Answer:
7x-1/22 = 3x+1/10
Multiply both sides of the equation by the Lowest common Multiple of the denominators(22 and 10). This is done to clear the fractions.
The LCM of 22 and 10 is 110
So
110 x(7x-1/22) = 110 x (3x+1/10)
110/22 =5
110/10 = 11
So the eqn now becomes
5(7x-1) = 11(3x+1)
Opening the parentheses
35x - 5 = 33x + 11
Collect Like Terms
35x - 33x = 11 + 5
2x = 16
x= 8.
Given that f(x) = x^2 – 13x + 36 and g(x) = x – 9, find (f + g)(x) and express the result in standard form.
Answer: fx + gx
f(x) =x^2 -13x + 36
g(x) = x - 9
PLEASE HELP WILL MARK BRAINLYIST HELP
PART 1:
In the diagram below, ΔRST is a right triangle, write the equation you would use to solve for side RT. (For example, cos20 = 13/x )
PART 2:
Using the equation you wrote above, solve for side RT and round your answer to the nearest tenth.
Answer:
[tex](a)\ \sin(46) = \frac{8}{RT}[/tex]
[tex](b)\ RT = 11.1[/tex]
Step-by-step explanation:
Given
The attached triangle
Solving (a): Equation to determine RT
To do this, we apply sine formula
[tex]\sin(\theta) = \frac{Opposite}{Hypotenuse}[/tex]
This gives:
[tex]\sin(46) = \frac{8}{RT}[/tex]
Solving (b): Solve the equation
[tex]\sin(46) = \frac{8}{RT}[/tex]
Make RT the subject
[tex]RT = \frac{8}{\sin(46)}[/tex]
[tex]RT = \frac{8}{0.7193}[/tex]
[tex]RT = 11.1[/tex]
Lee Ran 100 meteres in 28.45 seconds. Jackie ran 100 meters in 30.29 seconds. How Much Longer did it take jackie than lee to run 100 meters?
Will Mark Brainliest if someone answer’s ,No Link’s
Answer:
1.84 meters
Step-by-step explanation:
Jackie: 30.29 meters - Lee: 28.45 meters = 1.84 meters
Enter the correct answer in the box. 1 The function Rx) = 7x + 1 is transformed to function g through a horizontal compression by a factor of 3. What is the equation of function g? Substitute a numerical value for k into the function equation.
Answer:
8
Step-by-step explanation:
Suppose that 70% of all Americans agree that a candidate is not trustworthy. A survey finds the 116 out of 200 agree that a candidate is not trustworthy. How likely is the result above to happen, if the sample is representative of the population?
Answer:
Prob = 0.00009 = 0.009% , Less Likely
Step-by-step explanation:
Using Binomial Distribution, Prob = N c r . ( P )^ r . ( Q ) ^ (n -r) .
,P = success probability, ie candidate considered be trustworthy = 70% = 0.7; N = trials = 200 ; Q = failure probability, ie non trustworthy = 1 - 0.7 = 0.3 r = no. of success = 116
Pr = 200c116 . (0.7)^116 . (0.3)^(200 - 116) = 200c116 (0.7)^116 (0.3)^84 = 0.00009 = 0.009%
Less probability means Less Likely
probability of an even number both times
Answer:
1/4
Step-by-step explanation:
The possible outcomes are :
1,2,3,4,5,6
We can see that there is a 3/6 (or 1/2) chance the outcome is even
Let E= odds of getting an even
we're looking for E∩E
Because each roll is independent of the last we can multiply to find their intersection
.5*.5= .25 or 1/4
What type of quadrilateral is DEFG? Select all that apply.
ty
F
E
6
2
G
2
D
o
2
A rhombus
B. parallelogram
C! square
DE
D trapezoid
Answer:
Rhombus
Square
Step-by-step explanation:
Given
Attached quadrilateral
Required
Select the type(s) of quadrilateral
From the attached image, we have:
[tex]DE = FG[/tex] -- Opposite, Parallel and Equal
[tex]EF = GD[/tex] -- Opposite, Parallel and Equal
Also:
[tex]DE = EF =FG = GD[/tex]
Since all 4 sides are equal, then it is neither a parallelogram nor a trapezoid
Hence, the shape is either a rhombus or a square
A scalar pipeline has 4 pipeline stages A, B, C, D. An operand entering this pipeline must be processed by the four units A-> B -> C -> D. Suppose that units A, B , D takes 2 ns to process an operand, and unit C takes 3 ns to process an operand. How many ns does it take for this scalar pipeline to process 1000 independent operations?
Answer:
The answer is "3006 ns"
Step-by-step explanation:
The time is taken by [tex]a,b, D = 2\ ns[/tex]
taking time [tex]= 3 \ ns[/tex]
first taking time [tex]= 2\times 3+3= 6+3=9[/tex]
Calculating the Rest taking 3 ns to process
For 1000:
[tex]= 9+ 3\times 999\\\\= 9+2997\\\\=3006\ ns[/tex]
What is the slope of the line that passes through the points (9, 5) and (21, 1)?
Write your answer in simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2-y_1}{x_2-x_1}[/tex]Step-by-step explanation:
Step 1: Define
Point (9, 5)
Point (21, 1)
Step 2: Solve for slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{1-5}{21-9}[/tex][Fraction] Subtract: [tex]\displaystyle m = \frac{-4}{12}[/tex][Fraction] Simplify: [tex]\displaystyle m = \frac{-1}{3}[/tex]A rectangle is removed from a right triangle to create the shaded region shown below. Find the area of the shaded region. Be sure to include the correct unit
in your answer.
4m
0
DO
BO
וח
m
m
2 m
х
4 m
3 ?
1
1
5m
Answer:
Step-by-step explanation:
4(x+2) help please.
Answer:
4x + 8
Step-by-step explanation:
4(x+2)
4*x + 4*2
4x + 8
[tex] \large\sf \leadsto 4(x + 2)[/tex]
[tex] \large\sf \leadsto 4 \times (x + 2)[/tex]
[tex] \huge\sf \leadsto \pmb {4x + 8}[/tex]
help me!!!!!!!!!plzzz
Answer:
B. 1/3
Step-by-step explanation:
Answer:
1/3
Step-by-step explanation:
add all the values 10+14+6=30 since red is 10 divide 10 by 30 so 10/30 simplifying to 1/3.
Need help ill give brainlest!!!!!!!!! HURRYYYY
Answer:
4
Step-by-step explanation:
hmm i dont know this is a pretty hard 1
the sum of 2 numbers is 65 and the difference is 7
Answer:
Hello There!!
Step-by-step explanation:
The answer is=>The sum is x + y = 65
The difference is x - y = 7 .....x = 7 + y
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
x + y = 65
x + 29 = 65
X = 36
The Sum: 36 + 29 = 65
The Difference: 36 - 29 = 7
hope this helps,have a great day!!
~Pinky~
Answer:
36 and 29
Step-by-step explanation:
The sum of the two numbers is 65 and their difference is 7. What are the two numbers? Let's start by calling the two numbers we are looking for x and y.
The sum of x and y is 65. In other words, x plus y equals 65 and can be written as equation A:
x + y = 65
The difference between x and y is 7. In other words, x minus y equals 7 and can be written as equation B:
x - y = 7
Now solve equation B for x to get the revised equation B:
x - y = 7
x = 7 + y
Then substitute x in equation A from the revised equation B and then solve for y:
x + y = 65
7 + y + y = 65
7 + 2y = 65
2y = 58
y = 29
Now we know y is 29. This means that we can substitute y for 29 in equation A and solve for x:
x + y = 65
x + 29 = 65
X = 36
Summary: The sum of two numbers is 65 and their difference is 7. What are the two numbers? Answer: 36 and 29 as proven here:
Sum: 36 + 29 = 65
Difference: 36 - 29 = 7
Please answer it. I will give brainliest if its correct..
First find the circumference of the circle:
Circumference = 2 x radius x pi
Circumference = 2 x 4 x 3.14 = 25.12 cm
Now arc ML is 100 degrees.
Multiply the circumference by the arc degree/360 ( 360 is a full circle)
25.12 x 100/360 = 6.98 cm
The answer is 6.98 cm
3 Select the correct answer. Which measure of center is the most appropriate for this data set? 20, 6, 42, 13, 15, 10, 9, 12, 12
A mean
B median
C mode
D mean absolutely median
Answer:
B median
Step-by-step explanation:
The median is the center of any data set
A dog breeder would like to know how many Dalmatian puppies are typically born in a litter. He conducts some research and selects a random sample of 101 Dalmatian birth records. He examines each birth record and identifies the number of puppies that were born in the litter. The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter and a standard deviation of 2.1 puppies per litter. He would like to estimate, with 99% confidence, the mean number of puppies born per litter for all Dalmatian births. Which of the following is the correct interval?
a. 6.2 ± 2.576(0.21)
b. 6.2 ± 2.576(2.1)
c. 6.2 ± 2.626(0.21)
d. 6.2 ± 2.626(2.1)
e. The confidence interval
Answer:
c. 6.2 ± 2.626(0.21)
Step-by-step explanation:
We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 101 - 1 = 100
99% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 100 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.626
The confidence interval is:
[tex]\overline{x} \pm M[/tex]
In which [tex]\overline{x}[/tex] is the sample mean while M is the margin of error.
The distribution of the number of puppies born per litter was skewed left with a mean of 6.2 puppies born per litter.
This means that [tex]\overline{x} = 6.2[/tex]
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 2.626\frac{2.1}{\sqrt{101}} = 2.626(0.21)[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
Thus, the confidence interval is:
[tex]\overline{x} \pm M = 6.2 \pm 2.626(0.21)[/tex]
And the correct answer is given by option c.
If I made $20 in 4 hours, what is the rate at which I made money?
Answer:
it would be five each hour.
Step-by-step explanation:
Jennifer is having a birthday party and spends a total of $136 on food. She spent $25 on a cake and $9.25 for each pizza. Write and solve an equation to determine how many pizzas, p, she bought.
Answer:
7
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
y=x+5
please help me with this problem I'm really struggling to answer the question.
Answer:12
Step-by-step explanation:just know i did it and got it right
if x varies inversely as y and x=2.5 when y = 40 , find y when x = 2
Answer:
2.5/40=2/y
2.5y=40x2
2.5y=80
y=80/2.5
y=32
At which value in the domain does f(x) = 0?
2
2
4
Answer:
4
Step-by-step explanation:
3. Find the lateral surface area of the figure
below.
No links please I really need an answer
Answer:
284 [tex]ft^{2}[/tex]
Step-by-step explanation:
Area of triangle = bh/2 = 4(8)/2 = 16
Area of both triangles = 32
Area of left face = bh = 8(12) = 96
Area of right face = bh = 9(12) = 108
Area of bottom = bh = 4(12) = 48
Total lateral area = 32 + 96 + 108 + 48 = 284
!!!MAJOR HELP AND NO LINKS AND IF YOU DONT KNOW BUT YOU STILL ANSWER, I WILL REPORT IF YOU SAY SOMETHING THAT IS NOT AN ANSWER!!!
What is the solution to the equation 7.5 minus X =2.8?
Image above
Answer: A
Step-by-step explanation:
4.7+2.8 = 7.5
And
7.5 -4.7 = 2.8
My usual workout consists of running 10 laps around a 400 meter track. If I go to a track that is only 250 meters long, how many laps will I need to run to get the same workout?
100 POINT QUESTION!!!
Answer:
16 laps
Step-by-step explanation:
400x10=4000
4000÷250=16
If 18 people share a barrel of apples equally,each gets 12 apples.if there had been 6 fewer people,how many apples would each person get ?
Answer:
18 apples
Step-by-step explanation:
If 18 people each get 12 apples, then the total number of apples is 18*12=216.
If there were 6 fewer people, there would 18-6=12 people.
To split the total 216 apples between 12 people, so 216/12=18.
Each person would get 18 apples.
A triangle has angles with measures of (3x) (2x - 13)", and (5x+3).
What is the measure of the smallest angle in the triangle?
O A. 17°
O B. 190
O c. 25°
OD. 57°
Answer:
c. 25°
Step-by-step explanation:
Sum of angles in a triangle:
The sum of the measures of the angles of a triangle is 180º.
In this question:
Angles of 3x, 2x-13 and 5x + 3.
The sum is 180º. So
[tex]3x + 2x - 13 + 5x + 3 = 180[/tex]
[tex]10x - 10 = 180[/tex]
[tex]10x = 190[/tex]
[tex]x = \frac{190}{10}[/tex]
[tex]x = 19[/tex]
Measure of each angle:
3x = 3(19) = 57º
2x - 13 = 2(19) - 13 = 38 - 13 = 25º
5x + 13 = 5(19) + 3 = 95 + 3 = 98º
The smallest angle is 25º, and the correct answer is given by option c.
A random survey at Disney World found that of 200 people
surveyed, 104 responded that their favorite Disney character
is Mickey Mouse. Based on that survey how many visitors can
we assume like Mickey Mouse if there are 25,000 people
visiting the park?
Answer:15,400 If u take the equation then the matric rule in the olastrophy and then use clastrophy you get the answer pretty simple
THE ANSWER IS :13,000
brainlest e answ eeeeee
Answer:
1/4
Step-by-step explanation:
The fraction can be reduced using 3
3/3 = 1
12/3 = 4
3/12 = 1/4
Answer:
1/4
Step-by-step explanation:
factors of 3: 1, 3
factors of 12: 1, 2, 3, 4, 6, 12
GCF is 3
3 / 3 x 12 / 3 =
1 / 4