First the surface area of the cube. Round to the nearest whole number and the next one after that pllzzzzz
Answers
The surface area of the cube is approximately 396, and the next whole number after that is 397.
17/7 as a repeating decimal is approximately 2.428571.
To find the surface area of a cube, you need to multiply the side length of the cube by itself, and then multiply the result by 6.
In this case, the side length of the cube is 65/8 cm. To simplify this fraction, you can divide the numerator and denominator by their greatest common divisor, which is 1 in this case. Therefore, the simplified fraction is still 65/8.
To find the surface area, you'll need to calculate (65/8)^2 and then multiply the result by 6.
To square the fraction, you need to square the numerator and the denominator separately.
(65/8)^2 = (65^2)/(8^2) = 4225/64
Now, multiply this result by 6:
(4225/64) * 6 = 25350/64
To round this fraction to the nearest whole number, you divide the numerator by the denominator and round to the nearest whole number.
25350/64 ≈ 396.09375
Rounding this to the nearest whole number, you get 396.
The next whole number after 396 is 397.
Therefore, the surface area of the cube is approximately 396, and the next whole number after that is 397.
Now, let's move on to the next question:
To write the fraction 17/7 as a repeating decimal, you need to perform long division.
Divide 17 by 7:
2.428571...
-14
------
30
-28
------
20
-14
------
60
-56
------
40
-35
------
50
-49
------
10
The division repeats after the first decimal place, with the digits 428571 repeating indefinitely. Therefore, 17/7 as a repeating decimal is approximately 2.428571.
Related Questions
The twenty-six coins are all dollars and quarters, and they add up to seventeen dollars in value. How many dollars and how many quarters are there?
Answers
d +q = 26
d=26-q
1d +0.25q = 17
1(26-q) +0.25q = 17
26 -q +0.25q = 17
26-0.75q = 17
-0.75q = -9
q = -9 / -0.75 = 12
12 quarters and 14 dollars
check 12 * 0.25 = 3
3+14 = 17
Travis and Paula went to lunch. Travis ordered a sandwich for $7.50, and Paula ordered a burger for $5.25. after lunch they left a %15 percent tip for their waiter. how much money did the spend together?
Answers
$7.50 + $5.25 = $12.75
Next, you would need to create an equation for this problem.
($12.75 x 0.15) + $12.75
Now, all you would have to do is solve it.
($12.75 x 0.15) + $12.75 = $14.6625
They spent $14.6625 in total.
I hope this helps!
An apartment has
972
square feet of carpeting. How much is this in square meters? Use the following conversion:
1
square meter is
10.8
square feet.
Answers
If an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
What is conversion?Conversion is basically converting one unit to another because there are different quantities expressed in different units. Like in one kilogram there are 1000 grams, etc.
How to convert units?We have been given that an apartment has 972 square feet of carpeting and we are required to convert these 972 square units into square meters. We have been given that 1 square meter is equal to 10.8 square feet.
972 square feet=972/10.8
=90 square meters.
Hence if an apartment has 972 square feet of carpeting then from conversion we can say that it has 90 square meters.
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i need help with this problem even though it is easy.
what is 12 / 14
Answers
jason bought 5 movie tickets and a bag of popcorn. Jeremy bought 2 movie tickets. They spend $54 total. If the popcorn cost $5 how much did each movie ticket cost?
Answers
Need help on my homework so if somebody could at least help me
Answers
84/14=6
6*19=114
Polynomial Or Not a polynomial?
1) x4+3x3−5x2−7x+20
2) x3−2x2+x−12
3) x2+3x5−6x+12x3
4) x−3−x−2−6x−1+84x√3−x√−20
5) 4x√3−x√−20
6) 5x3−1x2+8x−40
Select "P" for Polynomial and Select "NP" for Not a Polynomial when answering
Answers
A builder uses squares to lay out various projects. Write two equations. The first equation should express the area of the square (a) as a function of the length (l) of a side. The second should express the volume of a cube (v) as a function of the length (s) of a side.
Answers
f(l) = l^2
And volume of cube can be expressed as a function of side s as,
f(s) = s^3
Answer:
The area of the square:
a = l²
The volume of a cube:
v = s³
Which pair represents equivalent ratios? 2/3 or 9/15
Answers
Please Help Fast!!
Only answer if you are positive you know the answer, and explain why you choose that answer.
Solve for X.
X^3=1/27, or it could be worded as, X to the third power = 1 over 27
Answers
What is the least common denominator (LCD) for these fractions? 2/7 and 9/10
Answers
2/7, 9/10
For the denominators (7, 10) the least common multiple (LCM) is 70.
Therefore, the least common denominator (LCD) is 70.
Rewriting the original inputs as equivalent fractions with the LCD:
20/70, 63/70
The required least common denominator for the fraction is 70.
Given that,
To determine the least common denominator for the fractions 2/7 and 9/10.
The least common denominator has defined the factor that is least common among the factors of the denominator is called the least common denominator.
The greatest common factor is defined as a group of the set of numbers that is the most considerable and greatest factor that all the numbers include of.
Here,
For the fraction, 2 / 7 and 9 / 10
the denominators are 7 and 10
Now lowest common multiple of 7 and 10 is given as ,
7 * 10 = 70
Thus, the required least common denominator for the fraction is 70.
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What polynomial has roots of −6, 1, and 4?
Answers
The answer is c.
If you have a root (a), it can also be written as (x-a).
(x+6),(x-1),(x-4)
Multiply all of them together to get the equation
(x+6)(x-1)(x-4)=
(x2-x+6x-6)(x-4)=
(x2+5x-6)(x-4)=
(x3+5x2-6x-4x2-20x+24)=
x3+x2-26x+24
To find a polynomial with given roots −6, 1, and 4, we create factors (x + 6), (x - 1), and (x - 4). Multiplying these factors, we get the polynomial x3 - 5x2 - 21x + 24.
Finding the Polynomial with Given Roots
To find a polynomial with roots of −6, 1, and 4, we need to create factors that each set to zero at these roots. A polynomial is a product of its factors, and a root is a solution to the equation where the polynomial is equal to zero. The factors corresponding to the roots −6, 1, and 4 are (x + 6), (x - 1), and (x - 4) respectively. Multiplying these factors gives us the polynomial:
(x + 6)(x - 1)(x - 4) = x3 - (1 + 4)x2 + (4 - 1 - 24)x + (6 x 1 x 4)
Let's expand and simplify:
x3 - 5x2 - 21x + 24
Therefore, the polynomial with roots of
−6, 1, and 4 is x3 - 5x2 - 21x + 24.
Find the distance, to the nearest tenth, from T(6,-5) to V(-2,6).
A.) 1.7 units
B.) 3.0 units
C.) 8.3 units
D.) 13.6 units
Answers
alex is thinking of a doubles fact. the sum is greater than the sum of 7+7 but less than the sum of 8+9. what fact is alex thinking of?
Answers
yesterday Bethany sent 60 text message she said that 15% of those messages or to her best friend how many text messages did Bethany sent to her friend yesterday
Answers
Answer:
15 texts
Step-by-step explanation:
The cost of a barrel of oil has recently increased by 20% and is now selling for $72.00. How much was the barrel of oil before the increase?
Answers
1.20(x)/1.20 = 72.00/1.20
x = 60
The barrel of oil costed 60 dollars before the increase
hope this helps
Answer:
[tex]\$60[/tex]
Step-by-step explanation:
Let
x------> the cost of the barrel of oil before the increase
we know that
[tex]100\%+20\%=120\%[/tex]
[tex]120\%=\frac{120}{100} =1.2[/tex]
so
[tex]1.2x=72[/tex]
Solve for x
[tex]x=72/1.2=\$60[/tex]
A forest ranger can see a distance of 12 miles from a fire tower how many square miles can he see
Answers
A = π * r²
A = π * 12²
A = 3.14 * 144 =
A = 452.16 miles²
A photocopy clerk copies 80 pages in 4 min. How much time will he take to copy 200 pages?
Answers
80 pages/4 min= 20 pgs/1 min
Then, multiply to find the final answer.
200 pgs x (1 min/20 pgs)=200/20=10 min
Marcus earns $10.75 per hour working at a sporting goods store. How much money would he earn if he worked 15 hours
Answers
In order to solve this question, you have to multiply 10.75 x 15. Which equals to 161.25.
I hope this helps you! -Wajiha
Count by ones from 368 to 500. Change for a larger unit when necessary.
377? 1 ten 1 hundred ——ones ——tens
Answers
500 - 368 = 132
Now, we need to get it in word form. This can be done by looking at the place value of each number.. So your answer would be:
1 hundred, 3 tens, and 2 ones.
which division expression is equivalent to 4 1/3 ÷ -5/6
Answers
[tex]4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}[/tex]
Answer:
the answer is 13/3 ÷ ( - 5/6 ) my luv :)
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Step-by-step explanation:
Which ordered pairs lie on the graph of the exponential function f(x)=4(5)^2x
select each correct answer:
(-1,4/25)
(0,0)
(1,4)
(2,2500)
Answers
The ordered pairs [tex]\left(-1, \frac{4}{25}\right)[/tex] and [tex](2,2500)[/tex] lie on the graph of the exponential function.
The quickest approach consists in evaluating the function at each value of [tex]x[/tex] to determine if the resulting value of [tex]y[/tex] coincide with the value given in statement.
x = -1
[tex]f(-1) = 4\cdot 5^{2\cdot (-1)}[/tex]
[tex]f(-1) = \frac{4}{25}[/tex]
The resulting value coincides with the value given in statement.
x = 0
[tex]f(0) = 4\cdot 5^{2\cdot (0)}[/tex]
[tex]f(0) = 4[/tex]
The resulting value does not coincide with the value given in statement.
x = 1
[tex]f(1) = 4\cdot 5^{2\cdot (1)}[/tex]
[tex]f(1) = 100[/tex]
The resulting value does not coincide with the value given in statement.
x = 2
[tex]f(2) = 4\cdot 5^{2\cdot (2)}[/tex]
[tex]f(2) = 2500[/tex]
The resulting value coincides with the value given in statement.
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The ordered pairs (-1, 4/25) and (2, 2500) lie on the graph of the exponential function f(x) = 4 × (5)^(2x), while (0, 0) and (1, 4) do not.
To determine which ordered pairs lie on the graph of the exponential function f(x) = 4 × (5)^(2x), we can substitute the given x-values into the function and check if the resulting y-values match the given coordinates.
For the point (-1, 4/25):
f(-1) = 4 × (5)^(2(-1)) = 4 × 1/25 = 4/25
This matches the given coordinate, so (-1, 4/25) is on the graph.
For the point (0, 0):
f(0) = 4 × (5)^(2 × 0) = 4 × 1 = 4
This doesn't match the given coordinate, so (0, 0) is not on the graph.
For the point (1, 4):
f(1) = 4 × (5)^(2 × 1) = 4 × 25 = 100
This doesn't match the given coordinate, so (1, 4) is not on the graph.
For the point (2, 2500):
f(2) = 4 × (5)^(2 × 2) = 4 × 625 = 2500
This matches the given coordinate, so (2, 2500) is on the graph.
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One foot is equivalent to 30.48 centimeters . Write this value as a mixed number in simplest form. PLEASE HELP!!!
Answers
Now to make this into simplest form you need to find a number that goes into both 48 and 100 evenly
We will use 4 to start with
48 / 4 = 12
100 / 4 = 25
No other number can go into both 12 and 25 evenly so we know that it's as simple as it gets
Answer: 30 12/25
The distance between R and T on the coordinate grid is ___ units. (Input whole numbers only.)
Image of a coordinate grid with point R R located at negative 30, 10 and point T located at 15, 10.
Answers
the distance between the R and the T is
4 units
Use the simple interest formula to find the ending balance.
$1500 at 7% for 1.5 years. 13 points
Answers
where i = interest, p = principal, r = interest rate, t = time
i = $1500 * 0.07 * 1.5
i = $157.5
23 decreased by the product of 44 and an unknown number is 199. What is the value of the unknown number.?
Answers
-23. -23
-4x. =. -4
——. ——
-4. -4
X. =. 1
Describe the similarities and differences between a rhombus, square , and rectangle.
Answers
I need lots of help and I really need it
Answers
12/24 - 7/24 = 5/24. 7/24 is less than half a day by 5/24.
you and four friends go to johnny rockets. you all split the bill equally. each person share was $6.50. how much was the original bill. let a represent the amount of the original bill
Answers
The amount of the original bill at johnny rockets was $32.50.
What is an equation?An equation is an expression used to show the relationship between two or more numbers and variables.
Let a represent the total bill.
You and four friends split the bill equally. each person share was $6.50. Hence:
a / 5 = 6.50
a = 32.5
The amount of the original bill at johnny rockets was $32.50.
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hat is 965.38 rounded to the nearest tenth? A. 970 B. 965.4 C. 965.3 D. 965