5. A car travels at a speed of 72 miles per hour. Write a direct variation equation for the distance, y, the car will travel in x hours. How far will the car travels in 4.5 hours?
Answer:
y = 72x
324miles
Step-by-step explanation:
Given parameters:
Speed of the car = 72miles/hr
distance = y
time = xhrs
Unknown:
Write a direct variation equation for the distance= ?
Distance covered in 4.5hrs =?
Solution:
A. Write a direct variation equation for the distance;
A direct variation is a linear equation.
It often takes the form y = kx
For this problem;
Distance = speed x time
input the parameters;
y = 72x
The direct variation equation is y = 72x
B. Distance traveled in 4.5hrs
y = 72x
x is the time taken;
So;
y = 72 x 4.5 = 324miles
The value of -4 - x is positive. What must be true about x ?
i need help with this asap
Answer:
x must be less than -4Step-by-step explanation:
We need to set the equation equal to 0
-4 - x > 0
+ -4 + -4
x < - 4hich statements are true? Check all that apply. Negative 2.5 = negative 2 and one-half –1.5 > –0.5 –0.5 < 0 –2.5 < –2 1 and one-half greater-than 1.5
Answer:
Negative 2.5= negative 2 and one-half, -0.5<0, -2.5 < -2.
Step-by-step explanation:
Put the words in numbers and symbols first and separate the sentence
Answer:
A C D
Step-by-step explanation:
Trust me on this I got it correct.
I NEED HELP PLEASE!!!!!!!
1) How long is it from 9:15 am to 4:48 pm? h
2) Find the value of 4n if n=7
3) Solve the equation 3y=21
4) Change the index notation of a⁴ to its factors
3. A sari is sold for $60 thereby making a profit of 20% on the cost
price. What was the cost price?
Answer:
The cost price was $48
Step-by-step explanation:
60-20%=48
hope it helps :)
Answer:
50
Step-by-step explanation:
60-x*100=20
6000-100x=20x
6000=20x+100x
6000= 120x
x= 6000/120
x= 50
Simplify the expression.
(4a- 80 - 4a2) + (7a3 - 7 - 6a)
Answer:
the answer should be 7a^3-4a^2-2a-87
Hopefully you can read it this time
The mass of a freight train is 9.98 ⋅ 10^6 kilograms. The mass of an aircraft carrier is 7.3 ⋅ 10^7 kilograms. Approximately how many more kilograms is the mass of an aircraft carrier than the mass of a freight train? Show your work and write your answer in scientific notation. (10 points)
9514 1404 393
Answer:
6.302×10^7 kg
Step-by-step explanation:
Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.
The carrier has more mass by the amount of ...
7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg
_____
Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.
Mason has already run 7 miles on his own, and he expects to run 1 mile during each track
practice. How many track practices would it take for Mason to run 26 miles?
Answer:
it would take him 19 track practices
Step-by-step explanation:
26miles - 7miles= 19miles
Jared earned $55 from cleaning pools. He deposits the $55 into his checking account.
Select each of the statements that would result in an overall change of $0 to his checking account if they are paired with the above
deposit.
Jared deposits $55 earned from babysitting
his brother into his checking account
Jared transfers $55 to his checking
account from his savings account.
Jared spends $55 from his checking account
to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Jared withdraws $55 from his savings account
Jared transfers $55 to his savings
account from his checking account
Reset
Submit
Answer:
Jared transfers $55 to his checking account from his savings account.
Jared spends $55 from his checking account to purchase a college Algebra textbook
Jared withdraws $55 from his checking account
Hope this helps!
Dorothy is buying chips at the grocery store. She needs to decide between Erik´s chips that are $3.84 for a 12 oz. bag and Al´s chips for $3.57 for a 8.5 oz. bag. Which chips are the better buy and by how much?
Answer:
Erik's chips are a better buy by 10 cents per ounce
Step-by-step explanation:
Erik's chips cost by ounce: $0.32
Al's chips cost by ounce: $0.42
Sorry if this didn't help. This is my first answer
What is 8 x 1 + 9 x (1/10) + 6 x (1/100) + 2 x (1/1000)?
Answer:
8962
Step-by-step explanation:
8×1+9...etc..etc
= 8962
Answer:
8.962
Step-by-step explanation:
Gcf of 16abc^2, 28abc
Answer:
4abc..............................
please someone help quick
Answer:
J
Step-by-step explanation:
dude trust me
6-(666+987889879878)
Answer:
−987889880538
Step-by-step explanation:
Answer:
-987889880538
Step-by-step explanation:
ez
The freshman spirit club took a trip to the state fair .There were 59 students and 6 chaperones, and the total admission cost for the group was 508$.Student tickets cost 2$ more than the chaperone tickets.Write an equation to represent the cost of a student ticket
Answer:
Step-by-step explanation:
First you determine the variables x and y as:
x: the value for student tickets
y: the value for chaperone tickets.
Knowing that student tickets cost $ 2 more than companion tickets, it is represented by the equation:
x= y +2
On the other hand, there were 59 students and 6 companions. And the total cost of admission for the group was $ 508, that is to say that what all the students and the companions have paid adds up to $ 508. Expressed by an equation:
59x + 6y = 508
Then the system of equations to solve and thus obtain the price of a student ticket and the price of a companion ticket is:
[tex]\left \{ {{x=y+2} \atop {59x+6y=508}} \right.[/tex]
Solving for x, the price of a student ticket:
Rearranging the first equation,
y = x - 2
Replacing in the second equation and solving for x:
59*x + 6*(x -2)=508
59*x + 6*x -12=508
65*x -12=508
65*x= 508 +12
65*x= 520
[tex]x=\frac{520}{65}[/tex]
x=8
The cost of a student ticket is 8$
A store pays $98 for a winter coat and marks the price up 10%.What is the price?
Answer:
107.8
Step-by-step explanation:
convert 10% into decimal
1.1
then calculate
98 × 1.1
107.8
Hope this helps!
Have a nice day!
If you find my answer helpful
Pls consider marking my answer as Brainliest! It would mean a lot!
Answer:
$107.80
Step-by-step explanation:
10% of $98 is $9.80.
9.80 + 98 = 107.80
Q is between P and R. S is between Q and R. R is between Q and T. PT=34, QR=8, and PQ=SQ=SR what is the length of RT.
Answer:
22
Step-by-step explanation:
Let us interpret this problem;
---------------34-------------------
P Q S R T
----- 8 --------
-------- --------- --------
x x x
Let PQ = SQ = SR
Find RT;
QS + SR = 8
Also;
x + x = 8
2x = 8
x = 4
To find RT;
RT = PT - (PQ + QR)
RT = 34 - (4 + 8) = 34 - 12 = 22
Answer:
22
Step-by-step explanation:
The choir and band at Thomas Junior high's sold cookie dough for their fundraiser The choir sold the cookie dough for $2 per bucket and decided to spend $4 on material to make posters for advertising.the band sold the cookie dough for $3 per bucket but did not advertise for many bucket of cookie dough, x, would both clubs have the same profit?
Answer:
no.
Step-by-step explanation:
To make lemonade, you need 6 lemons and 8 cups of water. How many lemons do you need if you had 24 cups of water?
Final Answer: 18 lemons
Explanation:
8 x 3 = 24
In order to find how many lemons you need, you need to multiply the amount of lemons by 3 as well.
6 x 3 = 18
Therefore, you need 18 lemons. :)
999÷128= plz help mee
Answer:
The answer is (7.8046875)
Step-by-step explanation:
Hope this helped
If 3 (x + 2) – 2(x + 1) = 8
what is the value of x
Answer:
x=4
Step-by-step explanation:
x+4=8
x+4-4=8-4
x=4
plz i need help -8 = p -5
4
rtbnjtfbu7yhjujkuf. ,i
Find the distance between the two points in simplest radical form.
(-1,0) and (5, -8)
Answer:
10
Step-by-step explanation:
Given coordinates:
(-1,0) and (5, -8)
Unknown:
Distance between the two endpoints = ?
Solution:
(-1,0) and (5, -8)
The equation for solving this problem is shown below;
Distance = [tex]\sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1} )^{2} }[/tex]
x₁ = -1 y₁ = 0
x₂ = 5 y₂ = -8
Distance = [tex]\sqrt{[(5-(-1)]^{2} + (-8 - 0)^{2} } }[/tex] = [tex]\sqrt{36 + 64}[/tex] = 10
The distance between the two points is 10.
I already know that the answer is 190 but why
Answer:
You know that the total number of persons is 20 , so every person shakes hands with 19 persons.. It then mean that, there are 20×19=380 handshakes. But by every handshake two persons are involved. Therefore, 380 is the result of double-counting, which gives 190 handshakes.Step-by-step explanation:
Hope this helpsWrite an equation in slope-intercept form that goes through the points (4, 4) and (1, 2).
Step-by-step explanation:
Hey there!
The given points are; (4,4) and (1,2) as (x1,y1) and (x2,y2).
Note: Use double point formula for the equation.
Now;
[tex](y - y1) = \frac{y2 - y1}{x2 - x1} (x - x1)[/tex]
Put all values.
[tex](y - 4) = \frac{2 - 4}{1 - 4} (x - 4)[/tex]
Simplify it.
[tex](y - 4) = \frac{ - 2}{ - 3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} (x - 4)[/tex]
[tex](y - 4) = \frac{2}{3} x - \frac{2}{3} \times 4[/tex]
[tex]y = \frac{2}{3}x - \frac{8}{3} + 4 [/tex]
[tex]y = \frac{2}{3} x - \frac{8 + 12}{3} [/tex]
[tex]y = \frac{2}{3} x + \frac{4}{3} [/tex]
Therefore, the equation is; y = 2/3x+4/3.
Hope it helps...
what is the missing angle?
Answer:
the missing angle is 73
700 decreased by 62% is?
Answer:
The answer I got was 266
Step-by-step explanation:
700 - 62% = 266
62% = 434
700 - 434 (62%) = 266
What is x on this right triangle? Round to the nearest tenth.
Answer:
x ≈ 38.7°
Step-by-step explanation:
Using the tangent ratio in the right triangle.
tanx = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{8}{10}[/tex] , thus
x = [tex]tan^{-1}[/tex] ([tex]\frac{8}{10}[/tex] ) ≈ 38.7° ( to the nearest tenth )
PLEASE HELP ASAP
Salina’s age is one-quarter the age of her aunt. If a represents her aunt’s age, which expression represents Salina’s age?
4a
a minus 4
a + 4
StartFraction a Over 4 EndFraction
Answer:
a over 4
Step-by-step explanation:
hope this helps you
Answer:
Last answer I think, it was hard to understand the explained choices but I think it's a/4.
help me plaseeeeeeeeee
Answer:
it would be b
Step-by-step explanation: