Kevin from Pullman was offered a deal to write story problems for ST2 publishing Company. For every 5 he wrote he was paid $12.00. How much did Kevin get paid per problem?
Answer: $2.40
Step-by-step explanation:
If Kevin gets 12 dollars for every 5 problems, we will need to divide 12 by 5 to find the unit rate; how much Kevin gets for each problem.
12 ÷ 5 = 2.4, and in dollars it is equal to $2.40. Because of this, Kevin is paid $2.40 for each problem he makes for the ST2 publishing Company.
Suppose someone gives you 6 to 1 odds that you cannot roll two even numbers with the roll of two fair dice. This means you win 6 dollars if you succeed and lose 1 dollar if you fail. What is the expected value of this game to you. What can you expect if you play 200 times
Answer:
0.75 ;
150
Step-by-step explanation:
Probability of rolling two even numbers :
{1, 2, 3, 4, 5, 6}
P(even) = 3 / 6 = 1/2
From a roll of 2 dice :
P(even) * P(even) = 1/2 * 1/2 = 1/4 = 0.25
P(not even) = 1 - 1/4 = 3/4
X : ____ 6 _______ - 1
P(x) ____ 0.25 ____ 0.75
Expected value :
Σx*p(x) = (6*0.25) + (-1 * 0.75)
= 1.50 - 0.75
= 0.75
If 200 games are played :, n = 200
Expected value * n
0.75 * 200
= 150
Kris has 3 daughters who all live in different cities across Georgia. She wants to live somewhere that is an equal distance from each of her daughters. She mapped out the 3 cities and drew a triangle connecting them. How can she find a point on the map that is an equal distance from all 3 cities?
construct the incenter
construct the orthocenter
estimate the best place
construct the circumcenter
===========================================================
Explanation:
Consider triangle ABC. The vertex points are at A,B,C. These represent the three cities in which the three different daughters live. Constructing the circumcenter will produce a circle such that all three points A,B,C are on that circle. Let's say that D is the center of that circle.
This means that AD, BD, CD are all radii of this same circle. Radii of the same circle are the same length, which is why point D is equally distant from A,B,C. If the mother lives at point D, then she will travel the same distance to visit any three of her daughters. See the note below.
To construct the circumcenter, we form perpendicular bisectors to segments AB, BC and AC. Technically you only need two of them. All three of these perpendicular bisectors intersect at point D.
-------------
Note: Keep in mind that roads aren't completely straight, so that means we'll have to factor in the curvature of each road. But to keep things simple, we assume each road is a straight line segment.
ASAP PLEASE: 16 + 11(-2)2 - 25(⅖) =
Answer:
-38
Step-by-step explanation:
3(2h+5)+4 so i dont get what it is, can someone help please?
Answer:
An linear equation in one variable
Step-by-step explanation:
Variable:h
Equation:6h+19
a(-6)=-42
solve for a
Answer:
7
Step-by-step explanation:
Answer:
A = 7
Step-by-step explanation:
You would take -42/-6 because that will tell you what x -6=-42
-42/-6 = 7
Also. you have to remember that a negative divided or multiplied by a negative = a positive
A walkway goes through the middle of a square playground from one corner to the opposite corner. If the walkway is 20 meters long, how long are each of the sides of the playground? Round your answer to the nearest hundredths.
Need Help!
Which combinations hold the same amount of liquid as a 14-cup jug?
Answer:
b
Step-by-step explanation:
hbjbmnbbbbbbbbbbbbbbbbbbbbbbbbbbbbhbbbbbbbbbbbbbbb
The data above can be modeled by the function f(x) = 0.0425x^2 + 0.07381x - 0.49107 . Using this equation, predict the skid distance for a car that is driving 50 mph.
Answer:
f(50) = 109.44943 feet
Step-by-step explanation:
Modeling
The model of a situation where the skid distance f is measured against the car speed x can be expressed as:
[tex]f(x) = 0.0425x^2 + 0.07381x - 0.49107[/tex]
Using this equation, we can predict the skid distance for a car that is driving at x=50 mph by substituting in the equation of the model:
[tex]f(50) = 0.0425*50^2 + 0.07381*50 - 0.49107[/tex]
[tex]f(50) = 106.25 + 3.6905 - 0.49107[/tex]
f(50) = 109.44943 feet
what is the factored form of -40+2×^2-2x
Answer:
2(x - 5)(x + 4)
Step-by-step explanation:
Given
- 40 + 2x² - 2x , that is
2x² - 2x - 40 ← factor out 2 from each term
= 2(x² - x - 20) ← factorise the quadratic
Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (- 1)
The factors are - 5 and + 4 , since
- 5 × 4 = - 20 and - 5 + 4 = - 1 , then
x² - x - 20 = (x - 5)(x + 4) and
2x² - 2x - 40 = 2(x - 5)(x + 4) ← in factored form
please help me on this will give you brainliest!!
Answer:
0.926
Step-by-step explanation:
Since it ask as decimal you will have to 0. and then the number which 926. Hope this helps, thank you !!
PLEASE HELPPPPPPPP....?.......
If a+b=15 and ab=54 then find
1)
[tex] {a}^{2} + {b}^{2} [/tex]
2)
[tex](a - b )^{2} [/tex]
3)
[tex]a ^{2} - {b}^{2} [/tex]
Answer:
a = 9
b = 6
I hope you can do the rest yoyrself, as I coulsnt find how to type it out ;-;
Answer:
1) 117
2) 9
3) 45 or -45
Step-by-step explanation:
a=9
b=6
1) a²+b²=9²+6²=81+36=117
2) (a-b)²=(9-6)²=3²=9
3) a²-b²=81-36=45
It’s also possible that a=6 and b=9, in which case
1) (same)
2) (same)
3) 36-81=-45
Which statement is correct?
O A.
The opposite of the opposite of 6 is 6.
OB.
The opposite of the opposite of 1 is 1.
O C.
The opposite of the opposite of 3 is 0.
O D.
The opposite of the opposite of 5 is.
Answer:
I think its OB but I'm not sure
Step-by-step explanation:
A rectangular prism has a volume of 3,510 feet cubed. It has a height of 12
feet and a length of 13 feet. What is it's width? *
Answer:
22.5 feet.
Step-by-step explanation:
Volume = length * height + width, so:
3510 = 13 * 12 * width
So width = 3510 / (13*12)
= 22.5 feet.
Plz help now
We toss a die 4 times. among all possible outcomes how many have at least one occurrence of 1?
Answer:
4/24
Step-by-step explanation:
Robin has read 3/4
of a book. Mark said he had read 1/2
as much as Robin. What fraction of the book has Mark ready?
Answer:
3/8
Step-by-step explanation:
Answer:
3/8
Step-by-step explanation:
3/4 × 1/2 = 3/8I hope this helps!
Given: AD = BC and AD || BC
Prove: ABCD is a parallelogram,
A
В
Assemble the proof by dragging tiles to
the Statements and Reasons columns
Answer:Hope this helps!
Step-by-step explanation:
Simplify the expression:
-10(32-6)
—————
3
Answer: -260
Step-by-step explanation:
Answer:
-260
Step-by-step explanation:
First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.
So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.
So, -320 + 60 = -260
In a fish tank there are 10 fish. 5 are goldfish, 1 is an angelfish, and 4 are guppies. If a fish is selected at random, find the probability of getting a guppy or an angelfish.
Answer:
40% guppy 10% angel
Step-by-step explanation:
I need help I don’t get how to solve it plsss help me
Answer:
Step-by-step explanation:
They give you the equation, you must substitute the x values into the equation to find the y values.
Example on top equation:
y=-5x so the y values would be
y=-5(-1)=5
y=-5(0)=0
y=-5(1)=-5
y=-5(2)=-10
please explain i really don’t understand
Answer:
22.5°
Step-by-step explanation:
First we need to figure out the size of the interior angles on the inside.
The formula of figuring out the total degrees of all the interior angles of any shape is (n-2)×180°.
N is the number of sides.
If we substitute our number of sides (8) we get this:
(8-2)×180°
6×180° = 1080°
Then we divide 1080 by 8 since this is a regular octagon (all angles are equal in a regular shape).
1080° ÷ 8 = 135°
Focusing on the triangle now, we now know that the angle on the tip of the triangle is 135° as it has not been split by the line.
Using the rule of angles in a triangle add up to 180°. We do this sum:
180° - 135° = 45°
There are 2 angles left in the triangle so we do:
45° ÷ 2 = 22.5°
Therefore the angle of x is 22.5°.
In this linear equation what is the dependent variable y=2x+4
Answer: y
Step-by-step explanation:
The value of y is dependent on the x value. The x value can be anything you choose and is therefore independent of y.
The dinner bill came to $24.29 before tax and tip. If the taxes were 6% and they decided to leave an 18% tip, what was the total cost of the dinner?
Answer:
$30.64 +6% tax and 18% tip
Step-by-step explanation:
Hope it helps
I WILL MARK BRAINLIEST PLEASE HELP ASAP!!!!! Sketch a new graph of this relationship. The equation is y=7/4x
Answer:
Step-by-step explanation:
Miss Hillard is purchasing candy hearts to distribute to 28 students in her math class and Valentine's Day issue would like each students get a minimum of 15 candy hearts how many will she need to purchase
Answer:
She needs to buy 420 candy hearts.
Step-by-step explanation:
15*28 = 420
15 per student, and there is 28 students
The number of candy hearts that she needs to purchase will be 420.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
Miss Hillard is buying treats hearts to disperse to 28 understudies in her number-related class and Valentine's Day issue would like every understudy to get at least 15 sweets hearts.
Then the number of candy hearts that she needs to purchase will be given as,
⇒ 15 x 28
⇒ 420
The number of candy hearts that she needs to purchase will be 420.
More about the Algebra link is given below.
https://brainly.com/question/953809
#SPJ2
A motorcar is running at the rate of 66 km per hour. Each
of its wheels makes 500 revolutions per minute. Find the
radius of the wheel.
.(Ans: 35 cm)
Answer:
Given:
The radius of a wheel =r=35 cm=0.35 cm.
The speed it must keep =s=66 km/h=
60
66×1000
m/min=1100 m/min
To find out:
The number of revolution =n, it makes per minute to maintain that speed.
Solution:
The circumference =C of the wheel =2πr=2×
7
22
×0.35 m=2.2 m=C
The distance the wheel covers in 1 min=d=1100 m.
Now the distance =d covered by a wheel in one revolution = the circumference of the wheel.
∴ Here the number of revolution =n=
C
d
=
2.2
1100
=500.
Plants must break down the sugar in cells to obtain energy from the food that is produced. What is this
process called?
Respiration
Transpiration
Restoration
O Photosynthesis
Help
Answer:
Restoration I believe
I'm so sorry if I'm wrong
Step-by-step explanation:
Answer:
photosynthesis
Step-by-step explanation:
what is the appoximate distance between points d and e round your answer to the nearest hundreth
What is the function rule for this table? 10 POINTS! BRAINLIEST to correct answer!
28+c=36 what is the value of c
Answer:
to find the value of c, isolate it.
28 + c = 36
c = 36 - 28
c = 8
now, to check:
28 + 8 = 36 ✓