Answer:
9 cm
Step-by-step explanation:
The cube has 6 square faces.
Divide surface area by 6 to find area of 1 face
area = 486 ÷ 6 = 81 cm²
The area of a square = s² ( s is the side length ) , then
s² = 81 ( take the square root of both sides )
s = [tex]\sqrt{81}[/tex] = 9 cm
The clerk at a store worked 45 hours one week.He worked an equal number of hours each day on Monday through Friday.He worked an extra 5 hours on Saturday.How many hours did he work on each weekday
Answer:
he worked 40 hours on the the weekdays
Step-by-step explanation:
Find the first five terms of the recursive sequence.
Answer:
The first five terms of the recursive sequence are;
5, 12, 19, 26, 33
Step-by-step explanation:
The given sequence is presented as follows;
aₓ = a₍ₓ ₋ ₁₎ + 7
The first term of the sequence, a₁ = 5
Therefore, we have;
a₂ = a₍₂ ₋ ₁₎ + 7 = a₁ + 7 = 5 + 7 = 12
a₃ = a₍₃ ₋ ₁₎ + 7 = a₂ + 7 = 12 + 7 = 19
a₄ = a₍₄ ₋ ₁₎ + 7 = a₃ + 7 = 19 + 7 = 26
a₅ = a₍₅ ₋ ₁₎ + 7 = a₄ + 7 = 26 + 7 = 33
The first five terms of the recursive sequence are therefore;
5, 12, 19, 26, 33.
25+2-15÷3=?
Pls Help me
Answer:
22
Step-by-step explanation:
15/3= 5
25+2=27
27-5= 22
Hope this helps
Simplify the expression:
-5 – 3 (4x – 9)
Answer:
Step-by-step explanation:
lets remove the paranthesis and multiply
-5-3(4x-9)=
=-5-12x+27=
=-12x+22
Standard
Expanded
Written
6000 + 900 + 10 + 5
Answer: This is written in Expanded form.
Step-by-step explanation: The number is 6,915, to write a number in expanded form, write it's place values by the number it's in.
Ex: Expanded form of 5,731: 5,000 + 700 + 30 + 1
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month. Write and solve an equation that can be used to determine gg, the number of gigabytes of data Sofia can use while staying within her budget.
Answer:
To stay within budget, she must use 4.5 gigabytes.
Step-by-step explanation:
Giving the following information:
Under her cell phone plan, Sofia pays a flat cost of $58.50 per month and $4 per gigabyte. She wants to keep her bill at $76.50 per month.
First, we need to establish the total cost formula:
Total cost= 58.5 + 4*x
x= number of gigabytes
Now, we isolate x:
76.5= 58.5 + 4x
18/4= x
4.5= x
To stay within budget, she must use 4.5 gigabytes.
does anyone know how to solve this? :(
Answer:
i dont know but my Friends do
Find the total surface area of a cylinder whose diameter is 28 cm and height is 11 cm.
Answer:
2199.11 (with pi)
2198 (with 3.14)
Step-by-step explanation:
A=2πrh+2πr²
A=2π(14)(11)+2π(14)²
A=2π(154)+2π(196)
A=2(483.56)+2(615.44)
A=967.12+1230.88
Find the missing side in the right triangle x 7 14
Help pls
Answer:
The answer is C) 147 radical thing
Step-by-step explanation:
Trust me and hope this helps!
A box is filled with 9 brown cards, 2 yellow cards, and 3 blue cards. A card is chosen at random from the box. What is the probability that it is a brown or a blue
card?
Answer:
9 / 14 for a brown , 3 / 14 for a blue
Step-by-step explanation:
1) summarize all cards 9 (brown) + 2 (yellow) + 3 (blue)= 14 cards.
2) probability depends on how many cards of a particular color, how more cards, then more probability.
3) 9 brown cards, so probability = 9 brown cards to divide all cards 14.
Which one would it be A
B
C
Or
D
4. A garage is 40 feet long by 90 feet wide. If you were asked to make a scale drawing of the garage that has
a scale of 0.5 inch 10 feet, what would the dimensions be?
a. 9 in x 4 in
b, 45 in x 20 in
c. 4.5 in x 2 in
d. 4.55 in x 0.5 in
Answer:
if the scale is .5 inches for every 10 feet the answer is C.
how does the decimal piont move whenever you rewrite a percent as a decimal and when you rewrite the decimal as a percent?
