Answer:
x=5
Step-by-step explanation:
In this equation, we need to find x. According to the Vertical Angles Congruence Theorem, all vertical angles are congruent. Therefore, because angles (2x+12) and (8x-18) are vertical angles, they are congruent. We can set this up as an equation and simply solve for x:
2x+12=8x-18 Subtract 2x from both sides.
-2x -2x
12=6x-18 Add 18 to both sides.
+18 +18
30=6x Divide both sides by 6.
/6 /6
5=x
I hope this helps!! Have an amazing day :)
Answer:
x = 5
Step-by-step explanation:
The two angles have the same degree because of the Vertical Angles rule. This means that if angles are vertical, then they are congruent. Therefore, we can solve for x by setting the two angles equal to each other.
2x + 12 = 8x - 18
+ 18 + 18
2x + 30 = 8x
-2x -2x
30 = 6x
÷6 ÷6
5 = x
We can then double check this by inputing x back into the equations
2x + 12 = 2(5) + 12 = 10 + 12= 22
8x - 18 = 8(5) - 18 = 40 - 18 = 22
These check out so x = 5
I hope this helped :)
At an amusement park there's only enough room for 4500 people to be in it at any time. The manager has also worked out that there needs to be 2800 people in the park to make a profit after all the overhead costs and employee pay. If people are entering the park at a rate of 12 people a minute and there are 850 people in the park currently between how many minutes should the door stay open to let guests in?
(a) Translate the scenario above into a compound inequality involving the number of minutes, m, that the door has been open. Take into account both the fact that there must be a minimum of 2800 people and a maximum of 4500 people.
(b) Rewrite the inequality you found in part (a) using the AND connector and then solve the compound inequality.
(c) Write a solution set as a single statement using interval notation.
Using the concept of inequality, the number of minutes which ensures that the park makes profit while also ensuring that the park isn't overcrowded ls expressed below :
m ≤ 304m ≥ 163 (m ≥ 163) AND (m ≤ 304) 163 ≥ m ≤ 304Given the Parameters :
Total capacity = 4500Number of people required in park = 2800Entry rate, r = 12 people per minute Initial capacity, c = 850 Time, m =?The number of minute to keep the gates opened :
c + rm ≤ 4500
850 + 12m ≤ 4500
12m ≤ 4500 - 850
12m ≤ 3650
m ≤ (3650÷ 12)
m ≤ 304.16
Hence, the gates should be left opened for at most 304 minutes
B.)
In other to allow atleast 2800 in for profit sake
850 + 12m ≥ 2800
12m ≥ 2800 - 850
12m ≥ 1950
m ≥ 162.5
The gates should be opened for 163 minutes.
C.)
In other to make profit by allowing atleast 2800 people in while also ensuring that not more than 4500 people are in the park ; the inequality representing the number of minutes the gates should be open is :
(m ≥ 163) AND (m ≤ 304)D.)
Expressing as a single interval statement :
163 ≥ m ≤ 304Learn more :https://brainly.com/question/15748955
In the same shop(as in question 8) , under the same conditions of discount, find the marked price of the articles whose selling prices are given below.
where is the question??
Find g(x), where g(x) is the translation 2 units down of f(x) = x?
What is the area of a circle if the circumference is 90
Help stuck on this question
Is that geometry or algebra
Step-by-step explanation:
...
Precious wants to buy a new computer. She finds one on sale for $464. If the sales tax is 7%, how much will the computer cost?
corresponding angles a and b are formed when two parallel lines are intersected by a transversal if a = (3x + 15)° and b = (5x - 1)° what is the measure of a
Answer:
x=8, a=39
Step-by-step explanation:
Corresponding angles are congruent (worth the same)
so you set them equal to eachother and solve.
Make sure to get the variable to one side and then due the easy math
If this helped you please consider making this brainlest
Kevon baked some cookies on
Monday and split them into 3 equal
groups. Then he added 6 old
cookies from Sunday into his own
bag so that he had 24 cookies in
his bag. How many cookies did he
bake on Monday?
Step-by-step explanation:
24-6=18(one group)
18×3=54 because kevon split them into 3 groups
i need help 9th grade math
[tex]y2= m(x2 - x1) + y1[/tex]
Thus the third Option is the correct answer.
3x + 4 = 5x + 10
OR
-5x + 7 > -3
Write the solution in interval notation. with explanation.
Answer:
(-infinity, 2) U [-3]
Step-by-step explanation:
Step 1: we want to solve both equations for x. To do so, get the x variable by itself in both equations.
