Answer:
Answer B- 1034
7% annual rate is 70. divide by 52 (total amount of weeks in a year) =1.35. 1.35 × 25=33.75 rounded up 34. 1000+34=1034
A local rectangular shaped pool used by lap swimmers has dimensions 25 yd by 26 yd and is 5.1 feet deep. Find the cost for filling the pool if the city charges $1.50 per 1000 gallons. Use the conversion 1 gallon = 0.134 cubic ft.
Round your answer to two decimal places.
The cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Given:
Length = 25 yd
width = 26 yd
Height = 5.1 ft
convert yard to feet
25 yd = 75 ft
26 ft = 78 ft
Volume of the pool = length × width× height
= 75 × 78 × 5.1
= 29,835 cubic ft
1 gallon = 0.134 cubic ft.
222,649.3 gallon = 29,835 ft
charges per 1000 gallon = $1.50
Total charges = 222,649.3 gallon / 1000 gallon × $1.50
= 222.6493 × 1.50
= 333.97395
Approximately,
$333.97
Therefore, the cost for filling the pool if the city charges $1.50 per 1000 gallons is $333.97
Learn more about volume:
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Find all numbers that satisfy the given condition. 1. Three less than twice the sum of a number and 6 is at most 13. 2. Five less than 3 times the sum of a number and 4 is at most 10. 3. Five times the sum of a number and 3 is at least 5. 4. Three times the difference between a number and 2 is at least 12. 5. The sum of 3 times a number and 8 is between 2 and 20. 6. Eight less than twice a number is between -20 and -8. 7. Four subtracted from three times some number is between -4 and 14. 8. Nine subtracted from 5 times some number is between 1 and 11.
Number be x
#1
[tex]\\ \sf\hookrightarrow 2(x+6)-3\leqslant=13[/tex]
#2
[tex]\\ \sf\hookrightarrow 3(x+4)-5\leqslant 10[/tex]
#3
[tex]\\ \sf\hookrightarrow 5(x+3)\geqslant 5[/tex]
#4
[tex]\\ \sf\hookrightarrow 3(x-2)\leqslant 12[/tex]
#5
[tex]\\ \sf\hookrightarrow 2\leqslant 3x+8\leqslant 20[/tex]
#6
[tex]\\ \sf\hookrightarrow -20\leqslant 2x-8\leqslant -8[/tex]
#7
[tex]\\ \sf\hookrightarrow -4\leqslant 3x-4\leqslant 14[/tex]
7.RP.A.1 (NC)
8. Grant paddled a canoe, 3/4 mile in 1/2 hour. How fast did Grant paddle in miles per
hour?
Answer:
1.5 miles / hour
Step-by-step explanation:
The question is most easily done by converting to decimals
3/4 = 0.75 miles
1/2 = 0.5 hours
Formula
r = d/t
Solution
r = 0.75 miles / 0.5 hours
r = 1.5 miles per hour
I want a way to solve this question
Answer:
Step-by-step explanation:
[tex]cos~L=\frac{m^2+n^2-l^2}{2mn} \\=\frac{5^2+8^2-7^2}{2*5*8} \\=\frac{25+64-49}{80} \\=\frac{40}{80} \\=\frac{1}{2} \\=cos 60\\[/tex]
∠L=60°
For every 50 emails that Nick sent in a month, he received 30 emails. What is the ratio in simplest form of the number of emails sent to the number of emails received by Nick that month? (5 points)
Question 2 options:
1)
5:2
2)
3:5
3)
2:5
4)
5:3
Answer:
50:30 or 50/30
Every 50 you get 30
Step-by-step explanation:
Find the value of x.
Answer:
9
Step-by-step explanation:
yeah, 9...........right???
To solve for the hypotenuse of a right triangle, what information do you need?
To find the hypotenuse of any right triangle, you need to square and add the other two sides. We call those two sides LEGS.
(legs)^2 + (leg)^2 = (hypotenuse)^2
In your textbook, you will see it this way:
a^2 + b^2 = c^2, where a = b = legs.
Answer:
You can use Sin to solve that problem in it you should have Angle=theeta and perpendicular.