Shelter A has 500 beds and is 90% occupied. Shelter B is 60% occupied, the ratio of beds in Shelter A to Shelter B is 15:16
Answer:
800 bedsStep-by-step explanation:
Shelter A has 500 beds and is 90% occupied.
Number of occupied beds:
500*0.9 = 450The ratio of beds occupied in Shelter A to Shelter B is 15:16
450/x = 15/16x = 450*16/15x = 480Number of occupied beds in Shelter B is 480 which is 60% of total. Total number of beds is:
480/0.6 = 800Answer:
Answer:there are 900 beds in shelter B
Step-by-step explanation:
Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be
80/100 × 300 = 0.8 × 300 = 240 beds.
Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is
45/100 × x = 0.45 × x = 0.45x beds.
Total occupancy of shelter A and shelter B would be
240 + 0.45x
The ratio of the occupancy of shelter A to shelter B is 16:27
Total ratio of occupancy = 16 + 27 = 43
Therefore
27/43 × (240 + 0.45x) = 0.45x
27(240 + 0.45x) = 0.45x × 43 = 19.35x
6480 + 12.15x = 19.35x
6480 = 19.35x - 12.15x = 7.2x
x = 6480/7.2 = 900
Step-by-step explanation:
CAN I GET HELP PLEASE!
Answer:
0.30 of a book / hour or 3/10 of a book per hour.
Step-by-step explanation:
Usually I tell people to put the numbers into decimals. Unfortunately for this question, it won't work. So we have any choice but to do it with fractions.
r = amount / time
amount = 1/4
time = 5/6
r = [tex]\frac{\frac{1}{4} }{\frac{5}{6} }[/tex]
Invert the denominator and multiply
r = [tex]\frac{1}{4} * \frac{6}{5}[/tex]
r = 6 * 1 / (5*4) = 6/20 = 3/10
The answer is 3/10 of a book per hour
5/6 of an hour is almost an hour.
1/4 of a book is 0.25 of a book.
3/10 of a book is 0.30 of a book. So it looks like it is just about right.
The radius r of the base of a cone is given by the equation r=(3V/piH)
, where V is the volume of the cone and h is the height of the cone. Find the radius of the paper cup to the nearest inch. Use 3.14 for pi .
Answer:
1 inStep-by-step explanation:
Given the expression to calculate the radius r of the base of a cone is given by the equation
r=(3V/piH)
v is the volume = 5in^3
H = 4in
pi = 3.14
Substitute
r = 3(5)/3.14(4)
r = 15/12.56
r = 1.19
r = 1in to the nearest inch
To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?
A) describe each two-dimensional figure cross section that results from slicing each three-dimensional figure
B)describe the two dimensional figure cross section that results from slicing the cylinder number 6 with a vertical cross-section
PLEASE HELP QUICK
I WILL MARK BRAINLYIEST'
AnswerWE NEED MORE
Step-by-step explanation:
Name the central angle of the given arc.
De 40 estudiantes de undécimo grado, 14 toman clase de piano y 29 clases se violín.
a. Si cinco estudiantes toman ambas clases,¿ cuántos estudiantes no asisten a ninguna de las dos?
b. ¿cuántos estudiantes toman clase de piano o de violín?
c. cuántos estudiantes toman únicamente clases de violín?
Puedes separar los grupos en:
los que solo toman clases de piano; p
los que solo toman clases de violin: v
los que toman clases de piano y violin; 5
A) para determinar cuántos estudiantes no toman ni piano ni violin, podemos hallar el número total de estudiantes que toman clases solo de piano y los que toman solo de violín y los que toman ambas clases, de la siguiente forma:
Estudian solo piano, p = 14 - 5= 9
Estudian solo violín, v = 29 - 5 = 24
Estudian ambos: 5
Total de estudiantes que toman clases de esos instrumentos : 9 + 24 + 5 = 38
Por tanto, hay 40 - 38 = 2 estudiantes que no toman clases de piano ni violín.
B) ¿cuántos estudiantes toman clases de piano o violín?
Son los que tocan solo piano, o solo violín o ambos y los hallamos arriba: 9 + 24 + 5 = 38.
Respuesta: 38
C) ¿Cuántos estudiantes tocan solo violín?
