Let [tex]p[/tex] and [tex]q[/tex] be two numbers, such that
[tex]10000 < 210p < 11000, \quad 10000 < 210q < 11000[/tex]
If [tex]p[/tex] and [tex]q[/tex] have no common factors, the greatest common factor between [tex]210p[/tex] and [tex]210 q[/tex] is obviously 210.
If we divide the inequalities above by 210, we see that
[tex]\dfrac{10000}{210} < p < \dfrac{11000}{210}, \quad \dfrac{10000}{210}< q< \dfrac{11000}{210}[/tex]
And rounding to the nearest integer, we deduce that [tex]p[/tex] and [tex]q[/tex] must be between 48 and 52.
We may pick [tex]p=49[/tex] and [tex]q=50[/tex], because they have no common factors. So, our numbers would be
[tex]210\cdot 49=10290,\quad 210\cdot 50=10500[/tex]
ILL GIVE U BRAINLIEST PLS ANSWER
Answer:
y = - 2x
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 3 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
Given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2
The perpendicular line passes through the origin ⇒ c = 0
The equation of line L₂ is
y = - 2x + 0 , that is
y = - 2x
A contractor can spend at most $250 a day on operating costs and payroll. It costs $45 each day to operate the forklift and $60 a day for each crew member. Write an inequality to represent the contractor's budget for the day.
Answer:
Step-by-step explanation:
The answer is B. His budget is $250 so it has to be less than or equal to. $60 a crew member (x = the crew members) and $45 to use the forklift, so $60x + $45 is less than or equal to $250
Answer:
B is the correct answer.
Step-by-step explanation:
According to the problem, the contractor can spend AT MOST $250 a day, meaning $250 is the limit. Therefore, that gives you less than or equal too, or ≤. Next, it costs $45 a day, including $60, which you would add to get the final amount, or +.
Therefore, 60x + 45 ≤ 250
I NEED HELPPP PLEASE!!
A landscaper has two fields to seed. The first field requires 122
tons of seed and the second one will need
104
tons. How much
seed will the landscaper need altogether?
Answer:
226 tons of seed......
Can some one please help cause I don't understand it
true or false: The Coordinates (7,10) and (-7,10) belong to the fourth and second quadrants respectively
Answer:
i think that is false
Step-by-step explanation:
Answer both there’s a part A and B
Answer:
6
Step-by-step explanation:
What is the slope of line y = 3
Answer:
slope = 0
Step-by-step explanation:
Answer:
Slope: 0
Step-by-step explanation:
Slope: 0
y-intercept:
( 0 , 3 )
PLEASE HELP MEE I REALLY NEED HELP NOT TRYING TO BE ANNOYING BUT I NEED HELPP!!! Find the vertex of the graph of the quadratic function and determine whether it's an absolute maximum or an absolute minimum: y = x squared + 18x + 83.
options
A)
Vertex: (9,– 2); minimum
B)
Vertex: (9,–2); maximum
C)
Vertex: (–9,2); minimum
D)
Vertex: (–9,2); maximum
Answer:
try math wa y
Step-by-step explanation:
it will give u the answer to most questions the answer is c
What is the value of 25 when z = 2?
Answer:
The question makes no sense in my opinion
Determine square of -p+6
Answer:
-12p+p^2+36
Step by step explanation:
(-p+6)^2 is the square of -p+6
we use the formula
(a+b)^2=2ab+a^2+b^2
(-p+6)^2=-12p+p^2+36
the minus of p disappears
I think you meant to say the SQUARE ROOT.
sqrt{-p + 6}
If you meant to SQUARE THE BIMOMIAL, then the set up is:
(-p + 6)^2
(-p + 6)(-p + 6)
p^2 -12p + 36
Teri begins walking east at 2 miles per hour at 1:00 pm. If cindy leaves from the same point 30 minutes later walking east at 3 miles per hour, when will she catch teri
Answer:
One hour after starting
Step-by-step explanation:
Let Teri walk at a rate of 2 miles per hour in time , t + 0.5, since it is 30 minutes ahead and 30 minutes = 0.5 hours, the distance he moves is d = 2(t + 0.5). Also, since Cindy moves at a rate of 3 miles per hour, and starts at time t, the distance d' she moves is d' = 3t.
Now, when they catch each other, the distance moved is the same.
So, d = d'
2(t + 0.5) = 3t
expanding the brackets, we have
2t + 2 × 0.5 = 3t
2t + 1 = 3t
collecting like terms, we have
3t - 2t = 1
simplifying, we have
t = 1
So, Cindy will catch Teri one hour after starting.
Type the correct answer in each box. If necessary, use / for the fraction bar(s).
Given: A B || CD
If the coordinates of point A are (8. 0) and the coordinates of point Bare (3. 7), the yintercept of AB is____. If the coordinates of point Dare (5, 5), the equation of line CD is y= __ x+ __?
Answer:
8,3 y=3x+4
Step-by-step explanation:
The y intercept of line AB is 56/5 and the equation of the line CD is y = -7/5 x + 12.
What is Slope?Slope of a line is the ratio of the change in y coordinates to the change in the x coordinates of two points given.
Given A(8, 0) and B(3, 7).
Equation of line in slope intercept form is y = mx + c, where m is the slope and c is the y intercept.
Slope of AB = (7 - 0) / (3 - 8) = -7/5
Substituting in the equation,
y = -7/5 x + c
Substituting a point (8, 0) on the equation,
0 = (-7/5 × 8) + c
c = 56 / 5
Given AB parallel to CD.
Slope of parallel lines are equal.
Slope of CD is -7/5.
Equation of the line CD is y = -7/5 x + c.
Substituting (5, 5),
5 = (-7/5 × 5) + c
c = 12
Equation of CD is y = -7/5 x + 12
Hence the equation of line CD is y = -7/5 x + 12.
Learn more about Slope here :
https://brainly.com/question/14511992
#SPJ7
x + 7= -209
please answer :)
Answer:
x = - 216
Step-by-step explanation:
x + 7 = -209
x = -209-7
x = -216
hope you got it.
Answer:
-216
Step-by-step explanation:
ur welcome
Will give the brainliest to the person who answers the question first and correctly!!
For the data set 4, 5, 10, 11, 15, the mean, x, is 9. What is the standard deviation?
Round to the nearest tenth.
A. 4.1
B. 20.5
C. 16.4
D. 4.5
Answer:
D. 4.5
Step-by-step explanation:
Hannah completed 1/2 an hour she had to complete 4 math problems she spent and equal amount on each problem how much of and hour did Hannah spend on each problem
Answer: 1/8 hours or 7.5 minutes
Step-by-step explanation:
Since Hannah spent 1/2 an hour to complete 4 math problems. We are further told that she spent an equal amount of time on each problem.
The amount of time spent on each problem will be:
= 1/2 ÷ 4
= 1/2 × 1/4
= 1/8 hours
Since 60 minutes = 1 hour
1/8 hours = 1/8 × 60 = 7.5 minutes each.
PLEASE HELP! 13 POINTS
jacks mom purchased a savings bond for jack. the value of the savings bond increases by 5% each year. one year after it was purchased, the value of the savings bond was $210. find the value of the bond when jacks mom purchased it.
5. – X – 3 = 2x – 6
Help
Hello!
[tex]\large\boxed{x = 1}[/tex]
-x - 3 = 2x - 6
Begin by adding x to both sides:
-x + x - 3 = 2x + x - 6
-3 = 3x - 6
Add 6 to both sides:
-3 + 6 = 3x - 6 + 6
3 = 3x
Divide both sides by 3:
3/3 = 3x/3
x = 1.
For Spring Break, Jenny and her friends are planning a road trip from Houston, Texas, to Los Angeles, California. With almost all of the trip on Interstate 10, the total distance will be 1,740 miles one-way. If they average 70 miles per hour on the trip, to the nearest half hour, how long will it take Jenny and her friends to get there?
Answer: 24.9 hours
Step-by-step explanation:
They are travelling a total distance of 1,740 miles at a speed of 70 miles per hour. Assuming they do not rest, they will take:
Time = Distance/ Speed
= 1,740/70
= 24.9 hours
a discount of 15% is allowed on an article. If a customer received 600.00 discount. find the actual paid on the article
Answer:
Step-by-step explanation:
if 600 represents ........................15%
x.................................................100%
(600*100)/15=4000
the customer paid
4000-600=3400
4t - 12 + 3 - 5t
Please help
Answer:
-t-9
Step-by-step explanation:
=-5t+4t-12+3
=-t-9
Mountain climber Joe climbed to a mountain peak that was1200 feet above its base and 1500 feet east of its base. Mountain climber Bob climbed to a mountain peak that was 900 feet above its base and 1000 feet east of its base.
Who climbed a steeper mountain? Explain.
I wanna say it's Joe but I also feel like I'm wrong, and I have no idea how to explain my answer lol.
9514 1404 393
Answer:
Bob
Step-by-step explanation:
The "steepness," or slope, of the mountain is the ratio of height to horizontal distance to the base:
Joe's mountain slope = 1200/1500 = 0.8
Bob's mountain slope = 900/1000 = 0.9
Bob's mountain has a greater slope than Joe's. Bob climbed the steeper mountain.
Can someone help me answer these 3 questions please
Answer:
1,NO
2,Just divide the square rooted number with the numbers that square it.
3,Negative
Answer:
1,no
2,by the same word multiplying and the get square root of a number
3,negative
Under a given correspondence two triangles are congruent if the three sides of the one are equal to the three corresponding sides of the other
The above is known as
(a)SSS congruence of two triangles
(b)SAS congruence of two triangles
(c)ASA congruence of two triangles (d)RHS congruence of two right-angled triangles
Answer:
(a)SSS congruence of two triangles
Step-by-step explanation:
Congruence is a relationship that expresses the similarity between two triangles. The relationship between two triangles with their three sides being congruent is termed as the side-side-side (SSS) congruence property of the triangles. This implies that the two triangles are similar with respect to their three sides.
In corollary, since the three sides of the two triangles are congruent, then the three angles respectively would be congruent.
Marco needs to buy some dog food at the nearest store six Pazzo dog food cost $25.50 how much would Michael spend on five bags of dog food
Step-by-step explanation:
Since 6 Pazzo dog food cost $25.50,
5 Pazzo dog food would cost $25.50 * 5/6 = $21.25.
Hence Michael would spend $21.25.
Answer:
$21.25
Step-by-step explanation: $4.25 for each bag so $4.25 x 5= $21.25
Sophia had 64¢ until she spent 1 quarter. How much money does Sophia have now?
Answer:
Sophia now has 39 cents.
Step-by-step explanation:
One quarter = 25 cents
Since Sophia had 64 cents until she spent 25 cents (1 quarter).
So we subtract 25 cents from 64 cents.
[tex] \: \: \: 64 \: cents \\ \frac{ - 25 \: cents}{ \: \: \: 39 \: cents} [/tex]
Therefore, Sophia now has 39 cents.
The container that holds the water for the football team is 1/2 full. After pouring out 3 gallons of water, it is 1/3 full. How many gallons can the container hold?
Answer:
18 gallons
Step-by-step explanation:
1/6 of container is 3 gallons
so 6/6 is 18 gallons
Hope this helps. Pls give brainliest.
Which statement is true? CLEAR CHECK 0.25 = 14 because 25100 = 14 0.20 = 2010 because 0.20 means 20 tenths 0.23 > 12 because 0.23 = 23 0.4 = 14 because they are on the same place on a number lin
Answer:
because 25/100 = 1/4
0.20 = 20/100
Step-by-step explanation:
because 25/100 = 1/4
0.20 = 20/100
because 0.20 means 20 tenths 0.23 > 1/2
because 0.23 = 23
0.4 = 1/4
because they are on the same place on a number lin
What percentage of all students prefer hot dogs?
2.5%
27.5%
30%
45.5%
55%
pls give an explanation u don't have to... I'll give brainly if right!
Answer:
72.9
Step-by-step explanation:
Multiply your first 2 terms
4.5* (-9) = -40.5
multiply this by -1.8
-40.5*-1.8 = 72.9
Answer:
−72.9 / option B
Step-by-step explanation:
(4.5)(-9)(1.8)
Step 1: (4.5) x (-9) = (-40.5)
Step 2: (-40.5) x (1.8) = (-72.9)
Help me solve this problem please