Answer:
Faster runner speed: 11 mph
Slower runner speed: 9 mph
Distance from starting point: 9.9 miles
Step-by-step explanation:
Let the slower runner speed be: x
Faster runner speed: x+2
1 hour 6 minutes = 1.1 hours
Slower: 1.1(x) = 1.1x miles
Faster: 1.1(x+2) = 1.1x+2.2 miles
This means that the faster runner had gone 2.2 miles more than the slower runner.
1.1x + 2.2 > 11 miles (This is true as we know the faster runner is coming back from the 11 mile run)
1.1x > 11 - 2.2 miles
1.1x > 8.8 miles
x > 8.8 / 2.2 miles
x > 8 mph
1.1x < 11 miles (we know this is true as the slower runner has to have gone less than 11 miles as the faster runner met him on his way back)
x < 11 / 1.1 miles
x < 10 miles
8 < x < 10
Although x could be any number including decimal between 8 and 10, the obvious first answer would be 9. However we need to check if this answer is correct.
Slower runner distance to the end:
1.1(9) = 9.9 miles
11 - 9.9 = 1.1 miles
Faster runners distance from the end (when coming back)
1.1(9+2) = 1.1(11) = 12.1 miles
12.1 - 11 = 1.1 miles
The speeds 9 mph and 11 mph are now proven to be the right speeds. Using our equation before, we can figure out the distance from the starting point that they meet at. This is just how far the slower runner has gotten. So, 1.1(9) = 9.9 miles from the starting point
If you make x dollars per hour and you work 8 hours, how much money will you make?
Georgia is 7 years younger than 5 times the age of her daughter, Veronica. Veronica will be 14 in 6 years. Part A
Write and evaluate an expression to show Veronica’s age.
Enter the correct answers in the boxes.
Answer:
Veronica's age now =8 years
Step-by-step explanation:
Veronica's age now = x years
Georgia's age now = 5x - 7
Veronica age after 6 year = 14
x + 6 = 14
x = 14 - 6
x = 8 years
What is the value of
3x² + 2y3
when x = -4 and y = -2
Answer:
80
Step-by-step explanation:
[tex]3x^2 + 2y^3[/tex] = [tex](3 * (-4))^2 + (2 * (-2))^3[/tex] = [tex](-12)^2 + (-4)^3[/tex] = [tex]144 + (-64) = 80[/tex]
Find the coordinate point for D that would make ABDC a rhombus.
coordinate plane with points A 2 comma 2, B 3 comma 4, and C 4 comma 1
(5, 4)
(5, 2)
(5, 3)
(3, 0)
Answer: The correct answer is (5, 3)
Step-by-step explanation: I got it right on the exam
(5,3) will make a rhombus.
What is Rhombus?A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.
How to solve?Let D have coordinate (x,y)
The length of all the sides of the rhombus is equal.
length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]
Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)
CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)
We know BD = CD gives,
[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]
By squaring both sides and solving we get,
3y - x = 4 ----------------------(3)
Since BCD is a right-angled triangle,
[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]
BC = [tex]\sqrt{10}[/tex]
10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]
8 = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)
solving equation (3) and (4) we get x = 5 and y = 3
TO Learn more about Rhombus visit:
https://brainly.com/question/2456096
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Blake bought a new set of golf clubs. He found them at Golf Pro for $270. If the store is offering 20% off how much are the new clubs?
Answer:
216
Step-by-step explanation: 270-20%= 216
Solve this equation 1/4 x 10?
Answer: 2.5
Step-by-step explanation:
Answer:
2.5
Step-by-step explanation:
Have a great day :)
A plant is already 51 centimeters tall, and it will grow one centimeter every month. Let H be the plant's height (in centimeters) after M months. Write an equation relating H to M . Then use this equation to find the plant's height after 12 months
i) H = M + 52
ii) H = 25 + 52 = 77 cm
What is the value of the constant in the equation that relates the height and
width of this rectangle?
Answer:
The answer is A
30
Help&EXPLAIN
Don’t use for points or will be reported and I’ll take the points back
Answer:
105
Step-by-step explanation:
A straight line is 180 degrees so 180-75=105
Answer:
x= 105 degrees
Step-by-step explanation:
We know that the sum of x and 75 degrees is equal to 180 degrees.
So that means that x= 180-75 or x=105 degrees
what is 48,000 rounded to the nearest ten thousand
50,000 because 8 is larger than 5 so you round up to 5 in the ten thousands place.
SOMEONE HELP I NEED TO PASS
Solve for X
2x - 8 = 30
Answer:
x=19
Step-by-step explanation:
2x - 8 = 30
get x by itself by adding 8 to both sides
2x=38
divide by 2
x=19
Subtract 3x^2+8x3x 2 +8x from -9x^2+3x-8−9x 2 +3x−8.
Answer:
x =(-8+√-32)/6=(-4+2i√ 2 )/3= -1.3333+0.9428i
Step-by-step explanation:
Your bill at a restaurant was for $36. You want to leave a 15 % tip. What would the tip amount be?
$5.40
$6.20
$4.17
$2.40
helpppppppppppppppppppppppppppp
Hi the answer should be 4
Find the degree of the monomial.
8b^7c^2
The degree of the monomial is?
Answer:
49c2
Step-by-step explanation:
Suppose that a box of 86 circuits is sent to a manufacturing plant. Of the 86 circuits shipped, 5 are defective. The plant manager receiving the circuits randomly selects 2, without replacement, and tests them. If both circuits work, the manager will accept the shipment. Otherwise the shipment is rejected. What is the probability that the shipment is accepted
Answer:
the probability that the shipment is accepted is 0.8865
Step-by-step explanation:
Given the data in the question;
N = 86, n/d = 5 and n = 2
now, without replacement
the probability that the shipment is accepted will be;
probability that the shipment is accepted = probability that non is defectives
so p( non is defective ) = ( (86-5)/86) × ((86-5-1)/(86-1))
p( non is defective ) = ( 81 / 86) × (80/85)
p( non is defective ) = 0.8865
Therefore, the probability that the shipment is accepted is 0.8865
PLEASEEE HELP
I NEED ANSWRR NOW
Answer:
B and C is your answer BH x 1/2 is formula of triangle and formula of rectangle/parallelogram is BH
Please help me ASAP! on these two questions please and thank you have a great and blessed day!
Answer:
1: 1.268, 1.265, 1.256
2: $16.42
Step-by-step explanation:
I did the math.
A Redbox movie costs $1.50. Redbox charges $1 per day for late movies. If Henry's movie is 3 weeks late, how much money does he owe for his movie?
Answer:
$22.50
Step-by-step explanation:
3 weeks = 21 days
21 × 1 + 1.50
21 + 1.50
22.50
A florist sells a dozen roses for $22.60. She sells individual roses for the same unit cost. Write an equation to represent the relationship between the number of roses, x and the total cost of the roses, Y. How much would 18 roses cost ?
please answer asap
Answer:
The cost of the roses are $53.10
Celebration! Hope this helps ^_^
The number of tadpoles in a particular pond on March 1st of any particular year is Pn the population is modelled by the interactive formulae
The population is modelled by the interactive formulae Pn+1 = k(Pn+60)
Answer:
get them googel
Step-by-step explanation:
If R, S, and T are collinear and RS + ST = RT, which of the following is true?
T is between R and S.
RS = RT
S is between R and T.
S is the midpoint of ./rt
Answer:
[tex]S \: is \: between \: R \: and \: T.[/tex]
Answer:
S is between R and T.
Step-by-step explanation:
1.
a.
- 12.5-(-12)
Noah said the value of this expression is -0.5. Is he correct? Explain or show your reasoning to prove
your answer.
Answer:
Yes he is correct!!!!!!
A salesman makes both a base salary and also a commission, which is a percentage of
what he sells. Each month, if his sales total s dollars, he makes a total of 5000+ 0.2s. What
does the 5000 represent?
Answer:
a salesman make 5000+0.2
total 5000+5000.2=10000.2
HELP FAST FAST FAST PLS ILL LOVE YOU FOREVER <3
Mr. Lewis showed his friend part of the prime factorization of 70. Fill in the missing factor.
2 x _ x 7
Answer:
5
Step-by-step explanation:
2x5x7=70
Together, Rahman and Elissa have 120 DVDs. Rahman's collection has 5 times as many DVDs as Elissa's collection. Which
equation can be used to determine the number of DVDs in Elissa's collection?
Answer:
B
Step-by-step explanation:
rahman's collection represents the 5x and Elissa's represents the singluar x. Rahman has five times as many as Elissa, 5x is five timas as big as x. this means x=20. Rahman has 5x20=100 DVDs and Elissa has just 20.
A system may become infected by some spyware through the internet or e-mail. Seventy percent of the time the spyware arrives via the internet, thirty percent of the time via e-mail. If it enters via the internet, the system detects it immediately with probability 0.6. If via e-mail, it is detected with probability 0.8. What percentage of times is this spyware detected
Answer:
This spyware is detected 66% of times.
Step-by-step explanation:
We have these following percentages:
Seventy percent of the time the spyware arrives via the internet, and in this case is detected 60% of the time.
Thirty percent of the time the spyware arrives via e-mail, and in this case is detected 80% of the time.
What percentage of times is this spyware detected
0.7*0.6 + 0.3*0.8 = 0.66
This spyware is detected 66% of times.
anyone?............
[tex] \frac{132 }{2?} = 66[/tex]
hey i need help!!!!!!
Answer:2.10%
Step-by-step explanation:
2 is the whole number with 1/10 being also = to 10/100s