Step-by-step explanation:
First you should have Perpendicula and Then Angle Put That info in Sinɵ = perpendicular/base. Solve it and get your Answer
280 is 72% of what number?
Answer:
389
Step-by-step explanation:
MARK BRAINLIEST PLEASE
2^8 - (4+6)
can you please give me the answer
If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
it's C. y = 1/2x + 2
Answer: what are you asking im lost
Step-by-step explanation:
What is 10 1/2 divided by 2 1/4
Answer:
4.666666667 or 4.6_ (repeating decimal)
someone pleaseeee answer!!!
Answer:
6.633
Step-by-step explanation:
on a triangle with angle measures of 30, 60, 90, the shortest side will be 'x', second longest will be 'x times square root of 3' and hypotenuse will be '2x'.
in this problem, x is the hypotenuse and x= square root of 11. sorry my explanation sucks. basically, 2× square root 11 = 6.633. again. sorry i made no sense.
Put the numbers in ascending order:
-6, 19, 4, -22, 9
Answer:
-22, -6, 4, 9, 19
Step-by-step explanation:
hope this helps
mom left $5.00 for his 7 children. how much did each child receive
a.0.17
b.0.70
c.17
d.71
please answer it correctly.
Answer:
.71
Step-by-step explanation:
Answer:
B. 0.70
Step-by-step explanation:
Just divide the total amount of money by the total amount of people.
5/7=0.71428...
if you round up correctly, you get 0.70; thus, it is B.
Also, his is for he, mom is a she, so use her instead of his...
Which of the following satisfies 2x^2 + 5x = 7?
A) x =1
B) x = (-2)
C) x = 5
D) x = 0
plzzz what is the difference between the 15th square number and the 7th square number
Answer:
176
Step-by-step explanation:
15² - 7² = (15+7)*(15-7) = 22*8 = 176
check: 225 - 49 = 176
Round 9296 to the nearest hundred?
The answer it 9300 so 9296 round to is 9300
Pizza chefs buy 5 5/8 kg of flour. They use 3/5 of the flour to make 9 equal mini pizzas. How much flour did they use for each mini pizza? Express your answer as a fraction in its lowest form.
Answer:
Flour used to make 9 pizzas = 5[tex]\frac{5}{8}[/tex] × [tex]\frac{3}{5}[/tex]
= 3[tex]\frac{3}{8}[/tex]
Flour used for each pizza = 3[tex]\frac{3}{8}[/tex] ÷ 9
= 3[tex]\frac{3}{8}[/tex] × [tex]\frac{1}{9}[/tex] (reciprocal of 9)
= [tex]\frac{3}{8}[/tex]
The amount of flour used for each mini pizza is [tex]\frac{3}{8}[/tex] kg.
For every 2 books that Tom buys, he can buy 3 magazines. If he pays $60 fo 4 books and 4 magazines, how much does he have to pay for each book?
Answer:
Price of book is [tex]9\$[/tex]
Step-by-step explanation:
Let the price of book be [tex]x[/tex] and price of magazine be [tex]y[/tex]
We have
[tex]2x=3y[/tex]
We also have
[tex]4x+4y=60[/tex]
[tex]2\times 2x+4y=60\\\\2\times3y+4y=60\\\\10y=60\\\\y=6\\\\2x=3\times6\\\\x=9\$[/tex]
Price of book is [tex]9\$[/tex]
What is the quotient? -4/5 ÷ 2
If A=−2x+8 and B=2x−4, find an expression that equals 2A+B in standard form.
Answer: -2x + 12
Step-by-step explanation:
2A + B = 2(-2x + 8) + (2x - 4) = -4x + 16 + 2x - 4 = -2x + 12
Jack wanted to go sledding. When he looked at the thermometer at 10:00 am the temperature was -10°F. He called his friends and they agreed to meet at their favorite sledding hill at 3 pm. Right before he left to meet his friends, he checked the thermometer again. The temperature was now 15°F. How many degrees did the temperature change from 10 am to 3 pm?
Answer:
25 degrees
Step-by-step explanation:
If its 15 when hes about to leave and -10 when he first checked it shou. be 25
Answer:
answer is 25
Step-by-step explanation:
...........
\sqrt((x-(1)/(2))^(2))=3.5
Answer:
8
Step-by-step explanation:
sqrt((x-1)/2)^2))=3.5
square root and squared cancel out
(x-1)/2 = 3.5
x-1 = 7
x = 8
Tutorial
A line with a slope of 1 passes through the point (-2, -3). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answer:
y = x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 1 , then
y = x + c ← is the partial equation
To find c substitute (- 2, - 3 ) into the partial equation
- 3 = - 2 + c ⇒ c = - 3 + 2 = - 1
y = x - 1 ← equation of line
A sequence begins with-3. Each term is calculated by multiplying the previous term by -4, then subtracting 1.
Which option correctly represents the sequence described?
A -3, 11, -45, 179, ...
B {-3, -13, -53, -213, ...}
C. {-3, 11, -45, 179, ...}
D -3, -13, -53, -213,...
Answer:
C
Step-by-step explanation:
[tex]a_{1}=-3\\a_{2}=(-3)(-4)-1=12-1=11\\a_{3}=11(-4)-1=-44-1=-45\\a_{4}=-45(-4)-1=180-1=179\\................................................\\[/tex]
Answer: Choice A) -3, 11, -45, 179, ...
=====================================================
Explanation:
1st term = -3
new term = -4*(previous term) - 1
2nd term = -4*(1st term) - 1
2nd term = -4*(-3) - 1
2nd term = 12 - 1
2nd term = 11
The answer is between choice A and C since both involve "-3, 11" as the first two terms in that order. The only difference between A and C are the outer surrounding curly braces. These braces tell the reader that we have a set of numbers.
When it comes to a set, the order does not matter. Something like {1,2,3} is identical to {3,2,1}. Because of this, we rule out choice C.
On the other hand, order does matter in a sequence. The sequence 1,2,3 is different from 3,2,1.
1) A museum borrows $2,000,000 at simple annual interest to purchase new exhibits. Let x represent the amount borrowed at 7%, y represent the amount borrowed at 8.5%, and z represent the amount borrowed at 9.5%. Set up a system of linear equations to determine how much is borrowed at each rate given that the total annual interest is $169,750 and the amount borrowed at 8.5% is four times the amount borrowed at 9.5%. Then write the system in matrix form. You do not have to solve the system.
Based on the information the amount borrowed at each rate is:
Z=9.5%=$350,000Y= 8.5%=$1,400,000X=7% =$250,000Let x=9.5%
Let 4x= 8.5%
Let 7% =$2,000,000 - 5x
Formulate
0.095x + 0.085(4x) + 0.07(2,000,000-5x) = 169,750
Collect like terms
0.095x + 0.34x + 140,000 - 0.35x = 169,750
Divide both side by 0.085x
0.085x = 29,750
x=29,750/0.085
x =$350,000
Amount borrowed at each rate:
Z=9.5% =$350,000
Y= 8.5% =$350,000×4
Y= 8.5% =$1,400,000
X=7% =$2,000,000 - 5($350,000)
X=7%=$2,000,000-$1,750,000
X=7% =$250,000
Matrix form
Z $350,000
Y $1,400,000
X $250,000
Inconclusion the amount borrowed at each rate is: $350,000; $1,400,000; $250,000.
Learn more about amount borrowed here:https://brainly.com/question/24576997
Solve for S
Please help me
Answer:
s = 19°Step-by-step explanation:
opposite angles = equal angles
so
106 = 6s - 8
114 = 6s
s = 114 : 6
s = 19°
--------------- check
106 = 6 * 19 - 8
106 = 106
the answer is good
what is linear spline?
9Linear splines
The linear spline represents a set of line segments between the two adjacent data points (Vk,Ik) and (Vk+1,Ik+1). ... The linear spline is constructed for each interval V = [Vk,Vk+1] independently and it matches the data values (Vk,Ik) for k=0,1,...,n.
which of the following is NOT a rational number, -n its like on top of it, -4/7, 3/5 or 2/3
Step-by-step explanation:
i am very sorry but I don't know the answer