Answer:
my previous account deleted...how r u sadie??
Mrs. Santiago's consumer science class is making two different-size cheesecakes for
a fundraiser.
The large cheesecake has a diameter of 12 inches
The small cheesecake has a diameter of 4 inches
Part A: If the pans are both 3 inches deep, how many times greater is the volume
Of the large pan than that of the small pan? Show your work
Part B: When shipped, the large cheesecakes will be packaged in a box with dimensions of 12 in x
12 in x 3 in. What percentage of the box does the large cheesecake take up?
Show all work for each part and give at least 2 sentences explaination for each part.
Answer:
Part A: 9 times
Part B: 79%
Step-by-step explanation:
Part A:
Volume of the large pan = πr²h
Where,
radius (r) = ½(diameter) = ½(12) = 6 in.
height (h) = 3 in.
Volume = π*6²*3
Volume of the large pan = 339.29 in.³
Volume of the small pan = πr²h
r = ½(4) = 2 in.
h = 3 in
Volume of small pan = π*2²*3
Volume of the small pan = 37.7 in.³
✔️To determine how many times the volume of the large pan is greater than the small pan, divide the volume of the larger by the smaller:
= 339.29/37.7 ≈ 9
✅The volume of the large pan is about 9 times greater than the volume of the smaller pan.
Part B:
✔️Find the volume of the box:
Volume of box = L*W*H
Where,
L = 12 in.
W = 12 in.
H = 3 in.
Volume of the box = 12*12*3 = 432 in.³
Divide the volume of the large pan over the volume of the box and multiply by 100%
Thus:
339.29/432 × 100
= 78.5393519 ≈ 79%
The large cheesecake takes up about 79%
Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?
Answer:
6000 dollar store for the day of a rectangle
Answer:
if its simple interest: $375 in interest, so he would have $1875 in total
if its compound interest: $420.13 in interest, so he would have $1920.13 in total
Step-by-step explanation:
I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.
but compound interest adds on to the total instead of the initial savings so its more complicated
In a group of 33 pupils, 9 play the flute only.
8 play the piano only.
11 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?
Answer:
ans: 5
Step-by-step explanation:
use the set theory to solve it,
Find the circumference of circle L. Write your answer as a decimal, rounded to the nearest hundredth.
1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°
Answer:
could you include a pic please?
Can someone please help me with this. ANYONE!
Answer:
Step-by-step explanation:
1 OF 3OR5
Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term
Multiplication.
Step-by-step explanation:Given functions:
f(x) = 2x - 1
g(x) = 2x + 4
Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term
i. Addition.
f(x) + g(x)
(2x - 1) + (2x + 4)
2x - 1 + 2x + 4
4x + 3
Here, the x term has a coefficient of 4
ii. Subtraction
f(x) - g(x)
(2x - 1) - (2x + 4)
2x - 1 - 2x - 4
-5
Here, the x term does not exist or has a coefficient of 0
iii. Multiplication.
f(x) * g(x)
(2x - 1) * (2x + 4)
4x² + 8x - 2x - 4
4x² + 6x - 4
Here, the x term has a coefficient of 6
iv. Division
Division is not exactly applicable here since there are not terms cancelling out.
Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
Math help please show all work thank you !
9514 1404 393
Answer:
W = 55°X = 125°Y = 110°Z = 70°Step-by-step explanation:
Corresponding angles in similar figures are congruent. Corresponding angles are listed in the same order in the similarity statement.
∠A = ∠W = 55°
∠B = ∠X = 125°
∠C = ∠Y = 110°
∠D = ∠Z = 70°
$70,000 - 17 1/2 % .
if i get this right i get the iphone xr
Answer:
$57750
Step-by-step explanation:
$70,000 - 17.5%
17.5 % = .175
.175 * $70000 = $12250
$70000 - $12250 = $57750
Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
Answer:
Rise (1-10)=-9
Run=(9-2)=7
Step-by-step explanation:
The slope is Rise/Run = -9/7
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
On a clear day you can see about 27 miles from the observation deck of the
Empire State Building in New York City. Using the formula below, estimate the
height in feet, h, of the observation deck. The distance, d, is in miles, and the
height, h, is in feet.
dava
A. 4.3 miles
B. 506 feet
C. 875 feet
D. 1050 feet
In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?
I will mark brainliest to the first correct answer
urgent pls
What is the mass of an object that has an acceleration of 55 m/s^{2} when a net force of 20 N is applied? (round to the nearest tenth)
The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work
Answer:
Area = 72 square feet
Step-by-step explanation:
[tex]4(3x+3y)[/tex]
Multiply the four to the values inside the parentheses to find the "equivalent expression"
[tex]12x +12y[/tex]
Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]
[tex]12(2) + 12(4)[/tex]
[tex]= 24 +48[/tex]
[tex]= 72[/tex]
Please help!
A circle is defined by the equation below:
x^2 + y^2 - x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
Step-by-step explanation:
We know that the equation of a circle is:
(
x
−
a
)
2
+
(
y
−
b
)
2
=
R
2
where a and b are the coordinates of the center, and R is the radius.
So in this question we have to complete the squares:
x² + y² - x - 2y - 11/4 = 0 ->
x² - x + 1/4 + y² - 2y = 11/4 +1/4 ->
(x - 1/2)² + y² - 2y + 1 = 12/4 + 1 ->
(x - 1/2)² + (y - 1)² = 4
Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2
x² + y² - x - 2y - 2³/₄ = 0
x² + y² - x - 2y = 2³/₄
x² - x + y² - 2y = 2³/₄
(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4
(x - 1)² + (y - 2)² = 7³/₄
The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).
write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent
Answer:
3/4, 0.75, 75%
Step-by-step explanation:
[tex]\frac{12}{16}[/tex]
divide top and bottom by 4
[tex]\frac{3}{4}[/tex]
The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.
Answer:
the answer is 4133.33...km
Explaination:
Distance = speed x time
Distance = 1240 x 10 / 3 = 4133.33... Km
According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.
Answer:
The correct answer is "14%".
Step-by-step explanation:
Given:
Jobs in 2018,
= 13.6 million
Jobs in 2028,
= 15.5 million
Now,
In healthcare occupation, the projected percent increase will be:
= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]
By putting the values, we get
= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]
= [tex](1.9)\times \frac{100}{13.6}[/tex]
= [tex]13.97[/tex] (%)
or,
= [tex]14[/tex]%
Answer:
its 14
Step-by-step explanation:
i got it right
Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?
Answer:
1.5 percent I 5hink 9ook
What's the equation? Week (w) 0 1 2 3 4 5 6 7 8 Infected (I) 1 2 4 8 16 32 64 128 256
Answer:
The Equation Is - Week(n) = [tex]2^{n}[/tex] (infected)
Step-by-step explanation:
Now We Have to just Put The Value Of 'n'.
Week(0) = 1
Week(1) = 2
Week(2) = 4
Week(3) = 8
Week(4) = 16
and so on.
A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?
A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches
Answer:
Step-by-step explanation:
16
How many glasses of lemon juice and water are need to make 15 glasses of lemonade
A.14 glasses of lemon juice 1 glass of water
B.10 glasses of lemon juice 5 glasses of water
C.6 glasses of lemon juice 9 glasses of water
D.3 glasses of lemon juice 12 glasses of water
Answer:
Option B:10 glasses of lemon juice and 5 glasses of water
Young people ages 15-24 are accountable for ____ of the total costs of motor vehicle injuries.
10%
20%
30%
40%
Answer:
30%
Step-by-step explanation:
Juan is 5 and his mom is 35. In how many years will Juan's mom be 3 times Juan's age?
Answer:
10 yrs
Step-by-step explanation:
Juan is 5 yrs now, mom is 35.
add 10 yrs to both the ages
juan is 15 and mom is 45
15 x 3=45
The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.
Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
At the beginning of the year, the local aquarium has 2,000 fish. Since then, the population has grown by 5% each month.
Which expressions represent the number of fish, in thousands, in the aquarium 3 years later if the population continues growing at this rate?
They are multiple choice
Answer: The third one
work out 37.56 divided by 12 and show working out
[tex]\longrightarrow{\green{3.13}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{37.56}{12} [/tex]
➺ [tex]\:3.13[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]
Answer:
3.13
Step-by-step explanation:
sorry that is All what I can say please don't be mad at me