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
A shoe store uses a 60% markup for all of the shoes it sells. What would be the selling price of a pair of shoes that has a wholesale cost of $55?
The selling price should be $88
Given that,
The markup percentage is 60% and the wholesale cost is $55.calculation:= $55 + (60% of $55)
= $55 + $33
= $88
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Answer:
88
Step-by-step explanation:
Solve the equation for x.
4x = 32
A) x =
1
8
B) x = 8
C) x = 28
D) x = 36
Answer:
B) x = 8
Step-by-step explanation:
4x = 32
4x/4 = 32/4
x = 8
I hope this helps! May I have brainliest pls? :)
2x + 3y = 53
3x - y = 19
Work out the values of x and y.
Answer:
y = 11
x = 10
See pictures for how to do it and ask me if you still dont understand
The following expression represents the profit made by John as he mows lawns: P = 20L
- 100
Which description correctly interprets each part of the expression?
its c because i already did that and got it right
At high tide, the bay is at 10 feet. As the tide recedes it is now at 8 feet. What is the percent change
If I'm correct the answer would be 8.
Consider the pyramid below:
12 cm
15 cm
What is the length of a ?
Write the ratio 42:24 in its simplest form.
Answer:
7:4
Step-by-step explanation:
42:24
divide both sides by 6
7:4
Answer:
Find the GCD (or HCF) of numerator and denominator. GCD of 42 and 24 is 6.
42 ÷ 624 ÷ 6.
Reduced fraction: 74. Therefore, 42/24 simplified to lowest terms is 7/4.
Step-by-step explanation:
Do the fractions in the table convert to repeating or terminating decimals in each row of the table select either repeating decimal or terminating decimal as your answer
2/9 has a repeating decimal
3/25 has a terminating decimal
7/40 has a terminating decimal
5/11 has a repeating decimal
4/5 has a terminating decimal
Hope this helped! :)
The average annual salary for a teacher national is $58,350 this is projected to increase 2% per year for the next four years what will your projected annual salary be in four years
Answer:
Step-by-step explanation:
[tex]F=Ir^t,\text{ where F=final amount, I=initial amount, r=rate of change, t=time}\\ \\ F=58350(1.02)^4\\ \\ F=\$ 63159.92[/tex]
please help giving lot of points
Answer:
They would need to sell 32 calendars to EXCEED their goal.
Explanation:
8 x 32= 256, which is more than the $250 needed!
Step-by-step explanation:
Two expressions are shown below. Explain whether or not expressions P and Q are equivalent.
P: 2(3x –9)
Q: 6x –9
Answer:
Not equivalent
Step-by-step explanation:
So basically when it says 2(3x-9) to simplify you need to remove the parentheses so the 2 multiplies both like this; 2×3x + 2×-9= 6x-18
So, 6x-9 is not equal to 6x-18
Answer:
It wouldnt be equivalent
for P, you have to do distributive property.
2×3x equals 6 and then you times 2×-9 which is -18. P= 6x-18. Therefore, it is not equivalent.
The scatter plot shows the number of hours of sleep each night and the number of hours of television watched. Use the scatter plot to complete this statement: A person who watches ________ hours of television would expect to get 12 hours of sleep.
Answer:
It's 1
Step-by-step explanation:
The x axis is the "Hours of Sleep Each Night"
Look at 12 on the x coordinate
Look at y axis
You then see that A person who watches ____1____ hours of television would expect to get 12 hours of sleep.
Answer:
its 1 because i already had TTM with Mrs.Kajmowics and Mrs.Ortiz
Step-by-step explanation:
4. Which of the following equations represent
linear function?
O A. y = 3x2
6
B. y = 2
C. y=V x + 6
D. y= }++3
Help fast pls
Answer:
Can you take picture, please?
What is the value of 6x - 3y if x = 5 and y = 1
Answer:
6x-3y
6(5)-3(-1)
30+3
The answer is 33
Step-by-step explanation:
Brainliest please :)
answer: 27
6×5-3×1
30-3=27
solve each proportion algebraically. show your work. n/6 = 25/30
HELP ASAP Four times the quotient of 3 and 4.
Answer:
it is 4
Step-by-step explanation:
all you do is multipla
(x^b-c)^1÷bc×(x^c-a)^1÷ac×(x^a-b)^1÷ab
why wealthy colonists used the Africans as workers? help asp
Answer:
they provided cheap labour
Step-by-step explanation:
this is because Africans were sold as slaves to the rich colonialists.
"Y varies directly as x". If y = 3 when x = 24, find y when x = 10.
Answer:
y=3x-24
Step-by-step explanation:
help please mathematics
HELP!!!ITS DUE IN AN HOUR
A salesperson at a jewelry store earns 5% commission each week. Last week, Heidi sold $530
worth of jewelry. How much did she make in commission? How much did the jewelry store make
from her sales?
Heidi earned in commission.
Answer:
26.5
Step-by-step explanation:
dont worry I'm actually the salesperson at the jewlery store
Step-by-step explanation:
it is not confrmed answer
commission:106%
the photo says it all
What is the value of the expression shown? 24-5^2
Answer: -1
Step-by-step explanation:
Order of Operations, 5 to the power of 2 is 25 24-25 is -1 Hope this helps!
Answer:
-1
Step-by-step explanation:
24 - 5^2
24-25
=25-24
= -1
define oayday lenders
Isaiah scores with 50% of his penalty kicks in soccer. He flips two fair coins to conduct a simulation with 20 trials to determine the likelihood that he will make his next two penalty kicks, as shown. Heads up (H) represents a goal. What is the probability that Isaiah will make both penalty
TH HH TT HT
TH HH HH TT
HT TH TT HH
HT HH HH TT
HT HH TH TT
P(two goals) kicks? Give the probability as a percent. Enter your answer in the box.
Answer:
35%
Step-by-step explanation:
He made 7 out of 20 goals
7/20=0.35=35%
The probability as a percentage is 20%.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
Out of the five Trials,
We can see that only one of them has Isaiah making both penalty kicks (TH HH HH TT).
Therefore, the probability that Isaiah makes both penalty kicks is 1/5 or 0.2.
Converting to a percentage,
0.2 x 100
= 20%
The probability is 20%.
Thus,
The probability as a percentage is 20%.
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Given m<2 = 55°, find the measure of each missing angle.
Answer:
1. m<1 = 125°
2. m<4 = 125°
3. m<6 = 55°
4. m<8 = 125°
Step-by-step explanation:
1. 180 - 55 = 125
2. 180 - 55 = 125
3. m<2 = m<6 , m<6 = 55°
4. m<4 = m<8 , m<8 = 125°
The sum of eight times a number and negative exceeds twelve.
Answer:8x + -4 > 12
8x > 16
x > 2
Step-by-step explanation:
6. For a trip to the beach, Kelly drove for 5/6 hour and Joshua drove for 2/5 hour. How much longer did Kelly drive than Joshua? Find the exact amount.
The number of hours Kelly drove longer than Joshua is 13/30 hours.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
The number of hours driven by Kelly.
= 5/6 hours
The number of hours driven by Joshua.
= 2/5 hours
Now,
The difference between the number of hours driven by Kelly and Joshua.
= 5/6 - 2/5
= (25 - 12)/30
= 13/30
Thus,
Kelly drove 13/30 hours longer.
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What is the quotient in simplest form?
12/7 divided by 3
Answer:
your answer would be 4/7.
Step-by-step explanation:
divide the 12 by 3 giving 4 ... 4/7
$750 loan 7% a year three years of no payments how much interest are you paying?
Answer:
$157.50
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 7%/100 = 0.07 per year,
then, solving our equation
I = 750 × 0.07 × 3 = 157.5
I = $ 157.50
The simple interest accumulated
on a principal of $ 750.00
at a rate of 7% per year
for 3 years is $ 157.50.