write 15% as a fraction step by step
Answer:
15/100
Step-by-step explanation:
15% is out of 100% so when writing it into a fraction it is 15 over 100, because 15% is out of 100%
Hint:If you want to put it into a decimal it will be 0.15 so when turning it into a fraction, the 1 is in the tenths place and the 5 is in the hundredths place.
A large water tank holds 600 gallons of water. It is losing water at the rate shown in the table.
Answer:
Part A - The answer is C
Part B - a.true, b.true, c.false, d.true.
Step-by-step explanation:
Part A
The slope shown on the table is -60 because the table shows that after each hour, the Gallons of Water decrease by 60.
Part B
a. The slope is -60 not -600, this was established on Part A.
b. We start off with 600 gallons of water. The equation is y = 600 - 60x. If we input 7 as x, we get 600 - 420 which is 180.
c. The initial value was 600, -60 is the slope.
d. As mentioned in b. of part B.
A linear function changes by a constant rate.
The slope is -60, and it represents the rate at which the amount of water changes hourly.The true statements are (b) and (d)The false statements are (a) and (c)Two points on the table are given as:
[tex](x,y) = (0,600)\ (1,540)[/tex]
The slope (m) of the points is calculated as:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{540 - 600}{1-0}[/tex]
[tex]m = \frac{- 60}{1}[/tex]
[tex]m = - 60[/tex]
So, the slope is -60, and it represents the rate at which the amount of water changes hourly.
The function of the table is represented as:
[tex]y = -60x + 600[/tex]
So:
(a) is false, because the slope is -60
(b) is true, because y = 180 when x = 7
(c) is false, because the initial value is 600
(d) is true
Read more about linear functions at:
https://brainly.com/question/15602982
z = -400i - 44.5
What is the imaginary part of z?
Answer:
-400i
General Formulas and Concepts:
Algebra II
Complex Form: a + biStep-by-step explanation:
Step 1: Define
z = -400i - 44.5
Step 2: Identify
Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i
Add the Fractions: Simplify if possible
10 1/3 + 1 2/3 =
Answer:
I believe the answer is 12
Answer:
the correct answer would be 12
Step-by-step explanation:
10 1/3 + 1 2/3
31/3 + 1 2/3
31/3 + 5/3
=12
Hope this helps, happy holidays!!
What is the answer here?
9514 1404 393
Answer:
D
Step-by-step explanation:
The coefficient of 5/4 in the given equation tells you that you are looking for a table or graph that has a y-increase of 5 for each x-increase of 4.
Graph D is the one.
__
Let's look at the choices:
A: y increases for an x-increase of 4
B. y increases 16 (from -7 to 9) for an x-increase of 4 (from -2 to 2)
C. y increases -5 (from -9 to -14) for an x-increase of 4 (from 4 to 8)
D. y increases 5 (from -2 to 3) for an x-increase of 4 (from -4 to 0)
The temperature dropped from 67 degrees to 34 degrees. What is the change in temperature?
Answer:
A 33 degree change
Step-by-step explanation:
67-34=33
9. The diameter of the Earth is 7899.83 miles from the North Pole to the South Pole and 7926.41 miles from opposite points at the equator.
a. Find the approximate surface area of Earth using each measure.
b. About 75% of Earth's surface is covered by water. Find the surface area of water on Earth, using the diameter of the Earth is 7926.41 miles from opposite points at the equator.
Answer:
a. The approximate surface area of the Earth based on the diameter of the Earth measured from the poles is approximately 1.961 × 10⁸ mi²
The approximate surface area of the Earth based on the diameter of the Earth measured from the equator is approximately 1.974 × 10⁸ mi²
b. The surface area of the water on Earth using the diameter of the Earth measured from opposite points of the equator is approximately 1.480 × 10⁸ mi²
Step-by-step explanation:
The given parameters are;
The diameter of the Earth measured from the North to the South pole, [tex]D_p[/tex] = 7899.83 miles
The diameter of the Earth measured from (across) opposite points of the equator, [tex]D_e[/tex] = 7926.41 miles
a. The surface area, [tex]A_E[/tex], of the Earth, taking the Earth as a perfect sphere, is given as follows;
A = 4 × π × r²
Where;
r = The radius of the sphere = 1/2 × the diameter of the sphere
For the diameter measured from poles, [tex]r_p[/tex] = [tex]D_p[/tex]/2 = (7899.83 miles)/2 = 3949.915 miles
The approximate surface area of the Earth based on the diameter of the Earth measured from the poles, [tex]A_{Ep}[/tex] = 4 × π × (3949.915 miles)² = 196058359.283 mi² ≈ 1.961 × 10⁸ mi²
For the diameter measured from equator, [tex]r_e[/tex] = [tex]D_e[/tex]/2 = (7926.41 miles)/2 = 3963.205 miles
The approximate surface area of the Earth based on the diameter of the Earth measured from the equator, [tex]A_{Ee}[/tex] = 4 × π × (3963.205 miles)² = 197379906.233 mi² ≈ 1.974 × 10⁸ mi²
b. The percentage of the surface area of the Earth covered by water ≈ 75%
The surface area of water on Earth using the diameter of the Earth = 7926.41 miles (the diameter measured from the equator), we have;
The area of the Earth with a diameter of 7926.41 miles was given as [tex]A_{Ee}[/tex] = 4 × π × ((7926.41 miles)/2)² = 197379906.233 mi²
The surface area of the water on Earth = 75% × The area of the Earth = 75/100 × 197379906.233 = 148034929.675 mi² ≈ 1.480 × 10⁸ mi²
If a relation has more numbers in its range than in its domain, what has to be true?
Answer:
Both the domain and range are the set of all real numbers. For the absolute value function f(x)=|x| f ( x ) = | x | , there is no restriction on x . ... For the cubic function f(x)=x3 f ( x ) = x 3 , the domain is all real numbers because the horizontal extent of the graph is the whole real number line. this is the best i can do if its not helpful i guess u can ask ur teacher.
random...............
What is the solutions of the following system of equations.
y = -2x + 2
y = x - 1
Answer:
x = 1, y = 0
Step-by-step explanation:
Given the 2 equations
y = - 2x + 2 → (1)
y = x - 1 → (2)
Substitute y = x - 1 into (1)
x - 1 = - 2x + 2 ( add 2x to both sides )
3x - 1 = 2 ( add 1 to both sides )
3x = 3 ( divide both sides by 3 )
x = 1
Substitute x = 1 into either of the 2 equations for corresponding value of y
Substituting into (2)
y = 1 - 1 = 0
Solution is (1, 0 )
Zara has forgotten her 4-digit PIN code.
She knows the first digit is a factor of 20 and the 4 digits make a number divisible by 2.
How many different sets of 4 digits could it be?
Step-by-step explanation:
1st digit : 1 / 2 / 4 / 5
4th digit : 0 / 2 / 4 / 6 / 8
Total number of sets = 4 * 10 * 10 * 5 = 2000.
I need help with this question yeah i know i am spamming but i have to get this done or my mom will make me live with my dad!!!1!!!!!
Terry the plumber charges a base fee of $40 for each visit to someone's home plus $25 each hour for
labor. When Kathy received her bill after he came to fix a leak in her sink, the total charge was $152.50.
How many hours did Terry work on Kathy's sink?
Answer:
4.5 hours
Step-by-step explanation:
[tex]what \: is \: the \: radius \: 11 \sqrt{2(9.8) r} [/tex]
Answer:
radius r = 9.8 m
base circumference C = 61.575216 m
volume V = 1971.22792 m3
curved surface area A = 603.437117 m2
base surface area B = 301.718558 m2
total surface area K = 905.155675 m2
Liam scored 2 goals out of 5 tries. What percent
did he score?
Answer:
40%
Step-by-step explanation:
because im just built different
Simplify:
24 ÷ 4 × 3 - 6 × 5
A. -28
B. -12
C. 60
D. -20
Answer:
Ameliorate retort, pertaining to reinstating interrogate is B., -12.
Step-by-step explanation:
Availing albeit maneuvering the Order of Operations (OO), the contiguous albeit proximate expression may evaluate as the preeminent imminent:
Groups: Not identified.Exponents: Not identified. Multiplication/ Division: 6 · 3 - 6 · 5 ⇒ Addition/ Subtraction: 18 - 30 = -12- Thus, the ameliorate retort, reinstating interrogate is the aggregate, -12.
*Hope this helps.
(x-10)-(x-20)
simplify this
=======================
Work Shown:
(x-10)-(x-20)
x-10-x+20
(x-x)+(-10+20)
0x+10
0+10
10
Solve for x. Show all your work:
Solve the equation by typing out the correct steps of the equation.
2x + 3 + 4x = 6x + 3
x =
pls i need to know before 1
Answer:
x = infinite amount of solutions
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Algebra I
Combining Like TermsStep-by-step explanation:
Step 1: Define Equation
2x + 3 + 4x = 6x + 3
Step 2: Solve for x
Combine like terms: 6x + 3 = 6x + 3Subtract 3 on both sides: 6x = 6xDivide 6 on both sides: x = xHere we see that x does indeed equal to x.
∴ x = infinite amount of solutions.
2x + 3 + 4x = 6x + 3
Combine the like terms on the left side
2x + 4x = 6x
6x + 3= 6x + 3
Subtract 3 from each side
6x = 6x
Divide each side by 6
x = x
No matter what x is, they are the same. It has infinite solutions.
Can someone really help me :(
Area of triangle:
A= 1/2*b*h
= 1/2 *(29)* (19)
= 1/2 *(551)
= 275.5 in^2
Area of rectangle:
A= l * w
= (29) * (10)
= 290 in^2
Total Area:
275.5 + 290 = 565.5 in^2
Hope this helps! Have a great day :)
Answer:
565.5 in
Step-by-step explanation:
The area for a rectangle is A = lw
So A = (29)(10)
A = 290
The area for a triangle is A = 1/2bh
So A = 1/2(29)(19)
A = 1/2(551)
A = 275.5
You combine the two numbers to get a total area of 565.5 in
117. State whether the answer is greater than i or less than
Answer:
1) greater than
2) less than
3) greater than
4)less than
5) greater than
6) greater than
Step-by-step explanation:
HELP MEEEE PLEASE i don't know how to do this
Answer:
5 hours
Step-by-step explanation:
35x+25 = 40x
25=5x
x= hours
help meh for points pleasee
Answer:
the answer is 43
Step-by-step explanation:
15 is what % of 60:(
Answer:
25%
Step-by-step explanation:
SOMEONE PLS HELP ME PLS ITS DUE TMRW
Joanna is 152cm tall .Kristal is 8cm shorter what is the sum of heights.
Answer:
296 cm
Step-by-step explanation:
Joanna is 152cm tall
Kristal is 152 - 8 = 144 cm
The sum of the heights is
152 + 144 =296 cm
I NEED HELP! what shape is symmetry ?
Answer:
E, the heart
Step-by-step explanation:
Answer:
The heart
Step-by-step explanation:
It is able to flip and still look the same
How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?
Answer:
Adult tickets sold: 156
Step-by-step explanation:
Adult ticket: x
Student ticket: y
x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560
6x + 4.5y = 1404 ===> 6x + 4.5y = 1404
________________
add the two equations to eliminate a variable: -1.5y = -156
divide by -1.5: y = 104
substitution to find x:
x + y = 260
x + 104 = 260
x = 156
please help with the question and explanation for the answer, please
Answer:
B
Step-by-step explanation:
to find the percentage, put 200 (electricity and cable) over 2500 (monthly budget) and multiply it by 100. So 200/2500 * 100/1. Hope that helps
Write 12 1/3 as an improper fraction.
Answer: 37/3
Step-by-step explanation:
12 1/3 = 12*3+1/3 = 37/3
Answer:
[tex]\frac{37}{3}[/tex]
Step-by-step explanation:
[tex]12\frac{1}{3}[/tex]
When converting mixed numbers (such as the one above), to improper fractions, we must first multiply the whole number by the denominator:
[tex]12*3=36[/tex]
Then, add the numerator the the product:
[tex]36+1=37[/tex]
Now, put the sum over the denominator to get your solution:
[tex]\frac{37}{3}[/tex]
-
To check your work, you can convert the improper fraction to a mixed number to make sure you will end up with [tex]12\frac{1}{3}[/tex].
Divide [tex]37[/tex] into [tex]3[/tex]:
[tex]12[/tex] with a remainder of [tex]1[/tex]
Put the remainder over the denominator:
[tex]12\frac{1}{3}[/tex]
Therefore, our solution is correct!
On her way to visit her relatives, Jessica drives 180 miles in 4 hours. What is her average rate of speed in miles per hour?
ASAP!!!
Answer:
It is 50 mph
Step-by-step explanation: