Answer:
4
Step-by-step explanation:
because if change to slope intercept form: y = mx+b
4=m
m=slope
Answer: Slope = -4.000/2.000 = -2.000
x-intercept = 285/2 = 142.50000
y-intercept = 285/1 = 285.00000
Step-by-step explanation: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*x+2*y-(12*48-2-4)=0
STEP
1
:
Pulling out like terms
1.1 Pull out like factors :
4x + 2y - 570 = 2 • (2x + y - 285)
Equation at the end of step
1
:
STEP
2
:
Equations which are never true:
2.1 Solve : 2 = 0
This equation has no solution.
A a non-zero constant never equals zero.
Equation of a Straight Line
2.2 Solve 2x+y-285 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line 2x+y-285 = 0 and calculate its properties
Graph of a Straight Line :
Calculate the Y-Intercept :
Notice that when x = 0 the value of y is 285/1 so this line "cuts" the y axis at y=285.00000
y-intercept = 285/1 = 285.00000
Calculate the X-Intercept :
When y = 0 the value of x is 285/2 Our line therefore "cuts" the x axis at x=142.50000
x-intercept = 285/2 = 142.50000
Calculate the Slope :
Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 285.000 and for x=2.000, the value of y is 281.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of 281.000 - 285.000 = -4.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)
Slope = -4.000/2.000 = -2.000
Geometric figure: Straight Line
Slope = -4.000/2.000 = -2.000
x-intercept = 285/2 = 142.50000
y-intercept = 285/1 = 285.00000
Bennett and his friends decide to go bowling. The cost for the group is $15 for
shoe rentals plus $4.00 per game. Determine the cost for 9 games. *
9 Games cost $51 in totality
Answer:
167
Step-by-step explanation:
15x9=135
4x9=32
135+32=167
Hope this helped!
63.7 x 10
94.6 x 10^3
0.38 x 10^2
Answer:
1.- 637
2.- 94.600
3.- 38
Step-by-step explanation:
whats the whole fraction for 7/12
Answer:
7/12
Step-by-step explanation:
How many solutions are there to 17-1/9x=10
Answer:
one solution
Step-by-step explanation:
Given
17 - [tex]\frac{1}{9}[/tex] x = 10 ( subtract 17 from both sides )
- [tex]\frac{1}{9}[/tex] x = - 7 ( multiply both sides by - 9 to clear the fraction )
x = 63
Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Answer:
$830
Step-by-step explanation:
Samer's salary each month is $3,650. He spends $1,160 on rent. He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Step 1
$3,650 - $1,160
= $2490
Step 2
He breaks the rest of his earnings into 3 other monthly expenses. How much money was in each part?
Hence,
$2490/3
= $830
The amount of money in each part = $830
A farm yielded 1200 bags of wheat in 2006 . This was was a 20% decrease in yield from 2005. what was the decrease in the number of bags?
Answer:
300 bags of wheat
Step-by-step explanation:
We can get the answer by using algebraic expressions. If 1,200 bags means a 20% decrease in the yield from 2005, then it is 80% of the yield in 2005.
Let's solve.
Let x be the number of bags yield from 2005.
We can say: 1,200 is 80% of x
1,200 = 80% of x
1,200 = 0.80(x)
x = [tex]\frac{1,200}{0.80}[/tex]
x = 1,500
The number of bags yield from 2005 is 1,500.
Let's check.
Let x be the decrease in yield.
1,500 x 20% = x
1,500(0.20) = x
x = 300
The 20% decrease in yield is equal to 300 bags of wheat.
1,500 - 300 = 1,200 bags
The answer is correct.
2 and 1/6 divided by 4 and 1/3, help pls
Answer:
The answer is 1 9/19
Step-by-step explanation:
Santa's sleigh covered a total distance of 5797 kilometres averaging a speed of 38
km/h in snow storm conditions and 91 km/h in clear skies. His deliveries took 87
hours. How many hours did Santa spend in snow storms? (Hint distance = speed
x time)
Answer:
152.6 hours
Step-by-step explanation:
Distance = Speed × Time
Time = Distance/Speed
Santa's sleigh covered a total distance of 5797 kilometres averaging a speed of 38 km/h in snow storm conditions
Hence: Time Santa spent in snow storms is calculated as:
5797km ÷ 38 km/h
= 152.55263158 hours
Approximately = 152.6 hours
Find the measure of the exterior angle. ILL GIVE BRAINILEST
Answer:
108°
Step-by-step explanation:
In order to find the measure of the exterior angle, we first need to solve for a. We know that the sum of a triangles' angles is always 180°.
Now we set up an equation:
180 = 44 + (a + 10) + (180 - 2a)
180 = 44 + a + 10 + 180 - 2a
180 = -a + 234
-54 = -a
54 = a
Because we know that a = 54, we can now solve for the exterior angle:
2(54) = 108
Therefore, the measure of the exterior angle is 108°.
Help finding angle 1,2,3
Please help!! ASAP!!! Top 3 mainly
Step-by-step explanation:
Rules:
[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]
[tex] \sqrt[n]{a^m} = a^{\frac{m}{n}} [/tex]
1.
[tex]\sqrt[3]{2} = 2^{\frac{1}{2}}[/tex]
2.
[tex] \sqrt[3]{2x^2} = \sqrt[3]{2} \sqrt[3]{x^2} = 2^{\frac{1}{3}}x^{\frac{2}{3}} [/tex]
3.
[tex]\sqrt[3]{(2x)^2} = \sqrt[3]{4x^2} = \sqrt[3]{4} \sqrt[3]{x^2} = 4^{\frac{1}{3}}x^{\frac{2}{3}}[/tex]
Mr.Webb wants to give each of his 7 dogs no more than 10 treats. how many treats does he need? (let t= the number of treats)
Answer:
70
Step-by-step explanation:
7x10=70
Answer:
7x10=70 :)
Step-by-step explanation:
In circle A, ZBAE ZDAE.
What is the value of x?
Answer:
x = 17
Step-by-step explanation:
Assuming that angle BAE and angle DAE are congruent, we want to set the equations 3x - 24 and x + 10 together to make it like this 3x - 24 = x + 10. Subtract x on both sides to get 2x - 24 = 10. Add 24 on both sides to get to this equation 2x = 34. Divide 2 on both sides to get your x value which is 17.
Which table contains the values that satisfy equation y=0.5×+12
Answer: 6
Step-by-step explanation:
Maybe
In triangle ABC, m A = 55°, m B = 30°, and a = 8. Which equation should you
solve to find b?
Need help ASAP !!!!
The equation we should solve to find b is option A:sin 55°/b = sin 30°/8
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationships between the sides and angles of triangles.
We can use the law of sines to solve for the missing side length of the triangle. The law of sines states that the ratio of the length of a side of a triangle to the sine of the angle opposite that side is constant for all sides of the triangle. In other words:
a/sin A = b/sin B = c/sin C
where a, b, and c are the side lengths of the triangle, and A, B, and C are the angles opposite those sides.
Using this formula, we can write:
b/sin B = a/sin A
Substituting the given values, we get:
b/sin 30° = 8/sin 55°
Now, we can solve for b by cross-multiplying:
b = 8(sin 30° / sin 55°)
Therefore, the equation we should solve to find b is option A:
sin 55°/b = sin 30°/8
Note that options B and C have the sine and cosine terms reversed, respectively, and option D uses the law of cosines, which is not necessary to solve this problem.
To learn more about trigonometry from the given link:
https://brainly.com/question/29002217
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The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes. An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch. Calculate the mean and standard deviation of the number of forms with mistakes she should expect to find.
Answer:
Mean = 2
Standard deviation = 1.356
Step-by-step explanation:
We are given;
Probability of taxpayers that make mistakes when filling out forms: p = 0.08
Sample size; n = 25
In binomial distribution;
Means is;
μ = np
Thus;
μ = 25 × 0.08
μ = 2
Formula for standard deviation here is;
σ = √(np(1 - p))
σ = √(25 × 0.08(1 - 0.08))
σ = 1.356
The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
Given that,
The Internal Revenue Service estimates that 8% of all taxpayers filling out forms make mistakes.
An IRS employee announces at lunch one day that she is going to check 25 randomly selected forms after lunch.
We have to determine,
The mean and standard deviation of the number of forms with mistakes she should expect to find.
According to the question,
Probability of taxpayers that make mistakes when filling out forms: p = 8%= 0.08
And sample size; n = 25
Therefore,
In binomial distribution mean is determine by the formula,
[tex]\mu = np\\\\\mu = 25 \times 0.08\\\\\mu = 2[/tex]
The mean of the number of forms with mistake she should expect to find is 2.
And, Standard deviation is determined by the formula,
[tex]\sigma = \sqrt{np(1-p)}\\\\\sigma = \sqrt{25\times 0.08 (1-0.08)}\\\\\sigma = \sqrt{2\times0.92}\\\\\sigma =\sqrt{ 1.84}\\\\\sigma = 1.356[/tex]
The standard deviation of the number of forms with mistake she should expect to find is 1.356.
Hence, The required mean is 2 and standard deviation is 1.356 of the number of forms with mistakes she should expect to find.
To know more about Standard deviation click the link given below.
https://brainly.com/question/19793958
7. Solve the equation.
6(x - 2) = 36
0-8
04
04
08
What one
Answer:
8
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Step-by-step explanation:
Step 1: Define
6(x - 2) = 36
Step 2: Solve for x
Divide 6 on both sides: x - 2 = 6Add 2 on both sides: x = 8According to the outline, which statements represent possible problems? Check all that apply. The city streets are overcrowded with cars. A subway system should be built. Money should be put toward public transportation. There is a lot of noise pollution. People should carpool to school and work.
Answer:
It is A and D
The city streets are overcrowded with cars
There is a lot of noise pollution
Step-by-step explanation:
The correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.
What is Government?A government is the system or group of people governing an organized community, generally a state
The following statements represent possible problems:
The city streets are overcrowded with cars.
The noise level is raising.
And the following statements are possible solutions:
More money from the city government should go to public transportation.
A subway system should be built.
People should be encouraged to carpool to work and school.
Therefore, the correct answers are the city streets are overcrowded with cars and there is a lot of noise pollution.
To learn more on Government click:
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Need help immediately!!!!!!!
Answer:
C)
The rate of change/slope is constant, when you calculate it for this problem, it doesn't change for any amount of marbles listed in the table
A pentagon has 3 congruent sides and 2 other congruent sides. The perimeter of the pentagon is 36 centimeters. The three long congruent sides are 2 centimeters longer than the two shorter congruent sides.
Let x = length of a short side
Let y = length of a long side
The system of equations can be used to represent the situation.
y = x + 2
2x + 3y = 36
What is the length of one of the shorter congruent sides?
Answer:
The shorter side of pentagon is 6cm long
Step-by-step explanation:
Given two equations are:
[tex]y = x + 2\\2x + 3y = 36[/tex]
We can use any one of the methods to solve the simultaneous linear equations
As it is also given that x is the length of shorter side, we have to find the value of x
Using the substitution method
We will put the value of y i.e. x+2 in the 2nd equation
So,
[tex]2x+3(x+2) = 36[/tex]
Simplification gives us:
[tex]2x+3x+6 = 36\\5x+6 = 36\\5x = 36-6\\5x = 30\\x = \frac{30}{5}\\x =6[/tex]
Hence,
The shorter side of pentagon is 6cm long
PLEASE HELP ME I DONT KNOW HOW TO ANSWER THIS
Answer:
I think its SAS but it i took geometry 2 years ago so im not 100% sure
Step-by-step explanation:
On a field trip ,there are 3 adults for every 45 students .which graph models a relationship with the same unit rate
Answer: bbb
Step-by-step explanation:
Simplify to create an equivalent expression. 1+4(6p−9)
There are 60 dogs at a doggie daycare one Friday. If 1/3 of the dogs are large dogs, 1/6 of the dogs are medium-sized dogs, which statement is true
and the remaining dogs are small dogs, which statement is true?
A. There are 10 less large dogs than small dogs at the daycare.
B. There are 10 more large dogs than small dogs at the daycare
C. There are 20 less dogs than small dogs at the daycare.
D. There are 20 more large dogs than small dogs at the daycare .
Answer:
Step-by-step explanation:
D
Answer:
I think its B
Hope this helps
Determine whether the ordered pair (10, 4) is solution to the equation 3x - 5y = 10
yes or no
Answer:
yes
Step-by-step explanation:
(10, 4):
x=10
y=4
3(10) - 5(4) = 10
30 - 20 = 10
Order the values from least to greatest.
8, |3|, -5, |-2|, -2
Step-by-step explanation:
-5 , -2, |-2| ,|3|, 8
the absolute value makes the sign positive no matter what, for example |-2| becomes 2
Help me pls, I tried to do it and got the incorrect Anwser
8. How many times would an athlete run around the field shown to cover a distance of 2km?
101m
163m
Step-by-step explanation:
1km=1000m
so 2×101=202
then divide by 60 min
so 202÷60=3.36
Find the difference.
2 - 11 =
Two minus eleven equals -9!
Answer:
one tight slape you must get from your maths teacher
it will be -9
Can I get the answer please
Answer:
C
Step-by-step explanation:
first equation is y=3/4x+2
second equation is -2x+17