21 to base 2 is 10101
109 to base 4 is 1231
1652 to base 9 is 2235
A sandbox in the shape of a rectangular prism is
7 feet long, 5 feet wide, and 1 foot tall. If six
inches is added to the height, how much more
sand can it hold?
HELP PLASSS!!!
A. 12 ft
B. 15Ft
C: 17.5 ft
D. 21 ft
Answer:
C. 17.5
Step-by-step explanation:
The current volume of the sandbox is 7×5×1 = 35 feet³
If six inches is added to the height, the new volume will be 7×5×1.5=52.5
To find the difference in how much the snadbox can hold, you can subtract. 52.5-35= 17.5
Enter a positive value for b that makes this statement true: 16 x b is greater than 16 but less than 32.
Answer:
24
Step-by-step explanation:
24
Answer:
1.5
Step-by-step explanation:
16 x 1.5 =24
24 is greater than 16 and less than 32
There are two vendors at the fair sleeping snow cones for the same price. If the containers are completely filled and then leveled off across their tops, what is the difference in the amount of snow cone each will hold
Answer:
[tex]d = 787.81cm^3[/tex]
Step-by-step explanation:
Given
See attachment for the containers
Required
The difference in the amount of snow cone they hold
The amount they hold is determined by calculating the volume of the containers.
The traditional snow cone has the following dimension
Shape: Cone
[tex]r=4cm[/tex] --- radius
[tex]h = 13cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \frac{1}{3} \pi r^2h[/tex]
So, we have:
[tex]V_1 = \frac{1}{3} \pi * 4^2 * 13[/tex]
[tex]V_1 = \frac{208}{3} \pi[/tex]
The snow cone in a cup has the following dimension
Shape: Cylinder
[tex]r=8cm[/tex] --- radius
[tex]h = 5cm[/tex] --- height
The volume is calculated as:
[tex]Volume = \pi r^2h[/tex]
So, we have:
[tex]V_2 = \pi *8^2 * 5[/tex]
[tex]V_2 = \pi *320[/tex]
[tex]V_2 = 320\pi[/tex]
The difference (d) in the amount they hold is:
[tex]d = V_2 - V_1[/tex]
[tex]d = 320\pi - \frac{208\pi}{3}[/tex]
Take LCM
[tex]d = \frac{3*320\pi -208\pi}{3}[/tex]
[tex]d = \frac{960\pi -208\pi}{3}[/tex]
[tex]d = \frac{752\pi}{3}[/tex]
Take [tex]\pi = 22/7[/tex]
[tex]d = \frac{752}{3} * \frac{22}{7}[/tex]
[tex]d = \frac{752 * 22}{3*7}[/tex]
[tex]d = \frac{16544}{21}[/tex]
[tex]d = 787.81cm^3[/tex]
Please help as soon as someone can, I need help on these questions.
Answer:
BELOW ↓Step-by-step explanation:
1.Given Information :
Distance (d) = 1/4 miles
Time (t) = 36 seconds
Speed = ?
[tex]Speed = \frac{Distance (d)}{Time (t)}\\\\Speed= \frac{\frac{1}{4} mile }{36 seconds} \\\\Speed =\frac{1}{44}m/hr[/tex]
2.The unit rates are equal
Due tonight *no links*
Answer:
x=50°
Step-by-step explanation:
Add all the number. 110+99+101=310
Then, 360-310=answer(x)
If the surface area of a cube is 294 in² and the surface area increased by a scale factor of 3, what is the area of the enlarged cube?
Answer: [tex]882\ in.^2[/tex]
Step-by-step explanation:
Given
The surface area of the cube is [tex]294\ in.^2[/tex]
Surface area is increased by a scale factor of 3
Enlarged surface area is
[tex]\Rightarrow 294\times 3=882\ in.^2[/tex]
PLEASE HELP ME!!!!!!!!!!
Answer:
a= -15
b= -0.5
c= 0.01
Step-by-step explanation:
a: multiply 3 both sides so now it would be a = -15
b: do 12 - 12.5 = -0.5
c: -0.1 divided by -10 = 0.01
what is 1/3 divided by 1/6
Answer:
its 2
Step-by-step explanation:
Solve by taking square roots. plz find answer
Answer:
Step-by-step explanation:
4[tex]x^{2}[/tex] - 6 = 394
4[tex]x^{2}[/tex] = 400
[tex]x^{2}[/tex] = 100
x = 10
Solve the system by substitution.
-2x - 3y = -8
-y = x
Answer:
x=−8 and y=8
Step-by-step explanation:
Answer:
(-8,8)
Step-by-step explanation:
Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.
And the difference between the range and the mean (15. 13. 22, 18, 13. 12. 18, 16, 14, 18, 14)
Answer:
range °° heights - lowest = 22-12 = 10
mean °° average number = sum of all numbers÷ number of digits = 173÷ 11 =15.727
A die is thrown once, find the probability of getting an even number and a multiple of 3,
Answer:
OPA OPA OPA OPA OPA OPA OPA OPA
Step-by-step explanation:
_. ._
\_(``-)_/
Answer:
its by chance yk
Step-by-step explanation:
Can someone help with this please!
Answer:
96/100, if they said simplify then its 24/25
Step-by-step explanation:
find the length of x plsss
Answer:
I am not sure about this one but I think x = 13.89
Step-by-step explanation:
Have a nice day!
Isaac owes \$8,100$8,100 on his credit card. The bank charges an annual interest rate of 21.9%, compounded monthly. If Isaac wants to pay off his credit card using equal monthly payments over the next 16 months, what would the monthly payment be, to the nearest dollar?
Answer:
[tex]M=\$605.58[/tex]
Step-by-step explanation:
From the question we are told that:
Issac's Debit [tex]P=\$8100[/tex]
Annual interest rate [tex]r=21.9\%[/tex]
Number of payments [tex]n=16[/tex]
Generally the equation for Monthly payment is mathematically given by
[tex]M=\frac{Pr}{1-(1+r)^-^n}[/tex]
[tex]M=\frac{1800*0.0219}{1-(1+0.0219)^-^{16}}[/tex]
[tex]M=\$605.58[/tex]
Therefore Payment for each month is given as
[tex]M=\$605.58[/tex]
Find the range of the data.
67, 63, 72, 62, 64, 79, 74, 66
Answer:
The range is 17
Step-by-step explanation:
67, 63, 72, 62, 64, 79, 74, 66
To find the range of the data, take the largest number and subtract the smallest number.
The largest number is 79
The smallest number is 62
79-62 = 17
The range is 17
Da solución al siguiente sistema de ecuaciones utilizando el método de igualación. X + y =82 , 5x + 10y = 500 por favor es para hoy.
Answer:
X = 64
Y = 18
Step-by-step explanation:
Para resolver un sistema de ecuaciones de dos incognitas por igualacion:
- Se despeja en ambas sub ecuaciones una incognita y se igualan, para determinar la respuesta del otro valor desconocido
Despejemos la Y en ambas operaciones:
Y = 82 - X
Y = (500 - 5X) 1/10
Y = 50 - 1/2X
Ahora igualamos
82 - x = 50 - 1/2x
82 - 50 = -1/2x + x
32 = 1/2x
x = 32 . 2
x = 64
Volvemos a las dos sub ecuaciones
Y = 82 - 64 → 18
Y = (500 - 5 . 64) / 10
Y = (500 - 320) / 10
Y = 180 / 10 → 18
I need help with B please
Answer:
Area = 0.785 yrd
Circumference = 12.56 yrd
Step-by-step explanation:
Diameter = 1 yrd
Area of a circle = pi times the radius squared
A = 3.14 (1/2)^2
A = 0.785
Circumference of a circle = 2 times pi times the radius
C = 2(3.14)(1/2)
C = 12.56
If a sweater originally costs $50 and there is a 30% off sale on sweaters, what is the sale price?
Your salary is $105,000 per year
Each month, 16% of your income is deducted for taxes?
7. What is your after-tax monthly income?
9514 1404 393
Answer:
$7350
Step-by-step explanation:
The tax deduction multiplies your income by 1 -16% = 84%. The expression of it as a monthly amount multiplies it by 1/12. So, your monthly take-home income is ...
$105,000(0.84)(1/12) = $105,000(0.07) = $7,350
Your after-tax monthly income is $7350.
Answer please no links or files
Answer:
120
Step-by-step explanation:
-6x+3y=-39 -6x-3y=-21 solve the system of equations
Answer:
x=5,y=-3
Step-by-step explanation:
[tex]\left \{ {{-6x+3y=-39} \atop {-6x-3y=-21}} \right. \\-12x=-60\\12x=60\\x=\frac{60}{12} \\x=5[/tex]
[tex]-6(5)+3y=-39\\-30+3y=-39\\3y=-39+30\\3y=-9\\y=-\frac{9}{3} \\y=-3[/tex]
⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️⚠️If the area of a circle is 113.04 sq ft, what is the diameter of that circle?
Answer:
12ft
Step-by-step explanation:
A=π r^2
113.04 = π r^2
113.04/ π = π r^2/ π
35.98=r^2
√35.98 =√r^2
r= 5.998
d=r*2
d=5.998*2
d=11.9969 rounded to 12 i guess
I bought a 5lb bag of sugar. I used 1 2/3 for cookies and 2 3/4 for cake. How much sugar do I have left?
Answer:
7/12lb
Step-by-step explanation:
5-1 2/3-2 3/4
=5-5/3-11/4
=10/3-11/4
=40/12-33/12
=7/12lb
Answer:
[tex]\frac{7}{12}[/tex]
Step-by-step explanation:
There was an initial amount of 5 lbs.
[tex]1\frac{2}{3}+2\frac{3}{4}=4\frac{5}{12}[/tex]
4 (5/12) of the sugar was used.
[tex]5 - 4\frac{5}{12}=\boxed{\frac{7}{12}}[/tex]
(7/12) of sugar should be remaining.
Hope this helps.
An online furniture store sells chairs for $100
each and tables for $500 each. The store must
sell a minimum of $8300 worth of chairs and
tables each day. Write an inequality that could
represent the possible values for the number of
tables sold, t, and the number of chairs sold, c,
that would satisfy the constraint.
Answer:
13 3/4
Step-by-step explanation:
PLSS HELP IMMEDIATELY!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!
The tallest is 2 7/8
The shortest is 1 3/4
Difference = 2 7/8 - 1 3/4 = 1 1/8
A new car sells for $34,500. If the car depreciates at a rate of seven and a half percent each year, how much will the car be worth in five years?
Answer:
$23356.5
Step-by-step explanation:
Given data
Cost = $34,500
rate= 7.5%
Time= 5 years
The expression for the depreciation is
A= P(1-r)^t
substitute
A= 34500(1-0.075)^5
A= 34500(0.925)^5
A= 34500*0.677
A=$23356.5
Hence the worth will be $23356.5
Thank you for taking the time to look at my question
Answer:
I think it's B but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
Answer and Step-by-step explanation:
The functions f(x) is being put into the function of g(x).
[tex]\frac{2x + 3}{4}[/tex]
[tex]\frac{1}{2} x + \frac{3}{4}[/tex]
Our answer is Answer choice 2.
#teamtrees #PAW (Plant And Water)
What is (x-7)(x-4) ????????
Answer:
x^2 -11x+28
Step-by-step explanation:
See Image below. I hoped this helped :)
2y - 6 = 2
What value of y makes the following true
Answer:
y = 4
Step-by-step explanation:
2y - 6 = 2
add 6 to each side of the equation:
2y = 8
divide both sides by 2:
y = 4