The scale factor occurs when we extend a form and multiply each side by the same number, and the further discussion can be defined as follows:
Scale factor:Since the box is dilated by the scale factor of 4, hence the length, the width of the box will be dilated by 4 times the original length, which dilates the volume of the box by [tex]4^3= 64[/tex] times the original volume
Therefore
[tex]1.2 \ \ O_2[/tex] is dilated to [tex]64 \times 1.2 = 76.68\ \ o_2[/tex]
Since the initial quantity of cereal was 12 ounces and the final quantity of cereal was 18.75 ounces, Therefore, the volume of the box is dilated by a scale factor of [tex]\frac{18.75}{1.2}[/tex]
Hence,
Each side of the box has to be dilated by a scale factor of [tex](\frac{18.75}{1.2})^{\frac{1}{3}}= 2.5[/tex]
Find out more about the scale factor here:
brainly.com/question/22312172
PLZ ANYONE help me PLZHELP ME ITS DUE RIGHT NOW
Carpet costs $21.95 per square yard and the padding to put under it costs $2.55 per square yard. Felix plans to install padding and carpet in the region shown in the figure. What is the total cost of the carpet and padding needed to exactly cover the room?
Answer:
735
Step-by-step explanation:
$100 into a savings account that earns 6% annual intrest compounded monthly for 5 years
Answer:
$141.94
Step-by-step explanation:
Basically multiply 100 by .06, add the answer too 100. Which gets 106.
Multiply 106 by .06 and add the answer to 106, do that 5 times(which counts as the five years) and vuala, you got your answer.
And since it said an annual
interest, then the monthly compounding doesn't matter.
help me pleaseeeeeeeeeeeeee
i will give 20 points
Answer:2/7, 3/7, 6/7
Step-by-step explanation:
Answer:
2/7 , 3/7 , 6/7
Step-by-step explanation:
A new coat cost $180. The sales taxes is 8% how much is the sales taxes
Answer:
14.4
Step-by-step explanation:
Change 8% to a decimal which is 0.08 and then multiply 180 × 0.08 then you should get 14.4 Hope this Helps
Please help me with this question, I need to know what X equals
Answer: 11
Step-by-step explanation: m<2 is equal to 42. This also means that 3x+9 is equal to 42.
3x+9=42, solve for x. Subtract 9 from both sides. 3x=33, divide by three to get X isolated. X= 11
~.❤~Please Answer~❤.~
Answer:
a,b
Step-by-step explanation:
The radius of a circle is 3 millimeters. What is the circle's area? r=3 mm Use 3.14 for . square millimeters
i cant solve this please help
simplify by combining like terms
4z - 5/6 z
second time asking , pls help ! i’ll give points
Answer:
Don't have the ability to graph here but graph as follows:
X=1, Y=4
X=2, Y=8
X=3, Y=12
etc....etc....etc
The points will be proportional so your line will be straight.
Step-by-step explanation:
What does linear mean on a scatter plot
Answer:
Strong Linear (positive correlation) Relationship.
Step-by-step explanation:
4(k-6) -12= 6k
please hurry
Answer:
k= -18
Step-by-step explanation:
4(k-6) -12= 6k
4k-24-12=6k
-36=6k-4k
-36=2k
----- ----
2 2
k= -18
What are the questions asked on the FLVS (florida virtual school) module 4 DBA(discussion based assessment) for Pre Calculus Honors math?
Answer:
I have no question. ..............
Examine the picture below. What is your answer?
Provide an explanation for how you determined your answer.
Answer:
4 horses
Step-by-step explanation:
There are 2 elephants and 4 horses on one side. On the other, there are 12 horses. You can cancel 4 horses so now it's 2 elephants and 8 horses. To get the first side (2 elephants) to turn into one elephant, you need to divide by 2. So now, it is 1 elephant = 4 horses.
Answer:
4
Step-by-step explanation:
4 because you can write the problem as 2e+4h=12h then you subtract 4h from both sides and get 2e=8h then you divide by 2 to get e=4 so one elephant is as strong as 4 horses
h=horses
e=elephant
Plz answer quick!!
This is due today, and i have to get it done by 8:00!
Answer:
Step-by-step explanation:
5. 24
6. 14
7. 45
8. 15
9. 5
10. 5
11. 18
12. 12
13. 8
14. 84
Identify the initial amount a and the decay factor b in the exponitial exponential functional y=5x 0.5
Answer:
b
Step-by-step explanation:
the initial is b
What is the answer???
Answer:
it is a 90 degree angle
Step-by-step explanation:
because the little square in the corner
Plz help please
Is the relation shown in the arrow diagram a function?
Answer:
The answer is A
Step-by-step explanation:
In order for it to be a function every x value has to have a different y value or every input has to have a different output.
Find two numbers whose product is 12 and whose sum is 8.
