When measuring board footage for some exotic woods, a carpenter must use 1.25 inches for thickness rather than 1 inch in her calculations. Write 1.25 in expanded form.
Answers
Hope this helps!
Answer: [tex]1.25=1+0.2+0.005[/tex]
Step-by-step explanation:
Given : When measuring board footage for some exotic woods, a carpenter must use 1.25 inches for thickness rather than 1 inch in her calculations.
To write : 1.25 in expanded form.
When we write a decimal number in expanded form, we are showing the place value of each digit.
Now, 1.25 can be written as :
[tex]1.25=1+0.2+0.005[/tex]
Hence, the expanded form of [tex]1.25=1+0.2+0.005[/tex]
Related Questions
4a=2b-7 solve for b
anyone know how to do this?
Answers
Final answer:
To solve for b in the equation 4a = 2b - 7, you need to add 7 to both sides and then divide by 2. The solution is b = (4a + 7)/2.
Explanation:
To solve the equation 4a = 2b - 7 for b, you want to isolate b on one side of the equation. This means we need to perform operations that will move all other terms away from b.
First, let's add 7 to both sides of the equation to get rid of the -7 that's subtracted from b:
4a + 7 = 2b
Next, we will divide both sides of the equation by 2 to solve for b:
(4a + 7)/2 = b
So, b equals to the expression (4a + 7)/2.
Melanie has a piece of cloth 12 and 1/3 yards long. How many 3/4 yard-long pieces can be cut from the cloth?
Answers
[tex]12 \frac{1}{3} = \frac{36}{3} + \frac{1}{3} = \frac{37}{3} [/tex]
Now, divide the two fractions. Since this is fraction division, the reciprocal is flipped and the two fractions multiplied.
[tex] \frac{37}{3} * \frac{4}{3} = \frac{148}{9} = 16 \frac{4}{9} [/tex]
The answer from the fraction division is 16 and four-ninths, but because you need a whole number as an answer,
the answer is 16 pieces.
Answer: 16 pieces
Step-by-step explanation:
To get the number of pieces, we simply divide 12 1/3 by 3/4
12 1/3 ÷ 3/4
but 12 1/3 = 37/ 4 ( converting to improper fraction)
12 1/3 ÷ 3/4
=37/ 3 ÷ 3/4
= 37/3 × 4/3
= 148/9
= 16. 44444
= 16 approximately
Therefore we can get 16 pieces of yard from the cloth
David obtained 10 out of 20 votes in an election. what percentage of the votes did David receive?
Answers
A number minus 25 is equal 51
Answers
Rewrite everything only in parenthesis.
x - 25 = 51
Now, we can solve.
To solve for x, we need for it to be on one side by itself. However, x is subtrating 25. To get rid of -25, we must perform the opposite order of operations.
Remember, what you do to one side of an equation, you must do to the other.
Add 25 to both sides.
-25 + 25 = 0
51 + 25 = 76.
We are now left with:
x = 76.
I hope this helps!
This is the expression that would be written; in which "x" refers to the particular number.
To solve for that number, one would add 25 to EACH SIDE of the equation; to isolate "x" (the particular number to be solved for) on ONE SIDE of the equation; and to solve for "x" (that particular number) ; AS FOLLOWS:
_________________________________
x − 25 = 51 ;
Add 25 to each side of the equation;
x − 25 + 25 = 51 + 25 ;
to get:
x = 76.
____________________________________________
The particular number is: " 76 " .
____________________________________________
how tall is a person whose arm span is 66 inches? What is the arm span of a 74-inch-tall person?
Answers
The arm span of 74- inch tall person is 74 inches and height of person with 66 inches arm span is 66 inch.
What is arm span?Your arm span is the distance between the middle fingertips on each hand when you stretch your arms out as far as they can reach.
arm span= 66 inches
As, height of person= 74 inch
The person who is having 66inch arm span also being 66inches in height,
which means the if the arm span is of the 74inch
then man would also be 74inch arm span
This is because your arm span equals your height.
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Final answer:
A person with an arm span of 66 inches is likely to be about 66 inches tall, and a 74-inch-tall person likely has an arm span of about 74 inches. The height in meters of a person who is 6 feet 1.0 inch tall is about 1.8542 meters.
Explanation:
Understanding Arm Span and Height Relationships
The relationship between arm span and height is interesting as they tend to be about the same for an individual. For a person with an arm span of 66 inches, we can estimate that the person's height is approximately the same, around 66 inches. However, this relationship can vary slightly based on individual proportions.
Conversion between Inches and Meters
To convert a person's height from feet and inches to meters, we use the conversion factor 1 meter equals 39.37 inches. For a person who is 6 feet 1.0 inch tall (which equals 73 inches in total), their height in meters would be:
Height in meters = (73 inches) / (39.37 inches per meter) = 1.8542 meters (rounded to four decimal places).
Estimates Based on Anthropometric Data
The arm span of a 74-inch-tall person would again typically be close to their height, so around 74 inches. These estimates are part of anthropometric data, which helps in understanding human body measurements in various fields, including ergonomics, clothing design, and health assessments.
how does 0.03 compare to 0.003
Answers
first which one is higher?
0.03 is 10 times higher than 0.003.
to get the answer, multiply 0.003 by 10
=> 0.003 x 10 = 0.03
And the value of 0.03 is hundredths and 0.003 is thousandths.
Find the quotient.
n 7 ÷ n 3
Answers
Answer: [tex]n^4[/tex]
Step-by-step explanation:
The given division problem is [tex]n^7\div n^3[/tex]
The law of exponents says that [tex]a^{m+n}=a^ma^n[/tex]
Therefore, [tex]n^7=n^{3+4}=n^3n^4[/tex]
Now, the division problem becomes
[tex]n^7\div n^3\\\\=\frac{n^7}{n^3}\\\\=\frac{n^3n^4}{n^3}\\\\\text{Cancel }n^3\text{ as common from numerator and denominator, we get}\\\\n^7\div n^3=n^4[/tex]
hence, the quotient of the given problem = [tex]n^4[/tex]
What is the x coordinate of the vertex of the parabola whose equation is y=3x^2+9x?
A. -3
B. -1 and a half
C. -2/3
Answers
1st derivative is y=6x+9.
6x+9=0 => x=-9/6 = -3/2
So B is the answer.
In a group of 60 students, 12 students take Algebra I, 18 students take Algebra II, and 8 students take both subjects. How many students don't take either of these subjects?
Answers
18-8=10.
10+4+8=22
60-22=38
what is the decimal representation of 27/100?
Answers
.27
Glad I Could Help, And Good Luck!
My Brainly Name: AnonymousGiantsFan
since 100/100 = 1.0 obviously 27/100 = .27
The map shows Santa Cruz Boulevard and the construction site for the new town hall. Find the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard.
Answers
Answer:
the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
Step-by-step explanation:
The slope is find by 2 points on line [tex](x_1,y_1)\,\text{and}\,(y_2,y_2)[/tex] is calculated as; [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]Equation of line is in slope-intercept form is written as;[tex](y-y_1)=m(x_2-x_1)[/tex]
We can easily take two points from given graphs are
(2,5) and (6,7)
The slope of line is;
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{7-5}{6-2}[/tex]
[tex]m=\frac{2}{4}[/tex]
[tex]m=\frac{1}{2}[/tex]
the slope of line is [tex]\frac{1}{2}[/tex]
Now, find the equation of line with the slope-intercept form
[tex](y-y_1)=m(x-x_1)[/tex]
[tex](y-5)=\frac{1}{2}(x-2)[/tex]
Add both the sides by 5 in above expression,
[tex]y=\frac{1}{2}(x-2)+5[/tex]
[tex]y=\frac{x}{2}-1+5[/tex]
[tex]y=\frac{x}{2}+4[/tex]
Therefore, the equation of a “street” that passes through the building site and is parallel to Santa Cruz Boulevard[tex]y=\frac{x}{2}+4[/tex]
Help me please asap :(
Answers
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
-----------------------------------------------------------
For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
Solve 5^x=81. 2
Round to the nearest ten-thousandth.
X≈????
Answers
5^x=81.2 take the natural log of both sides
xln5=ln81.2 divide both sides by ln5
x=ln81.2/ln5
x≈2.7320 (to nearest ten-thousandth)
If you just meant 5^x=81, the process is the same
5^x=81 take the natural log of both sides
xln5=ln81 divide both sides by ln5
x=ln81/ln5
x≈2.7304 (to nearest ten-thousandth)
8x10,000+8x1,000+7x100+6x1
Answers
Answer:
STep by step
Step-by-step explanation:
Solve the following equation by factoring. 2x 2 - 5x - 12 = 0
Answers
(2x + 3)(x - 4) = 0
2x+3 = 0; x = -3/2
x - 4 = 0; x =4
answer
x = 4 and x = -3/2
The solutions to the given quadratic equation are x=4 and x= -3/2.
The given quadratic equation is 2x²-5x-12=0.
By splitting the middle term, we get
2x²-8x+3x-12=0
2x(x-4)+3(x-4)=0
(x-4)(2x+3)=0
(x-4)=0 and (2x+3)=0
x=4 and 2x=-3
x=4 and x= -3/2
Therefore, the solutions to the given quadratic equation are x=4 and x= -3/2.
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PLEASE HELP!! ISSA DUMB KID!
Answers
9-1= 8 <=== length
The height spans from 4 to 7.
7-4=3 <=== height
Area of a rectangle is equal to length times width.
8*3=24
Final answer: C
How many leaves on a tree diagram are needed to represent all possible combinations tossing a coin and rolling a dice
Answers
The total number of outcomes of tossing a coin = 2
The total number of possible outcomes of executing both experiments is 6*2=12, which is also the number of leaves (end of the branch of a tree) on a tree diagram.
With _______ insurance, the insured agrees to pay a specific premium each year until death. half life
Answers
With whole life insurance, the insured agrees to pay a specific premium each year until death.
Whole life insurance is a plan that requires you to pay premiums for you entire life, thus it is known as "whole life."
If a point is equidistant from the two sides of an angle, then it is:
A. on the perpendicular bisector.
B. the vertex of the angle.
C. on the angle bisector.
D. on one side of the angle.
Answers
A point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
What is angle bisector theorem?An angle bisector is a straight line drawn from the vertex of a triangle to its opposite side in such a way, that it divides the angle into two equal or congruent angles.
For the given situation,
Any point that is on the angle bisector is an equal distance ("equidistant") from the two sides of the angle.
A point which is always equidistant from all the sides is the point of intersection of internal angle bisectors.
Hence we can conclude that a point is equidistant from the two sides of an angle, then it is option (C) on the angle bisector is the correct answer.
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What is the greatest common factor for 12 and 18 and 26
Answers
the numbers are..
1 and 2 and the greatest one is 2 thats your answer
Hope this helps
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Frank is surveying shoppers about their use of the new food court in a mall. Which question in his survey is a statistical question?
A. How many hours do you spend at the food court each month?
B. Where is the food court located in the mall?
C. How many restaurants are there in the food court?
D. Who is the manager of the food court?
Answers
Answer:
Step-by-step explanation:
The answer to this question is answer A.
Which of the binomials below is a factor of this trinomial? x2 - 5x - 36 A. x + 4 B. x - 4 C. x2 + 7 D. x - 7
Answers
Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
What is Polynomial?
Polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and positive-integer powers of variables
The given trinomial is x² - 5x - 36
Now we have to factorize the given polynomial.
x² - 9x +4x - 36
x(x-9)+4(x-9)
(x+4)(x-9)
The factorial form of the trinomial x² - 5x - 36 is (x+4)(x-9)
So x+4 is the binomial factor of the given trinomial.
Hence, Option A is correct, x+4 is the binomial factor of the given trinomial x² - 5x - 36
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Harvey the wonder hamster can run 3 1/6 km in 1/4 hour find his average speed in kilometers pe hour
Answers
there are 4 quarters to 1 hour
3 1/6 x 4 =
19/6 * 4 = 76/6 = 12 4/6, reduces to 12 2/3 km per hour
Answer:- The average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].
Explanation:-
Given: Distance traveled by Harvey [tex]=3\frac{1}{6}\ km=\frac{19}{6}\ km[/tex]
Time taken[tex]=\frac{1}{4}\ hour[/tex]
[tex]Speed=\frac{Distance}{Time}\\\Rightarrow\ Speed=\frac{\frac{19}{6}}{\frac{1}{4}}\\\\=\frac{19\times4}{6}\\\\=\frac{38}{ 3}\\\\=12\frac{2}{3}\ km/hour[/tex]
Therefore, the average speed of Harvey the wonder hamster is[tex]12\frac{2}{3}\ km/hour[/tex].
Out of 70 student 70% passed how many student passed
Answers
70% = 0.70
70 * 0.70 = 49
so 49 students passed
what is the converse to the following conditional statement if x=12 then 2x-5=19
Answers
For the given conditional statement, the converse will be:
if 2x-5=19, then x=12
Now we need to check whether the converse is true or not:
2x-5=19
2x=19+5=24
x=24/2=12
Thus, the converse is true
Extra note:
When the converse of the conditional statement is found to be true, then this statement is said to be a bi-conditional statement and we write the converse as follows:
2x-5=19 if and only if x=12
Final answer:
The converse of the given conditional statement 'if x=12 then 2x-5=19' is 'if 2x-5=19, then x=12'. To verify its truth, we solve for x when 2x-5 equals 19, resulting in x equaling 12, thus showing that in this instance, the converse is true.
Explanation:
The converse of a conditional statement is formed by swapping the hypothesis and the conclusion of the original statement. For the statement 'if x=12 then 2x-5=19', its converse would be 'if 2x-5=19, then x=12'. To test the validity of the converse, we substitute the value of x back into the equation 2x-5 and check if it equals 19 when x=12.
However, we need to be cautious because the converse of a true conditional statement is not always true. To determine the truth of the converse, one must check if every instance where 2x-5 equals 19 also means that x must be equal to 12. If there is even a single case where 2x-5 is 19 and x is not 12, then the converse is not true.
For instance, let's test the converse: If we solve the equation 2x-5=19 for x, we get:
x = (19+5)/2
x = 24/2
x = 12
Therefore, for this specific case, the original statement and the converse are both true.
what is 561 divided by 3
Answers
Solve for t: d = rt
t = dr
t = r/d
t = d/r
t = d + r
Answers
Third choice
Answer:
t = d/r
Step-by-step explanation:
In order to solve an equation for another term from which is initally solved by another term you just have to leave the term you want to solve the equation for, in this case the "t" and to do so since in this formula it is multiplying the "r" we haec to divide both sides of the equation by "r":
[tex]d=rt[/tex]
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
Now we eliminate the since they are in both sides of the fraction:
[tex]\frac{d}{r} =\frac{rt}{r}[/tex]
And the function is solved for t.
[tex]t=\frac{d}{r}[/tex]
A set of equations is given below: Equation E: c = 2d + 1 Equation F: c = 3d + 7 Which statement describes a step that can be used to find the solution to the set of equations? (1 point)
Equation F can be written as c = 3(c – 1) + 7.
Equation F can be written as c = 2(c – 7) + 1.
Equation F can be written as d + 1 = 3d + 7.
Equation F can be written as 2d + 1 = 3d + 7.
Answers
Neil wants to buy some video games over the Internet. Each game costs $25.01 and has a shipping cost of $9.98 per order. If Neil wants to spend no more than $60 for his video games, which inequality shows the maximum number of video games, p, that he can buy? 9.98 + 25.01p ≤ 60, so p ≤ 2 9.98 − 25.01p ≤ 60, so p ≤ 4 9.98p + 25.01p ≤ 60, so p ≤ 5 9.98p − 25.01p ≤ 60, so p ≤ 6
Answers
Answer:
9.98 + 25.01p ≤ 60, so p ≤ 2
Step-by-step explanation:
I took a test and had this question got the answer you were told wrong
simplify this expression x^8 y^-26