Answer:
[tex]V=45396.2\ cm^3[/tex]
Step-by-step explanation:
Given that,
The dimensions of an aquarium are 61 cm long, 30.5 cm wide, and 30.5 cm high.
The tank is filled to 80% capacity with water.
We need to find the water needed for this tank.
The volume of cuboid is given by :
[tex]V=lbh[/tex]
As it is filled to 80% capacity, so,
[tex]V=\dfrac{80}{100}\times lbh\\\\=0.8\times 61\times 30.5\times 30.5\\\\V=45396.2\ cm^3[/tex]
So, [tex]45396.2\ cm^3[/tex] of water is needed for this tank.
i need to find the answer for this cause i'm doing work for math class
Answer:
See below
Step-by-step explanation:
Let's convert the two fractions.
The two categories are now closest to -0.6 and closest to 0.8.
Closest to -0.6 or -3/5: -0.2, -4/5,
Closest to 0.8 or 4/5: 0.6, 2/5
Kira brought chocolate and vanilla cupcakes to school for her birthday. 80 students decided to take a cupcake, and 32 of them picked vanilla. What percentage of the students picked a vanilla cupcake?
Answer:
40%
Step-by-step explanation:
Percentage of students that picked a vanilla cupcake = (students that picked a vanilla cupcake / total number of students)x 100
(32 / 80) x 100 = 40%
You purchased a new car. The car had a list price of $41,070. You are paying 5.09% interest compounded monthly over a payment period of FIVE years. If you also had to pay 5.86% sales tax, a $384 vehicle registration fee, and an $89 documentation fee, what is your monthly payment?
Answer:
The monthly payment is approximately $2,356.89
Step-by-step explanation:
The list price of the car, P = $41,070
The interest rate payed, r = 5.09% compounded monthly
Therefore, the number of interest calculated per period, n = 1
The payment period, t = 5 years
The amount payed as sales tax = 5.86%
The amount paid as registration fee = $384
The amount paid as documentation fee = $89
The total amount to be paid, A = 41,070 + 41,070 × 0.0586 + 384 + 89 = 43,949.702
Therefore, the monthly payment, 'M', is given by the following formula;
[tex]M = \dfrac{P \cdot \left(\dfrac{r}{n} \right) \cdot \left(1+\dfrac{r}{n} \right)^{n \cdot t} }{\left(1+\dfrac{r}{n } \right)^{n \cdot t} - 1}[/tex]
Therefore, we get;
[tex]M = \dfrac{43,949.702\times \left(\dfrac{0.0509}{1} \right) \cdot \left(1+\dfrac{0.0509}{1} \right)^{1 \times 60} }{\left(1+\dfrac{0.0509}{1 } \right)^{1 \times 60} - 1} \approx 2,356.89[/tex]
The monthly payment, M ≈ $2,356.89.
Zach is a member of the movie club.
How many movie tickets does Zach need to buy in order for the total cost of the tickets to be the same as the total cost for a nonmember?
A. 5
B. 7
C. 20
D. 40
Answer:
20
Step-by-step explanation:
A 16-inch diameter (8-inch radius) car tire is one of the most popular sizes for today's car Find the number of revolutions made by a tire with a radius of 8
inches that travels 5,280 feet (or 1 mile). Use 3.14 for Round your answer to the nearest tenth of a revolution.
Answer:
1261.1 revolutions
Step-by-step explanation:
Given
[tex]d = 16in[/tex] --- the diameter
[tex]Distance = 5280ft[/tex]
Required
The number of revolution completer
First, calculate the circumference (c) of the tire
[tex]c = \pi d[/tex]
[tex]c = 3.14 * 16[/tex]
[tex]c = 50.24[/tex]
Let the number of revolutions be n.
The product of n and the circumference equals to the total distance travelled.
So:
[tex]c * n = 5280 ft[/tex]
[tex]50.24in* n = 5280 ft[/tex]
Make n the subject
[tex]n = \frac{5280 ft}{50.24in}[/tex]
Convert feet to inch
[tex]n = \frac{5280 *12in}{50.24in}[/tex]
[tex]n = \frac{63360in}{50.24in}[/tex]
[tex]n = \frac{63360}{50.24}[/tex]
Solve for n
[tex]n = 1261.14649682[/tex]
Approximate
[tex]n = 1261.1[/tex]
Una recta con pendiente -2 ´pasa por el punto P(5, -1). La abscisa del punto Q que está en esa recta es 1. Encuentre la ordenada de Q.
Answer:
La ordenada de Q es 7.
Step-by-step explanation:
La ecuación de una recta es:
y = a*x + b
donde a es la pendiente y b es la ordenada al origen.
Para este problema, sabemos que la pendiente es -2
Entonces:
a = -2
y = -2*x + b
También sabemos que esta recta pasa por el punto (5, -1)
Esto significa que cuando evaluamos la ecuación en x = 5, y toma el valor y = -1
Si reemplazamos esos valores en la ecuación, obtenemos:
-1 = -2*5 + b
-1 = -10 + b
-1 + 10 = b
9 = b
Entonces la ecuación de la recta es:
y = -2*x + 9
Sabemos que el punto Q está en la línea, y la abscisa de este punto es 1.
Entonces este punto es Q (1, k)
donde k es la ordenada de este punto.
Porque nuestra línea también pasa por este punto, podemos concluir que cuando x = 1, y = k
Reemplazando eso en la ecuación tenemos:
k = -2*1 + 9 = -2 + 9 = 7
k = 7
La ordenada de Q es 7.
Directions: compute the answers to these problems. Write your answer on the line.
1. Sharmine works 30 hours at an exclusive restaurant. She earns $3.50 per hour plus tips. In one week she earned $1,250.00 in tips. What was Sharmine's total income?
2. Eldon helps people load their groceries into their cars at the grocery store. The grocery store pays him $5. 15 per hour. In one week he worked 38 hours and earned $425.00 in tips. What was his total income?
3. Cybil delivers food for an Asian carryout. She works 28 hours per week for $3.50 per hour. In a particular week she earned $240.00 in tips. What was her total income that week?
4. Arquette is a caddy at the country club. He has no hourly wage. His only income is from tips. In a given week he was tipped by 12 golfers: $20, $15, $25, $10, $15, 25,$10, $15, $22, $18, $15, $20, #20. What did he earn that week?
5.Lucinda is a baby sitter. Her hourly rate is $5.00. In one week she baby sat 13 hours and received tips of $14.50. How much did she earn?
6. Martin is a hair stylist. He averages a weekly wage of $240 and usually gets another $356 in tips. What is his average total income?
7. Ansel is a maid at the hotel. He receives tips from the guests at the ends of their stay. One week he earned $452.67 in tips and $5.23 per hour for 40 hours. What did he earn?
Please help me out, my hw is due tomorrow.
Answer:
Give me 5 minutes
Step-by-step explanation:
find the area and the circumference of the circle round your answers to the nearest hundredth
Answer:
Circumference= 50.27
Area= 201.06
hellllppppppppppppppppp
Answer:
Step-by-step explanation:
the third one
The price of a watch was increased by 20% to £162.
What was the price before the increase?
Answer: 135
Step-by-step explanation:
it increased by 20%
so the 162 is 120% of the first price
so if we multiply 162 by 100/120 we will get the first price
100/120=5/6 and 5/6*162 is 135
what does the picture represent?
Answer:
This is not a mathematics question. You should post this in History instead
Step-by-step explanation:
Answer:
During the civil war some tried to tear the country into 2, the north and the south. While the person on the middle is trying to keep the country together.
Could someone help i don’t get this please
Answer:
Hello! Answer: Area = 66
What i did was cut them into triangles and used formula for finding triangles
I did 3.3 x 4 = 13.2 then I divide 2 and get 6.6
Then I multiply by 10 cause thats how many triangles will make up the polygon and get 66
Hope this helps!
Rosa grew 6 plants with 2 seed packets. How many seed packets does Rosa need to have a total of 9 plants in her backyard? Assume the relationship is directly proportional.
Solve 4 cos2x-3 = 0
4 cos x-3= for all real values of x.
Evaluate |─8| + |2|.
Answer:
10
Step-by-step explanation:
|-8| = 8
Answer:
10
Step-by-step explanation:
The absolute value is never negative and is shown by the vertical line.
|-8|=8 and |2|=2.
8+2=10
help me thank you !! :)))
Answer:
4^2+3^2=x^2
16+9=x^2
25=x^2
X=5
So the answer is 5
The difference between two whole numbers is 99. The ratio of the two numbers is 2:5. What are the numbers?
Let the two whole numbers be 2x and 5x
The difference between 2x and 5x is 99. So,
5x-2x=99
3x=99
x=99/3
x=33
Therefore the two numbers are
5x=5*33=165
2x=2*33=66
Answer:
28:71
Step-by-step explanation:
99/7=14.14285714 (make sure to keep that in the calculator) that equals 1 part.
Therefore,
2×14.14...=28 (round up to nearest whole number)
5×14.14..=71 (round up to nearest whole number)
In ⊙Q, mJK=180° and mLM=116°. What is m∠1?
Answer:
32
Step-by-step explanation:
180+116= 296
360-296= 64
64/2= 32
The following dot plot shows the mass, in kilograms, of each of the 46 kittens adopted from an animal shelter last month. Each dot represents a different kitten
Which of the following is a typical mass of one kitten?
Choose 1 answer:
A) 1.8
B)2.2
C)3.8
D)4.6
Answer:
It's A) 1.8
Step-by-step explanation:
The typical mass or most common mass among all given options is 1.8 kg thus option (A) is correct.
What is a frequency table?A frequency table is a list of objects with the frequency of each item shown in the table.
The frequency of an occurrence or a value is the number of times it happens.
As per the given frequency plot.
The most common mass is at 1.8 kg and in between 1.4 and 1.8.
So, (1.4 + 1.8)/2 = 1.6 kg (not available in options)
Thus, 1.8 kg will be the typical mass.
Hence "The typical mass or most common mass among all given options is 1.8 kg".
To learn more about the frequency table,
brainly.com/question/12576014
#SPJ2
A number line shows 114, −224, and −134. Which statement is NOT true?
Answer:
1/1/4<−2/2/4, because 1/1/4 is located to the right of −2/2/4 on the number line.
Step-by-step explanation:
I need help asap
PLEASE HELP
Answer:
f(2) = -3
f(0) = -5
f(-1) = -6
f(1) = -4
f(8) = 3
f(5) = 0
Step-by-step explanation:
us the f value and substitute for x.
1) f(1)= 1 - 5 = -4
2) f(-1) = -1 -5 = -6
3) f(2) = 2 - 5 = -3
4) f(0) = 0 - 5 = -5
5) f(5) = 5 - 5 = 0
6) f(8) = 8 - 5 = 3
then match the f value with the correct answer
Can someone help me out please I don’t get this
......help due in a minute
Answer:
The answer is ''C''
Hope this helps!! Have a great day! <3
Answer: D ( I really don’t have a good explanation for this question.)
HELP! :))
If 35 liters of petrol cost $21.00, what is the price per liter?
Answer:
1.66$ per liter
Step-by-step explanation:
Hi there! I hope you're having a good day so far. :)
So this equation is quite simple. To write it out, you get:
35/21.00=?
All you need to do is get a calculator and put that in.
Then you will get 1.66666667, but to 'simplify' it, you just get 1.66 dollars per liter.
Therefore, the answer is 1.66$ per liter.
Helper's Message:
I hope this answer helped you! I wouldn't mind if you hit the 5-star rating or gave me a thank you. ☺️
-ChocoChocoCho
Round the greater number to the tens place. Then calculate the product.
64 x 3
O A. 72
B. 150
C. 180
D. 192
O E. 210
Answer:
d:192
Step-by-step explanation:
What is the distance from Cto D?
Pls help!!
I will award Brainly!!
expand the following (4/5d - 7e)2
Answer: [tex]\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]
Step-by-step explanation:
Given
The expression is
[tex](\dfrac{4d}{5}-7e)^2[/tex]
Use identity [tex](a-b)^2=a^2+b^2-2ab[/tex]
Apply identity
[tex]\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\left( \dfrac{4d}{5}\right)^2+(7e)^2-2\times \left( \dfrac{4d}{5}\right)(7e)\\\\\Rightarrow \left( \dfrac{4d}{5}-7e\right)^2=\dfrac{16d^2}{25}+49e^2-\dfrac{56de}{5}[/tex]
María Rodriquez Single-payment loan of $1,000 Interest rate of 7% Ordinary interest for 108 days What is the interest owed? What is the maturity value?
Answer:
$1,020.71
Step-by-step explanation:
Solving the equation:
A = 1000(1 + (0.07 × 0.29589)) = 1020.7123
A = $1,020.71
HELP!! Im Working on homework and not sure how to do this and its due tomorrow can anyone help me!! Btw it’s geometry
Answer:
the attachment is not viewable
find sin in the triangle
3/4
4/3
3/5
4/5
The Answer Is Sin(B)=4/5
[tex] \sin( \beta ) = \frac{opposite}{hypotenuse} [/tex]
Meaning, sin(B)=4/5
Answer:
4/5
Step-by-step explanation:
The angle you want to look at is the one given to you with the beta symbol. The trigonometric funtion sin mean opposite/hypotenuse. The side that is opposite is stright across from ∠β which would be 4. The hypothenuse is the largest side of the triangle or the "slanted side of the triangle." With that explanation, the hypotenuse is 5.