Please help do these questions I GIVE BRAINLIEST!! 40 POINTS
Answer:
THe first one is A belongs in the 2nd quardrent then the B one goes in to the 3rd quardent the the last goes in the the 4th
The next on the switch the negetive and negetive number then put the last number as the first
Then the last one is the numbers 5 and 2
Step-by-step explanation:
Answer:
Sup dude I here this is my alyt acc
Step-by-step explanation:
If annie has 8 apples and eren has 927 ore apples then annie, how much apples does eren have?
Answer:
935 apples
Step-by-step explanation:
927 plus 8 equal 935
The answer is 935
because remove the 92 from 927 you have 8+7
so the equals 15 then add 1 to the 2 and then you have 3 then you have the remaining 5 where you leave in the ones place then you have 935
What does the attendance need to be on Saturday to have an average attendance for the week of 30 people per day ?
Answer: 180
Step-by-step explanation: 30 x 6= 180
A child lets go of a balloon that rises at a constant rate. 5 seconds after it was released, the balloon is at a height of 16 feet above the ground. After 20 seconds of rising, it is at a height of 52 feet above the ground. 1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising. 2. What was the height of the balloon initially before the child let it go? 3. Use your model to predict the height of the balloon after 90 seconds. Only an algebraic solution will receive credit.
Answer:
1. h = 2.4t + 4
2. 4 feet
3. 220 feet
Step-by-step explanation:
1. Write a linear model for the height, h, of the balloon as a function of the number of seconds, s that it has been raising.
Since the balloon rises at a constant rate, we find this rate by using the initial and final values of height and time at 5 seconds and 20 seconds respectively which are 12 feet and 52 feet respectively.
So, rate = gradient of line
= change in height/change in time
= (52 ft - 16 ft)/(20 s - 5 s)
= 36 ft/15 s
= 2.4 ft/s
Now the equation of the line which shows the height is gotten from
(h - h')/(t - t') = rate
Using h'= 16 feet and t' = 5 s, we have
(h - 16)/(t - 5) = 2.4
h - 16 = 2.4(t - 5)
h - 16 = 2.4t - 12
h = 2.4t - 12 + 16
h = 2.4t + 4
where h is the height of the balloon above the ground and t is the time spent in the air in seconds.
2. What was the height of the balloon initially before the child let it go?
We obtain the initial height of the balloon before the child let go at time, t = 0 the time before the child let go.
So, substituting t = 0 into the equation for h, we have
h = 2.4t + 4
h = 2.4(0) + 4
h = 0 + 4
h = 4 feet
So, the height of the balloon before the child let go is 4 feet above the ground.
3. Use your model to predict the height of the balloon after 90 seconds.
We insert t = 90 s into the equation for h. So,
h = 2.4t + 4
h = 2.4(90) + 4
h = 216 + 4
h = 220 feet
So, the height of the balloon after 90 s is 220 feet above the ground.
Ricky just received a shipment of 600 CDs for his music store each CD cost $20 which of the following could be used to find the total amount you will pay for the CDs
Answer:
y = 20x
Step-by-step explanation:
y is the total amount that ricky will pay for the CDs.
x is the number of CDs that ricky bought.
so, in this case, if you replace the x by 600 :
y=20 x 600, witch means that the value of y is :
y = 12000 dollars.
Determine the y-intercept of the following equation.
(x+5)(x - 1) = y
Answer: Should be -5
Step-by-step explanation:
7. If JKL ~ NMP, find the x
help me! also show work so i won’t ask again
Answer:
x = 3Step-by-step explanation:
Based on similar triangle;
14/49 = x+5/9x+1
Cross multiply
49(x+5) = 14(9x+1)
49x + 245 = 126x + 14
49x - 126x = 14 - 245
-77x = -231
x = -231/-77
x = 3
Hence the value of x is 3
Benny spent half of his allowance going to the movies. He washed the family car and
earned $8. Which equation best represents his weekly allowance if he ended the week
with $13. Let x represent his weekly allowance.
Answer:
$10
Step-by-step explanation:
13-8= 5
5 x 2= 10
:)
HELP PLEASE WILL GIVE I 100 POINTS And mark brainly
Answer:
-9/3 or -3
Step-by-step explanation:
[tex]Slope= \frac{y_{2} -y_{1} }{x_{2}- x_{1} }[/tex]
Lets start with the y's, substitute:
-6-3=-9
Then the x's, substitute:
5-2=3
Substitute back into the fraction:
-9/3 or
-3
Answer:
m = -3
Step-by-step explanation:
y2-y1
--------
x2-x1
-6-3/5-2
-9/3
-3
Therefore, your answer for slope would be m = -3
Kaitlin bought 27 pounds of rice for $11 .
How many dollars did she pay per pound of rice?
Answer:
$0.41 per pound
Step-by-step explanation:
$11/27 pounds=$0.407 per pound
Carrie borrowed $800 dollars from her aunt at 8% interest per year. If she paid her a total of $448 in simple interest, how many years did it take her to pay her aunt back?
Answer:
13 years
Step-by-step explanation:
First we will have to see how much she owns her aunt:
800-448= 362
8% of 348 = 27.84
362 ÷ 27.84 = 13 years
I might be wrong but hopefully this helps :)