TRUE or FALSE? The sum \sqrt{16}+\sqrt{9} is a rational number.
The point A (-3, 5) and the point B (0, -16) lie on the line L.
a) Find the slope
b) Find the y-intercept
c) Create the equation of the line L.
Can you help?
Step-by-step explanation:
Line is passing through the point A (-3, 5) and the point B (0, -16)
a) Slope (m) = (-16 - 5)/(0+3) = - 21/3 = - 7
b) y - intercept (b) = - 16
c) Equation of line
y = mx + b
y = - 7x + (-16)
y = - 7x - 16
A car rental company charges $34 per day for a rented car and $0.50 for every mile driven. A second car rental company charges $20 per day and $0.75 for every mile driven. What is the number of miles at which both companies charge the same amount for a one-day rental?
Answer:
$1.50 2/3
Step-by-step explanation:
I hope this helps :)
Please help me please help me please please someone can please help me this is way too hard please please please please please please please someone please help me
Answer:1 0.05806644 2 64.3818067 m2 3 10.8696557 m2 4 80.2682266 m2 0.13935456 m2 and 15.7935168 m2
Step-by-step explanation:
does anybody know the answer?
Answer:
y+25=120
y = 120-25
so y= 95
Answer:
y=95 is the required answer of your question
hope it is helpful to you
ANSWER THIS WITHOUT A LINK
SOOOOOOOONNNN
Answer: n=8
Step-by-step explanation: add 2 each time for y
Answer:
Answer = 22
Step-by-step explanation:
Linear Function is 2x-6, therefore f(14)=2*14-6=22
So 2*8-6=10
2*9-6=12
2*11-6=16
PLEASE HELP ME! QUICK POINTS FOR YOU!
All information needed is in the image below.
Please answer all parts!
Answer:
x = 14
∠ABD = 66
∠DBC = 24
Step-by-step explanation:
The sum of the two angles is 90 degrees, so:
3 (x + 8) + 2x - 4 = 90 (distribute 3)
3x + 24 + 2x - 4 = 90 (simplify)
5x + 20 = 90 (subtract 20 from both sides)
5x = 70 (divide both sides by 5)
x = 14
∠ABD = 3 (x + 8) (plug in 14)
∠ABD = 3 (14 + 8) simplify
∠ABD = 3 (22)
∠ABD = 66
∠DBC = 2x - 4 (plug in 14)
∠DBC = 2(14) - 4 (simplify)
∠DBC = 28 - 4
∠DBC = 24
To check, 66+24=90.
Answer:
The answer I got was
3(-26+8) = -54
2(-26)-4 = -56
Step-by-step explanation:
3(x+8)=2x−4
(3)(x)+(3)(8)=2x+−4(Distribute)
3x+24=2x+−4
3x+24=2x−4
Then subtract 2x from each side
Once then you have X substitute that number with X and you should get your answer.
So do 3(-26+8) and then 2(-26)-4 which then
3(-26+8)=
2(-26)-4 =
Find x.
I need help please
Answer:
[tex] x = 4 \sqrt{3} [/tex]
Step-by-step explanation:
By geometric mean theorem and Pythagoras theorem:
[tex] {x}^{2} = { (\sqrt{8 \times 4} )}^{2} + {4}^{2} \\ \\ {x}^{2} = { (\sqrt{32} )}^{2} + {4}^{2} \\ \\ {x}^{2} = 32 + 16 \\ \\ {x}^{2} = 48 \\ \\ x = \sqrt{48} \\ \\ x = 4 \sqrt{3} [/tex]
Someone plzzz tell me this answer i am really stuck on this
Answer:
A
Step-by-step explanation:
Variables mean multiplying and that stonleigh when that multiplies and adds And it will never be even number because it is at 99 sense meaning $50 is greater than Whatever you multiply $3.99 by
Geometry help please. Thank you!
One third of number is 8 less than the three times of the number, working pls
Answer:
the required number is 12
Answer:
3Step-by-step explanation:
One third of number is 8 less than the three times of the number
The number is x, then:
1/3x = 3x - 83x - 1/3x = 88/3x = 8x = 3Can someone help me with this question.
Answer: the bottom is A then C
Step-by-step explanation:
The function f(x) = x2+ 4 is defined over the interval [-2, 2]. If the interval is divided into n equal parts, what is the height of the right endpoint of the k^th rectangle?
Answer:
Following are the responses to the give question:
Step-by-step explanation:
The [tex]f(x) = x^2 + 4[/tex] model is developed in the interval [tex](-2, 2)[/tex] total equal in a between such a range[tex]= 5[/tex].
Its right endpoint of every rectangle is separated onto n equal parts by the height [tex]= \frac{5}{n}.[/tex]
Height of endpoint [tex]= \frac{5}{n}[/tex] of the k rectangles therefore, the height of the kth rectangle = First rectangle height + K rectangle height
[tex]= -2 +k \times \frac{5}{n}\\\\[/tex]
Please answer correctly! I will mark you as Brainliest!
Answer:
600
Step-by-step explanation:
V = l * w * h
V = 10 * 3 * 20
V = 600
Answer:
V = 600 cm³
Step-by-step explanation:
The volume (V) of a cuboid is calculated as
V = lbh ( l is length, b is breadth, h is height )
Here l = 10, b = 3 , h = 20 , then
V = 10 × 3 × 20 = 600 cm³
Carole worked her 40 regular hours last week plus 6 overtime hours at the time-and-a-half rate. Carole's regular hourly rate is $11.50. How much did Carole get paid last week?
Answer:
$563.50
Step-by-step explanation:
The computation of the amount that should be paid to Carole last week is shown below
Since she worked 40 regular hours and 6 overtime hours
For regular hours, the wage rate is $11.50
And, for overtime it would be
= $11.50 + $11.50 ÷ 2
= $11.50 + $5.75
= $17.25
So, the amount that should be paid is
= 40 × $11.50 + 6 × $17.25
= $460 + $103.50
= $563.50
Translate this into an equation
Seven times the sum of a number and 9 equals 8.
Answer:
7(9+n)=8
Step-by-step explanation:
I hope this is right :)))
solve by system of equations by substitution and show work plz and thank you y=2x+3 y=-x-9
Answer:
X=-4, y=-5
Step-by-step explanation:
Y=2X+3
y=-x-9
substitute by inserting y value of 2nd equation (-x-9) into y value of 1st equation:
-x-9=2x+3
-x-9+9=2x+3+9
-x=2x+12
-3x=12
x=-4
solve for y by inserting x value (2) into either equation
y=2x+3
y=2(-4)+3
y=-8+3
y=-5
check answer by inserting x and y into either equation to make sure they equal:
y=2x+3
-5=2(-4)+3
-5=-8+3
-5=-5
or
y=-x-9
-5=-(-4)-9
-5=-5
Students and adults purchased tickets for a recent school play. All tickets were sold at the ticket booth (discounts of any type) were not allowed.
Student tickets cost $8 each, and adult tickets cost $10 each. A total of $1,760 was collected. 200 tickets were sold.
a. Write a system of equations that can model the number of student and adult tickets sold at the ticket booth for the play.
b. Solve the system you create to find the exact number of student tickets sold and adult tickets sold.
c. Assuming that the number of students and adults attending would not change, how much more money could have been collected at the play if the student price was kept at $8 per ticket and adults were charged $15 per ticket instead of $10?
Answer:
a. (A + S = 200), (8S + 10A = 1760)
b. The school play sold 80 adult tickets, and 120 student tickets.
c. 400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Step-by-step explanation:
a. To begin with, we can refer to S as student tickets, and A as adult tickets. We know that 200 tickets were sold, so we can say that (A + S = 200). We can also say that (8S + 10A = 1760).
b. We can twist the first system of equations and put one variable on the other side. It'll be (A = 200 - S). From there, we will substitute A in the second system of equations. The equation will be
(8S + 10(200 - S) = 1760)
Then you solve for S
(8S + 2000 - 10S = 1760)
-2S = -240
S = 120
Substitute for S in the first system of equations
A = 200 - 120
A = 80
or the second
8(120) + 10A = 1760
960 + 10A = 1760
10A = 800
A = 80
This means that the school play sold 80 adult tickets, and 120 student tickets.
c. (8S + 15A = X)
8(120) + 15(80) = X
X = 2160
2160 - 1760 = 400
400$ more would have been collected if the school charged 15$ per ticket instead of 10$
Help fast please due in 10 mins
Answer: 465
Step-by-step explanation:
a car travelling a constant speed of 60km in 18 minutes .how far will the car travel in 1 hour 12 minutes?
Answer:
240 km.
Step-by-step explanation:
The car travels 200km per hour. so multiply it by 1.2 and you get 240km.
Max is going to go to a four-year college where the annual tuition is $14,835. He has money in savings and he earned a work-study as shown below. Max is going to pay the rest with money from a student loan. How much does he have to borrow?
I need help with this math problem! Please try :) NO LINKS! If you put a link, you are reported
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Explanation:
mpg = miles per gallon
To calculate the mpg, you divide the number of miles traveled over the amount of gallons used.
In Caroline's case, she traveled 410.7 miles and used up 22.2 gallons. Her car's mpg rating is 410.7/22.2 = 18.5 mpg which means that one gallon of gas will allow her to drive 18.5 miles.
Can someone plz help me
Answer:
A = 65, B = 75
Step-by-step explanation:
x + x + 10 + 40 = 180
2x + 50 = 180
2x= 130
x = 65
Answer:
∠A = 65°
∠B = 75°
Step-by-step explanation:
The sum of all the angles in a triangle is 180°, so we need to add all of the angles and make them equal to 180, then solve for "x".
x + x + 10 + 40 = 180
2x + 50 = 180
2x = 130
x = 65
Now, we replace "x" with 65 to get ∠A and ∠B.
∠A = x = 65°
∠B = x + 10 = 65 + 10 = 75°
which of the following is the solution to the equation x^2-10x+16=0?
1.{2,8}
2.{-4,4}
3.{-16,10}
4. {-8,-2}
Answer:
1.{2,8}
Step-by-step explanation:
that's my answer
Answer :
1. { 2, 8 }
x² - 10x + 16 = 0
x² - 2x - 8x + 16 = 0
x ( x - 2 ) - 8 ( x - 2 ) = 0
( x - 2 ) ( x - 8 ) = 0
x - 2 = 0
x = 2
x - 8 = 0
x = 8
Therefore,
the solution to the equation x² - 10x + 16 = 0 is { 2, 8 }.
Based on this picture and your knowledge of the Pythagorean Theorm, what is the ara of the empty square?
Answer:
100 units^2
Step-by-step explanation:
a^2+b^2=c^2
8^2+6^2=c^2
64+36=c^2
100=c^2 (area of square)
10=c (length of hypotenuse)
Therefore, the area of the square is 100 units^2
43 grams of copper and 7grams other metals in a birdhouse, 83 grams of copper and 17 grams of other metals. Which one has more copper?
Answer: cage I
Step-by-step explanation:
Given
43 gm of copper and 7 gram of other metal
Another cage has 83 gram of copper and 17 gm of other metals
Here, the percentage of copper is
For the first case
[tex]\Rightarrow \dfrac{43}{43+7}\times 100=86\%[/tex]
For the second case
[tex]\Rightarrow \dfrac{83}{83+17}\times 100=83\%[/tex]
So, the cage-I has more percentage of copper
write Two Most Active non Metals And Two Most Active Metals Among The Right Wing Elements In The Periodic Table?
Answer: non metals F and H, fluorine has high electronegativity and tend to gain one electron. Hydrogen form she compounds with non-metals and metals.
Metals Cs and K, lose easily one outer electron. Electron is far away from nucleus and atom donates it easily.
The periodic table is composed of metals and nonmetals.
The right wing of the period table contains mostly of nonmetals. However, there are a few metals in the right wing of the periodic table. The periodic table is largely made up of metals and nonmetals.
The two most active metals in the right wing of the periodic table are bismuth and lead while the two most active nonmetals in the right wing of the periodic table are fluorine and chlorine.
Learn more: https://brainly.com/question/25114219?
The equations of three lines are given below.
Line 1: 10x+6y=6
Line 2: 5y=3x + 6
Line 3: y= 3/5 x -4
Please help
Answer:
They are parallel because they hold a same gradient which is 3/5
Sara brought a total of 8 nails at ace hardware. She purchased both 6 penny nails and 10 penny nails. She brought 2 more 6 penny nails then she did 10 penny nails. She had a total of 8 nails. How many 6 penny and 10 penny nails did sara purchase?
Answer:
Sara bought 5 6 penny nails and 3 10 penny nails
Step-by-step explanation:
Which of the following is the correct factorization of the polynomial below?
Answer:
C
Step-by-step explanation:
p³ - 216q³ ← is a difference of cubes and factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
p³ - 216q³
= p³ - (6q)³
= (p - 6q)(p² + 6pq + 36q²) → C
Answer:
C. (p - 6q)(p² + 6pq + 36q²)
Step-by-step explanation:
Equation at the end of step 1
[tex](p^{3} ) - (2^{3} 3^{3} q^{3} )[/tex]
Trying to factor as a Difference of Cubes:
Factoring: p^3 - 216q^3
Theory: A difference of two perfect cubes, a^3 - b^3 can be factored into
(a-b) • (a^2 +ab +b^2)
Proof: [tex](a-b)(a^{2} +ab+b^{2} ) =[/tex]
[tex]a^{3} + a^{2} b+ab^{2} -ba^{2} -b^{2} a-b^{3} =[/tex]
[tex]a^{3} +(a^{2} b-ba^{2} )+(ab^{2} -b^{2} a)-b^{3} =[/tex]
[tex]a^{3} +0+0-b^{3} =[/tex]
[tex]a^{3} -b^{3}[/tex]
Check: 216 is the cube of 6
Check: p^3 is the cube of p^1
Check: q^3 is the cube of q^1
Factorization is:
[tex](p-6q)(p^{2} + 6pq+36q^{2} )[/tex]
Trying to factor a multi variable polynomial :
Factoring: p^2 + 6pq + 36q^2
Try to factor this multi-variable trinomial using trial and error
Factorization fails
Final Result:
(p - 6q)(p² + 6pq + 36q²)