Answer:
2x i hope it is right good luck
A go-kart's gas tank holds 6 gallons of gasoline which will last 228 miles. How many miles can the go kart travel on 1 gallon of gasoline?
Answer:
1 mile of gas will go 38 miles.
Step-by-step explanation:
If 6 gallons goes 228 miles, how many does 1 gallon go? You would have to divide 228 by 6 in order to find how many miles are in one gallon.
OR, if you prefer algebra:
228 miles/ 6 gallon = (x) miles/ 1 gallon
Which would be 228/6 = x/1
4. Find the slope and y-intercept.
y= 1/5 x + 4
Answer:
The slope is [tex]\bold{\frac{1}{5}}[/tex] and the y-intercept is [tex]\bold{4}[/tex].
Step-by-step explanation:
We are given an equation in slope-intercept form (y = mx + b).
In this equation, we can define the following variables:
m = slopeb = y-interceptThe slope in an equation and of a line is the rise over run of a line. The numerator of the fraction will be how many y-coordinates the line will ascend or descend (depending on the sign). The denominator will signify how many x-coordinates the line will move to the left or the right.
The y-intercept is the coordinate at which the line crosses the y-axis. The value of x is 0 and the coordinate can be positive or negative.
Therefore, by looking at our equation, we can see that [tex]\frac{1}{5}[/tex] is the slope, and 4 is the y-intercept.
Why is 1/2 and 1/3 similar? Thank you!
What is the x-intercept of the function that fits the values in the table below?
Answer:
can you pls post the table
WHO KNOWS THIS QUESTION
Answer:
A
Step-by-step explanation:
Hope This Helps
The area of this trapezium is 180cm?
Work out X.
9cm
13cm
12cm
I need someone to explain me quickly.
If triangle KLM is congruent to NOP,find the perimeter.
Answer:
Finding x FIRST:
2x-9 = x+5
1x-9 = 5
1x = 14
x = 14
Perimeter = Add all sides
Perimeter of KLM = 15+(2x-9)+8
= 15+(2(14)-9)+8
= 15+(28-9)+8
= 15+19+8
= 42 units
PLS HELP DUE BY TMRW
10. A garden has an area of 400 m².
The garden is divided into 16 congruent square plots.
What is the side length of each plot?
Answer:
I think it is five meters
I NEED HELP ASAP!
You pick a card at random.
2345
What is P(odd or prime)?
Answer:
its odd because the last digit is odd.
Step-by-step explanation:
This table shows the input and output values for a linear function f(x).
What is the difference of outputs for any two inputs that are one value apart?
−30
−25
1
20
Answer: two of them are positive and negative
Step-by-step explanation: because there is -30 and -25 that is negative and 1 and 20 that are positive
(4,-6), y=-3 over 4x+1
Answer:
x= -3
4((4,−6)y−1)
Step-by-step explanation:
hope this helps :))
556775.55444 subtract 45654.4566
Answer:
511121.09784 <33
Step-by-step explanation:
Calculator :)
556775.55444 - 45654.4566 = 511121.09784
The table shows three transactions and the resulting account balance in a bank account, except some numbers are missing. Fill in the missing numbers.
Answer: A
Step-by-step explanation: Pic is attached. Hope this helps.
For Mother's Day the Flower Shoppe ordered 390 white roses, 1,100 red roses, 500 yellow carnations, and 560 pink roses. How many roses were ordered in all?
If a group of distinct objects can be arranged in 120 different ways, how many objects are there?
A. 3
B. 4
C. 5
D. 6
Answer:
B.4
Step-by-step explanation:
hope this helps:)
Answer:
Actually its option C. 5
Step-by-step explanation:
Trust me
n=120
n=5
Which of the following sets of numbers could represent the three sides of a triangle?
O {11, 17, 26}
O {8,10,19}
O {13, 22, 37}
O {8, 11, 20}
Answer:
it could be all of them
Step-by-step explanation:
Because all of them have 3 measures of length
An individual who has automobile insurance from a certain company is randomly selected. Let Y be the number of moving violations for which the individual was cited during the past 3 years. The pmf of Y is:
y 0 1 2 3
P(y) 0.50 0.25 0.20 0.05
Required:
a. Compute E(Y) and V(3Y−10)
b. Suppose an individual with Y violations incurs a surcharge of $(95Y2−25). Calculate the expected amount of the surcharge.
c. What is the standard deviation of surcharges?
Answer:
a.
E(y)=0.8
V(3y-10)=7.74
b.
The expected amount of surcharge is 117.5.
c.
The standard deviation of surcharges is 217.6723.
Step-by-step explanation:
a.
y 0 1 2 3
p(y) 0.5 0.25 0.2 0.05
y*p(y) 0 0.25 0.4 0.15
E(y)=sum(y*p(y))=0+0.25+0.4+0.15
E(y)=0.8.
y² 0 1 4 9
y²p(y) 0 0.25 0.8 0.45
V(y)=E(y²)-[E(y)]²
E(y²)=sum(y²*p(y))=0+0.25+0.8+0.45=1.5
V(y)=E(y²)-[E(y)]²
V(y)=1.5-[0.8]²
V(y)=1.5-0.64
V(y)=0.86
V(3y-10)=9V(y)=9*0.86=7.74
V(3y-10)=7.74
b.
E(95Y²-25)=95E(Y²)-25=95*1.5-25=142.5-25=117.5
E(95Y²-25)=117.5
The expected amount of surcharge is 117.5.
c.
SD(95Y²-25)=?
SD(95Y²-25)=√V(95Y²-25)
V(95Y²-25)=95²*V(Y²)
V(95Y²-25)=9025*V(Y²)
V(Y²)=E[(Y²)²]-[E(Y²)]²
y^4 0 1 16 81
y^4*p(y) 0 0.25 3.2 4.05
E[(Y²)²]=sum(y^4*p(y))=7.5
V(Y²)=E[(Y²)²]-[E(Y²)]²
V(Y²)=7.5-[1.5]²
V(Y²)=7.5-2.25
V(Y²)=5.25
V(95Y²-25)=9025*V(Y²)
V(95Y²-25)=9025*5.25
V(95Y²-25)=47381.25
SD(95Y²-25)=√47381.25
SD(95Y²-25)=217.6723
The standard deviation of surcharges is 217.6723.
A baseball bat cost $30 each from a manufacturer. If a store purchases more than 10 bats, the store receives a 15% discount on the total order. A store ordered 24 bats. What was the total amount of the order before sales tax?
Answer:
$612 was the total amount of the order before sales tax.
Step-by-step explanation:
30 × 24
720
$720 is the full order without the discount being applied
24 is more than 10 bats so the discount will be applied
Convert the percentage into a decimal (move the decimal place two places to the left)
(30 × 24) × (.15)
720 × .15
108
$108 is the discount off the full order of 24 bats
720 - 108
612
$612 is the full order, including the discount
There are 24 cookies for the price of 3.50 what is the price of one cookie
Answer:
Tu divises 3.50$ par 24 cookies donc environ 14 centimes
-3.2 x -5.6 x 4? PLEAEE HURRY!!!
Answer:
= −5.6^4 − 3.2x
Step-by-step explanation:
Answer: 71.68
Step-by-step explanation:
If you multiply the 2 negative numbers it will be 17.92 because the two negatives cross each other out. Multiply 17.92 and 4 it will be 71.68. Hope that helps!
Franco says that 9 is a prime number. Is Franco correct?
Answer: No he's wrong
Step-by-step explanation:
Somebody plz help with this asap
Answer:
i wish i could help you
Step-by-step explanation:
Please help me it’s due today please help me please please people help me please please
Answer:
a) 0≠ -10
b) x= -3
c)y= 0
Step-by-step explanation:
a) 3-4x=-7-4x
[tex]3-4x=-7-4x\\Adding \ 4x \ on \ both \ sides\\3-4x+4x=-7-4x+4x\\3-0=-7\\Adding \ -3\\3-0-3=-7-3\\0\neq -10[/tex]
So, this equation has no solution as both sides are not equal.
b) [tex]15-2x=-7x[/tex]
Solving:
[tex]15-2x=-7x\\Adding \ 2x \ on \ both \ sides\\15-2x+2x=-7x+2x\\15=-5x\\Divide \ both \ sides \ by -5\\x=-3[/tex]
So, this equation has one solution
c) 7(y-3)=6y-21
Solving:
[tex]7(y-3)=6y-21\\7y-21=6y-21\\Adding \ -6y \ on \ both \ sides\\7y-21-6y=6y-21-6y\\y=-21+21\\y=0[/tex]
So, this equation has one solution.
1. Write equation with no solution. 3-4x=-7-4x (check solution of a)
2. Write equation with one solution. 7(y-3)=6y-21 (check solution of c)
3. Write equation with infinite solution. 2x + 3 = x + x + 3
solving:
2x+3=2x+3
2x-2x+3=3
3=3
When both sides are equal, the equation has infinite solutions.
3×+4y=12
graph the equation.
A. write the equation in slope intercept form.
y=3/4×-3
B. identify the y- intercept.3
C. identify the slope.-3/4
Answer:
use desmos and then search up slope intercept calc to solve a
A fox can run at a speed of 42 miles per hour. How many feet per hour is this per hour is this? (There are 5,280)
Answer:
22/175
Step-by-step explanation:
42 = 1
5,280 = ???
5,280 x 1 : 42= 22/175
PLEASE PLEASE PLEASE HELP FAST!!!!!!!!!! WILL REPORT ANY TROLLS
ABC is an isosceles right triangle in which AB has a slope of -1 and mABC = 90°. ABC is dilated by a scale factor of 1.8 with the origin as the center of dilation, resulting in the image A'B'C'. What is the slope of B'C'?
A. - 1
B. 0
C. 1
D. 1.5
E. 2
Answer:
i think its 1.5 im not sure tho 1.5 sounds the best
Step-by-step explanation:
Answer:
C. 1Step-by-step explanation:
Given
ΔABC withSlope of AB = -1∠ABC = 90°This means that AB⊥BC
The dilation doesn't affect the shape of the triangle, therefore:
A'B' has slope of -1B'C' ⊥ A'B'Perpendicular lines have negative reciprocal slopes. In other words the product of the slopes is - 1.
Let the slope of B'C' is x, then:
-1*x = -1x = 1Correct option is C
7m - 3m-6 < 6 help pls
Answer:
m < 3
Step-by-step explanation:
7m-3m - 6 < 6
4m < 6 + 6
4m < 12
4m ÷ 4 < 12 ÷ 4
m < 3
Determine whether the following statement is true or false. 11 – 7 ≠ 4 and 2 – 0 > 0
Answer:
12
Step-by-step explanation:
Nikki used the calculations shown to determine whether a carton of 12 eggs or a carton of 18 eggs was the better buy. What was her first error
Answer:
She should have divided the cost of the carton by the number of eggs to find the price per egg.
Step-by-step explanation:
To obtain the graph of y = (x - 8)2, shift the graph of y = x2 units.
Answer: shift it to the right, 8 units
Step-by-step explanation:
Just did the question aswell
To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right.
How to work with shifts?We define a horizontal shift of N units for a function f(x) as:
g(x) = f(x + N)
If N is positive, the shift is to the left.If N is negative, the shift is to the right.In this case we have the functions:
g(x) = (x - 8)^2
f(x) = x^2
Comparing these, we can see that:
g(x) = f(x -8)
Meaning that g(x) is a shift of 8 units to the right of y = x^2
Then the complete statement would be:
"To obtain the graph of y = (x - 8)^2, shift the graph of y = x^2 8 units to the right."
If you want to learn more about translations, you can read:
https://brainly.com/question/17485121