Answer:
22 1/2 cakes
Step-by-step explanation:
1 cake = 1 1/3 hours
Number of cakes in 30-hour week
= 30 ÷ 1 1/3
= 30 ÷ 4/3
= 30 x 3/4
= 90/4
= 45/2
= 22 1/2
Answer: 22 1/2 cakes
5. A standard-size volleyball court has an
area of 1,800 square feet. The length of the
court is 60 feet. What is the width of the
court?
Answer: The width of the court is 30 feet.
Step-by-step explanation:
We know that the area of a rectangle is given by :-
Area = length x width (1)
Given : A standard-size volleyball court has an area of 1,800 square feet.
The length of the court is 60 feet.
To find : The width of the court.
According to (1) , we have
[tex]1800 = 60\times \text{width}[/tex]
Then,
[tex]\text{Width}=\dfrac{1800}{60}=30[/tex]
Hence, the width of the court is 30 feet.
Final answer:
The width of a standard-size volleyball court, with an area of 1,800 square feet and a length of 60 feet, is calculated to be 30 feet using the formula for the area of a rectangle.
Explanation:
To find the width of a standard-size volleyball court with an area of 1,800 square feet and a length of 60 feet, we need to use the formula for the area of a rectangle, which is Area = length × width. Since we know the area and the length, we can solve for the width.
Let the width be w feet.
Then, 1,800 sq ft = 60 ft × w ft,
So, w = 1,800 sq ft / 60 ft,
Therefore, w = 30 feet.
The width of the volleyball court is 30 feet.
**A rock dropped from a 100 foot tower.
The height of the rock as a function of time
can be modeled by the equation: h(t) =
- 16t2 + 10t + 100. How long does it take
for the rock to reach the ground?
Final answer:
The rock takes approximately 2.032 seconds to reach the ground.
Explanation:
The height of the rock can be modeled by the equation h(t) = -16t² + 10t + 100, where h(t) is the height of the rock and t is the time in seconds. To find the time it takes for the rock to reach the ground, we need to solve the equation when h(t) is equal to zero. We can do this by setting the equation equal to zero and using the quadratic formula.
Using the quadratic formula, we get: [tex]t = (-b \± \sqrt(b^2 - 4ac))/(2a)[/tex]
Plugging in the values of a, b, and c from the equation, we get: [tex]t = (-10 \± \sqrt{10^2 - 4(-16)(100)/2(-16)[/tex]
Simplifying, we get: [tex]t = (-10 \± \sqrt{100 + 6400/(-32)[/tex]
Continuing to simplify, we get: [tex]t = (-10 \± \sqrt{6500/(-32)}[/tex]
So, it takes approximately 2.032 seconds for the rock to reach the ground.
What is the measure of a straight angle?
A less than 90°
Bgreater than 90°
C 90°
D 180°
Answer:
D 180°
Step-by-step explanation:
The measure of a straight angle is 180°.
Find the area.
8 ft
7 ft
14 ft
Answer:
784
Step-by-step explanation:
I’m pretty sure I did this right I just multiplied them
how to write 137% as a fraction and decimal
Answer: 1.37 and 137/100
Step-by-step explanation:
hope this help make me brainliest plest thanks
Final answer:
137% can be written as the fraction 137/100, which is already simplified. To convert 137% to a decimal, divide 137 by 100 to get the decimal 1.37.
Explanation:
To write 137% as a fraction, you should consider that percent means 'per hundred.' Therefore, 137% can be written as a fraction with a denominator of 100: 137/100, which is already in its simplest form.
To express 137% as a decimal, you divide the numerator by the denominator. In this case, you would divide 137 by 100. This gives you the decimal 1.37, which is the decimal equivalent of 137%.
Understanding these conversions is crucial when working with percentages, and they can often simplify calculations in various mathematical problems.
Solve the equation log (x + 20) = 3
Answer:
Step-by-step explanation:
[tex](x+20)=3\\ -20 -20\\x=-17[/tex]
Hope this helps please give brainliest!
Three persons EB and C work together on a job and finish it finish it in 18 days if E and be working together can finish the job in 45 days find how long C working alone would take to complete it
Answer: 30 days
Step-by-step explanation:
Working together, E & B get 1/45 of the job done per day
Working alone, C gets 1/x of the job done per day
Working together, E, B, & C get 1/18 of the job done per day.
[tex]EB:\dfrac{1}{45}\qquad C: \dfrac{1}{x}\qquad EBC:\dfrac{1}{18}\\\\\\\\EB+C=EBC\\\\ \dfrac{1}{45}\ +\dfrac{1}{x}=\dfrac{1}{18}\\\\\\(45\cdot 18\cdot x)\bigg(\dfrac{1}{45}+\dfrac{1}{x}=\dfrac{1}{18}\bigg)\\\\\\.\qquad \qquad 18x+810=45x\\\\.\qquad \qquad \qquad 810=27x\\\\.\qquad\qquad \qquad \large\boxed{30=x}[/tex]
please help me on this
Answer:
mean= 15.16
2/53
Step-by-step explanation:
addition of all the figures plus the next student divided by 6
solve for k
10/3= k/9
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}=\frac{k}{9}\\\\\frac{k}{9}=\frac{10}{3}\\\\k=\frac{10}{3}*9\\\\k=10*3=30[/tex]
Answer:
k = 30
Step-by-step explanation:
[tex]\frac{10}{3}[/tex] = [tex]\frac{k}{9}[/tex]
We can easily solve this by cross multiplying. Multiply 10 by 9, and multiply the variable (k) by 3.
10 x 9 = 90
3 x k = 3k
These two (90 and 3k) are equal to one another and thus can both be set up into an equation.
3k = 90
Solve for k.
3k/3 = 90/3
k = 30
Please answer ASAP! Due today, thank you in advance and remember to wash your hands with antibacterial soap for 1 minute.
Answer:
1/2x15(30+40)
Step-by-step explanation:
Just put this in your calculator
Find the surface area of a rectangular prism with base 4 m by 5 m and height 8 m.
Answer:
Step-by-step explanation:
surface area=area of sides +area of top and bottom
=2(4+5)×8+2×(4×5)
=2[(9×8)+20]
=2[72+20]
=2×92
=184 m²
The total surface area of the given rectangular prism is square meters.
How to calculate the surface area of a rectangular prism?The surface area of a rectangular prism can be calculated by adding the areas of all its faces.
Given that a rectangular prism with a base 4 m by 5 m and a height 8 m,
The surface area can be calculated as follows:
The surface area = area of sides + area of top and bottom
The surface area = 2(4+5)×8+2×(4×5)
The surface area = 2[(9×8)+20]
The surface area = 2[72+20]
The surface area = 2 × 92
The surface area = 184 m²
Therefore, the total surface area of the rectangular prism is 184 square meters.
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Kiran and 3 of his friends are going to split the lunch bill of $24.48 how much will each person pay
To split a $24.48 lunch bill between Kiran and 3 friends ,,divide the total by 4, resulting in each person paying $6.12.
Kiran and 3 of his friends want to split the lunch bill of $24.48 evenly. Since there are 4 people in total, we simply divide the total bill by 4 to find out how much each person will pay. Here's the step-by-step calculation:
Find the total number of people: 1 (Kiran) + 3 friends = 4 people.Divide the total bill by the number of people: $24.48 ÷ 4.Perform the division to find the amount per person: $24.48 ÷ 4 = $6.12.Therefore, each person will pay $6.12 to split the lunch bill of $24.48 equally.
The probability of NOT drawing a red marble out of a bag containing 3 blue, 2 green , 8 yellow , 4 red , and 3 orange marbles.
Answer:
[tex] \frac{4}{5} [/tex]
Step-by-step explanation:
Total number of marbles
= 3+2+8+4+3
= 20 marbles
P(not red)
=
[tex] \frac{3 + 2 + 8 + 3}{20} \\ = \frac{16}{20} \\ = \frac{4}{5} [/tex]
or P(not red)
=
[tex]1 - \frac{4}{20} \\ = 1 - \frac{1}{5} \\ = \frac{4}{5} [/tex]
What is square root of 42 to the nearest tenth
Answer: 6.48 or 6.5 rounded up!
Step-by-step explanation: hope i can help please give brainliest!
just try my answer its
6.48 or 6.5 rounded up!
1 3/4+z= 2 2/3
Wat is z
Answer:
11/12 is Z
Step-by-step explanation:
Do you need the explanation?
The required value of z is 11/12 in the given equation.
What is the fraction?A fraction is defined as a numerical representation of a part of a whole that represents a rational number.
The equation is given in the question as:
1 3/4 + z = 2 2/3
We have to determine the value of z in the given equation,
As per the question, we have
⇒ 1 3/4 + z = 2 2/3
Convert the mixed numbers into fractions,
⇒ 7/4 + z = 8/3
Rearrange the terms in the above equation,
⇒ z = 8/3 - 7/4
Take LCM in the term of fractions,
⇒ z = (32 - 21)/12
⇒ z = 11/12
Therefore, the required value of z is 11/12 in the given equation.
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Luis made a $150 bank deposit using $5 bills and $10 bills. He gave the teller a total of 24 bills. How many $10 bills were in the deposit?
Answer:
100 10's
Step-by-step explanation:
Answer: 6 10$ bills
Step-by-step explanation:
18 (5$) times 6 (10$) = $150
18 + 6 = 24 bills in total ^
I need help with this question
The answers are 15 guests, 7 tables, 24 guests, and 10 tables respectively.
Step-by-step explanation:
Step 1: Find relation between the number of tables and guests. Given that for every 6 guests, Maya uses 2 tables.2 tables ⇒ 6 guests
1 table ⇒ 6/2 = 3 guests
Step 2: Find number of guests for 5 tables.5 tables = 5 × 3 = 15 guests
Step 3: Find number of tables for 21 guests.Number of tables = 21/3 = 7 tables
Step 4: Find number of guests for 8 tables.Number of guests = 8 × 3 = 24 guests
Step 5: Find number of tables for 30 guests.Number of tables = 30/3 = 10 tables
whats 12-7-8-9+66=??????
Hey there!
12 - 7 - 8 - 9 + 66 = ?
12 - 7 = 5
5 - 7 - 8 - 9 + 66
5 - 8 = -3
-3 - 9 + 66
-3 - 9 = -12
-12 + 66 = 54
Answer: 54
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
A sequence is defined by the recursive function f(n + 1) =1/3 f(n). If f(3) = 9 , what is f(1) ?
1
3
27
81
Solution:
Given that,
A sequence is defined by the recursive function:
[tex]f(n+1) = \frac{1}{3} \times f(n)[/tex] ------ eqn 1
Given that,
[tex]f(3) = 9[/tex]
Substitute n = 2 in eqn 1
[tex]f(2 + 1) = \frac{1}{3} \times f(2)\\\\f(3) = \frac{1}{3} \times f(2)\\\\Substitute\ f(3) = 9\\\\9 = \frac{1}{3} \times f(2)\\\\f(2) = 27[/tex]
Substitute n = 1 in eqn 1
[tex]f(1 + 1) = \frac{1}{3} \times f(1)\\\\f(2) = \frac{1}{3} \times f(1)\\\\Substitute\ f(2) = 27\\\\27 = \frac{1}{3} \times f(1)\\\\f(1) = 27 \times 3\\\\f(1) = 81[/tex]
Thus f(1) is 81
Answer:
D 81
Step-by-step explanation:
Order the numbers from least to greatest 3\7,0.44,42%
Answer:
42%, 3/7, .44
Step-by-step explanation:
what i would do is turn them all into decimals
3/7 is .4285
.44 is already a decimal
42% is .42
what is 2b = 20, what does the b equal
Answer:
b = 10
Step-by-step explanation:
Divide 20 by 2 to get b by itself:
20/2 = b
10 = b
MARK AS BRAINLIEST!
Answer:
B=10
Step-by-step explanation:
2(b)=20
2(10)=20
Or
2b÷2=20÷2
B=10
Serenity Spa charges $59 for a one hour massage. They charge $0.95 per minute for each additional minute over an hour. If
x represents the number of minutes over one hour, which of the following functions represents the cost of a massage?
Answer:
D. y = 0.8x + 79
Choices:
A.
y = 79x + 0.8
B.
y = -0.8x + 79
C.
y = 79.8x
D.
y = 0.8x + 79
The following functions represent the cost of a massage as: Cost = 59 + 0.95x
What is the Linear function?A linear function is defined as an equation in which the highest exponent of the variable is always one.
A one-hour massage at Serenity Spa costs $59 USD. They charge $0.95 per minute for every minute over an hour.
The cost of a massage can be represented by the function:
Cost = 59 + 0.95x
This function states that the cost of the massage is equal to the base cost of $59 plus an additional charge of $0.95 for each minute over an hour (represented by the variable x).
For example, if the massage lasts for 70 minutes (10 minutes over an hour), the cost would be calculated as:
Cost = 59 + 0.95(10) = 59 + 9.5 = $68.50
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I need help!!! please help me out as quick as possible
Answer:
D) 262,144
Step-by-step explanation:
The given sequence is given explicitly as:
[tex]A_n = {4}^{n - 1} [/tex]
We want to find the tenth term of this sequence.
We substitute n=10 to get:
[tex]A_ {10}= {4}^{10 - 1} [/tex]
Simplify the exponent
[tex]A_ {10}= {4}^{9} [/tex]
Simplify the power
[tex]A_ {10}= 262144[/tex]
Therefore the 10th term is 262,144
Solve x+8y/4=9y for x
Answer:
x = 7y
Step-by-step explanation:
x+8y/4=9y
Multiply each side by 4 to get rid of the fractions
4(x+8y/4)=9y*4
Distribute
4x +8y = 36y
Subtract 8y from each side
4x +8y-8y = 36y-8y
4x = 28y
Divide each side by 4
4x/4 = 28y/4
x = 7y
x+8y/4=9y
Multiply each side by 4
4(x+8y/4)=9y*4
=>4x +8y = 36y
Subtract 8y from each side
=>4x +8y-8y = 36y-8y
=4x = 28y
Divide each side by 4
=>4x/4 = 28y/4
x = 7y
Divide 5x2 − 7x − 6 by x − 2.
5x − 5
5x + 3
x − 5
x + 3
Answer:
5x+3
Step-by-step explanation:
-5y=-5
7x+6y=7
Is (5,1) a solution to the system?
no for the last problem but yes for the first if u plug in everything
Step-by-step explanation:
I plugged everything in and go the same answer on both sides for the first in but the last one i didn't, so that's a question you should ask your teacher if there is one near you
The weight of a package is at least 1.5 pounds. Write an inequality to represent this situation. (Show work please)
Answer:
W ≥ 1.5lb
W = weight of package
Step-by-step explanation:
The key words at least show more than or equal to.
Angles 1 and 3 are directly across from each other.
They are called vertical angles. They share only a
vertex. They always measure the same. Therefore,
if angle 1 measures 27 degrees, angle 3 will
measure
degrees.
The measure of angle 3 is 27 degrees.
Step-by-step explanation:
The angles 1 and 3 are vertical angles and share same vertex.Therefore, the measure of the angle 1 and angle 3 are equal.Given,
angle 1 = 27°
Since angle 3 is same as angle 1, the measure of angle 3 is also 27 degrees
angle 3 = 27°.
there i s 15 boys and 13 girls what is the probability that she will pick a boy
Answer:
54% or 15/28
Step-by-step explanation:
You find the sum of 15 and 13 to get 28. 15/28 = 53.5 If you round you get 54%.
Gradpoint-What is the value of y?
25
35
50
100
Answer:
35
Step-by-step explanation:
60 x 70 ÷ 50 yyyyyygsgsgsvsvshsh