Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: ( 0 , 0 ) x y 0 0 1 1
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A party planner estimates a party will cost $200 plus $8 for each person attending. What is the y-intercept of the graph of the linear function representing the total cost of the party?
Answer:
The y intercept is 200
Step-by-step explanation:
Given
Base Cost = 200
Per person =8
Required
Determine the y intercept
First, we need to determine the equation.
The total amount (y) for x persons can be calculated using:
y = Base Cost + Amount per person * x.
This gives
y = 200 + 8 * x
y = 200 + 8x
The general expression of a linear equation is:
y = mx + b
Where b = y intercept
By comparison,
b = 200
Hence, the y intercept is 200
Common factor 9 and 45
Answer:
Step-by-step explanation:
The gcf of 9 and 45 can be obtained like this: The factors of 9 are 9, 3, 1. The factors of 45 are 45, 15, 9, 5, 3, 1. The common factors of 9 and 45 are 9, 3, 1, intersecting the two sets above
what is one hundredth less than 0.549
Answer:
0.449
Step-by-step explanation:
one hundreth is this 0.100 so if u take that away from 0.549 u get 449
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Please help me with your the question attached below. Please show work I would like to learn this.
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Answer: m∠5 = m∠7 = 67°
because a//b => m∠4 + m∠5 = 180°
⇔ 113° + m∠5 = 180°
⇔ m∠5 = 180 - 113 = 67°
because ∠5 and ∠7 are 2 opposing angles
=> m∠5 = m∠7 = 67°
Step-by-step explanation:
Answer:
m ∠5 = 67°m ∠7 = 67°Step-by-step explanation:
Givena║b, m ∠ 113To findm ∠5, m ∠7SolutionAngles 4 and 5 are same side interior angles and their measures add up to 180° as per definition:
m ∠ 4 + m ∠5 = 180°m ∠5 = 180 ° - m ∠4 m ∠5 = 180° - 113° = 67°Angles 5 and 7 are vertical angles and they have equal measure as per definition of vertical angles:
m ∠7 = m ∠5 = 67°The next two terms of the sequence 4,7,10,13 are...and ----
What is the range?
-3 -8 -5 0 1 -2 -5 4 6
Answer:
14
Step-by-step explanation:
Range = Maximum value - minimum value
= 6 - (-8)
= 6 + 8
= 14
Answer:
8- -5 -3 -2 0 1 4 6
What is 3/5 by 1/2 reduced?
Answer: 1/10
Step-by-step explanation:
I think you mean 3/5 - 1/2?
we need to make the denominators the same, so we find the LCM of 5 and 2, which is 1, so we multiply them to get a common denominator of 10.
Now we multiply 3/5 by 2/2 to get 6/10, and 1/2 by 5/5 to get 5/10.
6/10 - 5/10 = 1/10
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A four-digit perfect square number is created by placing two positive two-digit perfect square numbers next to each other. What is the four-digit square number?
Answer:
1681
Step-by-step explanation:
In a four digit perfect square, the first two digits and last two digits taken seperately are also perfect squares.
Therefore, the answer is 1681 because 1681=41*41 and
16=4*4 and 81=9*9
There are 36 carpenters in a crew. On a certain day, 18 were present. What percent of the crew was present?
Answer:
On this day, 1/2, or 50%, of the crew was present.
Step-by-step explanation:
Simplify: 18/36 = 1/2
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A robot can complete 7 tasks in 2/5 hour. Each task takes the same amount of time.
a. How long does it take the robot to complete one task?
b. How many tasks can the robot complete in one hour?
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
What is mean by Fraction?
A fraction is a part of whole number, and a way to split up a number into equal parts.
Or, A number which is expressed as a quotient is called fraction.
It can be written as the form of p : q, which is equivalent to p / q.
Given that;
A robot can complete 7 tasks in 2/5 hour.
Each task takes the same amount of time.
Now,
Since, 7 tasks = 2/5 hour
So, 1 tasks = 2 / 5×7
= 2 / 35 hour
Thus, The robot take 2 / 35 hour to complete one task.
And, 2/5 hour = 7 tasks
So, 1 hour = 7 x 5 / 2
= 35 / 2
Thus, The robot complete 35/2 tasks in one hour.
Therefore,
a) The robot take 2 / 35 hour to complete one task.
b) The robot complete 35/2 tasks in one hour.
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Ben has a collection of Nickels and dimes has a total of $5.35 how maybe nickels and dimes does he need
Answer:
5.35$ worth
Step-by-step explanation:
just solve these 2 its prob easy i just too lazy to even try or think at the moment, want to go to bed...
Answer:
The correct option is 'No Solution'.
Step-by-step explanation:
Given the system of the equations
[tex]y=\frac{1}{2}x-1[/tex]
[tex]2x-4y=12[/tex]
solving the system of the equations
[tex]\begin{bmatrix}y=\frac{1}{2}x-1\\ 2x-4y=12\end{bmatrix}[/tex]
[tex]\mathrm{Subsititute\:}y=\frac{1}{2}x-1[/tex]
[tex]\begin{bmatrix}2x-4\left(\frac{1}{2}x-1\right)=12\end{bmatrix}[/tex]
[tex]2x-4\left(\frac{1}{2}x-1\right)=12[/tex]
[tex]2x-2x+4=12[/tex]
[tex]4=12[/tex]
as
4=12 is false, therefore the system of equations has no solution.
Therefore, the correct option is 'No Solution'.
A parallelogram is a rectangle if and only
if its diagonals are congruent.
Answer:
A parallelogram is a rectangle if and only if its diagonals are congruent. A rectangle is a parallelogram with four right angles. A rhombus is a parallelogram with four congruent sides. If a parallelogram has two consecutive sides congruent, it is a rhombus.
Step-by-step explanation:
A= 20 square root of 2
B= 5
C=20
D=10
Jane is a computer science major planning to take 4 courses next semester. She is planning to take 2 computer science courses and 2 courses from other areas. How many different schedules can she build?
Answer: 24 schedules.
Step-by-step explanation:
Given data:
Courses planning to take = 4
Computer courses = 2
Courses from other areas = 2
Solution:
This problem can be solved using permutation.
For Computer science courses.
npr = n! / ( n - r )!
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
For other courses.
Where n = 4
r = 2
4p2 = 4!/( 4-2)!
= 4!/2!
= 12
Jane can have a total of 24 different schedules.
If every 1 in 20 plants will not bear fruit. If 200 plants are planted, how many will produce fruit?
Answer:
Step-by-step explanation:
If 1 /20 will not bear fruit then
19/20. Will bear fruit
use ratio method
19/20 = x/200
find x by finding an equivalent fraction
x = 190
190 plants will produce fruit
Which set could represent P?