Answer:
x - 2y = 0
Step-by-step explanation:
The two lines have the same slope because they are parallel, and their equations have the same form as x-2y+3=0, with only the constant (3) being different. Solving this equation for y to find the slope, we get:
x + 3 = 2y, or y = (1/2)x + 3/2. The line passing through (0, 0) with the same slope must then be y = (1/2)x; this line represents a proportional relationship because y is a constant multiple of x with the constant of proportionality 1/2. This result may be rewritten as 2y = x or x - 2y = 0.
The sales tax rate is 10% if ruby buys a toaster priced at 34.72 what will be the total cost including tax
The number 20,2Δ8 is a 5-digit number with the tens digit covered by a triangle. Given that the number is divisible by 7, what is its tens digit? I GIVE BRAINLIEST!
Answer:
20258. The missing digit is a 5
Step-by-step explanation:
Ok, let's write the number in a more creative way. That's [tex]21 000 - 700 = 20 300[/tex], minus something else. That something else has to be a multiple of 7, be less than 100, and has to end with a 2. Now start writing down the multiplication table for 7 and find how many of them ends with 2. 42 comes to mind, and that's the only one. (you can go up to 7x14=98 before having one digit too many).
That brings your number to be written as [tex]21000-700 -42 = 20258.[/tex]
In theory there was a criteria to see if a number was divisible by 7, but I've never learned it.
I agree with the other person. The answer is 5.
Here's how we can check to see if a number is divisible by 7.
Step 1) Remove the units digit to form a truncated (aka shrunken) number.Step 2) Double the digit we removed.Step 3) Subtract that result from the truncated number.If the result of the third step is a multiple of 7, then so is the original value itself. We can repeat the steps to progressively shrink the values down so we have something more manageable.
---------------
Let's use those steps to see if 20,258 is a multiple of 7
Step 1) Remove the '8' from 20258 to to get 2025Step 2) Double the 8 to get 16Step 3) Subtract 16 from 2025 to get 2025 - 16 = 2009It's not clear if 2009 is a multiple of 7 or not; however, we can apply the same three steps to shrink the number down. This process can be repeated as many times as you like.
Step 1) Remove the 9 from 2009 to get 200Step 2) Double the 9 to get 18Step 3) Subtract to get 200-18 = 182Like before, the result 182 is fairly big and it's not clear if we have a multiple of 7. Luckily, we only need to do one more round of those steps.
Step 1) Remove the 2 from 182 to get 18Step 2) Double that value we removed to get 4Step 3) Subtract to get 18-4 = 14The result 14 is a multiple of 7, which means that 182 is also multiple of 7. By a domino-like chain reaction, the values 2009 and 20258 are also multiples of 7.
Notes:
182 = 26*72009 = 287*720258 = 2894*7---------------
We've just verified that 20258 is a multiple of 7. Let's go over an example a non-multiple of 7. I'll add 1 to the number 20258 so we are guaranteed that it cannot possibly be a multiple of 7. Doing the round of steps as shown above should get us to some smaller non-multiple of 7.
Step 1) Remove the 9 from 20259 to get 2025Step 2) Double the 9 to get 18Step 3) Subtract: 2025 - 18 = 2007Repeat the steps until we get something more manageable
Step 1) Remove the 7 from 2007 to get 200Step 2) Double the removed digit: 7*2 = 14Step 3) Subtract: 200-14 = 186Let's do one more round
Step 1) Remove the 6 from 186 to get 18Step 2) Double the digit removed: 2*6 = 12Step 3) Subtract: 18-12 = 6The value 6 is not a multiple of 7, and neither are 186 and 2007 and 20259.
If you have your calculator with you, then you should see that dividing any of those values over 7 will not lead to a whole number result.
186/7=26.57 2007/7=286.71 20259/7=2894.14This is a fairly quick and efficient way to check divisibility by 7 if you are in a hurry.
If Kevin has 3/4 of a rope in needs 4/8 of a rope how much more rope does he need.
If he needs 4/8 then he doesn't need anymore rope because 3/4 is equal to 6/8
(A) Find the dimensions of the rectangle with area 324 square inches that has minimum perimeter, and then find the minimum perimeter.
A = L*w
324 = L*w
324/w = L
P = 2*( L + w)
= 2 * ( 324/w + w)
= 648/w + 2w
= (648 + 2w^2)/w
please help me i don’t understand
Answer:
a
Step-by-step explanation:
How to find factors of a number.
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
for more visit https://brainly.com/question/25552839
What is 4+2(5)+(-3)=
Answer:
The answer is 11, I think, hope this helps!
Step-by-step explanation:
=================================================
Solve.
[tex] \tt4 + 2(5) + ( - 3) \\ = \tt4 + 10 + ( - 3) \\ = \tt14 + ( - 3) \\ = \underline{ \boxed{\tt 11}}[/tex]
Therefore, the answer is 11.
=================================================
[tex] \underline{{\sf \: \: \#CarryOnLearning! \: \:}} [/tex]
use a point on the number line to represent a number ot whose absulute vaue is?
Answer:
A
Step-by-step explanation:
Consider this product. x^2-4x-21/3x^3+6x x^2+8x/x^2+11x+24 Which values are excluded values for the product?
Using the domain, it is found that x = -8 is excluded for the product.
The domain of a function is the set that contains all possible input values.
In a fraction, the denominator cannot be 0.In this problem, there are two fractions, and the points outside the domain, that is, the roots of the denominators, are excluded.
For the first fraction, they are:
[tex]3x^2 + 6x = 0[/tex]
[tex]3x(x + 2) = 0[/tex]
[tex]3x = 0 \rightarrow x = 0[/tex]
[tex]x + 2 = 0 \rightarrow x = -2[/tex]
Hence, x = -2(not an option) is excluded.
x = 0 can be factored with the numerator of the second fraction, so not excluded.For the second fraction, the roots of the denominator are:
[tex]x^2 + 11x + 24 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = 11, c = 24[/tex], hence:
[tex]\Delta = b^2 - 4ac = 11^2 - 4(1)(24) = 121 - 96 = 25[/tex]
[tex]x_1 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{-11 - 5}{2} = -8[/tex]
[tex]x_2 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{-11 + 5}{2} = -3[/tex]
x = -3 can be factored with the numerator of the first fraction, so only x = -8 is excluded.
A similar problem is given at https://brainly.com/question/13136492
Answer:
0, -3, -8
Step-by-step explanation:
please helpp and show your work pleasee
Answer:
[tex]b=27[/tex]
Step-by-step explanation:
[tex]\frac{b}{3} -7=2\\\\\frac{b}{3}=9\\\\b=27[/tex]
Invisible Steps:
Add 7 on each side of the equation:
[tex]\frac{b}{3}-7+7=\frac{b}{3}\\2+7=9[/tex]
Multiple 3 on each side of the equation:
[tex]\frac{b}{3}[/tex] · [tex]3=b[/tex]
[tex]9[/tex] · [tex]3=27[/tex]
1.
Which of the following equations describes the graph?
A. y= -x^2 + 1
B. y= x^2 - 1
C. y= x^2 + 1
D. y= -x^2 - 1
Answer:
A. y= -x^2 + 1
Step-by-step explanation:
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
1
)
Focus:
(
0
,
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
5
4
x
y
−
2
−
3
−
1
0
0
1
1
0
2
−
3
________________________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
3
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
5
4
x
y
−
2
3
−
1
0
0
−
1
1
0
2
3
__________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Up
Vertex:
(
0
,
1
)
Focus:
(
0
,
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
3
4
x
y
−
2
5
−
1
2
0
1
1
2
2
5
_________________
Graph the parabola using the direction, vertex, focus, and axis of symmetry.
Direction: Opens Down
Vertex:
(
0
,
−
1
)
Focus:
(
0
,
−
5
4
)
Axis of Symmetry:
x
=
0
Directrix:
y
=
−
3
4
x
y
−
2
−
5
−
1
−
2
0
−
1
1
−
2
2
−
5
Which two integers is 129 between?
Answer:
128 130
Step-by-step explanation:
128 129 130
Why rectangular coordinates are better than polar.
Answer:
Rectangular coordinates, or cartesian coordinates, come in the form (x,y).. Polar coordinates, on the other hand, come in the form (r,θ). Instead of moving out from the origin using horizontal and vertical lines, we instead pick the angle θ, which is the direction, and then move out from the origin a certain distance r.
Please help. Flow chart proof. I'll give brainliest
Step-by-step explanation:
Statement | Reason
CB=AB Given
DBC=DBA Given
DB = DB Reflexive Property
/_\ DBC
=~
/_\DBA SAS
Sorry for the formatting the =~ means congruent.
The answers are ad||cd, be=de,
Answer:
Its AD||CD
Step-by-step explanation:
can you HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! i give you 50
hope it helps!!!!!!!!!!!!!!!!!!!!!!
HELP PLS ASAP PLS PLS PLS
Answer:
Step-by-step explanation:
m = 63°
n = 135°
p = 63°
r = 112.5°
s = 50°
t = 67.5°
12. The number of miles, y, traveled varies directly as time, x. If a group of tubers floating down the river traveled 9 miles
in two hours, how far would they travel in 5 hours? Write and solve a direct variation equation for this situation
y= 9/2x; x=10/9
y=2/9x; x=22.5
y=2/9x; y=10/9
Oy=9/2; y=22.5
Answer: y=2/9x; x=22.5
Step-by-step explanation:
Float speed is 9 miles/2 hours, or (9/2) miles/hour (mph).
Distance,y = (Speed)*(Time, x)
y = (Speed)x
y = (9/2)x
If x = 5 hours,
y = (9/2)*5, or 22.5
y=2/9x; x=22.5
pls help!
Manny charges $1.25 for a cup of lemonade at the lemonade stand. He sells 9 cups. How much money does Manny collect?
Answer:
$11.25
Step-by-step explanation:
1.25 × 9 = 11.25
Answer:
$11.25
Step-by-step explanation:
if u have 105 in 7 days what would you have in 1 day?
Answer:
I would have 15.
Step-by-step explanation:
In 7 days, I would have 105.
In 1day, I would have 105/7
=15
Which line is perpendicular to the line x =
į
?
O A. X = -2y
B. y = - 2x
O
C. X = -2
O
D. y = 2
Answer:
Option D
Hope this helps!
Stella is ordering a taxi from an online taxi service. The taxi charges $3 just for the pickup and then an additional $1.75 per miles driven. How much would a taxi ride cost if Stella is riding for 2 miles? How much would a taxi ride cost that is m miles long?
Answer:
$ 6.50
Step-by-step explanation:
Based on the given conditions, formulate 3+2 × 1.75
calculate the first two terms 3+3.5
calculate the first two terms 6.5
Answer: 6.5
PLS HELP WILL MARK BRAINLIEST, PLS HURRY
please help asap…………
Answer:
linear
Step-by-step explanation:
this equation will form a straight line and for each 'y' value there will only be one unique 'x' value
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
Simplify (5p+1.49)-(2p+6.49)
Thank you!
using the number 2, 4, 6 and 8 write an expression that equals 60
Answer:
(8-2)(4+6)
Step-by-step explanation:
1. (8-2)(4+6)
6x(4+6)
2. 6x10
3. =60
PERSONALLY I thought it would be 98 Bc like yk..BUT I FEEL LIKE IM WRONGsend help beggin cryin throwin up I hate geometry so much
Answer:
98
Step-by-step explanation:
It is 98! x and the 98 degree angle are corresponding angles and m is parallel to n. dw I hate geometry too.
Class 1 and class 2 have a total of 630 house points. Class 1 have double the number of house points that class 2 have. How many house points do class 2 have?
Answer:
Class 2 has 210 house points.
Step-by-step explanation:
630/3 = 210
1 = 210 x 2 = 420
2 = 210
420 + 210 + 630