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:
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Which situatioWhich situation does NOT describe a final value of 0?
A A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then dropped another 105 feet.
B The temperature at 9 a.m. was –9° F. During the next 3 hours it rose 8 degrees and then rose an additional 2 degrees.
C After the first round in a game Jack’s score was –11. He then scored 5 points in the next round and an additional 6 points in the third round.
D Keisha’s bank account had $450 at the beginning of the week.
She deposited $200 on Monday, withdrew $500 on Tuesday and withdrew an additional $150 on Wednesday.
Answer:
A . A balloon rose to a height of 605 feet above the ground. It then dropped 500 feet and then dropped another 105 feet.
If △RST is translated left 2 and down 1 then reflected over the x-axis, what are the coordinates of the new triangle?
Answer:
t(-3,-2) s(2,-1) r(-1,-5)
y=9
1a + 6 = 24
1. - 19
Answer:
56979=90
Step-by-step explanation:
(Hurry pleasee) Mrs Jacobs has 24 fifth grade students in her class one third of them are boys. The rest are girls how many students in the class are girls
Answer:
16
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
one third of 24 is eight, 8x2=16
A movie theater sells popcorn and fountain drinks. Brett buys 1 popcorn bucket and 3 fountain drinks for his family, and pays $9.50. Sarah buys 3 popcorn buckets and 4 fountain drinks for her family, and pays a total of $19.75. If p represents the number of popcorn buckets and d represents the number of drinks.
Answer:
Step-by-step explanation:
p + 3d = 9.50
3p + 4d = 19.75
-3p - 9d = -28.50
3p + 4d = 19.75
-5d = -8.25
d= $1.65 drinks
p + 3(1.65) = 9.50
p + 4.95 = 9.50
p = $4.55 popcorn
8. Look at triangle MNQ. What is the value
of x, to the nearest tenth?
PLEASE I need help what is the relationship between the pre image and the image in any rigid motion
Answer:
they are congruent
Step-by-step explanation:
Jamar used his Chase credit card to purchase groceries for $25.87, gas for $ 42.25, and a video game for $52.24 this month. How much should his payment to his credit card company be in order for him to avoid interest charges on these purchases?
Answer:
$120.36
Step-by-step explanation:
The computation of the amount that should be pay to his credit card is as follows;
= Purchase of groceries + gas charges + video game
= $25.87 + $42.25 + $52.24
= $120.36
He has to pay the above amount to his credit card company to avoid the interest charges on these purchases
please help! :) i am quite confused. please, if you know how, explain how you got your awnser. thanks!
Answer:
A
Step-by-step explanation:
The x is the varible connected to the changing number. -2 is getting added to 43 every hour as displayed with -2x+43.
two years ago a man was six times as old as his daughter. In 18 years he will be twice as old as her, determine their present ages
Step-by-step explanation:
Let m = man's age right now
d = daughter's age right now
m-2 = 6(d-2) => m = 6d -12 +2 = 6d-10
m+18 = 2(d+18) => m = 2d+36-18 = 2d+18
6d-10 = 2d+18
4d = 28
d = 7
m = 32
A car drives 120 miles in 3 hours.
Calculate the average speed, in mph, of the car.
Answer:
40 mph per hour
Step-by-step explanation:
120/3=40
That is not possible for either of those to be right.
Someone help me pls?
Answer:
The area of the triangle is 30 sqaure inches.
Answer:
I believe the area would be 30 inches. All you do is 12 times 5 which is 60 and then you divide 60 by two because it's a triangle, and you get 30. hope this helped.
riley can dribble a basketball 50 times in 1/2 minute with her right hand and 30 times in 1/2 minute with her left hand. what is the ratio of her right hand to her left hand dribbling rate?
Answer:
5:3.
Step-by-step explanation:
Riley can dribble a basketball 50 times in 1/2 minute with her right hand and 30 times in 1/2 minute with her left hand.
Rate of her right hand is : [tex]\dfrac{50}{(1/2)}=100\ \text{per minute}[/tex]
Rate of her left hand is : [tex]\dfrac{30}{(1/2)}=60\ \text{per minute}[/tex]
Ratio of her right hand to her left hand dribbling rate : [tex]\dfrac{100}{60}=\dfrac{5}{3}[/tex]
So, the required ratio is 5:3.
HHHHHEEEEELLLLLPPPPP PLEASEEE!!!!
Answer:
15 times per seconds
Step-by-step explanation:
basta 15 times per seconds
[tex] \frac{42}{ \sqrt{28} } + \frac{60}{45} - 2 \sqrt{20} + 2\sqrt{175} [/tex]
Answer:
4/3−4√5+13√7
Step-by-step explanation:
So for whatever reason we don't like it when the radical is in the denominator so we're going to do a process called rationalization and get rid of it. We do this by multiplying both the numerator and denominator by the radical
So for the first part we multiply the numerator and denominator by [tex]\sqrt{28}[/tex] which gives us [tex]\frac{42\sqrt{28} }{28}[/tex] we can then factor the 28 into sqrt(7,2,2) which simplifies to [tex]42*2\sqrt{7}[/tex]/28 So then we can simplify this and get [tex]3\sqrt{7}[/tex] We then can simplify the rest of these radicals and get [tex]2\sqrt{20}=2\sqrt{2*2*5}=4\sqrt{5}[/tex] and [tex]2\sqrt{175}= 2\sqrt{5*5*7}=2*5\sqrt{7}[/tex] This means that so far we have the following:[tex]3\sqrt{7}+ \frac{60}{45}-4\sqrt{5} +10\sqrt{7}[/tex] We can add the like terms and simplify the fraction and get 4/3−4√5+13√7
Sushil is 6 years older than Brian. Caroline is 5 years younger than Brian. If the total of their ages is 64, how old is the youngest of them
Answer:
16 years old
Step-by-step explanation:
Let's use the letters s, b, and c for Sushil, Brian, and Caroline's ages. Sushil is the oldest, followed by Brian, and then Caroline, the youngest. From the problem description, we can set up three equations:
s = b + 6 (Sushil is 6 years older than Brian)
c = b - 5 (Caroline is 5 years younger than Brian)
s + b + c = 64 (The total of their ages is 64)
Since s and c are already in terms of b, we can substitute them into the last equation and solve to find Brian's age:
(b + 6) + b + (b - 5) = 64
3b + 1 = 64
3b = 63
b = 21
Now that we know Brian's age, we can simply subtract 5 to find Caroline's:
c = b - 5 = 21 - 5 = 16 years old.
A department store buys 400shirts at a cost of $7,200 and sells them at a selling price of $20 each. Find the percent markup.
Answer:
1140 I think
Step-by-step explanation:
what is an equation of the line through (0,-3) with slope 2/5?
Answer:
y=2/5x-3
Step-by-step explanation:
hope this helps
Solve the following equaition: (n/3) - 7 = -17
Answer:
[tex]n=-30[/tex]
Step-by-step explanation:
Aida bought a costume box containing 50 costumes for $300. She sold all of the costumes and made a $250 profit. She sold all of the costumes for the same price. Use the equation 50c−300=250, where c is the selling price of each costume. What was the selling price of one costume in dollars?
HURRYY WILL GIVE BRAINLIEST TO THE FIRST PERSON THAT ANSWERS !!!!!
Answer:
300 + 250 = 550
550/50 = 11
$11 per costume
The selling price of each costume will be equal to $11 per costume.
What is an equation?Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.
As per the given information in the question,
Total number of costumes = 50
Total profit made by Aida = $250
300 + 250 = 550
550/50 = $11
$11 per costume.
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prove. show work and reasons ans also show if they are ASA, SSS, AAS, SAS
Answer:
sas
bc there is a side, right angle, side
Step-by-step explanation:
I need help graphing -8x-y=8
Answer:
y = -8x - 8
Step-by-step explanation:
Add -8x on both sides to get -y = 8x + 8 and flip the y sign on the left to get your slope function which is y = - 8x - 8.
To graph the function, you would need to put (0, -8) as your y-intercept, and each unit will go down 8 units when you add 1.
Answer:
y=8x+8
Step-by-step explanation:
Just rewrite the problem so it's in y=mx+b format then it's easy to graph
Remember the y intercept is 8 because when x=0 y=8 and the slope is 8 so go up 8 and right 1
Find the equation of the line.