1.) 3x+4 = 5x+10
-6 = 2x (subtract 10 from both sides and 3x from both sides)
-3 = x (divide 2 from both sides)
2.) -5x + 7 > -3
-5x > -10 (subtract 7 from both sides)
x < 2
(divide both sides by -5, notice that dividing by a negative by a negative number flips the direction on > to < .)
Step 2: apply interval notation to these answers. Since x DOES equal -3 in equation one, it'll be in a bracket. On the contrary, since x has to be LESS THAN 2, it will have a parentheses.
So, our answer is: (-infinity, 2) U [-3]
*note the parentheses around infinity because something cannot equal infinity, it's not just one number*
what is the slope of the line that passes through (-3,-3) and (-9,5)
The question gives us two points, (-3,-3) and (-9,5), from which we can find the slope and later the equation of the line.
Finding the Slope
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (5 -(-3)) ÷ (-9 -(-3))
= (5 + 3) ÷ (-9 + 3)
= - ⁴/₃
Checking my answer visually:
Finding the Equation
We can now use the point-slope form (y - y₁) = m(x - x₁)) to write the equation for this line. Once we have that equation, we can graph it to see if it passes through the two points. If it does, then we calculated the slope correctly.
⇒ y - (-3) = - ⁴/₃ (x - (-3) [ using the point (-3, -3)]
y + 3 = - ⁴/₃ (x + 3)
To test my answer, I have included a Desmos Graph that I graphed using the information provided in the question and my answer.
What does 2^10/4^42 equal
Answer:
8^-32
Step-by-step explanation:
1. if you add two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial.
2. if you subtract two polynomial functions, are they always a polynomial, or are they sometimes a polynomial, never a polynomial.
EX: F(X) + G(X)
F(X) - G(X)
Answer:
They are always polynomial.
Step-by-step explanation:
adding , multiplying and subtracting polynomial function from another polynomial function always results polynomial. but you need to restrict the domain of the denominator function when you divide polynomial by another polynomial. it may not always result polynomial function.
Order these numbers from least to greatest.
7.208, 7.3, 7.2852, 7.28
I HAVE LIKE 5 MINUTES TO FINISH THIS HELP
Answer:
138° because LCD is corresponding to JKH
SOMEONE HELP ME FIND THE Y PLEASE ASAP
Answer:
(Down Below)
Step-by-step explanation:
Plug in the value of x in the left column for all the values in the equation. I will do a couple for you.
Since -4 is the value of x, substitute it into the equation for x.
[tex]y= -4-5=-9[/tex]
-1
[tex]y=-1-5=-6[/tex]
0
[tex]y=0-5=-5[/tex]
You can do the rest. You got this! Comment if you need more help!
Answer:
y = -4 - 5 = -9
y = -1 - 5 = -6
y = 0 - 5 = -5
y = 2 - 5 = -3
y = 5 - 5 = 0
y = 8 - 5 = 3
What is the distance between points N and M?
A. 4.2
B. 5.8
C. 11.9
D. 11.6
Answer:
Answer B is closest: 5.8 units
Step-by-step explanation:
Points M and N appear to lie in the same plane, so this problem is a 2-dimensional one. The distance along the x axis from N to the origin is 5 units and that along the y axis from the origin to M is 3 units. We apply the Pythagorean Theorem, as follows:
d = √(3² + 5²), or
d = √34, which is approximately 5.83 units. Answer B is closest: 5.8 units.
Help me decrease 25 by 30%
Step-by-step explanation:
Percentage decrease = 30% × 25
New value = 25 - Percentage decreaseNew value =
25 - Percentage decrease =
25 - (30% × 25) =
25 - 30% × 25 =
(1 - 30%) × 25 =
(100% - 30%) × 25 =
70% × 25 =
70 ÷ 100 × 25 =
70 × 25 ÷ 100 =
1,750 ÷ 100 =
17.5
Absolute change (actual difference) =
New value - 25 =
17.5 - 25 =
- 7.5
Answer:
25 decreased by 30% equals 17.5
Step-by-step explanation:
To solve this, we need to make our equation to solve.
x/25=30/100
We did x because we don't know what 30% of x is. The 25 shows the total, while the right side shows the percent.
Now cross multiply
100x=750
Now divide both sides by 100.
you will get x=7.5
So now we know that 7.5 is 30% of 25. Now, subtract 7.5 from 25 in order to find out what 25 decreased by 30% is.
25-7.5=17.5
So the answer is 17.5
2.
A line passes through (1, –5) and (–3, 7).
a. Write an equation for the line in point-slope form.
b. Rewrite the equation in slope-intercept form.
A. y + 5 = –3(x – 1); y = –3x – 2
B. y - 1 = 1/3(x + 5); y = 1/3x + 8/3
C. y – 5 = 3(x + 1); y = 3x + 8
D. y - 5 = 1/3(x + 1); y = 1/3x + 16/3
Answer:
A. y + 5 = –3(x – 1); y = –3x – 2
Step-by-step explanation:
Point-slope form:
Slope-intercept form;
EXPLANATION
The point-slope form of a line is given by:
We need to find the slope using the formula:
Let us substitute the point (1, –5) and (–3, 7).
This implies that,
The point slope form now becomes,
To find the slope intercept form, we expand to obtain;
I haven't done probability in a while and i lost notes, help
Answer:
red=6/22 green=12/21
Step-by-step explanation:
since you have 6 red worms out of 22 you have a 6/22 probability to get one. Once you eat it you will have a total of 21 worms and since you didnt touch green worms the probabilty is still 12/21 (21 because you removed completely a worm)
A burrito costs $6.50 at a local restaurant.
Choose the table that correctly identifies three points on the graph
Answer:
The bottom left
Step-by-step explanation:
To solve we can create an equation to represent the problem given. In this case, the equation should be linear. This is because the total cost will change by the same amount each time the number of burritos changes. The slope (the amount the cost changes per burrito) is $6.50 because that is how much one burrito costs. So, the function would look like- y=6.5x. Plug in the x-values for the number of burritos and that will give the cost. Once you solve this equation, the bottom left chart is the only one that matches the values.
Answer:
letter D
Step-by-step explanation:
[tex]Evaluate: \sqrt{ \frac{1 - \sin(x) }{1 + \sin(x) } } [/tex]
Solve this problem please..
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The Above expression can be Evaluated to get :
[tex] \dfrac{1 - \sin(x) }{ \cos(x) } [/tex]or
[tex] \sec(x) - \tan(x) [/tex]Find the missing value. 8-?=-5 HELPPP!
Answer:
Step-by-step explanation:
8 - something = -5
so negative something has to be 5 bigger then 8 to have a -5 left at the end
8 - (8+5) = -5
8 - 13 = -5
next term in each sequence 1,4,20,120,...
Answer:
840
Step-by-step explanation:
Given data
term- 1,4,20,120
to find out
next term =?
= pattern=1×4=4
=4×5=20
=20×6=120
= the next will be 120×7=840
Answer:
840 is the answers for the question
Step-by-step explanation:
please mark me as brainlest
Please help me out with this.
45% of the rooms in a hotel are booked. If 36 rooms are booked, how many rooms are in a hotel altogether?
Answer:
80 rooms
Step-by-step explanation:
since 45% of the rooms are booked, and 36 rooms are booked, then this means that 36 = 45% of x.
then, you we have 45% × x = 36
or [tex]\frac{45}{100}[/tex] × x = 36
Multiplying both sides by 100 and dividing both sides by 45,
we have x = 36 × [tex]\frac{100}{45}[/tex]
= [tex]\frac{3600}{45}[/tex]
x = 80
2 1/7 x 3 1/3 Answer with a mixed number in simplest form
Step-by-step explanation:
15/7×10/3
LCM of 3,7 is 21
So, Make denominators equal
45×70/21
3150/21
150 by cancelling
you own a business that is taxed at the rate of 35% . if your business earns php 123,500 for the year , how much will you pay as income tax
Answer:
43,225
Step-by-step explanation:
35% divided by 100 to get 0.35
0.35 x P 123,500.00
equals 43,225
BRAINLIEST PLEASE
Helppp
Im really stuck
Answer:
x=16
Step-by-step explanation:
it is like "x÷2=8"
so 8×2=x
and x=16
hope you understood coz i'm not a good teacher ^_^
Answer:
x = 1/4
Step-by-step explanation:
Given 2/x = 8:
Multiply both sides by x to eliminate the fraction:
[tex](x)(\frac{2}{x}) = 8(x)[/tex]
2 = 8x
Divide both sies by 8 to solve for x:
[tex]\frac{2}{8} = \frac{8x}{8}[/tex]
1/4 = x
To verify whether it is the correct answer, substitute x = 14 into the original equation:
[tex]\frac{2}{x} = 8[/tex]
[tex]\frac{2}{\frac{1}{4} } = 8[/tex]
2 * 4/1 = 8
8 = 8 (True statement).
Therefore, the correct answer is x = 1/4
Please mark my answers as the Brainliest if you find my solutions helpful :)
Find the slope and y- intercept
y= -4x+1
M= (Type an integer or fraction)
Answer:
slope=-4 y-intercept=1
Step-by-step explanation:
m is slope and b is y-intercept in y=mx+b
Answer:
Slope: -4
intercept: (0,1)
Someone plsss help me with this question ill mark brainlist
Answer:
In the file I attached
Step-by-step explanation: