I chose a box of cereal-------> rectangular prism
Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).
Length: 20 cm
Width: 8 cm
Height: 32 cm
Part 2).
Describe the shape of the cross-section when the box is cut parallel to the base
the shape of the cross-section would be a rectangle of dimensions
20 cm x 8 cm
Part 3)
What is the surface area of the box?
surface area=2*area of the base+perimeter of the base*height
area of the base=20*8=160 cm²
perimeter of the base=2*[20+8]-----> 56 cm
height=32 cm
surface area=2*160+56*32------> 2,112 cm²
the answer part 3) is
2,112 cm²
Part 4)
What is the surface area of the box if it is scaled up by a factor of 10?
we know that
surface area of the larger box=[scale factor]²*surface area original box
scale factor=10
surface area original box=2,112 cm²
so
surface area of the larger box=10²*2,112-----> 211,200 cm²
the answer part 4) is
211,200 cm²
Part 5)
What is the volume of the box?
volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³
the answer Part 5) is
5,120 cm³
Part 6)
What is the volume of the box if it is scaled down by a factor of 1/10
we know that
the volume of the smaller box=[scale factor]³*volume original box
scale factor=1/10
volume original box=5,120 cm³
so
volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³
the answer part 6) is
5.12 cm³
The length is⇒ 6 in., the width is⇒ 2 in., and the height is⇒ 16 in.
please mark brainliest!
Answer:
same thing as his but don't copy and paste it they will know
Step-by-step explanation:
Do you use the greatest common factor or the least common multiple to add to fractions? In this example what is it? 4/15+5/6
Answer:
The least common multiple, but you can use the greatest common factor, but at the end you have to simplify for it to be correct. 1 3/30
Step-by-step explanation: 4/15+5/6
Change 15 into a 30 by multiplying 2 to both sides.
Change 6 into a 30 by multiplying 5 to both sides.
so the new fractions are 8/30+25/30=33/30
The final fraction is 1 3/30.
What is the equation that represents Eric’s gift card balance, where x represents the time and y represents the balance?
Enter your answers in the boxes.
Answer:
\(y - 100 = \boxed{\:-\dfrac{25}{2} \:} \;\;\left(x -\boxed{\:4\:}\:\right)\)
Step-by-step explanation:
The first thing to observe is that the balance declines at a linear rate with respect to time in weeks
The given equation which you have to fill in is in the point-slope form of a straight line
The point slope equation of a straight line is
y - y1 = m(x - x1)
where (x1, y1) is a point on the line
m is the slope = (x2 - x1)/(y2 - y1) with (x1, y1) and (x2, y2) being two points on the line
To find the slope,
Let's take two points say 4, 100) and (8,50) where the first entry is the weeks and second is the current balance
Slope m = (50 - 100)/(8 - 4) = - 50/4 = -25/2
The negative value simply indicates that the balance is declining by 25/2 every two weeks
Having got the slope we can rewrite the equation as
y - y1 = -25/2(x - x1)
Again take (x1, y1) as (4, 100) to get
\(y - 100 = \boxed{-\dfrac{25}{2}} (x -\boxed{ 4})\)
And this is the answer
HELP ASAP!! What is the difference between composition and decomposition? Can you use them to find the area of a polygon?
Answer:
Composing numbers refers to joining groups or a set of numbers to make another number, while decomposing numbers means to break numbers down to their component parts. Yes, you can use composition and decomposition to find the area.
Step-by-step explanation:
Help: The stem-and-leaf plot displays the distances that a heavy ball was thrown in feet.
2 0, 2, 5
3 1, 3, 4
4 1, 1, 5
5 0, 6
6 7
Key: 3|1 means 3.1
What is the mean, and what does it tell you in terms of the problem?
A.3.1 feet; The value means the furthest the ball went.
B.3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
C.4.1 feet; The value means this measurement had the most occurrences.
D.4.65 feet; The value means that a typical throw of the ball results in 4.65 feet.
Answer: B) 3.875
Step-by-step explanation:
To start off, finding the mean is the AVERAGE. To find the average, you must add all of the values, and divide by however many values there are (in this case, there are 12) So first add all of the values:
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
2+2.2+2.5+3.1+3.3+3.4+4.1+4.1+4.5+5+5.6+6.7 = 46.5 (or 46.50)
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
next, you divide 46.5 by however many values there are (in this case, there are 12)
So, 46.5 / 12 is equal to 3.875
This tells us that the average distance of the throw is 3.875 feet
Therefore, the correct answer is B.3.875 feet; The value means that a typical throw of the ball results in 3.875 feet.
HOPE THIS HELPS YOU! HAVE A GOOD DAY!
Mary’s cookie jar opening has a circumference of 24 inches.
Which equation can be used to describe the relationship between pi (,
the circumference of the cookie jar, and the diameter of the cookie jar?
Answer:
D - 75.40 inches
Step-by-step explanation:
If it is its diameter, then we must do a little calculation, multiplying the diameter by Pi to reach 75.40 inches.
I need help on these 5 questions:
Step-by-step explanation:
(2x-3)² - (4x+1)(x − 4)
4x² - 12x + 9 - 4x² - 16x + x - 4
group like terms
4x² - 4x² - 12x+x+9-4
-11x + 5
Joel calculates that he spends 15% of a school day in science class. If he spends 75 minutes in science class, how many minutes does Joel spend in school?
Plsss I need it now!
(Rewriting Rational Numbers LC)
Compare negative three and five tenths repeating and negative ten thirds using symbols <, >, or =.
negative three and five tenths repeating is less than negative ten thirds
negative three and five tenths repeating is greater than negative ten thirds
negative ten thirds is equal to negative three and five tenths repeating
negative ten thirds is less than negative three and five tenths repeating
Answer:
the third answer
Step-by-step explanation:
My locker combination has three digits. None of the digits are zero. What is the probability that the first digit of my locker combination is less than 4?
A: 3/10
B: 1/3
C: 2/5
D: 4/9
Answer:
the answer would be 3
Step-by-step explanation:
Can we add or subtract when we do equivalent ratios?
YES
or
NO
Answer:
the answer is yes
Step-by-step explanation:
yes
Select the correct answer.
Option C is the correct answer
Yoooooo could u guys help me?
Answer:
1/3232-(1/32)-(1/32)Step-by-step explanation:
1.
\(2^-^1 \cdot 2^-^4\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\2^{-1}\cdot \:2^{-4}=2^{-1-4}\\\\=2^{-1-4}\\\\=2^{-5}\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}\\2^{-5}=\frac{1}{2^5}\\\\2^5=32\\\\=\frac{1}{32}\)
2.
\(\frac{2}{2^-^4} \\\\\mathrm{Cancel\:the\:common\:factor:}\:2^{-4}\\=2^5\\\\2^5=32\\\\=32\)
3.
\((-\frac{1}{2} )^3\cdot (-\frac{1}{2} )^2\\\\\mathrm{Apply\:exponent\:rule}:\quad \:a^b\cdot \:a^c=a^{b+c}\\\left(-\frac{1}{2}\right)^3\left(-\frac{1}{2}\right)^2=\left(-\frac{1}{2}\right)^{3+2}\\\\=\left(-\frac{1}{2}\right)^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(-a\right)^n=-a^n,\:\quad \mathrm{if\:}n\mathrm{\:is\:odd}\\\\\left(-\frac{1}{2}\right)^5=-\left(\frac{1}{2}\right)^5\\\\\mathrm{Apply\:exponent\:rule}:\quad \left(\frac{a}{b}\right)^c=\frac{a^c}{b^c}\\\)
\(\left(\frac{1}{2}\right)^5=\frac{1^5}{2^5}\\\\=-\frac{1^5}{2^5}\\\\=-\frac{1}{32}\)
4.
\(\frac{(-2)^-^5}{(-2)^-^1^0} \\\\\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0\\\left(\left(-2\right)^{-1}\right)^0=1\\\\=\frac{\left(-2\right)^{-5}}{1}\\\\\left(-2\right)^{-5}=-2^{-5}\\\\=\frac{-2^{-5}}{1}\\\\\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}\\\\=-\frac{2^{-5}}{1}\\\\\mathrm{Apply\:rule}\:\frac{a}{1}=a\\=-2^{-5}\\\\\mathrm{Simplify}\:2^{-5}:\quad \frac{1}{32}\\=-\frac{1}{32}\)
I need help, please quickly
Answer: The ratio is 18:3
Step-by-step explanation:
Answer: 6 to 1
Step-by-step explanation:
A ratio refers to a fraction. In this case the question asks how many players to coaches there are.
The word "to" means that is where the fraction bar goes.
Players/Coaches
There are 18 players and 3 coaches.
18/3
18 can be divided by 3, 6 times so the fraction can be simplified to
6/1 meaning there are 6 players for every coach.
acting Decimals
Andrea wanted to run at least 3 more kilometers on Sunday than she ran on Friday and Saturday combined. Did she reach her goal?
A 2-column table with 3 rows titled Total Distance Andrea Ran (kilometers). Column 1 has entries Friday, Saturday, Sunday. Column 2 has entries 3.174, 4.08, 11.9.
Friday and Saturday’s combined distance was
.
Did she reach her goal?
Answer:
yes
Step-by-step explanation:
Ther are 123 people signed up for a scenic tour. If each tour van holds 9 people, how many vans should be ordered to take everyone?
Answer:
13r6
Step-by-step explanation:
The circumference of a circular park is approximately 18 feet. What is the approximate area inside the circular park?
Answer:
25.685 square feet.
Step-by-step explanation:
Circumference = 2 * π * radius
From this, we can derive the formula for the radius:
radius = Circumference / (2 * π)
Let's substitute the value of the circumference and calculate the approximate radius:
radius = 18 / (2 * π)
radius ≈ 18 / (2 * 3.14159)
radius ≈ 2.865 feet
Now that we have the approximate radius, we can calculate the area:
Area ≈ π * radius²
Area ≈ 3.14159 * (2.865)²
Area ≈ 3.14159 * 8.193225
Area ≈ 25.685 square feet
Therefore, the approximate area inside the circular park is approximately 25.685 square feet.
PLEASE HURRY THIS IS DUE IN 10 MINUTES AND I AM REALLY CONFUSED!!
There are 104 beads on 13 bracelets. Which rate best represents the relationship between the number of beads and the number of bracelets?
A. 8 beads per bracelets
B. 13 beads per bracelets
C. 8 bracelets per bead
D. 13 bracelets per bead
I WILL GIVE BRAINLIEST WITH THE RIGHT ANSWER!!!
Answer:
A. 8 beads per bracelet.
A person earns 12% of their monthly salary at their part time job. If their full time job pays $3,696 monthly, how much money do they make after one month of working their full and part time job together?
Must include steps
the answer is $4,139.52 ... I think.
What is the area to this?
Answer:
The Area of the polygon is 36m².
Step-by-step explanation:
Area of the polygon= Area of rectangle + Area of triangle
Diagram
______________
l. l \
3m |. 3m l. \
|. l. /
|_____________ l /
11m. 2m
( 13m).
Area of rectangle= Length × Width
= 11m × 3m
= 33m²
Area of triangle= ½ × base × height
To find the height= 13m - 11m = 2m
= ½ × 3 × 2
= ½ × 6
= 3m²
Area of the polygon= 33m² + 3m² = 36m²
Fill in the blanks based off the graph. (I added pictures)
Thanks :) 20 pointss!!!
Answer:
1. $4
2. $2
3. $1
4. $30
Step-by-step explanation:
Answer:
1. $4
2. $2
3. $1
4. $30
Step-by-step explanation:
Which is the correct answer
Answer:
The mode is equal to the minimum
Is the correct answer
Step-by-step explanation:
In this case,
Mean = (52+48+48+54+50)/5
Mean = 50.4
The Median = 50,(the middle value)
Mode = 48 (the value that appears most often)
Now, the minimum value(smallest value) of the data set is 48
so,
The mode is equal to the minimum
Answer: the mode is equal to the minimum
Step-by-step explanation:
Select all ratios equivalent to 1:2 A. 10:20 B. 12:24 C. 8:16
Answer:
A, B, ad C
In order to find the ratio of something you must:
Add the parts of the ratio to find the total number of parts.
Find the value of each part of the ratio by dividing the number by the total number of parts calculated in step 1.
Multiply each part of the original ratio by the value of each part calculated in step 2.
giving brainiest ....
A tent rental company charges a mandatory $125 setup fee and a $90 hourly rental fee. Which of the following equations can be used to find c, the cost of renting a tent from this company for 9 hours?
A. c = (125 + 90)9
B. c = 125 + 90(9)
C. c = 125 - 90(9)
D. c = 125(9) + 90
B. c = 125 + 90(9) is the answer
Answer:
B
Step-by-step explanation:
Can anyone help out with this?
Answer:
Step-by-step explanation:
The property of taxes on a home varies directly with the value of the home. Jack currently lives in a home worth $172,000 and pays $13,760 on taxes.
Identify the constant.
Answer:
the constant is 172,000
Step-by-step explanation:
because the home's worth never changes, but the taxes change based on the year
Answer:
Jack pays 8% property tax
172,000. X .08 = $13,760
So
329,000. X .08 = $26,320
using the ordered pairs (x, y) in the table
what is the proportionality constant or the rate of change?
A jewelry store recently sold 52 pieces of jewelry, and 22 of them were bracelets. What is the experimental probability that the next piece of jewelry sold will be a bracelet? Write your answer as a fraction or whole number.
cassie is placing stickers on a page that is 12 inches long and 8 inches wide the sticker are 3 inches long and 2 inches wide
Answer:
To find the greatest number of stickers Cassie can place on a page that is 11 inches long and 8 inches wide without them overlapping, we need to use the same approach as before.
Firstly, we need to calculate the maximum number of stickers that can fit along the length of the page, which is now 11 inches. Since each sticker is 3 inches long, we can fit 3 stickers along the length (11 ÷ 3 = 3 with a remainder of 2).
Next, we can calculate the maximum number of stickers that can fit along the width of the page, which is still 8 inches. Since each sticker is 2 inches wide, we can fit 4 stickers along the width (8 ÷ 2 = 4).
To ensure that the stickers do not overlap, we can only use the full row of 3 stickers from the previous calculation. Therefore, we can place 3 stickers along the length and 4 stickers along the width, giving us a maximum of 12 stickers that Cassie can place on the page without them overlapping.
Step-by-step explanation:
Answer:
16
Step-by-step explanation:
First, find out how much stickers you can put on the long side:
12/3 = 4
Next, find out how much stickers you can put on the wide side:
8/2 = 4
Lastly, calculate them together:
4x4=16
So the answer is 16.
At a recent football game of 8,450 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Relish Chili
54 36 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
4,225
3,380
3,127
3,042
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Answer:
By proportion that is:(54/150) * 8450= 54 * 56 1/3= 3042
Step-by-step explanation: