Answer:
y = -3/2 x -15
Step-by-step explanation:
–3x–2y=30
To get the equation is slope intercept form y=mx+b, we need to solve for y
Add 3x to each side
–3x+3x–2y=3x+30
-2y = 3x+30
Divide by -2
-2y/-2 = 3x/-2 + 30 /-2
y = -3/2 x -15
The slope is -3/2 and the y interceot us -15
Need answers for 14-17
Answer: whats the question
Step-by-step explanation:
Your brother is going to buy a car when he graduates, but he doesn't have enough money to pay for it in cash. He takes a loan out at a bank that charges 4% simple interest. If the initial cost of the car is $18,500 and he takes out a 5-year loan, what is the total amount your brother will be paying for the cost of his car?
Given: m || n , <1 is congruent to <3
Prove: p || q
Answer:
A= Angle 1 congruent to angle 2
B= Transitive Property
C= Converse Corresponding angles theorem
Step-by-step explanation:
Your model train is 18 inches long.
It is an exact model of a train that is 72 feet long.
A window on the train is how many times wider than a window on the model?
Answer:
48 times wider
Step-by-step explanation:
Convert length of train to inches:
[tex]72 * 12 = 864[/tex] inches
Divide the length of the train by the length of the model train to find the scale.
so, 864 ÷ 18 = 48
and since the model train is proportional to the train, the window on the train is 48 times wider than the window on the model.
Answer:
48
Step-by-step explanation:
the function y=3.28x converts length from x meters to y feet Im really stuck im not real sure what to do
Step-by-step explanation: So this one can be a little confusing, but I think I can help. You see if 'y'= number of feet and 'x'= number of meters then y=3.28x is a way for you to figure out how many feet are constant to every meter.
Look at it more like, Number of Feet= 3.28 times the number of meters.
If you want to figure out many feet are constant to let's say...2 meters, then you would replace the 'x' variable with 2 and multiply it by 3.28.
It would look something like this:
y=3.28(2)
y= 6.56
Thus, every 1 feet there are 6.56 meters, or 6.56 meters equals 1 foot.
Hope this helps a little, tell me if you need anymore help with this!
Suppose a railroad rail is 2 kilometers and it expands on a hot day by 19 centimeters in length. Approximately how many meters would the center of the rail rise above the ground?
Answer:
rail rise approximately 0.19 m above the ground
Step-by-step explanation:
as we know that
1m=100cm
and 1cm=[tex]\frac{1}{100}[/tex] m
similarly
19cm=[tex]\frac{19}{100}[/tex]m
19cm=0.19m
rail rise approximately 0.19 m above the ground
The calculated sagitta is approximately 0 meters, considering the very small expansion compared to the original length of the rail.
Assuming the rail forms an arc of a circle with the expansion, the rail's ends remain on the ground, and only the center rises.
Consider the original length of the rail as the chord of the circle, and the expanded length as the arc of the circle. The rise of the rail's center is the sagitta (height) of the arc. The length of the chord (C) is 2000 meters, and the expansion (e) is 0.19 meters (19 centimeters). The length of the arc (A) is C + e, which equals 2000.19 meters.
The formula for the sagitta when the arc is very close to the chord in length is given by:
Sagitta (s) ≈ (e² / (8 * C)) + (C² / (8 * A))
Plugging in the values:
s ≈ (0.19² / (8 * 2000)) + (2000² / (8 * 2000.19))
After calculation:
s ≈ 2.25 × 10⁻³ m + 250 m
s ≈ 250.00225 m
Since we are dealing with a very small expansion relative to the size of the rail, the sagitta (height increase of the center of the rail) is very close to 0 meters.
PLS HELP If g(n) varies inversely with n and g(n) = 6 when n = 2, find the value of n when g(n) = 1.5.
Answer:
g(2)=1.5. Which would be three.
Step-by-step explanation:
You would just plug in n=2 into the equation and then divide it out.
The value of n, when g(n) is 1.5, given that g(n), varies inversely with n and equals 6 when n is 2, we first find the constant of variation k = 12 and then divide k by 1.5 to get n = 8.
If g(n) varies inversely with n, the relationship between g(n) and n can be expressed as g(n) = k/n, where k is a constant. When g(n) = 6 and n = 2, we can find the constant k by multiplying 6 and 2 to get k = 12.
To find the value of n when g(n) = 1.5, we can set up the equation 1.5 = k/n. Using our previously found constant k (12), we substitute it into the equation to get 1.5 = 12/n. Solving for n, we multiply both sides of the equation by n and then divide both sides by 1.5 to get n = 12/1.5, which simplifies to n = 8.
The regular price of a newly released video game is $32. LeBron buys the video game when its on sale for 30% off the regular price. If sales tax is 10%, how much does LeBron pay for the video game.
Answer:
$24.64
Step-by-step explanation:
30% off is equal to multiplying by 0.7
(32*0.7)*1.1
Sales tax increases the price and so you multiply by 1.1 (equal to increasing 10%)
32*0.7*1.1=24.64
He will pay $24.64 for the game.
A steel rod that is 64 feet long must be cut into three pieces to fabricate the supports for a drill press. The longest piece is 3.09 times the shortest and the middle piece is 1.73 times the shortest. How long is each piece? Round nearest foot.
Answer:
let's x be the shortest piece
the middle piece is 1,73 *x
the longest piece is 3,09 x
then if we sum the 3 pieces we will get the steel rod that is 64 feet long
so x+1,73x+3,09x= 5,82x= 64 then x= 10,99 = 11
the shortest piece is 11 feet
the middle piece is 1,73*11=19,03 feet
The longest piece is: 3,09*11= 33,99= 34 feet
Which expression is equivalent to (2x^4 y)^3 PLEASE HURRY!!!
Answer:
8x¹²y³
Step-by-step explanation:
(2x⁴y)³ Cube everything inside parentheses.
= 2² × (x⁴)³ × y³
= 8x¹²y³
give an example of linear equation that is parrell to the y-axis
Answer: x = 5
You can pick any number you want, as long as it's not zero. The equation x = 5 has all points on this line that have an x coordinate of 5. The y coordinate can be anything you want
Example points on this line are: (5,1) and (5,2)
Note: this is a vertical line with the slope undefined. There is no y intercept. This is not a function because it fails the vertical line test.
A line passes through the points (-10,-5) and (20,10) what is the equation of the line A. y=5x B.Y=2x C.1/2 x Dy=1/5 x
Answer:
C. y = ½x
Step-by-step explanation:
Step 1. Find the slope of the line
The general equation for a straight line is
y = mx + b
The slope m is
m =(y₂ -y₁)/(x₂/x₁)
Your points are (-10, -5) and (20, 10).
m = [10 – (-5)]/[20 – (-10)] Remove inner parentheses
m = (10+5)/(20 + 10)
m = 15/30
m = ½
===============
Step 2. Find the equation of the line
Substitute the point (20, 10) into the general equation.
10 = ½×20 + b
10 = 10 + b
b = 0
The equation of the line is y = ½x.
The graph shows your line passing through your two points with a slope
m = ½ and a y-intercept at (0, 0).
Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35
Question
Find the greatest common factor of these three expressions. 5v2 , 14v4 , and 35
Answer:
1Step-by-step explanation:
assuming that 5v2 is 5², and 14v4 is 14^4
5² = 25
14^4 = 38416
35 = 35
The factors of 25 are: 1, 5, 25
The factors of 35 are: 1, 5, 7, 35
The factors of 38416 are: 1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 343, 392, 686, 784, 1372, 2401, 2744, 4802, 5488, 9604, 19208, 38416
--------------
the greatest common factor is 1
rhianna is planning to redecorator her bedroom with paint and new pillows.she has a buget of $200.the cans of paint she wants cost $32 each and thows pillows are $30 each.Which inquality can rhianna use to find out how many cans of paint,x,and pillow,y,she can afford?
Step-by-step explanation Eeė
A package of AA batteries cost $3.50 plus an additional 6% tax. What is the price after tax? PLEASE HELP!!!
Answer:
$3.71 is your price after the tax.
Step-by-step explanation:
First, change the percentage into a decimal:
6% = 0.06
Multiply the decimal with the cost:
3.50 x 0.06 = 0.21
Add the number gotten to the original price:
3.50 + 0.21 = 3.71
$3.71 is your price after the tax.
~
Answer:
$3.71
Step-by-step explanation:
The tax = original price * tax rate
= 3.5 * .06
=.21
Add the tax to the original price to get the total cost
total cost = 3.5+.21
=3.71
The cost of the batteries is $3.71 after tax
Jane moved from a house with 58 square feet of closet space to an apartment with 29.58 square feet of closet space. What is the percentage decrease of Jane's closet space? A. 96% B. 39% C. 49% D. 51%
Answer:
the answer is D 51 because if you do 29.58 divided by 58 you get .51 which is 51% decreased.
Step-by-step explanation:
is y = |x + 3| a linear function yes or noO
Answer:
Yes
Step-by-step explanation:
Because it passes vertical line test.
Yes, because y = x + 3 is a first degree function which is a linear function. Just ignore the absolute value.
Which statement can be concluded using the true statements? If a quadrilateral has 4 equal sides and 4 equal angles, then it is a square. If a figure is a square, then each of its angles must measure 90 degrees
Answer:
A. If a quadrilateral has 4 equal sides and 4 equal angles, then each of its angles must measure 90 degrees.
Step-by-step explanation:
Determine the slope for the following:
-6x-2y=12
Answer:
New Slope is -3
Step-by-step explanation:
First we will need to simplify the equation to make it easier. so since all numbers are divisible by 2 so instead of -6x-2y=12 the new equation will be -3x-y=6. then you are gonna solve for y and the answer is -y=3x+6. so then you will divide by -1 to make y positive. then Your Final Equation is y=-3x-6
Your new slope is -3
ABC = PQR given ABC = PQR, m<B = 3v + 4, and m<Q = 8v vind m<B ans m<Qm
Answer:
v = 4/5 or 0.8
Step-by-step explanation:
Givens
These two corresponding parts are equal
<B = 3v + 4<Q = 8vEquation
3v + 4 = 8v Subtract 3v from both sides3v - 3v + 4 = 8v - 3v Combine4 = 5v Divide by 54/5 = 5v/5 DivideAnswer
v = 4/5 or v = 0.8
Gina can buy a 5-pound bag of apples that cost $4.50, or she can buy them by the pound for $0.85 or pound. Which of these best explains the least expensive way for Gino buy 5 pounds of apples?
A. Gina should buy the bag of apples for $4.50 because the unit price per pound is less than the by-the-pound price
B. Gina should buy the bag of apples for $4.50 because the unit price per pound is greater than the by-the-pound-price
C. Gina should buy apples by the pound because the unit price per pound for the bag of apples is less than the by-the-pound-price
D. Gina should buy apples by the pound because the unit price per pound for the bag of apples is greater than the by-the-pound price
What is the solution for -10 < x - 9?
Answer:
x > - 1
Step-by-step explanation:
- 10 < x - 9
x - 9 > - 10
x > - 10 + 9
x > - 1
Aldrin and Jan are standing at the edge of a huge field. At 2:00 p.m., Aldrin begins to walk along a straight path at a speed of 3 km/h. Two hours later, Jan takes a straight path at a 608 angle to Aldrin’s path, walking at 5 km/h. At what time the two friends be 13km apart?
Answer: After 2:29 hours both Aldrin and Jan will be 13 km apart from each other.
Time at that instant will be : 4:00 pm + 2.29 hours= 6:29 pm
Step-by-step explanation:
According to the figure:
Ab= c = 13 Km
AC = b = [tex]distance= speed\times time =5\times t[/tex]=5t Km
After two hours the distance covered by the Aldrin say till point D :
[tex]distance=speed\times time=3km/hr\times 2 hrs=6 Km[/tex]
Since, we are interested in determining the time at which Aldrin and Jan both 13 Km apart. For that Aldrin Additional distance covered by the Aldrin from point D to B is :
[tex]distance=speed\times time= 3km/hr\times t=3t Km [/tex]
CB= a = CD+DB= 6+3t
We will apply Laws of cosines:
[tex]C^2=A^2+B^2-2AB\times Cos\theta[/tex]
[tex](13)^2=(6+3t)^2+(5t)^2-2(5t)(6+3t)Cos 60^o[/tex]
[tex]19t^2+6t-133=0[/tex]
On solving the the above equation by quadratic formula we get two values of 't'
1) t = 2.49 hours , 2) t = -2.80 hours
Since,time cannot be in negative so we will ignore the negative value of t
t = 2.49 = 2:29 hours ,(0.49 hour=0.49 × 60 min=29.4 min)
After 2.49 hours after the walking of Jan. Both Aldrin and Jan will be 13 km apart from each other.
Time at that instant will be : 4:00 pm + 2:29 hours= 6:29 hour
ANSWER QUESTION 2 and 3 FOR 25 POINTS AND BRAINLIEST!!
Answer:
A and C
Step-by-step explanation:
It is certainly not D. She holds no hope for improvement, not really. She is sad that there has not been anything good happening and realistic enough to know that things are going from bad to worse.
C might be possible, but it doesn't really sound like she's blaming anyone, not in that passage.
B There's too much dispair in what she is saying to believe that a miracle will happen.
A would be my choice.
Three
Pinnacle means highest,not lowest. Answer C
First fourth and tenth terms a(n) = 5 + (n + 1) 1/6
Answer:
a(4) = 5 5/6
a(10) = 6 5/6
Step-by-step explanation:
To find the 4th term, let n =4
a(n) = 5 + (n + 1) 1/6
a(4) = 5 + (4+1) 1/6
=5+5 * 1/6
= 5 + 5/6
= 5 5/6
To find the 10th term, let n =10
a(n) = 5 + (n + 1) 1/6
a(10) = 5 + (10+1) 1/6
=5+11 * 1/6
= 5 + 11/6
= 5 + 1 5/6
= 6 5/6
What is the length of angle BC?
If you mean side BC (instead of angle BC), then the answer is 22 units.
To get this answer, set the sides AB and AC equal to each other and solve for x
AB = AC
2x - 24 = x - 2
2x-x = -2+24
x = 22
Since BC = x, and x = 22, this means BC is 22 units long.
We have m∠C = m∠B, therefore it's an isosceles triangle.
Therefore we have the equation:
2x - 24 = x - 2 add 24 to both sides
2x = x + 22 subtract x from both sides
x = 22
BC = x
Answer: |BC| = 223 1/2 divided by 2 1/4
To divide mixed numbers like 3 1/2 and 2 1/4, first convert to improper fractions. In this case, 3 1/2 divided by 2 1/4 simplifies to 1 5/9.
Explanation:To solve the problem of 3 1/2 divided by 2 1/4, you need to first convert each mixed number into an improper fraction.
3 1/2 becomes 7/2 and 2 1/4 becomes 9/4, because 3*2 + 1 = 7 (for the first number) and 2*4 + 1 = 9 (for the second number), the numerators of the fractions.
Next, in our division problem, we flip the second fraction (this is the reciprocal), and multiply it with the first. It's the same as multiplying by its inverse to divide fractions.
So, 7/2 divided by 9/4 becomes 7/2*
4/9 which equals 28/18, which can be simplified to 1 10/18 or further simplified to 1 5/9 in mixed number form.
#SPJ3
Question number 1: 5/8 (16b+24) -1/2b
Question number 2: 3/4 (16/64 + 12a) -9a
Answer:
Problem 1. (19/2)b + 15
Problem 2. 3/16
Step-by-step explanation:
Question number 1
5/8 (16b+24) -1/2b =
= (5/8) * (16/1) * b + (5/8) * 24 - (1/2)b
= 10b + 15 - (1/2)b
= (20/2)b - (1/2)b + 15
= (19/2)b + 15
Question number 2
3/4 (16/64 + 12a) -9a =
= (3/4) * (16/64) + (3/4) * 12a - 9a
= (3 * 16)(4 * 64) + (3/4) * (12/1) * a - 9a
= (3 * 1)(4 * 4) + (3 * 12)/(4 * 1) * a - 9a
= 3/16 + (3 * 3)/(1 * 1) * a - 9a
= 3/16 + 9a - 9a
= 3/16
Someone quickly help!!
Let's go:
[tex]\frac{32}{6x + 6} = \frac{24}{9x - 9} \\\\ 32.(9x - 9) = 24.(6x + 6) \\\ 288x - 288 = 144x + 144 \\\ 288x - 144x = 144 + 288 \\\ 144x = 432 \\\ x = 3[/tex]
I hope I helped you.
Answer:
x = 3Step-by-step explanation:
Use Angle bisector theorem (look at the picture)
[tex]\dfrac{24}{9x-9}=\dfrac{32}{6x+6}\qquad\text{cross multiply}\\\\24(6x+6)=32(9x-9)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\(24)(6x)+(24)(6)=(32)(9x)+(32)(-9)\\\\114x+144=288x-288\qquad\text{subtract 144 from both sides}\\\\144x=288x-432\qquad\text{subtract}\ 288x\ \text{from both sides}\\\\-144x=-432\qquad\text{divide both sides by (-144)}\\\\x=3[/tex]
Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers. Draw the graphic of the following conditions: {(x, y): x = 2} {(x, y): y -3]
Answer:
2,-3
Step-by-step explanation:
1.{(x, y): x = 2} we know x = 2
2. {(x, y): y -3] we know y = -3
3. x,y = 2,-3
Answer:
3,4,1,2 is the order in which it goes in (go left to right) :)
Step-by-step explanation: