Answer:
Darrell is 12 years old while Darrell is 18 years old
Step-by-step explanation:
Let Myles age be m and Darrell age be d
Single Myles is older, m > d
Square Darrell’s age and multiply by 2; d^2 * 2 = 2d^2
Subtract from the square of Myles age
m^2 - 2d^2
Result is 6 times the difference between their ages;
m^2 - 2d^2 = 6(m-d) •••••••••••(i)
When add Myles and Darrell age
m+ d
you get 5 times the difference between their ages 5(m-d)
m + d = 5(m-d)
m + d = 5m - 5d
5m - m = 5d + d
4m = 6d
m = 6d/4
m = 1.5d or 3/2d ••••••••(ii)
Put ii into i
(3/2d)^2 - 2d^2 = 6(3/2d - d)
9/4d^2 - 2d^2 = 6(1/2)d
Multiply through by 4
9d^2 - 8d^2 = 12d
d^2 = 12d
d^2 - 12d = 0
d(d -12) = 0
d = 0 or d-12 = 0
d = 0 or 12
d = 12 years
The age cannot be zero (if Darrel age is zero, then Myles age will be zero too, this cannot work as their ages are not equal)
So we choose 12 years
Recall ; m = 3/2 d = 3/2 * 12 = 18 years
a group of hikers begin in an elevation of -29 feet below sea level. they travel up a mountain side until they were on an elevation of 245 feet abos sea level. what was the total change in elevation for the hikers?
Answer:
-28
Step-by-step explanation:
In an apartment building, there is only one elevator that residents are allowed to use. The elevator picks up six people in the main lobby and ascends 4 floors. Next, the elevator ascends another 2 floors and descends 3 floors. The elevator ascends 8 more floors, then descends 2 floors. The elevator finally descends another 2 floors before getting stuck. What floor is the elevator stuck on?
Answer:
It is stucked on the 9th floor
Step-by-step explanation:
We want to know the floor on which the elevator is stucked.
The main lobby is the ground floor and has a value of 0 floor
Ascends four floors with 6 people from the lobby
It is now on floor 4
Ascends another two so it is now on floor 4 + 2 = 6
Ascends another 2, then descend descends 3
That will be 6 + 2 -3 = 5th floor
Ascends 8 more , then descend 2
That will be 5 + 8 -2 = 11
Descends another 2, making 11 - 2 = 9
It is stucked on floor 9
Kindly note, when it ascends, that is a positive value, when it descends, that is a negative
NEED HELP PLEASE IM BEGGING YOU PLEASE!!!!
THANK YOU ;)
Answer:
Step-by-step explanation:
7 ) -3p=-48
p=-48/-3
p=168) -98=7t
t=-98/7
t=-149) -4.4 y =-4
y=-4/-4.4
y=1.110) 2.8 c=4.2
c=4.2/2.8
c= 1.5Find the range of the function f(x) = 9x − 17 for the domain {1, 3, 5}.
Answer:
range is -8,10,28
Step-by-step explanation:
9(1)-17=-8
9(3)-17=10
9(5)-17=28
Hope this helps
Which expression has the greatest value?
A 3 divided by 1/6
B 5 divided by 1/6
C 5 divided by 1/2
D 3 divided by 1/2
the answer is c you just have to solve each one
If f(x) = 7x + 9, what is the value of f(2)?
Answer: f ^− 1 ( x ) = x /7+ 9/ 7
Step-by-step explanation:
Replace f ( x ) with y .
y = 7 x− 9
Interchange the variables.
x = 7 y − 9
solve for y
y = x/ 7 + 9 /7
Solve for y and replace with f ^− 1 ( x ) .
f ^− 1 ( x ) = x /7+ 9/ 7
(-9) - (-37) =
A -29
B -40
C 28
Answer:c: 28
Step-by-step explanation:
An animal shelter has $2500 in its reserve fund. The shelter charges $40 per animal placement and would like to have at least $4000 in its reserve fund. Write an inequality to represent this situation.
Answer:
Step 1
Write and solve the inequality:
2,500 + 40a ≥ 4,000, or 40a ≥ 1,500
a ≥ 37.5
Step 2
If the shelter places 30 cats and 10 dogs,
or 40 animals, that will be enough to meet
its goal, because a = 40 is a solution to the
inequality a ≥ 37.5.
One car rental agency charges $0.29 per mile plus a $10 weekly fee. Another rental agency charges $.0.35 per mile with no fee. You need to rent the car for 3 weeks. Write and solve an equation to find the number of miles for which both agencies will charge the same.
Answer:
166.67 miles.
Step-by-step explanation:
let the number of mile for which the cost for both car rental be same is x mile
For first car rental
weekly fees charged = $10
cost of 1 mile = $0.29
cost of x miles = x*cost of 1 mile = $0.29x
total money charged by first car rental = $10 + $0.29x
For other car rental
weekly fees charged = 0
cost of 1 mile = $0.35
cost of x miles = x*cost of 1 mile = $0.35x
total money charged by other car rental = $0.29x
_______________________________________
since we have to find miles for which charges are same
thus
total money charged by first car rental = total money charged by other car rental
10 + 0.29x = 0.35x --------------------equation required
=> 10 = 0.35x - 0.29x
=> 10 = 0.06x
=> x = 10/0.06 = 166.67
Thus, the number of miles for which both agencies will charge the same is 166.67 miles.
In the function f(x) = 3x + 2, f(5)
A. 15
B. 16
C. 17
D. 19
Answer:
C. 17
Step-by-step explanation:
3 times 5 is 15 , then you add 15 plus two which equals 17.
Answer:
C. 17
Step-by-step explanation:
In the equation f(5)=3x+2, you substitute 5 for x.
Which makes the equation f(5)=3(5)+2
Simplified f(5)=17 after you multiply 3(5) and add 2.
Hope this helps!
help !! will mark brainliest
Answer:
The answer is b your welcome
Sylvie and Bono hiked to the 6,288-ft summit of Mount Washington, then hiked to Carter Notch Hut for the night. Carter Notch Hut is located at an elevation of 3,288 ft. A number line going from negative 4000 to positive 4000 in increments of 1000. Which point represents the change of elevation in feet on the hike from the summit to Carter Notch Hut? –4000 –3000 3000 4000
Answer:
- 3000 feets
Step-by-step explanation:
Given that:
Elevation at the summit of Mount Washington = 6288 ft
Elevation of Carter Notch Hut = 3,288 feets
The change of elevation in feets on the hike from summit to Carter Not hut:
Difference in elevation:
Summit at Mount Washington - Carter notch hut
6288 ft - 3288 ft
Change in elevation. = 3000 fts
Since the change decreased from 6288 to 3288, the elevation is downward and hence, negative = - 3000 feets
Answer:
b
Step-by-step explanation:
It cost Samantha $4.23 to send 47 text messages. How much does each text cost to send?
Answer:
456
Step-by-step explanation:
Answer:
i think its 0.09
Step-by-step explanation:
Helpppppppppp Meeeeeeeeeee Plssssssssss Problemmm 3
What is the slope of a line perpendicular to the line in the graph
-2/3
3/2
-3/2
2/3
PLS ANSWER ASAP
Answer:
3/2
Step-by-step explanation:
opposite inverse
Please!
Which type of transformation is shown here?
A)
dilation
B)
reflection
C)
rotation
D)
translation
Answer:
A
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
A recipe requires 1/3 cup of milk for each 1/4 cup of water. How many cups of water are needed for each cup of milk ?
Answer:
0.75 or 3/4
Step-by-step explanation:
multiply each by 3 equal full cup of milk and 3/4 of water
Answer the answer is 83
Step-by-step explanation:
put these numbers in descending order
75%
2/5
0.84
2/3
If it took 7 hours to mow 4 lawns, then at that rate how many lawns can be mowed in
35 hours?
Answer: I'm pretty sure they mowed 61 lawns
Step-by-step explanation:
Answer:
20
Step-by-step explanation:
first divide 4 by 7 to see how much lawn ncan be mowed in an hour
4/7=0.5714
multiply by 35 = 19.9999
so almost 20 lawns
Which demonstrates the commutative property? *
O a+b=b+a
O (a + b) + c = a + (b + c)
O a(b + c) = ab + ac
O a+0= a
Answer:
Option A is the right one
Hope this helps you Do mark as brainliestCommutative property; No matter how you arrange the sums you'll get the same answer.
A= LWH for L
L=
What’s the answer
Answer:
A ÷ (WH)
Step-by-step explanation:
If x° and 60° are vertically opposite angles , then x° = ?
Answer:
x° = 60
Step-by-step explanation:
Vertically opposite angles are congruent, thus
x° = 60
Answer:
It is x° = 60 (✿◠‿◠)
HELp PLZLZPLZPLZPLPZLPZLZPLZPLZPZLPZLPZLZPLZPZLPZLZPLZPZLZPLPZLZPLZ
Answer:
pretty sure it's 8 if I'm not mistaken
Luke solves this problem. He says that the difference is 416. 864 − 458 ________ Complete the explanation of the mistake Luke made. Luke regrouped 6 tens 4 ones as ? ten(s) 14 ones. He should have regrouped 6 tens 4 ones as ? ten(s) 14 ones. What is the correct difference? The correct difference is ___ .
Answer:
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
The correct difference is 406.
Step-by-step explanation:
First, we will complete the explanation,
For the difference,864 − 458, Luke got 416;
The explanation of the mistake Luke made is
Luke regrouped 6 tens 4 ones as 6 tens 14 ones
Such that, the difference of the ones (14 - 8) gives him 6 ones,
difference of the tens (6 - 5) gives him 1 ten
and difference of the hundreds ( 8 - 4) gives him 4 hundreds
Hence, his answer 416.
He should have regrouped 6 tens 4 ones as 5 tens 14 ones
So that, the difference of the ones (14 - 8) will give him 6 ones,
difference of the tens (5 - 5) will give him 0 ten
and difference of the hundreds (8 - 4) will give him 4 hundreds
Hence, he would have gotten 406.
The correct difference is 406.
There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?
Answer:
8784. is the answer to the question
Answer:
8,784 hours
Step-by-step explanation:
You should come up with an equation. I came up with 366 x 24 = x. 366 is the number of days with 24 being the number of hours.
366 x 24 = 8,784 hours
What is x (in degrees)
Answer: 4
Step-by-step explanation:
By the exterior angle theorem,
[tex]11x+32x=172\\\\43x=172\\\\x=\boxed{4}[/tex]
-1/3(x-15)=-4 what is the correct sequence of operations
Answer:
x = 3
Step-by-step explanation:
The steps I show will be listed from first-to-last.
-1/3x + 5 = -4 (Distribute)
-1/3x = -9 (Subtract 5 from both sides)
x = 3 (Multiply both sides by -3)
Find the distance between (8,-4,7) and (8,5,3)
Answer:
sqrt(97)
Step-by-step explanation:
Since the x for both of the points are the same, we can reduce the problem to "find the distance between (-4, 7) and (5, 3)".
To do that, we can use the Pythagorean theorem, where (change in x)^2+(change in y)^2 = (distance)^2:
(5-(-4))^2+(3-7)^2=d^2
(9)^2+(-4)^2=d^2
81+16=d^2
97=d^2
d=sqrt(97).
the point (-20, -13) is found in what quadrant?
Answer:
third
Step-by-step explanation:
Answer:
It would be located in Quadrant Number Three
Step-by-step explanation:
Quadrant 1: Positive Numbers on Y-Axis, Negative Numbers on X-Axis
Quadrant 2: Positive Numbers on both Y and X-axis
Quadrant 3: Negative Numbers on Both Y and X-axis
Quadrant 4: Negative Numbers on Y-Axis, Positive Numbers on X-Axis
(Hope this helped)
CAR TRAVEL One car travels about 28.5 miles on each gallon of gas. Suppose the average price of gas is $2 per gallon. About how much would the gas for a 978 mile trip cost? (p. 28)