Answers
Answer:
(21, 8)
(3, 2)
(-15, -4)
Step-by-step explanation:
First we need to create the equation in y=mx +b form.
(m) is slope [rise/run]
(b) is y intercept
The line crosses the y axis at (0,1) so that's our (b) and to find slope we will find a point where ethe line crosses a point, I'll use (0, 1) and see how many it has to go to reach the next point. In this case it has to go up 1, and right 3.
Our slope is 1/3.
y=1/3x+1.
Now we can start applying the given points.
(21, 8)
8=1/3(21)+1
8=7+1
8=8.
(21, 8) is a solution.
(3, 2)
2=1/3(3)+1
2=1+1
2=2
(3, 2) is a solution.
(-15, -4)
-4=1/3(-15)+1
-4=-5+1
-4=-4
(-15, -4) is a solution.
(12, 9)
9=1/3(12)+1
9=4+1
9=5
(12, 9) is not a solution.
(-6, 1)
1=1/3(-6)+1
1=-2+1
1=-1
(-6, 1) is not a solution.
Hope this helps! If you have any questions on how I got my answer feel free to ask. Stay safe!
Related Questions
What is the difference of the fractions? Use the number line to help find the answer. 1 3 5 4 -1 ok -12 -10 8 20 20 000 0 10 12 14 16 18 20 O 19 20 о O 11 20 O 20 19 20
Answers
Answer: -11/20
Step-by-step explanation:
1/5-3/4= 4/20-15/20= -11/20
Answer:
The answer is -11/20 aka b
Step-by-step explanation:
A turtle walks of a mile in 40 minutes. What is the unit rate when the turtles speed is expressed in miles per hour (60 minutes)? (needs to be a denominator)
Answers
Answer:
1.5 miles per hour.
Step-by-step explanation: Because is a turtle walks a mile in 40 minutes then half of that is 20 or half a mile which that 40 minutes plus 20 minutes is 60 minutes.
A car factory is able to produce 120 cars per day. A new technology innovation improves the production by 10%. How many cars can the factory now produce in 5 days?
Answers
Explanation
120x1.1=132
132x5= 660
help me and ill give you like and brainliest
Answers
Answer:constrictive intergers
Step-by-step explanation:
Answer:
[tex]140,141,142,143[/tex]
Step-by-step explanation:
[tex]Let \: x \: be \: the \: lowest \: number .\\ We \: have \: an \: equation:x + (x + 1) + (x + 2) + (x + 3) = 566 \\ \Leftrightarrow 4x + 6 = 566 \\ \Leftrightarrow 4x = 560 \\ \Leftrightarrow x = 140 \\ \Rightarrow 4 \: consecutive \: numbers:140,141,142,143[/tex]
can someone help me plz 2a+1=1
Answers
Answer:
0
Step-by-step explanation:
2a+1=1
2a=0
--- ---
2 2
a=0
Answer:
A=0
Step-by-step explanation:
2a+1=1
2a=1-1 (i moved +1 to the other side ...coz our goal is to isolate "a", and in order to do this, look for numbers that are freer)(moving the +1 to the other side made it -1)(you just need to remember that when we move any number to the other side it will claim its opposite operation so +1 will turn to -1)
2a=0 (1-1=0)
a=0/2 (now, 2 is being multiplied with a, and to isolate "a" we move 2 to the other side, and this will make to divide ((because the opposite of multiplication is division)) )
a=0 (the ans!)
in the picture below solve for X
Answers
Answer:
x = 7
Step-by-step explanation:
-4 + 12x = 11x + 3
- 11x - 11x
-4 + x = 3
+ 4 + 4
x = 7
Gavin works as a salesperson at an electronics store and sells phones and
phone accessories. Gavin earns a $12 commission for every phone he sells
and a $3.50 commission for every accessory he sells. On a given day, Gavin
made a total of $135 in commission and sold 12 more accessories than
phones. Determine the number of phones sold and the number of accessories
sold.
Answers
Answer: Hence, there are 6 phones and 18 accessories sold.
Since we have given that
Let number of phones sold be 'x'
Let number of accessories sold be 'y'.
Commission for every phone = $12
Commission for every accessory = $3.50
Total commission = $135
And Difference between accessories and phones sold = 12
According to question, we get that
Using both the equations, we get that
x=6 and y = 18
solve for x please
Answers
Answer:
129
Step-by-step explanation:
The sum of all angles in any quadrilateral is 360°
so, you can make the following equation:
71 + 48 + 112 + x = 360
231 + x = 360
Subtract 231 from both sides of the equation
231 + x - 231 = 360 - 231
x = 360 - 231
x = 129
Step-by-step explanation:
The given image is a trapezium. A trapezium is a quadilateral. Hence , it's sum of angles is 360°
To solve for x ;
[tex]71° + 48° + 112 ° + x° = 360° \\ 231 + x = 360 \\ x = 360 - 231 \\ x = 129[/tex]
Write the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5).
Answers
Answer:
y = 2/5x - 3
Step-by-step explanation:
First, we have to know what the slope is. Being perpendicular to -5/2, the slope becomes 2/5.
Then, you substitute the slope and given point into the equation to find the y-intercept.
y = 2/5x + b
(-5) = 2/5(-5) + b
(-5) = (-2) + b
b = -3
So, the equation is
y = 2/5x - 3
The equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
We have the Equation,
y= -5/2x + 1
Here, the slope is -5/2.
Since perpendicular line have negative reciprocal of the slope of the given line.
So, the slope of the line perpendicular is 2/5.
Using point-slope form of the equation to find the equation of the perpendicular line.
The point-slope form is given by:
y - y1 = m(x - x1)
Using the point (-5, -5) and the slope 2/5,
y - (-5) = 2/5(x - (-5))
y + 5 = 2/5(x + 5)
y + 5 = 2/5x + 2
y = 2/5x - 3
Therefore, the equation of the line perpendicular to y = -5/2x + 1 that passes through the point (-5, -5) is y = 2/5x - 3.
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What is the equation of this line in slope intercept form? 2x+y=−19
y=−2x−19
y=2x+19
y=2x−19
y=−2x+19
Please help
Answers
Your answer is: y= -2x-19
What is the common ratio:The sequence 200, 100, 50, 25, ... has a common ratio of___
Answers
Answer:
answerr is This is a geometric sequence since there is a common ratio between each term. In this case, multiplying the previous term in the sequence by
1
2
gives the next term. In other words,
a
n
=
a
1
⋅
r
n
−
1
.
Geometric Sequence:
r
=
1
2
This is the form of a geometric sequence.
a
n
=
a
1
r
n
−
1
Substitute in the values of
a
1
=
200
and
r
=
1
2
.
a
n
=
(
200
)
⋅
(
1
2
)
n
−
1
Simplify the expression.
Tap for more steps...
a
n
=
200
⋅
1
2
n
−
1
Combine
200
and
1
2
n
−
1
.
a
n
=
200
2
n
−
1
The common ratio is 1/2.
Given that
The sequence 200, 100, 50, 25.
How to find the common ratio?The common ratio is determined by dividing the second term by the first term.
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}[/tex]
Here, the second term is 100 and the first term is 200.
Then,
The common ratio is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{100}{200}[/tex]
[tex]\rm Common \ ratio = \dfrac{1}{2}[/tex]
The common ratio between third term 50 and second term 100 is;
[tex]\rm Common \ ratio = \dfrac{Second \ Term }{First \ Term}\\\\\rm Common \ ratio = \dfrac{50}{100}\\\\\rm Common \ ratio = \dfrac{1}{2}[/tex]
Hence, the common ratio is 1/2.
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Find the equation of the line that contains the point (-1, -7) and is parallel to the line 4x + 5y = 9. Write the equation in slope-intercept form, if possible.
Answers
Answer:
4*1+5*1=9
Step-by-step explanation:
Hope this helps. :)
simplify 6 + 15 x 72=
Answers
Answer:
1086
Step-by-step explanation:
BODMASS (Multiplication first, addition after)...
15×72= 1080
1080+6= 1086
hope it helps
Because of PEMDAS, Simplify 15x72 first. That will bring you to 1080. After that we add 6 to the 1080 because you always do Multiplication first. Your answer would be 1086 if you followed PEMDAS correctly.
PEMDAS:
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtraction
That's the order of operations if you ever want to know what to do first.
Use the table to find the ratio. Enter the ratio as a fraction in simplest form.
Color of socks
Numberof socks
white
black
blue
brown
3
8
6
3
The ratio of white socks to brown socks is
Answers
Find the volume of the solid formed by rotating the region bounded by the given curves about the indicated axis. y = x3/4, x = 0, y = 1 (in the first quadrant); about the y-axis
Answers
The volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
To find the volume of the solid formed by rotating the region bounded by the curves y = x³/4, x = 0, y = 1 in the first quadrant about the y-axis, we can use the method of cylindrical shells.
The formula for the volume using cylindrical shells is:
[tex]\mathrm V = \int\limits^a_b {2\pi \mathrm x \times \mathrm f(x)} \, dx[/tex]
Where:
a and b are the limits of integration (in this case, a = 0 and b = 1 since we are rotating in the first quadrant).
f(x) is the height of the shell at the given x-value.
2πx is the circumference of the shell at the given x-value.
In this case, we need to express y = x³/4 in terms of x to find the function f(x).
Given: y = x³/4
To find the function in terms of x, solve for x:
[tex]x = (4y)^{(1/3)[/tex]
Now, the function f(x) becomes:
[tex]\mathrm f(x) = (4x)^{(1/3)[/tex]
Now, let's calculate the volume using the cylindrical shell method:
[tex]\mathrm V = \int\limits^1_0 {2\pi \mathrm x \times \mathrm 4x^{1/3}} \, dx[/tex]
[tex]\mathrm V = 2\pi \int\limits^1_0 { x^{4/3}} \, dx[/tex]
To integrate, add 1 to the exponent and divide by the new exponent:
[tex]\mathrm V = 2\pi \times (3/7) \times x^{(7/3)} |^0_1[/tex]
Now, evaluate the expression at the limits of integration:
[tex]\mathrm V = 2\pi \times (3/7) \times (1)^{(7/3)} - 2\pi \times (3/7) \times (0)^{(7/3)[/tex]
[tex]\mathrm V = 2\pi \times (3/7) - 0[/tex]
[tex]\mathrm V = 6\pi/7[/tex]
So, the volume of the solid formed by rotating the region about the y-axis is 6π/7 cubic units.
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Eric had $15.00 to spend on paints, which sold for $1.14 each. How many jars of paint can he buy?
13
14
15
16
Answers
Answer:
13
Step-by-step explanation:
so you take $15 ÷ $1.14 = 13.15789. so you round it to 13
I really need help with the first one, so I can do the rest of anyone could help I’d be so grateful.
Answers
Answer:
1) a = 1 ; b = 5 ; c = 0
2) a = 1 ; b = 3 ; c = 10
3) a = -5 ; b = -7 ; c = 2
4) a = 1 ; b = 2 ; c = -9
5) a = -7 ; b = 6 ; c = -1
6) a = 4 ; b = -10 ; c = -7
Step-by-step explanation:
a , b & c are just coefficients of the equation
Answer: [tex]x^{2}[/tex] =5x=0
Step-by-step explanation:
You are going to make three shelves for your father and have one piece of lumber 20 feet long. Your plan is to make the top shelf half a foot shorter than the middle shelf and to have the bottom shelf half a foot shorter than twice the length of the top shelf. How long is each shelf? t= length of the top shelf t=m-1/2 m = length of middle shelf b = length of bottom shelf. B=2t-1/2 t+m+b=20
Answers
Answer:
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
Step-by-step explanation:
Let t= length of the top shelf, m = length of middle shelf and b = length of bottom shelf.
Therefore:
t = m - 1/2; m = t + 1/2
Also, b = 2t - 1/2
The total of the three shelves is 20 feet, therefore:
t + m + b = 20
Substituting:
t + t + 1/2 + 2t - 1/2 = 20
4t = 20
t = 20/4
t = 5 feet
m = t + 1/2 = 5 + 1/2 = 5.5 feet
b = 2t - 1/2 = 2(5) - 1/2 = 9.5 feet
The top shelf is 5 feet, the middle shelf is 5.5 feet and the bottom shelf is 9.5 feet
What is the range of {( -1,6), (2,0), (9,-3), (-4,6)}
Answers
Answer:
Range: {6,0,-3}
Step-by-step explanation:
Jennifer wants to buy new basketball shoes. She has $45 and plans to save $35 a week. How many weeks would she need to save if the shows cost a total of $115
Answers
Answer:
Jennifer will need to save 35$ for 2 weeks.
NEED HELP ASAP!!!! please !!!!
Answers
Which represents an exterior angle of triangle EGF?
O ZMEG
O ZNEG
O ZPEQ
O ZRFS
Answers
Answer:
The correct answer is:
ZNEG/∠NEG
Step-by-step explanation:
An exterior angle is one outside the triangle that is formed by extending two of the sides of the triangle. Angle NEG is formed by extending EG and EF; this makes it an exterior angle.
please answer the question below
Answers
Answer:
8 mm
Step-by-step explanation:
I really need an answer now
Answers
Answer:
the second one
Step-by-step explanation:
2(14-3)=22
Step-by-step explanation:
[tex]{{\boxed{\sf{\pink{Hello \: mate \: (◕ᴗ◕✿) }}}}} \\ \\ \mathfrak\red{Hope \: it \: helps \: you \: }[/tex]
The principal would like to assemble a committee of 7 students from the the 11 member student council. How many different committees can be chosen?
Answers
Answer:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Step-by-step explanation:
The principal would like to assemble a committee
of 8 students from the 15-member student council.
How many different committees can be chosen?
1) 120 2) 6,435 3)
Answer:
Step-by-step explanation:
Remark
This problem only wants to know how many ways to select 7 starting from a base of 11.
Nothing else matters. Not grades, not gender, not age, not qualifications, not order -- nothing. Just 7 out of 11.
That problem is a combination and is written as
(11)/(7)
The formula used is
11! / (7! (11 - 7)! )
11! /( 7! 4!) = 11 * 10 * 9 * 8 * 7! / (7! * 4!) The 7! s cancel out
11 * 10 * 9 * 8 / 4 * 3 * 2 * 1 = 330
Bunny works as a furniture salesperson and earns a base salary of $400 per week plus 5.5%n commission on sales. What was bunny's weekly gross salary if her total sales was $3300
Answers
Answer:
4x67€hus de tus nos cos
472 students are going on a field trip. 120 students will be returning home and the rest will be spending the night in cabins. If 8 people can sleep in one cabin, how many cabins need to be rented for the students?
Answers
470 kids went on the trip, and 120 students returned home, the total of kids staying is 350.
One cabin= 8 students
The equation i came up with is 350/8 = 43.75
They need 44 cabins to fit all the kids
If the graph of the linear equation ax-8y=15 has an x-intercept at (3,0), then what is the value of a?
Answers
====================================
Work Shown:
Plug in (x,y) = (3,0)
ax - 8y = 15
a(3) - 8y = 15 .... replace x with 3
3a - 8(0) = 15 ... replace y with 0
3a - 0 = 15
3a = 15
a = 15/3
a = 5
The equation updates to 3x - 8y = 15.
LA DISTANCIA ENTRE LA TIERRA YLA LUNA ES DE 384 392 KM. LOS AUSTRONAUTAS DE LA APOLO XL SALIERON EL 16 DE JULIO DE 1969 DESDE EL CENTRO ESPACIAL KENNEDY Y ALCANZARON LA ORBITA LUNAR EL 16 DE JULIO DE 1969.SUPONIENDO QUE CADA DIA RECORRIERON LA MISMA CANTIDAD DE KILOMETROS.¿CUANTOS KILOMETROS RECORRIERON POR DIA.
Answers
Complete question :
la distancia entre la tierra y la luna es de 384 392 km. Los astronautas de la Apolo XL salieron el 16 de julio de 1969 desde el Centro Espacial Kennedy y al alcanzaron la orbita el 19 de julio de 1969. Suponiendo que cada dia recorrieron la misma cantidad de kilometros cuantos kilometros recorrieron por dia
Responder:
128130,66 kilometros
Explicación paso a paso:
Dado que:
Distancia entre la tierra y la luna = 384,392 km
Tiempo empleado = (19 de julio - 16 de julio) mismo año = 3 días
Velocidad = distancia / tiempo
El tiempo empleado es (3 * 24) = 72 horas
Por lo tanto,
velocidad = 384,392 / 72
= 5338,7777 kilómetros por hora
Dado que se supone que la distancia recorrida diariamente es la misma m:
El número de kilómetros recorridos por día:
5338,7777 kilómetros por hora * 24
= 128130,66 kilometros
Increase £16470.45 by 3.5% by 2DP
Answers
Answer:
17,046.92 i think
Step-by-step explanation: