myra is putting together a puzzle such that every 5 days she places one quarter of the remaining pieces into the puzzle. If she started with a 800 piece puzzle, how many pieces are left to be placed after 23 days? Show the work that leads to your answer
Given:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
To find:
The number of remaining pieces after 23 days.
Solution:
Initial number of pieces Myra have = 800.
Every 5 days she places one quarter of the remaining pieces into the puzzle.
It means, she will place the puzzles on 5,10,15,20,25,.. days. she will place the puzzle 4 times before 23 days.
The number of remaining pieces decreasing by [tex]\dfrac{1}{4}[/tex].
Formula for number of remaining pieces is
[tex]y=a_0(1-r)^t[/tex]
where, [tex]a_0[/tex] is the initial value, r is decreasing rate and t is time.
Putting [tex]a_0=800,r=\dfrac{1}{4}[/tex] and t=4, we get
[tex]y=800(1-\dfrac{1}{4})^4[/tex]
[tex]y=800(\dfrac{3}{4})^4[/tex]
[tex]y=800(0.75)^4[/tex]
[tex]y=800(0.31640625 )[/tex]
[tex]y=253.125[/tex]
Approximate the value to the nearest whole number.
[tex]y\approx 253[/tex]
Therefore, the number of remaining pieces is 253.
Find the square root.
9
25
0.12
Plz need help asap
Answer:
the square root of 9 is 3
the square root of 25 is 5
the square root of 0.12 is 0.346
Answer:
exact form is 3/5 and dcimal form is 0.6.
Step-by-step explanation:
simplify the radical by breaking the radicand up into a product of nown factors,assuming positive real numbers.
Two sisters, Beyunka and Tamu, made resolutions to save their money regularly in 2016. They are both going to save a certain amount of money every month. After how many months will Beyunka and Tamu have saved the same amount of money?
Answer:12months
Step-by-step explanation:
There are 12 months in a year
Evaluate if x=-4 and y=13 3(2x- y)
Answer:
-63
Step-by-step explanation:
6x - 3y
= 6 × -4 - 3 × 13
= -24 - 39
= -63
Henry drank 2/5 of his water bottle. If he drank 3 cups of water, what was the total amount of cups of water in his water bottle? Solve with a model and a full sentence answer.
Answer:
The amount of cups of water in the water bottle is 7.5.
Step-by-step explanation:
Given that Henry drank 2/5 of his bottle of water, and those 2/5 were distributed in 3 glasses, to determine the total amount of glasses that go into the bottle it is necessary to perform the following calculation:
2/5 X = 3
1/5 X = 1.5
X = 1.5 x 5
X = 7.5
Therefore, the bottle fits 7 and a half glasses of water.
Write an equation of the line in slope-intercept form
(-1,0) (-5,0)
Answer:
if there are no typos, line is y=0
Step-by-step explanation:
slope intercept form is y=mx+b
m= slope
b= y intercept
slope is found by y2-y1 / m2-m1
so using the points (-1, 0) and (-5, 0)
(0-0) / (-5 - -1)
= 0/ -4
= 0
m=0
y=0x+b
plug in a point to find b
0=0*-1 +b
b=0
The line is just y=0
please give thanks by clicking the heart button :)
Please help me pass this class
Answer:
b
Step-by-step explanation:
If you drive 600 miles in 10 hours, what is your average speed? Options-
610 miles per hour
60 miles per hour
0 6,000 miles per hour
50 miles per hour. I’m so confused
4 divided by the sum of 2 and 12
Answer:
Step-by-step explanation:
4/(2+12)
=4/14
=2/7
=0.2857
Step-by-step explanation:
4/(2+12)
4/(14)
=0.285714286/ 2/7
What is the perimeter, in units, of polygon UVWXYZ? Enter your answer in the box.
Given:
Consider the below figure attached with this question.
To find:
The perimeter of the polygon UVWXYZ.
Solution:
All sides and vertical and horizontal. So, we can easily find the side lengths of the given polygon by counting the boxes between two points.
From the figure it is clear that,
UV = 9 units
VW = 2 units
WX = 3 units
XY = 3 units
YZ = 6 units
ZU = 5 units
Now, perimeter is the sum of all the sides.
[tex]Perimeter=UV+VW+WX+XY+YZ+ZU[/tex]
[tex]Perimeter=9+2+3+3+6+5[/tex]
[tex]Perimeter=28[/tex]
Therefore, the perimeter of UVWXYZ is 28 units.
If p(x) = 5(x² + 1) + 16, what is value of p(11)?
Answer: The answer is 626
Step-by-step explanation:
Substitute 11 for x, you get 626.
1 yard of fabric costs $3.25. If you need 4.2 yards, how much will it
cost to purchase the fabrics needed?
Answer:
12.50$
Step-by-step explanation:
3 dollars for 1 yard
3x4=12
.25x2=50
12.50$
y=2/3 x-2 on a graph line
Answer:
3,0 and 0,(-2)
Step-by-step explanation:
I'll give brainliest (; Please help tysm ❤
help pleaseeeeee! I need an answer quick please
Answer:
subtraction
Step-by-step explanation:
b= 40 - 5
40- 5 =35
b=40
Answer:
addition
Step-by-step explanation:
5 times w increased by 4 is 2 times u.
(i don’t understand function rules)
will give brainliest
Answer:
5w + 4 = 2u
Step-by-step explanation:
If your problem is putting that statement into number form, then that'll be your answer
Please help will brainlist if right
Answer:
12. B
13 A
18 B
19 B
Step-by-step explanation:
12. The solutions of the quadratic is the roots, so 0 = x^2 -7x -30 = (x-10)(x+3). For this to be satisfied, either x-10 = 0 -> x = 10 and x + 3 = 0 -> x = -3
13. Either x = 0 or x+8 = 0 -> x =-8 for this to be true
18. The GCF of 2, 6, and 20 is 2. No other number satisfies being a common factor.
19. The product of the solutions of the equation is the (constant/leading coefficient) in the quadratic, which is -8/1 = -8
I hope this helps! :)
You and your friend are standing back-to-back. Your friend runs 8 feet forward, and then 6 feet right. At the same time, you run 4 feet forward, and then run 3 feet to the right. You stop and throw a football to your friend, who catches it. How far did you throw the football?
Answer:
15 feet
Step-by-step explanation:
you and your friend basically formed two different triangles, and in order to determine the distance that the ball traveled we must calculate both hypotenuses:
triangle 1:
hypotenuse = √(8² + 6²) = √100 = 10 feet
triangle 2:
hypotenuse = √(4² + 3²) = √25 = 5 feet
total distance traveled by the ball = 10 + 5 = 15 feet
Valentina bought 12 puzzles each with the same number of pieces. The total amount of pieces is 19,200. How many pieces are in each puzzle box?
Answer: 1600
Step-by-step explanation:
If there is a total amount of 19200 pieces within 12 puzzle boxes, then we'll have to divide 19200 by 12.
19200 ÷ 12 = 1600.
In conclusion, 1600 pieces are in each puzzle box.
Hope this helps!
Answer:
1,600 pieces per puzzle
Step-by-step explanation:
19,200/12= 1,600
you divide because you have the total amount of puzzle pieces and you have the amount of puzzles so
Find the particular solution to y ' = 2sin(x) given the general solution is y = C - 2cos(x) and the initial condition y of pi over 3 equals 1 . (5 points)
-2cos(x)
closeIncorrect
3 - 2cos(x)
checkCorrect
2 - 2cos(x)
-1 - 2cos(x)
Answer:
[tex]y=2-2\cos(x)[/tex]
Step-by-step explanation:
We have the differential:
[tex]y^\prime=2\sin(x)[/tex]
With the general solution:
[tex]y=C-2\cos(x)[/tex]
And we want to find the particular solution such that it satisfies the initial condition:
[tex]\displaystyle y\Big(\frac{\pi}{3}\Big)=1[/tex]
So, we have:
[tex]y=C-2\cos(x)[/tex]
Substituting π/3 for x and 1 for y yields:
[tex]\displaystyle 1=C-2\cos\Big( \frac{\pi}{3} \Big)[/tex]
Solve for C. Evaluate:
[tex]\displaystyle 1=C-2(\frac{1}{2})[/tex]
Simplify:
[tex]1=C-1[/tex]
Hence:
[tex]C=2[/tex]
Therefore, our particular solution will be:
[tex]y=2-2\cos(x)[/tex]
Hence, our answer is C
I need statements and reasoning to prove IG is congruent to HJ
Given the equation y=-3x+2.5: When x is 1, what value of y makes the equation true? When x is -1.5, what value of y makes the equation true? When y is 8.5, what value of x makes the equation true?
Step-by-step explanation:
when,X=1
y=-3 *1+2.5
y=-3+2.5
y=0.5
when,X=1.5
y=-3*1.5+2.5
y=-4.5+2.5
y=-2
when,y=8.5
8.5=-3*X+2.5
3*X=2.5-8.5
3*X=-6
X=-6/2
X=-3
Hence, the statements are true:
when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].
What is the equation?
The definition of an equation is a mathematical statement that shows that two mathematical expressions are equal.
Here given equation is
[tex]y=-3x+2.5[/tex]
So,
[tex]y=-3 (1)+2.5\\y=-3+2.5\\y=0.5\\[/tex]
When,
[tex]x=-1.5\\y=-3(1.5)+2.5\\y=-4.5+2.5\\y=-2\\[/tex]
when,
[tex]y=8.5\\8.5=-3x+2.5\\3x=2.5-8.5\\3x=-6\\x=-\frac{6}{2}\\x=-3\\[/tex]
Hence, the statements are true:
when [tex]x=-1.5[/tex] the value of [tex]y=-2[/tex] and when [tex]y=8.5[/tex] then [tex]x=-3[/tex].
To know more about the equation
https://brainly.com/question/12788590
#SPJ6
can you please explain this?
Answer:
The question is giving you pairs of points in space which can be used to define lines. It is then asking you to determine if the lines defined by those points are parallel, perpendicular, or neither.
Step-by-step explanation:
Two key things you need to know to solve this is that the lines will be parallel if their slopes are the same, and perpendicular if one slope is the negative reciprocal of the other (i.e. [tex]s_{1} = -s_{2}^{-1}[/tex])
Let's start with question 11. You are given two pairs of points, each of which describes a distinct line:
(3,5)-(1,1) and (0, 2)-(5, 12)
To find the slope of each pair, take the vertex with the lesser x co-ordinate, and subtract it from the vertex with the greater x co-ordinate. That will give us a valid Δx and Δy to get the slope.
In the first pair, 3 > 1, so we'll subtract the second point from the first:
[tex]s = \Delta y / \Delta x\\s = \frac{5 - 1}{3 - 1}\\s = 4/2\\s = 2[/tex]
So the first pair of vectors describe a line with a slope of 2. Let's look at the other pair:
[tex]s = \Delta y / \Delta x\\s = (12 - 2) / (5 - 0)\\s = 10 / 5\\s = 2[/tex]
That also gives us a slope of 2, meaning that the two lines are parallel.
This same process will need to be done for the other three questions. We can't answer questions 12 or 14 here, as the last point is cut off on the edge of the image. For question 3 though, one line has a slope of 7/3, and the other 3/7. That puts them in the "neither" category, as one is not the negative reciprocal of the other, but instead the positive reciprocal.
State the domain and range of the relation below.
{(1, -2), (4, 5), (2, -4), (6,5), (2, 2)}
A domain = {1, 2, 4, 6) and range = {-4, -2, 2,5}
B domain = {-4, -2, 2, 5} and range = {1, 2, 4, 6}
c domain = {-2, 1, 2, 4, 5} and range = {-4, 2, 2, 5, 6}
D domain = {-4, 2, 2, 5, 6} and range = {-2, 1, 2, 4,5}
* need help fast *
Answer:
The answer you are looking for is A.
Step-by-step explanation:
Remember, the domain is a set of working x values or all possible inputs of a function or two variable relationship. The range is a set of working y values or all possible outputs of a function or two variable relationship. A two variable relationship with more than one output for each input will not be a function in general but will be refered to as inverse.
Now given a set of coordinates for this relation, coordinates with x and y values or inputs and outputs are generally cartesian coordinates represented by (x,y). This is so we know the working x value for each y value, also making it easier to graph it on a coordinate plane or visualize it. x = domain (input of a function) , y = range (output of a function).
All you have to do is sort the x and y values you are given from the coordinates.
For instance, (-1,2) and (4,5) : domain of -1 and 4 [the x values], range of 2, and 5 [the y values].
I Need Help Please And Thank You
Hi, i need help Pleases.
Answer:
Here the answer to your question
Step-by-step explanation:
PLZ HELP IN MATH PLZ
Answer:
3L
Step-by-step explanation:
I WILL MARK YOU AS BRANLIEST JUST DO THIS PLS ASAP
Edson exercises in sets that are each t minutes long. He does 6 sets of push-ups, 3 sets of pull-ups, and 4 sets of sit-ups. Write an expression to represent the time it takes Edson to exercise as the sum of three different terms. Then simplify the expression.
Answer:
(6t) + (3t) + (4t)
Simplified it would be 13t
Frank and Erica are selling ribbons to raise money for the football team. The graph shows the linear relationship between the number of ribbons each of them has left to sell and the number of days that they have been selling the ribbons. On which day does it appear that frank and Erica will have the same number of ribbons left to sell?
Answer:
Day 18
Step-by-step explanation: