The required money that the boy has is $13.50 initially.
Given that,
A boy spent one-half of his money on a book and one-third of his money on a pen. The remaining $2.25 he saved, how much money he had originally to be determined.
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Let the money boy has to be x,
According to the question,
x - x/2 -x /3 = 2.25
x(1 / 6) = 2.25
x = 2.25 × 6
x = $13.50
Thus, the required money that the boy has is $13.50 initially.
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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
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
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.
what are the common factors of 16a and 20ab
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.
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]
what can you conclude about the product of 7/8 and 8
Final answer:
The product of 7/8 and 8 is the multiplication of a fraction by a whole number, leading to the simplified result of 7. This is because multiplying by 8/8 (which equals 1) does not change the original numerator of the fraction.
Explanation:
When we talk about the product of 7/8 and 8, we are performing a multiplication between a fraction and a whole number. To do this, you can multiply the numerator of the fraction by the whole number and leave the denominator unchanged. Since 7/8 multiplied by 8/1 is the same as 7/8 times 8, you can simplify the equation by multiplying 7 by 8, which gives you 56, and then divide that by the denominator, which is 8. So, the product is 56/8, which simplifies to 7. This is because 8/8 is essentially 1, and multiplying by 1 doesn't change the value of the number, thus the product of 7/8 and 8 is the same as the numerator 7.
find the error sienna used base-ten blocks to find 45÷3 .explain her error
Final answer:
To spot Sienna's error in using base-ten blocks for dividing 45 by 3, we need to verify the even distribution of tens and ones among three groups. The correct result should be 15, with each group receiving 1 ten block and 5 ones blocks.
Explanation:
To find the error made by Sienna in dividing 45 by 3 using base-ten blocks, we need to visualize the process. The number 45 consists of 4 tens (which are blocks representing the number 10) and 5 ones (single blocks representing the number 1). Since she is dividing by 3, Sienna should group the blocks into 3 equal groups to find the quotient, which should be the same number in each group when the blocks are divided evenly.
If Sienna were to correctly divide the blocks to find 45 ÷ 3, she would need to distribute the 4 tens blocks evenly among 3 groups, which would give each group one ten blocks, with one ten blocks remaining. These remaining ten blocks should then be exchanged for ten one's blocks, which, added to the existing five one's blocks, makes a total of fifteen one's blocks. These fifteen blocks can then be evenly distributed, giving each group five blocks. In the end, each group will have one ten-block and five blocks, meaning the quotient is 15.
Therefore, the error that Sienna could have made could include not exchanging a remaining tens block for ones blocks, or not distributing the ones blocks correctly after exchanging. It’s important to keep track of remainders and ensure even distribution among the groups to find the correct quotient in division with base-ten blocks.
Jon invested 6,200 for 6 years at 3%.Calculate the simple interest.
Which number line shows the graph of -0.7
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
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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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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Which is greater 7 1/8 or 7.025
How to solve this?help!
Write an expression for the calculation 5 times the number 25 and then subtract the quotient of 14 and 7
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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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,
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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DO NOT COPY FROM ANOTHER ANSWER! I Will know!!
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
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
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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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.
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rule add 15, subtract 10 first term4
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.
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!
Simplify. 25√+35√−5√
Answer:
4√5
Step-by-step explanation:
i did the quiz
Answer:
4√5
Step-by-step explanation:
find and intrepret the Slope