========================================================
Explanation:
x = Jose's speed in mph
x+35 = Kayla's speed since she drives 35 mph faster than Jose
Jose gets a 2.1 hour head start and it takes Kayla 1.2 hours to reach him. So this means Jose has been driving for 2.1+1.2 = 3.3 hours when Kayla reaches him. The distance he travels is
distance = rate*time
d = r*t
d = x*3.3
d = 3.3x
while Kayla's distance equation is
d = r*t
d = (x+35)*1.2
d = 1.2x+42
Since Kayla meets up with Jose at the 1.2 hour mark, this means the two distances they travel is the same. Set their distance expressions equal to one another. Solve for x.
3.3x = 1.2x+42
3.3x-1.2x = 42
2.1x = 42
x = 42/(2.1)
x = 20
Jose's speed is 20 mph, while Kayla's speed is x+35 = 20+35 = 55 mph.
Jose's fairly slow speed is probably due to a number of factors such as heavy traffic, icy roads, or poor visibility. Kayla probably got a bit of a break with more favorable conditions.
Since Jose travels at 20 mph and does so for 3.3 hours, he travels d = r*t = 20*3.3 = 66 miles. Kayla travels d = r*t = 55*1.2 = 66 miles as well. We get the same number each time to help confirm the answer.
Which of the following best describes the slope of the line below?
Answer:
Negative
Step-by-step explanation:
The slope of the line is negative because when looking at the graph, you can see that the line starts in the 2nd quadrant and ends in the 4th.
Susan loaned Marcel $19,080 at an interest rate of 17% for 5 years. How much will Marcel pay Susan at the end of 5 years? Round your answer to the nearest cent, if necessary.
plss help me.......
Answer:
The slope
Step-by-step explanation:
The ratio of good guys to bad guys was 15 to 4. If there were 75 good guys, how many bad guys were there ?
[tex]\begin{array}{ccll} \stackrel{guys}{good}&\stackrel{guys}{bad}\\ \cline{1-2} 15&4\\ 75&x \end{array}\implies \cfrac{15}{75}=\cfrac{4}{x}\implies \cfrac{1}{5}=\cfrac{4}{x}\implies x = 20[/tex]
Number of bad guys = 12
What is ratio?The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.
Given,
Ratio of good to bad guys = 15:4 = 15/4
No. of good guys = 75
Let the no. of guys be x
⇒ 15:4 = 75:x
⇒ 15/4 = 75/x
Cross multiplying
15 x = 75×4
x = (75/15)×4
No. of bad guys = (75/15)×4
= 3 × 4
No. of bad guys = 12
Hence, there are 12 bad guys.
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1: Solve and Graph: 5-3(x - 1)> 2
2: Solve and Graph: 2x - 3> 7 or x+5<2
3: Solve for x: |1x-5|=13
Answer:
3) x=18 , -8
Step-by-step explanation:
hi
hope it helps you
Jonah and Jesse are taking a trip. Jonah left at 7 a.m. and travel at an average of 40 miles per hour. Jesse left at 10 a.m. and travel at average of 50 mph. At what time are they at the same place at the same time? Write a system of equations to represent this situation. Then use the substitution method with that system to determine at what time they will be in the same location. How many miles away from will they be at that time?
NO LINKS!
Answer:
y=40(t -7); y=50(t-10)t=22; 10 p.m.y=600 miles from homeStep-by-step explanation:
a) Let t represent the clock time (hours after midnight). The distance from home will be ...
distance = speed × time
jonah = 40(t -7)
jesse = 50(t -10)
jonah = jesse . . . . . . . same distance from home at the same time
(Note: you could let y = distance traveled and use y in both equations. That would give 2 equations in 2 unknowns, instead of 3 equations in 3 unknowns.)
__
b) substituting the first two equations into the second, we get ...
40(t -7) = 50(t -10)
4t -28 = 5t -50 . . . . . . . divide by 10, eliminate parentheses
22 = t
Jonah and Jesse will be at the same place at 10 p.m.
__
c) We can find the distance by substituting into either equation.
jonah = 40(22 -7) = 40(15) = 600
They will be 600 miles from home at that time.
Whats the solution to this problem
9^3x-3=81x+2
how to solve this problem the answer is -555498
Which is equivalent to the following expression? (2x - 1)(x + 3)
Answer:
2x2+5x−3
Step-by-step explanation:
Expand the polynomial using the FOIL method.
T is the midpoint of RS, T has coordinates (6, 4), and S has coordinates (3,-2). What are the
coordinates of R?
Answer:
help
Step-by-step explanation:
In a parking lot 30% of the cars are white write this as a decimal
Answer:
0.3
Step-by-step explanation:
Answer:
[tex]{ \tt{30\% = 0.3}} \\ [/tex]
The population of Fantasy City doubles each month. When will the city be half populated if it will be fully populated in 10 months.
Using an exponential function, it is found that the city will be half populated in 9 months.
The population of Fantasy City doubles each month, hence, after t months, the population is given by:
[tex]P(t) = P(0)2^{t}[/tex]
In which P(0) is the initial population.Fully populated in 10 months, hence, the full population is:
[tex]P(10) = P(0)2^{10} = 1024P(0)[/tex]
Hence, half populated is [tex]P(t) = \frac{1024P(0)}{2} = 512P(0)[/tex], hence:
[tex]P(t) = P(0)2^{t}[/tex]
[tex]512P(0) = P(0)2^{t}[/tex]
[tex]2^t = 512[/tex]
[tex]2^t = 2^9[/tex]
[tex]t = 9[/tex]
The city will be half populated in 9 months.
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The table below shows the deposits (+) and withdrawals ( - ) each week for a newly opened bank account with a starting balance of $100.
DEPOSITS AND
WITHDRAWALS
Week 1+120
Week 2 -100
Week 3 +50
Week 4 P
Week 5 +200
Week 6 -100
Week 7 -25
Week 8 +50
Part A: What is the value of p if the account shows a zero balance after 4 weeks?
From the given table, the positive sign connote deposit while the negative sign connotes withdrawal.
If the account shows a zero balance after 4 weeks, we will take the sum of all deposits and withdrawals for the first four weeks and equate to zero as shown:
[tex]+120+(-100)+50+p=0[/tex]
Open the parenthesis:
[tex]+120-100+50+p=0\\20+50+p=0\\70+p=0[/tex]
Subtract 70 from both sides
[tex]70+p-70=0-70\\p=-70[/tex]
Hence the value of p if the account shows a zero balance after 4 weeks is -70
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I need help on this 1 problem on math
Answer:
x = 21
Step-by-step explanation:
2x+78 = 5x+15,
because corresponding angles will allow (2x+78) to move diagonally from 5x+15.
from built geometry knowledge,
angles diagonal from one another equal,
because (example) the angle above it would be 180-(2x+78),
then 5x+15 = 180 - [180-(2x+78)], which would ultimately be 5x+15 = 2x+78.
so, 2x+78 = 5x+15
78-15 = 5x-2x
63 = 3x
21 = x
Solve for x. Round to the nearest tenth, if necessary.
1.8
P
х
1400
o
Answer:
13.6
Step-by-step explanation:
(2+√3)+(4-√3)
[tex] [/tex]
Explanation :
________________________________
Given:
(2+√3)+(4-√3)
To Find:
Evaluate the expression
Solution:
⇨Step 1:
Remove the parentheses
(2+√3)+(4-√3)
When there is + or no sign in front of an expression in parentheses, the expression remains the same
= 2 + √3+ 4-√3
⇨Step 2:
Cancel the opposite terms √3 and -√3
"Two numbers are opposites if they have the same absolute value but different signs"
= 2 + 4
⇨Step 3:
Add the numbers
= 6
Hence (2+√3)+(4-√3) = 6.
Please help me find the height of 302 after some seconds?
Step-by-step explanation:
Since the initial velocity of the object is 170 ft/s, the expression for h is given by
[tex]h = -16t^2 + 170t[/tex]
In order to find the time it takes for the object to reach the height of 302 ft, we to rewrite the equation above as
[tex]302 = -16t^2 +170t \Rightarrow 16t^2 - 170t + 302 = 0[/tex]
This is a quadratic equation whose roots are
[tex]t = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]
where a = 16, b = -170 and c = 302. Using these values, we get
[tex]t = \dfrac{170 \pm \sqrt{(-170)^2 - 4(16)(302)}}{2(16)}[/tex]
[tex]\;\;\;=\dfrac{170 \pm \sqrt{28900 - 19328}}{32}[/tex]
[tex]\;\;\;= \dfrac{170 \pm 97.8}{32}[/tex]
[tex]\;\;\;= 2.3\:\text{s},\;\;8.4\:\text{s},[/tex]
This means the object will reach the height of 302 ft 2.3 seconds after launch and then at 8.4 seconds after launch (on its way down).
Answer:
Step-by-step explanation:
Help help help math math
Answer:1 or 2/2
Step-by-step explanation:
-2 to 0 is adding 2 and 0 to 3 is also adding two so for x it will be two
For Y it is from 4 to 6 so it is also adding 2 and from 6 to 8 your also adding 2
So y will be 2
And 2/2 is 1
PLEASE HELPPPPP
Write the equation of the circle in standard form from the given information. Show all work.
Center (0,0)
Diameter = 14
hii
l have some dought
Answer:
I'm sorry what?
Pls help i neeed to get my grade up badly
Step-by-step explanation:
12 - 1/2r = ( 13 - 3/2r ) - ( 1 - r )
r - 13/6 = ( 7r - 3/2 ) - ( 2/3 + 6r )
13r + 20 = ( 6r + 7 ) + ( 13 + 7r )
-12 + r = ( -8 - r ) + ( 2r - 4 )
Meadow Academy's spring festival is coming up, and Ms. Rivera is in charge of ordering the butterfly kits again. She knows she ordered 6 cases of butterfly kits last year but can't remember how many kits come in a case. When she checks the records, Ms. Rivera finds that the school used 417 of the butterfly kits last year and had 63 left over after the festival. How many butterfly kits come in each case?
Answer:
Step-by-step explanation:
its 80 i just did the question
Each case contains 80 butterfly kits.
What is unitary method ?Unitary method is a mathematical technique for finding the value of a single unit and then deriving the given unit by multiplying with it.
According to the given question Ms. Rivera ordered 6 cases of butterfly kits last year out of which the school used 417 of the butterfly kits and had 63 left over after the festival.
So, the total no. of butterfly kits is (417+63) = 480 kits and it was contained in 6 boxes.
∴ The no. of butterfly kits in each case is 480/6 which is
= 80 butterfly kits.
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Mario and Luigi are in a race in their new cars. Luigi has a 1000 foot head start and he travels at a speed of 4000 feet per minute Mario travels at a speed of 4200 feet per minute.
Write an equation to represent how far Luigi has traveled at any given number of minutes.
Write an equation to represent how far Mario has traveled at any given number of minutes.
If the race ends at 3 minutes, who wins?
How long in minutes would it take for Mario and Luigi to tie the race.
Answer:
mario lost the race and luigi won
Step-by-step explanation:
6. Rachael is married with 2 dependents. Her salary as a dental hygienist is $47,650 paid
in 26 pay periods. Find the state tax withheld per pay period.
Answer:1.2389 million US$
Step-by-step explanation:
LAST ATTEMPT IM MARKING AS BRAINLIEST!! ( Pythagorean theorem )
Answer:
x=sqrt(7)
Step-by-step explanation:
Since this is a right triangle, we can use the pythagorean theorem
a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse
x^2 + ( sqrt(7))^2 = (sqrt(14))^2
x^2+7 = 14
x^2 = 14-7
x^2 = 7
Take the square root of each side
sqrt(x^2) = sqrt(7)
x=sqrt(7)
Find the quotient.
3/8÷ 2/7
3/28
1 5/16
16/21
1 3/28
Answer:
B
Step-by-step explanation:
[tex] \frac{3}{8} \div \frac{2}{7 } \\ = \frac{3}{8} \times \frac{7}{2 } \\= \frac{21}{16} \\ = 1 \frac{5}{16} [/tex]
Activity 1.
Direction. Using the diagram below, form ratios. Express them in lowest term to
To form a proportion
Answer:
6:3 =2:12:2=1:16:13:24:14=2:7Please answer
2x^2+7x+3=0
Answer:
x+-(1)/(2),-3
Step-by-step explanation:
Thank you:)
What is needed to get accurate measurement of distance/length? Explain
REI.C.6 Level 1
below.
2. A student is solving the system,
2x + 3y = 12
5x - 2y = 11
algebraically. Their work is shown below but is unfinished.
Continue where the student left off and solve the system.
2x + 3y = 12
5x - 2y = 11
=
2 (2x + 3y = 12)
3 (5x - 2y = 11)
4x + 6y = 24
15x – 6y = 33
-
Answer:
The solution is x = 3, y = 2.
Step-by-step explanation:
4x + 6y = 24
15x – 6y = 33 Add these 2 equations:
19x = 57
x = 57/19
x = 3. Now Substitute for x in the original equation:
2(3) + 3y = 12
3y = 12 - 6
2y = 6
y = 2.
A car is driving at 100kilometers per hour. How far, in meters, does it travel in 2 seconds? Give answer to
nearest meter.
Answer:
72
Step-by-step explanation:
brainlest pls