También lo encontramos arriba: son 29 - 5 = 24
Respuesta: 24
Felipe planted some seeds for a science project. One of his plants grew 6 2/7 inches in the first week, and then it grew 5 11/14 inches during the second week. How much did the plant grow during these two weeks? The answer should be written as a proper mixed number and should be simplified, if possible.
Answer:
The plant grew [tex]12\frac{1}{14}[/tex] inches
Step-by-step explanation:
Operations with Fractions
Felipe planted seeds for a science project. One of the plants grew 6 2/7 inches in the first week and 5 11/14 inches in the second week.
We are required to find the total growth during the two weeks. We have to find the sum of:
[tex]6\frac{2}{7}+5\frac{11}{14}[/tex]
Let's convert both fractions to improper form:
[tex]6\frac{2}{7}+5\frac{11}{14}=6+\frac{2}{7}+5+\frac{11}{14}[/tex]
Adding the integers:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{2}{7}+\frac{11}{14}[/tex]
Now we find the LCM of 7 and 14 is 14, thus:
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{4}{14}+\frac{11}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+\frac{15}{14}=11+\frac{14+1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=11+1+\frac{1}{14}[/tex]
[tex]6\frac{2}{7}+5\frac{11}{14}=12+\frac{1}{14}[/tex]
Rewriting as a mixed number:
The plant grew [tex]12\frac{1}{14}[/tex] inches
What is the value of x in the circle on the right?
The value of x is what cm.
(Round to the nearest tenth as needed)
Answer:
2.1
Step-by-step explanation:
Find the number in the tenth place 1 and look one place to the right for the rounding digit 4. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
How is pi calculated
Answer:
Pie is forever but the first 3 numbers re 314
Step-by-step explanation:
what is 90.90 rounded to the ones
Answer:
91.00
Step-by-step explanation:
I got you
Each figure is composed of large squares and small squares. The side length of the
large square is x. Write an expression for the area of the shaded part of each figure.
Figure A
Figure B
** Please help!!
Hey, did you get the expressions for both figure A and B? If so could you pls write them down below.
9514 1404 393
Answer:
A. x² -4
B. 2x² +8
Step-by-step explanation:
The area of the larger square is the square of its side length, so is x².
A. The area of each of the smaller squares is 1² = 1. There are 4 of them, so their total area is 4×1 = 4. The shaded area is that much less than the area of the larger square, so is ...
x² - 4
__
B. The smaller squares have side length 2, so their area is 2² = 4. There are two of them, so the total area of the smaller squares is 2×4 = 8.
The two large squares have a total area of ...
2 · x² = 2x²
So, the total shaded area is ...
2x² + 8
Of the second grade students at Hirsch Elementary, 16/20 like stuffed animals. Of the students who like stuffed animals, 4/12 prefer shaggy ones. What fraction of second grade students like shaggy stuffed animals?
Answer:
4 / 15
Step-by-step explanation:
Fraction that likes stuffed animal = 16/20
4/12 of fraction who like stuffed animals prefer shaggy ones ;
Fraction of second grade that like stuffed shaggy animals ;
4/ 12 of 16/20
(4 /12) * (16 / 20)
(4 * 16) / (12 * 20)
= 64 / 240
= 4 / 15
PLZ HELP LIKE NOWWWW
What is help needed on?
kk my baby bro needs help it math 7th grade
0.4(3.21x+5.6)
Answer:
1.284x + 2.24 is the answer.
Step-by-step explanation:
Simply, all we have to do is distribute the 0.4 to the 3.21x and the 5.6.
(0.4 × 3.21x) + (0.4 × 5.6)
= 1.284x + 2.24
#teamtrees #WAP (Water And Plant)
Answer: = 1.284x + 2.24
explanation: This question is easily solved through the process of distribution.
(0.4 × 3.21x) + (0.4 × 5.6) = 1.284x + 2.24
Sorry for the late answer hope this helped!
What is the product of 14.5 and 20.2?
Answer:
292.9
Step-by-step explanation:
What is the value of the expression? 18 - 2 x (4 + 3)
Answer:
=−14x+18
Step-by-step explanation:
happy to help ya :)
Answer:
112
Step-by-step explanation:
so you split the question by doing 18 - 2 then do 4 + 3 then you mutiply the answer