Answer:
100 miles
Step-by-step explanation:
Given :
To work :
speed = 50mph
Let time taken = x
From work :
speed = 40mph
30 minutes = 30/60 = 0.5
Time taken = x + 0.5
Distance from home to work :
Distance = speed * time
To work distance = from work distance
This can be algebraically expressed as :
50 * x = 40(x + 0.5)
50x = 40x + 20
50x - 40x = 20
10x = 20
x = 20/10
x = 2
Hence,
Distance = 50 * 2 = 100
The the distance from home to work = 100 miles
The distance from Michael home to work is 100 miles
SpeedSpeed is the ratio of the total distance travelled to the total time taken. It is given by:
Speed = distance / time
Let d represent the distance from Michael home to work. Hence:
50 = d/tt = d / 50He took 30 minutes (0.5 hours) longer when driving at 40 mph, hence:
40 = d/(t + 0.5)t = (d - 20)/40d/50 = (d - 20) / 40
40d = 50d - 1000
10d = 1000
d = 100 miles
The distance from Michael home to work is 100 miles
Find out more on speed at: https://brainly.com/question/4931057
HW HELP ASAP GRAPHS PLZ
Answer:
Step-by-step explanation:
Slope intercept form of a line is
y=mx+b, where m=slope and b=y intercept
m=(y2-y1)/(x2-x1) I chose points (0,3) and (4,4) from graph so
m=(4-3)/(4-0)=1/4 so now the line is
y=x/4+b, using point (4,4) we can solve for b
4=4/4+b
4=1+b
b=3 so the line is
y=x/4+3 or more neatly
y=(x+12)/4
Solve the system by the substitution method. x + 3y = 1 y = - 2x - 17 Select the correct choice below and fill in any answer boxe A. The solution is (-10,3). (Type an ordered pair.) OB. There are infinitely many solutions O c. There is no solution.
Answer:
C
Step-by-step explanation:
During a session, a senate had a total of 104 Democrats and Republicans. There were 4 fewer Democrats than Republicans. How many members of each party were
there?
Answer:
54 republicans
50 democrats
Step-by-step explanation:
x=republicans
y=democrats
x+y=104
x=y+4
substitute for y
y+4+y=104
simplify
2y=100
y=50
x=54
Marco has a bag of red, blue, and green tiles. Which set of events would be considered independent?
A) A tile is drawn and replaced, and then a second tile is drawn.
B) A tile is drawn and removed, and then a second tile is drawn.
C) A red or blue or green tile is drawn.
D) Two tiles are drawn at the same time.
Answer:
45
Step-by-step explanation:
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
Explain answer !
( Will give brainlst)
Natalie's meal at Heartland Noodles cost $16.14$ 16.14, not including tip. If Natalie wants to leave a 11%11% tip, how much should she pay? Round to the nearest cent.
Answer:
Step-by-step explanation:
huh
what is this
does country matter with like the currency
2(× + 8)= × + 20
Which value of x makes the following equation true?
A. -4
B. 12
C. 4
D. 20
Answer:
C. 4
Step-by-step explanation:
1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
1) 2x-4y=6
3x+6y=9
2) 3x+y=12
-3x+6y=6
3) -2x+4y=4
-3x+6y=6
4) 3x+6y=9
-2x-4y=4
Answer:
system 4.
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
which is impossible .It has no solutions.
Answer:4) 3x+6y=9-2x-4y=4
Step-by-step explanation:
I got the answer right
PLEASEEEEEEE HELPPPPPPPPP, I WILL GIVE BRAINLIEST :))
The table below represents the displacement of a horse from its barn as a function of time:
Time Displacement
0 8
1 58
2 108
3 158
4 208
What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn?
What is 2/8 as a decimal and percent
Answer:
0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.
Step-by-step explanation:
The result is: 0.25 and 25% is 2/8 as a decimal and percent.
Here, we have,
given that,
the fraction is: 2/8
now, we have to write as a decimal and percent.
so, we get,
2/8
[ dividing both numerator and denominator by 2 ]
= 1/4
= 0.25
so, we get, 0.25 is a decimal.
now, we have,
0.25 = 25/100 = 25%
so, we have, 25/100 or 25% is the percentage for 2/8.
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Find the area of the trapezoid.
4 cm
12 cm
3
cm
Answer: 30
Step-by-step explanation:
A=a+b
2h=12+3
2·4=30
Answer: 24
Step-by-step explanation:
An economics professor gave her class two tests. 25% of the class passed both tests, and 48% of the class passed the first test. What percent of those who passed the first test also passed the second test? (Round to four decimal places)
9514 1404 393
Answer:
52.0833%
Step-by-step explanation:
The conditional probability formula applies.
P(2|1) = P(2&1)/P(1)
P(2|1) = 0.25/0.48 ≈ 0.520833
About 52.0833% of those who passed the first test also passed the second.
_____
Comment on wording
As a fraction rounded to 4 decimal places, the value would be 0.5208 or 52.08%. This seems to ask for the percentage to be rounded to 4 decimal places, so it is 52.0833%.
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
mark me brainliest
Two candles were lit and are burning. Candle A has
an initial height of 10 inches and burning down at a
rate of 1.5 inches per hour. Candle B is burning down
at a rate of 0.5 inches per hour and has an initial
height of 6 inches. Let t represent time in hours and
h represent the total height of the candle.
Answer:
A - 6 hours and 40 minutes
B - 12 hours
Step-by-step explanation:
Candle A - After 6 hours: the candle will be 1 inch tall, because 6 times 1.5 = 9. You need an extra 40 minutes for the candle to burn completely, because 10/1.5 = 6 and 2/3
Candle B - After 12 hours, the candle will be completely burned, because 6/.5 = 12.
Equation - Initial height/inches burned per hour = time it takes for cnadle to burn down completely
How to record 2 1/2 inches on a ruler
Answer:
Read explanation
Step-by-step explanation:
If you get a normal ruler it will be one foot total. You add the bigger measurements twice because they're an inch. Then you add half of those measures. It will be numbered 1, 2, 3... so on . In other words, the longer lines are inches and the shorter ones are centimeters.
Answer:
So here's a step by step
1: Pick up your ruler.
2: Make sure the ruler is not broken or cracked.
3: Find the thing you want to measure.
4: Put the ruler against the object.
5: Make sure the 0 on the ruler is right on the side of what your measuring.
6: When all that is done find the 2 on the ruler that is 2 inches
7: Then find the 1/2 mark next to the 2 that is 2 1/2 inches.
Dont know why you needed this but here lol.
Step-by-step explanation:
May I have brainiest please I'm leveling up!
</3 PureBeauty
What single percentage change is equivalent to a 11% increase followed by a 15% increase?
Answer:
It's a total increase by 27,65%
Step-by-step explanation:
1,11 × 1,15 = 1,2765
1,2765 = +27,65%
if 13 sin ¶=5. [here,¶ means theta]
then the
value of
tan¶=
Step-by-step explanation:
Given
13 sin θ = 5
sin θ = 5/13 = p/h
p = 5 , h = 13 and b = ?
By using Pythagoras theorem
b = √ h² - p²
= √ 13² - 5²
= √144
b = 12
Now
tan θ
= p / b
= 5 / 12
Hope it will help :)
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
what is the volume of a sphere with a radius of 16 cm use 3.14
Answer:
volume is 17157.28 :)
Step-by-step explanation:
please help please really need help please
Answer:
x = 1
y = -2
Step-by-step explanation:
5x - 2y = 9 -----------(I)
2x + 7y = -12 --------------(II)
Multiply (I) by 7 35x - 14y = 63
Multiply (II) by 2 4x + 14y = - 24 {Now add and thus y will be eliminated}
39x = 39
x = 39/39
x = 1
Plugin x = 1 in equation(I)
5*1 - 2y = 9
5 -2y = 9
-2y = 9 -5
-2y = 4
y = 4/-2
y = -2
is this the right answer?
A ratio is... A) the difference between two numbers B) a comparison of two numbers by division C) a comparison of two numbers by multiplication D) the sum of two numbers Help please
Which conic section is represented by the following equation? 9x^2 – 5x – 3y^2 – 2y + 4 = 0
Answer:
D. Hyperbola
Step-by-step explanation:
I put B but it was wrong
D is the right answer
The given equation is represent a ''Hyperbola''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 9x² - 5x - 3y² - 2y + 4 = 0
Now, We know that;
The standard form of the equation is,
⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0
For Hyperbola, The condition is,
⇒ h² > ab
For Ellipse , The condition is,
⇒ h² < ab
Here, We have;
⇒ h = 0
⇒ a = 9
⇒ b = - 3
⇒ ab = 9 x - 3 = - 27
⇒ h = 0
Hence, We get;
⇒ 0 > - 27
⇒ h² > ab
Thus, This equation is represent a ''Hyperbola''.
Learn more about the mathematical expression visit:
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Write an equation in standard form that has a slope of - and a y-intercept of -2.
Y +
Review progress
Question 2
of 12
Answer:
y= 3x-2
Step-by-step explanation:
standard form
y= mx + c
c represents y intercept
m represents slope or gradient
y= 3x-2
The slope is 3 and the y intercept in -2
can somebody solve this x/15=8
Answer: x = 120
Step-by-step explanation:
You are given two complementary angles. One has a measure of 4x and the other has a measure of 7x. What is x?
Answer:
Step-by-step explanation:
Because there are two angles and they both are Complementary(90 degrees)
We can do 4x + 7x = 90
11x = 90
x= 8.18 repeating
the graph of a system of linear equation is shown below
Answer:
B
Step-by-step explanation:
Can y'all help my little brother with his work I am too lazy to answer the questions for him HE IN THE 3RD GRADE
Answer:
1. are
2. like
3. love
4. jump
5. run
6. help
7. wears
8. spin
9. play
10. are
Step-by-step explanation:
Imao
Step-by-step explanation:
1) are
2)like
3)love
4)jump
5)run
6)help
7)wears
8)spin
9)play
10)are
Hope you guys have a nice day!♡