Use exact numbers.
y =
Ms. Cole bought lunch from Papa John's for her class. The total bill was $55.00. If she left a 20% tip, how much tip did she leave?
Answer:
the answer is 11
Step-by-step explanation:
Answer:
11
Step-by-step explanation:
HELP ASAP TELL ME IF THIS IS CORRECT OR NOT
Answer:
yes, no, yes, no
Step-by-step explanation:
the first two are correct, try an example for 2 and 3
b = a - 5 yes
if a = 5 and b = 0
5 - 5 = 0
a = b - 5 no
if a = 5 and b = 0
5 = 0 - 5 which is not true 5 doesnt equal -5
solve for x please help hfkshsj
Answer:
x= 17
Step-by-step explanation:
using Pythagoras' Theorem we have
[tex]8^2+15^2=x^2\\\\64+225=x^2\\\\289=x^2\\\\x^2=17^2\\\\x=17[/tex]
what place value is this in 8.7438 the under lined number is 7
Answer:
tenths place
Step-by-step explanation:
2. Was your plan in part B an example of direct variation (the plan depended only on the time spent talking) or a partial variation? (the plan depended on the time spent talking and an initial cost). 3. Which Plan best for you? Was this the same as your hypothesis? 4. Which plan had the highest rate of change? Which plan has the lowest slope? 5. Using your graph, which plan would be best if you talked for 200 minutes? 6. When is the Rogers My5 plan better than the Telus prepaid plan? 7. Which plans are an example of direct variation? 8. Come up with at least 3 other things that need to be considered when choosing your cell phone plan (aside from cost per minute talking), and explain why these are important to you.
9514 1404 393
Answer:
2. not direct variation; is "partial variation"
3. Public Mobile
4. highest: Telus (prepaid); lowest: Public Mobile
5. Public Mobile
6. > 200 minutes
7. Plans 1, 2, 3 (with b=0) are direct variation
Step-by-step explanation:
Reference https://brainly.com/question/20889835 for more information
__
2. The "Part B" plan chosen has a y-intercept (b) of 24, so is not direct variation. Here, that qualifies it as "partial variation."
__
3. The lowest rate by far for 600 minutes is offered by Public Mobile (plan 6). That is the same as our hypothesis.
__
4. The highest rate of change (m) is that for Plan 3, Telus (prepaid). Its cost of $0.35 per minute is higher than that for any other plan.
The plan with the lowest slope (m) is Plan 6, Public Mobile, which has zero slope.
__
5. A graph of all the plans is shown in the attachment. For any time over 140 minutes, Plan 6, Public Mobile, is the lowest cost.
__
6. On the graph, the purple line (Rodgers MY5) plan becomes lower cost for more than 200 minutes. Below that time, the green line (Telus prepaid) is lower cost.
__
7. Plans 1, 2, 3 have no cost for zero minutes, so they are all examples of direct variation.
__
8. This is a personal question, so cannot be answered for you. Some of the things usually considered (in no particular order) are ...
on-line user ratings
coverage map
roaming charges
availability of automatic payments
personal experience with the carrier
choice (and cost and features) of compatible phones
data and/or text options (speed, cost, amount available)
What is the length of BD?
Answer:
[tex]10\sqrt{3}[/tex]
Step-by-step explanation:
Trigonometric Ratios
This problem will be solved by the use of a trigonometric ratio called sine because it relates the opposite side of a given angle with the hypotenuse of the triangle.
Selecting the angle of 60° in triangle ABD:
Sine Ratio
[tex]\displaystyle \sin 60^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]
[tex]\displaystyle \sin 60^\circ=\frac{BD}{20}[/tex]
Solving for BD:
[tex]\displaystyle BD=20\sin 60^\circ[/tex]
Since
[tex]\sin 60^\circ=\frac{\sqrt{3}}{2}[/tex]
[tex]\displaystyle BD=20\frac{\sqrt{3}}{2}[/tex]
Simplifying:
[tex]\boxed{\displaystyle BD=10\sqrt{3}}[/tex]
