Answer:
a) x= 29.4
b) 43400cm³ (3 s.f.)
Step-by-step explanation:
Please see the attached picture for the full solution.
Two cars travel at the same distance. The first car travel at 50 miles per hour and reaches its destination at t hours. The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car how long does it take for the first car to reach its destination
Answer:
The first car reaches its destination in 6 hours.
Step-by-step explanation:
Speed of the first car = 50 miles per hour
Time taken = t hours
Distance travelled = Speed × Time = 50 t
Speed of the second car = 60 miles per hour
Time taken = [tex](t-1)[/tex] hours
Distance travelled = Speed × Time = [tex]60(t-1)[/tex]
As two cars travel the same distance,
[tex]50t=60(t-1)\\50t=60t-60\\60=60t-50t\\60=10t\\t=\frac{60}{10}\\t=6[/tex]
So, the first car reaches its destination in 6 hours.
It would take the first car 6 hours to reach its destination.
Speed is the ratio of distance to time. It is given by:
Speed = distance /time
Since the two cars travel at the same distance, let d represent this distance.
The first car travel at 50 miles per hour and reaches its destination at t hours. Hence:
50 = d / t
d = 50t (1)
The second car travels at a rate of 60 miles per hour and reaches its destination 1 hour earlier than the first car. Hence the time = t - 1. Hence:
60 = d / (t - 1)
d = 60(t - 1)
d = 60t - 60 (2)
Equating both equations gives:
50t = 60t - 60
10t = 60
t = 6 hours
Hence it would take the first car 6 hours to reach its destination
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8. The total weight of a vase and its packaging is: 4 lb. 7 oz. The vase by itself
weighs 3 lb. 11 oz. What is the weight of the packaging materials?
(a) 8 lb. 2 oz.
(d). 6 oz.
(b) 12 oz.
(e) none of these
(c) 1 lb. 4 oz.
Please show the work
Answer:
E
Step-by-step explanation:
the weight of the packaging materials is 12 oz. There are 16 oz in a pound. If the vase weighs 3 lb 11 oz, it would take 5 more oz to reach the next pound, and there was another 7 oz after that. You would then do 5 + 7, which is 12, so the packaging materials weigh 12 oz.
Jada has time on the weekends to earn some extra money. A local bookstore is looking for someone to help sort books and will pay $15.00 an hour. To get to and from the bookstore, however, Jada would have to spend $5.50 on subway fare.
Answer:
Step-by-step explanation:
I assume you want her profit which is $9.50
15.00-5.50
What compound inequality describes this graph
Answer:
0≥x<4
Step-by-step explanation:
first, let's look at this number line.
there is a closed circle at 0 and an open circle at 4. this means that 0 is included (≤ or ≥) and that 4 is not included (< or >).
these are the endpoints, meaning that in this compound inequality, the numbers next to the symbols are 0 and 4.
x is in the middle of this compound inequality.
0 x 4
now, we have to figure out the symbols in between. i wrote out our choices above for each number. the highlighted portion is greater than or equal to 0 and less than 4, so we can write this compound inequality as the following:
0≥x<4
x is greater than or equal to 0, but less than 4
The dot plots represent the number of students who enrolled each year for the AP psychology course at two schools. The data represents the last 24 years. Which statement is true based on the mean number of students enrolled in the course?
D
The mean for school 1 is 466/24=19.42 (rounded)
The mean for school 2 is 537/24=22.375
It doesn't ask for the mean absolute deviation, otherwise it would be the reverse of d (which is c).
HOPE IT HELPS (◕‿◕✿) SMILE!!
Answer:
the correct answer is D
Step-by-step explanation:
Place solve ? I am truly confused
(2x + 3) (2 - 8) = 0,
Step-by-step explanation:
(2x + 3) (2-8)=0
2x( 2-8)+3(2-8)= 0
4x - 16x + 6 - 24 = 0
-12x - 18= 0
-12x= 18
x= -18/12
x = - 3/2
2. Evaluate the expression for q = 2 6
Answer:
12
Step-by-step explanation:
This may not be intirely correct because you said q = 2 6. I think that means 2 times 6.
Anyways
2 x 6 = 12
⇒ q = 12
find the greatest common factor of the terms: 35a⁴b⁸, 49a²b⁵, 14ab⁴?
Answer:
7ab^4
Step-by-step explanation:
all of the coefficients have 7 as a GCF. for a and b you can only pull out as much as the lowest term.
that should be correct and hope this helps!
3(x + 4) – 4= 2(x + 4) + x
Answer:
No solution
Step-by-step explanation:
3x+12-4=2x+8+x
3x+8=2x+8+x
3x+8=3x+8
sub tract 3x on both sides and poof
we get 8 =8
High Hopes^^
Barry-
Drag the tiles to the correct boxes to complete the pairs. Item Original Price Discount Shirt $15 20% Pair of Pants $28 15% Pair of Shoes $35 40% Tie $12 15% Match the items with their prices after the discount. 3 ties 2 shirts 1 pair of shoes 1 pair of pants $24.00 arrowRight $21.00 arrowRight $30.60 arrowRight $23.80 arrowRight
Answer:
Shirts : $24
Pants : $23.80
Shoes : $21
Ties : $30.60
Step-by-step explanation:
For the shirt : Price = $15 Discount = 20% 2 shirts are bought
Price after the discount = (100% - 20%) x (2 x $15) = $24
For the pair of pants : Price = $28 ; Discount = 15% ; 1 pair of pants is bought
Price after the discount = (100% - 15%) x $28 = $23.80
For the shoes : Price = $35 Discount = 40% 1 pair of shoes are bought
Price after the discount = (100% - 40%) x $35 = $21
For the tie: Price = $12 Discount = 15% 3 ties are bought
Price after the discount = (100% - 15%) x ( 3 x $12) = $30.60
Answer:
Shirts : $24
Pants : $23.80
Shoes : $21
Ties : $30.60
Step-by-step explanation:
For the shirt : Price = $15 Discount = 20% 2 shirts are bought
Price after the discount = (100% - 20%) x (2 x $15) = $24
For the pair of pants : Price = $28 ; Discount = 15% ; 1 pair of pants is bought
Price after the discount = (100% - 15%) x $28 = $23.80
For the shoes : Price = $35 Discount = 40% 1 pair of shoes are bought
Price after the discount = (100% - 40%) x $35 = $21
For the tie: Price = $12 Discount = 15% 3 ties are bought
Price after the discount = (100% - 15%) x ( 3 x $12) = $30.60
Conchita starts a savings account. She deposits $100 from her parents. After that, she
deposits $10 each month. Write an algebraic expression to give the amount of money she
has saved after m months.
Answer:
$100 + $10m
Step-by-step explanation:
A = Account Balance = 100
After M months
A = $100 + $10m
while remodeling his kitchen, Arthur paints the cabinets. he estimates that he paints 30 square feet every 20 minutes. how many square feet does arthur paint per hour
Answer:
90 square feet per hour
Help please! I just don’t understand
===================================================
Work Shown:
(angle HID) + (angle DIJ) = angle HIJ
(100) + (8x+11) = 21x+7
100+8x+11 = 21x+7
8x+111 = 21x+7
111-7 = 21x-8x
104 = 13x
13x = 104
x = 104/13
x = 8
Use this x value to find angle HIJ
angle HIJ = 21x+7
angle HIJ = 21*8+7
angle HIJ = 175 degrees
---------------------------
Extra info:
You can also use that x value to find angle DIJ
angle DIJ = 8x+11
angle DIJ = 8*8+11
angle DIJ = 75
Then add this to angle HID to get
angle HID + angle DIJ = 100+75 = 175
This matches with angle HIJ = 175
So this confirms angle HID + angle DIJ = angle HIJ which helps confirm our answers.
Geometry
Please help me with my homework! Thank you!
Answer:
DH, CG, BF
Explanation:
Since the question is asking which lines are parallel to AE and AE is a vertical line, you need to look at the other vertical lines that are making up the sides of the box. These vertical lines are 1. DH 2. CG 3.BF.
Hope this helps.
how to do this step by step
Step-by-step explanation:
Make the 2nd fraction the inversre of itself i.e
[tex] \frac{22}{3} [/tex]
and do the multiplication of
[tex] \frac{12}{11} \times \frac{22}{3} [/tex]
you should get 4Help me please, thx
How many times smaller is 4 × 10-7 than 8 × 10-3?
answer my question asap
please! I will be forever greatful
have a great day
i love brainly
Answer:
2. I think. Sorry if its wrong. Have a beautiful day! :)
Step-by-step explanation:
Solve for [tex]$\abs{5p+2}\ \textless \ -4$ .[/tex]
Hint: There should be two answers, please list both of them.
Write the decimal 5.666… as a mixed number in simplest form.
Answer:
5 2/3
Step-by-step explanation:
The decimal of .6 repeating is a common fraction that represents 2/3.
To write that in a mixed number is to put the whole number out front and the fraction afterward.
Answer:
The answer is 5 2/3
The panda at those who became ill and lost 4 pounds every week for five weeks in the 6th week she began to feel better and gained 3 lb
PEMDAS PLEASE HELPPPP!
Answer:
90xyz ÷xy
input the unknowns
x = 3, y = 5, z = 2
90*3*5*2 ÷ 3*5
2700 ÷ 15 = 180
Just to clarify, PEMDAS, is just an abreviation for:
P - Parentheses
E - Exponents
M - Multiply
D - Divide
A - Add
S - Subtract
These are called order of operations following which part of you're equation you solve first. Hope this helped :)
Alyssa's company makes a profit of $175,000.
The company then experiences a loss of
$25,000 each month for the next five months.
Which expression represents the net profit
after five months?
How can get better at geogrwphy
Answer:
study DUHHHH
Step-by-step explanation:
Write 0.18 as a fraction in simplest form.
Answer: The answer is 9/50
Step-by-step explanation:
18 is in the hundredths place so it would be 18/100 but then you simplify that and get 9/50
r/10+4=5 answer plzz
Answer:
r = 10
Step-by-step explanation:
Solve for r by simplifying both sides of the equation, then isolating the variable.
Solve the inequality: -6n - 12 >= 3(-n + 12)
Answer:
-16 > n or n < -16
Step-by-step explanation:
First, we can write the inequality and distribute.
-6n-12 > 3(-n+12)
-6n-12 > -3n+36
Get rid of a variable first (it makes solving a lot easier). We can add 6n to both sides.
-6n-12 > -3n+36
+6n +6n
-12 > 3n+36
Now, we can subtract 36 on both sides.
-12 > 3n+36
-36 -36
-48 > 3n
Divide by 3 on both sides.
-48 > 3n
/3 /3
-16 > n or (if it's easier) n < -16
Hope this helps!! Have a wonderful day C:
Which ordered pairs are solutions to the inequality 4x+y>-6
Answer:
(-1.5, 0) and (0, -6)
Step-by-step explanation:
Answer:
-1, -1
Step-by-step explanation:
hope this helped
(Trig)A Ferris wheel with a diameter of 90 meters rotates at a rate of 3 minutes per revolution. Riders board the Ferris wheel 3 meters above the ground at the bottom of the wheel. A couple boards the Ferris wheel and the ride starts.
Write a formula for the height of the couple t seconds after the ride begins.
How many seconds after the ride starts will the couple be 70 meters above the ground for the second time?
Answer:
Step-by-step explanation:
Answer:
65x-489
Step-by-step explanation: