Answer:
x = 6.8
Step-by-step explanation:
7x + 36 = 12x + 2 (alternate interior angles are congruent)
Collect like terms
7x - 12x = -36 + 2
-5x = -34
Divide both sides
-5x/-5 = -34/-5
x = 6.8
At a football game, 92% of people attending were supporting the home team, while 8% were supporting the visiting team. If the total number of people attending the game was 600, how many people attending were supporters of the home team?
Answer:
552 supporters of the home team.
Step-by-step explanation:
92% × 600 = 552
Answer:
552
Step-by-step explanation:
92% divided by 100= .92
600x.92+552
g(x) = 5x - 12x2 + 3
The factor of the function will be (4x - 3) and (3x + 1). The graph of the function is shown below.
What is a factorization?It is a method for dividing a polynomial into pieces that will be multiplied together. At this moment, the polynomial's value will be zero.
The function is given below.
g(x) = 5x - 12x² + 3
Then the function can be written as
g(x) = - 12x² + 5x + 3
Then the factor of the function will be
g(x) = 0
Then we have
- 12x² + 5x + 3 = 0
12x² - 5x - 3 = 0
12x² - 9x + 4x - 3 = 0
(4x - 3)(3x + 1) = 0
x = -0.33 and 0.75
Then the graph of the equation will be given below.
More about the factorization link is given below.
https://brainly.com/question/6810544
#SPJ2
The area of the triangle below is 2/5 square meters. What is the length of the base Express your answer as a fraction in simplest form.
3/5 m is the height
Let's set the base of the triangle to x.
(x* 3/5) / 2= 2/5
Now just solve
x*3/5=4/5
x=4/3
The base has length 4/3
Hope it helped!
The length of the base is 4/3 meters.
What is a triangle?A triangle is a 2-D figure with three sides and three angles.
The sum of the angles is 180 degrees.
We can have an obtuse triangle, an acute triangle, or a right triangle.
We have,
The area of a triangle is given by the formula:
A = (1/2)bh
where A is the area, b is the base length, and h is the height.
We are given that the area of the triangle is 2/5 square meters and the height is 3/5 meters.
Plugging these values into the formula, we get:
2/5 = (1/2)bh
b = (2/5) / [(1/2)(3/5)]
b = (2/5) / (3/10)
b = (2/5) * (10/3)
b = 4/3
Therefore,
The length of the base is 4/3 meters.
Learn more about triangles here:
https://brainly.com/question/25950519
#SPJ3
What is the slope of a line perpendicular to the line who’s equation is x-y=5 fully reduce your answer
Answer:
-1
Step-by-step explanation:
Use the slope intercept formula(y=mx+b) to find the slope of a line.
First, you will want to put everything into it's proper order, so you will get -y=-x+5.
You cannot have a negative y, so divide everything by -1 and you will get y=x-5.
1 is the slope. Now that you know that, you will want to find the reciprocal. To find the reciprocal, you will need to swap the numerator and the denominator and then swap it's sign, whether that is positive or negative..
The reciprocal of 1 is -1. -1 is the slope of the perpendicular line
pls help me answer this !!
We want our exponential function to look like
y = ab^x.
Let a = the initial y-value.
Our initial value is the first number given for f(x). So, a = 3.
Let b = the number that is needed to go from 3 to 6 to 12 to 24 to 48.
We find b by division.
So, b = the next number divided by the previous.
So, b = 6/3 = 2.
We now plug in our values into the general formula above.
y = ab^x
Answer: y = (3)(2)^x
solve for x. im pretty confused on how to do this i thought it was 60 but i was wrong
Answer: x = 12
Step-by-step explanation:
You're on the right track! You're right in saying that each angle has to be 60 degrees since they're supposed to add up to 180. However, the question is asking what x equals, so we set up the equation:
5x = 60
x = 12
Convert 20% into a fraction
ANSWER QUICKK
Answer:
1/5.
Step-by-step explanation:
20%
20/100
20/20 / 100/20
= 1/5
---
Hope this helps!
Answer:
20/100 or 1/5
Step-by-step explanation:
Imagine the percent as a lazily drawn 100. For example, 68% would also be 68/100, or simplified to 17/25
hope it helps! :3
What is x?
x/8 + 6 = 4
x=_?
Answer:x=-16
Step-by-step explanation:
Subtract 6 from both sides
x/8=-2
Multiply the number by 8 on both sides to get x by itself
x=-16
Hope you are having a good day and if you could, brainliest would be nice
What is the point slope form of the line with slope 2/5 that passes through the point (-4, -7)?
y+7=2/5(x+4)
y-7=2/5(x-4)
y-4=2/5(x-7)
y+4=2/5(x+7)
Answer:
A. y + 7 = 2/5(x + 4)
Step-by-step explanation:
gradient (m) = 2/5(x1, y1) → (-4, - 7)x1 = -4y1 = -7so,
[tex] \rm y - y1 = m(x - x1)[/tex]
[tex] \rm y - ( - 7) = \frac{2}{5} (x - ( - 4))[/tex]
[tex] \boxed{ \rm y + 7 = \frac{2}{5} (x + 4)}[/tex]
X=8
THE DIRECTIONS ARE ON THE TOP
Answer:
y = 40
Step-by-step explanation:
For #7, we are told that y = 10 when x = 2
We are also told that 'y varies directly as x'. That means there is some constant number, k, so that
Formula --> y = kx
Since y=10 and x= 2, we substitute those numbers into the formula.
We get 10 = k × 2.
So k has to be 5, right?
k = 5
So what is y when x = 8?
Use the formula.
y=kx ---> That gives us y = k × 8. But we know k is 5.
So y = 5 × 8 = 40
y = 40
9514 1404 393
Answer:
7. y = 5x; y = 40
8. y = 1/3x; y = 8/3
Step-by-step explanation:
In the direct proportion equation y=kx, the value of k can be found as ...
k = y/x . . . . . divide both sides by x to solve for k
__
7. k = 10/2 = 5
The equation is ...
y = 5x
For x=8, the value of y is found using the equation:
y = 5(8) = 40
__
8. Same deal, different numbers.
k = 6/18 = 1/3
y = 1/3x . . . . . the equation
y = 8/3 . . . . . y for x=8
62/8
With a remainder
Answer:
7 and 6/8
Step-by-step explanation:
Answer:
Step 1: 8 times what equals the closest number to 62?
Answer: 8*7=56
Step 2: what do you have left oveR?
answer: 6
Step 3: put it together.
ANSWER: 7 with a remander of 6 (7.6)
Step-by-step explanation:
7.6
sorry if it took to long i wanted to show you how to do it so next time you know:)
Brainliest is appreciated:)
Have a great day mate!
A cleaner recommends mixing 1½ cup of cleaner for every 12 cups of water. What is the ratio of cleaner to water in simplest form?
Answer:
Step-by-step explanation:
water:cleaner = 12:1.5 = 8:1
Answer:
15 cups ??? i dont know tho pay attention in class
Step-by-step explanation:
.....
suppose a graph shows that Jenny started with $3 and saved $2 each day. What would point (5,13) represent?
Answer:
5 is the amount of days shes been saving for
13 would be the total money she has now
Step-by-step explanation:
Days / Money saved
0 / 3
1 / 5
2 / 7
3 / 9
4 / 11
5 / 13
Y= 1/2x + 3
Y= 5
Can you please explain in steps?
Thank you in advance
Answer: x=4
For this equation, you are solving for x. So first you want to get the 1/2x on a side by its self to make it easier to solve. So to do that subtract both sides by 3. (2=1/2x) Once you do that multiply both sides by 2 to get rid of the 1/2 so x is on one side by itself. (4=x) And that's your answer!
Hope this helped you!
Solve the equation.
t-12=3
Answer:
t = 15
Step-by-step explanation:
t - 12 = 3
t = 3 + 12
t = 15
A number line going from negative 3 to positive 5. A closed circle is at 2. Everything to the right of the circle is shaded. Which inequality is graphed? 2 < x 2 > x 2 Less-than-or-equal-to x 2 Greater-than-or-equal-to x
Answer:
2 Less-than-or-equal-to x
Step-by-step explanation:
Select all the properties of a right triangle.
Group of answer choices
Has a right angle
Has one obtuse angle
Has perpendicular lines
Has three acute angles
Answer:
aaaaa
Step-by-step expaalanation:
aa
Answer:
It should be answers one and three
How do you solve this and what is the answer?
Answer:
Step-by-step explanation:
∠ABC = 1/2 ∠AOC
since we know ABC = 30° we can solve for AOC with a bit of Algebra
30 = 1/2 AOC
60 ° = AOC
:) does it make sense?
the formula about is for inscribed angles , that is an angle that touches the outside of the circle and then goes through the other side. :) Like ∠ABC
An inspector inspects a shipment of medications to determine the efficacy in terms of the proportion p in the shipment that failed to retain full potency after 60 days of production. Unless there is clear evidence that this proportion is less than 0.05, she will reject the shipment. To reach a decision, she will test the following a large-sample. To do so, she selects an SRS of 200 pills. Suppose that eight of the pills have failed to retain their full potency. The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ___. Round your answer to three decimal places.
Answer:
The sample proportion is p = 0.04.
Step-by-step explanation:
The best point estimate for a 95% confidence interval for the true proportion of pills in the shipment that have failed to retain full potency is ...
Sample of 200 pills.
Eight have failed to retain their full potency.
So the sample proportion is:
[tex]p = \frac{8}{200} = 0.04[/tex]
O
.
Suppose that you want to save money and would like to find a savings option that earns you the most
money in interest. You have $1000 to put towards savings. After surveying several banks for savings
plans, you found these options. "A" represents the amount you will have in the bank after x years.
Option A: Your money would receive simple interest at the end of 5 years.
The formula is: A = 1000 + 1000(0.05)x
Option B: Your money will be compounded continuously.
The formula is: A = 1000(2.71828)(0.05x)
Option C: You will invest in a CD (Certificate of Deposit) compounded yearly.
o The formula is: A = 1000(1.05)*
Option D: You buy a US Savings Bond.
The savings bond costs $1000 now. When cashed in 5 years later, the amount will be
$1267. You must leave the money in the savings bond for 5 years to earn any interest.
But, you do not receive any additional interest if you leave it in longer than 5 years.
O
1. Each option represents a function. State the type of function (linear, exponential, or "other")
described by each of the options. Explain your answers. (2 points)
2. Determine the value of each option at the end of 5 years. (2 points each; 8 points total)
Option A
Option B
Option
Option D
what is the y coordinate of 5, -6
Can anyone solo be this?
Answer:
x = 10
Step-by-step explanation:
Angles 12x and 10x + 20 are "vertical angles," meaning that they are identical (same value). Therefore we can write the equation 12x = 10x + 20, which reduces to 2x = 20, or x = 10.
Answer:
x=10
Step-by-step explanation:
Hey There!
Those are a pair of vertical angles
Therefore they are congruent
congruent meaning identical in form
So we would setup and equation and because the angles are congruent the equation would be
12x=10x+20 and solve for x
Step 1 subtract 10x from each side
10x-10x cancels out
12x-10x=2x
now we have
2x=20
Step 2 divide each side by 2
2/2 cancels out
20/2=10
Therefore x=10
To start factoring 2x2 - 5x - 3, we need to find two numbers whose sum (p + q) equals -5 and whose
product (p.q) equals
What value belongs in the blank?
Answer:
-6
Step-by-step explanation:
First we need to factorize the given expression
2x^2 - 5x - 3,
2x^2 - 6x+x - 3
The two number that we are going to use to split -5x are -6 and 1
Hence the required two numbers are -6 and 1
Let p = -6
Let q = 1
Taking their sump+q = -6 + 1 = -5
Take the product
p*q = -6 * 1
p*q = -6
hence the product is equal to -6
What is the sum of the interior angles of the polygon below?
A polygon with 5 sides.
°
Answer:
just draw a diagonal of the figure and you note it turns into two triangles.
hence sum = 2 × 180= 360 degree
Please help I have no clue lol
Answer:
x=12
y=44
z=25
Step-by-step explanation:
Since it's an equilateral triangle, all 3 angles have to equal 60.
5x=60
x=12
y+16=60
y=44
3z-15=60
3z=75
z=25
write an equation for a line with slope of 1/4 passing through -1,-5 in slope intercept form
Answer:
y = 1/4x - 19/4
Step-by-step explanation:
Use the equation y = mx +b
x (x coordinate) = -1
y (y coordinate) = -5
slope (m) = 1/4
Plug in!
-5 = 1/4(-1) + b
-5 = -1/4 + b
-5 + 1/4 = b (Add 1/4 to both sides)
-20/4 + 1/4 = b
-19/4 = b
y = 1/4x - 19/4
What is the area of this circle?
Answer:
area = 28.26 in²
Step-by-step explanation:
area = 3²(π) = 9(3.14) = 28.26 in²
Answer:
28.27 in^2
Step-by-step explanation:
Area of a circle = pi*r^2
pi*9=28.27
A private plane traveled from Seattle to a rugged wilderness, at an average speed of 132 mph. On the return trip, the average speed was 110 mph. If the total traveling time was 6 hours, how far is Seattle from the wilderness?
Answer:
Brainliest PLEASE!
Step-by-step explanation:
a = seattle
b = wilderness
t = time traveling at 132 mph
(4-t) = time traveling at 110 mph
distance traveled at 132 mph = 132(t)
distance traveled at 110 mph = 110(4-t)
but the two distances are equal so:
132t = 110(4-t), solving for t
t = 1.82 hrs
d= 1.82 hrs * 132 m/hr = 240 miles
I need help if you can help me I would really appreciate it
Answer:
A. f(x) = −2|x| + 1
Step-by-step explanation:
Solve the equation:
4+6k=4
Select one:
k=−20
k=20
k=0
k=12
Answer:
[tex]k = 0[/tex]
Step-by-step explanation:1) Cancle 4 on both sides.
[tex]6k = 0[/tex]
2) Divide both sides by 6.
[tex]k = 0[/tex]
Therefor, the answer is option C.