At 9 a.m., Jessica started riding on the Red Mountain Parkway at the 40-mile marker.
At the same time, Kate started riding on the Red Mountain Parkway at the 10-mile
marker. Jessica rides her motorcycle at a rate of 30 miles per hour. Kate rides her
motorcycle at a rate of 40 miles per hour. If they are both riding in the same direction,
which graph shows the number of hours after 9 a.m. when Jessica and Kate will be in
the same position on the parkway?
Answer:
See below
Step-by-step explanation:
Start time = 9 A.M.
JessicaStart point- 40 milesSpeed - 30 mphEquation:
y = 40 + 30xKateStart point- 10 milesSpeed - 40 mphEquation:
y = 10 + 40xNote. There is no graph but see the attached. It should be similar graph for this case
The will meet after 3 hours at 130 miles mark
Solving the system of equations we get:
40+30x = 10 + 40x10x = 30x = 3And y is:
y = 40+3*30 = 130(3, 130) is the intersection of lines
Since it takes 3 hours for Jessica and Kate, it happens at 12 A.M.
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Answer:
12.5%
Step-by-step explanation:
60
70
50
Find angle x
Answer:
Where is the pictureeeeeeee
Answer:
picture??
Step-by-step explanation:
what is the domain of the function y= cube root x-1
Answer:
A on edge
Step-by-step explanation:
just took the test
What is the answer to: −12x−16≥32
Answer:
hello there mate
Step-by-step explanation:
Answer:
x≤−4
Step-by-step explanation:
if you want me to explain how I got the answer reply yes
If Sally had six balls and Mark had seven how many balls did he have in all
Step-by-step explanation:
he had 7 balls
hope he healthy that's a lot of balls to have
Answer:
13 i think 6+7 = 13 yeh yeh
A ball is dropped from a height of 9 meters. On each bounce, it rises to 35% of its previous height.
When it hits the ground for the sixth time, how far has it traveled?
Round your answer to the nearest hundredth.
Help plsss I have 10 minutes!!!!20 points!!!!
Answer:
its d
Step-by-step explanation:
4 + √2 divided by 3 - 5√2
Answer:
-2.59966329107
Step-by-step explanation:
Please help! Question posted above ^
Answer:
( x^2 - 6 )^2
Step-by-step explanation:
x^4 -12x^2 +36Find one factorFactor by grouping(x^2 - 6x) (x^2 - 6x)*solution* ( x^2 - 6 )^2
PLEASE HELP THIS IS TIMED!!!! I WILL GIVE BRAINLIESTTTTTT
The table below represents a linear function f(x) and the equation represents a function g(x):
x f(x)
−1 −3
0 0
1 3
g(x)
g(x) = 7x + 2
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)
Part B: Which function has a greater y-intercept? Justify your answer. (4 points)
(10 points)
Answer
Given: Sorry the images are at the bottom.
To find:
Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x).
Part B: Which function has a greater y-intercept? Justify your answer.
Solution:
On inspection of values of x and f(x) it is clear that f(x) is a linear function
i.e.
1)Slope of f(x) and y-intercept of f(x):
Convert the function in slope intercept form and calculate the slope.
Slope intercept form:
Here,
Slope of f(x)=1,
y-intercept of f(x)=(0,0)
2) Slope and y-intercept of g(x):
Slope of g(x)=7
Y-INTERCEPT of g(x) =(0,2)
Part A:
Slope of f(x) is 1 and slope of g(x) is 7.
Part B:
g(x) has a greater y-intercept.
Hope it helps you.
One-third of Olivia's age, increased by 12, is equal to twice her age, decreased by 3. How old is Olivia?
Answer:
Olivia is 9 years old.
Step-by-step explanation:
1/3 of o (Olivia's age) increased by 12, is twice of o minus 3. The equation for this would be 1/3o + 12 = 2o - 3. (The left side could be o/3 as well.)
1/3o + 12 = 2o - 3
Subtract 2o from both sides
-5/3o + 12 = -3
Subtract 12 from both sides
-5/3o = -3 - 12
Subtract 12 from -3 to get -15
-5/3o = -15
Multiply both sides by -3/5, the reciprocal of -5/3
o = -15 (-3/5)
Express -15(-3/5) as a single fraction
o = -15 (-3)/5
Multiply -15 by -3 to get 45
o = 45/5
Divide 45 by 5 to get 9.
o = 9
To make sure this works, substitute 9 for o.
1/3(9) + 12 = 2(9) - 3
3 + 12 = 18 - 3
15 = 15
Both sides match each other, so o equals 9.
Olivia is 9 years old
Let the age of olivia be "x"One-third of Olivia's age is expressed as 1/3xIf it is increased by 12, the expression becomes 1/3 x + 12Twice her age decreased by 3 is expressed as 2x - 3
Equate both expressions and find x
1/3x + 12 = 2x - 3
1/3x - 2x = -3-12
(x-6x)/3 = -15
-5x = -45
x = 9
Hence Olivia is 9 years old
Learn more on equations here; https://brainly.com/question/2972832
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
Answer:
only one solution
Step-by-step explanation:
Complete question:
Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 2x − y = 2 3x + y = −6 one and only one solution infinitely many solutions no solution Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is no solution, enter NO SOLUTION.) (x, y) =
Given the expression
2x − y = 2 .... 1
3x + y = −6 ..... 2
We are to determine the number of solution the equation has:
Add equation 1 and 2
2x + 3x = 2 - 6
5x = -4
x = -4/5
Substitute x = -4/5 into 1
From 1: 2x − y = 2 .... 1
2(-4/5) - y = 2
-8/5 - y = -2
-y = -2+8/5
-y = -10+8/5
-y = -2/5
y = 2/5
Since the value of x and y are just 1 hence the system of equations has ine solution
List three different combinations of coins, each with a value of 30% of a dollar.
Answer:
1. 3 dimes
2. 1 quarter and a nickel
3. 30 pennies
Step-by-step explanation:
i hope this is it and i hope this helped <3
Answer:
3 nickels, 1 quarter and 5 pennies, and 30 pennies
Step-by-step explanation:
30% of a dollar is 30 cents. those all equal 30 cents
if f(x)= x-5 then match the following
Answer:
one number is -6
two number is -5
3. -4
4. -3
5. 0
6. 3
-) Write 32 + 24 as a product of two factors using the GCF
and the distributive property.
32 + 24
?
+
?
Answer:
8 (4+3)
Step-by-step explanation:
32 + 24 as a product of two factors using the GCF is 8(4 + 3).
Greatest common factor (GCF)?The greatest common factor (GCF) of two number is the largest number which can divide both the numbers completely.
Given,
The expression is 32 + 24 .
The greatest common factor of 24 and 32 can be found using the following method.
Common factors of 24 and 32 are:
2, 4, and 8
Out of all the common factors 8 is the largest number.
Therefore greatest common factor of 24 and 32 is equal to 8.
Taking the GCF out we get:
8(3 + 4)
Hence, 32 + 24 as a product of two factors using the GCF is 8(4 + 3).
To learn more about GCF visit:
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Bryan wants to buy a new pair of jeans. If the jeans were originally $45.00, but are on sale with a 20% discount, how much will Bryan have to pay for the jeans?
Answer:
20% of 45= 9 so you would subtract 9 from 45 getting you 39
Step-by-step explanation:
45-9=39 he would have to pay $39
A box weighs 3.2 pounds. The box contains packs of crayons, which each weigh .5 pounds. The total weight of the box and the crayons is 10.7 pounds. How many packs of crayons are in the box
4x−5 for x=10
Please, I really need the answer.
Answer:
4(10)-5=35
Step-by-step explanation:
4(10)=40-5=35
4(10) is the same as 4x10
So think about it like 4x10-5
I hope this helps ;}
find the slope thanks
the price of some medication was increased from $8 to $12. By what percentage was the price of the medicine increased ?
Marquis started at an elevation of 3000 feet and hiked down a mountain at a constant rate. His elevation decreased 500 feet per hour.
Graph the relationship between Marquis’ elevation and time as he hiked down the mountain.
Answer:
if u divide it then slop it u will get your answer
Step-by-step explanation:
Which is the fraction for 33%
33% in fraction is 33/100.
Please mark as brainliest ~
Please help this is for a grade and I need it answered soon
Answer:
option D
Step-by-step explanation:
5c(3c²)³
5c(27c^6)
135c^7
Below are four different advertisements at four different stores for the same jeans. JL Fashion Mart Tops, Bottoms, and More Boy's Jeans Regular Price: $16 Sale Price: 20% off each Boy's Jeans Regular Price: $27 Coupon: Buy 2, get 1 free Clothing Outlet We Sell Everything Boy's Jeans Regular Price: $20 Coupon: Buy 1, get 1 for $1 Boy's Jeans Regular Price: $25.99 Sale Price: Rebate of $5 each Mr. Marks is shopping for three pairs of jeans for his son. If he buys exactly 3 pairs of jeans, which store will give the greatest cost savings? A. JL Fashion Mart
Answer: JL Mart
Step-by-step explanation:
The equation for line g can be written as y = x + 5. Parallel to line g is line h, which passes through the point (-6, -4). What is the equation of line h? SHOW WORK PLEASE
Answer:
y=x+2
Step-by-step explanation:
we know the slopes have to be equal because the lines are parallel, so the slope is 1, or written as x. plug the point given, (-6,-4), and the slope, 1, into the y=mx+b equation to find the y-intercept. then solve. then put the slope and y-intercept together for the equation of line h.
y=mx+b, m=1, x=-6, y=-4
-4=(1)(-6)+b
-4=-6+b
2=b
y=x+2
what fraction is equivalent to -3/2
Answer:
-1 1/2
Step-by-step explanation:
A bottle contains 24oz of liquid medication.If the average dose is 2/3oz. How many dose does the bottle contain
Answer:
36
Step-by-step explanation:
keep, flip, change...
24 ÷ [tex]\frac{2}{3}[/tex] would be the same as [tex]\frac{24}{1}[/tex] × [tex]\frac{3}{2}[/tex] which is equal to [tex]\frac{72}{2}[/tex] (36 if you simplify it)
The number of dose of 2/3oz of liquid medication does the bottle contain is 36.
What is the fraction number?Fraction number is the number which is a part of a whole number. It is written with a numerator and denominator. Fraction number are written as,
[tex]\dfrac{a}{b}[/tex]
Here (a) is the numerator and (b) is the denominator.
A bottle contains 24oz of liquid medication and the average dose is 2/3oz.
Let suppose the number of dose does the bottle contain is n. There is total 24oz of liquid medication in the bottol.
As the average dose is 2/3oz. Thus the number of dose in the bottle which has 24oz of liquid medication is,
[tex]n=24\div\dfrac{2}{3}\\n=24\times\dfrac{3}{2}\\n=36[/tex]
Thus, the number of dose of 2/3oz of liquid medication does the bottle contain is 36.
Learn more about the fraction number here:
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Your bill at pizza hut is $30. You leave 20% tip. Whats is the amount of tip?
You gave $30.
[$30 * 0.20] (tip % amount) = $6.
You left $6 in tips.
Marcus can drive his boat 36 miles down the river in 3 hours but takes 4 hours to return upstream. Find the rate of the boat
in still water and the rate of the current.
Answer:
With river 12 miles per hour
Against river 9 miles per hour
wv = water velocity vsw = boat velocity in still water
vsw +wv = 12 mph
vsw -wv = 9 mph
2 * vsw = 21 mph
boat velocity in still water = 10.5
Since vsw + wv = 12 then
water velocity = 1.5 mph
Step-by-step explanation:
Answer:
speed in still water: 10.5 Current: 1.5
Step-by-step explanation: