The constant of proportionality (known as "speed" in this case) is 12.5 miles per hour.
The equation is
d
=
12.5
×
t
Explanation:
To find the constant of proportionality, divide one value in each pair by the other. If this relationship is a true direct proportionality , when you repeat these for every pair, your will come up with the same value:
For example
25
miles
÷
2
hours
=
12.5
miles
hour
A direct proportionality will always result in an equation that resembles this:
y
=
k
x
where
y
and
x
are the related quantities and
k
is the constant of proportionality. If you draw a graph using the values you have, the graph will show a straight line the passes through the origin. The slope of this line will be the constant of proportionality. (And if the values given are real physical quantities, this constant will contain important information about the situation you are studying!)
Find the greatest common factor of 15w2 and 25w3.
Answer:
5w^2
Step-by-step explanation:
Answer:
5w^2
Step-by-step explanation:
The ratio of 6th-grade students to 8th-grade students in a school is 4 to 5. How many 6th grade students are there if a school has 360 8th grade students
Answer: 288
Step-by-step explanation: 360/5 is 72 so multiply the 6th graders times 72 and you get 288
Mayson wanted to play his video games. His mother told him that he needed to finish his homework, walk the dog, and clean his room before playing video games. . He completed his homework in 48 minutes. He took 25 minutes to walk the dog. He took 75 minutes to clean his room. . There are 60 minutes in 1 hour. How much time did Mayson have to spend doing homework and cleaning before playing video games?
Two brothers went shopping at a back-to-school sale where all shirts were the same price, and all the shorts too. The younger brother spent $230 on 8 new shirts and 10 pairs of shorts. The older brother purchased 8 new shirts and 4 pairs of shorts and paid a total of $116. How much did each item cost?
Answer:
Younger: 12.78 per item
Older: 9.67 per item
Step-by-step explanation:
Well, if all the shirts and shorts were the same price divide the total price and total amount of items they bought.
Younger Brother:
8 shirts + 10 shorts = 18 items for $230
$230 ÷ 18 items = about 12.78 per item (it comes out to a lot of number so I estimated it the nearest hundredth)
Older Brother:
8 shirts + 4 shorts = 12 items
$116 ÷ 12 items = about 9.67 per item (estimated again)
The Hu family goes out for lunch, and the price of the meal is $41. The sales tax on the meal is 7%, and the family also leaves a 20% tip on the pre-tax amount. What is the total cost of the meal?
Answer:
hey i hope u are having a wonderful day its gonna be ok
here is the answer:
Pickle cannot get the cart up the ramp. In order to be successful he should
make the ramp longer.
make the ramp shorter.
make the ramp steeper.
back up and begin with a running start.
Answer: Make the ramp longer
making the ramp shorter and making the ramp steeper would be the same, and backing up wouldn't really help
Pickle should make the ramp longer in order to be successful.
Option A is the correct answer.
What is a ramp?The ramp refers to a sloped surface that connects a lower level to a higher level.
We have,
- A longer ramp will provide a more gradual slope, which will make it easier for the cart to move up the ramp.
- If the ramp is too short,
The slope will be too steep and it will be difficult to push the cart up.
- Making the ramp steeper will also make it more difficult to push the cart up.
- Starting with a running start may provide some initial momentum, but it will not address the underlying problem of the ramp being too short.
Thus,
Pickle should make the ramp longer in order to be successful.
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Emily needs 21 feet of wire. Andy needs 15 feet of wire. How much will each of them spend for wire?
Answer:
$540.
Step-by-step explanation:
Aprrox some wire cost $15. And 21 x 15= 315. And 15 x 15= 225, so you add and you should have $540.
May someone please help me with these 4 questions? That is all i ask of you.
Answer:
Step-by-step explanation:
7: Area=77km^2
8: Not sure I think Area=77cm^2
9: Area=56m^2
10: Area=43.51km^2
Im not too sure of this problem but I hope this helps
cuanto es la tercera parte de 15,000
Answer:
5,000.
¡Espero que ayude!
Step-by-step explanation:
Erica buys 3.5 pounds of peanut butter. If each pound of peanut butter cost $6.40, how much will she pay for the peanut butter?
Answer:
Find the total cost
6.40 *3.5 = 22.4$
Answer:
$22.40
Step-by-step explanation:
1 pound = $6.40
3.5 lb. x $6.40 = $22.40
to check:
$22.40 total ÷ 3.5 pounds = $6.40 per pound
Small boxes contain DVDs, and large boxes contain one gaming machine. Three boxes of gaming machines and a box of DVDs weigh 48 pounds. Three boxes of gaming machines and five boxes of DVDs weigh 72 pounds. How much does each box weigh?
hello help please i’ll mark brainliest!!!
Answer:
The moon has moved past the full moon and is moving toward the third quarter.
Step-by-step explanation:
is this anywhere close to being right?
Answer:
yes
Step-by-step explanation:
Answer:
yes the answer is right it is 48.98
Please aswer this. Thank you!
Answer:
4 pairs of sock and a little bit of left over change.
Step-by-step explanation:
24.95 + 5.95x = 50
-24.95 -24.95
5.95x=25.05
/5.95 /5.95
x = 4.21
We drop the 0.21 because you cant have 0.21 pairs of socks and we get:
x=4
Answer:
About 4 pairs.
Step-by-step explanation:
50.00-24.95=25.05
5.95x5=29.75 (that is more the 25.05, so no.)
5.95x4=23.80 (Its a little bit less but not higher than the number we have left to spend.)
Could u mark brainliest, plz. Thx ☺️
4b. A cell phone plan costs $200 to start. Then there is a $50 charge each
month. What is the total cost for x months? *
answer:
the equation would be
200 + ( 50 * x ) = total cost
x is variable for the number of months
but lets use the number 2 ( 2 months ) for example
200 + ( 50 * 2 ) =
using pemdas we solve what is in the parentheses first
50 * 2
= 100
then just add the following numbers since they are the only ones left over in the problem
100 + 200
= 300
now we know that in 2 months and if you chose this cell phone plan, you will have to spend 300 dollars even!
hope this helps you and if you ever need anymore help or just not understanding this topic then please feel free to ask me! :)
and just in cause you dont know what pemdas stands for,
parentheses, exponents, multiplication/division ( always start from left to right ), addition/subtraction ( and again always start from left to right )
4.58 grams=________ Milligrams
Help ASAP!!!!!!!!!!
Simplify
1) x7/11
2)x1/24
3)x31/24
4)x5/12
Answer:
1 x=2 2 x=8 3 x=15 4 x=7.5
Step-by-step explanation:
mark brainliest
hello help please i’ll mark brainliest!!!
Answer:
365 Days
Step-by-step explanation:
The moon is at the same speed of the Earth
Answer:
It takes about one month for the Moon to orbit Earth (27.3 days to complete a revolution, but 29.5 days to change from New Moon to New Moon).
The area of the region between the lines y = x + 6, x = 1 and y = 0 is:
A 49 units?
B. 49/2 units squared
C.42 units squared
D. 21 units squared
E.cannot be determined
9514 1404 393
Answer:
B. 49/2 units squared
Step-by-step explanation:
The area is that of a triangle 7 units wide and 7 units high. Its area is given by the formula ...
A = 1/2bh
A = (1/2)(7 units)(7 units) = 49/2 units squared
Calculate the length of the side LN given the following data for 37°.
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
pls help ASAP
Answer:
It is given that,
Sin 37° = 0.602
Cos 37° = 0.790
Tan 37° = 0.754
To find:
The length of side LN.
Solution:
In a right angle triangle,
[tex]\sin\theta =\dfrac{Perpendicular}{Base}[/tex]
Using this in triangle LMN, we get
[tex]\sin (37^\circ) =\dfrac{LM}{LN}[/tex]
[tex]0.602=\dfrac{6}{LN}[/tex]
[tex]0.602LN=6[/tex]
Divide both sides by 0.602.
[tex]LN=\dfrac{6}{0.602}[/tex]
[tex]LN=9.966777[/tex]
[tex]LN\approx 9.97[/tex]
Therefore, the correct option is C.
Jack has to fill 50 water bottles for the football team. Each bottle holds 800 milliliters of water. How much water does jack need in all?
Answer: 4,500 milliliters of water
Step-by-step explanation
50(800)= 4,500 ml
Answer: The answer is 40000
Step-by-step explanation: If he needs to fill up 50 water bottles and each of the bottles have 800 milliliters then do 50*800, which is 40000. He needs 40000 milliliters.
Help I just want to know if this is cos, sin, or tan?
(This is geometry)
Answer:
it's cosine
Step-by-step explanation:
cos45° = x/17
What is the answer, What is mCD?
Answer:
In English, we would call these terms the “Greatest Common Denominator” and the “Least Common Multiple”. It looks like in Italian at least, MCM stands for “Minimo Comune Multiplo” (aka Least Common Multiple) and MCD stands for “Maximo Comune Divisor” (aka Greatest Common Denominator).
Step-by-step explanation:
I hope it works
Use the Distributive Property to simplify the expression.
1(8+x+4) = 0
Answer:
x + 12 = 0
Step-by-step explanation:
Answer:
x = -12
Step-by-step explanation:
1 x 8 = 8
1 x x = 1x
1 x 4 = 4
rewrite expression
8 + 1x + 4 = 0
combine like terms
8 + 4 = 12
1x + 12 = 0
subtract 12 from both sides
12 - 12 = 0
0 - 12 = -12
1x = -12
divide by 1 on both sides to get x by itself
1x/1 = x
-12/1 = -12
Hope This Helps!!
Please help me with this 4.7 x 10^-1
as an ordinary number
Answer:
The answer is 0.47
Msmsmsmaka
Answer:
0.47
Step-by-step explanation:
47/100
hope it helps thank you
please help I dont understand
Answer:
Step-by-step explanation:
Remark
All you need is 2 points that you can rely on as being accurate.
(2,0) should certainly be one of them. I would pick (-1,3) as the other but it is less certain.
Givens
y2 =3
y1 = 0
x2 = -1
x1 = - 2
Formula
m = (y2 - y1)/(x2 - x1)
Solution
m = (3 - 0) / (-1 - - 2)
m = (3 )/ (-1 + 2)
m = 3/1
m = 3
HELP ASAP PLEASE I WILL GIVE BRAINLIEST TO FIRST CORRECT ANSWER!
Find the values of x and y.
Answer:=5x+4y−78
not too sure of it
Step-by-step explanation:
Distribute:
=(3)(x)+(3)(−18)+2x+(4)(y)+(4)(−6)
=3x+−54+2x+4y+−24
Combine Like Terms:
=3x+−54+2x+4y+−24
Answer:
x = 6°
y = 2°
I hope it helps....
I will mark someone brainliest
The snack that smiles back ____
Answer:
goldfish
Step-by-step explanation:
PLEASE HELP I DON’T UNDERSTAND PLEASE SHOW WORK TOO TY!!!
Answer:
5
Step-by-step explanation:
Plug in each number into the equation to its corresponding variable
So 9+6/3
Add the top numbers 9+6=15
now you have 15/3
Simplify 15/3
5
An appliance is for sale at either (a) P15,999 cash or (b) on terms, P1,499 each month for the next 12 months. Money is 9% compounded monthly. Which is lower, the cash price or the present value of the installment terms? Explain.
Answer:
Cash price
Step-by-step explanation:
The computation is shown below:
The Interest rate per month (r) = (9% ÷ 12) = 0.75%
Now Present value of the monthly payment is
= PMT × {[(1 + rate of interest)^number of years - 1] ÷ rate of interest}
= 1,499 × {[(1 + 0.75%)^12 - 1] ÷ 0.75%}
= 18,748.89
And the cash price is 15,999
So, the cash price would be lower
The cash price would be lower. A further explanation is below.
According to the question,
Interest rate per month,
[tex]r = \frac{9 \ percent}{12}[/tex]
[tex]= 0.75[/tex] (%)
hence,
The Present value of the monthly payment will be:
= [tex]PMT\times \frac{{(1 + Interest \ rate)^{number \ of \ years} - 1}}{Interest \ rate}[/tex]
= [tex]1499\times \frac{[(1 + 0.75 \ percent)^{12} - 1] }{0.75 \ percent}[/tex]
= [tex]18748.89[/tex]
As we can see that the cash price is 15,999. Thus the above answer is right.
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