0.42 inch of rain fell in 3 hours. How many inches of rain fell per hour?
divide total amount (0.42) by number of hours (3)
0.42 / 3 = 0.14 inches per hour
math question down below
Joe works full time as a carpenter and brings home $3,000 per month. He owes a total of $1,500 in fixed expenses every month, which includes items such as rent and insurance. If Joe had $1,000 in variable expenses such as groceries and entertainment, what would be his ending balance?
Answer:
The answer is $500.
Step-by-step explanation:
Joe works full time as a carpenter and brings home $3,000 per month.
He owes a total of $1,500 in fixed expenses every month.
Joe had $1,000 in variable expenses.
Total expenses are = [tex]1500+1000=2500[/tex] dollars
So, his ending balance will be = [tex]3000-2500=500[/tex] dollars
Therefore, the answer is $500.
Kendall recently received a job offer which required him to move his house full of furniture across the country from Columbia, South Carolina, to Riverside, California. To manage his moving expenses, Kendall kept track of the amount of gasoline used by the moving truck he rented. The truck used 109 gallons of gas to drive 1,092 miles from Columbia to Des Moines, Iowa. On the next leg of the drive, the truck used 67 gallons of gas to drive 671 miles from Des Moines to Denver, Colorado. Finally, he used 99 gallons of gas to drive 985 miles from Denver to Riverside, California. Using x to represent the number of miles and y to represent the number of gallons, create a table of values to represent this relation.
Answer:
Step-by-step explanation:
A table of values is generally used when there are few values of the independent variable "x" and their corresponding values of the dependent variable "y".
x = Number of miles (Independent variable)
y = Number of gallons (dependent variable)
The table of values can be represented as follows:
x ------------------- y ------- Relationship (x / y)
1,092 ------------ 109 --------- 10.02
671 -------------- 67 ---------- 10.02
985 ------------- 99 ----------- 9.95
--------------------------------------------------
Total 2,748 ----------- 275 ---------- 9.99
Hope this helps!
How many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe?
To find how many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe, you need to divide the length of the pipe by the length of each piece. The answer is 8 4/27 lengths of pipe.
Explanation:To find how many 3/4-foot lengths of pipe can be cut from a 6 1/3-foot pipe, we need to divide the length of the pipe by the length of each piece. To do this, we convert both the length of the pipe and the length of each piece to the same unit of measurement. Here's how:
Convert 6 1/3 feet to improper fraction: 6 1/3 = 19/3 feet.Convert 3/4 foot to improper fraction: 3/4 = 9/12 feet.Divide the length of the pipe by the length of each piece: 19/3 / 9/12 = (19/3) x (12/9) = 228/27 = 8 4/27.Therefore, you can cut 8 4/27 lengths of pipe from a 6 1/3-foot pipe.
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Point M is the midpoint of segment QR. If QM = 16 + x and MR = 2(x + 2), find the length of QR. QR = 12 QR = -12 QR = 28 QR = 56
A used electronics store pays $40 for each cell phone, spends $25 refurbishing the phone, and sells the refurbished phone to a customer for $100.
Answer:
h
Step-by-step explanation:
e
Simplify. 25√+35√−5√
Answer:
4√5
Step-by-step explanation:
i did the quiz
Answer:
4√5
Step-by-step explanation:
rule add 15, subtract 10 first term4
what are the common factors of 16a and 20ab
Dritown received 0.135 inches of rain in the spring of 2011. Write this decimal as a fraction in simplest form.
A: 7/50
B: 1/8
C: 13/100
D: 27/200
Answer:
[tex]\frac{27}{200}[/tex]
Step-by-step explanation:
Dritown received 0.135 inches of rain in the spring of 2011.
Convert 0.135 in fraction form
0.135 can be written as 0.135/1
To remove decimal multiply top and bottom by 1000
[tex]\frac{0.135 \cdot 1000}{1000} =\frac{135}{1000}[/tex]
Divide both top and bottom by 5
[tex]\frac{135}{1000}[/tex] becomes [tex]\frac{27}{200}[/tex]
It takes 45 minutes or 45 over 60 of an hour to cook a chicken? How many fourths of an hour is that?
A. 1
B. 2
C. 3
D. 4
Answer:
3
Step-by-step explanation:
Divide 60 by 4 and get your answer of 15.
Now, divide 45 by 15 to get 3.
It takes 3 fourths of 60 to cook a chicken.
Therefore, 3 would be your answer.
-kiniwih426
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You use a microscope to look at bacteria that is 0.0034 millimeter long. The microscope magnifies the bacteria 430 times. How long does the bacteria appear to be when you look at it through the microscope?
Answer:
1.462 millimeters.
Step-by-step explanation:
You use a microscope to look at bacteria that is 0.0034 millimeter long.
The microscope magnifies the bacteria 430 times.
So the bacteria appears 430 times long through the microscope.
We will multiply the length of bacteria by 430.
The size of bacteria appear = 430 × 0.0034
= 1.462 millimeters
The length of the bacteria would appear 1.462 millimeters through microscope.
A gardener brought 5 rabbits, after 2 months rabbits became 10, and after 4 months they became 20. If the growth continues on the same ratio, what would be the amount of rabbits after 1 year?
(a) 300 (b) 435
(c) 535 (d) 635
Answer:
Initial population of Rabbit = 5 rabbit
After 2 months
Population of Rabbit = 10
After 4 months
population of rabbit = 20
Formula for growth is :
G = [tex]G_{0}[1 + R]^n[/tex], where G is final population and [tex]G_{0}[/tex] is initial population, and R is growth rate.
1. 10 = 5 [1 +R]²
Dividing both sides by 5 , we get
2 = (1 + R)²
→ R + 1 = √2 ⇒ taking positive root of 2
→R = √2 -1
Amount of rabbit after 1 year = [tex]20(1 + \sqrt2 -1)^8= 20 \times (\sqrt2)^8= 20 \times 2^4= 20 \times 16= 320[/tex]
The amount of rabbits after 1 year is[tex]\boxed{635}[/tex].
Further explanation:
The terms of the geometric sequence can be written as,
[tex]a,ar,a{r^2},a{r^3}[/tex], ..
Here, is the first term and is the common ratio.
If the first term and the second term is known then, the value of can be obtained.
Now, the value of any term can be easily obtained with the help of a and r.
Explanation:
The initial population of the rabbit is 5.
After two months the population of the rabbit is 10.
After four months the population of the rabbit is 20.
After six months the population of the rabbit is 40.
After eight months the population of the rabbit is 80.
After ten months the population of the rabbit is 160.
After twelve months the population of the rabbit is 320.
The series can be formed as,
[tex]5,{\text{10, 20, 40, 80, 160, 320}}[/tex]
Now find the sum of all the population.
[tex]\begin{aligned}{\text{Sum}} &= 5 + 10 + 20 + 40 + 80 + 160 + 320\\&= 685 \\\end{aligned}[/tex]
The amount of rabbits after 1 year is [tex]\boxed{635}[/tex].
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Answer details:
Grade: High School
Subject: Mathematics
Chapter: Geometric progression
Keywords: Rabbit, gardener, same ratio, amount of rabbits, growth, continues, 1 year, Five rabbits, after two months,
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A stone was thrown into a pond from 8 feet above the surface of the water in the pond. Justin wrote +8 feet to represent the height from which the stone was thrown. What does 0 represent in this situation?
the depth of water in the pond
the level at which the stone fell
the surface of the water in the pond
the level from which the stone was thrown
Write an expression for the calculation 5 times the number 25 and then subtract the quotient of 14 and 7
Which is greater 7 1/8 or 7.025
19.25 tons=_______lbs. Show work
Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line. Which line segment in the image corresponds to EH in the pre-image?
A.) AD
B.) AB
C.) BC
D.) CD
Answer: A) AD
Step-by-step explanation:
Given: Quadrilateral ABCD is the result of a reflection of quadrilateral EFGH over the line.
We know that after reflection each point on the pre-image has a corresponding point on its image that is equidistant from a given line of reflection.
Since, EH shows the first and the last character of the name .
Thus, the line segment in the image corresponds to EH in the pre-image is AD because A is the first and D is the last character of the pre-image.
Luis purchased 24 purple plants and 8 pink plants. He wants to plant them in equal groups in his garden. What the largest number of groups he can make?
Simplify by collecting like terms: 2x-4-6x+8
The expression 2x - 4 - 6x + 8 is simplified as 4(1 - x).
What is Algebra?The analysis of mathematical representations is algebra, and the handling of those symbols is logic.
Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.
PEMDAS rule means for the Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to solve the equation in a proper and correct manner.
The expression is given below.
⇒ 2x - 4 - 6x + 8
Simplify the expression, then the value of the expression will be
⇒ 2x - 4 - 6x + 8
⇒ - 4x + 4
⇒ 4(1 - x)
The expression 2x - 4 - 6x + 8 is simplified as 4(1 - x).
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Which number line shows the graph of -0.7
find and intrepret the Slope
9th grade Algebra 1 help! PLEASE HELP ME! EXPLAIN YOUR ANSWERS :)
When one-fifth of the boys left, there were still b boys and g girls who stayed to see a program. What was the total number of boys and girls at the beginning of the program?
To find the total number of boys and girls at the beginning of the program, use the equations b2 = (1/5)b1, b = (4/5)b1, and g = g1. Then, the total number of boys and girls at the beginning is b1 + g1.
Explanation:To find the total number of boys and girls at the beginning of the program, we need to first determine the number of boys that left. Let's say the total number of boys at the beginning was b1 and the number of boys that left was b2.
Given that one-fifth of the boys left, we can write the equation: b2 = (1/5)b1.
Then, the number of boys remaining is: b = b1 - b2 = b1 - (1/5)b1 = (4/5)b1.
Similarly, the number of girls remaining is: g = g1, where g1 is the initial number of girls. Therefore, the total number of boys and girls at the beginning is: b1 + g1.
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The total number of boys and girls at the beginning of the program is represented by 5b + g, where 'b' represents the remaining boys after one-fifth left and 'g' represents all the girls who stayed for the program.
Explanation:To answer this, we must first understand that 'b' represents the number of boys left after one-fifth of them have exited. If we let 'B' denote the total number of boys initially present, then according to the prompt, B - 1/5*B = b. Simplifying this, we get B = 5b.
Now, along with the girls, the total number of children initially present would be B + g (since all girls stayed throughout the program). Plugging in the value of 'B' we found, we get the total as 5b + g.
So, the total number of boys and girls at the beginning of the program is represented by 5b + g.
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Kelly is saving money to buy a concert ticket. Her savings y for x days can be represented by the equation y=x+10. Graph the solutions of the equations?
Answer:
among us codes!
Step-by-step explanation:
TDGNQQ
The local newspaper has letters to the editor from 20 people. If this number represents 4% of all of the newspaper's readers, how many readers does the newspaper have?
Answer:
500
Step-by-step explanation:
25 x 20 = 500
Give the slope of y - 3 = 4 ( x + 8 ) and a point on the line.
Answer:
Slope of the line is 4 and the point on the line is (-8,3)
Step-by-step explanation:
The equation of the line is given by [tex]y-3=4(x+8)[/tex]
The point slope form of a line is
[tex]y-y_1=m(x-x_1)[/tex]
Here, m is the slope of the line
And the point [tex](x_1,y_1)[/tex] lies on the line.
On comparing the given equation with the point slope form of the line
[tex]m=4,x_1=-8,y_1=3[/tex]
Therefore, the slope is 4 and the point on the line is (-8,3)
The slope of the equation is 4, and a point on the line is (0,35)
The equation is given as:
[tex]y - 3 = 4(x + 8)[/tex]
Open the bracket
[tex]y - 3 = 4x + 32[/tex]
Add 3 to both sides
[tex]y = 4x + 35[/tex]
A linear equation is represented as:
y = mx + b
Where m represents the slope
So, by comparison:
The slope of the equation is 4
Set x = 0
y = 4 * 0 + 35
y = 35
Hence, a point on the line is (0,35)
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In a Toy store, the ration of dolls to teddy bears is 9:3. If the store has 240 dolls, how many teddy bears are in the store
There are 80 teddy bear in the store.
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
The ratio of dolls to teddy bears is,
⇒ 9 : 3
Number of dolls in the store = 240
Now,
Since, The ratio of dolls to teddy bears is,
⇒ 9 : 3
⇒ 3 : 1
So, Number of dolls = 3x
And, Number of teddy bears = x
We can formulate;
⇒ 3x = 240
Solve for x as;
⇒ x = 240 / 3
⇒ x = 80
Thus, Number of teddy bears = x
= 80
So, There are 80 teddy bear in the store.
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