Answer:
Irrational numbers cannot be written as a fraction, or the ratio of two whole numbers.
You would have to find a GCF (greatest common factor) and multiply it out of the radical.
ex.
[tex]\sqrt{6}[/tex] = 2 x 2 x 2
when you have to multiplier numbers then you can combine two of them to take outside the radical, meaning 2x2x2
2[tex]\sqrt{2\\}[/tex]
so [tex]\sqrt{6}[/tex] would be closest to the positive 2 on the number line and 2 notches.
[tex]\sqrt{11}[/tex]
is an irrational number, so it might fall into 3.3 if turned into a decimal.
Step-by-step explanation:
A powerful computer is purchased for $2500, but loses 18% of its value each year. How much will it be
worth 4 years from now?
Answer:
$1130.30
Step-by-step explanation:
Step one:
given data
cost of computer= $2500
rate of loss per year= 18%
time t= 4 years
Step two:
let us computer the loss per year
Year 1 loss
worth= 2500- 2500*0.18
worth= 2500-450
worth= $2050
Year 2 loss
worth= 2050- 2050*0.18
worth= 2050-369
worth= $1681
Year 3 loss
worth= 1681- 1681*0.18
worth= 1681-302.58
worth= $1378.42
Year 4 loss
worth= 1378.42- 1378.42*0.18
worth= 1378.42-248.1156
worth= $1130.30
b) Expand 3p(p+5)
c( Solve 4(k-6) = 20
−(−2 − n) please help
Answer:2+n
Step-by-step explanation:
1. distribute parentheses
=-(-2)-(-n)
2.apply minus-plus rules
=2+n
Factor each polynomial: 9x-6
Answer:
3(3x−2)
Step-by-step explanation:
Calcula la longitud en YARDAS de
un trayecto A que mide 100 metros
y la longitud en
YARDAS de un trayecto B que mide 18.50
Answer:
Las longitudes solicitadas en yardas son:
Trayecto A = 109.361 yardas.Trayecto B = 20.231785 yardas.Step-by-step explanation:
Para hacer la conversión de unidades que requieres en el ejercicio, debes saber que:
1 metro = 1.09361 yardasCon ese factor de conversión tú puedes hacer reglas de tres para calcular las medidas que requieres. En el caso del trayecto A:
Si:
1 metro = 1.09361 yardas100 metros = XEntonces:
[tex]x=\frac{100m *1.09361yardas}{1m}[/tex]Cancelamos metros y obtenemos:
x = 100 * 1.09361 yardasx = 109.361 yardasEn este caso, el trayecto A en yardas corresponde a 109.361 yardas. El mismo procedimiento puede aplicarse para el trayecto B:
Si:
1 metro = 1.09361 yardas18.50 metros = XEntonces:
[tex]x = \frac{18.50m*1.09361yardas}{1m}[/tex]Cuando se cancelan los metros se obtiene:
x = 18.50 * 1.09361 yardasx = 20.231785 yardasAsí, el trayecto B en yardas corresponde a 20.231785 yardas.
a particle moves along the x-axis so that anytime t comma measured in seconds it's position is given by...
Given the position function s(t), you can get the acceleration function by differentiating s twice:
velocity = s'(t) = -5 sin(t ) + 3 cos(3t )
acceleration = s''(t) = -5 cos(t ) - 9 sin(3t )
Then when t = π, the particle's acceleration is
s''(π) = -5 cos(π) - 9 sin(3π)
… = -5 • (-1) - 9 • 0 = 5
Last year there were m members in a photography club. This year the number of
members has increased by 10%. The expression m + 0.1m represents the number of
members in the club this year. What is this expression written in simplest form?
Answer:
m + 10/100(m)
Step-by-step explanation:
Last year there were m members in a photography club.This year the number of members has increased by 10%m + 0.1m represents the number of members in the club this year.So m represents the number of members in the club last year.
A 10% increase of the members = [tex]\frac{10}{100} * m[/tex] = 0.1m
Hence the number of members in the club this year = m + 0.1m
When you divide a unit fraction by a whole number greater that 1, the quotient is always smaller than the unit fraction being divided. Why is this true? Use an example to support your answer.
Answer:
The servings that each of your friend received which is 1/8 is the quotient. And the servings that each of your friends got is smaller compared to the half of the round chocolate cake. Therefore, when dividing a unit fraction by a whole number, the quotient is always a unit fraction which is less than the dividend.
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
We have two types of fractions.
Proper fraction and improper fraction.
A proper fraction is a fraction whose numerator is less than the denominator.
An improper fraction is a fraction where the numerator is greater than the denominator.
Example:
1/2, 1/3 is a fraction.
3/6, 99/999 is a fraction.
1/4 is a fraction.
We have,
Let's consider dividing the unit fraction 1/3 by the whole number 2:
= 1/3 ÷ 2
= 1/3 x 1/2
= 1/6
We can see that the resulting quotient, 1/6, is smaller than the original unit fraction of 1/3.
This is because when we divide 1/3 by 2, we are essentially dividing 1 unit of 1/3 by 2 units.
This means that each of the resulting units is smaller than the original unit of 1/3 since it has been divided into more pieces.
In the example above, each resulting unit is 1/6, which is smaller than the original unit of 1/3.
This relationship holds true for any unit fraction and any whole number greater than 1.
The resulting quotient will always be smaller than the original unit fraction being divided.
Thus,
The statement is true because when you divide a unit fraction by a whole number greater than 1, you are essentially dividing a quantity that is smaller than 1 by a quantity that is greater than 1.
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which expression represents five times the sum of a number n and 12
Answer:
5n + 60
Step-by-step explanation:
5 × (n + 12) = 5 × n + 5 × 12 = 5n + 60
Determine the value for x
Answer:
5 im pretty sure
Step-by-step explanation:
if im right, can you mark me brainliest?
Iesha is headed to the grocery store. She needs to buy eggs. If a dozen (12) eggs cost $10.68 how much will one egg cost at the same rate?
Answer:
$0.89 in other words 89 cents
Step-by-step explanation:
$10.68/12= 0.89
One serving is 12 fries. How many servings could you get out of a bag of 96 fries?
Answer:
8 servings
Step-by-step explanation:
12 times 8 is 96 servings
Evaluate each algebraic expression for x = -2,3, -0.5, and 1 1/2
2). 4X. 3) 3x+2
PLEASE HELP URGET!!
Answer:
Step-by-step explanation:
2. 4x= 4*(-2)=-8
4x=4*(3)=12
4x=4*(-0.5)=-2
4x=4*3/2=6
the 3x+2
3x+2=3*(-2)+2=-6+2=-4
3x+2=3*(3)+2=11
3x+2=3*(-0.5)+2=-1.5+2=0.5
3x+2=3*(3/2)+2=9/2+2=13/2=6 1/2
(3 -1) y=1/3x-3 write an equation of the line that passes through the given point and is parallel to the given line
Answer:
[tex]y = 1/3x-2[/tex]
Step-by-step explanation:
General line equation:
[tex]\frac{y-y_{1}}{x-x_{1}} = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
Or
[tex]y = a.x + b\\a = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\b = y_{1} - a.x_{1}[/tex]
where a is the slope and b is vertical displacement.
For a line to be parallel to another, they both have to have the same slope, therefor, the parallel line's slope is 1/3.
By substituting the given point and a = 1/3 in above equation for b, b is equal to -2. Therefore,
[tex]y = 1/3x - 2[/tex]
I need help please. Only answer if you know
Answer:
57
Step-by-step explanation:
first do what is in the brackets then the parentheses, then multiply the 3
Answer:57
Step-by-step explanation:
someone help. find the value of a and b
whoever solves this with explanation gets brainliest
dont scam
Roger’s father knows that Dial It Up sells data plans at $16 for 2 gigabytes and Ring Ring sells data plans at $9 for 1 gigabyte. Use this information to calculate the ratio of the number of gigabytes to the price in dollars for Dial It Up and Ring Ring.
Answer:
dial it up
2:16
simplify
1:8
now multiply 8 by the number of gigs
2:16
3:24
and so on.....
ring ring
1:9
again multiply the cost by the number of gigs
2:18
3:27
and so on....
The volume of the world's oceans is nearly 1.5⋅10^9 cubic kilometers. Write this number in scientific notation.
Answer:
"The World Ocean." The Columbia Encyclopedia. CD-ROM. 2007, 6th Ed. New York: Columbia University Press. "The World ocean has an area of about 361 million sq km (139,400,000 sq mi), an average depth of about 3,730 m (12,230)
Viau, Elizabeth Anne. World Builders: Water on Earth. California State University Los Angeles. 2003.
There are two origins of water: comets (extraterrestrial bombardment) and out gassing (condensation of steam from early volcanism). These processes are continuing today.
Step-by-step explanation:
Gia opened two savings accounts at two diffrent banks. One account earns an annual 3.4% simple interest, and the other earns half as much. If she deposited $509 in each account, how much total interests will sh have earned in 3 years? A:$153.00 B:$38.25 C:$76.50 D:$51.00
Interest from first account is :
[tex]I_1 = \dfrac{p\times r \times t}{100}\\\\I_1 = \dfrac{509\times 3.4\times 3}{100}\\\\I_1 =\$ 51.918[/tex]
Interest form second account is :
[tex]I_2 = \dfrac{p\times r\times t}{100}\\\\I_2 = \dfrac{509\times 1.7\times 3}{100}\\\\I_2 = \$25.959[/tex]
So, total interest is :
[tex]I = I_1 + I_2 \\\\I = 51.918 + 25.959\\\\I = \$77.877[/tex]
Therefore, total interest is $77.877 .
What is Thuy’s error?
Thuy should have written the ratio as StartFraction 30 inches over 3 inches EndFraction.
Thuy should have written the ratio as StartFraction 30 inches over 39 inches EndFraction.
Thuy should have divided both numbers by 6.
Thuy should have divided both numbers by 13.
Answer:
number b
Step-by-step explanation:
thuy should have written the ratio as 30/39
Find the area and perimeter of this shape.
PLEASE show step-by-step.
Answer:
52 ft.
Step-by-step explanation:
there are 8 side that are 3 ft: 3×8=24
there are 4 sides that are 7 ft: 7×4=28
add it and you get: 24+28= 52
The area and perimeter of this shape are 133 ft² and 52 ft respectively.
What is area and perimeter?Perimeter is the distance around the outside of a shape. Area measures the space inside a shape.
Given that, a figure we need to find its perimeter and the area,
The figure we will be divided into 4 rectangles with sides 7 ft and 3 ft and a square, with side 7 ft
So, the area of the square = side²
= 7² ft²
= 49 ft²
Now, the area of a rectangle = length x width = 4 x 3 x 7 [since there are 4 rectangles]
= 4 x 3 x 7 = 84 ft²
The whole area = 84 + 49 = 133 ft²
Now, the perimeter = sum of the sides = 7 x 4 + 3 x 8 = 28 + 24 = 52 ft
Hence, the area and perimeter of this shape are 133 ft² and 52 ft respectively.
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HELP ASAP The tree diagram shows all the possible combinations for heads (H) and tails (T) when 3 coins are tossed. What is the probability that the outcome has at least two heads?
Answer:
1/2
Step-by-step explanation:
4 out of 8 of the outcomes have at least to heads so it would be 4/8, then you just simply that to get 1/2
Combine like terms: 34z-7+15z
Answer:
49z - 7
Step-by-step explanation:
like term are having same variable and power.
By these explanation 34z+15z are added and -7 is keep as it is
Stacy is covering the box below with sticky wrapping paper. If the paper cost 2 cents per square centimeter, how much will it cost to cover the entire box.
Given:
The shape of box is a right triangular prism.
Paper cost = 2 cents per square centimeter
To find:
The cost to cover the entire box.
Solution:
In the given right triangular prism, we have 3 rectangle surfaces and 2 triangular surfaces.
Area of a rectangle is
[tex]Area=length\times width[/tex]
Area of rectangle with length 4 cm and width 3 cm is
[tex]A_1=4\times 3=12\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 4 cm is
[tex]A_2=4\times 4=16\text{ cm}^2[/tex]
Area of rectangle with length 4 cm and width 5 cm is
[tex]A_3=4\times 5=20\text{ cm}^2[/tex]
Area of a triangle is
[tex]Area=\dfrac{1}{2}\times base\times height[/tex]
Area of triangle with base 3 cm and height 4 cm is
[tex]A_4=\dfrac{1}{2}\times 3\times 4[/tex]
[tex]A_4=\dfrac{12}{2}[/tex]
[tex]A_4=6\text{ cm}^2[/tex]
Bottom and top triangular surfaces are equal.
[tex]A_5=A_4=6\text{ cm}^2[/tex]
Now, total surface area of the box is
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=12+16+20+6+6[/tex]
[tex]A=60\text{ cm}^2[/tex]
Paper cost = 2 cents per square centimeter
Cost of 60 square centimeter paper is
[tex]60\times 2=120\text{ cents}[/tex]
Therefore, the cost to cover the entire box is 120 cents or $1.2.
Please hurry, I have to turn this in Today. I’ll be posting more questions on it.
Answer:
24 cm square
Step-by-step explanation:
Formula: ab/2. ( a* b = leg * leg)
6*8/2. (formula)
48/2 (simplify)
24 cm square ( answer)
Accuracy not garunteed
Helppp me faststttttt plzzzzz
what percent of 12 is 40?
A. 0.25%
B. 4%
C. 25%
D. 40%
E. 400%
Answer:
25%
Step-by-step explanation:
If you would like to know what percent of 48 is 12, you can calculate this using the following steps:
x% of 48 is 12
x% * 48 = 12
x/100 * 48 = 12 /*100/48
x = 12 * 100 / 48
x = 25%
The correct result would be C. 25%.
6 ft
x ft
8 ft
12 ft
Answer:
576?
Step-by-step explanation:
I think...
What is the slope of the line graphed above?
Answer:
m=3, or in y-intercept form, y=3x-3
This subject is on integers
Answer:
|-8| = 8
Step-by-step explanation:
legit just the opposite of the integer.